%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO903^10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:09:19 AM UTC 2026
% Result : Theorem 6.70s 1.32s
% Output : CNFRefutation 6.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 62
% Syntax : Number of formulae : 1059 ( 186 unt; 0 typ; 8 def)
% Number of atoms : 17660 (4609 equ; 0 cnn)
% Maximal formula atoms : 17 ( 16 avg)
% Number of connectives : 22319 (3300 ~;6364 |; 7 &;12264 @)
% ( 1 <=>; 383 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 3895 ( 22 ^;3870 !; 3 ?;3895 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
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_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_sK1_SX0,type,
sK1_SX0: mworld ).
thf(tp_v1,type,
v1: mworld > $o ).
thf(tp_v2,type,
v2: mworld > $o ).
thf(tp_v3,type,
v3: mworld > $o ).
thf(tp_v4,type,
v4: mworld > $o ).
thf(mand,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_def) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv_def) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor_def) ).
thf(1,axiom,
( mlocal
@ ( mdia
@ ^ [W: mworld] : $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deontic1) ).
thf(2,axiom,
mlocal @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mnot @ v2 ) ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat50) ).
thf(3,axiom,
mlocal @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ v4 ) @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ v1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat49) ).
thf(4,axiom,
mlocal @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ v3 ) @ ( mor @ ( mbox @ ( mbox @ v2 ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat48) ).
thf(5,axiom,
mlocal @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ v1 ) @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat47) ).
thf(6,axiom,
mlocal @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mnot @ v4 ) ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v2 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat46) ).
thf(7,axiom,
mlocal @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ v3 ) @ ( mor @ ( mbox @ ( mnot @ v4 ) ) @ ( mbox @ ( mbox @ v3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat45) ).
thf(8,axiom,
mlocal @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mnot @ v4 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat44) ).
thf(9,axiom,
mlocal @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat43) ).
thf(10,axiom,
mlocal @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mbox @ v4 ) @ ( mor @ ( mbox @ ( mbox @ v2 ) ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat42) ).
thf(11,axiom,
mlocal @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mnot @ v2 ) ) @ ( mbox @ ( mbox @ v3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat41) ).
thf(12,axiom,
mlocal @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ v1 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat40) ).
thf(13,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ ( mbox @ v1 ) ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat39) ).
thf(14,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ ( mnot @ v4 ) ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat38) ).
thf(15,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mor @ ( mbox @ ( mbox @ v1 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat37) ).
thf(16,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat36) ).
thf(17,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mnot @ v3 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat35) ).
thf(18,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mbox @ ( mnot @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat34) ).
thf(19,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mbox @ v3 ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat33) ).
thf(20,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat32) ).
thf(21,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ v1 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat31) ).
thf(22,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ v1 ) @ ( mbox @ ( mbox @ v2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat30) ).
thf(23,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ v3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat29) ).
thf(24,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ v1 ) @ ( mbox @ ( mbox @ ( mnot @ v2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat28) ).
thf(25,axiom,
mlocal @ ( mor @ v3 @ ( mor @ ( mbox @ v1 ) @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat27) ).
thf(26,axiom,
mlocal @ ( mor @ v3 @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat26) ).
thf(27,axiom,
mlocal @ ( mor @ v3 @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ ( mbox @ v1 ) ) @ ( mbox @ ( mbox @ v2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat25) ).
thf(28,axiom,
mlocal @ ( mor @ v3 @ ( mor @ v4 @ ( mor @ ( mbox @ ( mbox @ v2 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat24) ).
thf(29,axiom,
mlocal @ ( mor @ v3 @ ( mor @ v4 @ ( mor @ ( mbox @ ( mbox @ v1 ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat23) ).
thf(30,axiom,
mlocal @ ( mor @ v3 @ ( mor @ v4 @ ( mor @ ( mbox @ v2 ) @ ( mbox @ ( mbox @ v1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat22) ).
thf(31,axiom,
mlocal @ ( mor @ v2 @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat21) ).
thf(32,axiom,
mlocal @ ( mor @ v2 @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ ( mnot @ v2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat20) ).
thf(33,axiom,
mlocal @ ( mor @ v2 @ ( mor @ ( mbox @ v4 ) @ ( mor @ ( mbox @ ( mbox @ v2 ) ) @ ( mbox @ ( mbox @ v3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat19) ).
thf(34,axiom,
mlocal @ ( mor @ v2 @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat18) ).
thf(35,axiom,
mlocal @ ( mor @ v2 @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat17) ).
thf(36,axiom,
mlocal @ ( mor @ v2 @ ( mor @ v4 @ ( mor @ ( mbox @ ( mnot @ v2 ) ) @ ( mbox @ ( mbox @ v2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat16) ).
thf(37,axiom,
mlocal @ ( mor @ v2 @ ( mor @ v4 @ ( mor @ ( mnot @ v3 ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat15) ).
thf(38,axiom,
mlocal @ ( mor @ v2 @ ( mor @ v3 @ ( mor @ v4 @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat14) ).
thf(39,axiom,
mlocal @ ( mor @ v1 @ ( mor @ ( mbox @ v2 ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat13) ).
thf(40,axiom,
mlocal @ ( mor @ v1 @ ( mor @ ( mbox @ v1 ) @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat12) ).
thf(41,axiom,
mlocal @ ( mor @ v1 @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat11) ).
thf(42,axiom,
mlocal @ ( mor @ v1 @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat10) ).
thf(43,axiom,
mlocal @ ( mor @ v1 @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ v4 ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat9) ).
thf(44,axiom,
mlocal @ ( mor @ v1 @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mbox @ ( mnot @ v3 ) ) @ ( mbox @ ( mbox @ v3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat8) ).
thf(45,axiom,
mlocal @ ( mor @ v1 @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mnot @ v4 ) @ ( mbox @ ( mbox @ ( mnot @ v2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat7) ).
thf(46,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v4 @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat6) ).
thf(47,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v3 @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat5) ).
thf(48,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v2 @ ( mor @ ( mbox @ ( mnot @ v3 ) ) @ ( mbox @ ( mbox @ v1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat4) ).
thf(49,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v2 @ ( mor @ ( mnot @ v3 ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat3) ).
thf(50,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v2 @ ( mor @ ( mnot @ v3 ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat2) ).
thf(51,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v2 @ ( mor @ v3 @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat1) ).
thf(52,axiom,
! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ V )
& ( mrel @ V @ U ) )
=> ( mrel @ W @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_transitive) ).
thf(53,axiom,
! [W: mworld] : ( mrel @ W @ W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(54,conjecture,
( mlocal
@ ^ [W: mworld] : $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',result1) ).
thf(55,negated_conjecture,
( ( mlocal
@ ^ [W: mworld] : $false )
= $false ),
inference(negate_conjecture,[status(cth)],[54]) ).
thf(56,plain,
$false = $false,
inference(unfold_def,[status(thm)],[55,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(57,plain,
( ( ? [SY4: mworld] :
( ( mrel @ mactual @ SY4 )
& $true ) )
= $true ),
inference(unfold_def,[status(thm)],[1,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(58,plain,
( ( ~ ( v4 @ mactual )
| ! [SY47: mworld] :
( ( mrel @ mactual @ SY47 )
=> ~ ( v2 @ SY47 ) )
| ! [SY48: mworld] :
( ( mrel @ mactual @ SY48 )
=> ! [SY19: mworld] :
( ( mrel @ SY48 @ SY19 )
=> ( v4 @ SY19 ) ) )
| ! [SY50: mworld] :
( ( mrel @ mactual @ SY50 )
=> ! [SY29: mworld] :
( ( mrel @ SY50 @ SY29 )
=> ~ ( v4 @ SY29 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(59,plain,
( ( ~ ( v4 @ mactual )
| ! [SY90: mworld] :
( ( mrel @ mactual @ SY90 )
=> ( v4 @ SY90 ) )
| ! [SY91: mworld] :
( ( mrel @ mactual @ SY91 )
=> ~ ( v1 @ SY91 ) )
| ! [SY92: mworld] :
( ( mrel @ mactual @ SY92 )
=> ! [SY75: mworld] :
( ( mrel @ SY92 @ SY75 )
=> ( v1 @ SY75 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(60,plain,
( ( ~ ( v4 @ mactual )
| ! [SY138: mworld] :
( ( mrel @ mactual @ SY138 )
=> ( v3 @ SY138 ) )
| ! [SY139: mworld] :
( ( mrel @ mactual @ SY139 )
=> ! [SY110: mworld] :
( ( mrel @ SY139 @ SY110 )
=> ( v2 @ SY110 ) ) )
| ! [SY141: mworld] :
( ( mrel @ mactual @ SY141 )
=> ! [SY120: mworld] :
( ( mrel @ SY141 @ SY120 )
=> ~ ( v4 @ SY120 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(61,plain,
( ( ~ ( v4 @ mactual )
| ! [SY187: mworld] :
( ( mrel @ mactual @ SY187 )
=> ( v1 @ SY187 ) )
| ! [SY188: mworld] :
( ( mrel @ mactual @ SY188 )
=> ! [SY160: mworld] :
( ( mrel @ SY188 @ SY160 )
=> ( v3 @ SY160 ) ) )
| ! [SY190: mworld] :
( ( mrel @ mactual @ SY190 )
=> ! [SY169: mworld] :
( ( mrel @ SY190 @ SY169 )
=> ( v4 @ SY169 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(62,plain,
( ( ~ ( v3 @ mactual )
| ! [SY239: mworld] :
( ( mrel @ mactual @ SY239 )
=> ~ ( v4 @ SY239 ) )
| ! [SY240: mworld] :
( ( mrel @ mactual @ SY240 )
=> ! [SY211: mworld] :
( ( mrel @ SY240 @ SY211 )
=> ~ ( v2 @ SY211 ) ) )
| ! [SY242: mworld] :
( ( mrel @ mactual @ SY242 )
=> ! [SY221: mworld] :
( ( mrel @ SY242 @ SY221 )
=> ~ ( v4 @ SY221 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(63,plain,
( ( ~ ( v3 @ mactual )
| ! [SY282: mworld] :
( ( mrel @ mactual @ SY282 )
=> ( v3 @ SY282 ) )
| ! [SY283: mworld] :
( ( mrel @ mactual @ SY283 )
=> ~ ( v4 @ SY283 ) )
| ! [SY284: mworld] :
( ( mrel @ mactual @ SY284 )
=> ! [SY267: mworld] :
( ( mrel @ SY284 @ SY267 )
=> ( v3 @ SY267 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(64,plain,
( ( ~ ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ! [SY319: mworld] :
( ( mrel @ mactual @ SY319 )
=> ~ ( v4 @ SY319 ) )
| ! [SY320: mworld] :
( ( mrel @ mactual @ SY320 )
=> ! [SY306: mworld] :
( ( mrel @ SY320 @ SY306 )
=> ( v4 @ SY306 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(65,plain,
( ( ~ ( v2 @ mactual )
| ! [SY371: mworld] :
( ( mrel @ mactual @ SY371 )
=> ! [SY332: mworld] :
( ( mrel @ SY371 @ SY332 )
=> ( v3 @ SY332 ) ) )
| ! [SY373: mworld] :
( ( mrel @ mactual @ SY373 )
=> ! [SY341: mworld] :
( ( mrel @ SY373 @ SY341 )
=> ( v4 @ SY341 ) ) )
| ! [SY375: mworld] :
( ( mrel @ mactual @ SY375 )
=> ! [SY351: mworld] :
( ( mrel @ SY375 @ SY351 )
=> ~ ( v1 @ SY351 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(66,plain,
( ( ~ ( v2 @ mactual )
| ! [SY423: mworld] :
( ( mrel @ mactual @ SY423 )
=> ( v4 @ SY423 ) )
| ! [SY424: mworld] :
( ( mrel @ mactual @ SY424 )
=> ! [SY395: mworld] :
( ( mrel @ SY424 @ SY395 )
=> ( v2 @ SY395 ) ) )
| ! [SY426: mworld] :
( ( mrel @ mactual @ SY426 )
=> ! [SY405: mworld] :
( ( mrel @ SY426 @ SY405 )
=> ~ ( v3 @ SY405 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(67,plain,
( ( ~ ( v2 @ mactual )
| ~ ( v4 @ mactual )
| ! [SY462: mworld] :
( ( mrel @ mactual @ SY462 )
=> ~ ( v2 @ SY462 ) )
| ! [SY463: mworld] :
( ( mrel @ mactual @ SY463 )
=> ! [SY449: mworld] :
( ( mrel @ SY463 @ SY449 )
=> ( v3 @ SY449 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(68,plain,
( ( ~ ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY503: mworld] :
( ( mrel @ mactual @ SY503 )
=> ! [SY478: mworld] :
( ( mrel @ SY503 @ SY478 )
=> ( v1 @ SY478 ) ) )
| ! [SY505: mworld] :
( ( mrel @ mactual @ SY505 )
=> ! [SY487: mworld] :
( ( mrel @ SY505 @ SY487 )
=> ( v4 @ SY487 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(69,plain,
( ( ~ ( v1 @ mactual )
| ! [SY557: mworld] :
( ( mrel @ mactual @ SY557 )
=> ! [SY518: mworld] :
( ( mrel @ SY557 @ SY518 )
=> ( v1 @ SY518 ) ) )
| ! [SY559: mworld] :
( ( mrel @ mactual @ SY559 )
=> ! [SY527: mworld] :
( ( mrel @ SY559 @ SY527 )
=> ( v4 @ SY527 ) ) )
| ! [SY561: mworld] :
( ( mrel @ mactual @ SY561 )
=> ! [SY537: mworld] :
( ( mrel @ SY561 @ SY537 )
=> ~ ( v3 @ SY537 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(70,plain,
( ( ~ ( v1 @ mactual )
| ! [SY610: mworld] :
( ( mrel @ mactual @ SY610 )
=> ~ ( v4 @ SY610 ) )
| ! [SY611: mworld] :
( ( mrel @ mactual @ SY611 )
=> ! [SY582: mworld] :
( ( mrel @ SY611 @ SY582 )
=> ( v4 @ SY582 ) ) )
| ! [SY613: mworld] :
( ( mrel @ mactual @ SY613 )
=> ! [SY592: mworld] :
( ( mrel @ SY613 @ SY592 )
=> ~ ( v4 @ SY592 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(71,plain,
( ( ~ ( v1 @ mactual )
| ! [SY660: mworld] :
( ( mrel @ mactual @ SY660 )
=> ~ ( v1 @ SY660 ) )
| ! [SY661: mworld] :
( ( mrel @ mactual @ SY661 )
=> ! [SY633: mworld] :
( ( mrel @ SY661 @ SY633 )
=> ( v1 @ SY633 ) ) )
| ! [SY663: mworld] :
( ( mrel @ mactual @ SY663 )
=> ! [SY642: mworld] :
( ( mrel @ SY663 @ SY642 )
=> ( v4 @ SY642 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(72,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY707: mworld] :
( ( mrel @ mactual @ SY707 )
=> ! [SY681: mworld] :
( ( mrel @ SY707 @ SY681 )
=> ~ ( v1 @ SY681 ) ) )
| ! [SY709: mworld] :
( ( mrel @ mactual @ SY709 )
=> ! [SY691: mworld] :
( ( mrel @ SY709 @ SY691 )
=> ~ ( v3 @ SY691 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(73,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY744: mworld] :
( ( mrel @ mactual @ SY744 )
=> ~ ( v3 @ SY744 ) )
| ! [SY745: mworld] :
( ( mrel @ mactual @ SY745 )
=> ! [SY731: mworld] :
( ( mrel @ SY745 @ SY731 )
=> ( v4 @ SY731 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(74,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ! [SY780: mworld] :
( ( mrel @ mactual @ SY780 )
=> ~ ( v4 @ SY780 ) )
| ! [SY781: mworld] :
( ( mrel @ mactual @ SY781 )
=> ! [SY767: mworld] :
( ( mrel @ SY781 @ SY767 )
=> ~ ( v1 @ SY767 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(75,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ! [SY815: mworld] :
( ( mrel @ mactual @ SY815 )
=> ( v3 @ SY815 ) )
| ! [SY816: mworld] :
( ( mrel @ mactual @ SY816 )
=> ! [SY802: mworld] :
( ( mrel @ SY816 @ SY802 )
=> ~ ( v1 @ SY802 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(76,plain,
( ( ( v4 @ mactual )
| ! [SY861: mworld] :
( ( mrel @ mactual @ SY861 )
=> ~ ( v1 @ SY861 ) )
| ! [SY862: mworld] :
( ( mrel @ mactual @ SY862 )
=> ! [SY833: mworld] :
( ( mrel @ SY862 @ SY833 )
=> ( v4 @ SY833 ) ) )
| ! [SY864: mworld] :
( ( mrel @ mactual @ SY864 )
=> ! [SY843: mworld] :
( ( mrel @ SY864 @ SY843 )
=> ~ ( v1 @ SY843 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(77,plain,
( ( ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY905: mworld] :
( ( mrel @ mactual @ SY905 )
=> ! [SY880: mworld] :
( ( mrel @ SY905 @ SY880 )
=> ( v1 @ SY880 ) ) )
| ! [SY907: mworld] :
( ( mrel @ mactual @ SY907 )
=> ! [SY889: mworld] :
( ( mrel @ SY907 @ SY889 )
=> ( v4 @ SY889 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(78,plain,
( ( ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY940: mworld] :
( ( mrel @ mactual @ SY940 )
=> ( v1 @ SY940 ) )
| ! [SY941: mworld] :
( ( mrel @ mactual @ SY941 )
=> ! [SY927: mworld] :
( ( mrel @ SY941 @ SY927 )
=> ( v2 @ SY927 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(79,plain,
( ( ( v4 @ mactual )
| ~ ( v1 @ mactual )
| ! [SY974: mworld] :
( ( mrel @ mactual @ SY974 )
=> ~ ( v1 @ SY974 ) )
| ! [SY975: mworld] :
( ( mrel @ mactual @ SY975 )
=> ! [SY961: mworld] :
( ( mrel @ SY975 @ SY961 )
=> ( v3 @ SY961 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(80,plain,
( ( ( v4 @ mactual )
| ~ ( v1 @ mactual )
| ! [SY1008: mworld] :
( ( mrel @ mactual @ SY1008 )
=> ( v1 @ SY1008 ) )
| ! [SY1009: mworld] :
( ( mrel @ mactual @ SY1009 )
=> ! [SY995: mworld] :
( ( mrel @ SY1009 @ SY995 )
=> ~ ( v2 @ SY995 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(81,plain,
( ( ( v3 @ mactual )
| ! [SY1046: mworld] :
( ( mrel @ mactual @ SY1046 )
=> ( v1 @ SY1046 ) )
| ! [SY1047: mworld] :
( ( mrel @ mactual @ SY1047 )
=> ~ ( v1 @ SY1047 ) )
| ! [SY1048: mworld] :
( ( mrel @ mactual @ SY1048 )
=> ! [SY1031: mworld] :
( ( mrel @ SY1048 @ SY1031 )
=> ( v4 @ SY1031 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(82,plain,
( ( ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ! [SY1089: mworld] :
( ( mrel @ mactual @ SY1089 )
=> ! [SY1063: mworld] :
( ( mrel @ SY1089 @ SY1063 )
=> ( v3 @ SY1063 ) ) )
| ! [SY1091: mworld] :
( ( mrel @ mactual @ SY1091 )
=> ! [SY1073: mworld] :
( ( mrel @ SY1091 @ SY1073 )
=> ~ ( v4 @ SY1073 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(83,plain,
( ( ( v3 @ mactual )
| ~ ( v1 @ mactual )
| ! [SY1131: mworld] :
( ( mrel @ mactual @ SY1131 )
=> ! [SY1106: mworld] :
( ( mrel @ SY1131 @ SY1106 )
=> ( v1 @ SY1106 ) ) )
| ! [SY1133: mworld] :
( ( mrel @ mactual @ SY1133 )
=> ! [SY1115: mworld] :
( ( mrel @ SY1133 @ SY1115 )
=> ( v2 @ SY1115 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(84,plain,
( ( ( v3 @ mactual )
| ( v4 @ mactual )
| ! [SY1172: mworld] :
( ( mrel @ mactual @ SY1172 )
=> ! [SY1147: mworld] :
( ( mrel @ SY1172 @ SY1147 )
=> ( v2 @ SY1147 ) ) )
| ! [SY1174: mworld] :
( ( mrel @ mactual @ SY1174 )
=> ! [SY1156: mworld] :
( ( mrel @ SY1174 @ SY1156 )
=> ( v4 @ SY1156 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(85,plain,
( ( ( v3 @ mactual )
| ( v4 @ mactual )
| ! [SY1214: mworld] :
( ( mrel @ mactual @ SY1214 )
=> ! [SY1188: mworld] :
( ( mrel @ SY1214 @ SY1188 )
=> ( v1 @ SY1188 ) ) )
| ! [SY1216: mworld] :
( ( mrel @ mactual @ SY1216 )
=> ! [SY1198: mworld] :
( ( mrel @ SY1216 @ SY1198 )
=> ~ ( v4 @ SY1198 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(86,plain,
( ( ( v3 @ mactual )
| ( v4 @ mactual )
| ! [SY1248: mworld] :
( ( mrel @ mactual @ SY1248 )
=> ( v2 @ SY1248 ) )
| ! [SY1249: mworld] :
( ( mrel @ mactual @ SY1249 )
=> ! [SY1235: mworld] :
( ( mrel @ SY1249 @ SY1235 )
=> ( v1 @ SY1235 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(87,plain,
( ( ( v2 @ mactual )
| ! [SY1300: mworld] :
( ( mrel @ mactual @ SY1300 )
=> ! [SY1260: mworld] :
( ( mrel @ SY1300 @ SY1260 )
=> ( v3 @ SY1260 ) ) )
| ! [SY1302: mworld] :
( ( mrel @ mactual @ SY1302 )
=> ! [SY1270: mworld] :
( ( mrel @ SY1302 @ SY1270 )
=> ~ ( v3 @ SY1270 ) ) )
| ! [SY1304: mworld] :
( ( mrel @ mactual @ SY1304 )
=> ! [SY1280: mworld] :
( ( mrel @ SY1304 @ SY1280 )
=> ~ ( v4 @ SY1280 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(88,plain,
( ( ( v2 @ mactual )
| ! [SY1352: mworld] :
( ( mrel @ mactual @ SY1352 )
=> ~ ( v1 @ SY1352 ) )
| ! [SY1353: mworld] :
( ( mrel @ mactual @ SY1353 )
=> ! [SY1324: mworld] :
( ( mrel @ SY1353 @ SY1324 )
=> ( v3 @ SY1324 ) ) )
| ! [SY1355: mworld] :
( ( mrel @ mactual @ SY1355 )
=> ! [SY1334: mworld] :
( ( mrel @ SY1355 @ SY1334 )
=> ~ ( v2 @ SY1334 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(89,plain,
( ( ( v2 @ mactual )
| ! [SY1400: mworld] :
( ( mrel @ mactual @ SY1400 )
=> ( v4 @ SY1400 ) )
| ! [SY1401: mworld] :
( ( mrel @ mactual @ SY1401 )
=> ! [SY1373: mworld] :
( ( mrel @ SY1401 @ SY1373 )
=> ( v2 @ SY1373 ) ) )
| ! [SY1403: mworld] :
( ( mrel @ mactual @ SY1403 )
=> ! [SY1382: mworld] :
( ( mrel @ SY1403 @ SY1382 )
=> ( v3 @ SY1382 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(90,plain,
( ( ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY1439: mworld] :
( ( mrel @ mactual @ SY1439 )
=> ~ ( v1 @ SY1439 ) )
| ! [SY1440: mworld] :
( ( mrel @ mactual @ SY1440 )
=> ! [SY1426: mworld] :
( ( mrel @ SY1440 @ SY1426 )
=> ~ ( v1 @ SY1426 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(91,plain,
( ( ( v2 @ mactual )
| ~ ( v1 @ mactual )
| ! [SY1480: mworld] :
( ( mrel @ mactual @ SY1480 )
=> ! [SY1454: mworld] :
( ( mrel @ SY1480 @ SY1454 )
=> ( v4 @ SY1454 ) ) )
| ! [SY1482: mworld] :
( ( mrel @ mactual @ SY1482 )
=> ! [SY1464: mworld] :
( ( mrel @ SY1482 @ SY1464 )
=> ~ ( v3 @ SY1464 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(92,plain,
( ( ( v2 @ mactual )
| ( v4 @ mactual )
| ! [SY1515: mworld] :
( ( mrel @ mactual @ SY1515 )
=> ~ ( v2 @ SY1515 ) )
| ! [SY1516: mworld] :
( ( mrel @ mactual @ SY1516 )
=> ! [SY1502: mworld] :
( ( mrel @ SY1516 @ SY1502 )
=> ( v2 @ SY1502 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(93,plain,
( ( ( v2 @ mactual )
| ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY1543: mworld] :
( ( mrel @ mactual @ SY1543 )
=> ! [SY1533: mworld] :
( ( mrel @ SY1543 @ SY1533 )
=> ~ ( v4 @ SY1533 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(94,plain,
( ( ( v2 @ mactual )
| ( v3 @ mactual )
| ( v4 @ mactual )
| ! [SY1568: mworld] :
( ( mrel @ mactual @ SY1568 )
=> ! [SY1558: mworld] :
( ( mrel @ SY1568 @ SY1558 )
=> ~ ( v4 @ SY1558 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(95,plain,
( ( ( v1 @ mactual )
| ! [SY1611: mworld] :
( ( mrel @ mactual @ SY1611 )
=> ( v2 @ SY1611 ) )
| ! [SY1612: mworld] :
( ( mrel @ mactual @ SY1612 )
=> ! [SY1583: mworld] :
( ( mrel @ SY1612 @ SY1583 )
=> ( v4 @ SY1583 ) ) )
| ! [SY1614: mworld] :
( ( mrel @ mactual @ SY1614 )
=> ! [SY1593: mworld] :
( ( mrel @ SY1614 @ SY1593 )
=> ~ ( v2 @ SY1593 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(96,plain,
( ( ( v1 @ mactual )
| ! [SY1654: mworld] :
( ( mrel @ mactual @ SY1654 )
=> ( v1 @ SY1654 ) )
| ! [SY1655: mworld] :
( ( mrel @ mactual @ SY1655 )
=> ~ ( v1 @ SY1655 ) )
| ! [SY1656: mworld] :
( ( mrel @ mactual @ SY1656 )
=> ! [SY1639: mworld] :
( ( mrel @ SY1656 @ SY1639 )
=> ~ ( v1 @ SY1639 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(97,plain,
( ( ( v1 @ mactual )
| ~ ( v4 @ mactual )
| ! [SY1698: mworld] :
( ( mrel @ mactual @ SY1698 )
=> ! [SY1672: mworld] :
( ( mrel @ SY1698 @ SY1672 )
=> ~ ( v3 @ SY1672 ) ) )
| ! [SY1700: mworld] :
( ( mrel @ mactual @ SY1700 )
=> ! [SY1682: mworld] :
( ( mrel @ SY1700 @ SY1682 )
=> ~ ( v4 @ SY1682 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(98,plain,
( ( ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY1735: mworld] :
( ( mrel @ mactual @ SY1735 )
=> ~ ( v1 @ SY1735 ) )
| ! [SY1736: mworld] :
( ( mrel @ mactual @ SY1736 )
=> ! [SY1722: mworld] :
( ( mrel @ SY1736 @ SY1722 )
=> ~ ( v1 @ SY1722 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(99,plain,
( ( ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY1769: mworld] :
( ( mrel @ mactual @ SY1769 )
=> ( v4 @ SY1769 ) )
| ! [SY1770: mworld] :
( ( mrel @ mactual @ SY1770 )
=> ! [SY1756: mworld] :
( ( mrel @ SY1770 @ SY1756 )
=> ~ ( v4 @ SY1756 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(100,plain,
( ( ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ! [SY1803: mworld] :
( ( mrel @ mactual @ SY1803 )
=> ~ ( v3 @ SY1803 ) )
| ! [SY1804: mworld] :
( ( mrel @ mactual @ SY1804 )
=> ! [SY1790: mworld] :
( ( mrel @ SY1804 @ SY1790 )
=> ( v3 @ SY1790 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(101,plain,
( ( ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ~ ( v4 @ mactual )
| ! [SY1832: mworld] :
( ( mrel @ mactual @ SY1832 )
=> ! [SY1822: mworld] :
( ( mrel @ SY1832 @ SY1822 )
=> ~ ( v2 @ SY1822 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(102,plain,
( ( ( v1 @ mactual )
| ( v4 @ mactual )
| ! [SY1864: mworld] :
( ( mrel @ mactual @ SY1864 )
=> ~ ( v1 @ SY1864 ) )
| ! [SY1865: mworld] :
( ( mrel @ mactual @ SY1865 )
=> ! [SY1851: mworld] :
( ( mrel @ SY1865 @ SY1851 )
=> ~ ( v1 @ SY1851 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(103,plain,
( ( ( v1 @ mactual )
| ( v3 @ mactual )
| ! [SY1903: mworld] :
( ( mrel @ mactual @ SY1903 )
=> ! [SY1878: mworld] :
( ( mrel @ SY1903 @ SY1878 )
=> ( v3 @ SY1878 ) ) )
| ! [SY1905: mworld] :
( ( mrel @ mactual @ SY1905 )
=> ! [SY1887: mworld] :
( ( mrel @ SY1905 @ SY1887 )
=> ( v4 @ SY1887 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(104,plain,
( ( ( v1 @ mactual )
| ( v2 @ mactual )
| ! [SY1938: mworld] :
( ( mrel @ mactual @ SY1938 )
=> ~ ( v3 @ SY1938 ) )
| ! [SY1939: mworld] :
( ( mrel @ mactual @ SY1939 )
=> ! [SY1925: mworld] :
( ( mrel @ SY1939 @ SY1925 )
=> ( v1 @ SY1925 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(105,plain,
( ( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY1966: mworld] :
( ( mrel @ mactual @ SY1966 )
=> ! [SY1956: mworld] :
( ( mrel @ SY1966 @ SY1956 )
=> ~ ( v4 @ SY1956 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(106,plain,
( ( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY1992: mworld] :
( ( mrel @ mactual @ SY1992 )
=> ! [SY1982: mworld] :
( ( mrel @ SY1992 @ SY1982 )
=> ~ ( v3 @ SY1982 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(107,plain,
( ( ( v1 @ mactual )
| ( v2 @ mactual )
| ( v3 @ mactual )
| ! [SY2017: mworld] :
( ( mrel @ mactual @ SY2017 )
=> ! [SY2007: mworld] :
( ( mrel @ SY2017 @ SY2007 )
=> ~ ( v1 @ SY2007 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(108,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ V )
& ( mrel @ V @ U ) )
=> ( mrel @ W @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(109,plain,
( ( ! [W: mworld] : ( mrel @ W @ W ) )
= $true ),
inference(unfold_def,[status(thm)],[53,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(110,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[56]) ).
thf(111,plain,
( ( ! [W: mworld] : ( mrel @ W @ W ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(112,plain,
( ( ! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ V )
& ( mrel @ V @ U ) )
=> ( mrel @ W @ U ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(113,plain,
( ( ( v1 @ mactual )
| ( v2 @ mactual )
| ( v3 @ mactual )
| ! [SY2017: mworld] :
( ( mrel @ mactual @ SY2017 )
=> ! [SY2007: mworld] :
( ( mrel @ SY2017 @ SY2007 )
=> ~ ( v1 @ SY2007 ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(114,plain,
( ( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY1992: mworld] :
( ( mrel @ mactual @ SY1992 )
=> ! [SY1982: mworld] :
( ( mrel @ SY1992 @ SY1982 )
=> ~ ( v3 @ SY1982 ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(115,plain,
( ( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY1966: mworld] :
( ( mrel @ mactual @ SY1966 )
=> ! [SY1956: mworld] :
( ( mrel @ SY1966 @ SY1956 )
=> ~ ( v4 @ SY1956 ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(116,plain,
( ( ( v1 @ mactual )
| ( v2 @ mactual )
| ! [SY1938: mworld] :
( ( mrel @ mactual @ SY1938 )
=> ~ ( v3 @ SY1938 ) )
| ! [SY1939: mworld] :
( ( mrel @ mactual @ SY1939 )
=> ! [SY1925: mworld] :
( ( mrel @ SY1939 @ SY1925 )
=> ( v1 @ SY1925 ) ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(117,plain,
( ( ( v1 @ mactual )
| ( v3 @ mactual )
| ! [SY1903: mworld] :
( ( mrel @ mactual @ SY1903 )
=> ! [SY1878: mworld] :
( ( mrel @ SY1903 @ SY1878 )
=> ( v3 @ SY1878 ) ) )
| ! [SY1905: mworld] :
( ( mrel @ mactual @ SY1905 )
=> ! [SY1887: mworld] :
( ( mrel @ SY1905 @ SY1887 )
=> ( v4 @ SY1887 ) ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(118,plain,
( ( ( v1 @ mactual )
| ( v4 @ mactual )
| ! [SY1864: mworld] :
( ( mrel @ mactual @ SY1864 )
=> ~ ( v1 @ SY1864 ) )
| ! [SY1865: mworld] :
( ( mrel @ mactual @ SY1865 )
=> ! [SY1851: mworld] :
( ( mrel @ SY1865 @ SY1851 )
=> ~ ( v1 @ SY1851 ) ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(119,plain,
( ( ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ~ ( v4 @ mactual )
| ! [SY1832: mworld] :
( ( mrel @ mactual @ SY1832 )
=> ! [SY1822: mworld] :
( ( mrel @ SY1832 @ SY1822 )
=> ~ ( v2 @ SY1822 ) ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(120,plain,
( ( ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ! [SY1803: mworld] :
( ( mrel @ mactual @ SY1803 )
=> ~ ( v3 @ SY1803 ) )
| ! [SY1804: mworld] :
( ( mrel @ mactual @ SY1804 )
=> ! [SY1790: mworld] :
( ( mrel @ SY1804 @ SY1790 )
=> ( v3 @ SY1790 ) ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(121,plain,
( ( ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY1769: mworld] :
( ( mrel @ mactual @ SY1769 )
=> ( v4 @ SY1769 ) )
| ! [SY1770: mworld] :
( ( mrel @ mactual @ SY1770 )
=> ! [SY1756: mworld] :
( ( mrel @ SY1770 @ SY1756 )
=> ~ ( v4 @ SY1756 ) ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(122,plain,
( ( ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY1735: mworld] :
( ( mrel @ mactual @ SY1735 )
=> ~ ( v1 @ SY1735 ) )
| ! [SY1736: mworld] :
( ( mrel @ mactual @ SY1736 )
=> ! [SY1722: mworld] :
( ( mrel @ SY1736 @ SY1722 )
=> ~ ( v1 @ SY1722 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(123,plain,
( ( ( v1 @ mactual )
| ~ ( v4 @ mactual )
| ! [SY1698: mworld] :
( ( mrel @ mactual @ SY1698 )
=> ! [SY1672: mworld] :
( ( mrel @ SY1698 @ SY1672 )
=> ~ ( v3 @ SY1672 ) ) )
| ! [SY1700: mworld] :
( ( mrel @ mactual @ SY1700 )
=> ! [SY1682: mworld] :
( ( mrel @ SY1700 @ SY1682 )
=> ~ ( v4 @ SY1682 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(124,plain,
( ( ( v1 @ mactual )
| ! [SY1654: mworld] :
( ( mrel @ mactual @ SY1654 )
=> ( v1 @ SY1654 ) )
| ! [SY1655: mworld] :
( ( mrel @ mactual @ SY1655 )
=> ~ ( v1 @ SY1655 ) )
| ! [SY1656: mworld] :
( ( mrel @ mactual @ SY1656 )
=> ! [SY1639: mworld] :
( ( mrel @ SY1656 @ SY1639 )
=> ~ ( v1 @ SY1639 ) ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(125,plain,
( ( ( v1 @ mactual )
| ! [SY1611: mworld] :
( ( mrel @ mactual @ SY1611 )
=> ( v2 @ SY1611 ) )
| ! [SY1612: mworld] :
( ( mrel @ mactual @ SY1612 )
=> ! [SY1583: mworld] :
( ( mrel @ SY1612 @ SY1583 )
=> ( v4 @ SY1583 ) ) )
| ! [SY1614: mworld] :
( ( mrel @ mactual @ SY1614 )
=> ! [SY1593: mworld] :
( ( mrel @ SY1614 @ SY1593 )
=> ~ ( v2 @ SY1593 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(126,plain,
( ( ( v2 @ mactual )
| ( v3 @ mactual )
| ( v4 @ mactual )
| ! [SY1568: mworld] :
( ( mrel @ mactual @ SY1568 )
=> ! [SY1558: mworld] :
( ( mrel @ SY1568 @ SY1558 )
=> ~ ( v4 @ SY1558 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(127,plain,
( ( ( v2 @ mactual )
| ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY1543: mworld] :
( ( mrel @ mactual @ SY1543 )
=> ! [SY1533: mworld] :
( ( mrel @ SY1543 @ SY1533 )
=> ~ ( v4 @ SY1533 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(128,plain,
( ( ( v2 @ mactual )
| ( v4 @ mactual )
| ! [SY1515: mworld] :
( ( mrel @ mactual @ SY1515 )
=> ~ ( v2 @ SY1515 ) )
| ! [SY1516: mworld] :
( ( mrel @ mactual @ SY1516 )
=> ! [SY1502: mworld] :
( ( mrel @ SY1516 @ SY1502 )
=> ( v2 @ SY1502 ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(129,plain,
( ( ( v2 @ mactual )
| ~ ( v1 @ mactual )
| ! [SY1480: mworld] :
( ( mrel @ mactual @ SY1480 )
=> ! [SY1454: mworld] :
( ( mrel @ SY1480 @ SY1454 )
=> ( v4 @ SY1454 ) ) )
| ! [SY1482: mworld] :
( ( mrel @ mactual @ SY1482 )
=> ! [SY1464: mworld] :
( ( mrel @ SY1482 @ SY1464 )
=> ~ ( v3 @ SY1464 ) ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(130,plain,
( ( ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY1439: mworld] :
( ( mrel @ mactual @ SY1439 )
=> ~ ( v1 @ SY1439 ) )
| ! [SY1440: mworld] :
( ( mrel @ mactual @ SY1440 )
=> ! [SY1426: mworld] :
( ( mrel @ SY1440 @ SY1426 )
=> ~ ( v1 @ SY1426 ) ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(131,plain,
( ( ( v2 @ mactual )
| ! [SY1400: mworld] :
( ( mrel @ mactual @ SY1400 )
=> ( v4 @ SY1400 ) )
| ! [SY1401: mworld] :
( ( mrel @ mactual @ SY1401 )
=> ! [SY1373: mworld] :
( ( mrel @ SY1401 @ SY1373 )
=> ( v2 @ SY1373 ) ) )
| ! [SY1403: mworld] :
( ( mrel @ mactual @ SY1403 )
=> ! [SY1382: mworld] :
( ( mrel @ SY1403 @ SY1382 )
=> ( v3 @ SY1382 ) ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(132,plain,
( ( ( v2 @ mactual )
| ! [SY1352: mworld] :
( ( mrel @ mactual @ SY1352 )
=> ~ ( v1 @ SY1352 ) )
| ! [SY1353: mworld] :
( ( mrel @ mactual @ SY1353 )
=> ! [SY1324: mworld] :
( ( mrel @ SY1353 @ SY1324 )
=> ( v3 @ SY1324 ) ) )
| ! [SY1355: mworld] :
( ( mrel @ mactual @ SY1355 )
=> ! [SY1334: mworld] :
( ( mrel @ SY1355 @ SY1334 )
=> ~ ( v2 @ SY1334 ) ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(133,plain,
( ( ( v2 @ mactual )
| ! [SY1300: mworld] :
( ( mrel @ mactual @ SY1300 )
=> ! [SY1260: mworld] :
( ( mrel @ SY1300 @ SY1260 )
=> ( v3 @ SY1260 ) ) )
| ! [SY1302: mworld] :
( ( mrel @ mactual @ SY1302 )
=> ! [SY1270: mworld] :
( ( mrel @ SY1302 @ SY1270 )
=> ~ ( v3 @ SY1270 ) ) )
| ! [SY1304: mworld] :
( ( mrel @ mactual @ SY1304 )
=> ! [SY1280: mworld] :
( ( mrel @ SY1304 @ SY1280 )
=> ~ ( v4 @ SY1280 ) ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(134,plain,
( ( ( v3 @ mactual )
| ( v4 @ mactual )
| ! [SY1248: mworld] :
( ( mrel @ mactual @ SY1248 )
=> ( v2 @ SY1248 ) )
| ! [SY1249: mworld] :
( ( mrel @ mactual @ SY1249 )
=> ! [SY1235: mworld] :
( ( mrel @ SY1249 @ SY1235 )
=> ( v1 @ SY1235 ) ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(135,plain,
( ( ( v3 @ mactual )
| ( v4 @ mactual )
| ! [SY1214: mworld] :
( ( mrel @ mactual @ SY1214 )
=> ! [SY1188: mworld] :
( ( mrel @ SY1214 @ SY1188 )
=> ( v1 @ SY1188 ) ) )
| ! [SY1216: mworld] :
( ( mrel @ mactual @ SY1216 )
=> ! [SY1198: mworld] :
( ( mrel @ SY1216 @ SY1198 )
=> ~ ( v4 @ SY1198 ) ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(136,plain,
( ( ( v3 @ mactual )
| ( v4 @ mactual )
| ! [SY1172: mworld] :
( ( mrel @ mactual @ SY1172 )
=> ! [SY1147: mworld] :
( ( mrel @ SY1172 @ SY1147 )
=> ( v2 @ SY1147 ) ) )
| ! [SY1174: mworld] :
( ( mrel @ mactual @ SY1174 )
=> ! [SY1156: mworld] :
( ( mrel @ SY1174 @ SY1156 )
=> ( v4 @ SY1156 ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(137,plain,
( ( ( v3 @ mactual )
| ~ ( v1 @ mactual )
| ! [SY1131: mworld] :
( ( mrel @ mactual @ SY1131 )
=> ! [SY1106: mworld] :
( ( mrel @ SY1131 @ SY1106 )
=> ( v1 @ SY1106 ) ) )
| ! [SY1133: mworld] :
( ( mrel @ mactual @ SY1133 )
=> ! [SY1115: mworld] :
( ( mrel @ SY1133 @ SY1115 )
=> ( v2 @ SY1115 ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(138,plain,
( ( ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ! [SY1089: mworld] :
( ( mrel @ mactual @ SY1089 )
=> ! [SY1063: mworld] :
( ( mrel @ SY1089 @ SY1063 )
=> ( v3 @ SY1063 ) ) )
| ! [SY1091: mworld] :
( ( mrel @ mactual @ SY1091 )
=> ! [SY1073: mworld] :
( ( mrel @ SY1091 @ SY1073 )
=> ~ ( v4 @ SY1073 ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(139,plain,
( ( ( v3 @ mactual )
| ! [SY1046: mworld] :
( ( mrel @ mactual @ SY1046 )
=> ( v1 @ SY1046 ) )
| ! [SY1047: mworld] :
( ( mrel @ mactual @ SY1047 )
=> ~ ( v1 @ SY1047 ) )
| ! [SY1048: mworld] :
( ( mrel @ mactual @ SY1048 )
=> ! [SY1031: mworld] :
( ( mrel @ SY1048 @ SY1031 )
=> ( v4 @ SY1031 ) ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(140,plain,
( ( ( v4 @ mactual )
| ~ ( v1 @ mactual )
| ! [SY1008: mworld] :
( ( mrel @ mactual @ SY1008 )
=> ( v1 @ SY1008 ) )
| ! [SY1009: mworld] :
( ( mrel @ mactual @ SY1009 )
=> ! [SY995: mworld] :
( ( mrel @ SY1009 @ SY995 )
=> ~ ( v2 @ SY995 ) ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(141,plain,
( ( ( v4 @ mactual )
| ~ ( v1 @ mactual )
| ! [SY974: mworld] :
( ( mrel @ mactual @ SY974 )
=> ~ ( v1 @ SY974 ) )
| ! [SY975: mworld] :
( ( mrel @ mactual @ SY975 )
=> ! [SY961: mworld] :
( ( mrel @ SY975 @ SY961 )
=> ( v3 @ SY961 ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(142,plain,
( ( ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY940: mworld] :
( ( mrel @ mactual @ SY940 )
=> ( v1 @ SY940 ) )
| ! [SY941: mworld] :
( ( mrel @ mactual @ SY941 )
=> ! [SY927: mworld] :
( ( mrel @ SY941 @ SY927 )
=> ( v2 @ SY927 ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(143,plain,
( ( ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY905: mworld] :
( ( mrel @ mactual @ SY905 )
=> ! [SY880: mworld] :
( ( mrel @ SY905 @ SY880 )
=> ( v1 @ SY880 ) ) )
| ! [SY907: mworld] :
( ( mrel @ mactual @ SY907 )
=> ! [SY889: mworld] :
( ( mrel @ SY907 @ SY889 )
=> ( v4 @ SY889 ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(144,plain,
( ( ( v4 @ mactual )
| ! [SY861: mworld] :
( ( mrel @ mactual @ SY861 )
=> ~ ( v1 @ SY861 ) )
| ! [SY862: mworld] :
( ( mrel @ mactual @ SY862 )
=> ! [SY833: mworld] :
( ( mrel @ SY862 @ SY833 )
=> ( v4 @ SY833 ) ) )
| ! [SY864: mworld] :
( ( mrel @ mactual @ SY864 )
=> ! [SY843: mworld] :
( ( mrel @ SY864 @ SY843 )
=> ~ ( v1 @ SY843 ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(145,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ! [SY815: mworld] :
( ( mrel @ mactual @ SY815 )
=> ( v3 @ SY815 ) )
| ! [SY816: mworld] :
( ( mrel @ mactual @ SY816 )
=> ! [SY802: mworld] :
( ( mrel @ SY816 @ SY802 )
=> ~ ( v1 @ SY802 ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(146,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ! [SY780: mworld] :
( ( mrel @ mactual @ SY780 )
=> ~ ( v4 @ SY780 ) )
| ! [SY781: mworld] :
( ( mrel @ mactual @ SY781 )
=> ! [SY767: mworld] :
( ( mrel @ SY781 @ SY767 )
=> ~ ( v1 @ SY767 ) ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(147,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY744: mworld] :
( ( mrel @ mactual @ SY744 )
=> ~ ( v3 @ SY744 ) )
| ! [SY745: mworld] :
( ( mrel @ mactual @ SY745 )
=> ! [SY731: mworld] :
( ( mrel @ SY745 @ SY731 )
=> ( v4 @ SY731 ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(148,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY707: mworld] :
( ( mrel @ mactual @ SY707 )
=> ! [SY681: mworld] :
( ( mrel @ SY707 @ SY681 )
=> ~ ( v1 @ SY681 ) ) )
| ! [SY709: mworld] :
( ( mrel @ mactual @ SY709 )
=> ! [SY691: mworld] :
( ( mrel @ SY709 @ SY691 )
=> ~ ( v3 @ SY691 ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(149,plain,
( ( ~ ( v1 @ mactual )
| ! [SY660: mworld] :
( ( mrel @ mactual @ SY660 )
=> ~ ( v1 @ SY660 ) )
| ! [SY661: mworld] :
( ( mrel @ mactual @ SY661 )
=> ! [SY633: mworld] :
( ( mrel @ SY661 @ SY633 )
=> ( v1 @ SY633 ) ) )
| ! [SY663: mworld] :
( ( mrel @ mactual @ SY663 )
=> ! [SY642: mworld] :
( ( mrel @ SY663 @ SY642 )
=> ( v4 @ SY642 ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(150,plain,
( ( ~ ( v1 @ mactual )
| ! [SY610: mworld] :
( ( mrel @ mactual @ SY610 )
=> ~ ( v4 @ SY610 ) )
| ! [SY611: mworld] :
( ( mrel @ mactual @ SY611 )
=> ! [SY582: mworld] :
( ( mrel @ SY611 @ SY582 )
=> ( v4 @ SY582 ) ) )
| ! [SY613: mworld] :
( ( mrel @ mactual @ SY613 )
=> ! [SY592: mworld] :
( ( mrel @ SY613 @ SY592 )
=> ~ ( v4 @ SY592 ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(151,plain,
( ( ~ ( v1 @ mactual )
| ! [SY557: mworld] :
( ( mrel @ mactual @ SY557 )
=> ! [SY518: mworld] :
( ( mrel @ SY557 @ SY518 )
=> ( v1 @ SY518 ) ) )
| ! [SY559: mworld] :
( ( mrel @ mactual @ SY559 )
=> ! [SY527: mworld] :
( ( mrel @ SY559 @ SY527 )
=> ( v4 @ SY527 ) ) )
| ! [SY561: mworld] :
( ( mrel @ mactual @ SY561 )
=> ! [SY537: mworld] :
( ( mrel @ SY561 @ SY537 )
=> ~ ( v3 @ SY537 ) ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(152,plain,
( ( ~ ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [SY503: mworld] :
( ( mrel @ mactual @ SY503 )
=> ! [SY478: mworld] :
( ( mrel @ SY503 @ SY478 )
=> ( v1 @ SY478 ) ) )
| ! [SY505: mworld] :
( ( mrel @ mactual @ SY505 )
=> ! [SY487: mworld] :
( ( mrel @ SY505 @ SY487 )
=> ( v4 @ SY487 ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(153,plain,
( ( ~ ( v2 @ mactual )
| ~ ( v4 @ mactual )
| ! [SY462: mworld] :
( ( mrel @ mactual @ SY462 )
=> ~ ( v2 @ SY462 ) )
| ! [SY463: mworld] :
( ( mrel @ mactual @ SY463 )
=> ! [SY449: mworld] :
( ( mrel @ SY463 @ SY449 )
=> ( v3 @ SY449 ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(154,plain,
( ( ~ ( v2 @ mactual )
| ! [SY423: mworld] :
( ( mrel @ mactual @ SY423 )
=> ( v4 @ SY423 ) )
| ! [SY424: mworld] :
( ( mrel @ mactual @ SY424 )
=> ! [SY395: mworld] :
( ( mrel @ SY424 @ SY395 )
=> ( v2 @ SY395 ) ) )
| ! [SY426: mworld] :
( ( mrel @ mactual @ SY426 )
=> ! [SY405: mworld] :
( ( mrel @ SY426 @ SY405 )
=> ~ ( v3 @ SY405 ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(155,plain,
( ( ~ ( v2 @ mactual )
| ! [SY371: mworld] :
( ( mrel @ mactual @ SY371 )
=> ! [SY332: mworld] :
( ( mrel @ SY371 @ SY332 )
=> ( v3 @ SY332 ) ) )
| ! [SY373: mworld] :
( ( mrel @ mactual @ SY373 )
=> ! [SY341: mworld] :
( ( mrel @ SY373 @ SY341 )
=> ( v4 @ SY341 ) ) )
| ! [SY375: mworld] :
( ( mrel @ mactual @ SY375 )
=> ! [SY351: mworld] :
( ( mrel @ SY375 @ SY351 )
=> ~ ( v1 @ SY351 ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(156,plain,
( ( ~ ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ! [SY319: mworld] :
( ( mrel @ mactual @ SY319 )
=> ~ ( v4 @ SY319 ) )
| ! [SY320: mworld] :
( ( mrel @ mactual @ SY320 )
=> ! [SY306: mworld] :
( ( mrel @ SY320 @ SY306 )
=> ( v4 @ SY306 ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(157,plain,
( ( ~ ( v3 @ mactual )
| ! [SY282: mworld] :
( ( mrel @ mactual @ SY282 )
=> ( v3 @ SY282 ) )
| ! [SY283: mworld] :
( ( mrel @ mactual @ SY283 )
=> ~ ( v4 @ SY283 ) )
| ! [SY284: mworld] :
( ( mrel @ mactual @ SY284 )
=> ! [SY267: mworld] :
( ( mrel @ SY284 @ SY267 )
=> ( v3 @ SY267 ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(158,plain,
( ( ~ ( v3 @ mactual )
| ! [SY239: mworld] :
( ( mrel @ mactual @ SY239 )
=> ~ ( v4 @ SY239 ) )
| ! [SY240: mworld] :
( ( mrel @ mactual @ SY240 )
=> ! [SY211: mworld] :
( ( mrel @ SY240 @ SY211 )
=> ~ ( v2 @ SY211 ) ) )
| ! [SY242: mworld] :
( ( mrel @ mactual @ SY242 )
=> ! [SY221: mworld] :
( ( mrel @ SY242 @ SY221 )
=> ~ ( v4 @ SY221 ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(159,plain,
( ( ~ ( v4 @ mactual )
| ! [SY187: mworld] :
( ( mrel @ mactual @ SY187 )
=> ( v1 @ SY187 ) )
| ! [SY188: mworld] :
( ( mrel @ mactual @ SY188 )
=> ! [SY160: mworld] :
( ( mrel @ SY188 @ SY160 )
=> ( v3 @ SY160 ) ) )
| ! [SY190: mworld] :
( ( mrel @ mactual @ SY190 )
=> ! [SY169: mworld] :
( ( mrel @ SY190 @ SY169 )
=> ( v4 @ SY169 ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(160,plain,
( ( ~ ( v4 @ mactual )
| ! [SY138: mworld] :
( ( mrel @ mactual @ SY138 )
=> ( v3 @ SY138 ) )
| ! [SY139: mworld] :
( ( mrel @ mactual @ SY139 )
=> ! [SY110: mworld] :
( ( mrel @ SY139 @ SY110 )
=> ( v2 @ SY110 ) ) )
| ! [SY141: mworld] :
( ( mrel @ mactual @ SY141 )
=> ! [SY120: mworld] :
( ( mrel @ SY141 @ SY120 )
=> ~ ( v4 @ SY120 ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(161,plain,
( ( ~ ( v4 @ mactual )
| ! [SY90: mworld] :
( ( mrel @ mactual @ SY90 )
=> ( v4 @ SY90 ) )
| ! [SY91: mworld] :
( ( mrel @ mactual @ SY91 )
=> ~ ( v1 @ SY91 ) )
| ! [SY92: mworld] :
( ( mrel @ mactual @ SY92 )
=> ! [SY75: mworld] :
( ( mrel @ SY92 @ SY75 )
=> ( v1 @ SY75 ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(162,plain,
( ( ~ ( v4 @ mactual )
| ! [SY47: mworld] :
( ( mrel @ mactual @ SY47 )
=> ~ ( v2 @ SY47 ) )
| ! [SY48: mworld] :
( ( mrel @ mactual @ SY48 )
=> ! [SY19: mworld] :
( ( mrel @ SY48 @ SY19 )
=> ( v4 @ SY19 ) ) )
| ! [SY50: mworld] :
( ( mrel @ mactual @ SY50 )
=> ! [SY29: mworld] :
( ( mrel @ SY50 @ SY29 )
=> ~ ( v4 @ SY29 ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(163,plain,
( ( ? [SY4: mworld] :
( ( mrel @ mactual @ SY4 )
& $true ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(164,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[110]) ).
thf(165,plain,
( ( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(166,plain,
( ( ~ ( v1 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(167,plain,
( ( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(168,plain,
( ( ~ ! [SX0: mworld] :
~ ~ ( ~ ( mrel @ mactual @ SX0 )
| ~ $true ) )
= $true ),
inference(unfold_def,[status(thm)],[163,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(169,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(170,plain,
( ( ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(171,plain,
( ( ( v1 @ mactual )
| ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(172,plain,
( ( ! [SX0: mworld,SX1: mworld,SX2: mworld] :
( ~ ~ ( ~ ( mrel @ SX0 @ SX1 )
| ~ ( mrel @ SX1 @ SX2 ) )
| ( mrel @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(173,plain,
( ( ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(174,plain,
( ( ( v1 @ mactual )
| ( v2 @ mactual )
| ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(175,plain,
( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(176,plain,
( ( ~ ( v1 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(177,plain,
( ( ~ ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(178,plain,
( ( ( v1 @ mactual )
| ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(179,plain,
( ( ~ ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(180,plain,
( ( ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(181,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(182,plain,
( ( ~ ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(183,plain,
( ( ( v3 @ mactual )
| ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(184,plain,
( ( ( v2 @ mactual )
| ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(185,plain,
( ( ( v1 @ mactual )
| ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(186,plain,
( ( ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(187,plain,
( ( ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(188,plain,
( ( ( v2 @ mactual )
| ~ ( v1 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(189,plain,
( ( ( v2 @ mactual )
| ( v3 @ mactual )
| ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(190,plain,
( ( ~ ( v2 @ mactual )
| ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(191,plain,
( ( ( v3 @ mactual )
| ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(192,plain,
( ( ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(193,plain,
( ( ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(194,plain,
( ( ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(195,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(196,plain,
( ( ( v2 @ mactual )
| ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(197,plain,
( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(198,plain,
( ( ( v3 @ mactual )
| ~ ( v1 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(199,plain,
( ( ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(200,plain,
( ( ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(201,plain,
( ( ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(202,plain,
( ( ~ ( v1 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(203,plain,
( ( ( v1 @ mactual )
| ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(204,plain,
( ( ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(205,plain,
( ( ( v1 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(206,plain,
( ( ( v3 @ mactual )
| ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(207,plain,
( ( ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(208,plain,
( ( ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(209,plain,
( ( ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(210,plain,
( ( ( v4 @ mactual )
| ~ ( v1 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(211,plain,
( ( ( v1 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(212,plain,
( ( ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(213,plain,
( ( ~ ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(214,plain,
( ( ( v4 @ mactual )
| ~ ( v1 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(215,plain,
( ( ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(216,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor]) ).
thf(217,plain,
! [SV1: mworld] :
( ( mrel @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(218,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(219,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(220,plain,
( ( ( ~ ( v1 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(221,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(222,plain,
( ( ! [SX0: mworld] :
~ ~ ( ~ ( mrel @ mactual @ SX0 )
| ~ $true ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(223,plain,
( ( ( ~ ( v1 @ mactual ) )
= $true )
| ( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(224,plain,
( ( ( v3 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(225,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(226,plain,
! [SV2: mworld] :
( ( ! [SY2025: mworld,SY2026: mworld] :
( ~ ~ ( ~ ( mrel @ SV2 @ SY2025 )
| ~ ( mrel @ SY2025 @ SY2026 ) )
| ( mrel @ SV2 @ SY2026 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(227,plain,
( ( ( v3 @ mactual )
= $true )
| ( ( ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(228,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( ( v2 @ mactual )
| ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(229,plain,
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(230,plain,
( ( ( ~ ( v1 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(231,plain,
( ( ( ~ ( v2 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(232,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(233,plain,
( ( ( ~ ( v2 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(234,plain,
( ( ( v2 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(235,plain,
( ( ( ~ ( v1 @ mactual ) )
= $true )
| ( ( ~ ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(236,plain,
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(237,plain,
( ( ( v3 @ mactual )
= $true )
| ( ( ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(238,plain,
( ( ( v2 @ mactual )
= $true )
| ( ( ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(239,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(240,plain,
( ( ( v2 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(241,plain,
( ( ( v2 @ mactual )
= $true )
| ( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(242,plain,
( ( ( v2 @ mactual )
= $true )
| ( ( ~ ( v1 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(243,plain,
( ( ( v2 @ mactual )
= $true )
| ( ( ( v3 @ mactual )
| ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(244,plain,
( ( ( ~ ( v2 @ mactual ) )
= $true )
| ( ( ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(245,plain,
( ( ( v3 @ mactual )
= $true )
| ( ( ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(246,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( ~ ( v2 @ mactual )
| ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(247,plain,
( ( ( ~ ( v4 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(248,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( ~ ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(249,plain,
( ( ( ~ ( v1 @ mactual ) )
= $true )
| ( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(250,plain,
( ( ( v2 @ mactual )
= $true )
| ( ( ( v4 @ mactual )
| ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(251,plain,
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(252,plain,
( ( ( v3 @ mactual )
= $true )
| ( ( ~ ( v1 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(253,plain,
( ( ( v4 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(254,plain,
( ( ( v4 @ mactual )
= $true )
| ( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(255,plain,
( ( ( ~ ( v4 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(256,plain,
( ( ( ~ ( v1 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(257,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(258,plain,
( ( ( v4 @ mactual )
= $true )
| ( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(259,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(260,plain,
( ( ( v3 @ mactual )
= $true )
| ( ( ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(261,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(262,plain,
( ( ( v2 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(263,plain,
( ( ( ~ ( v4 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(264,plain,
( ( ( v4 @ mactual )
= $true )
| ( ( ~ ( v1 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(265,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(266,plain,
( ( ( ~ ( v4 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(267,plain,
( ( ( ~ ( v2 @ mactual ) )
= $true )
| ( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(268,plain,
( ( ( v4 @ mactual )
= $true )
| ( ( ~ ( v1 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(269,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(270,plain,
( ( ( ~ ( v1 @ mactual ) )
= $true )
| ( ( ~ ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(271,plain,
( ( ( v2 @ mactual )
= $true )
| ( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(272,plain,
( ( ( v1 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(273,plain,
( ( ( v2 @ mactual )
= $true )
| ( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(274,plain,
( ( ~ ~ ( ~ ( mrel @ mactual @ sK1_SX0 )
| ~ $true ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[222]) ).
thf(275,plain,
( ( ( v1 @ mactual )
= $false )
| ( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(276,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(277,plain,
( ( ( ~ ( v4 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(278,plain,
! [SV3: mworld,SV2: mworld] :
( ( ! [SY2027: mworld] :
( ~ ~ ( ~ ( mrel @ SV2 @ SV3 )
| ~ ( mrel @ SV3 @ SY2027 ) )
| ( mrel @ SV2 @ SY2027 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(279,plain,
( ( ( ~ ( v4 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(280,plain,
( ( ( v2 @ mactual )
= $true )
| ( ( ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(281,plain,
( ( ( v3 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(282,plain,
( ( ( v1 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(283,plain,
( ( ( v2 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(284,plain,
( ( ( v2 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(285,plain,
( ( ( v2 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(286,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(287,plain,
( ( ( v1 @ mactual )
= $false )
| ( ( ~ ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(288,plain,
( ( ( v3 @ mactual )
= $false )
| ( ( ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(289,plain,
( ( ( v4 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(290,plain,
( ( ( v4 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(291,plain,
( ( ( v4 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(292,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(293,plain,
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(294,plain,
( ( ( ~ ( v1 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(295,plain,
( ( ( v3 @ mactual )
= $true )
| ( ( ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(296,plain,
( ( ( v2 @ mactual )
= $false )
| ( ( ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(297,plain,
( ( ( v4 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(298,plain,
( ( ( ~ ( v2 @ mactual ) )
= $true )
| ( ( ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(299,plain,
( ( ( v4 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(300,plain,
( ( ( ~ ( v2 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(301,plain,
( ( ( v1 @ mactual )
= $false )
| ( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(302,plain,
( ( ( v4 @ mactual )
= $true )
| ( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(303,plain,
( ( ( v3 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(304,plain,
( ( ( ~ ( v1 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(305,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(306,plain,
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(307,plain,
( ( ( v4 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(308,plain,
( ( ( v1 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(309,plain,
( ( ( v3 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(310,plain,
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(311,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v2 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(312,plain,
( ( ( v4 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(313,plain,
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(314,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(315,plain,
( ( ( v4 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(316,plain,
( ( ( ~ ( v1 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(317,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(318,plain,
( ( ( v4 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(319,plain,
( ( ( v2 @ mactual )
= $false )
| ( ( ~ ( v3 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(320,plain,
( ( ( ~ ( v1 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(321,plain,
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(322,plain,
( ( ( v1 @ mactual )
= $false )
| ( ( ~ ( v2 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(323,plain,
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(324,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(325,plain,
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(326,plain,
( ( ~ ( ~ ( mrel @ mactual @ sK1_SX0 )
| ~ $true ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(327,plain,
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(328,plain,
! [SV4: mworld] :
( ( ( ~ ( mrel @ mactual @ SV4 )
| ( v1 @ SV4 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(329,plain,
( ( ( v4 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(330,plain,
! [SV5: mworld,SV3: mworld,SV2: mworld] :
( ( ~ ~ ( ~ ( mrel @ SV2 @ SV3 )
| ~ ( mrel @ SV3 @ SV5 ) )
| ( mrel @ SV2 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(331,plain,
( ( ( v4 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(332,plain,
( ( ( v3 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(333,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(334,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(335,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(336,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(337,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(338,plain,
! [SV6: mworld] :
( ( ( ~ ( mrel @ mactual @ SV6 )
| ~ ( v1 @ SV6 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(339,plain,
( ( ( ~ ( v2 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(340,plain,
( ( ( ~ ( v4 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(341,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v2 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(342,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v2 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(343,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(344,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ SV7 )
| ! [SY2028: mworld] :
( ~ ( mrel @ SV7 @ SY2028 )
| ( v3 @ SY2028 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(345,plain,
( ( ( v3 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(346,plain,
( ( ( v1 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(347,plain,
( ( ( v4 @ mactual )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(348,plain,
( ( ( ~ ( v4 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(349,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(350,plain,
( ( ( v2 @ mactual )
= $false )
| ( ( ~ ( v4 @ mactual )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(351,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v2 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(352,plain,
( ( ( v2 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(353,plain,
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(354,plain,
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(355,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v3 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(356,plain,
( ( ( v1 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(357,plain,
! [SV8: mworld] :
( ( ( ~ ( mrel @ mactual @ SV8 )
| ~ ( v1 @ SV8 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(358,plain,
( ( ( v3 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(359,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(360,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(361,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(362,plain,
( ( ( v3 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(363,plain,
! [SV9: mworld] :
( ( ( ~ ( mrel @ mactual @ SV9 )
| ( v2 @ SV9 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(364,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(365,plain,
( ( ( v3 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(366,plain,
! [SV10: mworld] :
( ( ( ~ ( mrel @ mactual @ SV10 )
| ( v4 @ SV10 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(367,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(368,plain,
( ( ( v1 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(369,plain,
! [SV11: mworld] :
( ( ( ~ ( mrel @ mactual @ SV11 )
| ( v1 @ SV11 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(370,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v3 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(371,plain,
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(372,plain,
( ( ( v1 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(373,plain,
( ( ( v3 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(374,plain,
( ( ( ~ ( v2 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(375,plain,
( ( ( v3 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(376,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ mactual @ SV12 )
| ~ ( v1 @ SV12 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(377,plain,
( ( ( v3 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(378,plain,
( ( ~ ( mrel @ mactual @ sK1_SX0 )
| ~ $true )
= $false ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(379,plain,
( ( ( v3 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(380,plain,
! [SV4: mworld] :
( ( ( ~ ( mrel @ mactual @ SV4 ) )
= $true )
| ( ( v1 @ SV4 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(381,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(382,plain,
! [SV5: mworld,SV3: mworld,SV2: mworld] :
( ( ( ~ ~ ( ~ ( mrel @ SV2 @ SV3 )
| ~ ( mrel @ SV3 @ SV5 ) ) )
= $true )
| ( ( mrel @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(383,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(384,plain,
! [SV13: mworld] :
( ( ( ~ ( mrel @ mactual @ SV13 )
| ! [SY2029: mworld] :
( ~ ( mrel @ SV13 @ SY2029 )
| ~ ( v1 @ SY2029 ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(385,plain,
! [SV14: mworld] :
( ( ( ~ ( mrel @ mactual @ SV14 )
| ~ ( v4 @ SV14 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(386,plain,
! [SV15: mworld] :
( ( ( ~ ( mrel @ mactual @ SV15 )
| ! [SY2030: mworld] :
( ~ ( mrel @ SV15 @ SY2030 )
| ( v1 @ SY2030 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(387,plain,
! [SV16: mworld] :
( ( ( ~ ( mrel @ mactual @ SV16 )
| ( v4 @ SV16 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(388,plain,
! [SV17: mworld] :
( ( ( ~ ( mrel @ mactual @ SV17 )
| ~ ( v3 @ SV17 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(389,plain,
! [SV18: mworld] :
( ( ( ~ ( mrel @ mactual @ SV18 )
| ! [SY2031: mworld] :
( ~ ( mrel @ SV18 @ SY2031 )
| ( v3 @ SY2031 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(390,plain,
! [SV6: mworld] :
( ( ( ~ ( mrel @ mactual @ SV6 ) )
= $true )
| ( ( ~ ( v1 @ SV6 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(391,plain,
( ( ( v2 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(392,plain,
( ( ( v4 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(393,plain,
! [SV19: mworld] :
( ( ( ~ ( mrel @ mactual @ SV19 )
| ( v2 @ SV19 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(394,plain,
! [SV20: mworld] :
( ( ( ~ ( mrel @ mactual @ SV20 )
| ~ ( v2 @ SV20 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(395,plain,
! [SV21: mworld] :
( ( ( ~ ( mrel @ mactual @ SV21 )
| ~ ( v1 @ SV21 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(396,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ SV7 ) )
= $true )
| ( ( ! [SY2028: mworld] :
( ~ ( mrel @ SV7 @ SY2028 )
| ( v3 @ SY2028 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(397,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(398,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(399,plain,
! [SV22: mworld] :
( ( ( ~ ( mrel @ mactual @ SV22 )
| ! [SY2032: mworld] :
( ~ ( mrel @ SV22 @ SY2032 )
| ~ ( v4 @ SY2032 ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(400,plain,
( ( ( v4 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v2 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(401,plain,
! [SV23: mworld] :
( ( ( ~ ( mrel @ mactual @ SV23 )
| ! [SY2033: mworld] :
( ~ ( mrel @ SV23 @ SY2033 )
| ( v2 @ SY2033 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(402,plain,
( ( ( ~ ( v4 @ mactual ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(403,plain,
! [SV24: mworld] :
( ( ( ~ ( mrel @ mactual @ SV24 )
| ~ ( v2 @ SV24 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(404,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(405,plain,
( ( ( v3 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(406,plain,
( ( ( v3 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(407,plain,
! [SV25: mworld] :
( ( ( ~ ( mrel @ mactual @ SV25 )
| ( v3 @ SV25 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(408,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(409,plain,
! [SV8: mworld] :
( ( ( ~ ( mrel @ mactual @ SV8 ) )
= $true )
| ( ( ~ ( v1 @ SV8 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(410,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(411,plain,
! [SV26: mworld] :
( ( ( ~ ( mrel @ mactual @ SV26 )
| ( v4 @ SV26 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(412,plain,
! [SV27: mworld] :
( ( ( ~ ( mrel @ mactual @ SV27 )
| ~ ( v4 @ SV27 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(413,plain,
! [SV28: mworld] :
( ( ( ~ ( mrel @ mactual @ SV28 )
| ! [SY2034: mworld] :
( ~ ( mrel @ SV28 @ SY2034 )
| ( v3 @ SY2034 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(414,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(415,plain,
! [SV9: mworld] :
( ( ( ~ ( mrel @ mactual @ SV9 ) )
= $true )
| ( ( v2 @ SV9 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(416,plain,
! [SV29: mworld] :
( ( ( ~ ( mrel @ mactual @ SV29 )
| ! [SY2035: mworld] :
( ~ ( mrel @ SV29 @ SY2035 )
| ( v1 @ SY2035 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(417,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(418,plain,
! [SV10: mworld] :
( ( ( ~ ( mrel @ mactual @ SV10 ) )
= $true )
| ( ( v4 @ SV10 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(419,plain,
! [SV30: mworld] :
( ( ( ~ ( mrel @ mactual @ SV30 )
| ( v1 @ SV30 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(420,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(421,plain,
! [SV11: mworld] :
( ( ( ~ ( mrel @ mactual @ SV11 ) )
= $true )
| ( ( v1 @ SV11 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(422,plain,
! [SV31: mworld] :
( ( ( ~ ( mrel @ mactual @ SV31 )
| ( v3 @ SV31 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(423,plain,
( ( ( v3 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(424,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(425,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v4 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(426,plain,
( ( ( v2 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v3 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(427,plain,
! [SV32: mworld] :
( ( ( ~ ( mrel @ mactual @ SV32 )
| ! [SY2036: mworld] :
( ~ ( mrel @ SV32 @ SY2036 )
| ~ ( v4 @ SY2036 ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(428,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ mactual @ SV12 ) )
= $true )
| ( ( ~ ( v1 @ SV12 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(429,plain,
! [SV33: mworld] :
( ( ( ~ ( mrel @ mactual @ SV33 )
| ! [SY2037: mworld] :
( ~ ( mrel @ SV33 @ SY2037 )
| ~ ( v3 @ SY2037 ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(430,plain,
( ( ~ ( mrel @ mactual @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(431,plain,
( ( ~ $true ) = $false ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(432,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v3 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(433,plain,
! [SV4: mworld] :
( ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( v1 @ SV4 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(434,plain,
! [SV34: mworld] :
( ( ( ~ ( mrel @ mactual @ SV34 )
| ! [SY2038: mworld] :
( ~ ( mrel @ SV34 @ SY2038 )
| ~ ( v3 @ SY2038 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(435,plain,
! [SV5: mworld,SV3: mworld,SV2: mworld] :
( ( ( ~ ( ~ ( mrel @ SV2 @ SV3 )
| ~ ( mrel @ SV3 @ SV5 ) ) )
= $false )
| ( ( mrel @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(436,plain,
! [SV35: mworld] :
( ( ( ~ ( mrel @ mactual @ SV35 )
| ! [SY2039: mworld] :
( ~ ( mrel @ SV35 @ SY2039 )
| ( v3 @ SY2039 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(437,plain,
! [SV13: mworld] :
( ( ( ~ ( mrel @ mactual @ SV13 ) )
= $true )
| ( ( ! [SY2029: mworld] :
( ~ ( mrel @ SV13 @ SY2029 )
| ~ ( v1 @ SY2029 ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(438,plain,
! [SV14: mworld] :
( ( ( ~ ( mrel @ mactual @ SV14 ) )
= $true )
| ( ( ~ ( v4 @ SV14 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(439,plain,
! [SV15: mworld] :
( ( ( ~ ( mrel @ mactual @ SV15 ) )
= $true )
| ( ( ! [SY2030: mworld] :
( ~ ( mrel @ SV15 @ SY2030 )
| ( v1 @ SY2030 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(440,plain,
! [SV16: mworld] :
( ( ( ~ ( mrel @ mactual @ SV16 ) )
= $true )
| ( ( v4 @ SV16 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(441,plain,
! [SV17: mworld] :
( ( ( ~ ( mrel @ mactual @ SV17 ) )
= $true )
| ( ( ~ ( v3 @ SV17 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(442,plain,
! [SV18: mworld] :
( ( ( ~ ( mrel @ mactual @ SV18 ) )
= $true )
| ( ( ! [SY2031: mworld] :
( ~ ( mrel @ SV18 @ SY2031 )
| ( v3 @ SY2031 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(443,plain,
! [SV6: mworld] :
( ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( ~ ( v1 @ SV6 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(444,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(445,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(446,plain,
! [SV19: mworld] :
( ( ( ~ ( mrel @ mactual @ SV19 ) )
= $true )
| ( ( v2 @ SV19 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(447,plain,
! [SV20: mworld] :
( ( ( ~ ( mrel @ mactual @ SV20 ) )
= $true )
| ( ( ~ ( v2 @ SV20 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(448,plain,
! [SV21: mworld] :
( ( ( ~ ( mrel @ mactual @ SV21 ) )
= $true )
| ( ( ~ ( v1 @ SV21 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(449,plain,
! [SV7: mworld] :
( ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( ! [SY2028: mworld] :
( ~ ( mrel @ SV7 @ SY2028 )
| ( v3 @ SY2028 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(450,plain,
! [SV36: mworld] :
( ( ( ~ ( mrel @ mactual @ SV36 )
| ~ ( v1 @ SV36 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(451,plain,
! [SV37: mworld] :
( ( ( ~ ( mrel @ mactual @ SV37 )
| ! [SY2040: mworld] :
( ~ ( mrel @ SV37 @ SY2040 )
| ( v4 @ SY2040 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(452,plain,
! [SV22: mworld] :
( ( ( ~ ( mrel @ mactual @ SV22 ) )
= $true )
| ( ( ! [SY2032: mworld] :
( ~ ( mrel @ SV22 @ SY2032 )
| ~ ( v4 @ SY2032 ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(453,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v2 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(454,plain,
! [SV23: mworld] :
( ( ( ~ ( mrel @ mactual @ SV23 ) )
= $true )
| ( ( ! [SY2033: mworld] :
( ~ ( mrel @ SV23 @ SY2033 )
| ( v2 @ SY2033 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(455,plain,
( ( ( v4 @ mactual )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(456,plain,
! [SV24: mworld] :
( ( ( ~ ( mrel @ mactual @ SV24 ) )
= $true )
| ( ( ~ ( v2 @ SV24 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(457,plain,
! [SV38: mworld] :
( ( ( ~ ( mrel @ mactual @ SV38 )
| ~ ( v3 @ SV38 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(458,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(459,plain,
! [SV39: mworld] :
( ( ( ~ ( mrel @ mactual @ SV39 )
| ! [SY2041: mworld] :
( ~ ( mrel @ SV39 @ SY2041 )
| ~ ( v4 @ SY2041 ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(460,plain,
! [SV25: mworld] :
( ( ( ~ ( mrel @ mactual @ SV25 ) )
= $true )
| ( ( v3 @ SV25 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(461,plain,
! [SV40: mworld] :
( ( ( ~ ( mrel @ mactual @ SV40 )
| ! [SY2042: mworld] :
( ~ ( mrel @ SV40 @ SY2042 )
| ( v1 @ SY2042 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(462,plain,
! [SV8: mworld] :
( ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( ~ ( v1 @ SV8 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(463,plain,
! [SV41: mworld] :
( ( ( ~ ( mrel @ mactual @ SV41 )
| ( v1 @ SV41 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(464,plain,
! [SV26: mworld] :
( ( ( ~ ( mrel @ mactual @ SV26 ) )
= $true )
| ( ( v4 @ SV26 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(465,plain,
! [SV27: mworld] :
( ( ( ~ ( mrel @ mactual @ SV27 ) )
= $true )
| ( ( ~ ( v4 @ SV27 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(466,plain,
! [SV28: mworld] :
( ( ( ~ ( mrel @ mactual @ SV28 ) )
= $true )
| ( ( ! [SY2034: mworld] :
( ~ ( mrel @ SV28 @ SY2034 )
| ( v3 @ SY2034 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(467,plain,
! [SV42: mworld] :
( ( ( ~ ( mrel @ mactual @ SV42 )
| ! [SY2043: mworld] :
( ~ ( mrel @ SV42 @ SY2043 )
| ( v1 @ SY2043 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(468,plain,
! [SV9: mworld] :
( ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v2 @ SV9 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(469,plain,
! [SV29: mworld] :
( ( ( ~ ( mrel @ mactual @ SV29 ) )
= $true )
| ( ( ! [SY2035: mworld] :
( ~ ( mrel @ SV29 @ SY2035 )
| ( v1 @ SY2035 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(470,plain,
! [SV43: mworld] :
( ( ( ~ ( mrel @ mactual @ SV43 )
| ~ ( v1 @ SV43 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(471,plain,
! [SV10: mworld] :
( ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( v4 @ SV10 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(472,plain,
! [SV30: mworld] :
( ( ( ~ ( mrel @ mactual @ SV30 ) )
= $true )
| ( ( v1 @ SV30 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(473,plain,
! [SV44: mworld] :
( ( ( ~ ( mrel @ mactual @ SV44 )
| ( v1 @ SV44 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(474,plain,
! [SV11: mworld] :
( ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( v1 @ SV11 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(475,plain,
! [SV31: mworld] :
( ( ( ~ ( mrel @ mactual @ SV31 ) )
= $true )
| ( ( v3 @ SV31 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(476,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(477,plain,
! [SV45: mworld] :
( ( ( ~ ( mrel @ mactual @ SV45 )
| ~ ( v1 @ SV45 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(478,plain,
! [SV46: mworld] :
( ( ( ~ ( mrel @ mactual @ SV46 )
| ( v4 @ SV46 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(479,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ( v3 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(480,plain,
! [SV32: mworld] :
( ( ( ~ ( mrel @ mactual @ SV32 ) )
= $true )
| ( ( ! [SY2036: mworld] :
( ~ ( mrel @ SV32 @ SY2036 )
| ~ ( v4 @ SY2036 ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(481,plain,
! [SV12: mworld] :
( ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( ~ ( v1 @ SV12 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(482,plain,
! [SV33: mworld] :
( ( ( ~ ( mrel @ mactual @ SV33 ) )
= $true )
| ( ( ! [SY2037: mworld] :
( ~ ( mrel @ SV33 @ SY2037 )
| ~ ( v3 @ SY2037 ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(483,plain,
( ( mrel @ mactual @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(484,plain,
$true = $true,
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(485,plain,
! [SV47: mworld] :
( ( ( ~ ( mrel @ mactual @ SV47 )
| ~ ( v3 @ SV47 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(486,plain,
! [SV4: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(487,plain,
! [SV34: mworld] :
( ( ( ~ ( mrel @ mactual @ SV34 ) )
= $true )
| ( ( ! [SY2038: mworld] :
( ~ ( mrel @ SV34 @ SY2038 )
| ~ ( v3 @ SY2038 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(488,plain,
! [SV5: mworld,SV3: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV3 )
| ~ ( mrel @ SV3 @ SV5 ) )
= $true )
| ( ( mrel @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(489,plain,
! [SV35: mworld] :
( ( ( ~ ( mrel @ mactual @ SV35 ) )
= $true )
| ( ( ! [SY2039: mworld] :
( ~ ( mrel @ SV35 @ SY2039 )
| ( v3 @ SY2039 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(490,plain,
! [SV13: mworld] :
( ( ( mrel @ mactual @ SV13 )
= $false )
| ( ( ! [SY2029: mworld] :
( ~ ( mrel @ SV13 @ SY2029 )
| ~ ( v1 @ SY2029 ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(491,plain,
! [SV14: mworld] :
( ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( ~ ( v4 @ SV14 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(492,plain,
! [SV15: mworld] :
( ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( ! [SY2030: mworld] :
( ~ ( mrel @ SV15 @ SY2030 )
| ( v1 @ SY2030 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(493,plain,
! [SV16: mworld] :
( ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v4 @ SV16 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(494,plain,
! [SV17: mworld] :
( ( ( mrel @ mactual @ SV17 )
= $false )
| ( ( ~ ( v3 @ SV17 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(495,plain,
! [SV18: mworld] :
( ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( ! [SY2031: mworld] :
( ~ ( mrel @ SV18 @ SY2031 )
| ( v3 @ SY2031 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(496,plain,
! [SV6: mworld] :
( ( ( v1 @ SV6 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(497,plain,
! [SV48: mworld] :
( ( ( ~ ( mrel @ mactual @ SV48 )
| ~ ( v4 @ SV48 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(498,plain,
! [SV49: mworld] :
( ( ( ~ ( mrel @ mactual @ SV49 )
| ~ ( v4 @ SV49 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(499,plain,
! [SV19: mworld] :
( ( ( mrel @ mactual @ SV19 )
= $false )
| ( ( v2 @ SV19 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(500,plain,
! [SV20: mworld] :
( ( ( mrel @ mactual @ SV20 )
= $false )
| ( ( ~ ( v2 @ SV20 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(501,plain,
! [SV21: mworld] :
( ( ( mrel @ mactual @ SV21 )
= $false )
| ( ( ~ ( v1 @ SV21 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(502,plain,
! [SV50: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV50 )
| ( v3 @ SV50 ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(503,plain,
! [SV36: mworld] :
( ( ( ~ ( mrel @ mactual @ SV36 ) )
= $true )
| ( ( ~ ( v1 @ SV36 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(504,plain,
! [SV37: mworld] :
( ( ( ~ ( mrel @ mactual @ SV37 ) )
= $true )
| ( ( ! [SY2040: mworld] :
( ~ ( mrel @ SV37 @ SY2040 )
| ( v4 @ SY2040 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(505,plain,
! [SV22: mworld] :
( ( ( mrel @ mactual @ SV22 )
= $false )
| ( ( ! [SY2032: mworld] :
( ~ ( mrel @ SV22 @ SY2032 )
| ~ ( v4 @ SY2032 ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(506,plain,
! [SV51: mworld] :
( ( ( ~ ( mrel @ mactual @ SV51 )
| ~ ( v2 @ SV51 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(507,plain,
! [SV23: mworld] :
( ( ( mrel @ mactual @ SV23 )
= $false )
| ( ( ! [SY2033: mworld] :
( ~ ( mrel @ SV23 @ SY2033 )
| ( v2 @ SY2033 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(508,plain,
! [SV52: mworld] :
( ( ( ~ ( mrel @ mactual @ SV52 )
| ! [SY2044: mworld] :
( ~ ( mrel @ SV52 @ SY2044 )
| ~ ( v2 @ SY2044 ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(509,plain,
! [SV24: mworld] :
( ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( ~ ( v2 @ SV24 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(510,plain,
! [SV38: mworld] :
( ( ( ~ ( mrel @ mactual @ SV38 ) )
= $true )
| ( ( ~ ( v3 @ SV38 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(511,plain,
! [SV53: mworld] :
( ( ( ~ ( mrel @ mactual @ SV53 )
| ! [SY2045: mworld] :
( ~ ( mrel @ SV53 @ SY2045 )
| ~ ( v1 @ SY2045 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(512,plain,
! [SV39: mworld] :
( ( ( ~ ( mrel @ mactual @ SV39 ) )
= $true )
| ( ( ! [SY2041: mworld] :
( ~ ( mrel @ SV39 @ SY2041 )
| ~ ( v4 @ SY2041 ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(513,plain,
! [SV25: mworld] :
( ( ( mrel @ mactual @ SV25 )
= $false )
| ( ( v3 @ SV25 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(514,plain,
! [SV40: mworld] :
( ( ( ~ ( mrel @ mactual @ SV40 ) )
= $true )
| ( ( ! [SY2042: mworld] :
( ~ ( mrel @ SV40 @ SY2042 )
| ( v1 @ SY2042 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(515,plain,
! [SV8: mworld] :
( ( ( v1 @ SV8 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(516,plain,
! [SV41: mworld] :
( ( ( ~ ( mrel @ mactual @ SV41 ) )
= $true )
| ( ( v1 @ SV41 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(517,plain,
! [SV26: mworld] :
( ( ( mrel @ mactual @ SV26 )
= $false )
| ( ( v4 @ SV26 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(518,plain,
! [SV27: mworld] :
( ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( ~ ( v4 @ SV27 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(519,plain,
! [SV28: mworld] :
( ( ( mrel @ mactual @ SV28 )
= $false )
| ( ( ! [SY2034: mworld] :
( ~ ( mrel @ SV28 @ SY2034 )
| ( v3 @ SY2034 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(520,plain,
! [SV42: mworld] :
( ( ( ~ ( mrel @ mactual @ SV42 ) )
= $true )
| ( ( ! [SY2043: mworld] :
( ~ ( mrel @ SV42 @ SY2043 )
| ( v1 @ SY2043 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(521,plain,
! [SV9: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ SV9 )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(522,plain,
! [SV29: mworld] :
( ( ( mrel @ mactual @ SV29 )
= $false )
| ( ( ! [SY2035: mworld] :
( ~ ( mrel @ SV29 @ SY2035 )
| ( v1 @ SY2035 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(523,plain,
! [SV43: mworld] :
( ( ( ~ ( mrel @ mactual @ SV43 ) )
= $true )
| ( ( ~ ( v1 @ SV43 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(524,plain,
! [SV10: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV10 )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(525,plain,
! [SV30: mworld] :
( ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( v1 @ SV30 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(526,plain,
! [SV44: mworld] :
( ( ( ~ ( mrel @ mactual @ SV44 ) )
= $true )
| ( ( v1 @ SV44 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(527,plain,
! [SV11: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV11 )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(528,plain,
! [SV31: mworld] :
( ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v3 @ SV31 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(529,plain,
! [SV54: mworld] :
( ( ( ~ ( mrel @ mactual @ SV54 )
| ! [SY2046: mworld] :
( ~ ( mrel @ SV54 @ SY2046 )
| ( v1 @ SY2046 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(530,plain,
! [SV45: mworld] :
( ( ( ~ ( mrel @ mactual @ SV45 ) )
= $true )
| ( ( ~ ( v1 @ SV45 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(531,plain,
! [SV46: mworld] :
( ( ( ~ ( mrel @ mactual @ SV46 ) )
= $true )
| ( ( v4 @ SV46 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(532,plain,
! [SV55: mworld] :
( ( ( ~ ( mrel @ mactual @ SV55 )
| ( v3 @ SV55 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(533,plain,
! [SV32: mworld] :
( ( ( mrel @ mactual @ SV32 )
= $false )
| ( ( ! [SY2036: mworld] :
( ~ ( mrel @ SV32 @ SY2036 )
| ~ ( v4 @ SY2036 ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(534,plain,
! [SV12: mworld] :
( ( ( v1 @ SV12 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(535,plain,
! [SV33: mworld] :
( ( ( mrel @ mactual @ SV33 )
= $false )
| ( ( ! [SY2037: mworld] :
( ~ ( mrel @ SV33 @ SY2037 )
| ~ ( v3 @ SY2037 ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(536,plain,
! [SV47: mworld] :
( ( ( ~ ( mrel @ mactual @ SV47 ) )
= $true )
| ( ( ~ ( v3 @ SV47 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(537,plain,
! [SV4: mworld,SV56: mworld] :
( ( ( ~ ( mrel @ mactual @ SV56 )
| ~ ( v1 @ SV56 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(538,plain,
! [SV34: mworld] :
( ( ( mrel @ mactual @ SV34 )
= $false )
| ( ( ! [SY2038: mworld] :
( ~ ( mrel @ SV34 @ SY2038 )
| ~ ( v3 @ SY2038 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(539,plain,
! [SV5: mworld,SV3: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( mrel @ SV3 @ SV5 ) )
= $true )
| ( ( mrel @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(540,plain,
! [SV35: mworld] :
( ( ( mrel @ mactual @ SV35 )
= $false )
| ( ( ! [SY2039: mworld] :
( ~ ( mrel @ SV35 @ SY2039 )
| ( v3 @ SY2039 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(541,plain,
! [SV57: mworld,SV13: mworld] :
( ( ( ~ ( mrel @ SV13 @ SV57 )
| ~ ( v1 @ SV57 ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(542,plain,
! [SV14: mworld] :
( ( ( v4 @ SV14 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(543,plain,
! [SV58: mworld,SV15: mworld] :
( ( ( ~ ( mrel @ SV15 @ SV58 )
| ( v1 @ SV58 ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(544,plain,
! [SV16: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV16 )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(545,plain,
! [SV17: mworld] :
( ( ( v3 @ SV17 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(546,plain,
! [SV59: mworld,SV18: mworld] :
( ( ( ~ ( mrel @ SV18 @ SV59 )
| ( v3 @ SV59 ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(547,plain,
! [SV6: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( v1 @ SV6 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(548,plain,
! [SV48: mworld] :
( ( ( ~ ( mrel @ mactual @ SV48 ) )
= $true )
| ( ( ~ ( v4 @ SV48 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(549,plain,
! [SV49: mworld] :
( ( ( ~ ( mrel @ mactual @ SV49 ) )
= $true )
| ( ( ~ ( v4 @ SV49 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(550,plain,
! [SV19: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ mactual @ SV60 )
| ! [SY2047: mworld] :
( ~ ( mrel @ SV60 @ SY2047 )
| ( v1 @ SY2047 ) ) )
= $true )
| ( ( v2 @ SV19 )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(551,plain,
! [SV20: mworld] :
( ( ( v2 @ SV20 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(552,plain,
! [SV21: mworld] :
( ( ( v1 @ SV21 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(553,plain,
! [SV50: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV50 ) )
= $true )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(554,plain,
! [SV36: mworld] :
( ( ( mrel @ mactual @ SV36 )
= $false )
| ( ( ~ ( v1 @ SV36 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(555,plain,
! [SV37: mworld] :
( ( ( mrel @ mactual @ SV37 )
= $false )
| ( ( ! [SY2040: mworld] :
( ~ ( mrel @ SV37 @ SY2040 )
| ( v4 @ SY2040 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(556,plain,
! [SV61: mworld,SV22: mworld] :
( ( ( ~ ( mrel @ SV22 @ SV61 )
| ~ ( v4 @ SV61 ) )
= $true )
| ( ( mrel @ mactual @ SV22 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(557,plain,
! [SV51: mworld] :
( ( ( ~ ( mrel @ mactual @ SV51 ) )
= $true )
| ( ( ~ ( v2 @ SV51 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(558,plain,
! [SV62: mworld,SV23: mworld] :
( ( ( ~ ( mrel @ SV23 @ SV62 )
| ( v2 @ SV62 ) )
= $true )
| ( ( mrel @ mactual @ SV23 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(559,plain,
! [SV52: mworld] :
( ( ( ~ ( mrel @ mactual @ SV52 ) )
= $true )
| ( ( ! [SY2044: mworld] :
( ~ ( mrel @ SV52 @ SY2044 )
| ~ ( v2 @ SY2044 ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[508]) ).
thf(560,plain,
! [SV24: mworld] :
( ( ( v2 @ SV24 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(561,plain,
! [SV38: mworld] :
( ( ( mrel @ mactual @ SV38 )
= $false )
| ( ( ~ ( v3 @ SV38 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(562,plain,
! [SV53: mworld] :
( ( ( ~ ( mrel @ mactual @ SV53 ) )
= $true )
| ( ( ! [SY2045: mworld] :
( ~ ( mrel @ SV53 @ SY2045 )
| ~ ( v1 @ SY2045 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[511]) ).
thf(563,plain,
! [SV39: mworld] :
( ( ( mrel @ mactual @ SV39 )
= $false )
| ( ( ! [SY2041: mworld] :
( ~ ( mrel @ SV39 @ SY2041 )
| ~ ( v4 @ SY2041 ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(564,plain,
! [SV25: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v4 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ SV25 )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(565,plain,
! [SV40: mworld] :
( ( ( mrel @ mactual @ SV40 )
= $false )
| ( ( ! [SY2042: mworld] :
( ~ ( mrel @ SV40 @ SY2042 )
| ( v1 @ SY2042 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(566,plain,
! [SV8: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( v1 @ SV8 )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[515]) ).
thf(567,plain,
! [SV41: mworld] :
( ( ( mrel @ mactual @ SV41 )
= $false )
| ( ( v1 @ SV41 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(568,plain,
! [SV26: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ( v1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV26 )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(569,plain,
! [SV27: mworld] :
( ( ( v4 @ SV27 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(570,plain,
! [SV63: mworld,SV28: mworld] :
( ( ( ~ ( mrel @ SV28 @ SV63 )
| ( v3 @ SV63 ) )
= $true )
| ( ( mrel @ mactual @ SV28 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(571,plain,
! [SV42: mworld] :
( ( ( mrel @ mactual @ SV42 )
= $false )
| ( ( ! [SY2043: mworld] :
( ~ ( mrel @ SV42 @ SY2043 )
| ( v1 @ SY2043 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(572,plain,
! [SV9: mworld,SV64: mworld] :
( ( ( ~ ( mrel @ mactual @ SV64 )
| ! [SY2048: mworld] :
( ~ ( mrel @ SV64 @ SY2048 )
| ( v4 @ SY2048 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ SV9 )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(573,plain,
! [SV65: mworld,SV29: mworld] :
( ( ( ~ ( mrel @ SV29 @ SV65 )
| ( v1 @ SV65 ) )
= $true )
| ( ( mrel @ mactual @ SV29 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(574,plain,
! [SV43: mworld] :
( ( ( mrel @ mactual @ SV43 )
= $false )
| ( ( ~ ( v1 @ SV43 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(575,plain,
! [SV10: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ mactual @ SV66 )
| ! [SY2049: mworld] :
( ~ ( mrel @ SV66 @ SY2049 )
| ( v2 @ SY2049 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV10 )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(576,plain,
! [SV30: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV30 )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(577,plain,
! [SV44: mworld] :
( ( ( mrel @ mactual @ SV44 )
= $false )
| ( ( v1 @ SV44 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(578,plain,
! [SV11: mworld,SV67: mworld] :
( ( ( ~ ( mrel @ mactual @ SV67 )
| ~ ( v1 @ SV67 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV11 )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(579,plain,
! [SV31: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ SV31 )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(580,plain,
! [SV54: mworld] :
( ( ( ~ ( mrel @ mactual @ SV54 ) )
= $true )
| ( ( ! [SY2046: mworld] :
( ~ ( mrel @ SV54 @ SY2046 )
| ( v1 @ SY2046 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[529]) ).
thf(581,plain,
! [SV45: mworld] :
( ( ( mrel @ mactual @ SV45 )
= $false )
| ( ( ~ ( v1 @ SV45 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(582,plain,
! [SV46: mworld] :
( ( ( mrel @ mactual @ SV46 )
= $false )
| ( ( v4 @ SV46 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(583,plain,
! [SV55: mworld] :
( ( ( ~ ( mrel @ mactual @ SV55 ) )
= $true )
| ( ( v3 @ SV55 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(584,plain,
! [SV68: mworld,SV32: mworld] :
( ( ( ~ ( mrel @ SV32 @ SV68 )
| ~ ( v4 @ SV68 ) )
= $true )
| ( ( mrel @ mactual @ SV32 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(585,plain,
! [SV12: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( v1 @ SV12 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(586,plain,
! [SV69: mworld,SV33: mworld] :
( ( ( ~ ( mrel @ SV33 @ SV69 )
| ~ ( v3 @ SV69 ) )
= $true )
| ( ( mrel @ mactual @ SV33 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(587,plain,
! [SV47: mworld] :
( ( ( mrel @ mactual @ SV47 )
= $false )
| ( ( ~ ( v3 @ SV47 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(588,plain,
! [SV4: mworld,SV56: mworld] :
( ( ( ~ ( mrel @ mactual @ SV56 ) )
= $true )
| ( ( ~ ( v1 @ SV56 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(589,plain,
! [SV70: mworld,SV34: mworld] :
( ( ( ~ ( mrel @ SV34 @ SV70 )
| ~ ( v3 @ SV70 ) )
= $true )
| ( ( mrel @ mactual @ SV34 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(590,plain,
! [SV5: mworld,SV3: mworld,SV2: mworld] :
( ( ( mrel @ SV2 @ SV3 )
= $false )
| ( ( ~ ( mrel @ SV3 @ SV5 ) )
= $true )
| ( ( mrel @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(591,plain,
! [SV71: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ SV35 @ SV71 )
| ( v3 @ SV71 ) )
= $true )
| ( ( mrel @ mactual @ SV35 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(592,plain,
! [SV57: mworld,SV13: mworld] :
( ( ( ~ ( mrel @ SV13 @ SV57 ) )
= $true )
| ( ( ~ ( v1 @ SV57 ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(593,plain,
! [SV14: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(594,plain,
! [SV58: mworld,SV15: mworld] :
( ( ( ~ ( mrel @ SV15 @ SV58 ) )
= $true )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[543]) ).
thf(595,plain,
! [SV16: mworld,SV72: mworld] :
( ( ( ~ ( mrel @ mactual @ SV72 )
| ! [SY2050: mworld] :
( ~ ( mrel @ SV72 @ SY2050 )
| ( v2 @ SY2050 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV16 )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(596,plain,
! [SV17: mworld,SV73: mworld] :
( ( ( ~ ( mrel @ mactual @ SV73 )
| ! [SY2051: mworld] :
( ~ ( mrel @ SV73 @ SY2051 )
| ( v1 @ SY2051 ) ) )
= $true )
| ( ( mrel @ mactual @ SV17 )
= $false )
| ( ( v3 @ SV17 )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(597,plain,
! [SV59: mworld,SV18: mworld] :
( ( ( ~ ( mrel @ SV18 @ SV59 ) )
= $true )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(598,plain,
! [SV6: mworld,SV74: mworld] :
( ( ( ~ ( mrel @ mactual @ SV74 )
| ! [SY2052: mworld] :
( ~ ( mrel @ SV74 @ SY2052 )
| ( v3 @ SY2052 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( v1 @ SV6 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(599,plain,
! [SV48: mworld] :
( ( ( mrel @ mactual @ SV48 )
= $false )
| ( ( ~ ( v4 @ SV48 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(600,plain,
! [SV49: mworld] :
( ( ( mrel @ mactual @ SV49 )
= $false )
| ( ( ~ ( v4 @ SV49 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(601,plain,
! [SV19: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ mactual @ SV60 ) )
= $true )
| ( ( ! [SY2047: mworld] :
( ~ ( mrel @ SV60 @ SY2047 )
| ( v1 @ SY2047 ) ) )
= $true )
| ( ( v2 @ SV19 )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(602,plain,
! [SV20: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ mactual @ SV75 )
| ! [SY2053: mworld] :
( ~ ( mrel @ SV75 @ SY2053 )
| ( v2 @ SY2053 ) ) )
= $true )
| ( ( mrel @ mactual @ SV20 )
= $false )
| ( ( v2 @ SV20 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(603,plain,
! [SV21: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ mactual @ SV76 )
| ! [SY2054: mworld] :
( ~ ( mrel @ SV76 @ SY2054 )
| ~ ( v1 @ SY2054 ) ) )
= $true )
| ( ( mrel @ mactual @ SV21 )
= $false )
| ( ( v1 @ SV21 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(604,plain,
! [SV50: mworld,SV7: mworld] :
( ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(605,plain,
! [SV36: mworld] :
( ( ( v1 @ SV36 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(606,plain,
! [SV77: mworld,SV37: mworld] :
( ( ( ~ ( mrel @ SV37 @ SV77 )
| ( v4 @ SV77 ) )
= $true )
| ( ( mrel @ mactual @ SV37 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(607,plain,
! [SV61: mworld,SV22: mworld] :
( ( ( ~ ( mrel @ SV22 @ SV61 ) )
= $true )
| ( ( ~ ( v4 @ SV61 ) )
= $true )
| ( ( mrel @ mactual @ SV22 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(608,plain,
! [SV51: mworld] :
( ( ( mrel @ mactual @ SV51 )
= $false )
| ( ( ~ ( v2 @ SV51 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(609,plain,
! [SV62: mworld,SV23: mworld] :
( ( ( ~ ( mrel @ SV23 @ SV62 ) )
= $true )
| ( ( v2 @ SV62 )
= $true )
| ( ( mrel @ mactual @ SV23 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(610,plain,
! [SV52: mworld] :
( ( ( mrel @ mactual @ SV52 )
= $false )
| ( ( ! [SY2044: mworld] :
( ~ ( mrel @ SV52 @ SY2044 )
| ~ ( v2 @ SY2044 ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(611,plain,
! [SV24: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( v2 @ SV24 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(612,plain,
! [SV38: mworld] :
( ( ( v3 @ SV38 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(613,plain,
! [SV53: mworld] :
( ( ( mrel @ mactual @ SV53 )
= $false )
| ( ( ! [SY2045: mworld] :
( ~ ( mrel @ SV53 @ SY2045 )
| ~ ( v1 @ SY2045 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(614,plain,
! [SV78: mworld,SV39: mworld] :
( ( ( ~ ( mrel @ SV39 @ SV78 )
| ~ ( v4 @ SV78 ) )
= $true )
| ( ( mrel @ mactual @ SV39 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(615,plain,
! [SV25: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ mactual @ SV79 )
| ~ ( v4 @ SV79 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ SV25 )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(616,plain,
! [SV80: mworld,SV40: mworld] :
( ( ( ~ ( mrel @ SV40 @ SV80 )
| ( v1 @ SV80 ) )
= $true )
| ( ( mrel @ mactual @ SV40 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(617,plain,
! [SV8: mworld,SV81: mworld] :
( ( ( ~ ( mrel @ mactual @ SV81 )
| ! [SY2055: mworld] :
( ~ ( mrel @ SV81 @ SY2055 )
| ( v4 @ SY2055 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( v1 @ SV8 )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(618,plain,
! [SV41: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ mactual @ SV82 )
| ! [SY2056: mworld] :
( ~ ( mrel @ SV82 @ SY2056 )
| ( v2 @ SY2056 ) ) )
= $true )
| ( ( v1 @ SV41 )
= $true )
| ( ( mrel @ mactual @ SV41 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(619,plain,
! [SV26: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ mactual @ SV83 )
| ~ ( v1 @ SV83 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV26 )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(620,plain,
! [SV27: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( v4 @ SV27 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(621,plain,
! [SV63: mworld,SV28: mworld] :
( ( ( ~ ( mrel @ SV28 @ SV63 ) )
= $true )
| ( ( v3 @ SV63 )
= $true )
| ( ( mrel @ mactual @ SV28 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(622,plain,
! [SV84: mworld,SV42: mworld] :
( ( ( ~ ( mrel @ SV42 @ SV84 )
| ( v1 @ SV84 ) )
= $true )
| ( ( mrel @ mactual @ SV42 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(623,plain,
! [SV9: mworld,SV64: mworld] :
( ( ( ~ ( mrel @ mactual @ SV64 ) )
= $true )
| ( ( ! [SY2048: mworld] :
( ~ ( mrel @ SV64 @ SY2048 )
| ( v4 @ SY2048 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ SV9 )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(624,plain,
! [SV65: mworld,SV29: mworld] :
( ( ( ~ ( mrel @ SV29 @ SV65 ) )
= $true )
| ( ( v1 @ SV65 )
= $true )
| ( ( mrel @ mactual @ SV29 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(625,plain,
! [SV43: mworld] :
( ( ( v1 @ SV43 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(626,plain,
! [SV10: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ mactual @ SV66 ) )
= $true )
| ( ( ! [SY2049: mworld] :
( ~ ( mrel @ SV66 @ SY2049 )
| ( v2 @ SY2049 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV10 )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(627,plain,
! [SV30: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ mactual @ SV85 )
| ! [SY2057: mworld] :
( ~ ( mrel @ SV85 @ SY2057 )
| ( v3 @ SY2057 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV30 )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(628,plain,
! [SV44: mworld,SV86: mworld] :
( ( ( ~ ( mrel @ mactual @ SV86 )
| ! [SY2058: mworld] :
( ~ ( mrel @ SV86 @ SY2058 )
| ~ ( v2 @ SY2058 ) ) )
= $true )
| ( ( v1 @ SV44 )
= $true )
| ( ( mrel @ mactual @ SV44 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(629,plain,
! [SV11: mworld,SV67: mworld] :
( ( ( ~ ( mrel @ mactual @ SV67 ) )
= $true )
| ( ( ~ ( v1 @ SV67 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV11 )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(630,plain,
! [SV31: mworld,SV87: mworld] :
( ( ( ~ ( mrel @ mactual @ SV87 )
| ! [SY2059: mworld] :
( ~ ( mrel @ SV87 @ SY2059 )
| ( v2 @ SY2059 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ SV31 )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(631,plain,
! [SV54: mworld] :
( ( ( mrel @ mactual @ SV54 )
= $false )
| ( ( ! [SY2046: mworld] :
( ~ ( mrel @ SV54 @ SY2046 )
| ( v1 @ SY2046 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(632,plain,
! [SV45: mworld] :
( ( ( v1 @ SV45 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(633,plain,
! [SV46: mworld,SV88: mworld] :
( ( ( ~ ( mrel @ mactual @ SV88 )
| ! [SY2060: mworld] :
( ~ ( mrel @ SV88 @ SY2060 )
| ~ ( v4 @ SY2060 ) ) )
= $true )
| ( ( v4 @ SV46 )
= $true )
| ( ( mrel @ mactual @ SV46 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(634,plain,
! [SV55: mworld] :
( ( ( mrel @ mactual @ SV55 )
= $false )
| ( ( v3 @ SV55 )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(635,plain,
! [SV68: mworld,SV32: mworld] :
( ( ( ~ ( mrel @ SV32 @ SV68 ) )
= $true )
| ( ( ~ ( v4 @ SV68 ) )
= $true )
| ( ( mrel @ mactual @ SV32 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(636,plain,
! [SV12: mworld,SV89: mworld] :
( ( ( ~ ( mrel @ mactual @ SV89 )
| ! [SY2061: mworld] :
( ~ ( mrel @ SV89 @ SY2061 )
| ( v1 @ SY2061 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( v1 @ SV12 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(637,plain,
! [SV69: mworld,SV33: mworld] :
( ( ( ~ ( mrel @ SV33 @ SV69 ) )
= $true )
| ( ( ~ ( v3 @ SV69 ) )
= $true )
| ( ( mrel @ mactual @ SV33 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(638,plain,
! [SV47: mworld] :
( ( ( v3 @ SV47 )
= $false )
| ( ( mrel @ mactual @ SV47 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(639,plain,
! [SV4: mworld,SV56: mworld] :
( ( ( mrel @ mactual @ SV56 )
= $false )
| ( ( ~ ( v1 @ SV56 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(640,plain,
! [SV70: mworld,SV34: mworld] :
( ( ( ~ ( mrel @ SV34 @ SV70 ) )
= $true )
| ( ( ~ ( v3 @ SV70 ) )
= $true )
| ( ( mrel @ mactual @ SV34 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[589]) ).
thf(641,plain,
! [SV2: mworld,SV5: mworld,SV3: mworld] :
( ( ( mrel @ SV3 @ SV5 )
= $false )
| ( ( mrel @ SV2 @ SV3 )
= $false )
| ( ( mrel @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(642,plain,
! [SV71: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ SV35 @ SV71 ) )
= $true )
| ( ( v3 @ SV71 )
= $true )
| ( ( mrel @ mactual @ SV35 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(643,plain,
! [SV57: mworld,SV13: mworld] :
( ( ( mrel @ SV13 @ SV57 )
= $false )
| ( ( ~ ( v1 @ SV57 ) )
= $true )
| ( ( mrel @ mactual @ SV13 )
= $false )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(644,plain,
! [SV14: mworld,SV90: mworld] :
( ( ( ~ ( mrel @ mactual @ SV90 )
| ! [SY2062: mworld] :
( ~ ( mrel @ SV90 @ SY2062 )
| ~ ( v2 @ SY2062 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(645,plain,
! [SV58: mworld,SV15: mworld] :
( ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(646,plain,
! [SV16: mworld,SV72: mworld] :
( ( ( ~ ( mrel @ mactual @ SV72 ) )
= $true )
| ( ( ! [SY2050: mworld] :
( ~ ( mrel @ SV72 @ SY2050 )
| ( v2 @ SY2050 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV16 )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(647,plain,
! [SV17: mworld,SV73: mworld] :
( ( ( ~ ( mrel @ mactual @ SV73 ) )
= $true )
| ( ( ! [SY2051: mworld] :
( ~ ( mrel @ SV73 @ SY2051 )
| ( v1 @ SY2051 ) ) )
= $true )
| ( ( mrel @ mactual @ SV17 )
= $false )
| ( ( v3 @ SV17 )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(648,plain,
! [SV59: mworld,SV18: mworld] :
( ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) )
| ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(649,plain,
! [SV6: mworld,SV74: mworld] :
( ( ( ~ ( mrel @ mactual @ SV74 ) )
= $true )
| ( ( ! [SY2052: mworld] :
( ~ ( mrel @ SV74 @ SY2052 )
| ( v3 @ SY2052 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( v1 @ SV6 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(650,plain,
! [SV48: mworld] :
( ( ( v4 @ SV48 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(651,plain,
! [SV49: mworld] :
( ( ( v4 @ SV49 )
= $false )
| ( ( mrel @ mactual @ SV49 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(652,plain,
! [SV19: mworld,SV60: mworld] :
( ( ( mrel @ mactual @ SV60 )
= $false )
| ( ( ! [SY2047: mworld] :
( ~ ( mrel @ SV60 @ SY2047 )
| ( v1 @ SY2047 ) ) )
= $true )
| ( ( v2 @ SV19 )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(653,plain,
! [SV20: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ mactual @ SV75 ) )
= $true )
| ( ( ! [SY2053: mworld] :
( ~ ( mrel @ SV75 @ SY2053 )
| ( v2 @ SY2053 ) ) )
= $true )
| ( ( mrel @ mactual @ SV20 )
= $false )
| ( ( v2 @ SV20 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(654,plain,
! [SV21: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ mactual @ SV76 ) )
= $true )
| ( ( ! [SY2054: mworld] :
( ~ ( mrel @ SV76 @ SY2054 )
| ~ ( v1 @ SY2054 ) ) )
= $true )
| ( ( mrel @ mactual @ SV21 )
= $false )
| ( ( v1 @ SV21 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(655,plain,
! [SV50: mworld,SV7: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(656,plain,
! [SV36: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ mactual @ SV91 )
| ! [SY2063: mworld] :
( ~ ( mrel @ SV91 @ SY2063 )
| ~ ( v1 @ SY2063 ) ) )
= $true )
| ( ( mrel @ mactual @ SV36 )
= $false )
| ( ( v1 @ SV36 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(657,plain,
! [SV77: mworld,SV37: mworld] :
( ( ( ~ ( mrel @ SV37 @ SV77 ) )
= $true )
| ( ( v4 @ SV77 )
= $true )
| ( ( mrel @ mactual @ SV37 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(658,plain,
! [SV61: mworld,SV22: mworld] :
( ( ( mrel @ SV22 @ SV61 )
= $false )
| ( ( ~ ( v4 @ SV61 ) )
= $true )
| ( ( mrel @ mactual @ SV22 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(659,plain,
! [SV51: mworld] :
( ( ( v2 @ SV51 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(660,plain,
! [SV62: mworld,SV23: mworld] :
( ( ( mrel @ SV23 @ SV62 )
= $false )
| ( ( v2 @ SV62 )
= $true )
| ( ( mrel @ mactual @ SV23 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(661,plain,
! [SV92: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ SV92 )
| ~ ( v2 @ SV92 ) )
= $true )
| ( ( mrel @ mactual @ SV52 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(662,plain,
! [SV24: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ mactual @ SV93 )
| ! [SY2064: mworld] :
( ~ ( mrel @ SV93 @ SY2064 )
| ( v4 @ SY2064 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( v2 @ SV24 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(663,plain,
! [SV38: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ mactual @ SV94 )
| ! [SY2065: mworld] :
( ~ ( mrel @ SV94 @ SY2065 )
| ( v3 @ SY2065 ) ) )
= $true )
| ( ( mrel @ mactual @ SV38 )
= $false )
| ( ( v3 @ SV38 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(664,plain,
! [SV95: mworld,SV53: mworld] :
( ( ( ~ ( mrel @ SV53 @ SV95 )
| ~ ( v1 @ SV95 ) )
= $true )
| ( ( mrel @ mactual @ SV53 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(665,plain,
! [SV78: mworld,SV39: mworld] :
( ( ( ~ ( mrel @ SV39 @ SV78 ) )
= $true )
| ( ( ~ ( v4 @ SV78 ) )
= $true )
| ( ( mrel @ mactual @ SV39 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(666,plain,
! [SV25: mworld,SV79: mworld] :
( ( ( ~ ( mrel @ mactual @ SV79 ) )
= $true )
| ( ( ~ ( v4 @ SV79 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ SV25 )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[615]) ).
thf(667,plain,
! [SV80: mworld,SV40: mworld] :
( ( ( ~ ( mrel @ SV40 @ SV80 ) )
= $true )
| ( ( v1 @ SV80 )
= $true )
| ( ( mrel @ mactual @ SV40 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(668,plain,
! [SV8: mworld,SV81: mworld] :
( ( ( ~ ( mrel @ mactual @ SV81 ) )
= $true )
| ( ( ! [SY2055: mworld] :
( ~ ( mrel @ SV81 @ SY2055 )
| ( v4 @ SY2055 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( v1 @ SV8 )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[617]) ).
thf(669,plain,
! [SV41: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ mactual @ SV82 ) )
= $true )
| ( ( ! [SY2056: mworld] :
( ~ ( mrel @ SV82 @ SY2056 )
| ( v2 @ SY2056 ) ) )
= $true )
| ( ( v1 @ SV41 )
= $true )
| ( ( mrel @ mactual @ SV41 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(670,plain,
! [SV26: mworld,SV83: mworld] :
( ( ( ~ ( mrel @ mactual @ SV83 ) )
= $true )
| ( ( ~ ( v1 @ SV83 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV26 )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(671,plain,
! [SV27: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ mactual @ SV96 )
| ! [SY2066: mworld] :
( ~ ( mrel @ SV96 @ SY2066 )
| ( v4 @ SY2066 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( v4 @ SV27 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(672,plain,
! [SV63: mworld,SV28: mworld] :
( ( ( mrel @ SV28 @ SV63 )
= $false )
| ( ( v3 @ SV63 )
= $true )
| ( ( mrel @ mactual @ SV28 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(673,plain,
! [SV84: mworld,SV42: mworld] :
( ( ( ~ ( mrel @ SV42 @ SV84 ) )
= $true )
| ( ( v1 @ SV84 )
= $true )
| ( ( mrel @ mactual @ SV42 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(674,plain,
! [SV9: mworld,SV64: mworld] :
( ( ( mrel @ mactual @ SV64 )
= $false )
| ( ( ! [SY2048: mworld] :
( ~ ( mrel @ SV64 @ SY2048 )
| ( v4 @ SY2048 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ SV9 )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(675,plain,
! [SV65: mworld,SV29: mworld] :
( ( ( mrel @ SV29 @ SV65 )
= $false )
| ( ( v1 @ SV65 )
= $true )
| ( ( mrel @ mactual @ SV29 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(676,plain,
! [SV43: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ mactual @ SV97 )
| ! [SY2067: mworld] :
( ~ ( mrel @ SV97 @ SY2067 )
| ~ ( v1 @ SY2067 ) ) )
= $true )
| ( ( mrel @ mactual @ SV43 )
= $false )
| ( ( v1 @ SV43 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(677,plain,
! [SV10: mworld,SV66: mworld] :
( ( ( mrel @ mactual @ SV66 )
= $false )
| ( ( ! [SY2049: mworld] :
( ~ ( mrel @ SV66 @ SY2049 )
| ( v2 @ SY2049 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV10 )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(678,plain,
! [SV30: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ mactual @ SV85 ) )
= $true )
| ( ( ! [SY2057: mworld] :
( ~ ( mrel @ SV85 @ SY2057 )
| ( v3 @ SY2057 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV30 )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(679,plain,
! [SV44: mworld,SV86: mworld] :
( ( ( ~ ( mrel @ mactual @ SV86 ) )
= $true )
| ( ( ! [SY2058: mworld] :
( ~ ( mrel @ SV86 @ SY2058 )
| ~ ( v2 @ SY2058 ) ) )
= $true )
| ( ( v1 @ SV44 )
= $true )
| ( ( mrel @ mactual @ SV44 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(680,plain,
! [SV11: mworld,SV67: mworld] :
( ( ( mrel @ mactual @ SV67 )
= $false )
| ( ( ~ ( v1 @ SV67 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV11 )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(681,plain,
! [SV31: mworld,SV87: mworld] :
( ( ( ~ ( mrel @ mactual @ SV87 ) )
= $true )
| ( ( ! [SY2059: mworld] :
( ~ ( mrel @ SV87 @ SY2059 )
| ( v2 @ SY2059 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ SV31 )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(682,plain,
! [SV98: mworld,SV54: mworld] :
( ( ( ~ ( mrel @ SV54 @ SV98 )
| ( v1 @ SV98 ) )
= $true )
| ( ( mrel @ mactual @ SV54 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(683,plain,
! [SV45: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ mactual @ SV99 )
| ! [SY2068: mworld] :
( ~ ( mrel @ SV99 @ SY2068 )
| ( v3 @ SY2068 ) ) )
= $true )
| ( ( mrel @ mactual @ SV45 )
= $false )
| ( ( v1 @ SV45 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(684,plain,
! [SV46: mworld,SV88: mworld] :
( ( ( ~ ( mrel @ mactual @ SV88 ) )
= $true )
| ( ( ! [SY2060: mworld] :
( ~ ( mrel @ SV88 @ SY2060 )
| ~ ( v4 @ SY2060 ) ) )
= $true )
| ( ( v4 @ SV46 )
= $true )
| ( ( mrel @ mactual @ SV46 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(685,plain,
! [SV55: mworld,SV100: mworld] :
( ( ( ~ ( mrel @ mactual @ SV100 )
| ! [SY2069: mworld] :
( ~ ( mrel @ SV100 @ SY2069 )
| ~ ( v1 @ SY2069 ) ) )
= $true )
| ( ( v3 @ SV55 )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(686,plain,
! [SV68: mworld,SV32: mworld] :
( ( ( mrel @ SV32 @ SV68 )
= $false )
| ( ( ~ ( v4 @ SV68 ) )
= $true )
| ( ( mrel @ mactual @ SV32 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(687,plain,
! [SV12: mworld,SV89: mworld] :
( ( ( ~ ( mrel @ mactual @ SV89 ) )
= $true )
| ( ( ! [SY2061: mworld] :
( ~ ( mrel @ SV89 @ SY2061 )
| ( v1 @ SY2061 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( v1 @ SV12 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(688,plain,
! [SV69: mworld,SV33: mworld] :
( ( ( mrel @ SV33 @ SV69 )
= $false )
| ( ( ~ ( v3 @ SV69 ) )
= $true )
| ( ( mrel @ mactual @ SV33 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(689,plain,
! [SV47: mworld,SV101: mworld] :
( ( ( ~ ( mrel @ mactual @ SV101 )
| ! [SY2070: mworld] :
( ~ ( mrel @ SV101 @ SY2070 )
| ( v4 @ SY2070 ) ) )
= $true )
| ( ( mrel @ mactual @ SV47 )
= $false )
| ( ( v3 @ SV47 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(690,plain,
! [SV4: mworld,SV56: mworld] :
( ( ( v1 @ SV56 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(691,plain,
! [SV70: mworld,SV34: mworld] :
( ( ( mrel @ SV34 @ SV70 )
= $false )
| ( ( ~ ( v3 @ SV70 ) )
= $true )
| ( ( mrel @ mactual @ SV34 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(692,plain,
! [SV71: mworld,SV35: mworld] :
( ( ( mrel @ SV35 @ SV71 )
= $false )
| ( ( v3 @ SV71 )
= $true )
| ( ( mrel @ mactual @ SV35 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(693,plain,
! [SV13: mworld,SV57: mworld] :
( ( ( v1 @ SV57 )
= $false )
| ( ( mrel @ SV13 @ SV57 )
= $false )
| ( ( mrel @ mactual @ SV13 )
= $false )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(694,plain,
! [SV14: mworld,SV90: mworld] :
( ( ( ~ ( mrel @ mactual @ SV90 ) )
= $true )
| ( ( ! [SY2062: mworld] :
( ~ ( mrel @ SV90 @ SY2062 )
| ~ ( v2 @ SY2062 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[644]) ).
thf(695,plain,
! [SV58: mworld,SV15: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[645]) ).
thf(696,plain,
! [SV16: mworld,SV72: mworld] :
( ( ( mrel @ mactual @ SV72 )
= $false )
| ( ( ! [SY2050: mworld] :
( ~ ( mrel @ SV72 @ SY2050 )
| ( v2 @ SY2050 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV16 )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(697,plain,
! [SV17: mworld,SV73: mworld] :
( ( ( mrel @ mactual @ SV73 )
= $false )
| ( ( ! [SY2051: mworld] :
( ~ ( mrel @ SV73 @ SY2051 )
| ( v1 @ SY2051 ) ) )
= $true )
| ( ( mrel @ mactual @ SV17 )
= $false )
| ( ( v3 @ SV17 )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(698,plain,
! [SV59: mworld,SV18: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(699,plain,
! [SV6: mworld,SV74: mworld] :
( ( ( mrel @ mactual @ SV74 )
= $false )
| ( ( ! [SY2052: mworld] :
( ~ ( mrel @ SV74 @ SY2052 )
| ( v3 @ SY2052 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( v1 @ SV6 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(700,plain,
! [SV48: mworld,SV102: mworld] :
( ( ( ~ ( mrel @ mactual @ SV102 )
| ! [SY2071: mworld] :
( ~ ( mrel @ SV102 @ SY2071 )
| ~ ( v1 @ SY2071 ) ) )
= $true )
| ( ( mrel @ mactual @ SV48 )
= $false )
| ( ( v4 @ SV48 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(701,plain,
! [SV49: mworld,SV103: mworld] :
( ( ( ~ ( mrel @ mactual @ SV103 )
| ! [SY2072: mworld] :
( ~ ( mrel @ SV103 @ SY2072 )
| ( v4 @ SY2072 ) ) )
= $true )
| ( ( mrel @ mactual @ SV49 )
= $false )
| ( ( v4 @ SV49 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(702,plain,
! [SV19: mworld,SV104: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ SV104 )
| ( v1 @ SV104 ) )
= $true )
| ( ( mrel @ mactual @ SV60 )
= $false )
| ( ( v2 @ SV19 )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(703,plain,
! [SV20: mworld,SV75: mworld] :
( ( ( mrel @ mactual @ SV75 )
= $false )
| ( ( ! [SY2053: mworld] :
( ~ ( mrel @ SV75 @ SY2053 )
| ( v2 @ SY2053 ) ) )
= $true )
| ( ( mrel @ mactual @ SV20 )
= $false )
| ( ( v2 @ SV20 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(704,plain,
! [SV21: mworld,SV76: mworld] :
( ( ( mrel @ mactual @ SV76 )
= $false )
| ( ( ! [SY2054: mworld] :
( ~ ( mrel @ SV76 @ SY2054 )
| ~ ( v1 @ SY2054 ) ) )
= $true )
| ( ( mrel @ mactual @ SV21 )
= $false )
| ( ( v1 @ SV21 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(705,plain,
! [SV50: mworld,SV7: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ mactual @ SV105 )
| ! [SY2073: mworld] :
( ~ ( mrel @ SV105 @ SY2073 )
| ~ ( v3 @ SY2073 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(706,plain,
! [SV36: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ mactual @ SV91 ) )
= $true )
| ( ( ! [SY2063: mworld] :
( ~ ( mrel @ SV91 @ SY2063 )
| ~ ( v1 @ SY2063 ) ) )
= $true )
| ( ( mrel @ mactual @ SV36 )
= $false )
| ( ( v1 @ SV36 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(707,plain,
! [SV77: mworld,SV37: mworld] :
( ( ( mrel @ SV37 @ SV77 )
= $false )
| ( ( v4 @ SV77 )
= $true )
| ( ( mrel @ mactual @ SV37 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(708,plain,
! [SV22: mworld,SV61: mworld] :
( ( ( v4 @ SV61 )
= $false )
| ( ( mrel @ SV22 @ SV61 )
= $false )
| ( ( mrel @ mactual @ SV22 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(709,plain,
! [SV51: mworld,SV106: mworld] :
( ( ( ~ ( mrel @ mactual @ SV106 )
| ! [SY2074: mworld] :
( ~ ( mrel @ SV106 @ SY2074 )
| ( v3 @ SY2074 ) ) )
= $true )
| ( ( mrel @ mactual @ SV51 )
= $false )
| ( ( v2 @ SV51 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(710,plain,
! [SV62: mworld,SV23: mworld,SV107: mworld] :
( ( ( ~ ( mrel @ mactual @ SV107 )
| ! [SY2075: mworld] :
( ~ ( mrel @ SV107 @ SY2075 )
| ( v4 @ SY2075 ) ) )
= $true )
| ( ( mrel @ mactual @ SV23 )
= $false )
| ( ( v2 @ SV62 )
= $true )
| ( ( mrel @ SV23 @ SV62 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(711,plain,
! [SV92: mworld,SV52: mworld] :
( ( ( ~ ( mrel @ SV52 @ SV92 ) )
= $true )
| ( ( ~ ( v2 @ SV92 ) )
= $true )
| ( ( mrel @ mactual @ SV52 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(712,plain,
! [SV24: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ mactual @ SV93 ) )
= $true )
| ( ( ! [SY2064: mworld] :
( ~ ( mrel @ SV93 @ SY2064 )
| ( v4 @ SY2064 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( v2 @ SV24 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(713,plain,
! [SV38: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ mactual @ SV94 ) )
= $true )
| ( ( ! [SY2065: mworld] :
( ~ ( mrel @ SV94 @ SY2065 )
| ( v3 @ SY2065 ) ) )
= $true )
| ( ( mrel @ mactual @ SV38 )
= $false )
| ( ( v3 @ SV38 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(714,plain,
! [SV95: mworld,SV53: mworld] :
( ( ( ~ ( mrel @ SV53 @ SV95 ) )
= $true )
| ( ( ~ ( v1 @ SV95 ) )
= $true )
| ( ( mrel @ mactual @ SV53 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[664]) ).
thf(715,plain,
! [SV78: mworld,SV39: mworld] :
( ( ( mrel @ SV39 @ SV78 )
= $false )
| ( ( ~ ( v4 @ SV78 ) )
= $true )
| ( ( mrel @ mactual @ SV39 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(716,plain,
! [SV25: mworld,SV79: mworld] :
( ( ( mrel @ mactual @ SV79 )
= $false )
| ( ( ~ ( v4 @ SV79 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ SV25 )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(717,plain,
! [SV80: mworld,SV40: mworld] :
( ( ( mrel @ SV40 @ SV80 )
= $false )
| ( ( v1 @ SV80 )
= $true )
| ( ( mrel @ mactual @ SV40 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(718,plain,
! [SV8: mworld,SV81: mworld] :
( ( ( mrel @ mactual @ SV81 )
= $false )
| ( ( ! [SY2055: mworld] :
( ~ ( mrel @ SV81 @ SY2055 )
| ( v4 @ SY2055 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( v1 @ SV8 )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(719,plain,
! [SV41: mworld,SV82: mworld] :
( ( ( mrel @ mactual @ SV82 )
= $false )
| ( ( ! [SY2056: mworld] :
( ~ ( mrel @ SV82 @ SY2056 )
| ( v2 @ SY2056 ) ) )
= $true )
| ( ( v1 @ SV41 )
= $true )
| ( ( mrel @ mactual @ SV41 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(720,plain,
! [SV26: mworld,SV83: mworld] :
( ( ( mrel @ mactual @ SV83 )
= $false )
| ( ( ~ ( v1 @ SV83 ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV26 )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(721,plain,
! [SV27: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ mactual @ SV96 ) )
= $true )
| ( ( ! [SY2066: mworld] :
( ~ ( mrel @ SV96 @ SY2066 )
| ( v4 @ SY2066 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( v4 @ SV27 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(722,plain,
! [SV63: mworld,SV28: mworld,SV108: mworld] :
( ( ( ~ ( mrel @ mactual @ SV108 )
| ! [SY2076: mworld] :
( ~ ( mrel @ SV108 @ SY2076 )
| ( v4 @ SY2076 ) ) )
= $true )
| ( ( mrel @ mactual @ SV28 )
= $false )
| ( ( v3 @ SV63 )
= $true )
| ( ( mrel @ SV28 @ SV63 )
= $false )
| ( ( v3 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(723,plain,
! [SV84: mworld,SV42: mworld] :
( ( ( mrel @ SV42 @ SV84 )
= $false )
| ( ( v1 @ SV84 )
= $true )
| ( ( mrel @ mactual @ SV42 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(724,plain,
! [SV9: mworld,SV109: mworld,SV64: mworld] :
( ( ( ~ ( mrel @ SV64 @ SV109 )
| ( v4 @ SV109 ) )
= $true )
| ( ( mrel @ mactual @ SV64 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ SV9 )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(725,plain,
! [SV65: mworld,SV29: mworld,SV110: mworld] :
( ( ( ~ ( mrel @ mactual @ SV110 )
| ! [SY2077: mworld] :
( ~ ( mrel @ SV110 @ SY2077 )
| ~ ( v4 @ SY2077 ) ) )
= $true )
| ( ( mrel @ mactual @ SV29 )
= $false )
| ( ( v1 @ SV65 )
= $true )
| ( ( mrel @ SV29 @ SV65 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(726,plain,
! [SV43: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ mactual @ SV97 ) )
= $true )
| ( ( ! [SY2067: mworld] :
( ~ ( mrel @ SV97 @ SY2067 )
| ~ ( v1 @ SY2067 ) ) )
= $true )
| ( ( mrel @ mactual @ SV43 )
= $false )
| ( ( v1 @ SV43 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(727,plain,
! [SV10: mworld,SV111: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV111 )
| ( v2 @ SV111 ) )
= $true )
| ( ( mrel @ mactual @ SV66 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV10 )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(728,plain,
! [SV30: mworld,SV85: mworld] :
( ( ( mrel @ mactual @ SV85 )
= $false )
| ( ( ! [SY2057: mworld] :
( ~ ( mrel @ SV85 @ SY2057 )
| ( v3 @ SY2057 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV30 )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(729,plain,
! [SV44: mworld,SV86: mworld] :
( ( ( mrel @ mactual @ SV86 )
= $false )
| ( ( ! [SY2058: mworld] :
( ~ ( mrel @ SV86 @ SY2058 )
| ~ ( v2 @ SY2058 ) ) )
= $true )
| ( ( v1 @ SV44 )
= $true )
| ( ( mrel @ mactual @ SV44 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(730,plain,
! [SV11: mworld,SV67: mworld] :
( ( ( v1 @ SV67 )
= $false )
| ( ( mrel @ mactual @ SV67 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV11 )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(731,plain,
! [SV31: mworld,SV87: mworld] :
( ( ( mrel @ mactual @ SV87 )
= $false )
| ( ( ! [SY2059: mworld] :
( ~ ( mrel @ SV87 @ SY2059 )
| ( v2 @ SY2059 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ SV31 )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(732,plain,
! [SV98: mworld,SV54: mworld] :
( ( ( ~ ( mrel @ SV54 @ SV98 ) )
= $true )
| ( ( v1 @ SV98 )
= $true )
| ( ( mrel @ mactual @ SV54 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(733,plain,
! [SV45: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ mactual @ SV99 ) )
= $true )
| ( ( ! [SY2068: mworld] :
( ~ ( mrel @ SV99 @ SY2068 )
| ( v3 @ SY2068 ) ) )
= $true )
| ( ( mrel @ mactual @ SV45 )
= $false )
| ( ( v1 @ SV45 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(734,plain,
! [SV46: mworld,SV88: mworld] :
( ( ( mrel @ mactual @ SV88 )
= $false )
| ( ( ! [SY2060: mworld] :
( ~ ( mrel @ SV88 @ SY2060 )
| ~ ( v4 @ SY2060 ) ) )
= $true )
| ( ( v4 @ SV46 )
= $true )
| ( ( mrel @ mactual @ SV46 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(735,plain,
! [SV55: mworld,SV100: mworld] :
( ( ( ~ ( mrel @ mactual @ SV100 ) )
= $true )
| ( ( ! [SY2069: mworld] :
( ~ ( mrel @ SV100 @ SY2069 )
| ~ ( v1 @ SY2069 ) ) )
= $true )
| ( ( v3 @ SV55 )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(736,plain,
! [SV32: mworld,SV68: mworld] :
( ( ( v4 @ SV68 )
= $false )
| ( ( mrel @ SV32 @ SV68 )
= $false )
| ( ( mrel @ mactual @ SV32 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(737,plain,
! [SV12: mworld,SV89: mworld] :
( ( ( mrel @ mactual @ SV89 )
= $false )
| ( ( ! [SY2061: mworld] :
( ~ ( mrel @ SV89 @ SY2061 )
| ( v1 @ SY2061 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( v1 @ SV12 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(738,plain,
! [SV33: mworld,SV69: mworld] :
( ( ( v3 @ SV69 )
= $false )
| ( ( mrel @ SV33 @ SV69 )
= $false )
| ( ( mrel @ mactual @ SV33 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(739,plain,
! [SV47: mworld,SV101: mworld] :
( ( ( ~ ( mrel @ mactual @ SV101 ) )
= $true )
| ( ( ! [SY2070: mworld] :
( ~ ( mrel @ SV101 @ SY2070 )
| ( v4 @ SY2070 ) ) )
= $true )
| ( ( mrel @ mactual @ SV47 )
= $false )
| ( ( v3 @ SV47 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(740,plain,
! [SV4: mworld,SV56: mworld,SV112: mworld] :
( ( ( ~ ( mrel @ mactual @ SV112 )
| ! [SY2078: mworld] :
( ~ ( mrel @ SV112 @ SY2078 )
| ( v4 @ SY2078 ) ) )
= $true )
| ( ( mrel @ mactual @ SV56 )
= $false )
| ( ( v1 @ SV56 )
= $false )
| ( ( v1 @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(741,plain,
! [SV34: mworld,SV70: mworld] :
( ( ( v3 @ SV70 )
= $false )
| ( ( mrel @ SV34 @ SV70 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(742,plain,
! [SV71: mworld,SV35: mworld,SV113: mworld] :
( ( ( ~ ( mrel @ mactual @ SV113 )
| ! [SY2079: mworld] :
( ~ ( mrel @ SV113 @ SY2079 )
| ~ ( v4 @ SY2079 ) ) )
= $true )
| ( ( mrel @ mactual @ SV35 )
= $false )
| ( ( v3 @ SV71 )
= $true )
| ( ( mrel @ SV35 @ SV71 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(743,plain,
! [SV14: mworld,SV90: mworld] :
( ( ( mrel @ mactual @ SV90 )
= $false )
| ( ( ! [SY2062: mworld] :
( ~ ( mrel @ SV90 @ SY2062 )
| ~ ( v2 @ SY2062 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(744,plain,
! [SV58: mworld,SV15: mworld,SV114: mworld] :
( ( ( ~ ( mrel @ mactual @ SV114 )
| ! [SY2080: mworld] :
( ~ ( mrel @ SV114 @ SY2080 )
| ( v4 @ SY2080 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(745,plain,
! [SV16: mworld,SV115: mworld,SV72: mworld] :
( ( ( ~ ( mrel @ SV72 @ SV115 )
| ( v2 @ SV115 ) )
= $true )
| ( ( mrel @ mactual @ SV72 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV16 )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(746,plain,
! [SV17: mworld,SV116: mworld,SV73: mworld] :
( ( ( ~ ( mrel @ SV73 @ SV116 )
| ( v1 @ SV116 ) )
= $true )
| ( ( mrel @ mactual @ SV73 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false )
| ( ( v3 @ SV17 )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(747,plain,
! [SV59: mworld,SV18: mworld,SV117: mworld] :
( ( ( ~ ( mrel @ mactual @ SV117 )
| ! [SY2081: mworld] :
( ~ ( mrel @ SV117 @ SY2081 )
| ( v4 @ SY2081 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(748,plain,
! [SV6: mworld,SV118: mworld,SV74: mworld] :
( ( ( ~ ( mrel @ SV74 @ SV118 )
| ( v3 @ SV118 ) )
= $true )
| ( ( mrel @ mactual @ SV74 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( v1 @ SV6 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(749,plain,
! [SV48: mworld,SV102: mworld] :
( ( ( ~ ( mrel @ mactual @ SV102 ) )
= $true )
| ( ( ! [SY2071: mworld] :
( ~ ( mrel @ SV102 @ SY2071 )
| ~ ( v1 @ SY2071 ) ) )
= $true )
| ( ( mrel @ mactual @ SV48 )
= $false )
| ( ( v4 @ SV48 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[700]) ).
thf(750,plain,
! [SV49: mworld,SV103: mworld] :
( ( ( ~ ( mrel @ mactual @ SV103 ) )
= $true )
| ( ( ! [SY2072: mworld] :
( ~ ( mrel @ SV103 @ SY2072 )
| ( v4 @ SY2072 ) ) )
= $true )
| ( ( mrel @ mactual @ SV49 )
= $false )
| ( ( v4 @ SV49 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(751,plain,
! [SV19: mworld,SV104: mworld,SV60: mworld] :
( ( ( ~ ( mrel @ SV60 @ SV104 ) )
= $true )
| ( ( v1 @ SV104 )
= $true )
| ( ( mrel @ mactual @ SV60 )
= $false )
| ( ( v2 @ SV19 )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(752,plain,
! [SV20: mworld,SV119: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV119 )
| ( v2 @ SV119 ) )
= $true )
| ( ( mrel @ mactual @ SV75 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false )
| ( ( v2 @ SV20 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(753,plain,
! [SV21: mworld,SV120: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ SV120 )
| ~ ( v1 @ SV120 ) )
= $true )
| ( ( mrel @ mactual @ SV76 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false )
| ( ( v1 @ SV21 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(754,plain,
! [SV50: mworld,SV7: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ mactual @ SV105 ) )
= $true )
| ( ( ! [SY2073: mworld] :
( ~ ( mrel @ SV105 @ SY2073 )
| ~ ( v3 @ SY2073 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(755,plain,
! [SV36: mworld,SV91: mworld] :
( ( ( mrel @ mactual @ SV91 )
= $false )
| ( ( ! [SY2063: mworld] :
( ~ ( mrel @ SV91 @ SY2063 )
| ~ ( v1 @ SY2063 ) ) )
= $true )
| ( ( mrel @ mactual @ SV36 )
= $false )
| ( ( v1 @ SV36 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(756,plain,
! [SV77: mworld,SV37: mworld,SV121: mworld] :
( ( ( ~ ( mrel @ mactual @ SV121 )
| ! [SY2082: mworld] :
( ~ ( mrel @ SV121 @ SY2082 )
| ~ ( v3 @ SY2082 ) ) )
= $true )
| ( ( mrel @ mactual @ SV37 )
= $false )
| ( ( v4 @ SV77 )
= $true )
| ( ( mrel @ SV37 @ SV77 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(757,plain,
! [SV51: mworld,SV106: mworld] :
( ( ( ~ ( mrel @ mactual @ SV106 ) )
= $true )
| ( ( ! [SY2074: mworld] :
( ~ ( mrel @ SV106 @ SY2074 )
| ( v3 @ SY2074 ) ) )
= $true )
| ( ( mrel @ mactual @ SV51 )
= $false )
| ( ( v2 @ SV51 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(758,plain,
! [SV62: mworld,SV23: mworld,SV107: mworld] :
( ( ( ~ ( mrel @ mactual @ SV107 ) )
= $true )
| ( ( ! [SY2075: mworld] :
( ~ ( mrel @ SV107 @ SY2075 )
| ( v4 @ SY2075 ) ) )
= $true )
| ( ( mrel @ mactual @ SV23 )
= $false )
| ( ( v2 @ SV62 )
= $true )
| ( ( mrel @ SV23 @ SV62 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(759,plain,
! [SV92: mworld,SV52: mworld] :
( ( ( mrel @ SV52 @ SV92 )
= $false )
| ( ( ~ ( v2 @ SV92 ) )
= $true )
| ( ( mrel @ mactual @ SV52 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(760,plain,
! [SV24: mworld,SV93: mworld] :
( ( ( mrel @ mactual @ SV93 )
= $false )
| ( ( ! [SY2064: mworld] :
( ~ ( mrel @ SV93 @ SY2064 )
| ( v4 @ SY2064 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( v2 @ SV24 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(761,plain,
! [SV38: mworld,SV94: mworld] :
( ( ( mrel @ mactual @ SV94 )
= $false )
| ( ( ! [SY2065: mworld] :
( ~ ( mrel @ SV94 @ SY2065 )
| ( v3 @ SY2065 ) ) )
= $true )
| ( ( mrel @ mactual @ SV38 )
= $false )
| ( ( v3 @ SV38 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(762,plain,
! [SV95: mworld,SV53: mworld] :
( ( ( mrel @ SV53 @ SV95 )
= $false )
| ( ( ~ ( v1 @ SV95 ) )
= $true )
| ( ( mrel @ mactual @ SV53 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(763,plain,
! [SV39: mworld,SV78: mworld] :
( ( ( v4 @ SV78 )
= $false )
| ( ( mrel @ SV39 @ SV78 )
= $false )
| ( ( mrel @ mactual @ SV39 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(764,plain,
! [SV25: mworld,SV79: mworld] :
( ( ( v4 @ SV79 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ SV25 )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(765,plain,
! [SV80: mworld,SV40: mworld,SV122: mworld] :
( ( ( ~ ( mrel @ mactual @ SV122 )
| ! [SY2083: mworld] :
( ~ ( mrel @ SV122 @ SY2083 )
| ( v2 @ SY2083 ) ) )
= $true )
| ( ( mrel @ mactual @ SV40 )
= $false )
| ( ( v1 @ SV80 )
= $true )
| ( ( mrel @ SV40 @ SV80 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(766,plain,
! [SV8: mworld,SV123: mworld,SV81: mworld] :
( ( ( ~ ( mrel @ SV81 @ SV123 )
| ( v4 @ SV123 ) )
= $true )
| ( ( mrel @ mactual @ SV81 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( v1 @ SV8 )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(767,plain,
! [SV41: mworld,SV124: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ SV82 @ SV124 )
| ( v2 @ SV124 ) )
= $true )
| ( ( mrel @ mactual @ SV82 )
= $false )
| ( ( v1 @ SV41 )
= $true )
| ( ( mrel @ mactual @ SV41 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(768,plain,
! [SV26: mworld,SV83: mworld] :
( ( ( v1 @ SV83 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v1 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV26 )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(769,plain,
! [SV27: mworld,SV96: mworld] :
( ( ( mrel @ mactual @ SV96 )
= $false )
| ( ( ! [SY2066: mworld] :
( ~ ( mrel @ SV96 @ SY2066 )
| ( v4 @ SY2066 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( v4 @ SV27 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(770,plain,
! [SV63: mworld,SV28: mworld,SV108: mworld] :
( ( ( ~ ( mrel @ mactual @ SV108 ) )
= $true )
| ( ( ! [SY2076: mworld] :
( ~ ( mrel @ SV108 @ SY2076 )
| ( v4 @ SY2076 ) ) )
= $true )
| ( ( mrel @ mactual @ SV28 )
= $false )
| ( ( v3 @ SV63 )
= $true )
| ( ( mrel @ SV28 @ SV63 )
= $false )
| ( ( v3 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[722]) ).
thf(771,plain,
! [SV84: mworld,SV42: mworld,SV125: mworld] :
( ( ( ~ ( mrel @ mactual @ SV125 )
| ! [SY2084: mworld] :
( ~ ( mrel @ SV125 @ SY2084 )
| ( v4 @ SY2084 ) ) )
= $true )
| ( ( mrel @ mactual @ SV42 )
= $false )
| ( ( v1 @ SV84 )
= $true )
| ( ( mrel @ SV42 @ SV84 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(772,plain,
! [SV9: mworld,SV109: mworld,SV64: mworld] :
( ( ( ~ ( mrel @ SV64 @ SV109 ) )
= $true )
| ( ( v4 @ SV109 )
= $true )
| ( ( mrel @ mactual @ SV64 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ SV9 )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[724]) ).
thf(773,plain,
! [SV65: mworld,SV29: mworld,SV110: mworld] :
( ( ( ~ ( mrel @ mactual @ SV110 ) )
= $true )
| ( ( ! [SY2077: mworld] :
( ~ ( mrel @ SV110 @ SY2077 )
| ~ ( v4 @ SY2077 ) ) )
= $true )
| ( ( mrel @ mactual @ SV29 )
= $false )
| ( ( v1 @ SV65 )
= $true )
| ( ( mrel @ SV29 @ SV65 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(774,plain,
! [SV43: mworld,SV97: mworld] :
( ( ( mrel @ mactual @ SV97 )
= $false )
| ( ( ! [SY2067: mworld] :
( ~ ( mrel @ SV97 @ SY2067 )
| ~ ( v1 @ SY2067 ) ) )
= $true )
| ( ( mrel @ mactual @ SV43 )
= $false )
| ( ( v1 @ SV43 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(775,plain,
! [SV10: mworld,SV111: mworld,SV66: mworld] :
( ( ( ~ ( mrel @ SV66 @ SV111 ) )
= $true )
| ( ( v2 @ SV111 )
= $true )
| ( ( mrel @ mactual @ SV66 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV10 )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[727]) ).
thf(776,plain,
! [SV30: mworld,SV126: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ SV126 )
| ( v3 @ SV126 ) )
= $true )
| ( ( mrel @ mactual @ SV85 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV30 )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(777,plain,
! [SV44: mworld,SV127: mworld,SV86: mworld] :
( ( ( ~ ( mrel @ SV86 @ SV127 )
| ~ ( v2 @ SV127 ) )
= $true )
| ( ( mrel @ mactual @ SV86 )
= $false )
| ( ( v1 @ SV44 )
= $true )
| ( ( mrel @ mactual @ SV44 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(778,plain,
! [SV11: mworld,SV67: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ mactual @ SV128 )
| ! [SY2085: mworld] :
( ~ ( mrel @ SV128 @ SY2085 )
| ~ ( v1 @ SY2085 ) ) )
= $true )
| ( ( mrel @ mactual @ SV67 )
= $false )
| ( ( v1 @ SV67 )
= $false )
| ( ( v1 @ SV11 )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(779,plain,
! [SV31: mworld,SV129: mworld,SV87: mworld] :
( ( ( ~ ( mrel @ SV87 @ SV129 )
| ( v2 @ SV129 ) )
= $true )
| ( ( mrel @ mactual @ SV87 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ SV31 )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(780,plain,
! [SV98: mworld,SV54: mworld] :
( ( ( mrel @ SV54 @ SV98 )
= $false )
| ( ( v1 @ SV98 )
= $true )
| ( ( mrel @ mactual @ SV54 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(781,plain,
! [SV45: mworld,SV99: mworld] :
( ( ( mrel @ mactual @ SV99 )
= $false )
| ( ( ! [SY2068: mworld] :
( ~ ( mrel @ SV99 @ SY2068 )
| ( v3 @ SY2068 ) ) )
= $true )
| ( ( mrel @ mactual @ SV45 )
= $false )
| ( ( v1 @ SV45 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(782,plain,
! [SV46: mworld,SV130: mworld,SV88: mworld] :
( ( ( ~ ( mrel @ SV88 @ SV130 )
| ~ ( v4 @ SV130 ) )
= $true )
| ( ( mrel @ mactual @ SV88 )
= $false )
| ( ( v4 @ SV46 )
= $true )
| ( ( mrel @ mactual @ SV46 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(783,plain,
! [SV55: mworld,SV100: mworld] :
( ( ( mrel @ mactual @ SV100 )
= $false )
| ( ( ! [SY2069: mworld] :
( ~ ( mrel @ SV100 @ SY2069 )
| ~ ( v1 @ SY2069 ) ) )
= $true )
| ( ( v3 @ SV55 )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(784,plain,
! [SV12: mworld,SV131: mworld,SV89: mworld] :
( ( ( ~ ( mrel @ SV89 @ SV131 )
| ( v1 @ SV131 ) )
= $true )
| ( ( mrel @ mactual @ SV89 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( v1 @ SV12 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(785,plain,
! [SV47: mworld,SV101: mworld] :
( ( ( mrel @ mactual @ SV101 )
= $false )
| ( ( ! [SY2070: mworld] :
( ~ ( mrel @ SV101 @ SY2070 )
| ( v4 @ SY2070 ) ) )
= $true )
| ( ( mrel @ mactual @ SV47 )
= $false )
| ( ( v3 @ SV47 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(786,plain,
! [SV4: mworld,SV56: mworld,SV112: mworld] :
( ( ( ~ ( mrel @ mactual @ SV112 ) )
= $true )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV112 @ SY2078 )
| ( v4 @ SY2078 ) ) )
= $true )
| ( ( mrel @ mactual @ SV56 )
= $false )
| ( ( v1 @ SV56 )
= $false )
| ( ( v1 @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(787,plain,
! [SV70: mworld,SV34: mworld,SV132: mworld] :
( ( ( ~ ( mrel @ mactual @ SV132 )
| ! [SY2086: mworld] :
( ~ ( mrel @ SV132 @ SY2086 )
| ~ ( v4 @ SY2086 ) ) )
= $true )
| ( ( mrel @ mactual @ SV34 )
= $false )
| ( ( mrel @ SV34 @ SV70 )
= $false )
| ( ( v3 @ SV70 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(788,plain,
! [SV71: mworld,SV35: mworld,SV113: mworld] :
( ( ( ~ ( mrel @ mactual @ SV113 ) )
= $true )
| ( ( ! [SY2079: mworld] :
( ~ ( mrel @ SV113 @ SY2079 )
| ~ ( v4 @ SY2079 ) ) )
= $true )
| ( ( mrel @ mactual @ SV35 )
= $false )
| ( ( v3 @ SV71 )
= $true )
| ( ( mrel @ SV35 @ SV71 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(789,plain,
! [SV14: mworld,SV133: mworld,SV90: mworld] :
( ( ( ~ ( mrel @ SV90 @ SV133 )
| ~ ( v2 @ SV133 ) )
= $true )
| ( ( mrel @ mactual @ SV90 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(790,plain,
! [SV58: mworld,SV15: mworld,SV114: mworld] :
( ( ( ~ ( mrel @ mactual @ SV114 ) )
= $true )
| ( ( ! [SY2080: mworld] :
( ~ ( mrel @ SV114 @ SY2080 )
| ( v4 @ SY2080 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(791,plain,
! [SV16: mworld,SV115: mworld,SV72: mworld] :
( ( ( ~ ( mrel @ SV72 @ SV115 ) )
= $true )
| ( ( v2 @ SV115 )
= $true )
| ( ( mrel @ mactual @ SV72 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV16 )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(792,plain,
! [SV17: mworld,SV116: mworld,SV73: mworld] :
( ( ( ~ ( mrel @ SV73 @ SV116 ) )
= $true )
| ( ( v1 @ SV116 )
= $true )
| ( ( mrel @ mactual @ SV73 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false )
| ( ( v3 @ SV17 )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(793,plain,
! [SV59: mworld,SV18: mworld,SV117: mworld] :
( ( ( ~ ( mrel @ mactual @ SV117 ) )
= $true )
| ( ( ! [SY2081: mworld] :
( ~ ( mrel @ SV117 @ SY2081 )
| ( v4 @ SY2081 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[747]) ).
thf(794,plain,
! [SV6: mworld,SV118: mworld,SV74: mworld] :
( ( ( ~ ( mrel @ SV74 @ SV118 ) )
= $true )
| ( ( v3 @ SV118 )
= $true )
| ( ( mrel @ mactual @ SV74 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( v1 @ SV6 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(795,plain,
! [SV48: mworld,SV102: mworld] :
( ( ( mrel @ mactual @ SV102 )
= $false )
| ( ( ! [SY2071: mworld] :
( ~ ( mrel @ SV102 @ SY2071 )
| ~ ( v1 @ SY2071 ) ) )
= $true )
| ( ( mrel @ mactual @ SV48 )
= $false )
| ( ( v4 @ SV48 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(796,plain,
! [SV49: mworld,SV103: mworld] :
( ( ( mrel @ mactual @ SV103 )
= $false )
| ( ( ! [SY2072: mworld] :
( ~ ( mrel @ SV103 @ SY2072 )
| ( v4 @ SY2072 ) ) )
= $true )
| ( ( mrel @ mactual @ SV49 )
= $false )
| ( ( v4 @ SV49 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(797,plain,
! [SV19: mworld,SV104: mworld,SV60: mworld] :
( ( ( mrel @ SV60 @ SV104 )
= $false )
| ( ( v1 @ SV104 )
= $true )
| ( ( mrel @ mactual @ SV60 )
= $false )
| ( ( v2 @ SV19 )
= $true )
| ( ( mrel @ mactual @ SV19 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(798,plain,
! [SV20: mworld,SV119: mworld,SV75: mworld] :
( ( ( ~ ( mrel @ SV75 @ SV119 ) )
= $true )
| ( ( v2 @ SV119 )
= $true )
| ( ( mrel @ mactual @ SV75 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false )
| ( ( v2 @ SV20 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(799,plain,
! [SV21: mworld,SV120: mworld,SV76: mworld] :
( ( ( ~ ( mrel @ SV76 @ SV120 ) )
= $true )
| ( ( ~ ( v1 @ SV120 ) )
= $true )
| ( ( mrel @ mactual @ SV76 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false )
| ( ( v1 @ SV21 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(800,plain,
! [SV50: mworld,SV7: mworld,SV105: mworld] :
( ( ( mrel @ mactual @ SV105 )
= $false )
| ( ( ! [SY2073: mworld] :
( ~ ( mrel @ SV105 @ SY2073 )
| ~ ( v3 @ SY2073 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(801,plain,
! [SV36: mworld,SV134: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ SV134 )
| ~ ( v1 @ SV134 ) )
= $true )
| ( ( mrel @ mactual @ SV91 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false )
| ( ( v1 @ SV36 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(802,plain,
! [SV77: mworld,SV37: mworld,SV121: mworld] :
( ( ( ~ ( mrel @ mactual @ SV121 ) )
= $true )
| ( ( ! [SY2082: mworld] :
( ~ ( mrel @ SV121 @ SY2082 )
| ~ ( v3 @ SY2082 ) ) )
= $true )
| ( ( mrel @ mactual @ SV37 )
= $false )
| ( ( v4 @ SV77 )
= $true )
| ( ( mrel @ SV37 @ SV77 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(803,plain,
! [SV51: mworld,SV106: mworld] :
( ( ( mrel @ mactual @ SV106 )
= $false )
| ( ( ! [SY2074: mworld] :
( ~ ( mrel @ SV106 @ SY2074 )
| ( v3 @ SY2074 ) ) )
= $true )
| ( ( mrel @ mactual @ SV51 )
= $false )
| ( ( v2 @ SV51 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(804,plain,
! [SV62: mworld,SV23: mworld,SV107: mworld] :
( ( ( mrel @ mactual @ SV107 )
= $false )
| ( ( ! [SY2075: mworld] :
( ~ ( mrel @ SV107 @ SY2075 )
| ( v4 @ SY2075 ) ) )
= $true )
| ( ( mrel @ mactual @ SV23 )
= $false )
| ( ( v2 @ SV62 )
= $true )
| ( ( mrel @ SV23 @ SV62 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(805,plain,
! [SV52: mworld,SV92: mworld] :
( ( ( v2 @ SV92 )
= $false )
| ( ( mrel @ SV52 @ SV92 )
= $false )
| ( ( mrel @ mactual @ SV52 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(806,plain,
! [SV24: mworld,SV135: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ SV135 )
| ( v4 @ SV135 ) )
= $true )
| ( ( mrel @ mactual @ SV93 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( v2 @ SV24 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(807,plain,
! [SV38: mworld,SV136: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV136 )
| ( v3 @ SV136 ) )
= $true )
| ( ( mrel @ mactual @ SV94 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false )
| ( ( v3 @ SV38 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(808,plain,
! [SV53: mworld,SV95: mworld] :
( ( ( v1 @ SV95 )
= $false )
| ( ( mrel @ SV53 @ SV95 )
= $false )
| ( ( mrel @ mactual @ SV53 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(809,plain,
! [SV25: mworld,SV79: mworld,SV137: mworld] :
( ( ( ~ ( mrel @ mactual @ SV137 )
| ! [SY2087: mworld] :
( ~ ( mrel @ SV137 @ SY2087 )
| ( v3 @ SY2087 ) ) )
= $true )
| ( ( mrel @ mactual @ SV79 )
= $false )
| ( ( v4 @ SV79 )
= $false )
| ( ( v3 @ SV25 )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[764]) ).
thf(810,plain,
! [SV80: mworld,SV40: mworld,SV122: mworld] :
( ( ( ~ ( mrel @ mactual @ SV122 ) )
= $true )
| ( ( ! [SY2083: mworld] :
( ~ ( mrel @ SV122 @ SY2083 )
| ( v2 @ SY2083 ) ) )
= $true )
| ( ( mrel @ mactual @ SV40 )
= $false )
| ( ( v1 @ SV80 )
= $true )
| ( ( mrel @ SV40 @ SV80 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(811,plain,
! [SV8: mworld,SV123: mworld,SV81: mworld] :
( ( ( ~ ( mrel @ SV81 @ SV123 ) )
= $true )
| ( ( v4 @ SV123 )
= $true )
| ( ( mrel @ mactual @ SV81 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( v1 @ SV8 )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(812,plain,
! [SV41: mworld,SV124: mworld,SV82: mworld] :
( ( ( ~ ( mrel @ SV82 @ SV124 ) )
= $true )
| ( ( v2 @ SV124 )
= $true )
| ( ( mrel @ mactual @ SV82 )
= $false )
| ( ( v1 @ SV41 )
= $true )
| ( ( mrel @ mactual @ SV41 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[767]) ).
thf(813,plain,
! [SV26: mworld,SV83: mworld,SV138: mworld] :
( ( ( ~ ( mrel @ mactual @ SV138 )
| ! [SY2088: mworld] :
( ~ ( mrel @ SV138 @ SY2088 )
| ( v1 @ SY2088 ) ) )
= $true )
| ( ( mrel @ mactual @ SV83 )
= $false )
| ( ( v1 @ SV83 )
= $false )
| ( ( v4 @ SV26 )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(814,plain,
! [SV27: mworld,SV139: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV139 )
| ( v4 @ SV139 ) )
= $true )
| ( ( mrel @ mactual @ SV96 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( v4 @ SV27 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(815,plain,
! [SV63: mworld,SV28: mworld,SV108: mworld] :
( ( ( mrel @ mactual @ SV108 )
= $false )
| ( ( ! [SY2076: mworld] :
( ~ ( mrel @ SV108 @ SY2076 )
| ( v4 @ SY2076 ) ) )
= $true )
| ( ( mrel @ mactual @ SV28 )
= $false )
| ( ( v3 @ SV63 )
= $true )
| ( ( mrel @ SV28 @ SV63 )
= $false )
| ( ( v3 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(816,plain,
! [SV84: mworld,SV42: mworld,SV125: mworld] :
( ( ( ~ ( mrel @ mactual @ SV125 ) )
= $true )
| ( ( ! [SY2084: mworld] :
( ~ ( mrel @ SV125 @ SY2084 )
| ( v4 @ SY2084 ) ) )
= $true )
| ( ( mrel @ mactual @ SV42 )
= $false )
| ( ( v1 @ SV84 )
= $true )
| ( ( mrel @ SV42 @ SV84 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(817,plain,
! [SV9: mworld,SV109: mworld,SV64: mworld] :
( ( ( mrel @ SV64 @ SV109 )
= $false )
| ( ( v4 @ SV109 )
= $true )
| ( ( mrel @ mactual @ SV64 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( v2 @ SV9 )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(818,plain,
! [SV65: mworld,SV29: mworld,SV110: mworld] :
( ( ( mrel @ mactual @ SV110 )
= $false )
| ( ( ! [SY2077: mworld] :
( ~ ( mrel @ SV110 @ SY2077 )
| ~ ( v4 @ SY2077 ) ) )
= $true )
| ( ( mrel @ mactual @ SV29 )
= $false )
| ( ( v1 @ SV65 )
= $true )
| ( ( mrel @ SV29 @ SV65 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(819,plain,
! [SV43: mworld,SV140: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ SV140 )
| ~ ( v1 @ SV140 ) )
= $true )
| ( ( mrel @ mactual @ SV97 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false )
| ( ( v1 @ SV43 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(820,plain,
! [SV10: mworld,SV111: mworld,SV66: mworld] :
( ( ( mrel @ SV66 @ SV111 )
= $false )
| ( ( v2 @ SV111 )
= $true )
| ( ( mrel @ mactual @ SV66 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV10 )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(821,plain,
! [SV30: mworld,SV126: mworld,SV85: mworld] :
( ( ( ~ ( mrel @ SV85 @ SV126 ) )
= $true )
| ( ( v3 @ SV126 )
= $true )
| ( ( mrel @ mactual @ SV85 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV30 )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(822,plain,
! [SV44: mworld,SV127: mworld,SV86: mworld] :
( ( ( ~ ( mrel @ SV86 @ SV127 ) )
= $true )
| ( ( ~ ( v2 @ SV127 ) )
= $true )
| ( ( mrel @ mactual @ SV86 )
= $false )
| ( ( v1 @ SV44 )
= $true )
| ( ( mrel @ mactual @ SV44 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(823,plain,
! [SV11: mworld,SV67: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ mactual @ SV128 ) )
= $true )
| ( ( ! [SY2085: mworld] :
( ~ ( mrel @ SV128 @ SY2085 )
| ~ ( v1 @ SY2085 ) ) )
= $true )
| ( ( mrel @ mactual @ SV67 )
= $false )
| ( ( v1 @ SV67 )
= $false )
| ( ( v1 @ SV11 )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(824,plain,
! [SV31: mworld,SV129: mworld,SV87: mworld] :
( ( ( ~ ( mrel @ SV87 @ SV129 ) )
= $true )
| ( ( v2 @ SV129 )
= $true )
| ( ( mrel @ mactual @ SV87 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ SV31 )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(825,plain,
! [SV98: mworld,SV54: mworld,SV141: mworld] :
( ( ( ~ ( mrel @ mactual @ SV141 )
| ! [SY2089: mworld] :
( ~ ( mrel @ SV141 @ SY2089 )
| ( v4 @ SY2089 ) ) )
= $true )
| ( ( mrel @ mactual @ SV54 )
= $false )
| ( ( v1 @ SV98 )
= $true )
| ( ( mrel @ SV54 @ SV98 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(826,plain,
! [SV45: mworld,SV142: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ SV99 @ SV142 )
| ( v3 @ SV142 ) )
= $true )
| ( ( mrel @ mactual @ SV99 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false )
| ( ( v1 @ SV45 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(827,plain,
! [SV46: mworld,SV130: mworld,SV88: mworld] :
( ( ( ~ ( mrel @ SV88 @ SV130 ) )
= $true )
| ( ( ~ ( v4 @ SV130 ) )
= $true )
| ( ( mrel @ mactual @ SV88 )
= $false )
| ( ( v4 @ SV46 )
= $true )
| ( ( mrel @ mactual @ SV46 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[782]) ).
thf(828,plain,
! [SV55: mworld,SV143: mworld,SV100: mworld] :
( ( ( ~ ( mrel @ SV100 @ SV143 )
| ~ ( v1 @ SV143 ) )
= $true )
| ( ( mrel @ mactual @ SV100 )
= $false )
| ( ( v3 @ SV55 )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(829,plain,
! [SV12: mworld,SV131: mworld,SV89: mworld] :
( ( ( ~ ( mrel @ SV89 @ SV131 ) )
= $true )
| ( ( v1 @ SV131 )
= $true )
| ( ( mrel @ mactual @ SV89 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( v1 @ SV12 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[784]) ).
thf(830,plain,
! [SV47: mworld,SV144: mworld,SV101: mworld] :
( ( ( ~ ( mrel @ SV101 @ SV144 )
| ( v4 @ SV144 ) )
= $true )
| ( ( mrel @ mactual @ SV101 )
= $false )
| ( ( mrel @ mactual @ SV47 )
= $false )
| ( ( v3 @ SV47 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(831,plain,
! [SV4: mworld,SV56: mworld,SV112: mworld] :
( ( ( mrel @ mactual @ SV112 )
= $false )
| ( ( ! [SY2078: mworld] :
( ~ ( mrel @ SV112 @ SY2078 )
| ( v4 @ SY2078 ) ) )
= $true )
| ( ( mrel @ mactual @ SV56 )
= $false )
| ( ( v1 @ SV56 )
= $false )
| ( ( v1 @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(832,plain,
! [SV70: mworld,SV34: mworld,SV132: mworld] :
( ( ( ~ ( mrel @ mactual @ SV132 ) )
= $true )
| ( ( ! [SY2086: mworld] :
( ~ ( mrel @ SV132 @ SY2086 )
| ~ ( v4 @ SY2086 ) ) )
= $true )
| ( ( mrel @ mactual @ SV34 )
= $false )
| ( ( mrel @ SV34 @ SV70 )
= $false )
| ( ( v3 @ SV70 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[787]) ).
thf(833,plain,
! [SV71: mworld,SV35: mworld,SV113: mworld] :
( ( ( mrel @ mactual @ SV113 )
= $false )
| ( ( ! [SY2079: mworld] :
( ~ ( mrel @ SV113 @ SY2079 )
| ~ ( v4 @ SY2079 ) ) )
= $true )
| ( ( mrel @ mactual @ SV35 )
= $false )
| ( ( v3 @ SV71 )
= $true )
| ( ( mrel @ SV35 @ SV71 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[788]) ).
thf(834,plain,
! [SV14: mworld,SV133: mworld,SV90: mworld] :
( ( ( ~ ( mrel @ SV90 @ SV133 ) )
= $true )
| ( ( ~ ( v2 @ SV133 ) )
= $true )
| ( ( mrel @ mactual @ SV90 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(835,plain,
! [SV58: mworld,SV15: mworld,SV114: mworld] :
( ( ( mrel @ mactual @ SV114 )
= $false )
| ( ( ! [SY2080: mworld] :
( ~ ( mrel @ SV114 @ SY2080 )
| ( v4 @ SY2080 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(836,plain,
! [SV16: mworld,SV115: mworld,SV72: mworld] :
( ( ( mrel @ SV72 @ SV115 )
= $false )
| ( ( v2 @ SV115 )
= $true )
| ( ( mrel @ mactual @ SV72 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( v4 @ SV16 )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(837,plain,
! [SV17: mworld,SV116: mworld,SV73: mworld] :
( ( ( mrel @ SV73 @ SV116 )
= $false )
| ( ( v1 @ SV116 )
= $true )
| ( ( mrel @ mactual @ SV73 )
= $false )
| ( ( mrel @ mactual @ SV17 )
= $false )
| ( ( v3 @ SV17 )
= $false )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(838,plain,
! [SV59: mworld,SV18: mworld,SV117: mworld] :
( ( ( mrel @ mactual @ SV117 )
= $false )
| ( ( ! [SY2081: mworld] :
( ~ ( mrel @ SV117 @ SY2081 )
| ( v4 @ SY2081 ) ) )
= $true )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(839,plain,
! [SV6: mworld,SV118: mworld,SV74: mworld] :
( ( ( mrel @ SV74 @ SV118 )
= $false )
| ( ( v3 @ SV118 )
= $true )
| ( ( mrel @ mactual @ SV74 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v2 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( v1 @ SV6 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(840,plain,
! [SV48: mworld,SV145: mworld,SV102: mworld] :
( ( ( ~ ( mrel @ SV102 @ SV145 )
| ~ ( v1 @ SV145 ) )
= $true )
| ( ( mrel @ mactual @ SV102 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false )
| ( ( v4 @ SV48 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(841,plain,
! [SV49: mworld,SV146: mworld,SV103: mworld] :
( ( ( ~ ( mrel @ SV103 @ SV146 )
| ( v4 @ SV146 ) )
= $true )
| ( ( mrel @ mactual @ SV103 )
= $false )
| ( ( mrel @ mactual @ SV49 )
= $false )
| ( ( v4 @ SV49 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(842,plain,
! [SV20: mworld,SV119: mworld,SV75: mworld] :
( ( ( mrel @ SV75 @ SV119 )
= $false )
| ( ( v2 @ SV119 )
= $true )
| ( ( mrel @ mactual @ SV75 )
= $false )
| ( ( mrel @ mactual @ SV20 )
= $false )
| ( ( v2 @ SV20 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(843,plain,
! [SV21: mworld,SV120: mworld,SV76: mworld] :
( ( ( mrel @ SV76 @ SV120 )
= $false )
| ( ( ~ ( v1 @ SV120 ) )
= $true )
| ( ( mrel @ mactual @ SV76 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false )
| ( ( v1 @ SV21 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(844,plain,
! [SV50: mworld,SV7: mworld,SV147: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV147 )
| ~ ( v3 @ SV147 ) )
= $true )
| ( ( mrel @ mactual @ SV105 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[800]) ).
thf(845,plain,
! [SV36: mworld,SV134: mworld,SV91: mworld] :
( ( ( ~ ( mrel @ SV91 @ SV134 ) )
= $true )
| ( ( ~ ( v1 @ SV134 ) )
= $true )
| ( ( mrel @ mactual @ SV91 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false )
| ( ( v1 @ SV36 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[801]) ).
thf(846,plain,
! [SV77: mworld,SV37: mworld,SV121: mworld] :
( ( ( mrel @ mactual @ SV121 )
= $false )
| ( ( ! [SY2082: mworld] :
( ~ ( mrel @ SV121 @ SY2082 )
| ~ ( v3 @ SY2082 ) ) )
= $true )
| ( ( mrel @ mactual @ SV37 )
= $false )
| ( ( v4 @ SV77 )
= $true )
| ( ( mrel @ SV37 @ SV77 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(847,plain,
! [SV51: mworld,SV148: mworld,SV106: mworld] :
( ( ( ~ ( mrel @ SV106 @ SV148 )
| ( v3 @ SV148 ) )
= $true )
| ( ( mrel @ mactual @ SV106 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false )
| ( ( v2 @ SV51 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(848,plain,
! [SV62: mworld,SV23: mworld,SV149: mworld,SV107: mworld] :
( ( ( ~ ( mrel @ SV107 @ SV149 )
| ( v4 @ SV149 ) )
= $true )
| ( ( mrel @ mactual @ SV107 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false )
| ( ( v2 @ SV62 )
= $true )
| ( ( mrel @ SV23 @ SV62 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(849,plain,
! [SV24: mworld,SV135: mworld,SV93: mworld] :
( ( ( ~ ( mrel @ SV93 @ SV135 ) )
= $true )
| ( ( v4 @ SV135 )
= $true )
| ( ( mrel @ mactual @ SV93 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( v2 @ SV24 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[806]) ).
thf(850,plain,
! [SV38: mworld,SV136: mworld,SV94: mworld] :
( ( ( ~ ( mrel @ SV94 @ SV136 ) )
= $true )
| ( ( v3 @ SV136 )
= $true )
| ( ( mrel @ mactual @ SV94 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false )
| ( ( v3 @ SV38 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(851,plain,
! [SV95: mworld,SV53: mworld,SV150: mworld] :
( ( ( ~ ( mrel @ mactual @ SV150 )
| ! [SY2090: mworld] :
( ~ ( mrel @ SV150 @ SY2090 )
| ~ ( v3 @ SY2090 ) ) )
= $true )
| ( ( mrel @ mactual @ SV53 )
= $false )
| ( ( mrel @ SV53 @ SV95 )
= $false )
| ( ( v1 @ SV95 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(852,plain,
! [SV25: mworld,SV79: mworld,SV137: mworld] :
( ( ( ~ ( mrel @ mactual @ SV137 ) )
= $true )
| ( ( ! [SY2087: mworld] :
( ~ ( mrel @ SV137 @ SY2087 )
| ( v3 @ SY2087 ) ) )
= $true )
| ( ( mrel @ mactual @ SV79 )
= $false )
| ( ( v4 @ SV79 )
= $false )
| ( ( v3 @ SV25 )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(853,plain,
! [SV80: mworld,SV40: mworld,SV122: mworld] :
( ( ( mrel @ mactual @ SV122 )
= $false )
| ( ( ! [SY2083: mworld] :
( ~ ( mrel @ SV122 @ SY2083 )
| ( v2 @ SY2083 ) ) )
= $true )
| ( ( mrel @ mactual @ SV40 )
= $false )
| ( ( v1 @ SV80 )
= $true )
| ( ( mrel @ SV40 @ SV80 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(854,plain,
! [SV8: mworld,SV123: mworld,SV81: mworld] :
( ( ( mrel @ SV81 @ SV123 )
= $false )
| ( ( v4 @ SV123 )
= $true )
| ( ( mrel @ mactual @ SV81 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( v1 @ SV8 )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(855,plain,
! [SV41: mworld,SV124: mworld,SV82: mworld] :
( ( ( mrel @ SV82 @ SV124 )
= $false )
| ( ( v2 @ SV124 )
= $true )
| ( ( mrel @ mactual @ SV82 )
= $false )
| ( ( v1 @ SV41 )
= $true )
| ( ( mrel @ mactual @ SV41 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(856,plain,
! [SV26: mworld,SV83: mworld,SV138: mworld] :
( ( ( ~ ( mrel @ mactual @ SV138 ) )
= $true )
| ( ( ! [SY2088: mworld] :
( ~ ( mrel @ SV138 @ SY2088 )
| ( v1 @ SY2088 ) ) )
= $true )
| ( ( mrel @ mactual @ SV83 )
= $false )
| ( ( v1 @ SV83 )
= $false )
| ( ( v4 @ SV26 )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(857,plain,
! [SV27: mworld,SV139: mworld,SV96: mworld] :
( ( ( ~ ( mrel @ SV96 @ SV139 ) )
= $true )
| ( ( v4 @ SV139 )
= $true )
| ( ( mrel @ mactual @ SV96 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( v4 @ SV27 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[814]) ).
thf(858,plain,
! [SV63: mworld,SV28: mworld,SV151: mworld,SV108: mworld] :
( ( ( ~ ( mrel @ SV108 @ SV151 )
| ( v4 @ SV151 ) )
= $true )
| ( ( mrel @ mactual @ SV108 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false )
| ( ( v3 @ SV63 )
= $true )
| ( ( mrel @ SV28 @ SV63 )
= $false )
| ( ( v3 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(859,plain,
! [SV84: mworld,SV42: mworld,SV125: mworld] :
( ( ( mrel @ mactual @ SV125 )
= $false )
| ( ( ! [SY2084: mworld] :
( ~ ( mrel @ SV125 @ SY2084 )
| ( v4 @ SY2084 ) ) )
= $true )
| ( ( mrel @ mactual @ SV42 )
= $false )
| ( ( v1 @ SV84 )
= $true )
| ( ( mrel @ SV42 @ SV84 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(860,plain,
! [SV9: mworld,SV109: mworld,SV64: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ mactual @ SV152 )
| ! [SY2091: mworld] :
( ~ ( mrel @ SV152 @ SY2091 )
| ~ ( v2 @ SY2091 ) ) )
= $true )
| ( ( mrel @ mactual @ SV64 )
= $false )
| ( ( v4 @ SV109 )
= $true )
| ( ( mrel @ SV64 @ SV109 )
= $false )
| ( ( v2 @ SV9 )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(861,plain,
! [SV65: mworld,SV29: mworld,SV153: mworld,SV110: mworld] :
( ( ( ~ ( mrel @ SV110 @ SV153 )
| ~ ( v4 @ SV153 ) )
= $true )
| ( ( mrel @ mactual @ SV110 )
= $false )
| ( ( mrel @ mactual @ SV29 )
= $false )
| ( ( v1 @ SV65 )
= $true )
| ( ( mrel @ SV29 @ SV65 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(862,plain,
! [SV43: mworld,SV140: mworld,SV97: mworld] :
( ( ( ~ ( mrel @ SV97 @ SV140 ) )
= $true )
| ( ( ~ ( v1 @ SV140 ) )
= $true )
| ( ( mrel @ mactual @ SV97 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false )
| ( ( v1 @ SV43 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[819]) ).
thf(863,plain,
! [SV10: mworld,SV111: mworld,SV66: mworld,SV154: mworld] :
( ( ( ~ ( mrel @ mactual @ SV154 )
| ! [SY2092: mworld] :
( ~ ( mrel @ SV154 @ SY2092 )
| ( v3 @ SY2092 ) ) )
= $true )
| ( ( mrel @ mactual @ SV66 )
= $false )
| ( ( v2 @ SV111 )
= $true )
| ( ( mrel @ SV66 @ SV111 )
= $false )
| ( ( v4 @ SV10 )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(864,plain,
! [SV30: mworld,SV126: mworld,SV85: mworld] :
( ( ( mrel @ SV85 @ SV126 )
= $false )
| ( ( v3 @ SV126 )
= $true )
| ( ( mrel @ mactual @ SV85 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v1 @ SV30 )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(865,plain,
! [SV44: mworld,SV127: mworld,SV86: mworld] :
( ( ( mrel @ SV86 @ SV127 )
= $false )
| ( ( ~ ( v2 @ SV127 ) )
= $true )
| ( ( mrel @ mactual @ SV86 )
= $false )
| ( ( v1 @ SV44 )
= $true )
| ( ( mrel @ mactual @ SV44 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(866,plain,
! [SV11: mworld,SV67: mworld,SV128: mworld] :
( ( ( mrel @ mactual @ SV128 )
= $false )
| ( ( ! [SY2085: mworld] :
( ~ ( mrel @ SV128 @ SY2085 )
| ~ ( v1 @ SY2085 ) ) )
= $true )
| ( ( mrel @ mactual @ SV67 )
= $false )
| ( ( v1 @ SV67 )
= $false )
| ( ( v1 @ SV11 )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(867,plain,
! [SV31: mworld,SV129: mworld,SV87: mworld] :
( ( ( mrel @ SV87 @ SV129 )
= $false )
| ( ( v2 @ SV129 )
= $true )
| ( ( mrel @ mactual @ SV87 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( v3 @ SV31 )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(868,plain,
! [SV98: mworld,SV54: mworld,SV141: mworld] :
( ( ( ~ ( mrel @ mactual @ SV141 ) )
= $true )
| ( ( ! [SY2089: mworld] :
( ~ ( mrel @ SV141 @ SY2089 )
| ( v4 @ SY2089 ) ) )
= $true )
| ( ( mrel @ mactual @ SV54 )
= $false )
| ( ( v1 @ SV98 )
= $true )
| ( ( mrel @ SV54 @ SV98 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[825]) ).
thf(869,plain,
! [SV45: mworld,SV142: mworld,SV99: mworld] :
( ( ( ~ ( mrel @ SV99 @ SV142 ) )
= $true )
| ( ( v3 @ SV142 )
= $true )
| ( ( mrel @ mactual @ SV99 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false )
| ( ( v1 @ SV45 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(870,plain,
! [SV46: mworld,SV130: mworld,SV88: mworld] :
( ( ( mrel @ SV88 @ SV130 )
= $false )
| ( ( ~ ( v4 @ SV130 ) )
= $true )
| ( ( mrel @ mactual @ SV88 )
= $false )
| ( ( v4 @ SV46 )
= $true )
| ( ( mrel @ mactual @ SV46 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(871,plain,
! [SV55: mworld,SV143: mworld,SV100: mworld] :
( ( ( ~ ( mrel @ SV100 @ SV143 ) )
= $true )
| ( ( ~ ( v1 @ SV143 ) )
= $true )
| ( ( mrel @ mactual @ SV100 )
= $false )
| ( ( v3 @ SV55 )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[828]) ).
thf(872,plain,
! [SV12: mworld,SV131: mworld,SV89: mworld] :
( ( ( mrel @ SV89 @ SV131 )
= $false )
| ( ( v1 @ SV131 )
= $true )
| ( ( mrel @ mactual @ SV89 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( v1 @ SV12 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(873,plain,
! [SV47: mworld,SV144: mworld,SV101: mworld] :
( ( ( ~ ( mrel @ SV101 @ SV144 ) )
= $true )
| ( ( v4 @ SV144 )
= $true )
| ( ( mrel @ mactual @ SV101 )
= $false )
| ( ( mrel @ mactual @ SV47 )
= $false )
| ( ( v3 @ SV47 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[830]) ).
thf(874,plain,
! [SV4: mworld,SV56: mworld,SV155: mworld,SV112: mworld] :
( ( ( ~ ( mrel @ SV112 @ SV155 )
| ( v4 @ SV155 ) )
= $true )
| ( ( mrel @ mactual @ SV112 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false )
| ( ( v1 @ SV56 )
= $false )
| ( ( v1 @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(875,plain,
! [SV70: mworld,SV34: mworld,SV132: mworld] :
( ( ( mrel @ mactual @ SV132 )
= $false )
| ( ( ! [SY2086: mworld] :
( ~ ( mrel @ SV132 @ SY2086 )
| ~ ( v4 @ SY2086 ) ) )
= $true )
| ( ( mrel @ mactual @ SV34 )
= $false )
| ( ( mrel @ SV34 @ SV70 )
= $false )
| ( ( v3 @ SV70 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(876,plain,
! [SV71: mworld,SV35: mworld,SV156: mworld,SV113: mworld] :
( ( ( ~ ( mrel @ SV113 @ SV156 )
| ~ ( v4 @ SV156 ) )
= $true )
| ( ( mrel @ mactual @ SV113 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false )
| ( ( v3 @ SV71 )
= $true )
| ( ( mrel @ SV35 @ SV71 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(877,plain,
! [SV14: mworld,SV133: mworld,SV90: mworld] :
( ( ( mrel @ SV90 @ SV133 )
= $false )
| ( ( ~ ( v2 @ SV133 ) )
= $true )
| ( ( mrel @ mactual @ SV90 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(878,plain,
! [SV58: mworld,SV15: mworld,SV157: mworld,SV114: mworld] :
( ( ( ~ ( mrel @ SV114 @ SV157 )
| ( v4 @ SV157 ) )
= $true )
| ( ( mrel @ mactual @ SV114 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(879,plain,
! [SV16: mworld,SV115: mworld,SV72: mworld,SV158: mworld] :
( ( ( ~ ( mrel @ mactual @ SV158 )
| ! [SY2093: mworld] :
( ~ ( mrel @ SV158 @ SY2093 )
| ~ ( v3 @ SY2093 ) ) )
= $true )
| ( ( mrel @ mactual @ SV72 )
= $false )
| ( ( v2 @ SV115 )
= $true )
| ( ( mrel @ SV72 @ SV115 )
= $false )
| ( ( v4 @ SV16 )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(880,plain,
! [SV59: mworld,SV18: mworld,SV159: mworld,SV117: mworld] :
( ( ( ~ ( mrel @ SV117 @ SV159 )
| ( v4 @ SV159 ) )
= $true )
| ( ( mrel @ mactual @ SV117 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(881,plain,
! [SV6: mworld,SV118: mworld,SV74: mworld,SV160: mworld] :
( ( ( ~ ( mrel @ mactual @ SV160 )
| ! [SY2094: mworld] :
( ~ ( mrel @ SV160 @ SY2094 )
| ~ ( v2 @ SY2094 ) ) )
= $true )
| ( ( mrel @ mactual @ SV74 )
= $false )
| ( ( v3 @ SV118 )
= $true )
| ( ( mrel @ SV74 @ SV118 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( v1 @ SV6 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(882,plain,
! [SV48: mworld,SV145: mworld,SV102: mworld] :
( ( ( ~ ( mrel @ SV102 @ SV145 ) )
= $true )
| ( ( ~ ( v1 @ SV145 ) )
= $true )
| ( ( mrel @ mactual @ SV102 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false )
| ( ( v4 @ SV48 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(883,plain,
! [SV49: mworld,SV146: mworld,SV103: mworld] :
( ( ( ~ ( mrel @ SV103 @ SV146 ) )
= $true )
| ( ( v4 @ SV146 )
= $true )
| ( ( mrel @ mactual @ SV103 )
= $false )
| ( ( mrel @ mactual @ SV49 )
= $false )
| ( ( v4 @ SV49 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(884,plain,
! [SV21: mworld,SV76: mworld,SV120: mworld] :
( ( ( v1 @ SV120 )
= $false )
| ( ( mrel @ SV76 @ SV120 )
= $false )
| ( ( mrel @ mactual @ SV76 )
= $false )
| ( ( mrel @ mactual @ SV21 )
= $false )
| ( ( v1 @ SV21 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(885,plain,
! [SV50: mworld,SV7: mworld,SV147: mworld,SV105: mworld] :
( ( ( ~ ( mrel @ SV105 @ SV147 ) )
= $true )
| ( ( ~ ( v3 @ SV147 ) )
= $true )
| ( ( mrel @ mactual @ SV105 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[844]) ).
thf(886,plain,
! [SV36: mworld,SV134: mworld,SV91: mworld] :
( ( ( mrel @ SV91 @ SV134 )
= $false )
| ( ( ~ ( v1 @ SV134 ) )
= $true )
| ( ( mrel @ mactual @ SV91 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false )
| ( ( v1 @ SV36 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(887,plain,
! [SV77: mworld,SV37: mworld,SV161: mworld,SV121: mworld] :
( ( ( ~ ( mrel @ SV121 @ SV161 )
| ~ ( v3 @ SV161 ) )
= $true )
| ( ( mrel @ mactual @ SV121 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false )
| ( ( v4 @ SV77 )
= $true )
| ( ( mrel @ SV37 @ SV77 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(888,plain,
! [SV51: mworld,SV148: mworld,SV106: mworld] :
( ( ( ~ ( mrel @ SV106 @ SV148 ) )
= $true )
| ( ( v3 @ SV148 )
= $true )
| ( ( mrel @ mactual @ SV106 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false )
| ( ( v2 @ SV51 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[847]) ).
thf(889,plain,
! [SV62: mworld,SV23: mworld,SV149: mworld,SV107: mworld] :
( ( ( ~ ( mrel @ SV107 @ SV149 ) )
= $true )
| ( ( v4 @ SV149 )
= $true )
| ( ( mrel @ mactual @ SV107 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false )
| ( ( v2 @ SV62 )
= $true )
| ( ( mrel @ SV23 @ SV62 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[848]) ).
thf(890,plain,
! [SV24: mworld,SV135: mworld,SV93: mworld] :
( ( ( mrel @ SV93 @ SV135 )
= $false )
| ( ( v4 @ SV135 )
= $true )
| ( ( mrel @ mactual @ SV93 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( v2 @ SV24 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(891,plain,
! [SV38: mworld,SV136: mworld,SV94: mworld] :
( ( ( mrel @ SV94 @ SV136 )
= $false )
| ( ( v3 @ SV136 )
= $true )
| ( ( mrel @ mactual @ SV94 )
= $false )
| ( ( mrel @ mactual @ SV38 )
= $false )
| ( ( v3 @ SV38 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(892,plain,
! [SV95: mworld,SV53: mworld,SV150: mworld] :
( ( ( ~ ( mrel @ mactual @ SV150 ) )
= $true )
| ( ( ! [SY2090: mworld] :
( ~ ( mrel @ SV150 @ SY2090 )
| ~ ( v3 @ SY2090 ) ) )
= $true )
| ( ( mrel @ mactual @ SV53 )
= $false )
| ( ( mrel @ SV53 @ SV95 )
= $false )
| ( ( v1 @ SV95 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[851]) ).
thf(893,plain,
! [SV25: mworld,SV79: mworld,SV137: mworld] :
( ( ( mrel @ mactual @ SV137 )
= $false )
| ( ( ! [SY2087: mworld] :
( ~ ( mrel @ SV137 @ SY2087 )
| ( v3 @ SY2087 ) ) )
= $true )
| ( ( mrel @ mactual @ SV79 )
= $false )
| ( ( v4 @ SV79 )
= $false )
| ( ( v3 @ SV25 )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(894,plain,
! [SV80: mworld,SV40: mworld,SV162: mworld,SV122: mworld] :
( ( ( ~ ( mrel @ SV122 @ SV162 )
| ( v2 @ SV162 ) )
= $true )
| ( ( mrel @ mactual @ SV122 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false )
| ( ( v1 @ SV80 )
= $true )
| ( ( mrel @ SV40 @ SV80 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(895,plain,
! [SV8: mworld,SV123: mworld,SV81: mworld,SV163: mworld] :
( ( ( ~ ( mrel @ mactual @ SV163 )
| ! [SY2095: mworld] :
( ~ ( mrel @ SV163 @ SY2095 )
| ~ ( v1 @ SY2095 ) ) )
= $true )
| ( ( mrel @ mactual @ SV81 )
= $false )
| ( ( v4 @ SV123 )
= $true )
| ( ( mrel @ SV81 @ SV123 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( v1 @ SV8 )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(896,plain,
! [SV26: mworld,SV83: mworld,SV138: mworld] :
( ( ( mrel @ mactual @ SV138 )
= $false )
| ( ( ! [SY2088: mworld] :
( ~ ( mrel @ SV138 @ SY2088 )
| ( v1 @ SY2088 ) ) )
= $true )
| ( ( mrel @ mactual @ SV83 )
= $false )
| ( ( v1 @ SV83 )
= $false )
| ( ( v4 @ SV26 )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(897,plain,
! [SV27: mworld,SV139: mworld,SV96: mworld] :
( ( ( mrel @ SV96 @ SV139 )
= $false )
| ( ( v4 @ SV139 )
= $true )
| ( ( mrel @ mactual @ SV96 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( v4 @ SV27 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(898,plain,
! [SV63: mworld,SV28: mworld,SV151: mworld,SV108: mworld] :
( ( ( ~ ( mrel @ SV108 @ SV151 ) )
= $true )
| ( ( v4 @ SV151 )
= $true )
| ( ( mrel @ mactual @ SV108 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false )
| ( ( v3 @ SV63 )
= $true )
| ( ( mrel @ SV28 @ SV63 )
= $false )
| ( ( v3 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[858]) ).
thf(899,plain,
! [SV84: mworld,SV42: mworld,SV164: mworld,SV125: mworld] :
( ( ( ~ ( mrel @ SV125 @ SV164 )
| ( v4 @ SV164 ) )
= $true )
| ( ( mrel @ mactual @ SV125 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false )
| ( ( v1 @ SV84 )
= $true )
| ( ( mrel @ SV42 @ SV84 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(900,plain,
! [SV9: mworld,SV109: mworld,SV64: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ mactual @ SV152 ) )
= $true )
| ( ( ! [SY2091: mworld] :
( ~ ( mrel @ SV152 @ SY2091 )
| ~ ( v2 @ SY2091 ) ) )
= $true )
| ( ( mrel @ mactual @ SV64 )
= $false )
| ( ( v4 @ SV109 )
= $true )
| ( ( mrel @ SV64 @ SV109 )
= $false )
| ( ( v2 @ SV9 )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(901,plain,
! [SV65: mworld,SV29: mworld,SV153: mworld,SV110: mworld] :
( ( ( ~ ( mrel @ SV110 @ SV153 ) )
= $true )
| ( ( ~ ( v4 @ SV153 ) )
= $true )
| ( ( mrel @ mactual @ SV110 )
= $false )
| ( ( mrel @ mactual @ SV29 )
= $false )
| ( ( v1 @ SV65 )
= $true )
| ( ( mrel @ SV29 @ SV65 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[861]) ).
thf(902,plain,
! [SV43: mworld,SV140: mworld,SV97: mworld] :
( ( ( mrel @ SV97 @ SV140 )
= $false )
| ( ( ~ ( v1 @ SV140 ) )
= $true )
| ( ( mrel @ mactual @ SV97 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false )
| ( ( v1 @ SV43 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(903,plain,
! [SV10: mworld,SV111: mworld,SV66: mworld,SV154: mworld] :
( ( ( ~ ( mrel @ mactual @ SV154 ) )
= $true )
| ( ( ! [SY2092: mworld] :
( ~ ( mrel @ SV154 @ SY2092 )
| ( v3 @ SY2092 ) ) )
= $true )
| ( ( mrel @ mactual @ SV66 )
= $false )
| ( ( v2 @ SV111 )
= $true )
| ( ( mrel @ SV66 @ SV111 )
= $false )
| ( ( v4 @ SV10 )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[863]) ).
thf(904,plain,
! [SV30: mworld,SV126: mworld,SV85: mworld,SV165: mworld] :
( ( ( ~ ( mrel @ mactual @ SV165 )
| ! [SY2096: mworld] :
( ~ ( mrel @ SV165 @ SY2096 )
| ( v4 @ SY2096 ) ) )
= $true )
| ( ( mrel @ mactual @ SV85 )
= $false )
| ( ( v3 @ SV126 )
= $true )
| ( ( mrel @ SV85 @ SV126 )
= $false )
| ( ( v1 @ SV30 )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(905,plain,
! [SV44: mworld,SV86: mworld,SV127: mworld] :
( ( ( v2 @ SV127 )
= $false )
| ( ( mrel @ SV86 @ SV127 )
= $false )
| ( ( mrel @ mactual @ SV86 )
= $false )
| ( ( v1 @ SV44 )
= $true )
| ( ( mrel @ mactual @ SV44 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(906,plain,
! [SV11: mworld,SV67: mworld,SV166: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ SV128 @ SV166 )
| ~ ( v1 @ SV166 ) )
= $true )
| ( ( mrel @ mactual @ SV128 )
= $false )
| ( ( mrel @ mactual @ SV67 )
= $false )
| ( ( v1 @ SV67 )
= $false )
| ( ( v1 @ SV11 )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(907,plain,
! [SV31: mworld,SV129: mworld,SV87: mworld,SV167: mworld] :
( ( ( ~ ( mrel @ mactual @ SV167 )
| ! [SY2097: mworld] :
( ~ ( mrel @ SV167 @ SY2097 )
| ~ ( v4 @ SY2097 ) ) )
= $true )
| ( ( mrel @ mactual @ SV87 )
= $false )
| ( ( v2 @ SV129 )
= $true )
| ( ( mrel @ SV87 @ SV129 )
= $false )
| ( ( v3 @ SV31 )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(908,plain,
! [SV98: mworld,SV54: mworld,SV141: mworld] :
( ( ( mrel @ mactual @ SV141 )
= $false )
| ( ( ! [SY2089: mworld] :
( ~ ( mrel @ SV141 @ SY2089 )
| ( v4 @ SY2089 ) ) )
= $true )
| ( ( mrel @ mactual @ SV54 )
= $false )
| ( ( v1 @ SV98 )
= $true )
| ( ( mrel @ SV54 @ SV98 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(909,plain,
! [SV45: mworld,SV142: mworld,SV99: mworld] :
( ( ( mrel @ SV99 @ SV142 )
= $false )
| ( ( v3 @ SV142 )
= $true )
| ( ( mrel @ mactual @ SV99 )
= $false )
| ( ( mrel @ mactual @ SV45 )
= $false )
| ( ( v1 @ SV45 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(910,plain,
! [SV46: mworld,SV88: mworld,SV130: mworld] :
( ( ( v4 @ SV130 )
= $false )
| ( ( mrel @ SV88 @ SV130 )
= $false )
| ( ( mrel @ mactual @ SV88 )
= $false )
| ( ( v4 @ SV46 )
= $true )
| ( ( mrel @ mactual @ SV46 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(911,plain,
! [SV55: mworld,SV143: mworld,SV100: mworld] :
( ( ( mrel @ SV100 @ SV143 )
= $false )
| ( ( ~ ( v1 @ SV143 ) )
= $true )
| ( ( mrel @ mactual @ SV100 )
= $false )
| ( ( v3 @ SV55 )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(912,plain,
! [SV12: mworld,SV131: mworld,SV89: mworld,SV168: mworld] :
( ( ( ~ ( mrel @ mactual @ SV168 )
| ! [SY2098: mworld] :
( ~ ( mrel @ SV168 @ SY2098 )
| ( v4 @ SY2098 ) ) )
= $true )
| ( ( mrel @ mactual @ SV89 )
= $false )
| ( ( v1 @ SV131 )
= $true )
| ( ( mrel @ SV89 @ SV131 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( v1 @ SV12 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(913,plain,
! [SV47: mworld,SV144: mworld,SV101: mworld] :
( ( ( mrel @ SV101 @ SV144 )
= $false )
| ( ( v4 @ SV144 )
= $true )
| ( ( mrel @ mactual @ SV101 )
= $false )
| ( ( mrel @ mactual @ SV47 )
= $false )
| ( ( v3 @ SV47 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(914,plain,
! [SV4: mworld,SV56: mworld,SV155: mworld,SV112: mworld] :
( ( ( ~ ( mrel @ SV112 @ SV155 ) )
= $true )
| ( ( v4 @ SV155 )
= $true )
| ( ( mrel @ mactual @ SV112 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false )
| ( ( v1 @ SV56 )
= $false )
| ( ( v1 @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(915,plain,
! [SV70: mworld,SV34: mworld,SV169: mworld,SV132: mworld] :
( ( ( ~ ( mrel @ SV132 @ SV169 )
| ~ ( v4 @ SV169 ) )
= $true )
| ( ( mrel @ mactual @ SV132 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false )
| ( ( mrel @ SV34 @ SV70 )
= $false )
| ( ( v3 @ SV70 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(916,plain,
! [SV71: mworld,SV35: mworld,SV156: mworld,SV113: mworld] :
( ( ( ~ ( mrel @ SV113 @ SV156 ) )
= $true )
| ( ( ~ ( v4 @ SV156 ) )
= $true )
| ( ( mrel @ mactual @ SV113 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false )
| ( ( v3 @ SV71 )
= $true )
| ( ( mrel @ SV35 @ SV71 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[876]) ).
thf(917,plain,
! [SV14: mworld,SV90: mworld,SV133: mworld] :
( ( ( v2 @ SV133 )
= $false )
| ( ( mrel @ SV90 @ SV133 )
= $false )
| ( ( mrel @ mactual @ SV90 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(918,plain,
! [SV58: mworld,SV15: mworld,SV157: mworld,SV114: mworld] :
( ( ( ~ ( mrel @ SV114 @ SV157 ) )
= $true )
| ( ( v4 @ SV157 )
= $true )
| ( ( mrel @ mactual @ SV114 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(919,plain,
! [SV16: mworld,SV115: mworld,SV72: mworld,SV158: mworld] :
( ( ( ~ ( mrel @ mactual @ SV158 ) )
= $true )
| ( ( ! [SY2093: mworld] :
( ~ ( mrel @ SV158 @ SY2093 )
| ~ ( v3 @ SY2093 ) ) )
= $true )
| ( ( mrel @ mactual @ SV72 )
= $false )
| ( ( v2 @ SV115 )
= $true )
| ( ( mrel @ SV72 @ SV115 )
= $false )
| ( ( v4 @ SV16 )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[879]) ).
thf(920,plain,
! [SV59: mworld,SV18: mworld,SV159: mworld,SV117: mworld] :
( ( ( ~ ( mrel @ SV117 @ SV159 ) )
= $true )
| ( ( v4 @ SV159 )
= $true )
| ( ( mrel @ mactual @ SV117 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(921,plain,
! [SV6: mworld,SV118: mworld,SV74: mworld,SV160: mworld] :
( ( ( ~ ( mrel @ mactual @ SV160 ) )
= $true )
| ( ( ! [SY2094: mworld] :
( ~ ( mrel @ SV160 @ SY2094 )
| ~ ( v2 @ SY2094 ) ) )
= $true )
| ( ( mrel @ mactual @ SV74 )
= $false )
| ( ( v3 @ SV118 )
= $true )
| ( ( mrel @ SV74 @ SV118 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( v1 @ SV6 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(922,plain,
! [SV48: mworld,SV145: mworld,SV102: mworld] :
( ( ( mrel @ SV102 @ SV145 )
= $false )
| ( ( ~ ( v1 @ SV145 ) )
= $true )
| ( ( mrel @ mactual @ SV102 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false )
| ( ( v4 @ SV48 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(923,plain,
! [SV49: mworld,SV146: mworld,SV103: mworld] :
( ( ( mrel @ SV103 @ SV146 )
= $false )
| ( ( v4 @ SV146 )
= $true )
| ( ( mrel @ mactual @ SV103 )
= $false )
| ( ( mrel @ mactual @ SV49 )
= $false )
| ( ( v4 @ SV49 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(924,plain,
! [SV50: mworld,SV7: mworld,SV147: mworld,SV105: mworld] :
( ( ( mrel @ SV105 @ SV147 )
= $false )
| ( ( ~ ( v3 @ SV147 ) )
= $true )
| ( ( mrel @ mactual @ SV105 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(925,plain,
! [SV36: mworld,SV91: mworld,SV134: mworld] :
( ( ( v1 @ SV134 )
= $false )
| ( ( mrel @ SV91 @ SV134 )
= $false )
| ( ( mrel @ mactual @ SV91 )
= $false )
| ( ( mrel @ mactual @ SV36 )
= $false )
| ( ( v1 @ SV36 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(926,plain,
! [SV77: mworld,SV37: mworld,SV161: mworld,SV121: mworld] :
( ( ( ~ ( mrel @ SV121 @ SV161 ) )
= $true )
| ( ( ~ ( v3 @ SV161 ) )
= $true )
| ( ( mrel @ mactual @ SV121 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false )
| ( ( v4 @ SV77 )
= $true )
| ( ( mrel @ SV37 @ SV77 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(927,plain,
! [SV51: mworld,SV148: mworld,SV106: mworld] :
( ( ( mrel @ SV106 @ SV148 )
= $false )
| ( ( v3 @ SV148 )
= $true )
| ( ( mrel @ mactual @ SV106 )
= $false )
| ( ( mrel @ mactual @ SV51 )
= $false )
| ( ( v2 @ SV51 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(928,plain,
! [SV62: mworld,SV23: mworld,SV149: mworld,SV107: mworld] :
( ( ( mrel @ SV107 @ SV149 )
= $false )
| ( ( v4 @ SV149 )
= $true )
| ( ( mrel @ mactual @ SV107 )
= $false )
| ( ( mrel @ mactual @ SV23 )
= $false )
| ( ( v2 @ SV62 )
= $true )
| ( ( mrel @ SV23 @ SV62 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(929,plain,
! [SV24: mworld,SV135: mworld,SV93: mworld,SV170: mworld] :
( ( ( ~ ( mrel @ mactual @ SV170 )
| ! [SY2099: mworld] :
( ~ ( mrel @ SV170 @ SY2099 )
| ~ ( v4 @ SY2099 ) ) )
= $true )
| ( ( mrel @ mactual @ SV93 )
= $false )
| ( ( v4 @ SV135 )
= $true )
| ( ( mrel @ SV93 @ SV135 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( v2 @ SV24 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(930,plain,
! [SV95: mworld,SV53: mworld,SV150: mworld] :
( ( ( mrel @ mactual @ SV150 )
= $false )
| ( ( ! [SY2090: mworld] :
( ~ ( mrel @ SV150 @ SY2090 )
| ~ ( v3 @ SY2090 ) ) )
= $true )
| ( ( mrel @ mactual @ SV53 )
= $false )
| ( ( mrel @ SV53 @ SV95 )
= $false )
| ( ( v1 @ SV95 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(931,plain,
! [SV25: mworld,SV79: mworld,SV171: mworld,SV137: mworld] :
( ( ( ~ ( mrel @ SV137 @ SV171 )
| ( v3 @ SV171 ) )
= $true )
| ( ( mrel @ mactual @ SV137 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false )
| ( ( v4 @ SV79 )
= $false )
| ( ( v3 @ SV25 )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(932,plain,
! [SV80: mworld,SV40: mworld,SV162: mworld,SV122: mworld] :
( ( ( ~ ( mrel @ SV122 @ SV162 ) )
= $true )
| ( ( v2 @ SV162 )
= $true )
| ( ( mrel @ mactual @ SV122 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false )
| ( ( v1 @ SV80 )
= $true )
| ( ( mrel @ SV40 @ SV80 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[894]) ).
thf(933,plain,
! [SV8: mworld,SV123: mworld,SV81: mworld,SV163: mworld] :
( ( ( ~ ( mrel @ mactual @ SV163 ) )
= $true )
| ( ( ! [SY2095: mworld] :
( ~ ( mrel @ SV163 @ SY2095 )
| ~ ( v1 @ SY2095 ) ) )
= $true )
| ( ( mrel @ mactual @ SV81 )
= $false )
| ( ( v4 @ SV123 )
= $true )
| ( ( mrel @ SV81 @ SV123 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( v1 @ SV8 )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(934,plain,
! [SV26: mworld,SV83: mworld,SV172: mworld,SV138: mworld] :
( ( ( ~ ( mrel @ SV138 @ SV172 )
| ( v1 @ SV172 ) )
= $true )
| ( ( mrel @ mactual @ SV138 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false )
| ( ( v1 @ SV83 )
= $false )
| ( ( v4 @ SV26 )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[896]) ).
thf(935,plain,
! [SV27: mworld,SV139: mworld,SV96: mworld,SV173: mworld] :
( ( ( ~ ( mrel @ mactual @ SV173 )
| ! [SY2100: mworld] :
( ~ ( mrel @ SV173 @ SY2100 )
| ~ ( v4 @ SY2100 ) ) )
= $true )
| ( ( mrel @ mactual @ SV96 )
= $false )
| ( ( v4 @ SV139 )
= $true )
| ( ( mrel @ SV96 @ SV139 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( v4 @ SV27 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(936,plain,
! [SV63: mworld,SV28: mworld,SV151: mworld,SV108: mworld] :
( ( ( mrel @ SV108 @ SV151 )
= $false )
| ( ( v4 @ SV151 )
= $true )
| ( ( mrel @ mactual @ SV108 )
= $false )
| ( ( mrel @ mactual @ SV28 )
= $false )
| ( ( v3 @ SV63 )
= $true )
| ( ( mrel @ SV28 @ SV63 )
= $false )
| ( ( v3 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(937,plain,
! [SV84: mworld,SV42: mworld,SV164: mworld,SV125: mworld] :
( ( ( ~ ( mrel @ SV125 @ SV164 ) )
= $true )
| ( ( v4 @ SV164 )
= $true )
| ( ( mrel @ mactual @ SV125 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false )
| ( ( v1 @ SV84 )
= $true )
| ( ( mrel @ SV42 @ SV84 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[899]) ).
thf(938,plain,
! [SV9: mworld,SV109: mworld,SV64: mworld,SV152: mworld] :
( ( ( mrel @ mactual @ SV152 )
= $false )
| ( ( ! [SY2091: mworld] :
( ~ ( mrel @ SV152 @ SY2091 )
| ~ ( v2 @ SY2091 ) ) )
= $true )
| ( ( mrel @ mactual @ SV64 )
= $false )
| ( ( v4 @ SV109 )
= $true )
| ( ( mrel @ SV64 @ SV109 )
= $false )
| ( ( v2 @ SV9 )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(939,plain,
! [SV65: mworld,SV29: mworld,SV153: mworld,SV110: mworld] :
( ( ( mrel @ SV110 @ SV153 )
= $false )
| ( ( ~ ( v4 @ SV153 ) )
= $true )
| ( ( mrel @ mactual @ SV110 )
= $false )
| ( ( mrel @ mactual @ SV29 )
= $false )
| ( ( v1 @ SV65 )
= $true )
| ( ( mrel @ SV29 @ SV65 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(940,plain,
! [SV43: mworld,SV97: mworld,SV140: mworld] :
( ( ( v1 @ SV140 )
= $false )
| ( ( mrel @ SV97 @ SV140 )
= $false )
| ( ( mrel @ mactual @ SV97 )
= $false )
| ( ( mrel @ mactual @ SV43 )
= $false )
| ( ( v1 @ SV43 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(941,plain,
! [SV10: mworld,SV111: mworld,SV66: mworld,SV154: mworld] :
( ( ( mrel @ mactual @ SV154 )
= $false )
| ( ( ! [SY2092: mworld] :
( ~ ( mrel @ SV154 @ SY2092 )
| ( v3 @ SY2092 ) ) )
= $true )
| ( ( mrel @ mactual @ SV66 )
= $false )
| ( ( v2 @ SV111 )
= $true )
| ( ( mrel @ SV66 @ SV111 )
= $false )
| ( ( v4 @ SV10 )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(942,plain,
! [SV30: mworld,SV126: mworld,SV85: mworld,SV165: mworld] :
( ( ( ~ ( mrel @ mactual @ SV165 ) )
= $true )
| ( ( ! [SY2096: mworld] :
( ~ ( mrel @ SV165 @ SY2096 )
| ( v4 @ SY2096 ) ) )
= $true )
| ( ( mrel @ mactual @ SV85 )
= $false )
| ( ( v3 @ SV126 )
= $true )
| ( ( mrel @ SV85 @ SV126 )
= $false )
| ( ( v1 @ SV30 )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[904]) ).
thf(943,plain,
! [SV11: mworld,SV67: mworld,SV166: mworld,SV128: mworld] :
( ( ( ~ ( mrel @ SV128 @ SV166 ) )
= $true )
| ( ( ~ ( v1 @ SV166 ) )
= $true )
| ( ( mrel @ mactual @ SV128 )
= $false )
| ( ( mrel @ mactual @ SV67 )
= $false )
| ( ( v1 @ SV67 )
= $false )
| ( ( v1 @ SV11 )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(944,plain,
! [SV31: mworld,SV129: mworld,SV87: mworld,SV167: mworld] :
( ( ( ~ ( mrel @ mactual @ SV167 ) )
= $true )
| ( ( ! [SY2097: mworld] :
( ~ ( mrel @ SV167 @ SY2097 )
| ~ ( v4 @ SY2097 ) ) )
= $true )
| ( ( mrel @ mactual @ SV87 )
= $false )
| ( ( v2 @ SV129 )
= $true )
| ( ( mrel @ SV87 @ SV129 )
= $false )
| ( ( v3 @ SV31 )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(945,plain,
! [SV98: mworld,SV54: mworld,SV174: mworld,SV141: mworld] :
( ( ( ~ ( mrel @ SV141 @ SV174 )
| ( v4 @ SV174 ) )
= $true )
| ( ( mrel @ mactual @ SV141 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false )
| ( ( v1 @ SV98 )
= $true )
| ( ( mrel @ SV54 @ SV98 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(946,plain,
! [SV55: mworld,SV100: mworld,SV143: mworld] :
( ( ( v1 @ SV143 )
= $false )
| ( ( mrel @ SV100 @ SV143 )
= $false )
| ( ( mrel @ mactual @ SV100 )
= $false )
| ( ( v3 @ SV55 )
= $true )
| ( ( mrel @ mactual @ SV55 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(947,plain,
! [SV12: mworld,SV131: mworld,SV89: mworld,SV168: mworld] :
( ( ( ~ ( mrel @ mactual @ SV168 ) )
= $true )
| ( ( ! [SY2098: mworld] :
( ~ ( mrel @ SV168 @ SY2098 )
| ( v4 @ SY2098 ) ) )
= $true )
| ( ( mrel @ mactual @ SV89 )
= $false )
| ( ( v1 @ SV131 )
= $true )
| ( ( mrel @ SV89 @ SV131 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( v1 @ SV12 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[912]) ).
thf(948,plain,
! [SV4: mworld,SV56: mworld,SV155: mworld,SV112: mworld] :
( ( ( mrel @ SV112 @ SV155 )
= $false )
| ( ( v4 @ SV155 )
= $true )
| ( ( mrel @ mactual @ SV112 )
= $false )
| ( ( mrel @ mactual @ SV56 )
= $false )
| ( ( v1 @ SV56 )
= $false )
| ( ( v1 @ SV4 )
= $true )
| ( ( mrel @ mactual @ SV4 )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(949,plain,
! [SV70: mworld,SV34: mworld,SV169: mworld,SV132: mworld] :
( ( ( ~ ( mrel @ SV132 @ SV169 ) )
= $true )
| ( ( ~ ( v4 @ SV169 ) )
= $true )
| ( ( mrel @ mactual @ SV132 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false )
| ( ( mrel @ SV34 @ SV70 )
= $false )
| ( ( v3 @ SV70 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[915]) ).
thf(950,plain,
! [SV71: mworld,SV35: mworld,SV156: mworld,SV113: mworld] :
( ( ( mrel @ SV113 @ SV156 )
= $false )
| ( ( ~ ( v4 @ SV156 ) )
= $true )
| ( ( mrel @ mactual @ SV113 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false )
| ( ( v3 @ SV71 )
= $true )
| ( ( mrel @ SV35 @ SV71 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(951,plain,
! [SV14: mworld,SV133: mworld,SV90: mworld,SV175: mworld] :
( ( ( ~ ( mrel @ mactual @ SV175 )
| ! [SY2101: mworld] :
( ~ ( mrel @ SV175 @ SY2101 )
| ~ ( v4 @ SY2101 ) ) )
= $true )
| ( ( mrel @ mactual @ SV90 )
= $false )
| ( ( mrel @ SV90 @ SV133 )
= $false )
| ( ( v2 @ SV133 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(952,plain,
! [SV58: mworld,SV15: mworld,SV157: mworld,SV114: mworld] :
( ( ( mrel @ SV114 @ SV157 )
= $false )
| ( ( v4 @ SV157 )
= $true )
| ( ( mrel @ mactual @ SV114 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v3 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(953,plain,
! [SV16: mworld,SV115: mworld,SV72: mworld,SV158: mworld] :
( ( ( mrel @ mactual @ SV158 )
= $false )
| ( ( ! [SY2093: mworld] :
( ~ ( mrel @ SV158 @ SY2093 )
| ~ ( v3 @ SY2093 ) ) )
= $true )
| ( ( mrel @ mactual @ SV72 )
= $false )
| ( ( v2 @ SV115 )
= $true )
| ( ( mrel @ SV72 @ SV115 )
= $false )
| ( ( v4 @ SV16 )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(954,plain,
! [SV59: mworld,SV18: mworld,SV159: mworld,SV117: mworld] :
( ( ( mrel @ SV117 @ SV159 )
= $false )
| ( ( v4 @ SV159 )
= $true )
| ( ( mrel @ mactual @ SV117 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v1 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(955,plain,
! [SV6: mworld,SV118: mworld,SV74: mworld,SV160: mworld] :
( ( ( mrel @ mactual @ SV160 )
= $false )
| ( ( ! [SY2094: mworld] :
( ~ ( mrel @ SV160 @ SY2094 )
| ~ ( v2 @ SY2094 ) ) )
= $true )
| ( ( mrel @ mactual @ SV74 )
= $false )
| ( ( v3 @ SV118 )
= $true )
| ( ( mrel @ SV74 @ SV118 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( v1 @ SV6 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(956,plain,
! [SV48: mworld,SV102: mworld,SV145: mworld] :
( ( ( v1 @ SV145 )
= $false )
| ( ( mrel @ SV102 @ SV145 )
= $false )
| ( ( mrel @ mactual @ SV102 )
= $false )
| ( ( mrel @ mactual @ SV48 )
= $false )
| ( ( v4 @ SV48 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(957,plain,
! [SV50: mworld,SV7: mworld,SV105: mworld,SV147: mworld] :
( ( ( v3 @ SV147 )
= $false )
| ( ( mrel @ SV105 @ SV147 )
= $false )
| ( ( mrel @ mactual @ SV105 )
= $false )
| ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ( v4 @ SX1 ) ) ) )
= $true )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[924]) ).
thf(958,plain,
! [SV77: mworld,SV37: mworld,SV161: mworld,SV121: mworld] :
( ( ( mrel @ SV121 @ SV161 )
= $false )
| ( ( ~ ( v3 @ SV161 ) )
= $true )
| ( ( mrel @ mactual @ SV121 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false )
| ( ( v4 @ SV77 )
= $true )
| ( ( mrel @ SV37 @ SV77 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(959,plain,
! [SV24: mworld,SV135: mworld,SV93: mworld,SV170: mworld] :
( ( ( ~ ( mrel @ mactual @ SV170 ) )
= $true )
| ( ( ! [SY2099: mworld] :
( ~ ( mrel @ SV170 @ SY2099 )
| ~ ( v4 @ SY2099 ) ) )
= $true )
| ( ( mrel @ mactual @ SV93 )
= $false )
| ( ( v4 @ SV135 )
= $true )
| ( ( mrel @ SV93 @ SV135 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( v2 @ SV24 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[929]) ).
thf(960,plain,
! [SV95: mworld,SV53: mworld,SV176: mworld,SV150: mworld] :
( ( ( ~ ( mrel @ SV150 @ SV176 )
| ~ ( v3 @ SV176 ) )
= $true )
| ( ( mrel @ mactual @ SV150 )
= $false )
| ( ( mrel @ mactual @ SV53 )
= $false )
| ( ( mrel @ SV53 @ SV95 )
= $false )
| ( ( v1 @ SV95 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(961,plain,
! [SV25: mworld,SV79: mworld,SV171: mworld,SV137: mworld] :
( ( ( ~ ( mrel @ SV137 @ SV171 ) )
= $true )
| ( ( v3 @ SV171 )
= $true )
| ( ( mrel @ mactual @ SV137 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false )
| ( ( v4 @ SV79 )
= $false )
| ( ( v3 @ SV25 )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[931]) ).
thf(962,plain,
! [SV80: mworld,SV40: mworld,SV162: mworld,SV122: mworld] :
( ( ( mrel @ SV122 @ SV162 )
= $false )
| ( ( v2 @ SV162 )
= $true )
| ( ( mrel @ mactual @ SV122 )
= $false )
| ( ( mrel @ mactual @ SV40 )
= $false )
| ( ( v1 @ SV80 )
= $true )
| ( ( mrel @ SV40 @ SV80 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(963,plain,
! [SV8: mworld,SV123: mworld,SV81: mworld,SV163: mworld] :
( ( ( mrel @ mactual @ SV163 )
= $false )
| ( ( ! [SY2095: mworld] :
( ~ ( mrel @ SV163 @ SY2095 )
| ~ ( v1 @ SY2095 ) ) )
= $true )
| ( ( mrel @ mactual @ SV81 )
= $false )
| ( ( v4 @ SV123 )
= $true )
| ( ( mrel @ SV81 @ SV123 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( v1 @ SV8 )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(964,plain,
! [SV26: mworld,SV83: mworld,SV172: mworld,SV138: mworld] :
( ( ( ~ ( mrel @ SV138 @ SV172 ) )
= $true )
| ( ( v1 @ SV172 )
= $true )
| ( ( mrel @ mactual @ SV138 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false )
| ( ( v1 @ SV83 )
= $false )
| ( ( v4 @ SV26 )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(965,plain,
! [SV27: mworld,SV139: mworld,SV96: mworld,SV173: mworld] :
( ( ( ~ ( mrel @ mactual @ SV173 ) )
= $true )
| ( ( ! [SY2100: mworld] :
( ~ ( mrel @ SV173 @ SY2100 )
| ~ ( v4 @ SY2100 ) ) )
= $true )
| ( ( mrel @ mactual @ SV96 )
= $false )
| ( ( v4 @ SV139 )
= $true )
| ( ( mrel @ SV96 @ SV139 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( v4 @ SV27 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[935]) ).
thf(966,plain,
! [SV84: mworld,SV42: mworld,SV164: mworld,SV125: mworld] :
( ( ( mrel @ SV125 @ SV164 )
= $false )
| ( ( v4 @ SV164 )
= $true )
| ( ( mrel @ mactual @ SV125 )
= $false )
| ( ( mrel @ mactual @ SV42 )
= $false )
| ( ( v1 @ SV84 )
= $true )
| ( ( mrel @ SV42 @ SV84 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(967,plain,
! [SV9: mworld,SV109: mworld,SV64: mworld,SV177: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ SV152 @ SV177 )
| ~ ( v2 @ SV177 ) )
= $true )
| ( ( mrel @ mactual @ SV152 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false )
| ( ( v4 @ SV109 )
= $true )
| ( ( mrel @ SV64 @ SV109 )
= $false )
| ( ( v2 @ SV9 )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[938]) ).
thf(968,plain,
! [SV65: mworld,SV29: mworld,SV110: mworld,SV153: mworld] :
( ( ( v4 @ SV153 )
= $false )
| ( ( mrel @ SV110 @ SV153 )
= $false )
| ( ( mrel @ mactual @ SV110 )
= $false )
| ( ( mrel @ mactual @ SV29 )
= $false )
| ( ( v1 @ SV65 )
= $true )
| ( ( mrel @ SV29 @ SV65 )
= $false )
| ( ( v4 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(969,plain,
! [SV10: mworld,SV111: mworld,SV66: mworld,SV178: mworld,SV154: mworld] :
( ( ( ~ ( mrel @ SV154 @ SV178 )
| ( v3 @ SV178 ) )
= $true )
| ( ( mrel @ mactual @ SV154 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false )
| ( ( v2 @ SV111 )
= $true )
| ( ( mrel @ SV66 @ SV111 )
= $false )
| ( ( v4 @ SV10 )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(970,plain,
! [SV30: mworld,SV126: mworld,SV85: mworld,SV165: mworld] :
( ( ( mrel @ mactual @ SV165 )
= $false )
| ( ( ! [SY2096: mworld] :
( ~ ( mrel @ SV165 @ SY2096 )
| ( v4 @ SY2096 ) ) )
= $true )
| ( ( mrel @ mactual @ SV85 )
= $false )
| ( ( v3 @ SV126 )
= $true )
| ( ( mrel @ SV85 @ SV126 )
= $false )
| ( ( v1 @ SV30 )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(971,plain,
! [SV11: mworld,SV67: mworld,SV166: mworld,SV128: mworld] :
( ( ( mrel @ SV128 @ SV166 )
= $false )
| ( ( ~ ( v1 @ SV166 ) )
= $true )
| ( ( mrel @ mactual @ SV128 )
= $false )
| ( ( mrel @ mactual @ SV67 )
= $false )
| ( ( v1 @ SV67 )
= $false )
| ( ( v1 @ SV11 )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(972,plain,
! [SV31: mworld,SV129: mworld,SV87: mworld,SV167: mworld] :
( ( ( mrel @ mactual @ SV167 )
= $false )
| ( ( ! [SY2097: mworld] :
( ~ ( mrel @ SV167 @ SY2097 )
| ~ ( v4 @ SY2097 ) ) )
= $true )
| ( ( mrel @ mactual @ SV87 )
= $false )
| ( ( v2 @ SV129 )
= $true )
| ( ( mrel @ SV87 @ SV129 )
= $false )
| ( ( v3 @ SV31 )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(973,plain,
! [SV98: mworld,SV54: mworld,SV174: mworld,SV141: mworld] :
( ( ( ~ ( mrel @ SV141 @ SV174 ) )
= $true )
| ( ( v4 @ SV174 )
= $true )
| ( ( mrel @ mactual @ SV141 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false )
| ( ( v1 @ SV98 )
= $true )
| ( ( mrel @ SV54 @ SV98 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[945]) ).
thf(974,plain,
! [SV12: mworld,SV131: mworld,SV89: mworld,SV168: mworld] :
( ( ( mrel @ mactual @ SV168 )
= $false )
| ( ( ! [SY2098: mworld] :
( ~ ( mrel @ SV168 @ SY2098 )
| ( v4 @ SY2098 ) ) )
= $true )
| ( ( mrel @ mactual @ SV89 )
= $false )
| ( ( v1 @ SV131 )
= $true )
| ( ( mrel @ SV89 @ SV131 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( v1 @ SV12 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(975,plain,
! [SV70: mworld,SV34: mworld,SV169: mworld,SV132: mworld] :
( ( ( mrel @ SV132 @ SV169 )
= $false )
| ( ( ~ ( v4 @ SV169 ) )
= $true )
| ( ( mrel @ mactual @ SV132 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false )
| ( ( mrel @ SV34 @ SV70 )
= $false )
| ( ( v3 @ SV70 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(976,plain,
! [SV71: mworld,SV35: mworld,SV113: mworld,SV156: mworld] :
( ( ( v4 @ SV156 )
= $false )
| ( ( mrel @ SV113 @ SV156 )
= $false )
| ( ( mrel @ mactual @ SV113 )
= $false )
| ( ( mrel @ mactual @ SV35 )
= $false )
| ( ( v3 @ SV71 )
= $true )
| ( ( mrel @ SV35 @ SV71 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(977,plain,
! [SV14: mworld,SV133: mworld,SV90: mworld,SV175: mworld] :
( ( ( ~ ( mrel @ mactual @ SV175 ) )
= $true )
| ( ( ! [SY2101: mworld] :
( ~ ( mrel @ SV175 @ SY2101 )
| ~ ( v4 @ SY2101 ) ) )
= $true )
| ( ( mrel @ mactual @ SV90 )
= $false )
| ( ( mrel @ SV90 @ SV133 )
= $false )
| ( ( v2 @ SV133 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(978,plain,
! [SV58: mworld,SV15: mworld,SV157: mworld,SV114: mworld,SV179: mworld] :
( ( ( ~ ( mrel @ mactual @ SV179 )
| ! [SY2102: mworld] :
( ~ ( mrel @ SV179 @ SY2102 )
| ~ ( v3 @ SY2102 ) ) )
= $true )
| ( ( mrel @ mactual @ SV114 )
= $false )
| ( ( v4 @ SV157 )
= $true )
| ( ( mrel @ SV114 @ SV157 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(979,plain,
! [SV16: mworld,SV115: mworld,SV72: mworld,SV180: mworld,SV158: mworld] :
( ( ( ~ ( mrel @ SV158 @ SV180 )
| ~ ( v3 @ SV180 ) )
= $true )
| ( ( mrel @ mactual @ SV158 )
= $false )
| ( ( mrel @ mactual @ SV72 )
= $false )
| ( ( v2 @ SV115 )
= $true )
| ( ( mrel @ SV72 @ SV115 )
= $false )
| ( ( v4 @ SV16 )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[953]) ).
thf(980,plain,
! [SV59: mworld,SV18: mworld,SV159: mworld,SV117: mworld,SV181: mworld] :
( ( ( ~ ( mrel @ mactual @ SV181 )
| ! [SY2103: mworld] :
( ~ ( mrel @ SV181 @ SY2103 )
| ~ ( v1 @ SY2103 ) ) )
= $true )
| ( ( mrel @ mactual @ SV117 )
= $false )
| ( ( v4 @ SV159 )
= $true )
| ( ( mrel @ SV117 @ SV159 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(981,plain,
! [SV6: mworld,SV118: mworld,SV74: mworld,SV182: mworld,SV160: mworld] :
( ( ( ~ ( mrel @ SV160 @ SV182 )
| ~ ( v2 @ SV182 ) )
= $true )
| ( ( mrel @ mactual @ SV160 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false )
| ( ( v3 @ SV118 )
= $true )
| ( ( mrel @ SV74 @ SV118 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( v1 @ SV6 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(982,plain,
! [SV50: mworld,SV7: mworld,SV147: mworld,SV105: mworld,SV183: mworld] :
( ( ( ~ ( mrel @ mactual @ SV183 )
| ! [SY2104: mworld] :
( ~ ( mrel @ SV183 @ SY2104 )
| ~ ( v4 @ SY2104 ) ) )
= $true )
| ( ( mrel @ mactual @ SV105 )
= $false )
| ( ( mrel @ SV105 @ SV147 )
= $false )
| ( ( v3 @ SV147 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(983,plain,
! [SV77: mworld,SV37: mworld,SV121: mworld,SV161: mworld] :
( ( ( v3 @ SV161 )
= $false )
| ( ( mrel @ SV121 @ SV161 )
= $false )
| ( ( mrel @ mactual @ SV121 )
= $false )
| ( ( mrel @ mactual @ SV37 )
= $false )
| ( ( v4 @ SV77 )
= $true )
| ( ( mrel @ SV37 @ SV77 )
= $false )
| ( ( v1 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(984,plain,
! [SV24: mworld,SV135: mworld,SV93: mworld,SV170: mworld] :
( ( ( mrel @ mactual @ SV170 )
= $false )
| ( ( ! [SY2099: mworld] :
( ~ ( mrel @ SV170 @ SY2099 )
| ~ ( v4 @ SY2099 ) ) )
= $true )
| ( ( mrel @ mactual @ SV93 )
= $false )
| ( ( v4 @ SV135 )
= $true )
| ( ( mrel @ SV93 @ SV135 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( v2 @ SV24 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(985,plain,
! [SV95: mworld,SV53: mworld,SV176: mworld,SV150: mworld] :
( ( ( ~ ( mrel @ SV150 @ SV176 ) )
= $true )
| ( ( ~ ( v3 @ SV176 ) )
= $true )
| ( ( mrel @ mactual @ SV150 )
= $false )
| ( ( mrel @ mactual @ SV53 )
= $false )
| ( ( mrel @ SV53 @ SV95 )
= $false )
| ( ( v1 @ SV95 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[960]) ).
thf(986,plain,
! [SV25: mworld,SV79: mworld,SV171: mworld,SV137: mworld] :
( ( ( mrel @ SV137 @ SV171 )
= $false )
| ( ( v3 @ SV171 )
= $true )
| ( ( mrel @ mactual @ SV137 )
= $false )
| ( ( mrel @ mactual @ SV79 )
= $false )
| ( ( v4 @ SV79 )
= $false )
| ( ( v3 @ SV25 )
= $true )
| ( ( mrel @ mactual @ SV25 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(987,plain,
! [SV8: mworld,SV123: mworld,SV81: mworld,SV184: mworld,SV163: mworld] :
( ( ( ~ ( mrel @ SV163 @ SV184 )
| ~ ( v1 @ SV184 ) )
= $true )
| ( ( mrel @ mactual @ SV163 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false )
| ( ( v4 @ SV123 )
= $true )
| ( ( mrel @ SV81 @ SV123 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( v1 @ SV8 )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(988,plain,
! [SV26: mworld,SV83: mworld,SV172: mworld,SV138: mworld] :
( ( ( mrel @ SV138 @ SV172 )
= $false )
| ( ( v1 @ SV172 )
= $true )
| ( ( mrel @ mactual @ SV138 )
= $false )
| ( ( mrel @ mactual @ SV83 )
= $false )
| ( ( v1 @ SV83 )
= $false )
| ( ( v4 @ SV26 )
= $true )
| ( ( mrel @ mactual @ SV26 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(989,plain,
! [SV27: mworld,SV139: mworld,SV96: mworld,SV173: mworld] :
( ( ( mrel @ mactual @ SV173 )
= $false )
| ( ( ! [SY2100: mworld] :
( ~ ( mrel @ SV173 @ SY2100 )
| ~ ( v4 @ SY2100 ) ) )
= $true )
| ( ( mrel @ mactual @ SV96 )
= $false )
| ( ( v4 @ SV139 )
= $true )
| ( ( mrel @ SV96 @ SV139 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( v4 @ SV27 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(990,plain,
! [SV9: mworld,SV109: mworld,SV64: mworld,SV177: mworld,SV152: mworld] :
( ( ( ~ ( mrel @ SV152 @ SV177 ) )
= $true )
| ( ( ~ ( v2 @ SV177 ) )
= $true )
| ( ( mrel @ mactual @ SV152 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false )
| ( ( v4 @ SV109 )
= $true )
| ( ( mrel @ SV64 @ SV109 )
= $false )
| ( ( v2 @ SV9 )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(991,plain,
! [SV10: mworld,SV111: mworld,SV66: mworld,SV178: mworld,SV154: mworld] :
( ( ( ~ ( mrel @ SV154 @ SV178 ) )
= $true )
| ( ( v3 @ SV178 )
= $true )
| ( ( mrel @ mactual @ SV154 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false )
| ( ( v2 @ SV111 )
= $true )
| ( ( mrel @ SV66 @ SV111 )
= $false )
| ( ( v4 @ SV10 )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(992,plain,
! [SV30: mworld,SV126: mworld,SV85: mworld,SV185: mworld,SV165: mworld] :
( ( ( ~ ( mrel @ SV165 @ SV185 )
| ( v4 @ SV185 ) )
= $true )
| ( ( mrel @ mactual @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV85 )
= $false )
| ( ( v3 @ SV126 )
= $true )
| ( ( mrel @ SV85 @ SV126 )
= $false )
| ( ( v1 @ SV30 )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(993,plain,
! [SV11: mworld,SV67: mworld,SV128: mworld,SV166: mworld] :
( ( ( v1 @ SV166 )
= $false )
| ( ( mrel @ SV128 @ SV166 )
= $false )
| ( ( mrel @ mactual @ SV128 )
= $false )
| ( ( mrel @ mactual @ SV67 )
= $false )
| ( ( v1 @ SV67 )
= $false )
| ( ( v1 @ SV11 )
= $true )
| ( ( mrel @ mactual @ SV11 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(994,plain,
! [SV31: mworld,SV129: mworld,SV87: mworld,SV186: mworld,SV167: mworld] :
( ( ( ~ ( mrel @ SV167 @ SV186 )
| ~ ( v4 @ SV186 ) )
= $true )
| ( ( mrel @ mactual @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV87 )
= $false )
| ( ( v2 @ SV129 )
= $true )
| ( ( mrel @ SV87 @ SV129 )
= $false )
| ( ( v3 @ SV31 )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[972]) ).
thf(995,plain,
! [SV98: mworld,SV54: mworld,SV174: mworld,SV141: mworld] :
( ( ( mrel @ SV141 @ SV174 )
= $false )
| ( ( v4 @ SV174 )
= $true )
| ( ( mrel @ mactual @ SV141 )
= $false )
| ( ( mrel @ mactual @ SV54 )
= $false )
| ( ( v1 @ SV98 )
= $true )
| ( ( mrel @ SV54 @ SV98 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(996,plain,
! [SV12: mworld,SV131: mworld,SV89: mworld,SV187: mworld,SV168: mworld] :
( ( ( ~ ( mrel @ SV168 @ SV187 )
| ( v4 @ SV187 ) )
= $true )
| ( ( mrel @ mactual @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV89 )
= $false )
| ( ( v1 @ SV131 )
= $true )
| ( ( mrel @ SV89 @ SV131 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( v1 @ SV12 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[974]) ).
thf(997,plain,
! [SV70: mworld,SV34: mworld,SV132: mworld,SV169: mworld] :
( ( ( v4 @ SV169 )
= $false )
| ( ( mrel @ SV132 @ SV169 )
= $false )
| ( ( mrel @ mactual @ SV132 )
= $false )
| ( ( mrel @ mactual @ SV34 )
= $false )
| ( ( mrel @ SV34 @ SV70 )
= $false )
| ( ( v3 @ SV70 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(998,plain,
! [SV14: mworld,SV133: mworld,SV90: mworld,SV175: mworld] :
( ( ( mrel @ mactual @ SV175 )
= $false )
| ( ( ! [SY2101: mworld] :
( ~ ( mrel @ SV175 @ SY2101 )
| ~ ( v4 @ SY2101 ) ) )
= $true )
| ( ( mrel @ mactual @ SV90 )
= $false )
| ( ( mrel @ SV90 @ SV133 )
= $false )
| ( ( v2 @ SV133 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(999,plain,
! [SV58: mworld,SV15: mworld,SV157: mworld,SV114: mworld,SV179: mworld] :
( ( ( ~ ( mrel @ mactual @ SV179 ) )
= $true )
| ( ( ! [SY2102: mworld] :
( ~ ( mrel @ SV179 @ SY2102 )
| ~ ( v3 @ SY2102 ) ) )
= $true )
| ( ( mrel @ mactual @ SV114 )
= $false )
| ( ( v4 @ SV157 )
= $true )
| ( ( mrel @ SV114 @ SV157 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[978]) ).
thf(1000,plain,
! [SV16: mworld,SV115: mworld,SV72: mworld,SV180: mworld,SV158: mworld] :
( ( ( ~ ( mrel @ SV158 @ SV180 ) )
= $true )
| ( ( ~ ( v3 @ SV180 ) )
= $true )
| ( ( mrel @ mactual @ SV158 )
= $false )
| ( ( mrel @ mactual @ SV72 )
= $false )
| ( ( v2 @ SV115 )
= $true )
| ( ( mrel @ SV72 @ SV115 )
= $false )
| ( ( v4 @ SV16 )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1001,plain,
! [SV59: mworld,SV18: mworld,SV159: mworld,SV117: mworld,SV181: mworld] :
( ( ( ~ ( mrel @ mactual @ SV181 ) )
= $true )
| ( ( ! [SY2103: mworld] :
( ~ ( mrel @ SV181 @ SY2103 )
| ~ ( v1 @ SY2103 ) ) )
= $true )
| ( ( mrel @ mactual @ SV117 )
= $false )
| ( ( v4 @ SV159 )
= $true )
| ( ( mrel @ SV117 @ SV159 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[980]) ).
thf(1002,plain,
! [SV6: mworld,SV118: mworld,SV74: mworld,SV182: mworld,SV160: mworld] :
( ( ( ~ ( mrel @ SV160 @ SV182 ) )
= $true )
| ( ( ~ ( v2 @ SV182 ) )
= $true )
| ( ( mrel @ mactual @ SV160 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false )
| ( ( v3 @ SV118 )
= $true )
| ( ( mrel @ SV74 @ SV118 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( v1 @ SV6 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1003,plain,
! [SV50: mworld,SV7: mworld,SV147: mworld,SV105: mworld,SV183: mworld] :
( ( ( ~ ( mrel @ mactual @ SV183 ) )
= $true )
| ( ( ! [SY2104: mworld] :
( ~ ( mrel @ SV183 @ SY2104 )
| ~ ( v4 @ SY2104 ) ) )
= $true )
| ( ( mrel @ mactual @ SV105 )
= $false )
| ( ( mrel @ SV105 @ SV147 )
= $false )
| ( ( v3 @ SV147 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[982]) ).
thf(1004,plain,
! [SV24: mworld,SV135: mworld,SV93: mworld,SV188: mworld,SV170: mworld] :
( ( ( ~ ( mrel @ SV170 @ SV188 )
| ~ ( v4 @ SV188 ) )
= $true )
| ( ( mrel @ mactual @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV93 )
= $false )
| ( ( v4 @ SV135 )
= $true )
| ( ( mrel @ SV93 @ SV135 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( v2 @ SV24 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1005,plain,
! [SV95: mworld,SV53: mworld,SV176: mworld,SV150: mworld] :
( ( ( mrel @ SV150 @ SV176 )
= $false )
| ( ( ~ ( v3 @ SV176 ) )
= $true )
| ( ( mrel @ mactual @ SV150 )
= $false )
| ( ( mrel @ mactual @ SV53 )
= $false )
| ( ( mrel @ SV53 @ SV95 )
= $false )
| ( ( v1 @ SV95 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(1006,plain,
! [SV8: mworld,SV123: mworld,SV81: mworld,SV184: mworld,SV163: mworld] :
( ( ( ~ ( mrel @ SV163 @ SV184 ) )
= $true )
| ( ( ~ ( v1 @ SV184 ) )
= $true )
| ( ( mrel @ mactual @ SV163 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false )
| ( ( v4 @ SV123 )
= $true )
| ( ( mrel @ SV81 @ SV123 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( v1 @ SV8 )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[987]) ).
thf(1007,plain,
! [SV27: mworld,SV139: mworld,SV96: mworld,SV189: mworld,SV173: mworld] :
( ( ( ~ ( mrel @ SV173 @ SV189 )
| ~ ( v4 @ SV189 ) )
= $true )
| ( ( mrel @ mactual @ SV173 )
= $false )
| ( ( mrel @ mactual @ SV96 )
= $false )
| ( ( v4 @ SV139 )
= $true )
| ( ( mrel @ SV96 @ SV139 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( v4 @ SV27 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[989]) ).
thf(1008,plain,
! [SV9: mworld,SV109: mworld,SV64: mworld,SV177: mworld,SV152: mworld] :
( ( ( mrel @ SV152 @ SV177 )
= $false )
| ( ( ~ ( v2 @ SV177 ) )
= $true )
| ( ( mrel @ mactual @ SV152 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false )
| ( ( v4 @ SV109 )
= $true )
| ( ( mrel @ SV64 @ SV109 )
= $false )
| ( ( v2 @ SV9 )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1009,plain,
! [SV10: mworld,SV111: mworld,SV66: mworld,SV178: mworld,SV154: mworld] :
( ( ( mrel @ SV154 @ SV178 )
= $false )
| ( ( v3 @ SV178 )
= $true )
| ( ( mrel @ mactual @ SV154 )
= $false )
| ( ( mrel @ mactual @ SV66 )
= $false )
| ( ( v2 @ SV111 )
= $true )
| ( ( mrel @ SV66 @ SV111 )
= $false )
| ( ( v4 @ SV10 )
= $true )
| ( ( mrel @ mactual @ SV10 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1010,plain,
! [SV30: mworld,SV126: mworld,SV85: mworld,SV185: mworld,SV165: mworld] :
( ( ( ~ ( mrel @ SV165 @ SV185 ) )
= $true )
| ( ( v4 @ SV185 )
= $true )
| ( ( mrel @ mactual @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV85 )
= $false )
| ( ( v3 @ SV126 )
= $true )
| ( ( mrel @ SV85 @ SV126 )
= $false )
| ( ( v1 @ SV30 )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[992]) ).
thf(1011,plain,
! [SV31: mworld,SV129: mworld,SV87: mworld,SV186: mworld,SV167: mworld] :
( ( ( ~ ( mrel @ SV167 @ SV186 ) )
= $true )
| ( ( ~ ( v4 @ SV186 ) )
= $true )
| ( ( mrel @ mactual @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV87 )
= $false )
| ( ( v2 @ SV129 )
= $true )
| ( ( mrel @ SV87 @ SV129 )
= $false )
| ( ( v3 @ SV31 )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[994]) ).
thf(1012,plain,
! [SV12: mworld,SV131: mworld,SV89: mworld,SV187: mworld,SV168: mworld] :
( ( ( ~ ( mrel @ SV168 @ SV187 ) )
= $true )
| ( ( v4 @ SV187 )
= $true )
| ( ( mrel @ mactual @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV89 )
= $false )
| ( ( v1 @ SV131 )
= $true )
| ( ( mrel @ SV89 @ SV131 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( v1 @ SV12 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[996]) ).
thf(1013,plain,
! [SV14: mworld,SV133: mworld,SV90: mworld,SV190: mworld,SV175: mworld] :
( ( ( ~ ( mrel @ SV175 @ SV190 )
| ~ ( v4 @ SV190 ) )
= $true )
| ( ( mrel @ mactual @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV90 )
= $false )
| ( ( mrel @ SV90 @ SV133 )
= $false )
| ( ( v2 @ SV133 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1014,plain,
! [SV58: mworld,SV15: mworld,SV157: mworld,SV114: mworld,SV179: mworld] :
( ( ( mrel @ mactual @ SV179 )
= $false )
| ( ( ! [SY2102: mworld] :
( ~ ( mrel @ SV179 @ SY2102 )
| ~ ( v3 @ SY2102 ) ) )
= $true )
| ( ( mrel @ mactual @ SV114 )
= $false )
| ( ( v4 @ SV157 )
= $true )
| ( ( mrel @ SV114 @ SV157 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1015,plain,
! [SV16: mworld,SV115: mworld,SV72: mworld,SV180: mworld,SV158: mworld] :
( ( ( mrel @ SV158 @ SV180 )
= $false )
| ( ( ~ ( v3 @ SV180 ) )
= $true )
| ( ( mrel @ mactual @ SV158 )
= $false )
| ( ( mrel @ mactual @ SV72 )
= $false )
| ( ( v2 @ SV115 )
= $true )
| ( ( mrel @ SV72 @ SV115 )
= $false )
| ( ( v4 @ SV16 )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1016,plain,
! [SV59: mworld,SV18: mworld,SV159: mworld,SV117: mworld,SV181: mworld] :
( ( ( mrel @ mactual @ SV181 )
= $false )
| ( ( ! [SY2103: mworld] :
( ~ ( mrel @ SV181 @ SY2103 )
| ~ ( v1 @ SY2103 ) ) )
= $true )
| ( ( mrel @ mactual @ SV117 )
= $false )
| ( ( v4 @ SV159 )
= $true )
| ( ( mrel @ SV117 @ SV159 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1017,plain,
! [SV6: mworld,SV118: mworld,SV74: mworld,SV182: mworld,SV160: mworld] :
( ( ( mrel @ SV160 @ SV182 )
= $false )
| ( ( ~ ( v2 @ SV182 ) )
= $true )
| ( ( mrel @ mactual @ SV160 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false )
| ( ( v3 @ SV118 )
= $true )
| ( ( mrel @ SV74 @ SV118 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( v1 @ SV6 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1018,plain,
! [SV50: mworld,SV7: mworld,SV147: mworld,SV105: mworld,SV183: mworld] :
( ( ( mrel @ mactual @ SV183 )
= $false )
| ( ( ! [SY2104: mworld] :
( ~ ( mrel @ SV183 @ SY2104 )
| ~ ( v4 @ SY2104 ) ) )
= $true )
| ( ( mrel @ mactual @ SV105 )
= $false )
| ( ( mrel @ SV105 @ SV147 )
= $false )
| ( ( v3 @ SV147 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1019,plain,
! [SV24: mworld,SV135: mworld,SV93: mworld,SV188: mworld,SV170: mworld] :
( ( ( ~ ( mrel @ SV170 @ SV188 ) )
= $true )
| ( ( ~ ( v4 @ SV188 ) )
= $true )
| ( ( mrel @ mactual @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV93 )
= $false )
| ( ( v4 @ SV135 )
= $true )
| ( ( mrel @ SV93 @ SV135 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( v2 @ SV24 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1004]) ).
thf(1020,plain,
! [SV95: mworld,SV53: mworld,SV150: mworld,SV176: mworld] :
( ( ( v3 @ SV176 )
= $false )
| ( ( mrel @ SV150 @ SV176 )
= $false )
| ( ( mrel @ mactual @ SV150 )
= $false )
| ( ( mrel @ mactual @ SV53 )
= $false )
| ( ( mrel @ SV53 @ SV95 )
= $false )
| ( ( v1 @ SV95 )
= $false )
| ( ( v3 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1021,plain,
! [SV8: mworld,SV123: mworld,SV81: mworld,SV184: mworld,SV163: mworld] :
( ( ( mrel @ SV163 @ SV184 )
= $false )
| ( ( ~ ( v1 @ SV184 ) )
= $true )
| ( ( mrel @ mactual @ SV163 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false )
| ( ( v4 @ SV123 )
= $true )
| ( ( mrel @ SV81 @ SV123 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( v1 @ SV8 )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1022,plain,
! [SV27: mworld,SV139: mworld,SV96: mworld,SV189: mworld,SV173: mworld] :
( ( ( ~ ( mrel @ SV173 @ SV189 ) )
= $true )
| ( ( ~ ( v4 @ SV189 ) )
= $true )
| ( ( mrel @ mactual @ SV173 )
= $false )
| ( ( mrel @ mactual @ SV96 )
= $false )
| ( ( v4 @ SV139 )
= $true )
| ( ( mrel @ SV96 @ SV139 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( v4 @ SV27 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1023,plain,
! [SV9: mworld,SV109: mworld,SV64: mworld,SV152: mworld,SV177: mworld] :
( ( ( v2 @ SV177 )
= $false )
| ( ( mrel @ SV152 @ SV177 )
= $false )
| ( ( mrel @ mactual @ SV152 )
= $false )
| ( ( mrel @ mactual @ SV64 )
= $false )
| ( ( v4 @ SV109 )
= $true )
| ( ( mrel @ SV64 @ SV109 )
= $false )
| ( ( v2 @ SV9 )
= $true )
| ( ( mrel @ mactual @ SV9 )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1024,plain,
! [SV30: mworld,SV126: mworld,SV85: mworld,SV185: mworld,SV165: mworld] :
( ( ( mrel @ SV165 @ SV185 )
= $false )
| ( ( v4 @ SV185 )
= $true )
| ( ( mrel @ mactual @ SV165 )
= $false )
| ( ( mrel @ mactual @ SV85 )
= $false )
| ( ( v3 @ SV126 )
= $true )
| ( ( mrel @ SV85 @ SV126 )
= $false )
| ( ( v1 @ SV30 )
= $true )
| ( ( mrel @ mactual @ SV30 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1025,plain,
! [SV31: mworld,SV129: mworld,SV87: mworld,SV186: mworld,SV167: mworld] :
( ( ( mrel @ SV167 @ SV186 )
= $false )
| ( ( ~ ( v4 @ SV186 ) )
= $true )
| ( ( mrel @ mactual @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV87 )
= $false )
| ( ( v2 @ SV129 )
= $true )
| ( ( mrel @ SV87 @ SV129 )
= $false )
| ( ( v3 @ SV31 )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1026,plain,
! [SV12: mworld,SV131: mworld,SV89: mworld,SV187: mworld,SV168: mworld] :
( ( ( mrel @ SV168 @ SV187 )
= $false )
| ( ( v4 @ SV187 )
= $true )
| ( ( mrel @ mactual @ SV168 )
= $false )
| ( ( mrel @ mactual @ SV89 )
= $false )
| ( ( v1 @ SV131 )
= $true )
| ( ( mrel @ SV89 @ SV131 )
= $false )
| ( ( mrel @ mactual @ SV12 )
= $false )
| ( ( v1 @ SV12 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1027,plain,
! [SV14: mworld,SV133: mworld,SV90: mworld,SV190: mworld,SV175: mworld] :
( ( ( ~ ( mrel @ SV175 @ SV190 ) )
= $true )
| ( ( ~ ( v4 @ SV190 ) )
= $true )
| ( ( mrel @ mactual @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV90 )
= $false )
| ( ( mrel @ SV90 @ SV133 )
= $false )
| ( ( v2 @ SV133 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1028,plain,
! [SV58: mworld,SV15: mworld,SV157: mworld,SV114: mworld,SV191: mworld,SV179: mworld] :
( ( ( ~ ( mrel @ SV179 @ SV191 )
| ~ ( v3 @ SV191 ) )
= $true )
| ( ( mrel @ mactual @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV114 )
= $false )
| ( ( v4 @ SV157 )
= $true )
| ( ( mrel @ SV114 @ SV157 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1014]) ).
thf(1029,plain,
! [SV16: mworld,SV115: mworld,SV72: mworld,SV158: mworld,SV180: mworld] :
( ( ( v3 @ SV180 )
= $false )
| ( ( mrel @ SV158 @ SV180 )
= $false )
| ( ( mrel @ mactual @ SV158 )
= $false )
| ( ( mrel @ mactual @ SV72 )
= $false )
| ( ( v2 @ SV115 )
= $true )
| ( ( mrel @ SV72 @ SV115 )
= $false )
| ( ( v4 @ SV16 )
= $true )
| ( ( mrel @ mactual @ SV16 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1030,plain,
! [SV59: mworld,SV18: mworld,SV159: mworld,SV117: mworld,SV192: mworld,SV181: mworld] :
( ( ( ~ ( mrel @ SV181 @ SV192 )
| ~ ( v1 @ SV192 ) )
= $true )
| ( ( mrel @ mactual @ SV181 )
= $false )
| ( ( mrel @ mactual @ SV117 )
= $false )
| ( ( v4 @ SV159 )
= $true )
| ( ( mrel @ SV117 @ SV159 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1016]) ).
thf(1031,plain,
! [SV6: mworld,SV118: mworld,SV74: mworld,SV160: mworld,SV182: mworld] :
( ( ( v2 @ SV182 )
= $false )
| ( ( mrel @ SV160 @ SV182 )
= $false )
| ( ( mrel @ mactual @ SV160 )
= $false )
| ( ( mrel @ mactual @ SV74 )
= $false )
| ( ( v3 @ SV118 )
= $true )
| ( ( mrel @ SV74 @ SV118 )
= $false )
| ( ( mrel @ mactual @ SV6 )
= $false )
| ( ( v1 @ SV6 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1032,plain,
! [SV50: mworld,SV7: mworld,SV147: mworld,SV105: mworld,SV193: mworld,SV183: mworld] :
( ( ( ~ ( mrel @ SV183 @ SV193 )
| ~ ( v4 @ SV193 ) )
= $true )
| ( ( mrel @ mactual @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV105 )
= $false )
| ( ( mrel @ SV105 @ SV147 )
= $false )
| ( ( v3 @ SV147 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1018]) ).
thf(1033,plain,
! [SV24: mworld,SV135: mworld,SV93: mworld,SV188: mworld,SV170: mworld] :
( ( ( mrel @ SV170 @ SV188 )
= $false )
| ( ( ~ ( v4 @ SV188 ) )
= $true )
| ( ( mrel @ mactual @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV93 )
= $false )
| ( ( v4 @ SV135 )
= $true )
| ( ( mrel @ SV93 @ SV135 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( v2 @ SV24 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1034,plain,
! [SV8: mworld,SV123: mworld,SV81: mworld,SV163: mworld,SV184: mworld] :
( ( ( v1 @ SV184 )
= $false )
| ( ( mrel @ SV163 @ SV184 )
= $false )
| ( ( mrel @ mactual @ SV163 )
= $false )
| ( ( mrel @ mactual @ SV81 )
= $false )
| ( ( v4 @ SV123 )
= $true )
| ( ( mrel @ SV81 @ SV123 )
= $false )
| ( ( mrel @ mactual @ SV8 )
= $false )
| ( ( v1 @ SV8 )
= $false )
| ( ( v4 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1035,plain,
! [SV27: mworld,SV139: mworld,SV96: mworld,SV189: mworld,SV173: mworld] :
( ( ( mrel @ SV173 @ SV189 )
= $false )
| ( ( ~ ( v4 @ SV189 ) )
= $true )
| ( ( mrel @ mactual @ SV173 )
= $false )
| ( ( mrel @ mactual @ SV96 )
= $false )
| ( ( v4 @ SV139 )
= $true )
| ( ( mrel @ SV96 @ SV139 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( v4 @ SV27 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1036,plain,
! [SV31: mworld,SV129: mworld,SV87: mworld,SV167: mworld,SV186: mworld] :
( ( ( v4 @ SV186 )
= $false )
| ( ( mrel @ SV167 @ SV186 )
= $false )
| ( ( mrel @ mactual @ SV167 )
= $false )
| ( ( mrel @ mactual @ SV87 )
= $false )
| ( ( v2 @ SV129 )
= $true )
| ( ( mrel @ SV87 @ SV129 )
= $false )
| ( ( v3 @ SV31 )
= $true )
| ( ( mrel @ mactual @ SV31 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1037,plain,
! [SV14: mworld,SV133: mworld,SV90: mworld,SV190: mworld,SV175: mworld] :
( ( ( mrel @ SV175 @ SV190 )
= $false )
| ( ( ~ ( v4 @ SV190 ) )
= $true )
| ( ( mrel @ mactual @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV90 )
= $false )
| ( ( mrel @ SV90 @ SV133 )
= $false )
| ( ( v2 @ SV133 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1038,plain,
! [SV58: mworld,SV15: mworld,SV157: mworld,SV114: mworld,SV191: mworld,SV179: mworld] :
( ( ( ~ ( mrel @ SV179 @ SV191 ) )
= $true )
| ( ( ~ ( v3 @ SV191 ) )
= $true )
| ( ( mrel @ mactual @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV114 )
= $false )
| ( ( v4 @ SV157 )
= $true )
| ( ( mrel @ SV114 @ SV157 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1028]) ).
thf(1039,plain,
! [SV59: mworld,SV18: mworld,SV159: mworld,SV117: mworld,SV192: mworld,SV181: mworld] :
( ( ( ~ ( mrel @ SV181 @ SV192 ) )
= $true )
| ( ( ~ ( v1 @ SV192 ) )
= $true )
| ( ( mrel @ mactual @ SV181 )
= $false )
| ( ( mrel @ mactual @ SV117 )
= $false )
| ( ( v4 @ SV159 )
= $true )
| ( ( mrel @ SV117 @ SV159 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1030]) ).
thf(1040,plain,
! [SV50: mworld,SV7: mworld,SV147: mworld,SV105: mworld,SV193: mworld,SV183: mworld] :
( ( ( ~ ( mrel @ SV183 @ SV193 ) )
= $true )
| ( ( ~ ( v4 @ SV193 ) )
= $true )
| ( ( mrel @ mactual @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV105 )
= $false )
| ( ( mrel @ SV105 @ SV147 )
= $false )
| ( ( v3 @ SV147 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1041,plain,
! [SV24: mworld,SV135: mworld,SV93: mworld,SV170: mworld,SV188: mworld] :
( ( ( v4 @ SV188 )
= $false )
| ( ( mrel @ SV170 @ SV188 )
= $false )
| ( ( mrel @ mactual @ SV170 )
= $false )
| ( ( mrel @ mactual @ SV93 )
= $false )
| ( ( v4 @ SV135 )
= $true )
| ( ( mrel @ SV93 @ SV135 )
= $false )
| ( ( mrel @ mactual @ SV24 )
= $false )
| ( ( v2 @ SV24 )
= $false )
| ( ( v4 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1042,plain,
! [SV27: mworld,SV139: mworld,SV96: mworld,SV173: mworld,SV189: mworld] :
( ( ( v4 @ SV189 )
= $false )
| ( ( mrel @ SV173 @ SV189 )
= $false )
| ( ( mrel @ mactual @ SV173 )
= $false )
| ( ( mrel @ mactual @ SV96 )
= $false )
| ( ( v4 @ SV139 )
= $true )
| ( ( mrel @ SV96 @ SV139 )
= $false )
| ( ( mrel @ mactual @ SV27 )
= $false )
| ( ( v4 @ SV27 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1035]) ).
thf(1043,plain,
! [SV14: mworld,SV133: mworld,SV90: mworld,SV175: mworld,SV190: mworld] :
( ( ( v4 @ SV190 )
= $false )
| ( ( mrel @ SV175 @ SV190 )
= $false )
| ( ( mrel @ mactual @ SV175 )
= $false )
| ( ( mrel @ mactual @ SV90 )
= $false )
| ( ( mrel @ SV90 @ SV133 )
= $false )
| ( ( v2 @ SV133 )
= $false )
| ( ( mrel @ mactual @ SV14 )
= $false )
| ( ( v4 @ SV14 )
= $false )
| ( ( v3 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1044,plain,
! [SV58: mworld,SV15: mworld,SV157: mworld,SV114: mworld,SV191: mworld,SV179: mworld] :
( ( ( mrel @ SV179 @ SV191 )
= $false )
| ( ( ~ ( v3 @ SV191 ) )
= $true )
| ( ( mrel @ mactual @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV114 )
= $false )
| ( ( v4 @ SV157 )
= $true )
| ( ( mrel @ SV114 @ SV157 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1045,plain,
! [SV59: mworld,SV18: mworld,SV159: mworld,SV117: mworld,SV192: mworld,SV181: mworld] :
( ( ( mrel @ SV181 @ SV192 )
= $false )
| ( ( ~ ( v1 @ SV192 ) )
= $true )
| ( ( mrel @ mactual @ SV181 )
= $false )
| ( ( mrel @ mactual @ SV117 )
= $false )
| ( ( v4 @ SV159 )
= $true )
| ( ( mrel @ SV117 @ SV159 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1046,plain,
! [SV50: mworld,SV7: mworld,SV147: mworld,SV105: mworld,SV193: mworld,SV183: mworld] :
( ( ( mrel @ SV183 @ SV193 )
= $false )
| ( ( ~ ( v4 @ SV193 ) )
= $true )
| ( ( mrel @ mactual @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV105 )
= $false )
| ( ( mrel @ SV105 @ SV147 )
= $false )
| ( ( v3 @ SV147 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1047,plain,
! [SV58: mworld,SV15: mworld,SV157: mworld,SV114: mworld,SV179: mworld,SV191: mworld] :
( ( ( v3 @ SV191 )
= $false )
| ( ( mrel @ SV179 @ SV191 )
= $false )
| ( ( mrel @ mactual @ SV179 )
= $false )
| ( ( mrel @ mactual @ SV114 )
= $false )
| ( ( v4 @ SV157 )
= $true )
| ( ( mrel @ SV114 @ SV157 )
= $false )
| ( ( mrel @ mactual @ SV15 )
= $false )
| ( ( v1 @ SV58 )
= $true )
| ( ( mrel @ SV15 @ SV58 )
= $false )
| ( ( v1 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1048,plain,
! [SV59: mworld,SV18: mworld,SV159: mworld,SV117: mworld,SV181: mworld,SV192: mworld] :
( ( ( v1 @ SV192 )
= $false )
| ( ( mrel @ SV181 @ SV192 )
= $false )
| ( ( mrel @ mactual @ SV181 )
= $false )
| ( ( mrel @ mactual @ SV117 )
= $false )
| ( ( v4 @ SV159 )
= $true )
| ( ( mrel @ SV117 @ SV159 )
= $false )
| ( ( mrel @ mactual @ SV18 )
= $false )
| ( ( v3 @ SV59 )
= $true )
| ( ( mrel @ SV18 @ SV59 )
= $false )
| ( ( v2 @ mactual )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1049,plain,
! [SV50: mworld,SV7: mworld,SV147: mworld,SV105: mworld,SV183: mworld,SV193: mworld] :
( ( ( v4 @ SV193 )
= $false )
| ( ( mrel @ SV183 @ SV193 )
= $false )
| ( ( mrel @ mactual @ SV183 )
= $false )
| ( ( mrel @ mactual @ SV105 )
= $false )
| ( ( mrel @ SV105 @ SV147 )
= $false )
| ( ( v3 @ SV147 )
= $false )
| ( ( mrel @ mactual @ SV7 )
= $false )
| ( ( v3 @ SV50 )
= $true )
| ( ( mrel @ SV7 @ SV50 )
= $false )
| ( ( v2 @ mactual )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1050,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[217,1049,1048,1047,1043,1042,1041,1036,1034,1031,1029,1026,1024,1023,1020,1009,997,995,993,988,986,983,976,968,966,962,956,948,946,940,936,928,927,925,923,913,910,909,905,891,884,855,842,837,805,797,763,738,736,708,693,641,484,483,218]) ).
thf(1051,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1050]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO903^10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 17:54:21 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.70/1.32
% 6.70/1.32 No.of.Axioms: 53
% 6.70/1.32
% 6.70/1.32 Length.of.Defs: 1270
% 6.70/1.32
% 6.70/1.32 Contains.Choice.Funs: false
% 6.70/1.32 ........................................................
% 6.70/1.32
% 6.70/1.32 ********************************
% 6.70/1.32 * All subproblems solved! *
% 6.70/1.32 ********************************
% 6.70/1.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:53,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1050,loop_count:0,foatp_calls:1,translation:fof_full)
% 6.70/1.32
% 6.70/1.32 %**** Beginning of derivation protocol ****
% 6.70/1.32 % SZS output start CNFRefutation
% See solution above
% 6.70/1.34
% 6.70/1.34 %**** End of derivation protocol ****
% 6.70/1.34 %**** no. of clauses in derivation: 1051 ****
% 6.70/1.34 %**** clause counter: 1050 ****
% 6.70/1.34
% 6.70/1.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:53,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1050,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------