TSTP Solution File: SYN393^4.002 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN393^4.002 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n004.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 : Thu Jul 21 08:25:54 EDT 2022
% Result : Theorem 75.83s 76.03s
% Output : CNFRefutation 75.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 65
% Syntax : Number of formulae : 350 ( 145 unt; 43 typ; 19 def)
% Number of atoms : 2865 ( 559 equ; 0 cnn)
% Maximal formula atoms : 12 ( 9 avg)
% Number of connectives : 5683 (1847 ~;1243 |; 81 &;2417 @)
% ( 0 <=>; 95 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 101 ( 101 >; 0 *; 0 +; 0 <<)
% Number of symbols : 46 ( 43 usr; 19 con; 0-3 aty)
% Number of variables : 556 ( 31 ^ 523 !; 2 ?; 556 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a1,type,
a1: $i > $o ).
thf(tp_a2,type,
a2: $i > $o ).
thf(tp_iand,type,
iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_iatom,type,
iatom: ( $i > $o ) > $i > $o ).
thf(tp_icountersatisfiable,type,
icountersatisfiable: ( $i > $o ) > $o ).
thf(tp_iequiv,type,
iequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_ifalse,type,
ifalse: $i > $o ).
thf(tp_iimplied,type,
iimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_iimplies,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_iinvalid,type,
iinvalid: ( $i > $o ) > $o ).
thf(tp_inot,type,
inot: ( $i > $o ) > $i > $o ).
thf(tp_ior,type,
ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_irel,type,
irel: $i > $i > $o ).
thf(tp_isatisfiable,type,
isatisfiable: ( $i > $o ) > $o ).
thf(tp_itrue,type,
itrue: $i > $o ).
thf(tp_ivalid,type,
ivalid: ( $i > $o ) > $o ).
thf(tp_ixor,type,
ixor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mbox_s4,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(tp_mimplies,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mnot,type,
mnot: ( $i > $o ) > $i > $o ).
thf(tp_mor,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_sK10_REN,type,
sK10_REN: $o ).
thf(tp_sK11_REN,type,
sK11_REN: $o ).
thf(tp_sK12_SY435,type,
sK12_SY435: $i ).
thf(tp_sK13_SY455,type,
sK13_SY455: $i ).
thf(tp_sK14_SY454,type,
sK14_SY454: $i ).
thf(tp_sK15_SY452,type,
sK15_SY452: $i ).
thf(tp_sK16_SY451,type,
sK16_SY451: $i ).
thf(tp_sK17_SY367,type,
sK17_SY367: $i > $i ).
thf(tp_sK18_SY365,type,
sK18_SY365: $i > $i ).
thf(tp_sK19_REN,type,
sK19_REN: $o ).
thf(tp_sK1_SY374,type,
sK1_SY374: $i ).
thf(tp_sK20_REN,type,
sK20_REN: $o ).
thf(tp_sK21_REN,type,
sK21_REN: $o ).
thf(tp_sK2_SY425,type,
sK2_SY425: $i ).
thf(tp_sK3_SY447,type,
sK3_SY447: $i ).
thf(tp_sK4_SY446,type,
sK4_SY446: $i ).
thf(tp_sK5_SY444,type,
sK5_SY444: $i ).
thf(tp_sK6_SY443,type,
sK6_SY443: $i ).
thf(tp_sK7_SY206,type,
sK7_SY206: $i > $i ).
thf(tp_sK8_SY204,type,
sK8_SY204: $i > $i ).
thf(tp_sK9_REN,type,
sK9_REN: $o ).
thf(iand,definition,
( iand
= ( ^ [P: $i > $o,Q: $i > $o] : ( mand @ P @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iand) ).
thf(iatom,definition,
( iatom
= ( ^ [P: $i > $o] : P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iatom) ).
thf(icountersatisfiable,definition,
( icountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icountersatisfiable) ).
thf(iequiv,definition,
( iequiv
= ( ^ [P: $i > $o,Q: $i > $o] : ( iand @ ( iimplies @ P @ Q ) @ ( iimplies @ Q @ P ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iequiv) ).
thf(ifalse,definition,
( ifalse
= ( inot @ itrue ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifalse) ).
thf(iimplied,definition,
( iimplied
= ( ^ [P: $i > $o,Q: $i > $o] : ( iimplies @ Q @ P ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iimplied) ).
thf(iimplies,definition,
( iimplies
= ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iimplies) ).
thf(iinvalid,definition,
( iinvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iinvalid) ).
thf(inot,definition,
( inot
= ( ^ [P: $i > $o] : ( mnot @ ( mbox_s4 @ P ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inot) ).
thf(ior,definition,
( ior
= ( ^ [P: $i > $o,Q: $i > $o] : ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ior) ).
thf(isatisfiable,definition,
( isatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isatisfiable) ).
thf(itrue,definition,
( itrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',itrue) ).
thf(ivalid,definition,
( ivalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ivalid) ).
thf(ixor,definition,
( ixor
= ( ^ [P: $i > $o,Q: $i > $o] : ( inot @ ( iequiv @ P @ Q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ixor) ).
thf(mand,definition,
( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand) ).
thf(mbox_s4,definition,
( mbox_s4
= ( ^ [P: $i > $o,X: $i] :
! [Y: $i] :
( ( irel @ X @ Y )
=> ( P @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_s4) ).
thf(mimplies,definition,
( mimplies
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies) ).
thf(mnot,definition,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor) ).
thf(1,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( irel @ X @ Y )
& ( irel @ Y @ Z ) )
=> ( irel @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_axiom) ).
thf(2,axiom,
! [X: $i] : ( irel @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_axiom) ).
thf(3,conjecture,
ivalid @ ( iequiv @ ( iequiv @ ( iatom @ a1 ) @ ( iatom @ a2 ) ) @ ( iequiv @ ( iatom @ a2 ) @ ( iatom @ a1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(4,negated_conjecture,
( ( ivalid @ ( iequiv @ ( iequiv @ ( iatom @ a1 ) @ ( iatom @ a2 ) ) @ ( iequiv @ ( iatom @ a2 ) @ ( iatom @ a1 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( ! [SY374: $i] :
( ( ~ ! [SY375: $i] :
( ( irel @ SY374 @ SY375 )
=> ( ( ~ ! [SY204: $i] :
( ( irel @ SY375 @ SY204 )
=> ( a1 @ SY204 ) )
| ! [SY205: $i] :
( ( irel @ SY375 @ SY205 )
=> ( a2 @ SY205 ) ) )
& ( ~ ! [SY206: $i] :
( ( irel @ SY375 @ SY206 )
=> ( a2 @ SY206 ) )
| ! [SY207: $i] :
( ( irel @ SY375 @ SY207 )
=> ( a1 @ SY207 ) ) ) ) )
| ! [SY380: $i] :
( ( irel @ SY374 @ SY380 )
=> ( ( ~ ! [SY360: $i] :
( ( irel @ SY380 @ SY360 )
=> ( a2 @ SY360 ) )
| ! [SY361: $i] :
( ( irel @ SY380 @ SY361 )
=> ( a1 @ SY361 ) ) )
& ( ~ ! [SY362: $i] :
( ( irel @ SY380 @ SY362 )
=> ( a1 @ SY362 ) )
| ! [SY363: $i] :
( ( irel @ SY380 @ SY363 )
=> ( a2 @ SY363 ) ) ) ) ) )
& ( ~ ! [SY385: $i] :
( ( irel @ SY374 @ SY385 )
=> ( ( ~ ! [SY365: $i] :
( ( irel @ SY385 @ SY365 )
=> ( a2 @ SY365 ) )
| ! [SY366: $i] :
( ( irel @ SY385 @ SY366 )
=> ( a1 @ SY366 ) ) )
& ( ~ ! [SY367: $i] :
( ( irel @ SY385 @ SY367 )
=> ( a1 @ SY367 ) )
| ! [SY368: $i] :
( ( irel @ SY385 @ SY368 )
=> ( a2 @ SY368 ) ) ) ) )
| ! [SY390: $i] :
( ( irel @ SY374 @ SY390 )
=> ( ( ~ ! [SY279: $i] :
( ( irel @ SY390 @ SY279 )
=> ( a1 @ SY279 ) )
| ! [SY280: $i] :
( ( irel @ SY390 @ SY280 )
=> ( a2 @ SY280 ) ) )
& ( ~ ! [SY281: $i] :
( ( irel @ SY390 @ SY281 )
=> ( a2 @ SY281 ) )
| ! [SY282: $i] :
( ( irel @ SY390 @ SY282 )
=> ( a1 @ SY282 ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[4,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(6,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( irel @ X @ Y )
& ( irel @ Y @ Z ) )
=> ( irel @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(7,plain,
( ( ! [X: $i] : ( irel @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[2,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(8,plain,
( ( ( ~ ! [SY420: $i] :
( ( irel @ sK1_SY374 @ SY420 )
=> ( ( ~ ! [SY204: $i] :
( ( irel @ SY420 @ SY204 )
=> ( a1 @ SY204 ) )
| ! [SY205: $i] :
( ( irel @ SY420 @ SY205 )
=> ( a2 @ SY205 ) ) )
& ( ~ ! [SY206: $i] :
( ( irel @ SY420 @ SY206 )
=> ( a2 @ SY206 ) )
| ! [SY207: $i] :
( ( irel @ SY420 @ SY207 )
=> ( a1 @ SY207 ) ) ) ) )
| ! [SY425: $i] :
( ( irel @ sK1_SY374 @ SY425 )
=> ( ( ~ ! [SY360: $i] :
( ( irel @ SY425 @ SY360 )
=> ( a2 @ SY360 ) )
| ! [SY361: $i] :
( ( irel @ SY425 @ SY361 )
=> ( a1 @ SY361 ) ) )
& ( ~ ! [SY362: $i] :
( ( irel @ SY425 @ SY362 )
=> ( a1 @ SY362 ) )
| ! [SY363: $i] :
( ( irel @ SY425 @ SY363 )
=> ( a2 @ SY363 ) ) ) ) ) )
& ( ~ ! [SY430: $i] :
( ( irel @ sK1_SY374 @ SY430 )
=> ( ( ~ ! [SY365: $i] :
( ( irel @ SY430 @ SY365 )
=> ( a2 @ SY365 ) )
| ! [SY366: $i] :
( ( irel @ SY430 @ SY366 )
=> ( a1 @ SY366 ) ) )
& ( ~ ! [SY367: $i] :
( ( irel @ SY430 @ SY367 )
=> ( a1 @ SY367 ) )
| ! [SY368: $i] :
( ( irel @ SY430 @ SY368 )
=> ( a2 @ SY368 ) ) ) ) )
| ! [SY435: $i] :
( ( irel @ sK1_SY374 @ SY435 )
=> ( ( ~ ! [SY279: $i] :
( ( irel @ SY435 @ SY279 )
=> ( a1 @ SY279 ) )
| ! [SY280: $i] :
( ( irel @ SY435 @ SY280 )
=> ( a2 @ SY280 ) ) )
& ( ~ ! [SY281: $i] :
( ( irel @ SY435 @ SY281 )
=> ( a2 @ SY281 ) )
| ! [SY282: $i] :
( ( irel @ SY435 @ SY282 )
=> ( a1 @ SY282 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(9,plain,
( ( ~ ! [SY420: $i] :
( ( irel @ sK1_SY374 @ SY420 )
=> ( ( ~ ! [SY204: $i] :
( ( irel @ SY420 @ SY204 )
=> ( a1 @ SY204 ) )
| ! [SY205: $i] :
( ( irel @ SY420 @ SY205 )
=> ( a2 @ SY205 ) ) )
& ( ~ ! [SY206: $i] :
( ( irel @ SY420 @ SY206 )
=> ( a2 @ SY206 ) )
| ! [SY207: $i] :
( ( irel @ SY420 @ SY207 )
=> ( a1 @ SY207 ) ) ) ) )
| ! [SY425: $i] :
( ( irel @ sK1_SY374 @ SY425 )
=> ( ( ~ ! [SY360: $i] :
( ( irel @ SY425 @ SY360 )
=> ( a2 @ SY360 ) )
| ! [SY361: $i] :
( ( irel @ SY425 @ SY361 )
=> ( a1 @ SY361 ) ) )
& ( ~ ! [SY362: $i] :
( ( irel @ SY425 @ SY362 )
=> ( a1 @ SY362 ) )
| ! [SY363: $i] :
( ( irel @ SY425 @ SY363 )
=> ( a2 @ SY363 ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[8]) ).
thf(10,plain,
( ( ~ ! [SY430: $i] :
( ( irel @ sK1_SY374 @ SY430 )
=> ( ( ~ ! [SY365: $i] :
( ( irel @ SY430 @ SY365 )
=> ( a2 @ SY365 ) )
| ! [SY366: $i] :
( ( irel @ SY430 @ SY366 )
=> ( a1 @ SY366 ) ) )
& ( ~ ! [SY367: $i] :
( ( irel @ SY430 @ SY367 )
=> ( a1 @ SY367 ) )
| ! [SY368: $i] :
( ( irel @ SY430 @ SY368 )
=> ( a2 @ SY368 ) ) ) ) )
| ! [SY435: $i] :
( ( irel @ sK1_SY374 @ SY435 )
=> ( ( ~ ! [SY279: $i] :
( ( irel @ SY435 @ SY279 )
=> ( a1 @ SY279 ) )
| ! [SY280: $i] :
( ( irel @ SY435 @ SY280 )
=> ( a2 @ SY280 ) ) )
& ( ~ ! [SY281: $i] :
( ( irel @ SY435 @ SY281 )
=> ( a2 @ SY281 ) )
| ! [SY282: $i] :
( ( irel @ SY435 @ SY282 )
=> ( a1 @ SY282 ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[8]) ).
thf(11,plain,
( ( ~ ( ~ ! [SY420: $i] :
( ( irel @ sK1_SY374 @ SY420 )
=> ( ( ~ ! [SY204: $i] :
( ( irel @ SY420 @ SY204 )
=> ( a1 @ SY204 ) )
| ! [SY205: $i] :
( ( irel @ SY420 @ SY205 )
=> ( a2 @ SY205 ) ) )
& ( ~ ! [SY206: $i] :
( ( irel @ SY420 @ SY206 )
=> ( a2 @ SY206 ) )
| ! [SY207: $i] :
( ( irel @ SY420 @ SY207 )
=> ( a1 @ SY207 ) ) ) ) )
| ! [SY425: $i] :
( ( irel @ sK1_SY374 @ SY425 )
=> ( ( ~ ! [SY360: $i] :
( ( irel @ SY425 @ SY360 )
=> ( a2 @ SY360 ) )
| ! [SY361: $i] :
( ( irel @ SY425 @ SY361 )
=> ( a1 @ SY361 ) ) )
& ( ~ ! [SY362: $i] :
( ( irel @ SY425 @ SY362 )
=> ( a1 @ SY362 ) )
| ! [SY363: $i] :
( ( irel @ SY425 @ SY363 )
=> ( a2 @ SY363 ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ( ~ ! [SY430: $i] :
( ( irel @ sK1_SY374 @ SY430 )
=> ( ( ~ ! [SY365: $i] :
( ( irel @ SY430 @ SY365 )
=> ( a2 @ SY365 ) )
| ! [SY366: $i] :
( ( irel @ SY430 @ SY366 )
=> ( a1 @ SY366 ) ) )
& ( ~ ! [SY367: $i] :
( ( irel @ SY430 @ SY367 )
=> ( a1 @ SY367 ) )
| ! [SY368: $i] :
( ( irel @ SY430 @ SY368 )
=> ( a2 @ SY368 ) ) ) ) )
| ! [SY435: $i] :
( ( irel @ sK1_SY374 @ SY435 )
=> ( ( ~ ! [SY279: $i] :
( ( irel @ SY435 @ SY279 )
=> ( a1 @ SY279 ) )
| ! [SY280: $i] :
( ( irel @ SY435 @ SY280 )
=> ( a2 @ SY280 ) ) )
& ( ~ ! [SY281: $i] :
( ( irel @ SY435 @ SY281 )
=> ( a2 @ SY281 ) )
| ! [SY282: $i] :
( ( irel @ SY435 @ SY282 )
=> ( a1 @ SY282 ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(13,plain,
( ( ! [SY420: $i] :
( ~ ( irel @ sK1_SY374 @ SY420 )
| ( ( irel @ SY420 @ ( sK8_SY204 @ SY420 ) )
& ~ ( a1 @ ( sK8_SY204 @ SY420 ) ) )
| ! [SY205: $i] :
( ~ ( irel @ SY420 @ SY205 )
| ( a2 @ SY205 ) ) )
& ! [SY420: $i] :
( ~ ( irel @ sK1_SY374 @ SY420 )
| ( ( irel @ SY420 @ ( sK7_SY206 @ SY420 ) )
& ~ ( a2 @ ( sK7_SY206 @ SY420 ) ) )
| ! [SY207: $i] :
( ~ ( irel @ SY420 @ SY207 )
| ( a1 @ SY207 ) ) )
& ( irel @ sK1_SY374 @ sK2_SY425 )
& ( ! [SY440: $i] :
( ~ ( irel @ sK2_SY425 @ SY440 )
| ( a2 @ SY440 ) )
| ! [SY441: $i] :
( ~ ( irel @ sK2_SY425 @ SY441 )
| ( a1 @ SY441 ) ) )
& ( ! [SY442: $i] :
( ~ ( irel @ sK2_SY425 @ SY442 )
| ( a2 @ SY442 ) )
| sK11_REN )
& ( sK11_REN
=> ( ( irel @ sK2_SY425 @ sK6_SY443 )
& ~ ( a2 @ sK6_SY443 ) ) )
& ( sK10_REN
| ! [SY445: $i] :
( ~ ( irel @ sK2_SY425 @ SY445 )
| ( a1 @ SY445 ) ) )
& ( sK10_REN
=> ( ( irel @ sK2_SY425 @ sK5_SY444 )
& ~ ( a1 @ sK5_SY444 ) ) )
& ( sK9_REN
| ( ( irel @ sK2_SY425 @ sK3_SY447 )
& ~ ( a2 @ sK3_SY447 ) ) )
& ( sK9_REN
=> ( ( irel @ sK2_SY425 @ sK4_SY446 )
& ~ ( a1 @ sK4_SY446 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(14,plain,
( ( ! [SY430: $i] :
( ~ ( irel @ sK1_SY374 @ SY430 )
| ( ( irel @ SY430 @ ( sK18_SY365 @ SY430 ) )
& ~ ( a2 @ ( sK18_SY365 @ SY430 ) ) )
| ! [SY366: $i] :
( ~ ( irel @ SY430 @ SY366 )
| ( a1 @ SY366 ) ) )
& ! [SY430: $i] :
( ~ ( irel @ sK1_SY374 @ SY430 )
| ( ( irel @ SY430 @ ( sK17_SY367 @ SY430 ) )
& ~ ( a1 @ ( sK17_SY367 @ SY430 ) ) )
| ! [SY368: $i] :
( ~ ( irel @ SY430 @ SY368 )
| ( a2 @ SY368 ) ) )
& ( irel @ sK1_SY374 @ sK12_SY435 )
& ( ! [SY448: $i] :
( ~ ( irel @ sK12_SY435 @ SY448 )
| ( a1 @ SY448 ) )
| ! [SY449: $i] :
( ~ ( irel @ sK12_SY435 @ SY449 )
| ( a2 @ SY449 ) ) )
& ( ! [SY450: $i] :
( ~ ( irel @ sK12_SY435 @ SY450 )
| ( a1 @ SY450 ) )
| sK21_REN )
& ( sK21_REN
=> ( ( irel @ sK12_SY435 @ sK16_SY451 )
& ~ ( a1 @ sK16_SY451 ) ) )
& ( sK20_REN
| ! [SY453: $i] :
( ~ ( irel @ sK12_SY435 @ SY453 )
| ( a2 @ SY453 ) ) )
& ( sK20_REN
=> ( ( irel @ sK12_SY435 @ sK15_SY452 )
& ~ ( a2 @ sK15_SY452 ) ) )
& ( sK19_REN
| ( ( irel @ sK12_SY435 @ sK13_SY455 )
& ~ ( a1 @ sK13_SY455 ) ) )
& ( sK19_REN
=> ( ( irel @ sK12_SY435 @ sK14_SY454 )
& ~ ( a2 @ sK14_SY454 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(15,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( irel @ X @ Y )
| ~ ( irel @ Y @ Z )
| ( irel @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(16,plain,
( ( ! [X: $i] : ( irel @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(17,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( irel @ X @ Y )
| ~ ( irel @ Y @ Z )
| ( irel @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(18,plain,
( ( ! [SY420: $i] :
( ~ ( irel @ sK1_SY374 @ SY420 )
| ( ( irel @ SY420 @ ( sK8_SY204 @ SY420 ) )
& ~ ( a1 @ ( sK8_SY204 @ SY420 ) ) )
| ! [SY205: $i] :
( ~ ( irel @ SY420 @ SY205 )
| ( a2 @ SY205 ) ) )
& ! [SY420: $i] :
( ~ ( irel @ sK1_SY374 @ SY420 )
| ( ( irel @ SY420 @ ( sK7_SY206 @ SY420 ) )
& ~ ( a2 @ ( sK7_SY206 @ SY420 ) ) )
| ! [SY207: $i] :
( ~ ( irel @ SY420 @ SY207 )
| ( a1 @ SY207 ) ) )
& ( irel @ sK1_SY374 @ sK2_SY425 )
& ( ! [SY440: $i] :
( ~ ( irel @ sK2_SY425 @ SY440 )
| ( a2 @ SY440 ) )
| ! [SY441: $i] :
( ~ ( irel @ sK2_SY425 @ SY441 )
| ( a1 @ SY441 ) ) )
& ( ! [SY442: $i] :
( ~ ( irel @ sK2_SY425 @ SY442 )
| ( a2 @ SY442 ) )
| sK11_REN )
& ( sK11_REN
=> ( ( irel @ sK2_SY425 @ sK6_SY443 )
& ~ ( a2 @ sK6_SY443 ) ) )
& ( sK10_REN
| ! [SY445: $i] :
( ~ ( irel @ sK2_SY425 @ SY445 )
| ( a1 @ SY445 ) ) )
& ( sK10_REN
=> ( ( irel @ sK2_SY425 @ sK5_SY444 )
& ~ ( a1 @ sK5_SY444 ) ) )
& ( sK9_REN
| ( ( irel @ sK2_SY425 @ sK3_SY447 )
& ~ ( a2 @ sK3_SY447 ) ) )
& ( sK9_REN
=> ( ( irel @ sK2_SY425 @ sK4_SY446 )
& ~ ( a1 @ sK4_SY446 ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(19,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY204 @ SX0 ) )
| ~ ~ ( a1 @ ( sK8_SY204 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK7_SY206 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY206 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
| ~ ~ ( ~ ( irel @ sK1_SY374 @ sK2_SY425 )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
| ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) )
| ~ ~ ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(20,plain,
! [SV1: $i] :
( ( irel @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(21,plain,
! [SV2: $i] :
( ( ! [SY456: $i,SY457: $i] :
( ~ ( irel @ SV2 @ SY456 )
| ~ ( irel @ SY456 @ SY457 )
| ( irel @ SV2 @ SY457 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(22,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY204 @ SX0 ) )
| ~ ~ ( a1 @ ( sK8_SY204 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK7_SY206 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY206 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
| ~ ~ ( ~ ( irel @ sK1_SY374 @ sK2_SY425 )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
| ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) )
| ~ ~ ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV3: $i,SV2: $i] :
( ( ! [SY458: $i] :
( ~ ( irel @ SV2 @ SV3 )
| ~ ( irel @ SV3 @ SY458 )
| ( irel @ SV2 @ SY458 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY204 @ SX0 ) )
| ~ ~ ( a1 @ ( sK8_SY204 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK7_SY206 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY206 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(25,plain,
( ( ~ ~ ( ~ ( irel @ sK1_SY374 @ sK2_SY425 )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
| ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) )
| ~ ~ ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(26,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ~ ( irel @ SV2 @ SV3 )
| ~ ( irel @ SV3 @ SV4 )
| ( irel @ SV2 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY204 @ SX0 ) )
| ~ ~ ( a1 @ ( sK8_SY204 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK7_SY206 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY206 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ( ~ ( irel @ sK1_SY374 @ sK2_SY425 )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
| ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) )
| ~ ~ ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( irel @ SV2 @ SV3 )
| ~ ( irel @ SV3 @ SV4 ) )
= $true )
| ( ( irel @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(30,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY204 @ SX0 ) )
| ~ ~ ( a1 @ ( sK8_SY204 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK7_SY206 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY206 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
( ( ~ ( irel @ sK1_SY374 @ sK2_SY425 )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
| ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) )
| ~ ~ ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( irel @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( irel @ SV3 @ SV4 ) )
= $true )
| ( ( irel @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(33,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY204 @ SX0 ) )
| ~ ~ ( a1 @ ( sK8_SY204 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(34,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK7_SY206 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY206 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(35,plain,
( ( ~ ( irel @ sK1_SY374 @ sK2_SY425 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
| ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) )
| ~ ~ ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(37,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( irel @ SV2 @ SV3 )
= $false )
| ( ( ~ ( irel @ SV3 @ SV4 ) )
= $true )
| ( ( irel @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(38,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY204 @ SX0 ) )
| ~ ~ ( a1 @ ( sK8_SY204 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(39,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK7_SY206 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY206 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(40,plain,
( ( irel @ sK1_SY374 @ sK2_SY425 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(41,plain,
( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
| ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) )
| ~ ~ ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(42,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ( irel @ SV3 @ SV4 )
= $false )
| ( ( irel @ SV2 @ SV3 )
= $false )
| ( ( irel @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV5: $i] :
( ( ~ ( irel @ sK1_SY374 @ SV5 )
| ~ ( ~ ( irel @ SV5 @ ( sK8_SY204 @ SV5 ) )
| ~ ~ ( a1 @ ( sK8_SY204 @ SV5 ) ) )
| ! [SY459: $i] :
( ~ ( irel @ SV5 @ SY459 )
| ( a2 @ SY459 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV6: $i] :
( ( ~ ( irel @ sK1_SY374 @ SV6 )
| ~ ( ~ ( irel @ SV6 @ ( sK7_SY206 @ SV6 ) )
| ~ ~ ( a2 @ ( sK7_SY206 @ SV6 ) ) )
| ! [SY460: $i] :
( ~ ( irel @ SV6 @ SY460 )
| ( a1 @ SY460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(45,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
| ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) )
| ~ ~ ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV5: $i] :
( ( ( ~ ( irel @ sK1_SY374 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( irel @ SV5 @ ( sK8_SY204 @ SV5 ) )
| ~ ~ ( a1 @ ( sK8_SY204 @ SV5 ) ) )
| ! [SY459: $i] :
( ~ ( irel @ SV5 @ SY459 )
| ( a2 @ SY459 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(47,plain,
! [SV6: $i] :
( ( ( ~ ( irel @ sK1_SY374 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ( irel @ SV6 @ ( sK7_SY206 @ SV6 ) )
| ~ ~ ( a2 @ ( sK7_SY206 @ SV6 ) ) )
| ! [SY460: $i] :
( ~ ( irel @ SV6 @ SY460 )
| ( a1 @ SY460 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(48,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
| ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(49,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) )
| ~ ~ ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(50,plain,
! [SV5: $i] :
( ( ( irel @ sK1_SY374 @ SV5 )
= $false )
| ( ( ~ ( ~ ( irel @ SV5 @ ( sK8_SY204 @ SV5 ) )
| ~ ~ ( a1 @ ( sK8_SY204 @ SV5 ) ) )
| ! [SY459: $i] :
( ~ ( irel @ SV5 @ SY459 )
| ( a2 @ SY459 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV6: $i] :
( ( ( irel @ sK1_SY374 @ SV6 )
= $false )
| ( ( ~ ( ~ ( irel @ SV6 @ ( sK7_SY206 @ SV6 ) )
| ~ ~ ( a2 @ ( sK7_SY206 @ SV6 ) ) )
| ! [SY460: $i] :
( ~ ( irel @ SV6 @ SY460 )
| ( a1 @ SY460 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(52,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
| ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(53,plain,
( ( ~ ( ~ ~ ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) )
| ~ ~ ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(54,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( irel @ SV5 @ ( sK8_SY204 @ SV5 ) )
| ~ ~ ( a1 @ ( sK8_SY204 @ SV5 ) ) ) )
= $true )
| ( ( ! [SY459: $i] :
( ~ ( irel @ SV5 @ SY459 )
| ( a2 @ SY459 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(55,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ( irel @ SV6 @ ( sK7_SY206 @ SV6 ) )
| ~ ~ ( a2 @ ( sK7_SY206 @ SV6 ) ) ) )
= $true )
| ( ( ! [SY460: $i] :
( ~ ( irel @ SV6 @ SY460 )
| ( a1 @ SY460 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(56,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
| ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
( ( ~ ~ ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) )
| ~ ~ ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(58,plain,
! [SV5: $i] :
( ( ( ~ ( irel @ SV5 @ ( sK8_SY204 @ SV5 ) )
| ~ ~ ( a1 @ ( sK8_SY204 @ SV5 ) ) )
= $false )
| ( ( ! [SY459: $i] :
( ~ ( irel @ SV5 @ SY459 )
| ( a2 @ SY459 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV6: $i] :
( ( ( ~ ( irel @ SV6 @ ( sK7_SY206 @ SV6 ) )
| ~ ~ ( a2 @ ( sK7_SY206 @ SV6 ) ) )
= $false )
| ( ( ! [SY460: $i] :
( ~ ( irel @ SV6 @ SY460 )
| ( a1 @ SY460 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(60,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(61,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
| ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(62,plain,
( ( ~ ~ ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(63,plain,
( ( ~ ~ ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV5: $i] :
( ( ( ~ ( irel @ SV5 @ ( sK8_SY204 @ SV5 ) ) )
= $false )
| ( ( ! [SY459: $i] :
( ~ ( irel @ SV5 @ SY459 )
| ( a2 @ SY459 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(65,plain,
! [SV5: $i] :
( ( ( ~ ~ ( a1 @ ( sK8_SY204 @ SV5 ) ) )
= $false )
| ( ( ! [SY459: $i] :
( ~ ( irel @ SV5 @ SY459 )
| ( a2 @ SY459 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(66,plain,
! [SV6: $i] :
( ( ( ~ ( irel @ SV6 @ ( sK7_SY206 @ SV6 ) ) )
= $false )
| ( ( ! [SY460: $i] :
( ~ ( irel @ SV6 @ SY460 )
| ( a1 @ SY460 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(67,plain,
! [SV6: $i] :
( ( ( ~ ~ ( a2 @ ( sK7_SY206 @ SV6 ) ) )
= $false )
| ( ( ! [SY460: $i] :
( ~ ( irel @ SV6 @ SY460 )
| ( a1 @ SY460 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(68,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(69,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
| ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(70,plain,
( ( ~ ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(71,plain,
( ( ~ ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(72,plain,
! [SV5: $i] :
( ( ( irel @ SV5 @ ( sK8_SY204 @ SV5 ) )
= $true )
| ( ( ! [SY459: $i] :
( ~ ( irel @ SV5 @ SY459 )
| ( a2 @ SY459 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(73,plain,
! [SV5: $i] :
( ( ( ~ ( a1 @ ( sK8_SY204 @ SV5 ) ) )
= $true )
| ( ( ! [SY459: $i] :
( ~ ( irel @ SV5 @ SY459 )
| ( a2 @ SY459 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(74,plain,
! [SV6: $i] :
( ( ( irel @ SV6 @ ( sK7_SY206 @ SV6 ) )
= $true )
| ( ( ! [SY460: $i] :
( ~ ( irel @ SV6 @ SY460 )
| ( a1 @ SY460 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(75,plain,
! [SV6: $i] :
( ( ( ~ ( a2 @ ( sK7_SY206 @ SV6 ) ) )
= $true )
| ( ( ! [SY460: $i] :
( ~ ( irel @ SV6 @ SY460 )
| ( a1 @ SY460 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(76,plain,
( ( ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(77,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
| ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(78,plain,
( ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
| ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(79,plain,
( ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(80,plain,
! [SV7: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV7 )
| ( a2 @ SV7 ) )
= $true )
| ( ( irel @ SV5 @ ( sK8_SY204 @ SV5 ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(81,plain,
! [SV5: $i] :
( ( ( a1 @ ( sK8_SY204 @ SV5 ) )
= $false )
| ( ( ! [SY459: $i] :
( ~ ( irel @ SV5 @ SY459 )
| ( a2 @ SY459 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(82,plain,
! [SV8: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV8 )
| ( a1 @ SV8 ) )
= $true )
| ( ( irel @ SV6 @ ( sK7_SY206 @ SV6 ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(83,plain,
! [SV6: $i] :
( ( ( a2 @ ( sK7_SY206 @ SV6 ) )
= $false )
| ( ( ! [SY460: $i] :
( ~ ( irel @ SV6 @ SY460 )
| ( a1 @ SY460 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(84,plain,
! [SV9: $i] :
( ( ( ~ ( irel @ sK2_SY425 @ SV9 )
| ( a2 @ SV9 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(85,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(86,plain,
( ( ~ ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(87,plain,
( ( ~ ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(88,plain,
( ( ~ ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(89,plain,
( ( ~ ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(90,plain,
( ( ~ ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(91,plain,
! [SV7: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV7 ) )
= $true )
| ( ( a2 @ SV7 )
= $true )
| ( ( irel @ SV5 @ ( sK8_SY204 @ SV5 ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(92,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV10 )
| ( a2 @ SV10 ) )
= $true )
| ( ( a1 @ ( sK8_SY204 @ SV5 ) )
= $false )
| ( ( irel @ sK1_SY374 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(93,plain,
! [SV8: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV8 ) )
= $true )
| ( ( a1 @ SV8 )
= $true )
| ( ( irel @ SV6 @ ( sK7_SY206 @ SV6 ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(94,plain,
! [SV11: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV11 )
| ( a1 @ SV11 ) )
= $true )
| ( ( a2 @ ( sK7_SY206 @ SV6 ) )
= $false )
| ( ( irel @ sK1_SY374 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(95,plain,
! [SV9: $i] :
( ( ( ~ ( irel @ sK2_SY425 @ SV9 ) )
= $true )
| ( ( a2 @ SV9 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(96,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) )
| sK11_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(97,plain,
( ( ~ sK11_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(98,plain,
( ( sK10_REN
| ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(99,plain,
( ( ~ sK10_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(100,plain,
( ( sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(101,plain,
( ( ~ sK9_REN
| ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(102,plain,
! [SV7: $i,SV5: $i] :
( ( ( irel @ SV5 @ SV7 )
= $false )
| ( ( a2 @ SV7 )
= $true )
| ( ( irel @ SV5 @ ( sK8_SY204 @ SV5 ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV10 ) )
= $true )
| ( ( a2 @ SV10 )
= $true )
| ( ( a1 @ ( sK8_SY204 @ SV5 ) )
= $false )
| ( ( irel @ sK1_SY374 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV8: $i,SV6: $i] :
( ( ( irel @ SV6 @ SV8 )
= $false )
| ( ( a1 @ SV8 )
= $true )
| ( ( irel @ SV6 @ ( sK7_SY206 @ SV6 ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV11: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV11 ) )
= $true )
| ( ( a1 @ SV11 )
= $true )
| ( ( a2 @ ( sK7_SY206 @ SV6 ) )
= $false )
| ( ( irel @ sK1_SY374 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(106,plain,
! [SV9: $i] :
( ( ( irel @ sK2_SY425 @ SV9 )
= $false )
| ( ( a2 @ SV9 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(107,plain,
( ( ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a2 @ SX0 ) ) )
= $true )
| ( sK11_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(108,plain,
( ( ( ~ sK11_REN )
= $true )
| ( ( ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(109,plain,
( ( sK10_REN = $true )
| ( ( ! [SX0: $i] :
( ~ ( irel @ sK2_SY425 @ SX0 )
| ( a1 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(110,plain,
( ( ( ~ sK10_REN )
= $true )
| ( ( ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(111,plain,
( ( sK9_REN = $true )
| ( ( ~ ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(112,plain,
( ( ( ~ sK9_REN )
= $true )
| ( ( ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(113,plain,
! [SV10: $i,SV5: $i] :
( ( ( irel @ SV5 @ SV10 )
= $false )
| ( ( a2 @ SV10 )
= $true )
| ( ( a1 @ ( sK8_SY204 @ SV5 ) )
= $false )
| ( ( irel @ sK1_SY374 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(114,plain,
! [SV11: $i,SV6: $i] :
( ( ( irel @ SV6 @ SV11 )
= $false )
| ( ( a1 @ SV11 )
= $true )
| ( ( a2 @ ( sK7_SY206 @ SV6 ) )
= $false )
| ( ( irel @ sK1_SY374 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(115,plain,
! [SV9: $i,SV12: $i] :
( ( ( ~ ( irel @ sK2_SY425 @ SV12 )
| ( a1 @ SV12 ) )
= $true )
| ( ( a2 @ SV9 )
= $true )
| ( ( irel @ sK2_SY425 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(116,plain,
! [SV13: $i] :
( ( ( ~ ( irel @ sK2_SY425 @ SV13 )
| ( a2 @ SV13 ) )
= $true )
| ( sK11_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(117,plain,
( ( sK11_REN = $false )
| ( ( ~ ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(118,plain,
! [SV14: $i] :
( ( ( ~ ( irel @ sK2_SY425 @ SV14 )
| ( a1 @ SV14 ) )
= $true )
| ( sK10_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(119,plain,
( ( sK10_REN = $false )
| ( ( ~ ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(120,plain,
( ( ( ~ ( irel @ sK2_SY425 @ sK3_SY447 )
| ~ ~ ( a2 @ sK3_SY447 ) )
= $false )
| ( sK9_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(121,plain,
( ( sK9_REN = $false )
| ( ( ~ ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(122,plain,
! [SV9: $i,SV12: $i] :
( ( ( ~ ( irel @ sK2_SY425 @ SV12 ) )
= $true )
| ( ( a1 @ SV12 )
= $true )
| ( ( a2 @ SV9 )
= $true )
| ( ( irel @ sK2_SY425 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(123,plain,
! [SV13: $i] :
( ( ( ~ ( irel @ sK2_SY425 @ SV13 ) )
= $true )
| ( ( a2 @ SV13 )
= $true )
| ( sK11_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(124,plain,
( ( ( ~ ( irel @ sK2_SY425 @ sK6_SY443 )
| ~ ~ ( a2 @ sK6_SY443 ) )
= $false )
| ( sK11_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(125,plain,
! [SV14: $i] :
( ( ( ~ ( irel @ sK2_SY425 @ SV14 ) )
= $true )
| ( ( a1 @ SV14 )
= $true )
| ( sK10_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(126,plain,
( ( ( ~ ( irel @ sK2_SY425 @ sK5_SY444 )
| ~ ~ ( a1 @ sK5_SY444 ) )
= $false )
| ( sK10_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(127,plain,
( ( ( ~ ( irel @ sK2_SY425 @ sK3_SY447 ) )
= $false )
| ( sK9_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(128,plain,
( ( ( ~ ~ ( a2 @ sK3_SY447 ) )
= $false )
| ( sK9_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(129,plain,
( ( ( ~ ( irel @ sK2_SY425 @ sK4_SY446 )
| ~ ~ ( a1 @ sK4_SY446 ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(130,plain,
! [SV9: $i,SV12: $i] :
( ( ( irel @ sK2_SY425 @ SV12 )
= $false )
| ( ( a1 @ SV12 )
= $true )
| ( ( a2 @ SV9 )
= $true )
| ( ( irel @ sK2_SY425 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(131,plain,
! [SV13: $i] :
( ( ( irel @ sK2_SY425 @ SV13 )
= $false )
| ( ( a2 @ SV13 )
= $true )
| ( sK11_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(132,plain,
( ( ( ~ ( irel @ sK2_SY425 @ sK6_SY443 ) )
= $false )
| ( sK11_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(133,plain,
( ( ( ~ ~ ( a2 @ sK6_SY443 ) )
= $false )
| ( sK11_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(134,plain,
! [SV14: $i] :
( ( ( irel @ sK2_SY425 @ SV14 )
= $false )
| ( ( a1 @ SV14 )
= $true )
| ( sK10_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(135,plain,
( ( ( ~ ( irel @ sK2_SY425 @ sK5_SY444 ) )
= $false )
| ( sK10_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(136,plain,
( ( ( ~ ~ ( a1 @ sK5_SY444 ) )
= $false )
| ( sK10_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(137,plain,
( ( ( irel @ sK2_SY425 @ sK3_SY447 )
= $true )
| ( sK9_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(138,plain,
( ( ( ~ ( a2 @ sK3_SY447 ) )
= $true )
| ( sK9_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(139,plain,
( ( ( ~ ( irel @ sK2_SY425 @ sK4_SY446 ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(140,plain,
( ( ( ~ ~ ( a1 @ sK4_SY446 ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(141,plain,
( ( ( irel @ sK2_SY425 @ sK6_SY443 )
= $true )
| ( sK11_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(142,plain,
( ( ( ~ ( a2 @ sK6_SY443 ) )
= $true )
| ( sK11_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(143,plain,
( ( ( irel @ sK2_SY425 @ sK5_SY444 )
= $true )
| ( sK10_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(144,plain,
( ( ( ~ ( a1 @ sK5_SY444 ) )
= $true )
| ( sK10_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(145,plain,
( ( ( a2 @ sK3_SY447 )
= $false )
| ( sK9_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(146,plain,
( ( ( irel @ sK2_SY425 @ sK4_SY446 )
= $true )
| ( sK9_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(147,plain,
( ( ( ~ ( a1 @ sK4_SY446 ) )
= $true )
| ( sK9_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(148,plain,
( ( ( a2 @ sK6_SY443 )
= $false )
| ( sK11_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(149,plain,
( ( ( a1 @ sK5_SY444 )
= $false )
| ( sK10_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(150,plain,
( ( ( a1 @ sK4_SY446 )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(151,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,150,149,148,146,145,143,141,137,134,131,130,114,113,104,102,42,40]) ).
thf(152,plain,
( ( ! [X: $i] : ( irel @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(153,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( irel @ X @ Y )
| ~ ( irel @ Y @ Z )
| ( irel @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(154,plain,
( ( ! [SY430: $i] :
( ~ ( irel @ sK1_SY374 @ SY430 )
| ( ( irel @ SY430 @ ( sK18_SY365 @ SY430 ) )
& ~ ( a2 @ ( sK18_SY365 @ SY430 ) ) )
| ! [SY366: $i] :
( ~ ( irel @ SY430 @ SY366 )
| ( a1 @ SY366 ) ) )
& ! [SY430: $i] :
( ~ ( irel @ sK1_SY374 @ SY430 )
| ( ( irel @ SY430 @ ( sK17_SY367 @ SY430 ) )
& ~ ( a1 @ ( sK17_SY367 @ SY430 ) ) )
| ! [SY368: $i] :
( ~ ( irel @ SY430 @ SY368 )
| ( a2 @ SY368 ) ) )
& ( irel @ sK1_SY374 @ sK12_SY435 )
& ( ! [SY448: $i] :
( ~ ( irel @ sK12_SY435 @ SY448 )
| ( a1 @ SY448 ) )
| ! [SY449: $i] :
( ~ ( irel @ sK12_SY435 @ SY449 )
| ( a2 @ SY449 ) ) )
& ( ! [SY450: $i] :
( ~ ( irel @ sK12_SY435 @ SY450 )
| ( a1 @ SY450 ) )
| sK21_REN )
& ( sK21_REN
=> ( ( irel @ sK12_SY435 @ sK16_SY451 )
& ~ ( a1 @ sK16_SY451 ) ) )
& ( sK20_REN
| ! [SY453: $i] :
( ~ ( irel @ sK12_SY435 @ SY453 )
| ( a2 @ SY453 ) ) )
& ( sK20_REN
=> ( ( irel @ sK12_SY435 @ sK15_SY452 )
& ~ ( a2 @ sK15_SY452 ) ) )
& ( sK19_REN
| ( ( irel @ sK12_SY435 @ sK13_SY455 )
& ~ ( a1 @ sK13_SY455 ) ) )
& ( sK19_REN
=> ( ( irel @ sK12_SY435 @ sK14_SY454 )
& ~ ( a2 @ sK14_SY454 ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(155,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK18_SY365 @ SX0 ) )
| ~ ~ ( a2 @ ( sK18_SY365 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK17_SY367 @ SX0 ) )
| ~ ~ ( a1 @ ( sK17_SY367 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
| ~ ~ ( ~ ( irel @ sK1_SY374 @ sK12_SY435 )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
| ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) )
| ~ ~ ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
| ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(156,plain,
! [SV15: $i] :
( ( irel @ SV15 @ SV15 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(157,plain,
! [SV16: $i] :
( ( ! [SY461: $i,SY462: $i] :
( ~ ( irel @ SV16 @ SY461 )
| ~ ( irel @ SY461 @ SY462 )
| ( irel @ SV16 @ SY462 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(158,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK18_SY365 @ SX0 ) )
| ~ ~ ( a2 @ ( sK18_SY365 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK17_SY367 @ SX0 ) )
| ~ ~ ( a1 @ ( sK17_SY367 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
| ~ ~ ( ~ ( irel @ sK1_SY374 @ sK12_SY435 )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
| ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) )
| ~ ~ ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
| ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(159,plain,
! [SV17: $i,SV16: $i] :
( ( ! [SY463: $i] :
( ~ ( irel @ SV16 @ SV17 )
| ~ ( irel @ SV17 @ SY463 )
| ( irel @ SV16 @ SY463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(160,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK18_SY365 @ SX0 ) )
| ~ ~ ( a2 @ ( sK18_SY365 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK17_SY367 @ SX0 ) )
| ~ ~ ( a1 @ ( sK17_SY367 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(161,plain,
( ( ~ ~ ( ~ ( irel @ sK1_SY374 @ sK12_SY435 )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
| ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) )
| ~ ~ ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
| ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(162,plain,
! [SV18: $i,SV17: $i,SV16: $i] :
( ( ~ ( irel @ SV16 @ SV17 )
| ~ ( irel @ SV17 @ SV18 )
| ( irel @ SV16 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(163,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK18_SY365 @ SX0 ) )
| ~ ~ ( a2 @ ( sK18_SY365 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK17_SY367 @ SX0 ) )
| ~ ~ ( a1 @ ( sK17_SY367 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(164,plain,
( ( ~ ( ~ ( irel @ sK1_SY374 @ sK12_SY435 )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
| ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) )
| ~ ~ ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
| ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(165,plain,
! [SV18: $i,SV17: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ SV17 )
| ~ ( irel @ SV17 @ SV18 ) )
= $true )
| ( ( irel @ SV16 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(166,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK18_SY365 @ SX0 ) )
| ~ ~ ( a2 @ ( sK18_SY365 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK17_SY367 @ SX0 ) )
| ~ ~ ( a1 @ ( sK17_SY367 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(167,plain,
( ( ~ ( irel @ sK1_SY374 @ sK12_SY435 )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
| ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) )
| ~ ~ ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
| ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(168,plain,
! [SV18: $i,SV17: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ SV17 ) )
= $true )
| ( ( ~ ( irel @ SV17 @ SV18 ) )
= $true )
| ( ( irel @ SV16 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(169,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK18_SY365 @ SX0 ) )
| ~ ~ ( a2 @ ( sK18_SY365 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(170,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK17_SY367 @ SX0 ) )
| ~ ~ ( a1 @ ( sK17_SY367 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(171,plain,
( ( ~ ( irel @ sK1_SY374 @ sK12_SY435 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(172,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
| ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) )
| ~ ~ ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
| ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(173,plain,
! [SV18: $i,SV17: $i,SV16: $i] :
( ( ( irel @ SV16 @ SV17 )
= $false )
| ( ( ~ ( irel @ SV17 @ SV18 ) )
= $true )
| ( ( irel @ SV16 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(174,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK18_SY365 @ SX0 ) )
| ~ ~ ( a2 @ ( sK18_SY365 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(175,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK1_SY374 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK17_SY367 @ SX0 ) )
| ~ ~ ( a1 @ ( sK17_SY367 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(176,plain,
( ( irel @ sK1_SY374 @ sK12_SY435 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(177,plain,
( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
| ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) )
| ~ ~ ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
| ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(178,plain,
! [SV16: $i,SV18: $i,SV17: $i] :
( ( ( irel @ SV17 @ SV18 )
= $false )
| ( ( irel @ SV16 @ SV17 )
= $false )
| ( ( irel @ SV16 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(179,plain,
! [SV19: $i] :
( ( ~ ( irel @ sK1_SY374 @ SV19 )
| ~ ( ~ ( irel @ SV19 @ ( sK18_SY365 @ SV19 ) )
| ~ ~ ( a2 @ ( sK18_SY365 @ SV19 ) ) )
| ! [SY464: $i] :
( ~ ( irel @ SV19 @ SY464 )
| ( a1 @ SY464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(180,plain,
! [SV20: $i] :
( ( ~ ( irel @ sK1_SY374 @ SV20 )
| ~ ( ~ ( irel @ SV20 @ ( sK17_SY367 @ SV20 ) )
| ~ ~ ( a1 @ ( sK17_SY367 @ SV20 ) ) )
| ! [SY465: $i] :
( ~ ( irel @ SV20 @ SY465 )
| ( a2 @ SY465 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(181,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
| ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) )
| ~ ~ ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
| ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(182,plain,
! [SV19: $i] :
( ( ( ~ ( irel @ sK1_SY374 @ SV19 ) )
= $true )
| ( ( ~ ( ~ ( irel @ SV19 @ ( sK18_SY365 @ SV19 ) )
| ~ ~ ( a2 @ ( sK18_SY365 @ SV19 ) ) )
| ! [SY464: $i] :
( ~ ( irel @ SV19 @ SY464 )
| ( a1 @ SY464 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(183,plain,
! [SV20: $i] :
( ( ( ~ ( irel @ sK1_SY374 @ SV20 ) )
= $true )
| ( ( ~ ( ~ ( irel @ SV20 @ ( sK17_SY367 @ SV20 ) )
| ~ ~ ( a1 @ ( sK17_SY367 @ SV20 ) ) )
| ! [SY465: $i] :
( ~ ( irel @ SV20 @ SY465 )
| ( a2 @ SY465 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(184,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
| ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(185,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) )
| ~ ~ ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
| ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(186,plain,
! [SV19: $i] :
( ( ( irel @ sK1_SY374 @ SV19 )
= $false )
| ( ( ~ ( ~ ( irel @ SV19 @ ( sK18_SY365 @ SV19 ) )
| ~ ~ ( a2 @ ( sK18_SY365 @ SV19 ) ) )
| ! [SY464: $i] :
( ~ ( irel @ SV19 @ SY464 )
| ( a1 @ SY464 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(187,plain,
! [SV20: $i] :
( ( ( irel @ sK1_SY374 @ SV20 )
= $false )
| ( ( ~ ( ~ ( irel @ SV20 @ ( sK17_SY367 @ SV20 ) )
| ~ ~ ( a1 @ ( sK17_SY367 @ SV20 ) ) )
| ! [SY465: $i] :
( ~ ( irel @ SV20 @ SY465 )
| ( a2 @ SY465 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(188,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
| ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(189,plain,
( ( ~ ( ~ ~ ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) )
| ~ ~ ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
| ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(190,plain,
! [SV19: $i] :
( ( ( ~ ( ~ ( irel @ SV19 @ ( sK18_SY365 @ SV19 ) )
| ~ ~ ( a2 @ ( sK18_SY365 @ SV19 ) ) ) )
= $true )
| ( ( ! [SY464: $i] :
( ~ ( irel @ SV19 @ SY464 )
| ( a1 @ SY464 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(191,plain,
! [SV20: $i] :
( ( ( ~ ( ~ ( irel @ SV20 @ ( sK17_SY367 @ SV20 ) )
| ~ ~ ( a1 @ ( sK17_SY367 @ SV20 ) ) ) )
= $true )
| ( ( ! [SY465: $i] :
( ~ ( irel @ SV20 @ SY465 )
| ( a2 @ SY465 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(192,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
| ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(193,plain,
( ( ~ ~ ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) )
| ~ ~ ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
| ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(194,plain,
! [SV19: $i] :
( ( ( ~ ( irel @ SV19 @ ( sK18_SY365 @ SV19 ) )
| ~ ~ ( a2 @ ( sK18_SY365 @ SV19 ) ) )
= $false )
| ( ( ! [SY464: $i] :
( ~ ( irel @ SV19 @ SY464 )
| ( a1 @ SY464 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(195,plain,
! [SV20: $i] :
( ( ( ~ ( irel @ SV20 @ ( sK17_SY367 @ SV20 ) )
| ~ ~ ( a1 @ ( sK17_SY367 @ SV20 ) ) )
= $false )
| ( ( ! [SY465: $i] :
( ~ ( irel @ SV20 @ SY465 )
| ( a2 @ SY465 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(196,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(197,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
| ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(198,plain,
( ( ~ ~ ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(199,plain,
( ( ~ ~ ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
| ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(200,plain,
! [SV19: $i] :
( ( ( ~ ( irel @ SV19 @ ( sK18_SY365 @ SV19 ) ) )
= $false )
| ( ( ! [SY464: $i] :
( ~ ( irel @ SV19 @ SY464 )
| ( a1 @ SY464 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(201,plain,
! [SV19: $i] :
( ( ( ~ ~ ( a2 @ ( sK18_SY365 @ SV19 ) ) )
= $false )
| ( ( ! [SY464: $i] :
( ~ ( irel @ SV19 @ SY464 )
| ( a1 @ SY464 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(202,plain,
! [SV20: $i] :
( ( ( ~ ( irel @ SV20 @ ( sK17_SY367 @ SV20 ) ) )
= $false )
| ( ( ! [SY465: $i] :
( ~ ( irel @ SV20 @ SY465 )
| ( a2 @ SY465 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(203,plain,
! [SV20: $i] :
( ( ( ~ ~ ( a1 @ ( sK17_SY367 @ SV20 ) ) )
= $false )
| ( ( ! [SY465: $i] :
( ~ ( irel @ SV20 @ SY465 )
| ( a2 @ SY465 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(204,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(205,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
| ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(206,plain,
( ( ~ ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(207,plain,
( ( ~ ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
| ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(208,plain,
! [SV19: $i] :
( ( ( irel @ SV19 @ ( sK18_SY365 @ SV19 ) )
= $true )
| ( ( ! [SY464: $i] :
( ~ ( irel @ SV19 @ SY464 )
| ( a1 @ SY464 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(209,plain,
! [SV19: $i] :
( ( ( ~ ( a2 @ ( sK18_SY365 @ SV19 ) ) )
= $true )
| ( ( ! [SY464: $i] :
( ~ ( irel @ SV19 @ SY464 )
| ( a1 @ SY464 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(210,plain,
! [SV20: $i] :
( ( ( irel @ SV20 @ ( sK17_SY367 @ SV20 ) )
= $true )
| ( ( ! [SY465: $i] :
( ~ ( irel @ SV20 @ SY465 )
| ( a2 @ SY465 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(211,plain,
! [SV20: $i] :
( ( ( ~ ( a1 @ ( sK17_SY367 @ SV20 ) ) )
= $true )
| ( ( ! [SY465: $i] :
( ~ ( irel @ SV20 @ SY465 )
| ( a2 @ SY465 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(212,plain,
( ( ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(213,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
| ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(214,plain,
( ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
| ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(215,plain,
( ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
| ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(216,plain,
! [SV21: $i,SV19: $i] :
( ( ( ~ ( irel @ SV19 @ SV21 )
| ( a1 @ SV21 ) )
= $true )
| ( ( irel @ SV19 @ ( sK18_SY365 @ SV19 ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(217,plain,
! [SV19: $i] :
( ( ( a2 @ ( sK18_SY365 @ SV19 ) )
= $false )
| ( ( ! [SY464: $i] :
( ~ ( irel @ SV19 @ SY464 )
| ( a1 @ SY464 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(218,plain,
! [SV22: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV22 )
| ( a2 @ SV22 ) )
= $true )
| ( ( irel @ SV20 @ ( sK17_SY367 @ SV20 ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(219,plain,
! [SV20: $i] :
( ( ( a1 @ ( sK17_SY367 @ SV20 ) )
= $false )
| ( ( ! [SY465: $i] :
( ~ ( irel @ SV20 @ SY465 )
| ( a2 @ SY465 ) ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(220,plain,
! [SV23: $i] :
( ( ( ~ ( irel @ sK12_SY435 @ SV23 )
| ( a1 @ SV23 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(221,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(222,plain,
( ( ~ ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(223,plain,
( ( ~ ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(224,plain,
( ( ~ ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(225,plain,
( ( ~ ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(226,plain,
( ( ~ ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(227,plain,
! [SV21: $i,SV19: $i] :
( ( ( ~ ( irel @ SV19 @ SV21 ) )
= $true )
| ( ( a1 @ SV21 )
= $true )
| ( ( irel @ SV19 @ ( sK18_SY365 @ SV19 ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(228,plain,
! [SV24: $i,SV19: $i] :
( ( ( ~ ( irel @ SV19 @ SV24 )
| ( a1 @ SV24 ) )
= $true )
| ( ( a2 @ ( sK18_SY365 @ SV19 ) )
= $false )
| ( ( irel @ sK1_SY374 @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(229,plain,
! [SV22: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV22 ) )
= $true )
| ( ( a2 @ SV22 )
= $true )
| ( ( irel @ SV20 @ ( sK17_SY367 @ SV20 ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(230,plain,
! [SV25: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV25 )
| ( a2 @ SV25 ) )
= $true )
| ( ( a1 @ ( sK17_SY367 @ SV20 ) )
= $false )
| ( ( irel @ sK1_SY374 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(231,plain,
! [SV23: $i] :
( ( ( ~ ( irel @ sK12_SY435 @ SV23 ) )
= $true )
| ( ( a1 @ SV23 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(232,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) )
| sK21_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(233,plain,
( ( ~ sK21_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(234,plain,
( ( sK20_REN
| ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(235,plain,
( ( ~ sK20_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(236,plain,
( ( sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(237,plain,
( ( ~ sK19_REN
| ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(238,plain,
! [SV21: $i,SV19: $i] :
( ( ( irel @ SV19 @ SV21 )
= $false )
| ( ( a1 @ SV21 )
= $true )
| ( ( irel @ SV19 @ ( sK18_SY365 @ SV19 ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(239,plain,
! [SV24: $i,SV19: $i] :
( ( ( ~ ( irel @ SV19 @ SV24 ) )
= $true )
| ( ( a1 @ SV24 )
= $true )
| ( ( a2 @ ( sK18_SY365 @ SV19 ) )
= $false )
| ( ( irel @ sK1_SY374 @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(240,plain,
! [SV22: $i,SV20: $i] :
( ( ( irel @ SV20 @ SV22 )
= $false )
| ( ( a2 @ SV22 )
= $true )
| ( ( irel @ SV20 @ ( sK17_SY367 @ SV20 ) )
= $true )
| ( ( irel @ sK1_SY374 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(241,plain,
! [SV25: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV25 ) )
= $true )
| ( ( a2 @ SV25 )
= $true )
| ( ( a1 @ ( sK17_SY367 @ SV20 ) )
= $false )
| ( ( irel @ sK1_SY374 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(242,plain,
! [SV23: $i] :
( ( ( irel @ sK12_SY435 @ SV23 )
= $false )
| ( ( a1 @ SV23 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(243,plain,
( ( ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a1 @ SX0 ) ) )
= $true )
| ( sK21_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(244,plain,
( ( ( ~ sK21_REN )
= $true )
| ( ( ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(245,plain,
( ( sK20_REN = $true )
| ( ( ! [SX0: $i] :
( ~ ( irel @ sK12_SY435 @ SX0 )
| ( a2 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(246,plain,
( ( ( ~ sK20_REN )
= $true )
| ( ( ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(247,plain,
( ( sK19_REN = $true )
| ( ( ~ ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(248,plain,
( ( ( ~ sK19_REN )
= $true )
| ( ( ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(249,plain,
! [SV24: $i,SV19: $i] :
( ( ( irel @ SV19 @ SV24 )
= $false )
| ( ( a1 @ SV24 )
= $true )
| ( ( a2 @ ( sK18_SY365 @ SV19 ) )
= $false )
| ( ( irel @ sK1_SY374 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(250,plain,
! [SV25: $i,SV20: $i] :
( ( ( irel @ SV20 @ SV25 )
= $false )
| ( ( a2 @ SV25 )
= $true )
| ( ( a1 @ ( sK17_SY367 @ SV20 ) )
= $false )
| ( ( irel @ sK1_SY374 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(251,plain,
! [SV23: $i,SV26: $i] :
( ( ( ~ ( irel @ sK12_SY435 @ SV26 )
| ( a2 @ SV26 ) )
= $true )
| ( ( a1 @ SV23 )
= $true )
| ( ( irel @ sK12_SY435 @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(252,plain,
! [SV27: $i] :
( ( ( ~ ( irel @ sK12_SY435 @ SV27 )
| ( a1 @ SV27 ) )
= $true )
| ( sK21_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(253,plain,
( ( sK21_REN = $false )
| ( ( ~ ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(254,plain,
! [SV28: $i] :
( ( ( ~ ( irel @ sK12_SY435 @ SV28 )
| ( a2 @ SV28 ) )
= $true )
| ( sK20_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(255,plain,
( ( sK20_REN = $false )
| ( ( ~ ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(256,plain,
( ( ( ~ ( irel @ sK12_SY435 @ sK13_SY455 )
| ~ ~ ( a1 @ sK13_SY455 ) )
= $false )
| ( sK19_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(257,plain,
( ( sK19_REN = $false )
| ( ( ~ ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(258,plain,
! [SV23: $i,SV26: $i] :
( ( ( ~ ( irel @ sK12_SY435 @ SV26 ) )
= $true )
| ( ( a2 @ SV26 )
= $true )
| ( ( a1 @ SV23 )
= $true )
| ( ( irel @ sK12_SY435 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(259,plain,
! [SV27: $i] :
( ( ( ~ ( irel @ sK12_SY435 @ SV27 ) )
= $true )
| ( ( a1 @ SV27 )
= $true )
| ( sK21_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(260,plain,
( ( ( ~ ( irel @ sK12_SY435 @ sK16_SY451 )
| ~ ~ ( a1 @ sK16_SY451 ) )
= $false )
| ( sK21_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(261,plain,
! [SV28: $i] :
( ( ( ~ ( irel @ sK12_SY435 @ SV28 ) )
= $true )
| ( ( a2 @ SV28 )
= $true )
| ( sK20_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(262,plain,
( ( ( ~ ( irel @ sK12_SY435 @ sK15_SY452 )
| ~ ~ ( a2 @ sK15_SY452 ) )
= $false )
| ( sK20_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(263,plain,
( ( ( ~ ( irel @ sK12_SY435 @ sK13_SY455 ) )
= $false )
| ( sK19_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(264,plain,
( ( ( ~ ~ ( a1 @ sK13_SY455 ) )
= $false )
| ( sK19_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(265,plain,
( ( ( ~ ( irel @ sK12_SY435 @ sK14_SY454 )
| ~ ~ ( a2 @ sK14_SY454 ) )
= $false )
| ( sK19_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(266,plain,
! [SV23: $i,SV26: $i] :
( ( ( irel @ sK12_SY435 @ SV26 )
= $false )
| ( ( a2 @ SV26 )
= $true )
| ( ( a1 @ SV23 )
= $true )
| ( ( irel @ sK12_SY435 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(267,plain,
! [SV27: $i] :
( ( ( irel @ sK12_SY435 @ SV27 )
= $false )
| ( ( a1 @ SV27 )
= $true )
| ( sK21_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(268,plain,
( ( ( ~ ( irel @ sK12_SY435 @ sK16_SY451 ) )
= $false )
| ( sK21_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(269,plain,
( ( ( ~ ~ ( a1 @ sK16_SY451 ) )
= $false )
| ( sK21_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(270,plain,
! [SV28: $i] :
( ( ( irel @ sK12_SY435 @ SV28 )
= $false )
| ( ( a2 @ SV28 )
= $true )
| ( sK20_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(271,plain,
( ( ( ~ ( irel @ sK12_SY435 @ sK15_SY452 ) )
= $false )
| ( sK20_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(272,plain,
( ( ( ~ ~ ( a2 @ sK15_SY452 ) )
= $false )
| ( sK20_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(273,plain,
( ( ( irel @ sK12_SY435 @ sK13_SY455 )
= $true )
| ( sK19_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(274,plain,
( ( ( ~ ( a1 @ sK13_SY455 ) )
= $true )
| ( sK19_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(275,plain,
( ( ( ~ ( irel @ sK12_SY435 @ sK14_SY454 ) )
= $false )
| ( sK19_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(276,plain,
( ( ( ~ ~ ( a2 @ sK14_SY454 ) )
= $false )
| ( sK19_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(277,plain,
( ( ( irel @ sK12_SY435 @ sK16_SY451 )
= $true )
| ( sK21_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(278,plain,
( ( ( ~ ( a1 @ sK16_SY451 ) )
= $true )
| ( sK21_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(279,plain,
( ( ( irel @ sK12_SY435 @ sK15_SY452 )
= $true )
| ( sK20_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(280,plain,
( ( ( ~ ( a2 @ sK15_SY452 ) )
= $true )
| ( sK20_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(281,plain,
( ( ( a1 @ sK13_SY455 )
= $false )
| ( sK19_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(282,plain,
( ( ( irel @ sK12_SY435 @ sK14_SY454 )
= $true )
| ( sK19_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(283,plain,
( ( ( ~ ( a2 @ sK14_SY454 ) )
= $true )
| ( sK19_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(284,plain,
( ( ( a1 @ sK16_SY451 )
= $false )
| ( sK21_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(285,plain,
( ( ( a2 @ sK15_SY452 )
= $false )
| ( sK20_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(286,plain,
( ( ( a2 @ sK14_SY454 )
= $false )
| ( sK19_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(287,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[156,286,285,284,282,281,279,277,273,270,267,266,250,249,240,238,178,176]) ).
thf(288,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[287,151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN393^4.002 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 21:30:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 2
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 2753
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.34 (rf:0,axioms:2,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:4,loop_count:0,foatp_calls:0,translation:fof_full).......................................................................eprover: CPU time limit exceeded, terminating
% 25.48/25.66 .............eprover: CPU time limit exceeded, terminating
% 51.21/51.43 ....eprover: CPU time limit exceeded, terminating
% 75.60/75.82 .
% 75.60/75.82 (rf:0,axioms:2,ps:3,u:3,ude:true,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:4,loop_count:0,foatp_calls:0,translation:fof_full)......................
% 75.83/76.03
% 75.83/76.03 ********************************
% 75.83/76.03 * All subproblems solved! *
% 75.83/76.03 ********************************
% 75.83/76.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:3,ude:true,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:287,loop_count:0,foatp_calls:1,translation:fof_full)
% 75.83/76.05
% 75.83/76.05 %**** Beginning of derivation protocol ****
% 75.83/76.05 % SZS output start CNFRefutation
% See solution above
% 75.88/76.05
% 75.88/76.05 %**** End of derivation protocol ****
% 75.88/76.05 %**** no. of clauses in derivation: 288 ****
% 75.88/76.05 %**** clause counter: 287 ****
% 75.88/76.05
% 75.88/76.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:3,ude:true,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:287,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------