TSTP Solution File: LCL959^24 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL959^24 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:27:51 EDT 2022
% Result : Theorem 0.36s 0.56s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 63
% Syntax : Number of formulae : 392 ( 31 unt; 49 typ; 10 def)
% Number of atoms : 4485 (1099 equ; 0 cnn)
% Maximal formula atoms : 28 ( 13 avg)
% Number of connectives : 9148 (1885 ~;1841 |; 4 &;5413 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 101 ( 101 >; 0 *; 0 +; 0 <<)
% Number of symbols : 51 ( 48 usr; 7 con; 0-3 aty)
% Number of variables : 1481 ( 39 ^1439 !; 3 ?;1481 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
thf(tp_eiw_di,type,
eiw_di: $i > mworld > $o ).
thf(tp_f,type,
f: $i > mworld > $o ).
thf(tp_mactual,type,
mactual: mworld ).
thf(tp_mand,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mbox,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(tp_mdia,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(tp_mequiv,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mexists_di,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mforall_di,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mimplies,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mlocal,type,
mlocal: ( mworld > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(tp_mor,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mrel,type,
mrel: mworld > mworld > $o ).
thf(tp_sK10_SY32,type,
sK10_SY32: mworld > mworld ).
thf(tp_sK11_SX0,type,
sK11_SX0: mworld > mworld ).
thf(tp_sK12_SX0,type,
sK12_SX0: $i > mworld ).
thf(tp_sK13_SY37,type,
sK13_SY37: mworld > mworld ).
thf(tp_sK14_SX0,type,
sK14_SX0: mworld > mworld ).
thf(tp_sK15_SX0,type,
sK15_SX0: mworld > mworld ).
thf(tp_sK16_SY34,type,
sK16_SY34: mworld > $i ).
thf(tp_sK17_SY46,type,
sK17_SY46: mworld > mworld ).
thf(tp_sK18_SY53,type,
sK18_SY53: $i > mworld ).
thf(tp_sK19_SX0,type,
sK19_SX0: mworld > $i > mworld ).
thf(tp_sK1_X,type,
sK1_X: mworld > $i ).
thf(tp_sK20_SY42,type,
sK20_SY42: mworld > mworld ).
thf(tp_sK21_SY63,type,
sK21_SY63: mworld > mworld ).
thf(tp_sK22_SY43,type,
sK22_SY43: mworld > $i ).
thf(tp_sK23_SY70,type,
sK23_SY70: mworld > mworld ).
thf(tp_sK24_SY50,type,
sK24_SY50: $i > $i ).
thf(tp_sK25_SY60,type,
sK25_SY60: mworld > $i ).
thf(tp_sK26_SY85,type,
sK26_SY85: $i > mworld > mworld ).
thf(tp_sK27_SY67,type,
sK27_SY67: mworld > $i ).
thf(tp_sK28_SY82,type,
sK28_SY82: $i > mworld > $i ).
thf(tp_sK29_SY115,type,
sK29_SY115: mworld > mworld > mworld ).
thf(tp_sK2_SX0,type,
sK2_SX0: mworld ).
thf(tp_sK30_SY124,type,
sK30_SY124: mworld > mworld > mworld ).
thf(tp_sK31_SY126,type,
sK31_SY126: $i > mworld > mworld ).
thf(tp_sK32_SY128,type,
sK32_SY128: mworld > mworld > mworld ).
thf(tp_sK33_SY129,type,
sK33_SY129: mworld > mworld > mworld ).
thf(tp_sK34_SY131,type,
sK34_SY131: mworld > $i > mworld > mworld ).
thf(tp_sK3_SX0,type,
sK3_SX0: mworld ).
thf(tp_sK4_SY14,type,
sK4_SY14: mworld ).
thf(tp_sK5_SY18,type,
sK5_SY18: mworld > mworld ).
thf(tp_sK6_SY11,type,
sK6_SY11: $i ).
thf(tp_sK7_SY26,type,
sK7_SY26: mworld > $i ).
thf(tp_sK8_SY21,type,
sK8_SY21: $i > mworld ).
thf(tp_sK9_SX0,type,
sK9_SX0: mworld > mworld ).
thf(mand,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv) ).
thf(mexists_di,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( eiw_di @ X @ W )
& ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di) ).
thf(mforall_di,definition,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
thf(1,axiom,
! [W: mworld,V: mworld,X: $i] :
( ( ( eiw_di @ X @ W )
& ( mrel @ V @ W ) )
=> ( eiw_di @ X @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_decr) ).
thf(2,axiom,
! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_nonempty) ).
thf(3,axiom,
! [W: mworld,V: mworld] : ( mrel @ W @ V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
thf(4,conjecture,
( mlocal
@ ( mand
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mnot
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( f @ X ) ) ) ) ) )
@ ( mexists_di
@ ^ [Y: $i] : ( mbox @ ( mnot @ ( mbox @ ( f @ Y ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [Y: $i] : ( mbox @ ( mnot @ ( mbox @ ( f @ Y ) ) ) ) )
@ ( mbox
@ ( mnot
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( f @ X ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish203) ).
thf(5,negated_conjecture,
( ( mlocal
@ ( mand
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mnot
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( f @ X ) ) ) ) ) )
@ ( mexists_di
@ ^ [Y: $i] : ( mbox @ ( mnot @ ( mbox @ ( f @ Y ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [Y: $i] : ( mbox @ ( mnot @ ( mbox @ ( f @ Y ) ) ) ) )
@ ( mbox
@ ( mnot
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( f @ X ) ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ~ ( mlocal
@ ( mand
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mnot
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( f @ X ) ) ) ) ) )
@ ( mexists_di
@ ^ [Y: $i] : ( mbox @ ( mnot @ ( mbox @ ( f @ Y ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [Y: $i] : ( mbox @ ( mnot @ ( mbox @ ( f @ Y ) ) ) ) )
@ ( mbox
@ ( mnot
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( f @ X ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [W: mworld,V: mworld,X: $i] :
( ~ ( eiw_di @ X @ W )
| ~ ( mrel @ V @ W )
| ( eiw_di @ X @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[1]) ).
thf(8,plain,
( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
= $true ),
inference(extcnf_combined,[status(esa)],[2]) ).
thf(9,plain,
( ( ! [W: mworld,V: mworld] : ( mrel @ W @ V ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(10,plain,
( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
( ( ! [W: mworld,V: mworld,X: $i] :
( ~ ( eiw_di @ X @ W )
| ~ ( mrel @ V @ W )
| ( eiw_di @ X @ V ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(12,plain,
( ( ~ ( mlocal
@ ( mand
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mnot
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( f @ X ) ) ) ) ) )
@ ( mexists_di
@ ^ [Y: $i] : ( mbox @ ( mnot @ ( mbox @ ( f @ Y ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [Y: $i] : ( mbox @ ( mnot @ ( mbox @ ( f @ Y ) ) ) ) )
@ ( mbox
@ ( mnot
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( f @ X ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(13,plain,
( ( ~ ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) ) )
| ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(14,plain,
! [SV1: mworld] :
( ( ! [SY0: mworld] : ( mrel @ SV1 @ SY0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(15,plain,
! [SV2: mworld] :
( ( eiw_di @ ( sK1_X @ SV2 ) @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(16,plain,
! [SV3: mworld] :
( ( ! [SY1: mworld,SY2: $i] :
( ~ ( eiw_di @ SY2 @ SV3 )
| ~ ( mrel @ SY1 @ SV3 )
| ( eiw_di @ SY2 @ SY1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(17,plain,
( ( ~ ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) ) )
| ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(18,plain,
! [SV4: mworld,SV1: mworld] :
( ( mrel @ SV1 @ SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(19,plain,
! [SV5: mworld,SV3: mworld] :
( ( ! [SY3: $i] :
( ~ ( eiw_di @ SY3 @ SV3 )
| ~ ( mrel @ SV5 @ SV3 )
| ( eiw_di @ SY3 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) ) )
| ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV5: mworld,SV3: mworld,SV6: $i] :
( ( ~ ( eiw_di @ SV6 @ SV3 )
| ~ ( mrel @ SV5 @ SV3 )
| ( eiw_di @ SV6 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV5: mworld,SV3: mworld,SV6: $i] :
( ( ( ~ ( eiw_di @ SV6 @ SV3 )
| ~ ( mrel @ SV5 @ SV3 ) )
= $true )
| ( ( eiw_di @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
! [SV5: mworld,SV3: mworld,SV6: $i] :
( ( ( ~ ( eiw_di @ SV6 @ SV3 ) )
= $true )
| ( ( ~ ( mrel @ SV5 @ SV3 ) )
= $true )
| ( ( eiw_di @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(26,plain,
( ( ( ~ ( mrel @ mactual @ sK2_SX0 )
| ~ ! [SY4: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY4 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY4 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
| ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY9 @ SX3 )
| ( f @ SY8 @ SX3 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(27,plain,
! [SV5: mworld,SV3: mworld,SV6: $i] :
( ( ( eiw_di @ SV6 @ SV3 )
= $false )
| ( ( ~ ( mrel @ SV5 @ SV3 ) )
= $true )
| ( ( eiw_di @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
( ( ( ~ ( mrel @ mactual @ sK2_SX0 ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(29,plain,
( ( ( ~ ! [SY4: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY4 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY4 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
| ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY9 @ SX3 )
| ( f @ SY8 @ SX3 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV6: $i,SV3: mworld,SV5: mworld] :
( ( ( mrel @ SV5 @ SV3 )
= $false )
| ( ( eiw_di @ SV6 @ SV3 )
= $false )
| ( ( eiw_di @ SV6 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
( ( ( mrel @ mactual @ sK2_SX0 )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(32,plain,
( ( ( ~ ! [SY4: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY4 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY4 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(33,plain,
( ( ( ~ ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY9 @ SX3 )
| ( f @ SY8 @ SX3 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(34,plain,
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(35,plain,
( ( ( ! [SY4: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY4 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY4 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(36,plain,
( ( ( ! [SY8: $i] :
~ ~ ( ~ ( eiw_di @ SY8 @ sK2_SX0 )
| ~ ! [SY9: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY9 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY9 @ SX3 )
| ( f @ SY8 @ SX3 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(37,plain,
( ( ( ~ ( mrel @ mactual @ sK3_SX0 )
| ~ ~ ! [SY11: $i] :
~ ~ ( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY12 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY12 @ SX3 )
| ( f @ SY11 @ SX3 ) ) ) )
| ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY14 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[34]) ).
thf(38,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ sK2_SX0 @ SV7 )
| ~ ! [SY18: mworld] :
( ~ ( mrel @ SV7 @ SY18 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY18 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY18 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ SV8 @ sK2_SX0 )
| ~ ! [SY21: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY21 )
| ~ ! [SY22: mworld] :
( ~ ( mrel @ SY21 @ SY22 )
| ( f @ SV8 @ SY22 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(40,plain,
( ( ( ~ ( mrel @ mactual @ sK3_SX0 ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(41,plain,
( ( ( ~ ~ ! [SY11: $i] :
~ ~ ( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY12 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY12 @ SX3 )
| ( f @ SY11 @ SX3 ) ) ) )
| ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY14 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ sK2_SX0 @ SV7 ) )
= $true )
| ( ( ~ ! [SY18: mworld] :
( ~ ( mrel @ SV7 @ SY18 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY18 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY18 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( eiw_di @ SV8 @ sK2_SX0 )
| ~ ! [SY21: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY21 )
| ~ ! [SY22: mworld] :
( ~ ( mrel @ SY21 @ SY22 )
| ( f @ SV8 @ SY22 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(44,plain,
( ( ( mrel @ mactual @ sK3_SX0 )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(45,plain,
( ( ( ~ ~ ! [SY11: $i] :
~ ~ ( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY12 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY12 @ SX3 )
| ( f @ SY11 @ SX3 ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(46,plain,
( ( ( ! [SY14: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY14 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY14 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(47,plain,
! [SV7: mworld] :
( ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( ~ ! [SY18: mworld] :
( ~ ( mrel @ SV7 @ SY18 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY18 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY18 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV8: $i] :
( ( ( ~ ( eiw_di @ SV8 @ sK2_SX0 )
| ~ ! [SY21: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY21 )
| ~ ! [SY22: mworld] :
( ~ ( mrel @ SY21 @ SY22 )
| ( f @ SV8 @ SY22 ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(49,plain,
( ( ( ~ ! [SY11: $i] :
~ ~ ( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY12 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY12 @ SX3 )
| ( f @ SY11 @ SX3 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(50,plain,
( ( ( ~ ( mrel @ sK3_SX0 @ sK4_SY14 )
| ~ ! [SY23: mworld] :
( ~ ( mrel @ sK4_SY14 @ SY23 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY23 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY23 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[46]) ).
thf(51,plain,
! [SV7: mworld] :
( ( ( ! [SY18: mworld] :
( ~ ( mrel @ SV7 @ SY18 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY18 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY18 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV8: $i] :
( ( ( ~ ( eiw_di @ SV8 @ sK2_SX0 ) )
= $true )
| ( ( ~ ! [SY21: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY21 )
| ~ ! [SY22: mworld] :
( ~ ( mrel @ SY21 @ SY22 )
| ( f @ SV8 @ SY22 ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(53,plain,
( ( ( ! [SY11: $i] :
~ ~ ( ~ ( eiw_di @ SY11 @ sK3_SX0 )
| ~ ! [SY12: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY12 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY12 @ SX3 )
| ( f @ SY11 @ SX3 ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(54,plain,
( ( ( ~ ( mrel @ sK3_SX0 @ sK4_SY14 ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(55,plain,
( ( ( ~ ! [SY23: mworld] :
( ~ ( mrel @ sK4_SY14 @ SY23 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY23 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY23 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(56,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
| ! [SY26: $i] :
( ~ ( eiw_di @ SY26 @ ( sK5_SY18 @ SV7 ) )
| ! [SY27: mworld] :
( ~ ( mrel @ ( sK5_SY18 @ SV7 ) @ SY27 )
| ( f @ SY26 @ SY27 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[51]) ).
thf(57,plain,
! [SV8: $i] :
( ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SY21: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY21 )
| ~ ! [SY22: mworld] :
( ~ ( mrel @ SY21 @ SY22 )
| ( f @ SV8 @ SY22 ) ) ) )
= $true )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(58,plain,
( ( ( ~ ~ ( ~ ( eiw_di @ sK6_SY11 @ sK3_SX0 )
| ~ ! [SY28: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY28 )
| ~ ! [SY29: mworld] :
( ~ ( mrel @ SY28 @ SY29 )
| ( f @ sK6_SY11 @ SY29 ) ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[53]) ).
thf(59,plain,
( ( ( mrel @ sK3_SX0 @ sK4_SY14 )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(60,plain,
( ( ( ! [SY23: mworld] :
( ~ ( mrel @ sK4_SY14 @ SY23 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY23 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY23 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(61,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(62,plain,
! [SV7: mworld] :
( ( ( ! [SY26: $i] :
( ~ ( eiw_di @ SY26 @ ( sK5_SY18 @ SV7 ) )
| ! [SY27: mworld] :
( ~ ( mrel @ ( sK5_SY18 @ SV7 ) @ SY27 )
| ( f @ SY26 @ SY27 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(63,plain,
! [SV8: $i] :
( ( ( ! [SY21: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY21 )
| ~ ! [SY22: mworld] :
( ~ ( mrel @ SY21 @ SY22 )
| ( f @ SV8 @ SY22 ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(64,plain,
( ( ( ~ ( ~ ( eiw_di @ sK6_SY11 @ sK3_SX0 )
| ~ ! [SY28: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY28 )
| ~ ! [SY29: mworld] :
( ~ ( mrel @ SY28 @ SY29 )
| ( f @ sK6_SY11 @ SY29 ) ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(65,plain,
! [SV9: mworld] :
( ( ( ~ ( mrel @ sK4_SY14 @ SV9 )
| ! [SY30: $i] :
( ~ ( eiw_di @ SY30 @ SV9 )
| ! [SY31: mworld] :
( ~ ( mrel @ SV9 @ SY31 )
| ( f @ SY30 @ SY31 ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(66,plain,
! [SV7: mworld] :
( ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(67,plain,
! [SV7: mworld] :
( ( ( ~ ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
| ! [SY32: mworld] :
( ~ ( mrel @ ( sK5_SY18 @ SV7 ) @ SY32 )
| ( f @ ( sK7_SY26 @ SV7 ) @ SY32 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[62]) ).
thf(68,plain,
! [SV8: $i] :
( ( ( ~ ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
| ~ ! [SY33: mworld] :
( ~ ( mrel @ ( sK8_SY21 @ SV8 ) @ SY33 )
| ( f @ SV8 @ SY33 ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[63]) ).
thf(69,plain,
( ( ( ~ ( eiw_di @ sK6_SY11 @ sK3_SX0 )
| ~ ! [SY28: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY28 )
| ~ ! [SY29: mworld] :
( ~ ( mrel @ SY28 @ SY29 )
| ( f @ sK6_SY11 @ SY29 ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV9: mworld] :
( ( ( ~ ( mrel @ sK4_SY14 @ SV9 ) )
= $true )
| ( ( ! [SY30: $i] :
( ~ ( eiw_di @ SY30 @ SV9 )
| ! [SY31: mworld] :
( ~ ( mrel @ SV9 @ SY31 )
| ( f @ SY30 @ SY31 ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV7: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(72,plain,
! [SV7: mworld] :
( ( ( ~ ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(73,plain,
! [SV7: mworld] :
( ( ( ! [SY32: mworld] :
( ~ ( mrel @ ( sK5_SY18 @ SV7 ) @ SY32 )
| ( f @ ( sK7_SY26 @ SV7 ) @ SY32 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(74,plain,
! [SV8: $i] :
( ( ( ~ ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(75,plain,
! [SV8: $i] :
( ( ( ~ ! [SY33: mworld] :
( ~ ( mrel @ ( sK8_SY21 @ SV8 ) @ SY33 )
| ( f @ SV8 @ SY33 ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(76,plain,
( ( ( ~ ( eiw_di @ sK6_SY11 @ sK3_SX0 ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(77,plain,
( ( ( ~ ! [SY28: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY28 )
| ~ ! [SY29: mworld] :
( ~ ( mrel @ SY28 @ SY29 )
| ( f @ sK6_SY11 @ SY29 ) ) ) )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(78,plain,
! [SV9: mworld] :
( ( ( mrel @ sK4_SY14 @ SV9 )
= $false )
| ( ( ! [SY30: $i] :
( ~ ( eiw_di @ SY30 @ SV9 )
| ! [SY31: mworld] :
( ~ ( mrel @ SV9 @ SY31 )
| ( f @ SY30 @ SY31 ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(79,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ ( sK9_SX0 @ SV7 ) )
| ~ ~ ! [SY34: $i] :
~ ~ ( ~ ( eiw_di @ SY34 @ ( sK9_SX0 @ SV7 ) )
| ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SY35 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY35 @ SX3 )
| ( f @ SY34 @ SX3 ) ) ) )
| ! [SY37: mworld] :
( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SY37 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY37 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[71]) ).
thf(80,plain,
! [SV7: mworld] :
( ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(81,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
| ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[73]) ).
thf(82,plain,
! [SV8: $i] :
( ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(83,plain,
! [SV8: $i] :
( ( ( ! [SY33: mworld] :
( ~ ( mrel @ ( sK8_SY21 @ SV8 ) @ SY33 )
| ( f @ SV8 @ SY33 ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(84,plain,
( ( ( eiw_di @ sK6_SY11 @ sK3_SX0 )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(85,plain,
( ( ( ! [SY28: mworld] :
( ~ ( mrel @ sK3_SX0 @ SY28 )
| ~ ! [SY29: mworld] :
( ~ ( mrel @ SY28 @ SY29 )
| ( f @ sK6_SY11 @ SY29 ) ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(86,plain,
! [SV9: mworld,SV10: $i] :
( ( ( ~ ( eiw_di @ SV10 @ SV9 )
| ! [SY41: mworld] :
( ~ ( mrel @ SV9 @ SY41 )
| ( f @ SV10 @ SY41 ) ) )
= $true )
| ( ( mrel @ sK4_SY14 @ SV9 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(87,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ ( sK9_SX0 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(88,plain,
! [SV7: mworld] :
( ( ( ~ ~ ! [SY34: $i] :
~ ~ ( ~ ( eiw_di @ SY34 @ ( sK9_SX0 @ SV7 ) )
| ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SY35 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY35 @ SX3 )
| ( f @ SY34 @ SX3 ) ) ) )
| ! [SY37: mworld] :
( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SY37 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY37 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(89,plain,
! [SV7: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(90,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(91,plain,
! [SV7: mworld] :
( ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(92,plain,
! [SV8: $i] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV11: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
| ( f @ SV8 @ SV11 ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ sK3_SX0 @ SV12 )
| ~ ! [SY42: mworld] :
( ~ ( mrel @ SV12 @ SY42 )
| ( f @ sK6_SY11 @ SY42 ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(95,plain,
! [SV9: mworld,SV10: $i] :
( ( ( ~ ( eiw_di @ SV10 @ SV9 ) )
= $true )
| ( ( ! [SY41: mworld] :
( ~ ( mrel @ SV9 @ SY41 )
| ( f @ SV10 @ SY41 ) ) )
= $true )
| ( ( mrel @ sK4_SY14 @ SV9 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(96,plain,
! [SV7: mworld] :
( ( ( mrel @ mactual @ ( sK9_SX0 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(97,plain,
! [SV7: mworld] :
( ( ( ~ ~ ! [SY34: $i] :
~ ~ ( ~ ( eiw_di @ SY34 @ ( sK9_SX0 @ SV7 ) )
| ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SY35 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY35 @ SX3 )
| ( f @ SY34 @ SX3 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(98,plain,
! [SV7: mworld] :
( ( ( ! [SY37: mworld] :
( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SY37 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY37 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(99,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ ( sK11_SX0 @ SV7 ) )
| ~ ~ ! [SY43: $i] :
~ ~ ( ~ ( eiw_di @ SY43 @ ( sK11_SX0 @ SV7 ) )
| ~ ! [SY44: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SY44 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY44 @ SX3 )
| ( f @ SY43 @ SX3 ) ) ) )
| ! [SY46: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SY46 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY46 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[89]) ).
thf(100,plain,
! [SV7: mworld] :
( ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(101,plain,
! [SV7: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(102,plain,
! [SV8: $i] :
( ( ( ~ ( mrel @ mactual @ ( sK12_SX0 @ SV8 ) )
| ~ ~ ! [SY50: $i] :
~ ~ ( ~ ( eiw_di @ SY50 @ ( sK12_SX0 @ SV8 ) )
| ~ ! [SY51: mworld] :
( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SY51 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY51 @ SX3 )
| ( f @ SY50 @ SX3 ) ) ) )
| ! [SY53: mworld] :
( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SY53 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY53 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[92]) ).
thf(103,plain,
! [SV11: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 ) )
= $true )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(104,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ sK3_SX0 @ SV12 ) )
= $true )
| ( ( ~ ! [SY42: mworld] :
( ~ ( mrel @ SV12 @ SY42 )
| ( f @ sK6_SY11 @ SY42 ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(105,plain,
! [SV9: mworld,SV10: $i] :
( ( ( eiw_di @ SV10 @ SV9 )
= $false )
| ( ( ! [SY41: mworld] :
( ~ ( mrel @ SV9 @ SY41 )
| ( f @ SV10 @ SY41 ) ) )
= $true )
| ( ( mrel @ sK4_SY14 @ SV9 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(106,plain,
! [SV7: mworld] :
( ( ( ~ ! [SY34: $i] :
~ ~ ( ~ ( eiw_di @ SY34 @ ( sK9_SX0 @ SV7 ) )
| ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SY35 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY35 @ SX3 )
| ( f @ SY34 @ SX3 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(107,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ ( sK13_SY37 @ SV7 ) )
| ~ ! [SY57: mworld] :
( ~ ( mrel @ ( sK13_SY37 @ SV7 ) @ SY57 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY57 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY57 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[98]) ).
thf(108,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ ( sK11_SX0 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(109,plain,
! [SV7: mworld] :
( ( ( ~ ~ ! [SY43: $i] :
~ ~ ( ~ ( eiw_di @ SY43 @ ( sK11_SX0 @ SV7 ) )
| ~ ! [SY44: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SY44 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY44 @ SX3 )
| ( f @ SY43 @ SX3 ) ) ) )
| ! [SY46: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SY46 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY46 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(110,plain,
! [SV7: mworld] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(111,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ ( sK14_SX0 @ SV7 ) )
| ~ ~ ! [SY60: $i] :
~ ~ ( ~ ( eiw_di @ SY60 @ ( sK14_SX0 @ SV7 ) )
| ~ ! [SY61: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SY61 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY61 @ SX3 )
| ( f @ SY60 @ SX3 ) ) ) )
| ! [SY63: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SY63 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY63 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[101]) ).
thf(112,plain,
! [SV8: $i] :
( ( ( ~ ( mrel @ mactual @ ( sK12_SX0 @ SV8 ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(113,plain,
! [SV8: $i] :
( ( ( ~ ~ ! [SY50: $i] :
~ ~ ( ~ ( eiw_di @ SY50 @ ( sK12_SX0 @ SV8 ) )
| ~ ! [SY51: mworld] :
( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SY51 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY51 @ SX3 )
| ( f @ SY50 @ SX3 ) ) ) )
| ! [SY53: mworld] :
( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SY53 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY53 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(114,plain,
! [SV11: mworld,SV8: $i] :
( ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(115,plain,
! [SV12: mworld] :
( ( ( mrel @ sK3_SX0 @ SV12 )
= $false )
| ( ( ~ ! [SY42: mworld] :
( ~ ( mrel @ SV12 @ SY42 )
| ( f @ sK6_SY11 @ SY42 ) ) )
= $true )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(116,plain,
! [SV10: $i,SV13: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ SV9 @ SV13 )
| ( f @ SV10 @ SV13 ) )
= $true )
| ( ( eiw_di @ SV10 @ SV9 )
= $false )
| ( ( mrel @ sK4_SY14 @ SV9 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(117,plain,
! [SV7: mworld] :
( ( ( ! [SY34: $i] :
~ ~ ( ~ ( eiw_di @ SY34 @ ( sK9_SX0 @ SV7 ) )
| ~ ! [SY35: mworld] :
( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SY35 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY35 @ SX3 )
| ( f @ SY34 @ SX3 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(118,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ ( sK13_SY37 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(119,plain,
! [SV7: mworld] :
( ( ( ~ ! [SY57: mworld] :
( ~ ( mrel @ ( sK13_SY37 @ SV7 ) @ SY57 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY57 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY57 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(120,plain,
! [SV7: mworld] :
( ( ( mrel @ mactual @ ( sK11_SX0 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(121,plain,
! [SV7: mworld] :
( ( ( ~ ~ ! [SY43: $i] :
~ ~ ( ~ ( eiw_di @ SY43 @ ( sK11_SX0 @ SV7 ) )
| ~ ! [SY44: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SY44 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY44 @ SX3 )
| ( f @ SY43 @ SX3 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(122,plain,
! [SV7: mworld] :
( ( ( ! [SY46: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SY46 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY46 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(123,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ ( sK15_SX0 @ SV7 ) )
| ~ ~ ! [SY67: $i] :
~ ~ ( ~ ( eiw_di @ SY67 @ ( sK15_SX0 @ SV7 ) )
| ~ ! [SY68: mworld] :
( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SY68 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY68 @ SX3 )
| ( f @ SY67 @ SX3 ) ) ) )
| ! [SY70: mworld] :
( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SY70 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY70 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[110]) ).
thf(124,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ ( sK14_SX0 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(125,plain,
! [SV7: mworld] :
( ( ( ~ ~ ! [SY60: $i] :
~ ~ ( ~ ( eiw_di @ SY60 @ ( sK14_SX0 @ SV7 ) )
| ~ ! [SY61: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SY61 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY61 @ SX3 )
| ( f @ SY60 @ SX3 ) ) ) )
| ! [SY63: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SY63 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY63 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(126,plain,
! [SV8: $i] :
( ( ( mrel @ mactual @ ( sK12_SX0 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(127,plain,
! [SV8: $i] :
( ( ( ~ ~ ! [SY50: $i] :
~ ~ ( ~ ( eiw_di @ SY50 @ ( sK12_SX0 @ SV8 ) )
| ~ ! [SY51: mworld] :
( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SY51 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY51 @ SX3 )
| ( f @ SY50 @ SX3 ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(128,plain,
! [SV8: $i] :
( ( ( ! [SY53: mworld] :
( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SY53 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY53 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(129,plain,
! [SV11: mworld,SV8: $i] :
( ( ( ! [SX0: mworld] :
( ~ ( mrel @ mactual @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX2 @ SX3 )
| ( f @ SX1 @ SX3 ) ) ) )
| ! [SX1: mworld] :
( ~ ( mrel @ SX0 @ SX1 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(130,plain,
! [SV12: mworld] :
( ( ( ! [SY42: mworld] :
( ~ ( mrel @ SV12 @ SY42 )
| ( f @ sK6_SY11 @ SY42 ) ) )
= $false )
| ( ( mrel @ sK3_SX0 @ SV12 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(131,plain,
! [SV10: $i,SV13: mworld,SV9: mworld] :
( ( ( ~ ( mrel @ SV9 @ SV13 ) )
= $true )
| ( ( f @ SV10 @ SV13 )
= $true )
| ( ( eiw_di @ SV10 @ SV9 )
= $false )
| ( ( mrel @ sK4_SY14 @ SV9 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(132,plain,
! [SV7: mworld] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK16_SY34 @ SV7 ) @ ( sK9_SX0 @ SV7 ) )
| ~ ! [SY74: mworld] :
( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SY74 )
| ~ ! [SY75: mworld] :
( ~ ( mrel @ SY74 @ SY75 )
| ( f @ ( sK16_SY34 @ SV7 ) @ SY75 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[117]) ).
thf(133,plain,
! [SV7: mworld] :
( ( ( mrel @ ( sK9_SX0 @ SV7 ) @ ( sK13_SY37 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(134,plain,
! [SV7: mworld] :
( ( ( ! [SY57: mworld] :
( ~ ( mrel @ ( sK13_SY37 @ SV7 ) @ SY57 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY57 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY57 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(135,plain,
! [SV7: mworld] :
( ( ( ~ ! [SY43: $i] :
~ ~ ( ~ ( eiw_di @ SY43 @ ( sK11_SX0 @ SV7 ) )
| ~ ! [SY44: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SY44 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY44 @ SX3 )
| ( f @ SY43 @ SX3 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(136,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ ( sK17_SY46 @ SV7 ) )
| ~ ! [SY76: mworld] :
( ~ ( mrel @ ( sK17_SY46 @ SV7 ) @ SY76 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY76 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY76 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[122]) ).
thf(137,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ mactual @ ( sK15_SX0 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(138,plain,
! [SV7: mworld] :
( ( ( ~ ~ ! [SY67: $i] :
~ ~ ( ~ ( eiw_di @ SY67 @ ( sK15_SX0 @ SV7 ) )
| ~ ! [SY68: mworld] :
( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SY68 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY68 @ SX3 )
| ( f @ SY67 @ SX3 ) ) ) )
| ! [SY70: mworld] :
( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SY70 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY70 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(139,plain,
! [SV7: mworld] :
( ( ( mrel @ mactual @ ( sK14_SX0 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(140,plain,
! [SV7: mworld] :
( ( ( ~ ~ ! [SY60: $i] :
~ ~ ( ~ ( eiw_di @ SY60 @ ( sK14_SX0 @ SV7 ) )
| ~ ! [SY61: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SY61 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY61 @ SX3 )
| ( f @ SY60 @ SX3 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(141,plain,
! [SV7: mworld] :
( ( ( ! [SY63: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SY63 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY63 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(142,plain,
! [SV8: $i] :
( ( ( ~ ! [SY50: $i] :
~ ~ ( ~ ( eiw_di @ SY50 @ ( sK12_SX0 @ SV8 ) )
| ~ ! [SY51: mworld] :
( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SY51 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY51 @ SX3 )
| ( f @ SY50 @ SX3 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(143,plain,
! [SV8: $i] :
( ( ( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ ( sK18_SY53 @ SV8 ) )
| ~ ! [SY79: mworld] :
( ~ ( mrel @ ( sK18_SY53 @ SV8 ) @ SY79 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY79 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY79 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[128]) ).
thf(144,plain,
! [SV8: $i,SV11: mworld] :
( ( ( ~ ( mrel @ mactual @ ( sK19_SX0 @ SV11 @ SV8 ) )
| ~ ~ ! [SY82: $i] :
~ ~ ( ~ ( eiw_di @ SY82 @ ( sK19_SX0 @ SV11 @ SV8 ) )
| ~ ! [SY83: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SY83 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY83 @ SX3 )
| ( f @ SY82 @ SX3 ) ) ) )
| ! [SY85: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SY85 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY85 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[129]) ).
thf(145,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ ( sK20_SY42 @ SV12 ) )
| ( f @ sK6_SY11 @ ( sK20_SY42 @ SV12 ) ) )
= $false )
| ( ( mrel @ sK3_SX0 @ SV12 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[130]) ).
thf(146,plain,
! [SV10: $i,SV13: mworld,SV9: mworld] :
( ( ( mrel @ SV9 @ SV13 )
= $false )
| ( ( f @ SV10 @ SV13 )
= $true )
| ( ( eiw_di @ SV10 @ SV9 )
= $false )
| ( ( mrel @ sK4_SY14 @ SV9 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(147,plain,
! [SV7: mworld] :
( ( ( ~ ( ~ ( eiw_di @ ( sK16_SY34 @ SV7 ) @ ( sK9_SX0 @ SV7 ) )
| ~ ! [SY74: mworld] :
( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SY74 )
| ~ ! [SY75: mworld] :
( ~ ( mrel @ SY74 @ SY75 )
| ( f @ ( sK16_SY34 @ SV7 ) @ SY75 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(148,plain,
! [SV14: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK13_SY37 @ SV7 ) @ SV14 )
| ! [SY89: $i] :
( ~ ( eiw_di @ SY89 @ SV14 )
| ! [SY90: mworld] :
( ~ ( mrel @ SV14 @ SY90 )
| ( f @ SY89 @ SY90 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(149,plain,
! [SV7: mworld] :
( ( ( ! [SY43: $i] :
~ ~ ( ~ ( eiw_di @ SY43 @ ( sK11_SX0 @ SV7 ) )
| ~ ! [SY44: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SY44 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY44 @ SX3 )
| ( f @ SY43 @ SX3 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(150,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ ( sK17_SY46 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(151,plain,
! [SV7: mworld] :
( ( ( ~ ! [SY76: mworld] :
( ~ ( mrel @ ( sK17_SY46 @ SV7 ) @ SY76 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY76 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY76 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(152,plain,
! [SV7: mworld] :
( ( ( mrel @ mactual @ ( sK15_SX0 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(153,plain,
! [SV7: mworld] :
( ( ( ~ ~ ! [SY67: $i] :
~ ~ ( ~ ( eiw_di @ SY67 @ ( sK15_SX0 @ SV7 ) )
| ~ ! [SY68: mworld] :
( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SY68 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY68 @ SX3 )
| ( f @ SY67 @ SX3 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(154,plain,
! [SV7: mworld] :
( ( ( ! [SY70: mworld] :
( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SY70 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY70 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(155,plain,
! [SV7: mworld] :
( ( ( ~ ! [SY60: $i] :
~ ~ ( ~ ( eiw_di @ SY60 @ ( sK14_SX0 @ SV7 ) )
| ~ ! [SY61: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SY61 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY61 @ SX3 )
| ( f @ SY60 @ SX3 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(156,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ ( sK21_SY63 @ SV7 ) )
| ~ ! [SY91: mworld] :
( ~ ( mrel @ ( sK21_SY63 @ SV7 ) @ SY91 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY91 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY91 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[141]) ).
thf(157,plain,
! [SV8: $i] :
( ( ( ! [SY50: $i] :
~ ~ ( ~ ( eiw_di @ SY50 @ ( sK12_SX0 @ SV8 ) )
| ~ ! [SY51: mworld] :
( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SY51 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY51 @ SX3 )
| ( f @ SY50 @ SX3 ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(158,plain,
! [SV8: $i] :
( ( ( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ ( sK18_SY53 @ SV8 ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(159,plain,
! [SV8: $i] :
( ( ( ~ ! [SY79: mworld] :
( ~ ( mrel @ ( sK18_SY53 @ SV8 ) @ SY79 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY79 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY79 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(160,plain,
! [SV8: $i,SV11: mworld] :
( ( ( ~ ( mrel @ mactual @ ( sK19_SX0 @ SV11 @ SV8 ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(161,plain,
! [SV8: $i,SV11: mworld] :
( ( ( ~ ~ ! [SY82: $i] :
~ ~ ( ~ ( eiw_di @ SY82 @ ( sK19_SX0 @ SV11 @ SV8 ) )
| ~ ! [SY83: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SY83 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY83 @ SX3 )
| ( f @ SY82 @ SX3 ) ) ) )
| ! [SY85: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SY85 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY85 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(162,plain,
! [SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ ( sK20_SY42 @ SV12 ) ) )
= $false )
| ( ( mrel @ sK3_SX0 @ SV12 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(163,plain,
! [SV12: mworld] :
( ( ( f @ sK6_SY11 @ ( sK20_SY42 @ SV12 ) )
= $false )
| ( ( mrel @ sK3_SX0 @ SV12 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(164,plain,
! [SV7: mworld] :
( ( ( ~ ( eiw_di @ ( sK16_SY34 @ SV7 ) @ ( sK9_SX0 @ SV7 ) )
| ~ ! [SY74: mworld] :
( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SY74 )
| ~ ! [SY75: mworld] :
( ~ ( mrel @ SY74 @ SY75 )
| ( f @ ( sK16_SY34 @ SV7 ) @ SY75 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(165,plain,
! [SV14: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK13_SY37 @ SV7 ) @ SV14 ) )
= $true )
| ( ( ! [SY89: $i] :
( ~ ( eiw_di @ SY89 @ SV14 )
| ! [SY90: mworld] :
( ~ ( mrel @ SV14 @ SY90 )
| ( f @ SY89 @ SY90 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(166,plain,
! [SV7: mworld] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK22_SY43 @ SV7 ) @ ( sK11_SX0 @ SV7 ) )
| ~ ! [SY94: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SY94 )
| ~ ! [SY95: mworld] :
( ~ ( mrel @ SY94 @ SY95 )
| ( f @ ( sK22_SY43 @ SV7 ) @ SY95 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[149]) ).
thf(167,plain,
! [SV7: mworld] :
( ( ( mrel @ ( sK11_SX0 @ SV7 ) @ ( sK17_SY46 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(168,plain,
! [SV7: mworld] :
( ( ( ! [SY76: mworld] :
( ~ ( mrel @ ( sK17_SY46 @ SV7 ) @ SY76 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY76 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY76 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(169,plain,
! [SV7: mworld] :
( ( ( ~ ! [SY67: $i] :
~ ~ ( ~ ( eiw_di @ SY67 @ ( sK15_SX0 @ SV7 ) )
| ~ ! [SY68: mworld] :
( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SY68 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY68 @ SX3 )
| ( f @ SY67 @ SX3 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(170,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ ( sK23_SY70 @ SV7 ) )
| ~ ! [SY96: mworld] :
( ~ ( mrel @ ( sK23_SY70 @ SV7 ) @ SY96 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY96 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY96 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[154]) ).
thf(171,plain,
! [SV7: mworld] :
( ( ( ! [SY60: $i] :
~ ~ ( ~ ( eiw_di @ SY60 @ ( sK14_SX0 @ SV7 ) )
| ~ ! [SY61: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SY61 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY61 @ SX3 )
| ( f @ SY60 @ SX3 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(172,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ ( sK21_SY63 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(173,plain,
! [SV7: mworld] :
( ( ( ~ ! [SY91: mworld] :
( ~ ( mrel @ ( sK21_SY63 @ SV7 ) @ SY91 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY91 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY91 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(174,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK24_SY50 @ SV8 ) @ ( sK12_SX0 @ SV8 ) )
| ~ ! [SY99: mworld] :
( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SY99 )
| ~ ! [SY100: mworld] :
( ~ ( mrel @ SY99 @ SY100 )
| ( f @ ( sK24_SY50 @ SV8 ) @ SY100 ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[157]) ).
thf(175,plain,
! [SV8: $i] :
( ( ( mrel @ ( sK12_SX0 @ SV8 ) @ ( sK18_SY53 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(176,plain,
! [SV8: $i] :
( ( ( ! [SY79: mworld] :
( ~ ( mrel @ ( sK18_SY53 @ SV8 ) @ SY79 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY79 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY79 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(177,plain,
! [SV8: $i,SV11: mworld] :
( ( ( mrel @ mactual @ ( sK19_SX0 @ SV11 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(178,plain,
! [SV8: $i,SV11: mworld] :
( ( ( ~ ~ ! [SY82: $i] :
~ ~ ( ~ ( eiw_di @ SY82 @ ( sK19_SX0 @ SV11 @ SV8 ) )
| ~ ! [SY83: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SY83 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY83 @ SX3 )
| ( f @ SY82 @ SX3 ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(179,plain,
! [SV8: $i,SV11: mworld] :
( ( ( ! [SY85: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SY85 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SY85 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(180,plain,
! [SV12: mworld] :
( ( ( mrel @ SV12 @ ( sK20_SY42 @ SV12 ) )
= $true )
| ( ( mrel @ sK3_SX0 @ SV12 )
= $false )
| ( ( mrel @ mactual @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(181,plain,
! [SV7: mworld] :
( ( ( ~ ( eiw_di @ ( sK16_SY34 @ SV7 ) @ ( sK9_SX0 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(182,plain,
! [SV7: mworld] :
( ( ( ~ ! [SY74: mworld] :
( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SY74 )
| ~ ! [SY75: mworld] :
( ~ ( mrel @ SY74 @ SY75 )
| ( f @ ( sK16_SY34 @ SV7 ) @ SY75 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(183,plain,
! [SV14: mworld,SV7: mworld] :
( ( ( mrel @ ( sK13_SY37 @ SV7 ) @ SV14 )
= $false )
| ( ( ! [SY89: $i] :
( ~ ( eiw_di @ SY89 @ SV14 )
| ! [SY90: mworld] :
( ~ ( mrel @ SV14 @ SY90 )
| ( f @ SY89 @ SY90 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(184,plain,
! [SV7: mworld] :
( ( ( ~ ( ~ ( eiw_di @ ( sK22_SY43 @ SV7 ) @ ( sK11_SX0 @ SV7 ) )
| ~ ! [SY94: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SY94 )
| ~ ! [SY95: mworld] :
( ~ ( mrel @ SY94 @ SY95 )
| ( f @ ( sK22_SY43 @ SV7 ) @ SY95 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(185,plain,
! [SV15: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK17_SY46 @ SV7 ) @ SV15 )
| ! [SY101: $i] :
( ~ ( eiw_di @ SY101 @ SV15 )
| ! [SY102: mworld] :
( ~ ( mrel @ SV15 @ SY102 )
| ( f @ SY101 @ SY102 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(186,plain,
! [SV7: mworld] :
( ( ( ! [SY67: $i] :
~ ~ ( ~ ( eiw_di @ SY67 @ ( sK15_SX0 @ SV7 ) )
| ~ ! [SY68: mworld] :
( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SY68 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY68 @ SX3 )
| ( f @ SY67 @ SX3 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(187,plain,
! [SV7: mworld] :
( ( ( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ ( sK23_SY70 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(188,plain,
! [SV7: mworld] :
( ( ( ~ ! [SY96: mworld] :
( ~ ( mrel @ ( sK23_SY70 @ SV7 ) @ SY96 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY96 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY96 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(189,plain,
! [SV7: mworld] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK25_SY60 @ SV7 ) @ ( sK14_SX0 @ SV7 ) )
| ~ ! [SY103: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SY103 )
| ~ ! [SY104: mworld] :
( ~ ( mrel @ SY103 @ SY104 )
| ( f @ ( sK25_SY60 @ SV7 ) @ SY104 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[171]) ).
thf(190,plain,
! [SV7: mworld] :
( ( ( mrel @ ( sK14_SX0 @ SV7 ) @ ( sK21_SY63 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(191,plain,
! [SV7: mworld] :
( ( ( ! [SY91: mworld] :
( ~ ( mrel @ ( sK21_SY63 @ SV7 ) @ SY91 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY91 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY91 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(192,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( eiw_di @ ( sK24_SY50 @ SV8 ) @ ( sK12_SX0 @ SV8 ) )
| ~ ! [SY99: mworld] :
( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SY99 )
| ~ ! [SY100: mworld] :
( ~ ( mrel @ SY99 @ SY100 )
| ( f @ ( sK24_SY50 @ SV8 ) @ SY100 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(193,plain,
! [SV16: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK18_SY53 @ SV8 ) @ SV16 )
| ! [SY105: $i] :
( ~ ( eiw_di @ SY105 @ SV16 )
| ! [SY106: mworld] :
( ~ ( mrel @ SV16 @ SY106 )
| ( f @ SY105 @ SY106 ) ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(194,plain,
! [SV8: $i,SV11: mworld] :
( ( ( ~ ! [SY82: $i] :
~ ~ ( ~ ( eiw_di @ SY82 @ ( sK19_SX0 @ SV11 @ SV8 ) )
| ~ ! [SY83: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SY83 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY83 @ SX3 )
| ( f @ SY82 @ SX3 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(195,plain,
! [SV8: $i,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ ( sK26_SY85 @ SV8 @ SV11 ) )
| ~ ! [SY107: mworld] :
( ~ ( mrel @ ( sK26_SY85 @ SV8 @ SV11 ) @ SY107 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY107 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY107 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[179]) ).
thf(196,plain,
! [SV7: mworld] :
( ( ( eiw_di @ ( sK16_SY34 @ SV7 ) @ ( sK9_SX0 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(197,plain,
! [SV7: mworld] :
( ( ( ! [SY74: mworld] :
( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SY74 )
| ~ ! [SY75: mworld] :
( ~ ( mrel @ SY74 @ SY75 )
| ( f @ ( sK16_SY34 @ SV7 ) @ SY75 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(198,plain,
! [SV7: mworld,SV14: mworld,SV17: $i] :
( ( ( ~ ( eiw_di @ SV17 @ SV14 )
| ! [SY110: mworld] :
( ~ ( mrel @ SV14 @ SY110 )
| ( f @ SV17 @ SY110 ) ) )
= $true )
| ( ( mrel @ ( sK13_SY37 @ SV7 ) @ SV14 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(199,plain,
! [SV7: mworld] :
( ( ( ~ ( eiw_di @ ( sK22_SY43 @ SV7 ) @ ( sK11_SX0 @ SV7 ) )
| ~ ! [SY94: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SY94 )
| ~ ! [SY95: mworld] :
( ~ ( mrel @ SY94 @ SY95 )
| ( f @ ( sK22_SY43 @ SV7 ) @ SY95 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(200,plain,
! [SV15: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK17_SY46 @ SV7 ) @ SV15 ) )
= $true )
| ( ( ! [SY101: $i] :
( ~ ( eiw_di @ SY101 @ SV15 )
| ! [SY102: mworld] :
( ~ ( mrel @ SV15 @ SY102 )
| ( f @ SY101 @ SY102 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(201,plain,
! [SV7: mworld] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK27_SY67 @ SV7 ) @ ( sK15_SX0 @ SV7 ) )
| ~ ! [SY111: mworld] :
( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SY111 )
| ~ ! [SY112: mworld] :
( ~ ( mrel @ SY111 @ SY112 )
| ( f @ ( sK27_SY67 @ SV7 ) @ SY112 ) ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[186]) ).
thf(202,plain,
! [SV7: mworld] :
( ( ( mrel @ ( sK15_SX0 @ SV7 ) @ ( sK23_SY70 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(203,plain,
! [SV7: mworld] :
( ( ( ! [SY96: mworld] :
( ~ ( mrel @ ( sK23_SY70 @ SV7 ) @ SY96 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY96 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY96 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(204,plain,
! [SV7: mworld] :
( ( ( ~ ( ~ ( eiw_di @ ( sK25_SY60 @ SV7 ) @ ( sK14_SX0 @ SV7 ) )
| ~ ! [SY103: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SY103 )
| ~ ! [SY104: mworld] :
( ~ ( mrel @ SY103 @ SY104 )
| ( f @ ( sK25_SY60 @ SV7 ) @ SY104 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(205,plain,
! [SV18: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK21_SY63 @ SV7 ) @ SV18 )
| ! [SY113: $i] :
( ~ ( eiw_di @ SY113 @ SV18 )
| ! [SY114: mworld] :
( ~ ( mrel @ SV18 @ SY114 )
| ( f @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(206,plain,
! [SV8: $i] :
( ( ( ~ ( eiw_di @ ( sK24_SY50 @ SV8 ) @ ( sK12_SX0 @ SV8 ) )
| ~ ! [SY99: mworld] :
( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SY99 )
| ~ ! [SY100: mworld] :
( ~ ( mrel @ SY99 @ SY100 )
| ( f @ ( sK24_SY50 @ SV8 ) @ SY100 ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(207,plain,
! [SV16: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK18_SY53 @ SV8 ) @ SV16 ) )
= $true )
| ( ( ! [SY105: $i] :
( ~ ( eiw_di @ SY105 @ SV16 )
| ! [SY106: mworld] :
( ~ ( mrel @ SV16 @ SY106 )
| ( f @ SY105 @ SY106 ) ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(208,plain,
! [SV8: $i,SV11: mworld] :
( ( ( ! [SY82: $i] :
~ ~ ( ~ ( eiw_di @ SY82 @ ( sK19_SX0 @ SV11 @ SV8 ) )
| ~ ! [SY83: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SY83 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SY83 @ SX3 )
| ( f @ SY82 @ SX3 ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(209,plain,
! [SV8: $i,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ ( sK26_SY85 @ SV8 @ SV11 ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(210,plain,
! [SV11: mworld,SV8: $i] :
( ( ( ~ ! [SY107: mworld] :
( ~ ( mrel @ ( sK26_SY85 @ SV8 @ SV11 ) @ SY107 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY107 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY107 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(211,plain,
! [SV19: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SV19 )
| ~ ! [SY115: mworld] :
( ~ ( mrel @ SV19 @ SY115 )
| ( f @ ( sK16_SY34 @ SV7 ) @ SY115 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(212,plain,
! [SV7: mworld,SV14: mworld,SV17: $i] :
( ( ( ~ ( eiw_di @ SV17 @ SV14 ) )
= $true )
| ( ( ! [SY110: mworld] :
( ~ ( mrel @ SV14 @ SY110 )
| ( f @ SV17 @ SY110 ) ) )
= $true )
| ( ( mrel @ ( sK13_SY37 @ SV7 ) @ SV14 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(213,plain,
! [SV7: mworld] :
( ( ( ~ ( eiw_di @ ( sK22_SY43 @ SV7 ) @ ( sK11_SX0 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(214,plain,
! [SV7: mworld] :
( ( ( ~ ! [SY94: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SY94 )
| ~ ! [SY95: mworld] :
( ~ ( mrel @ SY94 @ SY95 )
| ( f @ ( sK22_SY43 @ SV7 ) @ SY95 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(215,plain,
! [SV15: mworld,SV7: mworld] :
( ( ( mrel @ ( sK17_SY46 @ SV7 ) @ SV15 )
= $false )
| ( ( ! [SY101: $i] :
( ~ ( eiw_di @ SY101 @ SV15 )
| ! [SY102: mworld] :
( ~ ( mrel @ SV15 @ SY102 )
| ( f @ SY101 @ SY102 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(216,plain,
! [SV7: mworld] :
( ( ( ~ ( ~ ( eiw_di @ ( sK27_SY67 @ SV7 ) @ ( sK15_SX0 @ SV7 ) )
| ~ ! [SY111: mworld] :
( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SY111 )
| ~ ! [SY112: mworld] :
( ~ ( mrel @ SY111 @ SY112 )
| ( f @ ( sK27_SY67 @ SV7 ) @ SY112 ) ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(217,plain,
! [SV20: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK23_SY70 @ SV7 ) @ SV20 )
| ! [SY116: $i] :
( ~ ( eiw_di @ SY116 @ SV20 )
| ! [SY117: mworld] :
( ~ ( mrel @ SV20 @ SY117 )
| ( f @ SY116 @ SY117 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(218,plain,
! [SV7: mworld] :
( ( ( ~ ( eiw_di @ ( sK25_SY60 @ SV7 ) @ ( sK14_SX0 @ SV7 ) )
| ~ ! [SY103: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SY103 )
| ~ ! [SY104: mworld] :
( ~ ( mrel @ SY103 @ SY104 )
| ( f @ ( sK25_SY60 @ SV7 ) @ SY104 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(219,plain,
! [SV18: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK21_SY63 @ SV7 ) @ SV18 ) )
= $true )
| ( ( ! [SY113: $i] :
( ~ ( eiw_di @ SY113 @ SV18 )
| ! [SY114: mworld] :
( ~ ( mrel @ SV18 @ SY114 )
| ( f @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(220,plain,
! [SV8: $i] :
( ( ( ~ ( eiw_di @ ( sK24_SY50 @ SV8 ) @ ( sK12_SX0 @ SV8 ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(221,plain,
! [SV8: $i] :
( ( ( ~ ! [SY99: mworld] :
( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SY99 )
| ~ ! [SY100: mworld] :
( ~ ( mrel @ SY99 @ SY100 )
| ( f @ ( sK24_SY50 @ SV8 ) @ SY100 ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(222,plain,
! [SV16: mworld,SV8: $i] :
( ( ( mrel @ ( sK18_SY53 @ SV8 ) @ SV16 )
= $false )
| ( ( ! [SY105: $i] :
( ~ ( eiw_di @ SY105 @ SV16 )
| ! [SY106: mworld] :
( ~ ( mrel @ SV16 @ SY106 )
| ( f @ SY105 @ SY106 ) ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(223,plain,
! [SV11: mworld,SV8: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK28_SY82 @ SV8 @ SV11 ) @ ( sK19_SX0 @ SV11 @ SV8 ) )
| ~ ! [SY118: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SY118 )
| ~ ! [SY119: mworld] :
( ~ ( mrel @ SY118 @ SY119 )
| ( f @ ( sK28_SY82 @ SV8 @ SV11 ) @ SY119 ) ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[208]) ).
thf(224,plain,
! [SV8: $i,SV11: mworld] :
( ( ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ ( sK26_SY85 @ SV8 @ SV11 ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(225,plain,
! [SV11: mworld,SV8: $i] :
( ( ( ! [SY107: mworld] :
( ~ ( mrel @ ( sK26_SY85 @ SV8 @ SV11 ) @ SY107 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY107 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY107 @ SX4 )
| ( f @ SX3 @ SX4 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(226,plain,
! [SV19: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK9_SX0 @ SV7 ) @ SV19 ) )
= $true )
| ( ( ~ ! [SY115: mworld] :
( ~ ( mrel @ SV19 @ SY115 )
| ( f @ ( sK16_SY34 @ SV7 ) @ SY115 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(227,plain,
! [SV7: mworld,SV14: mworld,SV17: $i] :
( ( ( eiw_di @ SV17 @ SV14 )
= $false )
| ( ( ! [SY110: mworld] :
( ~ ( mrel @ SV14 @ SY110 )
| ( f @ SV17 @ SY110 ) ) )
= $true )
| ( ( mrel @ ( sK13_SY37 @ SV7 ) @ SV14 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(228,plain,
! [SV7: mworld] :
( ( ( eiw_di @ ( sK22_SY43 @ SV7 ) @ ( sK11_SX0 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(229,plain,
! [SV7: mworld] :
( ( ( ! [SY94: mworld] :
( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SY94 )
| ~ ! [SY95: mworld] :
( ~ ( mrel @ SY94 @ SY95 )
| ( f @ ( sK22_SY43 @ SV7 ) @ SY95 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(230,plain,
! [SV7: mworld,SV15: mworld,SV21: $i] :
( ( ( ~ ( eiw_di @ SV21 @ SV15 )
| ! [SY120: mworld] :
( ~ ( mrel @ SV15 @ SY120 )
| ( f @ SV21 @ SY120 ) ) )
= $true )
| ( ( mrel @ ( sK17_SY46 @ SV7 ) @ SV15 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(231,plain,
! [SV7: mworld] :
( ( ( ~ ( eiw_di @ ( sK27_SY67 @ SV7 ) @ ( sK15_SX0 @ SV7 ) )
| ~ ! [SY111: mworld] :
( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SY111 )
| ~ ! [SY112: mworld] :
( ~ ( mrel @ SY111 @ SY112 )
| ( f @ ( sK27_SY67 @ SV7 ) @ SY112 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(232,plain,
! [SV20: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK23_SY70 @ SV7 ) @ SV20 ) )
= $true )
| ( ( ! [SY116: $i] :
( ~ ( eiw_di @ SY116 @ SV20 )
| ! [SY117: mworld] :
( ~ ( mrel @ SV20 @ SY117 )
| ( f @ SY116 @ SY117 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(233,plain,
! [SV7: mworld] :
( ( ( ~ ( eiw_di @ ( sK25_SY60 @ SV7 ) @ ( sK14_SX0 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(234,plain,
! [SV7: mworld] :
( ( ( ~ ! [SY103: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SY103 )
| ~ ! [SY104: mworld] :
( ~ ( mrel @ SY103 @ SY104 )
| ( f @ ( sK25_SY60 @ SV7 ) @ SY104 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(235,plain,
! [SV18: mworld,SV7: mworld] :
( ( ( mrel @ ( sK21_SY63 @ SV7 ) @ SV18 )
= $false )
| ( ( ! [SY113: $i] :
( ~ ( eiw_di @ SY113 @ SV18 )
| ! [SY114: mworld] :
( ~ ( mrel @ SV18 @ SY114 )
| ( f @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(236,plain,
! [SV8: $i] :
( ( ( eiw_di @ ( sK24_SY50 @ SV8 ) @ ( sK12_SX0 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(237,plain,
! [SV8: $i] :
( ( ( ! [SY99: mworld] :
( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SY99 )
| ~ ! [SY100: mworld] :
( ~ ( mrel @ SY99 @ SY100 )
| ( f @ ( sK24_SY50 @ SV8 ) @ SY100 ) ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(238,plain,
! [SV8: $i,SV16: mworld,SV22: $i] :
( ( ( ~ ( eiw_di @ SV22 @ SV16 )
| ! [SY121: mworld] :
( ~ ( mrel @ SV16 @ SY121 )
| ( f @ SV22 @ SY121 ) ) )
= $true )
| ( ( mrel @ ( sK18_SY53 @ SV8 ) @ SV16 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(239,plain,
! [SV11: mworld,SV8: $i] :
( ( ( ~ ( ~ ( eiw_di @ ( sK28_SY82 @ SV8 @ SV11 ) @ ( sK19_SX0 @ SV11 @ SV8 ) )
| ~ ! [SY118: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SY118 )
| ~ ! [SY119: mworld] :
( ~ ( mrel @ SY118 @ SY119 )
| ( f @ ( sK28_SY82 @ SV8 @ SV11 ) @ SY119 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(240,plain,
! [SV23: mworld,SV11: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK26_SY85 @ SV8 @ SV11 ) @ SV23 )
| ! [SY122: $i] :
( ~ ( eiw_di @ SY122 @ SV23 )
| ! [SY123: mworld] :
( ~ ( mrel @ SV23 @ SY123 )
| ( f @ SY122 @ SY123 ) ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(241,plain,
! [SV19: mworld,SV7: mworld] :
( ( ( mrel @ ( sK9_SX0 @ SV7 ) @ SV19 )
= $false )
| ( ( ~ ! [SY115: mworld] :
( ~ ( mrel @ SV19 @ SY115 )
| ( f @ ( sK16_SY34 @ SV7 ) @ SY115 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(242,plain,
! [SV7: mworld,SV17: $i,SV24: mworld,SV14: mworld] :
( ( ( ~ ( mrel @ SV14 @ SV24 )
| ( f @ SV17 @ SV24 ) )
= $true )
| ( ( eiw_di @ SV17 @ SV14 )
= $false )
| ( ( mrel @ ( sK13_SY37 @ SV7 ) @ SV14 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(243,plain,
! [SV25: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SV25 )
| ~ ! [SY124: mworld] :
( ~ ( mrel @ SV25 @ SY124 )
| ( f @ ( sK22_SY43 @ SV7 ) @ SY124 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(244,plain,
! [SV7: mworld,SV15: mworld,SV21: $i] :
( ( ( ~ ( eiw_di @ SV21 @ SV15 ) )
= $true )
| ( ( ! [SY120: mworld] :
( ~ ( mrel @ SV15 @ SY120 )
| ( f @ SV21 @ SY120 ) ) )
= $true )
| ( ( mrel @ ( sK17_SY46 @ SV7 ) @ SV15 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(245,plain,
! [SV7: mworld] :
( ( ( ~ ( eiw_di @ ( sK27_SY67 @ SV7 ) @ ( sK15_SX0 @ SV7 ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(246,plain,
! [SV7: mworld] :
( ( ( ~ ! [SY111: mworld] :
( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SY111 )
| ~ ! [SY112: mworld] :
( ~ ( mrel @ SY111 @ SY112 )
| ( f @ ( sK27_SY67 @ SV7 ) @ SY112 ) ) ) )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(247,plain,
! [SV20: mworld,SV7: mworld] :
( ( ( mrel @ ( sK23_SY70 @ SV7 ) @ SV20 )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( eiw_di @ SY116 @ SV20 )
| ! [SY117: mworld] :
( ~ ( mrel @ SV20 @ SY117 )
| ( f @ SY116 @ SY117 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(248,plain,
! [SV7: mworld] :
( ( ( eiw_di @ ( sK25_SY60 @ SV7 ) @ ( sK14_SX0 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(249,plain,
! [SV7: mworld] :
( ( ( ! [SY103: mworld] :
( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SY103 )
| ~ ! [SY104: mworld] :
( ~ ( mrel @ SY103 @ SY104 )
| ( f @ ( sK25_SY60 @ SV7 ) @ SY104 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(250,plain,
! [SV7: mworld,SV18: mworld,SV26: $i] :
( ( ( ~ ( eiw_di @ SV26 @ SV18 )
| ! [SY125: mworld] :
( ~ ( mrel @ SV18 @ SY125 )
| ( f @ SV26 @ SY125 ) ) )
= $true )
| ( ( mrel @ ( sK21_SY63 @ SV7 ) @ SV18 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(251,plain,
! [SV27: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SV27 )
| ~ ! [SY126: mworld] :
( ~ ( mrel @ SV27 @ SY126 )
| ( f @ ( sK24_SY50 @ SV8 ) @ SY126 ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(252,plain,
! [SV8: $i,SV16: mworld,SV22: $i] :
( ( ( ~ ( eiw_di @ SV22 @ SV16 ) )
= $true )
| ( ( ! [SY121: mworld] :
( ~ ( mrel @ SV16 @ SY121 )
| ( f @ SV22 @ SY121 ) ) )
= $true )
| ( ( mrel @ ( sK18_SY53 @ SV8 ) @ SV16 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(253,plain,
! [SV11: mworld,SV8: $i] :
( ( ( ~ ( eiw_di @ ( sK28_SY82 @ SV8 @ SV11 ) @ ( sK19_SX0 @ SV11 @ SV8 ) )
| ~ ! [SY118: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SY118 )
| ~ ! [SY119: mworld] :
( ~ ( mrel @ SY118 @ SY119 )
| ( f @ ( sK28_SY82 @ SV8 @ SV11 ) @ SY119 ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(254,plain,
! [SV23: mworld,SV11: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK26_SY85 @ SV8 @ SV11 ) @ SV23 ) )
= $true )
| ( ( ! [SY122: $i] :
( ~ ( eiw_di @ SY122 @ SV23 )
| ! [SY123: mworld] :
( ~ ( mrel @ SV23 @ SY123 )
| ( f @ SY122 @ SY123 ) ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(255,plain,
! [SV7: mworld,SV19: mworld] :
( ( ( ! [SY115: mworld] :
( ~ ( mrel @ SV19 @ SY115 )
| ( f @ ( sK16_SY34 @ SV7 ) @ SY115 ) ) )
= $false )
| ( ( mrel @ ( sK9_SX0 @ SV7 ) @ SV19 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(256,plain,
! [SV7: mworld,SV17: $i,SV24: mworld,SV14: mworld] :
( ( ( ~ ( mrel @ SV14 @ SV24 ) )
= $true )
| ( ( f @ SV17 @ SV24 )
= $true )
| ( ( eiw_di @ SV17 @ SV14 )
= $false )
| ( ( mrel @ ( sK13_SY37 @ SV7 ) @ SV14 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(257,plain,
! [SV25: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK11_SX0 @ SV7 ) @ SV25 ) )
= $true )
| ( ( ~ ! [SY124: mworld] :
( ~ ( mrel @ SV25 @ SY124 )
| ( f @ ( sK22_SY43 @ SV7 ) @ SY124 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(258,plain,
! [SV7: mworld,SV15: mworld,SV21: $i] :
( ( ( eiw_di @ SV21 @ SV15 )
= $false )
| ( ( ! [SY120: mworld] :
( ~ ( mrel @ SV15 @ SY120 )
| ( f @ SV21 @ SY120 ) ) )
= $true )
| ( ( mrel @ ( sK17_SY46 @ SV7 ) @ SV15 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(259,plain,
! [SV7: mworld] :
( ( ( eiw_di @ ( sK27_SY67 @ SV7 ) @ ( sK15_SX0 @ SV7 ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(260,plain,
! [SV7: mworld] :
( ( ( ! [SY111: mworld] :
( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SY111 )
| ~ ! [SY112: mworld] :
( ~ ( mrel @ SY111 @ SY112 )
| ( f @ ( sK27_SY67 @ SV7 ) @ SY112 ) ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(261,plain,
! [SV7: mworld,SV20: mworld,SV28: $i] :
( ( ( ~ ( eiw_di @ SV28 @ SV20 )
| ! [SY127: mworld] :
( ~ ( mrel @ SV20 @ SY127 )
| ( f @ SV28 @ SY127 ) ) )
= $true )
| ( ( mrel @ ( sK23_SY70 @ SV7 ) @ SV20 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(262,plain,
! [SV29: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SV29 )
| ~ ! [SY128: mworld] :
( ~ ( mrel @ SV29 @ SY128 )
| ( f @ ( sK25_SY60 @ SV7 ) @ SY128 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(263,plain,
! [SV7: mworld,SV18: mworld,SV26: $i] :
( ( ( ~ ( eiw_di @ SV26 @ SV18 ) )
= $true )
| ( ( ! [SY125: mworld] :
( ~ ( mrel @ SV18 @ SY125 )
| ( f @ SV26 @ SY125 ) ) )
= $true )
| ( ( mrel @ ( sK21_SY63 @ SV7 ) @ SV18 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(264,plain,
! [SV27: mworld,SV8: $i] :
( ( ( ~ ( mrel @ ( sK12_SX0 @ SV8 ) @ SV27 ) )
= $true )
| ( ( ~ ! [SY126: mworld] :
( ~ ( mrel @ SV27 @ SY126 )
| ( f @ ( sK24_SY50 @ SV8 ) @ SY126 ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(265,plain,
! [SV8: $i,SV16: mworld,SV22: $i] :
( ( ( eiw_di @ SV22 @ SV16 )
= $false )
| ( ( ! [SY121: mworld] :
( ~ ( mrel @ SV16 @ SY121 )
| ( f @ SV22 @ SY121 ) ) )
= $true )
| ( ( mrel @ ( sK18_SY53 @ SV8 ) @ SV16 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(266,plain,
! [SV11: mworld,SV8: $i] :
( ( ( ~ ( eiw_di @ ( sK28_SY82 @ SV8 @ SV11 ) @ ( sK19_SX0 @ SV11 @ SV8 ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(267,plain,
! [SV8: $i,SV11: mworld] :
( ( ( ~ ! [SY118: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SY118 )
| ~ ! [SY119: mworld] :
( ~ ( mrel @ SY118 @ SY119 )
| ( f @ ( sK28_SY82 @ SV8 @ SV11 ) @ SY119 ) ) ) )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(268,plain,
! [SV23: mworld,SV11: mworld,SV8: $i] :
( ( ( mrel @ ( sK26_SY85 @ SV8 @ SV11 ) @ SV23 )
= $false )
| ( ( ! [SY122: $i] :
( ~ ( eiw_di @ SY122 @ SV23 )
| ! [SY123: mworld] :
( ~ ( mrel @ SV23 @ SY123 )
| ( f @ SY122 @ SY123 ) ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(269,plain,
! [SV7: mworld,SV19: mworld] :
( ( ( ~ ( mrel @ SV19 @ ( sK29_SY115 @ SV7 @ SV19 ) )
| ( f @ ( sK16_SY34 @ SV7 ) @ ( sK29_SY115 @ SV7 @ SV19 ) ) )
= $false )
| ( ( mrel @ ( sK9_SX0 @ SV7 ) @ SV19 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[255]) ).
thf(270,plain,
! [SV7: mworld,SV17: $i,SV24: mworld,SV14: mworld] :
( ( ( mrel @ SV14 @ SV24 )
= $false )
| ( ( f @ SV17 @ SV24 )
= $true )
| ( ( eiw_di @ SV17 @ SV14 )
= $false )
| ( ( mrel @ ( sK13_SY37 @ SV7 ) @ SV14 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(271,plain,
! [SV25: mworld,SV7: mworld] :
( ( ( mrel @ ( sK11_SX0 @ SV7 ) @ SV25 )
= $false )
| ( ( ~ ! [SY124: mworld] :
( ~ ( mrel @ SV25 @ SY124 )
| ( f @ ( sK22_SY43 @ SV7 ) @ SY124 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(272,plain,
! [SV7: mworld,SV21: $i,SV30: mworld,SV15: mworld] :
( ( ( ~ ( mrel @ SV15 @ SV30 )
| ( f @ SV21 @ SV30 ) )
= $true )
| ( ( eiw_di @ SV21 @ SV15 )
= $false )
| ( ( mrel @ ( sK17_SY46 @ SV7 ) @ SV15 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(273,plain,
! [SV31: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SV31 )
| ~ ! [SY129: mworld] :
( ~ ( mrel @ SV31 @ SY129 )
| ( f @ ( sK27_SY67 @ SV7 ) @ SY129 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(274,plain,
! [SV7: mworld,SV20: mworld,SV28: $i] :
( ( ( ~ ( eiw_di @ SV28 @ SV20 ) )
= $true )
| ( ( ! [SY127: mworld] :
( ~ ( mrel @ SV20 @ SY127 )
| ( f @ SV28 @ SY127 ) ) )
= $true )
| ( ( mrel @ ( sK23_SY70 @ SV7 ) @ SV20 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(275,plain,
! [SV29: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK14_SX0 @ SV7 ) @ SV29 ) )
= $true )
| ( ( ~ ! [SY128: mworld] :
( ~ ( mrel @ SV29 @ SY128 )
| ( f @ ( sK25_SY60 @ SV7 ) @ SY128 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(276,plain,
! [SV7: mworld,SV18: mworld,SV26: $i] :
( ( ( eiw_di @ SV26 @ SV18 )
= $false )
| ( ( ! [SY125: mworld] :
( ~ ( mrel @ SV18 @ SY125 )
| ( f @ SV26 @ SY125 ) ) )
= $true )
| ( ( mrel @ ( sK21_SY63 @ SV7 ) @ SV18 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(277,plain,
! [SV27: mworld,SV8: $i] :
( ( ( mrel @ ( sK12_SX0 @ SV8 ) @ SV27 )
= $false )
| ( ( ~ ! [SY126: mworld] :
( ~ ( mrel @ SV27 @ SY126 )
| ( f @ ( sK24_SY50 @ SV8 ) @ SY126 ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(278,plain,
! [SV8: $i,SV22: $i,SV32: mworld,SV16: mworld] :
( ( ( ~ ( mrel @ SV16 @ SV32 )
| ( f @ SV22 @ SV32 ) )
= $true )
| ( ( eiw_di @ SV22 @ SV16 )
= $false )
| ( ( mrel @ ( sK18_SY53 @ SV8 ) @ SV16 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(279,plain,
! [SV11: mworld,SV8: $i] :
( ( ( eiw_di @ ( sK28_SY82 @ SV8 @ SV11 ) @ ( sK19_SX0 @ SV11 @ SV8 ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(280,plain,
! [SV8: $i,SV11: mworld] :
( ( ( ! [SY118: mworld] :
( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SY118 )
| ~ ! [SY119: mworld] :
( ~ ( mrel @ SY118 @ SY119 )
| ( f @ ( sK28_SY82 @ SV8 @ SV11 ) @ SY119 ) ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(281,plain,
! [SV11: mworld,SV8: $i,SV23: mworld,SV33: $i] :
( ( ( ~ ( eiw_di @ SV33 @ SV23 )
| ! [SY130: mworld] :
( ~ ( mrel @ SV23 @ SY130 )
| ( f @ SV33 @ SY130 ) ) )
= $true )
| ( ( mrel @ ( sK26_SY85 @ SV8 @ SV11 ) @ SV23 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(282,plain,
! [SV7: mworld,SV19: mworld] :
( ( ( ~ ( mrel @ SV19 @ ( sK29_SY115 @ SV7 @ SV19 ) ) )
= $false )
| ( ( mrel @ ( sK9_SX0 @ SV7 ) @ SV19 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(283,plain,
! [SV19: mworld,SV7: mworld] :
( ( ( f @ ( sK16_SY34 @ SV7 ) @ ( sK29_SY115 @ SV7 @ SV19 ) )
= $false )
| ( ( mrel @ ( sK9_SX0 @ SV7 ) @ SV19 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(284,plain,
! [SV7: mworld,SV25: mworld] :
( ( ( ! [SY124: mworld] :
( ~ ( mrel @ SV25 @ SY124 )
| ( f @ ( sK22_SY43 @ SV7 ) @ SY124 ) ) )
= $false )
| ( ( mrel @ ( sK11_SX0 @ SV7 ) @ SV25 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(285,plain,
! [SV7: mworld,SV21: $i,SV30: mworld,SV15: mworld] :
( ( ( ~ ( mrel @ SV15 @ SV30 ) )
= $true )
| ( ( f @ SV21 @ SV30 )
= $true )
| ( ( eiw_di @ SV21 @ SV15 )
= $false )
| ( ( mrel @ ( sK17_SY46 @ SV7 ) @ SV15 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(286,plain,
! [SV31: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ ( sK15_SX0 @ SV7 ) @ SV31 ) )
= $true )
| ( ( ~ ! [SY129: mworld] :
( ~ ( mrel @ SV31 @ SY129 )
| ( f @ ( sK27_SY67 @ SV7 ) @ SY129 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(287,plain,
! [SV7: mworld,SV20: mworld,SV28: $i] :
( ( ( eiw_di @ SV28 @ SV20 )
= $false )
| ( ( ! [SY127: mworld] :
( ~ ( mrel @ SV20 @ SY127 )
| ( f @ SV28 @ SY127 ) ) )
= $true )
| ( ( mrel @ ( sK23_SY70 @ SV7 ) @ SV20 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(288,plain,
! [SV29: mworld,SV7: mworld] :
( ( ( mrel @ ( sK14_SX0 @ SV7 ) @ SV29 )
= $false )
| ( ( ~ ! [SY128: mworld] :
( ~ ( mrel @ SV29 @ SY128 )
| ( f @ ( sK25_SY60 @ SV7 ) @ SY128 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(289,plain,
! [SV7: mworld,SV26: $i,SV34: mworld,SV18: mworld] :
( ( ( ~ ( mrel @ SV18 @ SV34 )
| ( f @ SV26 @ SV34 ) )
= $true )
| ( ( eiw_di @ SV26 @ SV18 )
= $false )
| ( ( mrel @ ( sK21_SY63 @ SV7 ) @ SV18 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(290,plain,
! [SV8: $i,SV27: mworld] :
( ( ( ! [SY126: mworld] :
( ~ ( mrel @ SV27 @ SY126 )
| ( f @ ( sK24_SY50 @ SV8 ) @ SY126 ) ) )
= $false )
| ( ( mrel @ ( sK12_SX0 @ SV8 ) @ SV27 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(291,plain,
! [SV8: $i,SV22: $i,SV32: mworld,SV16: mworld] :
( ( ( ~ ( mrel @ SV16 @ SV32 ) )
= $true )
| ( ( f @ SV22 @ SV32 )
= $true )
| ( ( eiw_di @ SV22 @ SV16 )
= $false )
| ( ( mrel @ ( sK18_SY53 @ SV8 ) @ SV16 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(292,plain,
! [SV35: mworld,SV8: $i,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SV35 )
| ~ ! [SY131: mworld] :
( ~ ( mrel @ SV35 @ SY131 )
| ( f @ ( sK28_SY82 @ SV8 @ SV11 ) @ SY131 ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(293,plain,
! [SV11: mworld,SV8: $i,SV23: mworld,SV33: $i] :
( ( ( ~ ( eiw_di @ SV33 @ SV23 ) )
= $true )
| ( ( ! [SY130: mworld] :
( ~ ( mrel @ SV23 @ SY130 )
| ( f @ SV33 @ SY130 ) ) )
= $true )
| ( ( mrel @ ( sK26_SY85 @ SV8 @ SV11 ) @ SV23 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(294,plain,
! [SV7: mworld,SV19: mworld] :
( ( ( mrel @ SV19 @ ( sK29_SY115 @ SV7 @ SV19 ) )
= $true )
| ( ( mrel @ ( sK9_SX0 @ SV7 ) @ SV19 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ SV7 @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(295,plain,
! [SV7: mworld,SV25: mworld] :
( ( ( ~ ( mrel @ SV25 @ ( sK30_SY124 @ SV7 @ SV25 ) )
| ( f @ ( sK22_SY43 @ SV7 ) @ ( sK30_SY124 @ SV7 @ SV25 ) ) )
= $false )
| ( ( mrel @ ( sK11_SX0 @ SV7 ) @ SV25 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[284]) ).
thf(296,plain,
! [SV7: mworld,SV21: $i,SV30: mworld,SV15: mworld] :
( ( ( mrel @ SV15 @ SV30 )
= $false )
| ( ( f @ SV21 @ SV30 )
= $true )
| ( ( eiw_di @ SV21 @ SV15 )
= $false )
| ( ( mrel @ ( sK17_SY46 @ SV7 ) @ SV15 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(297,plain,
! [SV31: mworld,SV7: mworld] :
( ( ( mrel @ ( sK15_SX0 @ SV7 ) @ SV31 )
= $false )
| ( ( ~ ! [SY129: mworld] :
( ~ ( mrel @ SV31 @ SY129 )
| ( f @ ( sK27_SY67 @ SV7 ) @ SY129 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(298,plain,
! [SV7: mworld,SV28: $i,SV36: mworld,SV20: mworld] :
( ( ( ~ ( mrel @ SV20 @ SV36 )
| ( f @ SV28 @ SV36 ) )
= $true )
| ( ( eiw_di @ SV28 @ SV20 )
= $false )
| ( ( mrel @ ( sK23_SY70 @ SV7 ) @ SV20 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(299,plain,
! [SV7: mworld,SV29: mworld] :
( ( ( ! [SY128: mworld] :
( ~ ( mrel @ SV29 @ SY128 )
| ( f @ ( sK25_SY60 @ SV7 ) @ SY128 ) ) )
= $false )
| ( ( mrel @ ( sK14_SX0 @ SV7 ) @ SV29 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(300,plain,
! [SV7: mworld,SV26: $i,SV34: mworld,SV18: mworld] :
( ( ( ~ ( mrel @ SV18 @ SV34 ) )
= $true )
| ( ( f @ SV26 @ SV34 )
= $true )
| ( ( eiw_di @ SV26 @ SV18 )
= $false )
| ( ( mrel @ ( sK21_SY63 @ SV7 ) @ SV18 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(301,plain,
! [SV8: $i,SV27: mworld] :
( ( ( ~ ( mrel @ SV27 @ ( sK31_SY126 @ SV8 @ SV27 ) )
| ( f @ ( sK24_SY50 @ SV8 ) @ ( sK31_SY126 @ SV8 @ SV27 ) ) )
= $false )
| ( ( mrel @ ( sK12_SX0 @ SV8 ) @ SV27 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[290]) ).
thf(302,plain,
! [SV8: $i,SV22: $i,SV32: mworld,SV16: mworld] :
( ( ( mrel @ SV16 @ SV32 )
= $false )
| ( ( f @ SV22 @ SV32 )
= $true )
| ( ( eiw_di @ SV22 @ SV16 )
= $false )
| ( ( mrel @ ( sK18_SY53 @ SV8 ) @ SV16 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(303,plain,
! [SV35: mworld,SV8: $i,SV11: mworld] :
( ( ( ~ ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SV35 ) )
= $true )
| ( ( ~ ! [SY131: mworld] :
( ~ ( mrel @ SV35 @ SY131 )
| ( f @ ( sK28_SY82 @ SV8 @ SV11 ) @ SY131 ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(304,plain,
! [SV11: mworld,SV8: $i,SV23: mworld,SV33: $i] :
( ( ( eiw_di @ SV33 @ SV23 )
= $false )
| ( ( ! [SY130: mworld] :
( ~ ( mrel @ SV23 @ SY130 )
| ( f @ SV33 @ SY130 ) ) )
= $true )
| ( ( mrel @ ( sK26_SY85 @ SV8 @ SV11 ) @ SV23 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(305,plain,
! [SV7: mworld,SV25: mworld] :
( ( ( ~ ( mrel @ SV25 @ ( sK30_SY124 @ SV7 @ SV25 ) ) )
= $false )
| ( ( mrel @ ( sK11_SX0 @ SV7 ) @ SV25 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(306,plain,
! [SV25: mworld,SV7: mworld] :
( ( ( f @ ( sK22_SY43 @ SV7 ) @ ( sK30_SY124 @ SV7 @ SV25 ) )
= $false )
| ( ( mrel @ ( sK11_SX0 @ SV7 ) @ SV25 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(307,plain,
! [SV7: mworld,SV31: mworld] :
( ( ( ! [SY129: mworld] :
( ~ ( mrel @ SV31 @ SY129 )
| ( f @ ( sK27_SY67 @ SV7 ) @ SY129 ) ) )
= $false )
| ( ( mrel @ ( sK15_SX0 @ SV7 ) @ SV31 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(308,plain,
! [SV7: mworld,SV28: $i,SV36: mworld,SV20: mworld] :
( ( ( ~ ( mrel @ SV20 @ SV36 ) )
= $true )
| ( ( f @ SV28 @ SV36 )
= $true )
| ( ( eiw_di @ SV28 @ SV20 )
= $false )
| ( ( mrel @ ( sK23_SY70 @ SV7 ) @ SV20 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(309,plain,
! [SV7: mworld,SV29: mworld] :
( ( ( ~ ( mrel @ SV29 @ ( sK32_SY128 @ SV7 @ SV29 ) )
| ( f @ ( sK25_SY60 @ SV7 ) @ ( sK32_SY128 @ SV7 @ SV29 ) ) )
= $false )
| ( ( mrel @ ( sK14_SX0 @ SV7 ) @ SV29 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[299]) ).
thf(310,plain,
! [SV7: mworld,SV26: $i,SV34: mworld,SV18: mworld] :
( ( ( mrel @ SV18 @ SV34 )
= $false )
| ( ( f @ SV26 @ SV34 )
= $true )
| ( ( eiw_di @ SV26 @ SV18 )
= $false )
| ( ( mrel @ ( sK21_SY63 @ SV7 ) @ SV18 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(311,plain,
! [SV8: $i,SV27: mworld] :
( ( ( ~ ( mrel @ SV27 @ ( sK31_SY126 @ SV8 @ SV27 ) ) )
= $false )
| ( ( mrel @ ( sK12_SX0 @ SV8 ) @ SV27 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(312,plain,
! [SV27: mworld,SV8: $i] :
( ( ( f @ ( sK24_SY50 @ SV8 ) @ ( sK31_SY126 @ SV8 @ SV27 ) )
= $false )
| ( ( mrel @ ( sK12_SX0 @ SV8 ) @ SV27 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(313,plain,
! [SV35: mworld,SV8: $i,SV11: mworld] :
( ( ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SV35 )
= $false )
| ( ( ~ ! [SY131: mworld] :
( ~ ( mrel @ SV35 @ SY131 )
| ( f @ ( sK28_SY82 @ SV8 @ SV11 ) @ SY131 ) ) )
= $true )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(314,plain,
! [SV11: mworld,SV8: $i,SV33: $i,SV37: mworld,SV23: mworld] :
( ( ( ~ ( mrel @ SV23 @ SV37 )
| ( f @ SV33 @ SV37 ) )
= $true )
| ( ( eiw_di @ SV33 @ SV23 )
= $false )
| ( ( mrel @ ( sK26_SY85 @ SV8 @ SV11 ) @ SV23 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(315,plain,
! [SV7: mworld,SV25: mworld] :
( ( ( mrel @ SV25 @ ( sK30_SY124 @ SV7 @ SV25 ) )
= $true )
| ( ( mrel @ ( sK11_SX0 @ SV7 ) @ SV25 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( eiw_di @ ( sK7_SY26 @ SV7 ) @ ( sK5_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(316,plain,
! [SV7: mworld,SV31: mworld] :
( ( ( ~ ( mrel @ SV31 @ ( sK33_SY129 @ SV7 @ SV31 ) )
| ( f @ ( sK27_SY67 @ SV7 ) @ ( sK33_SY129 @ SV7 @ SV31 ) ) )
= $false )
| ( ( mrel @ ( sK15_SX0 @ SV7 ) @ SV31 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[307]) ).
thf(317,plain,
! [SV7: mworld,SV28: $i,SV36: mworld,SV20: mworld] :
( ( ( mrel @ SV20 @ SV36 )
= $false )
| ( ( f @ SV28 @ SV36 )
= $true )
| ( ( eiw_di @ SV28 @ SV20 )
= $false )
| ( ( mrel @ ( sK23_SY70 @ SV7 ) @ SV20 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(318,plain,
! [SV7: mworld,SV29: mworld] :
( ( ( ~ ( mrel @ SV29 @ ( sK32_SY128 @ SV7 @ SV29 ) ) )
= $false )
| ( ( mrel @ ( sK14_SX0 @ SV7 ) @ SV29 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(319,plain,
! [SV29: mworld,SV7: mworld] :
( ( ( f @ ( sK25_SY60 @ SV7 ) @ ( sK32_SY128 @ SV7 @ SV29 ) )
= $false )
| ( ( mrel @ ( sK14_SX0 @ SV7 ) @ SV29 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(320,plain,
! [SV8: $i,SV27: mworld] :
( ( ( mrel @ SV27 @ ( sK31_SY126 @ SV8 @ SV27 ) )
= $true )
| ( ( mrel @ ( sK12_SX0 @ SV8 ) @ SV27 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( mrel @ sK2_SX0 @ ( sK8_SY21 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(321,plain,
! [SV11: mworld,SV8: $i,SV35: mworld] :
( ( ( ! [SY131: mworld] :
( ~ ( mrel @ SV35 @ SY131 )
| ( f @ ( sK28_SY82 @ SV8 @ SV11 ) @ SY131 ) ) )
= $false )
| ( ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SV35 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(322,plain,
! [SV11: mworld,SV8: $i,SV33: $i,SV37: mworld,SV23: mworld] :
( ( ( ~ ( mrel @ SV23 @ SV37 ) )
= $true )
| ( ( f @ SV33 @ SV37 )
= $true )
| ( ( eiw_di @ SV33 @ SV23 )
= $false )
| ( ( mrel @ ( sK26_SY85 @ SV8 @ SV11 ) @ SV23 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(323,plain,
! [SV7: mworld,SV31: mworld] :
( ( ( ~ ( mrel @ SV31 @ ( sK33_SY129 @ SV7 @ SV31 ) ) )
= $false )
| ( ( mrel @ ( sK15_SX0 @ SV7 ) @ SV31 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(324,plain,
! [SV31: mworld,SV7: mworld] :
( ( ( f @ ( sK27_SY67 @ SV7 ) @ ( sK33_SY129 @ SV7 @ SV31 ) )
= $false )
| ( ( mrel @ ( sK15_SX0 @ SV7 ) @ SV31 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(325,plain,
! [SV7: mworld,SV29: mworld] :
( ( ( mrel @ SV29 @ ( sK32_SY128 @ SV7 @ SV29 ) )
= $true )
| ( ( mrel @ ( sK14_SX0 @ SV7 ) @ SV29 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( f @ ( sK7_SY26 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(326,plain,
! [SV8: $i,SV11: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ SV35 @ ( sK34_SY131 @ SV11 @ SV8 @ SV35 ) )
| ( f @ ( sK28_SY82 @ SV8 @ SV11 ) @ ( sK34_SY131 @ SV11 @ SV8 @ SV35 ) ) )
= $false )
| ( ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SV35 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[321]) ).
thf(327,plain,
! [SV11: mworld,SV8: $i,SV33: $i,SV37: mworld,SV23: mworld] :
( ( ( mrel @ SV23 @ SV37 )
= $false )
| ( ( f @ SV33 @ SV37 )
= $true )
| ( ( eiw_di @ SV33 @ SV23 )
= $false )
| ( ( mrel @ ( sK26_SY85 @ SV8 @ SV11 ) @ SV23 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(328,plain,
! [SV7: mworld,SV31: mworld] :
( ( ( mrel @ SV31 @ ( sK33_SY129 @ SV7 @ SV31 ) )
= $true )
| ( ( mrel @ ( sK15_SX0 @ SV7 ) @ SV31 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV7 )
= $false )
| ( ( mrel @ ( sK5_SY18 @ SV7 ) @ ( sK10_SY32 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(329,plain,
! [SV8: $i,SV11: mworld,SV35: mworld] :
( ( ( ~ ( mrel @ SV35 @ ( sK34_SY131 @ SV11 @ SV8 @ SV35 ) ) )
= $false )
| ( ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SV35 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(330,plain,
! [SV35: mworld,SV11: mworld,SV8: $i] :
( ( ( f @ ( sK28_SY82 @ SV8 @ SV11 ) @ ( sK34_SY131 @ SV11 @ SV8 @ SV35 ) )
= $false )
| ( ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SV35 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(331,plain,
! [SV8: $i,SV11: mworld,SV35: mworld] :
( ( ( mrel @ SV35 @ ( sK34_SY131 @ SV11 @ SV8 @ SV35 ) )
= $true )
| ( ( mrel @ ( sK19_SX0 @ SV11 @ SV8 ) @ SV35 )
= $false )
| ( ( eiw_di @ SV8 @ sK2_SX0 )
= $false )
| ( ( f @ SV8 @ SV11 )
= $true )
| ( ( mrel @ ( sK8_SY21 @ SV8 ) @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(332,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,331,330,328,327,325,324,320,319,317,315,312,310,306,302,296,294,283,279,270,259,248,236,228,224,202,196,190,180,177,175,167,163,152,146,139,133,126,120,96,84,59,44,30,18]) ).
thf(333,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL959^24 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 3 05:48:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 3
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 1613
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.37 (rf:0,axioms:3,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:5,loop_count:0,foatp_calls:0,translation:fof_full)..........................
% 0.36/0.56
% 0.36/0.56 ********************************
% 0.36/0.56 * All subproblems solved! *
% 0.36/0.56 ********************************
% 0.36/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:332,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.36/0.62
% 0.36/0.62 %**** Beginning of derivation protocol ****
% 0.36/0.62 % SZS output start CNFRefutation
% See solution above
% 0.36/0.62
% 0.36/0.62 %**** End of derivation protocol ****
% 0.36/0.62 %**** no. of clauses in derivation: 333 ****
% 0.36/0.62 %**** clause counter: 332 ****
% 0.36/0.62
% 0.36/0.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:332,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------