%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO068^4.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:07:33 AM UTC 2026
% Result : Theorem 1.56s 0.52s
% Output : CNFRefutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 33
% Syntax : Number of formulae : 459 ( 80 unt; 0 typ; 19 def)
% Number of atoms : 5289 (1413 equ; 0 cnn)
% Maximal formula atoms : 9 ( 11 avg)
% Number of connectives : 7581 (1003 ~;1831 |; 4 &;4659 @)
% ( 0 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 65 ( 62 usr; 3 con; 0-3 aty)
% Number of variables : 1543 ( 31 ^;1510 !; 2 ?;1543 :)
% Comments :
%------------------------------------------------------------------------------
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_p0,type,
p0: $i > $o ).
thf(tp_p1,type,
p1: $i > $o ).
thf(tp_p10,type,
p10: $i > $o ).
thf(tp_p2,type,
p2: $i > $o ).
thf(tp_p3,type,
p3: $i > $o ).
thf(tp_p4,type,
p4: $i > $o ).
thf(tp_p5,type,
p5: $i > $o ).
thf(tp_p6,type,
p6: $i > $o ).
thf(tp_p7,type,
p7: $i > $o ).
thf(tp_p8,type,
p8: $i > $o ).
thf(tp_p9,type,
p9: $i > $o ).
thf(tp_sK10_SY542,type,
sK10_SY542: $i > $i ).
thf(tp_sK11_SY546,type,
sK11_SY546: $i > $i ).
thf(tp_sK12_SY551,type,
sK12_SY551: $i > $i > $i ).
thf(tp_sK13_SY553,type,
sK13_SY553: $i > $i > $i ).
thf(tp_sK14_SY555,type,
sK14_SY555: $i > $i > $i ).
thf(tp_sK15_SY557,type,
sK15_SY557: $i > $i > $i ).
thf(tp_sK16_SY559,type,
sK16_SY559: $i > $i > $i ).
thf(tp_sK17_SY561,type,
sK17_SY561: $i > $i > $i ).
thf(tp_sK18_SY563,type,
sK18_SY563: $i > $i > $i ).
thf(tp_sK19_SY565,type,
sK19_SY565: $i > $i > $i ).
thf(tp_sK1_SY0,type,
sK1_SY0: $i ).
thf(tp_sK20_SY567,type,
sK20_SY567: $i > $i > $i ).
thf(tp_sK21_SY569,type,
sK21_SY569: $i > $i > $i ).
thf(tp_sK22_SY571,type,
sK22_SY571: $i > $i > $i ).
thf(tp_sK23_SY573,type,
sK23_SY573: $i > $i > $i ).
thf(tp_sK24_SY575,type,
sK24_SY575: $i > $i > $i ).
thf(tp_sK25_SY577,type,
sK25_SY577: $i > $i > $i ).
thf(tp_sK26_SY579,type,
sK26_SY579: $i > $i > $i ).
thf(tp_sK27_SY581,type,
sK27_SY581: $i > $i > $i ).
thf(tp_sK28_SY583,type,
sK28_SY583: $i > $i > $i ).
thf(tp_sK29_SY585,type,
sK29_SY585: $i > $i > $i ).
thf(tp_sK2_SY508,type,
sK2_SY508: $i > $i ).
thf(tp_sK30_SY587,type,
sK30_SY587: $i > $i > $i ).
thf(tp_sK31_SY589,type,
sK31_SY589: $i > $i > $i ).
thf(tp_sK3_SY512,type,
sK3_SY512: $i > $i ).
thf(tp_sK4_SY516,type,
sK4_SY516: $i > $i ).
thf(tp_sK5_SY520,type,
sK5_SY520: $i > $i ).
thf(tp_sK6_SY524,type,
sK6_SY524: $i > $i ).
thf(tp_sK7_SY528,type,
sK7_SY528: $i > $i ).
thf(tp_sK8_SY532,type,
sK8_SY532: $i > $i ).
thf(tp_sK9_SY538,type,
sK9_SY538: $i > $i ).
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,
ivalid @ ( iimplies @ ( iatom @ p10 ) @ ( iimplies @ ( iatom @ p10 ) @ ( iatom @ p9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom11) ).
thf(2,axiom,
ivalid @ ( iimplies @ ( iatom @ p9 ) @ ( iimplies @ ( iatom @ p9 ) @ ( iatom @ p8 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom10) ).
thf(3,axiom,
ivalid @ ( iimplies @ ( iatom @ p8 ) @ ( iimplies @ ( iatom @ p8 ) @ ( iatom @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom9) ).
thf(4,axiom,
ivalid @ ( iimplies @ ( iatom @ p7 ) @ ( iimplies @ ( iatom @ p7 ) @ ( iatom @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom8) ).
thf(5,axiom,
ivalid @ ( iimplies @ ( iatom @ p6 ) @ ( iimplies @ ( iatom @ p6 ) @ ( iatom @ p5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom7) ).
thf(6,axiom,
ivalid @ ( iimplies @ ( iatom @ p5 ) @ ( iimplies @ ( iatom @ p5 ) @ ( iatom @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom6) ).
thf(7,axiom,
ivalid @ ( iimplies @ ( iatom @ p4 ) @ ( iimplies @ ( iatom @ p4 ) @ ( iatom @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom5) ).
thf(8,axiom,
ivalid @ ( iimplies @ ( iatom @ p3 ) @ ( iimplies @ ( iatom @ p3 ) @ ( iatom @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom4) ).
thf(9,axiom,
ivalid @ ( iimplies @ ( iatom @ p2 ) @ ( iimplies @ ( iatom @ p2 ) @ ( iatom @ p1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom3) ).
thf(10,axiom,
ivalid @ ( iimplies @ ( iatom @ p1 ) @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ p0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom2) ).
thf(11,axiom,
ivalid @ ( iatom @ p10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1) ).
thf(12,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(13,axiom,
! [X: $i] : ( irel @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_axiom) ).
thf(14,conjecture,
ivalid @ ( iatom @ p0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(15,negated_conjecture,
( ( ivalid @ ( iatom @ p0 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[14]) ).
thf(16,plain,
( ( ! [SY0: $i] : ( p0 @ SY0 ) )
= $false ),
inference(unfold_def,[status(thm)],[15,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(17,plain,
( ( ! [SY42: $i] :
( ~ ! [SY43: $i] :
( ( irel @ SY42 @ SY43 )
=> ( p10 @ SY43 ) )
| ! [SY44: $i] :
( ( irel @ SY42 @ SY44 )
=> ( ~ ! [SY40: $i] :
( ( irel @ SY44 @ SY40 )
=> ( p10 @ SY40 ) )
| ! [SY41: $i] :
( ( irel @ SY44 @ SY41 )
=> ( p9 @ SY41 ) ) ) ) ) )
= $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(18,plain,
( ( ! [SY92: $i] :
( ~ ! [SY93: $i] :
( ( irel @ SY92 @ SY93 )
=> ( p9 @ SY93 ) )
| ! [SY94: $i] :
( ( irel @ SY92 @ SY94 )
=> ( ~ ! [SY90: $i] :
( ( irel @ SY94 @ SY90 )
=> ( p9 @ SY90 ) )
| ! [SY91: $i] :
( ( irel @ SY94 @ SY91 )
=> ( p8 @ SY91 ) ) ) ) ) )
= $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(19,plain,
( ( ! [SY142: $i] :
( ~ ! [SY143: $i] :
( ( irel @ SY142 @ SY143 )
=> ( p8 @ SY143 ) )
| ! [SY144: $i] :
( ( irel @ SY142 @ SY144 )
=> ( ~ ! [SY140: $i] :
( ( irel @ SY144 @ SY140 )
=> ( p8 @ SY140 ) )
| ! [SY141: $i] :
( ( irel @ SY144 @ SY141 )
=> ( p7 @ SY141 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(20,plain,
( ( ! [SY192: $i] :
( ~ ! [SY193: $i] :
( ( irel @ SY192 @ SY193 )
=> ( p7 @ SY193 ) )
| ! [SY194: $i] :
( ( irel @ SY192 @ SY194 )
=> ( ~ ! [SY190: $i] :
( ( irel @ SY194 @ SY190 )
=> ( p7 @ SY190 ) )
| ! [SY191: $i] :
( ( irel @ SY194 @ SY191 )
=> ( p6 @ SY191 ) ) ) ) ) )
= $true ),
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(21,plain,
( ( ! [SY242: $i] :
( ~ ! [SY243: $i] :
( ( irel @ SY242 @ SY243 )
=> ( p6 @ SY243 ) )
| ! [SY244: $i] :
( ( irel @ SY242 @ SY244 )
=> ( ~ ! [SY240: $i] :
( ( irel @ SY244 @ SY240 )
=> ( p6 @ SY240 ) )
| ! [SY241: $i] :
( ( irel @ SY244 @ SY241 )
=> ( p5 @ SY241 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(22,plain,
( ( ! [SY292: $i] :
( ~ ! [SY293: $i] :
( ( irel @ SY292 @ SY293 )
=> ( p5 @ SY293 ) )
| ! [SY294: $i] :
( ( irel @ SY292 @ SY294 )
=> ( ~ ! [SY290: $i] :
( ( irel @ SY294 @ SY290 )
=> ( p5 @ SY290 ) )
| ! [SY291: $i] :
( ( irel @ SY294 @ SY291 )
=> ( p4 @ SY291 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(23,plain,
( ( ! [SY342: $i] :
( ~ ! [SY343: $i] :
( ( irel @ SY342 @ SY343 )
=> ( p4 @ SY343 ) )
| ! [SY344: $i] :
( ( irel @ SY342 @ SY344 )
=> ( ~ ! [SY340: $i] :
( ( irel @ SY344 @ SY340 )
=> ( p4 @ SY340 ) )
| ! [SY341: $i] :
( ( irel @ SY344 @ SY341 )
=> ( p3 @ SY341 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(24,plain,
( ( ! [SY392: $i] :
( ~ ! [SY393: $i] :
( ( irel @ SY392 @ SY393 )
=> ( p3 @ SY393 ) )
| ! [SY394: $i] :
( ( irel @ SY392 @ SY394 )
=> ( ~ ! [SY390: $i] :
( ( irel @ SY394 @ SY390 )
=> ( p3 @ SY390 ) )
| ! [SY391: $i] :
( ( irel @ SY394 @ SY391 )
=> ( p2 @ SY391 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(25,plain,
( ( ! [SY442: $i] :
( ~ ! [SY443: $i] :
( ( irel @ SY442 @ SY443 )
=> ( p2 @ SY443 ) )
| ! [SY444: $i] :
( ( irel @ SY442 @ SY444 )
=> ( ~ ! [SY440: $i] :
( ( irel @ SY444 @ SY440 )
=> ( p2 @ SY440 ) )
| ! [SY441: $i] :
( ( irel @ SY444 @ SY441 )
=> ( p1 @ SY441 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(26,plain,
( ( ! [SY492: $i] :
( ~ ! [SY493: $i] :
( ( irel @ SY492 @ SY493 )
=> ( p1 @ SY493 ) )
| ! [SY494: $i] :
( ( irel @ SY492 @ SY494 )
=> ( ~ ! [SY490: $i] :
( ( irel @ SY494 @ SY490 )
=> ( p1 @ SY490 ) )
| ! [SY491: $i] :
( ( irel @ SY494 @ SY491 )
=> ( p0 @ SY491 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(27,plain,
( ( ! [SY502: $i] : ( p10 @ SY502 ) )
= $true ),
inference(unfold_def,[status(thm)],[11,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(28,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( irel @ X @ Y )
& ( irel @ Y @ Z ) )
=> ( irel @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(29,plain,
( ( ! [X: $i] : ( irel @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[13,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(30,plain,
( ( p0 @ sK1_SY0 )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[16]) ).
thf(31,plain,
( ( ~ ( p0 @ sK1_SY0 ) )
= $true ),
inference(polarity_switch,[status(thm)],[30]) ).
thf(32,plain,
( ( ! [X: $i] : ( irel @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(33,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( irel @ X @ Y )
& ( irel @ Y @ Z ) )
=> ( irel @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(34,plain,
( ( ! [SY502: $i] : ( p10 @ SY502 ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(35,plain,
( ( ! [SY492: $i] :
( ~ ! [SY493: $i] :
( ( irel @ SY492 @ SY493 )
=> ( p1 @ SY493 ) )
| ! [SY494: $i] :
( ( irel @ SY492 @ SY494 )
=> ( ~ ! [SY490: $i] :
( ( irel @ SY494 @ SY490 )
=> ( p1 @ SY490 ) )
| ! [SY491: $i] :
( ( irel @ SY494 @ SY491 )
=> ( p0 @ SY491 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(36,plain,
( ( ! [SY442: $i] :
( ~ ! [SY443: $i] :
( ( irel @ SY442 @ SY443 )
=> ( p2 @ SY443 ) )
| ! [SY444: $i] :
( ( irel @ SY442 @ SY444 )
=> ( ~ ! [SY440: $i] :
( ( irel @ SY444 @ SY440 )
=> ( p2 @ SY440 ) )
| ! [SY441: $i] :
( ( irel @ SY444 @ SY441 )
=> ( p1 @ SY441 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(37,plain,
( ( ! [SY392: $i] :
( ~ ! [SY393: $i] :
( ( irel @ SY392 @ SY393 )
=> ( p3 @ SY393 ) )
| ! [SY394: $i] :
( ( irel @ SY392 @ SY394 )
=> ( ~ ! [SY390: $i] :
( ( irel @ SY394 @ SY390 )
=> ( p3 @ SY390 ) )
| ! [SY391: $i] :
( ( irel @ SY394 @ SY391 )
=> ( p2 @ SY391 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(38,plain,
( ( ! [SY342: $i] :
( ~ ! [SY343: $i] :
( ( irel @ SY342 @ SY343 )
=> ( p4 @ SY343 ) )
| ! [SY344: $i] :
( ( irel @ SY342 @ SY344 )
=> ( ~ ! [SY340: $i] :
( ( irel @ SY344 @ SY340 )
=> ( p4 @ SY340 ) )
| ! [SY341: $i] :
( ( irel @ SY344 @ SY341 )
=> ( p3 @ SY341 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(39,plain,
( ( ! [SY292: $i] :
( ~ ! [SY293: $i] :
( ( irel @ SY292 @ SY293 )
=> ( p5 @ SY293 ) )
| ! [SY294: $i] :
( ( irel @ SY292 @ SY294 )
=> ( ~ ! [SY290: $i] :
( ( irel @ SY294 @ SY290 )
=> ( p5 @ SY290 ) )
| ! [SY291: $i] :
( ( irel @ SY294 @ SY291 )
=> ( p4 @ SY291 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(40,plain,
( ( ! [SY242: $i] :
( ~ ! [SY243: $i] :
( ( irel @ SY242 @ SY243 )
=> ( p6 @ SY243 ) )
| ! [SY244: $i] :
( ( irel @ SY242 @ SY244 )
=> ( ~ ! [SY240: $i] :
( ( irel @ SY244 @ SY240 )
=> ( p6 @ SY240 ) )
| ! [SY241: $i] :
( ( irel @ SY244 @ SY241 )
=> ( p5 @ SY241 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(41,plain,
( ( ! [SY192: $i] :
( ~ ! [SY193: $i] :
( ( irel @ SY192 @ SY193 )
=> ( p7 @ SY193 ) )
| ! [SY194: $i] :
( ( irel @ SY192 @ SY194 )
=> ( ~ ! [SY190: $i] :
( ( irel @ SY194 @ SY190 )
=> ( p7 @ SY190 ) )
| ! [SY191: $i] :
( ( irel @ SY194 @ SY191 )
=> ( p6 @ SY191 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(42,plain,
( ( ! [SY142: $i] :
( ~ ! [SY143: $i] :
( ( irel @ SY142 @ SY143 )
=> ( p8 @ SY143 ) )
| ! [SY144: $i] :
( ( irel @ SY142 @ SY144 )
=> ( ~ ! [SY140: $i] :
( ( irel @ SY144 @ SY140 )
=> ( p8 @ SY140 ) )
| ! [SY141: $i] :
( ( irel @ SY144 @ SY141 )
=> ( p7 @ SY141 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(43,plain,
( ( ! [SY92: $i] :
( ~ ! [SY93: $i] :
( ( irel @ SY92 @ SY93 )
=> ( p9 @ SY93 ) )
| ! [SY94: $i] :
( ( irel @ SY92 @ SY94 )
=> ( ~ ! [SY90: $i] :
( ( irel @ SY94 @ SY90 )
=> ( p9 @ SY90 ) )
| ! [SY91: $i] :
( ( irel @ SY94 @ SY91 )
=> ( p8 @ SY91 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(44,plain,
( ( ! [SY42: $i] :
( ~ ! [SY43: $i] :
( ( irel @ SY42 @ SY43 )
=> ( p10 @ SY43 ) )
| ! [SY44: $i] :
( ( irel @ SY42 @ SY44 )
=> ( ~ ! [SY40: $i] :
( ( irel @ SY44 @ SY40 )
=> ( p10 @ SY40 ) )
| ! [SY41: $i] :
( ( irel @ SY44 @ SY41 )
=> ( p9 @ SY41 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(45,plain,
( ( ~ ( p0 @ sK1_SY0 ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(46,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p9 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p8 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(47,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p1 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(48,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p5 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p4 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(49,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p8 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p7 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(50,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p7 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p6 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(51,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p2 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(52,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p3 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p2 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(53,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( irel @ SX0 @ SX1 )
| ~ ( irel @ SX1 @ SX2 ) )
| ( irel @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(54,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p10 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p9 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(55,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p4 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p3 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(56,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p6 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p5 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(57,plain,
! [SV1: $i] :
( ( irel @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(58,plain,
! [SV2: $i] :
( ( p10 @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(59,plain,
( ( p0 @ sK1_SY0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(60,plain,
! [SV3: $i] :
( ( ~ ! [SY508: $i] :
( ~ ( irel @ SV3 @ SY508 )
| ( p9 @ SY508 ) )
| ! [SY509: $i] :
( ~ ( irel @ SV3 @ SY509 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY509 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY509 @ SX2 )
| ( p8 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(61,plain,
! [SV4: $i] :
( ( ~ ! [SY512: $i] :
( ~ ( irel @ SV4 @ SY512 )
| ( p1 @ SY512 ) )
| ! [SY513: $i] :
( ~ ( irel @ SV4 @ SY513 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY513 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY513 @ SX2 )
| ( p0 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(62,plain,
! [SV5: $i] :
( ( ~ ! [SY516: $i] :
( ~ ( irel @ SV5 @ SY516 )
| ( p5 @ SY516 ) )
| ! [SY517: $i] :
( ~ ( irel @ SV5 @ SY517 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY517 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY517 @ SX2 )
| ( p4 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(63,plain,
! [SV6: $i] :
( ( ~ ! [SY520: $i] :
( ~ ( irel @ SV6 @ SY520 )
| ( p8 @ SY520 ) )
| ! [SY521: $i] :
( ~ ( irel @ SV6 @ SY521 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY521 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY521 @ SX2 )
| ( p7 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(64,plain,
! [SV7: $i] :
( ( ~ ! [SY524: $i] :
( ~ ( irel @ SV7 @ SY524 )
| ( p7 @ SY524 ) )
| ! [SY525: $i] :
( ~ ( irel @ SV7 @ SY525 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY525 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY525 @ SX2 )
| ( p6 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(65,plain,
! [SV8: $i] :
( ( ~ ! [SY528: $i] :
( ~ ( irel @ SV8 @ SY528 )
| ( p2 @ SY528 ) )
| ! [SY529: $i] :
( ~ ( irel @ SV8 @ SY529 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY529 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY529 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(66,plain,
! [SV9: $i] :
( ( ~ ! [SY532: $i] :
( ~ ( irel @ SV9 @ SY532 )
| ( p3 @ SY532 ) )
| ! [SY533: $i] :
( ~ ( irel @ SV9 @ SY533 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY533 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY533 @ SX2 )
| ( p2 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(67,plain,
! [SV10: $i] :
( ( ! [SY536: $i,SY537: $i] :
( ~ ~ ( ~ ( irel @ SV10 @ SY536 )
| ~ ( irel @ SY536 @ SY537 ) )
| ( irel @ SV10 @ SY537 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(68,plain,
! [SV11: $i] :
( ( ~ ! [SY538: $i] :
( ~ ( irel @ SV11 @ SY538 )
| ( p10 @ SY538 ) )
| ! [SY539: $i] :
( ~ ( irel @ SV11 @ SY539 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY539 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY539 @ SX2 )
| ( p9 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(69,plain,
! [SV12: $i] :
( ( ~ ! [SY542: $i] :
( ~ ( irel @ SV12 @ SY542 )
| ( p4 @ SY542 ) )
| ! [SY543: $i] :
( ~ ( irel @ SV12 @ SY543 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY543 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY543 @ SX2 )
| ( p3 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(70,plain,
! [SV13: $i] :
( ( ~ ! [SY546: $i] :
( ~ ( irel @ SV13 @ SY546 )
| ( p6 @ SY546 ) )
| ! [SY547: $i] :
( ~ ( irel @ SV13 @ SY547 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY547 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY547 @ SX2 )
| ( p5 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(71,plain,
! [SV3: $i] :
( ( ( ~ ! [SY508: $i] :
( ~ ( irel @ SV3 @ SY508 )
| ( p9 @ SY508 ) ) )
= $true )
| ( ( ! [SY509: $i] :
( ~ ( irel @ SV3 @ SY509 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY509 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY509 @ SX2 )
| ( p8 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(72,plain,
! [SV4: $i] :
( ( ( ~ ! [SY512: $i] :
( ~ ( irel @ SV4 @ SY512 )
| ( p1 @ SY512 ) ) )
= $true )
| ( ( ! [SY513: $i] :
( ~ ( irel @ SV4 @ SY513 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY513 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY513 @ SX2 )
| ( p0 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(73,plain,
! [SV5: $i] :
( ( ( ~ ! [SY516: $i] :
( ~ ( irel @ SV5 @ SY516 )
| ( p5 @ SY516 ) ) )
= $true )
| ( ( ! [SY517: $i] :
( ~ ( irel @ SV5 @ SY517 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY517 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY517 @ SX2 )
| ( p4 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(74,plain,
! [SV6: $i] :
( ( ( ~ ! [SY520: $i] :
( ~ ( irel @ SV6 @ SY520 )
| ( p8 @ SY520 ) ) )
= $true )
| ( ( ! [SY521: $i] :
( ~ ( irel @ SV6 @ SY521 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY521 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY521 @ SX2 )
| ( p7 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(75,plain,
! [SV7: $i] :
( ( ( ~ ! [SY524: $i] :
( ~ ( irel @ SV7 @ SY524 )
| ( p7 @ SY524 ) ) )
= $true )
| ( ( ! [SY525: $i] :
( ~ ( irel @ SV7 @ SY525 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY525 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY525 @ SX2 )
| ( p6 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(76,plain,
! [SV8: $i] :
( ( ( ~ ! [SY528: $i] :
( ~ ( irel @ SV8 @ SY528 )
| ( p2 @ SY528 ) ) )
= $true )
| ( ( ! [SY529: $i] :
( ~ ( irel @ SV8 @ SY529 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY529 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY529 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(77,plain,
! [SV9: $i] :
( ( ( ~ ! [SY532: $i] :
( ~ ( irel @ SV9 @ SY532 )
| ( p3 @ SY532 ) ) )
= $true )
| ( ( ! [SY533: $i] :
( ~ ( irel @ SV9 @ SY533 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY533 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY533 @ SX2 )
| ( p2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(78,plain,
! [SV14: $i,SV10: $i] :
( ( ! [SY550: $i] :
( ~ ~ ( ~ ( irel @ SV10 @ SV14 )
| ~ ( irel @ SV14 @ SY550 ) )
| ( irel @ SV10 @ SY550 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(79,plain,
! [SV11: $i] :
( ( ( ~ ! [SY538: $i] :
( ~ ( irel @ SV11 @ SY538 )
| ( p10 @ SY538 ) ) )
= $true )
| ( ( ! [SY539: $i] :
( ~ ( irel @ SV11 @ SY539 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY539 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY539 @ SX2 )
| ( p9 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(80,plain,
! [SV12: $i] :
( ( ( ~ ! [SY542: $i] :
( ~ ( irel @ SV12 @ SY542 )
| ( p4 @ SY542 ) ) )
= $true )
| ( ( ! [SY543: $i] :
( ~ ( irel @ SV12 @ SY543 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY543 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY543 @ SX2 )
| ( p3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(81,plain,
! [SV13: $i] :
( ( ( ~ ! [SY546: $i] :
( ~ ( irel @ SV13 @ SY546 )
| ( p6 @ SY546 ) ) )
= $true )
| ( ( ! [SY547: $i] :
( ~ ( irel @ SV13 @ SY547 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY547 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY547 @ SX2 )
| ( p5 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(82,plain,
! [SV3: $i] :
( ( ( ! [SY508: $i] :
( ~ ( irel @ SV3 @ SY508 )
| ( p9 @ SY508 ) ) )
= $false )
| ( ( ! [SY509: $i] :
( ~ ( irel @ SV3 @ SY509 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY509 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY509 @ SX2 )
| ( p8 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(83,plain,
! [SV4: $i] :
( ( ( ! [SY512: $i] :
( ~ ( irel @ SV4 @ SY512 )
| ( p1 @ SY512 ) ) )
= $false )
| ( ( ! [SY513: $i] :
( ~ ( irel @ SV4 @ SY513 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY513 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY513 @ SX2 )
| ( p0 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(84,plain,
! [SV5: $i] :
( ( ( ! [SY516: $i] :
( ~ ( irel @ SV5 @ SY516 )
| ( p5 @ SY516 ) ) )
= $false )
| ( ( ! [SY517: $i] :
( ~ ( irel @ SV5 @ SY517 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY517 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY517 @ SX2 )
| ( p4 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(85,plain,
! [SV6: $i] :
( ( ( ! [SY520: $i] :
( ~ ( irel @ SV6 @ SY520 )
| ( p8 @ SY520 ) ) )
= $false )
| ( ( ! [SY521: $i] :
( ~ ( irel @ SV6 @ SY521 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY521 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY521 @ SX2 )
| ( p7 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(86,plain,
! [SV7: $i] :
( ( ( ! [SY524: $i] :
( ~ ( irel @ SV7 @ SY524 )
| ( p7 @ SY524 ) ) )
= $false )
| ( ( ! [SY525: $i] :
( ~ ( irel @ SV7 @ SY525 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY525 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY525 @ SX2 )
| ( p6 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(87,plain,
! [SV8: $i] :
( ( ( ! [SY528: $i] :
( ~ ( irel @ SV8 @ SY528 )
| ( p2 @ SY528 ) ) )
= $false )
| ( ( ! [SY529: $i] :
( ~ ( irel @ SV8 @ SY529 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY529 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY529 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(88,plain,
! [SV9: $i] :
( ( ( ! [SY532: $i] :
( ~ ( irel @ SV9 @ SY532 )
| ( p3 @ SY532 ) ) )
= $false )
| ( ( ! [SY533: $i] :
( ~ ( irel @ SV9 @ SY533 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY533 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY533 @ SX2 )
| ( p2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(89,plain,
! [SV15: $i,SV14: $i,SV10: $i] :
( ( ~ ~ ( ~ ( irel @ SV10 @ SV14 )
| ~ ( irel @ SV14 @ SV15 ) )
| ( irel @ SV10 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(90,plain,
! [SV11: $i] :
( ( ( ! [SY538: $i] :
( ~ ( irel @ SV11 @ SY538 )
| ( p10 @ SY538 ) ) )
= $false )
| ( ( ! [SY539: $i] :
( ~ ( irel @ SV11 @ SY539 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY539 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY539 @ SX2 )
| ( p9 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(91,plain,
! [SV12: $i] :
( ( ( ! [SY542: $i] :
( ~ ( irel @ SV12 @ SY542 )
| ( p4 @ SY542 ) ) )
= $false )
| ( ( ! [SY543: $i] :
( ~ ( irel @ SV12 @ SY543 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY543 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY543 @ SX2 )
| ( p3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(92,plain,
! [SV13: $i] :
( ( ( ! [SY546: $i] :
( ~ ( irel @ SV13 @ SY546 )
| ( p6 @ SY546 ) ) )
= $false )
| ( ( ! [SY547: $i] :
( ~ ( irel @ SV13 @ SY547 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY547 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY547 @ SX2 )
| ( p5 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(93,plain,
! [SV3: $i] :
( ( ( ~ ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
| ( p9 @ ( sK2_SY508 @ SV3 ) ) )
= $false )
| ( ( ! [SY509: $i] :
( ~ ( irel @ SV3 @ SY509 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY509 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY509 @ SX2 )
| ( p8 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[82]) ).
thf(94,plain,
! [SV4: $i] :
( ( ( ~ ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
| ( p1 @ ( sK3_SY512 @ SV4 ) ) )
= $false )
| ( ( ! [SY513: $i] :
( ~ ( irel @ SV4 @ SY513 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY513 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY513 @ SX2 )
| ( p0 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[83]) ).
thf(95,plain,
! [SV5: $i] :
( ( ( ~ ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
| ( p5 @ ( sK4_SY516 @ SV5 ) ) )
= $false )
| ( ( ! [SY517: $i] :
( ~ ( irel @ SV5 @ SY517 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY517 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY517 @ SX2 )
| ( p4 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[84]) ).
thf(96,plain,
! [SV6: $i] :
( ( ( ~ ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
| ( p8 @ ( sK5_SY520 @ SV6 ) ) )
= $false )
| ( ( ! [SY521: $i] :
( ~ ( irel @ SV6 @ SY521 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY521 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY521 @ SX2 )
| ( p7 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[85]) ).
thf(97,plain,
! [SV7: $i] :
( ( ( ~ ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
| ( p7 @ ( sK6_SY524 @ SV7 ) ) )
= $false )
| ( ( ! [SY525: $i] :
( ~ ( irel @ SV7 @ SY525 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY525 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY525 @ SX2 )
| ( p6 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[86]) ).
thf(98,plain,
! [SV8: $i] :
( ( ( ~ ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
| ( p2 @ ( sK7_SY528 @ SV8 ) ) )
= $false )
| ( ( ! [SY529: $i] :
( ~ ( irel @ SV8 @ SY529 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY529 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY529 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[87]) ).
thf(99,plain,
! [SV9: $i] :
( ( ( ~ ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
| ( p3 @ ( sK8_SY532 @ SV9 ) ) )
= $false )
| ( ( ! [SY533: $i] :
( ~ ( irel @ SV9 @ SY533 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY533 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY533 @ SX2 )
| ( p2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[88]) ).
thf(100,plain,
! [SV15: $i,SV14: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( irel @ SV10 @ SV14 )
| ~ ( irel @ SV14 @ SV15 ) ) )
= $true )
| ( ( irel @ SV10 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(101,plain,
! [SV11: $i] :
( ( ( ~ ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
| ( p10 @ ( sK9_SY538 @ SV11 ) ) )
= $false )
| ( ( ! [SY539: $i] :
( ~ ( irel @ SV11 @ SY539 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY539 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY539 @ SX2 )
| ( p9 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[90]) ).
thf(102,plain,
! [SV12: $i] :
( ( ( ~ ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
| ( p4 @ ( sK10_SY542 @ SV12 ) ) )
= $false )
| ( ( ! [SY543: $i] :
( ~ ( irel @ SV12 @ SY543 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY543 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY543 @ SX2 )
| ( p3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[91]) ).
thf(103,plain,
! [SV13: $i] :
( ( ( ~ ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
| ( p6 @ ( sK11_SY546 @ SV13 ) ) )
= $false )
| ( ( ! [SY547: $i] :
( ~ ( irel @ SV13 @ SY547 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY547 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY547 @ SX2 )
| ( p5 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[92]) ).
thf(104,plain,
! [SV3: $i] :
( ( ( ~ ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) ) )
= $false )
| ( ( ! [SY509: $i] :
( ~ ( irel @ SV3 @ SY509 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY509 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY509 @ SX2 )
| ( p8 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(105,plain,
! [SV3: $i] :
( ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false )
| ( ( ! [SY509: $i] :
( ~ ( irel @ SV3 @ SY509 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY509 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY509 @ SX2 )
| ( p8 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(106,plain,
! [SV4: $i] :
( ( ( ~ ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) ) )
= $false )
| ( ( ! [SY513: $i] :
( ~ ( irel @ SV4 @ SY513 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY513 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY513 @ SX2 )
| ( p0 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(107,plain,
! [SV4: $i] :
( ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false )
| ( ( ! [SY513: $i] :
( ~ ( irel @ SV4 @ SY513 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY513 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY513 @ SX2 )
| ( p0 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(108,plain,
! [SV5: $i] :
( ( ( ~ ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) ) )
= $false )
| ( ( ! [SY517: $i] :
( ~ ( irel @ SV5 @ SY517 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY517 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY517 @ SX2 )
| ( p4 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(109,plain,
! [SV5: $i] :
( ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false )
| ( ( ! [SY517: $i] :
( ~ ( irel @ SV5 @ SY517 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY517 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY517 @ SX2 )
| ( p4 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(110,plain,
! [SV6: $i] :
( ( ( ~ ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) ) )
= $false )
| ( ( ! [SY521: $i] :
( ~ ( irel @ SV6 @ SY521 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY521 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY521 @ SX2 )
| ( p7 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(111,plain,
! [SV6: $i] :
( ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false )
| ( ( ! [SY521: $i] :
( ~ ( irel @ SV6 @ SY521 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY521 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY521 @ SX2 )
| ( p7 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(112,plain,
! [SV7: $i] :
( ( ( ~ ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) ) )
= $false )
| ( ( ! [SY525: $i] :
( ~ ( irel @ SV7 @ SY525 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY525 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY525 @ SX2 )
| ( p6 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(113,plain,
! [SV7: $i] :
( ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false )
| ( ( ! [SY525: $i] :
( ~ ( irel @ SV7 @ SY525 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY525 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY525 @ SX2 )
| ( p6 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(114,plain,
! [SV8: $i] :
( ( ( ~ ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) ) )
= $false )
| ( ( ! [SY529: $i] :
( ~ ( irel @ SV8 @ SY529 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY529 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY529 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(115,plain,
! [SV8: $i] :
( ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false )
| ( ( ! [SY529: $i] :
( ~ ( irel @ SV8 @ SY529 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY529 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY529 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(116,plain,
! [SV9: $i] :
( ( ( ~ ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) ) )
= $false )
| ( ( ! [SY533: $i] :
( ~ ( irel @ SV9 @ SY533 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY533 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY533 @ SX2 )
| ( p2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(117,plain,
! [SV9: $i] :
( ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false )
| ( ( ! [SY533: $i] :
( ~ ( irel @ SV9 @ SY533 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY533 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY533 @ SX2 )
| ( p2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(118,plain,
! [SV15: $i,SV14: $i,SV10: $i] :
( ( ( ~ ( ~ ( irel @ SV10 @ SV14 )
| ~ ( irel @ SV14 @ SV15 ) ) )
= $false )
| ( ( irel @ SV10 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(119,plain,
! [SV11: $i] :
( ( ( ~ ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) ) )
= $false )
| ( ( ! [SY539: $i] :
( ~ ( irel @ SV11 @ SY539 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY539 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY539 @ SX2 )
| ( p9 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(120,plain,
! [SV11: $i] :
( ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false )
| ( ( ! [SY539: $i] :
( ~ ( irel @ SV11 @ SY539 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY539 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY539 @ SX2 )
| ( p9 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(121,plain,
! [SV12: $i] :
( ( ( ~ ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) ) )
= $false )
| ( ( ! [SY543: $i] :
( ~ ( irel @ SV12 @ SY543 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY543 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY543 @ SX2 )
| ( p3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(122,plain,
! [SV12: $i] :
( ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false )
| ( ( ! [SY543: $i] :
( ~ ( irel @ SV12 @ SY543 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY543 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY543 @ SX2 )
| ( p3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(123,plain,
! [SV13: $i] :
( ( ( ~ ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) ) )
= $false )
| ( ( ! [SY547: $i] :
( ~ ( irel @ SV13 @ SY547 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY547 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY547 @ SX2 )
| ( p5 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(124,plain,
! [SV13: $i] :
( ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false )
| ( ( ! [SY547: $i] :
( ~ ( irel @ SV13 @ SY547 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY547 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY547 @ SX2 )
| ( p5 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(125,plain,
! [SV3: $i] :
( ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true )
| ( ( ! [SY509: $i] :
( ~ ( irel @ SV3 @ SY509 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY509 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY509 @ SX2 )
| ( p8 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(126,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( irel @ SV3 @ SV16 )
| ~ ! [SY551: $i] :
( ~ ( irel @ SV16 @ SY551 )
| ( p9 @ SY551 ) )
| ! [SY552: $i] :
( ~ ( irel @ SV16 @ SY552 )
| ( p8 @ SY552 ) ) )
= $true )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(127,plain,
! [SV4: $i] :
( ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true )
| ( ( ! [SY513: $i] :
( ~ ( irel @ SV4 @ SY513 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY513 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY513 @ SX2 )
| ( p0 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(128,plain,
! [SV17: $i,SV4: $i] :
( ( ( ~ ( irel @ SV4 @ SV17 )
| ~ ! [SY553: $i] :
( ~ ( irel @ SV17 @ SY553 )
| ( p1 @ SY553 ) )
| ! [SY554: $i] :
( ~ ( irel @ SV17 @ SY554 )
| ( p0 @ SY554 ) ) )
= $true )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(129,plain,
! [SV5: $i] :
( ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true )
| ( ( ! [SY517: $i] :
( ~ ( irel @ SV5 @ SY517 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY517 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY517 @ SX2 )
| ( p4 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(130,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV18 )
| ~ ! [SY555: $i] :
( ~ ( irel @ SV18 @ SY555 )
| ( p5 @ SY555 ) )
| ! [SY556: $i] :
( ~ ( irel @ SV18 @ SY556 )
| ( p4 @ SY556 ) ) )
= $true )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(131,plain,
! [SV6: $i] :
( ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true )
| ( ( ! [SY521: $i] :
( ~ ( irel @ SV6 @ SY521 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY521 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY521 @ SX2 )
| ( p7 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(132,plain,
! [SV19: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV19 )
| ~ ! [SY557: $i] :
( ~ ( irel @ SV19 @ SY557 )
| ( p8 @ SY557 ) )
| ! [SY558: $i] :
( ~ ( irel @ SV19 @ SY558 )
| ( p7 @ SY558 ) ) )
= $true )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(133,plain,
! [SV7: $i] :
( ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true )
| ( ( ! [SY525: $i] :
( ~ ( irel @ SV7 @ SY525 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY525 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY525 @ SX2 )
| ( p6 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(134,plain,
! [SV20: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV20 )
| ~ ! [SY559: $i] :
( ~ ( irel @ SV20 @ SY559 )
| ( p7 @ SY559 ) )
| ! [SY560: $i] :
( ~ ( irel @ SV20 @ SY560 )
| ( p6 @ SY560 ) ) )
= $true )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(135,plain,
! [SV8: $i] :
( ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true )
| ( ( ! [SY529: $i] :
( ~ ( irel @ SV8 @ SY529 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY529 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY529 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(136,plain,
! [SV21: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV21 )
| ~ ! [SY561: $i] :
( ~ ( irel @ SV21 @ SY561 )
| ( p2 @ SY561 ) )
| ! [SY562: $i] :
( ~ ( irel @ SV21 @ SY562 )
| ( p1 @ SY562 ) ) )
= $true )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(137,plain,
! [SV9: $i] :
( ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true )
| ( ( ! [SY533: $i] :
( ~ ( irel @ SV9 @ SY533 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY533 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY533 @ SX2 )
| ( p2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(138,plain,
! [SV22: $i,SV9: $i] :
( ( ( ~ ( irel @ SV9 @ SV22 )
| ~ ! [SY563: $i] :
( ~ ( irel @ SV22 @ SY563 )
| ( p3 @ SY563 ) )
| ! [SY564: $i] :
( ~ ( irel @ SV22 @ SY564 )
| ( p2 @ SY564 ) ) )
= $true )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(139,plain,
! [SV15: $i,SV14: $i,SV10: $i] :
( ( ( ~ ( irel @ SV10 @ SV14 )
| ~ ( irel @ SV14 @ SV15 ) )
= $true )
| ( ( irel @ SV10 @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(140,plain,
! [SV11: $i] :
( ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true )
| ( ( ! [SY539: $i] :
( ~ ( irel @ SV11 @ SY539 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY539 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY539 @ SX2 )
| ( p9 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(141,plain,
! [SV23: $i,SV11: $i] :
( ( ( ~ ( irel @ SV11 @ SV23 )
| ~ ! [SY565: $i] :
( ~ ( irel @ SV23 @ SY565 )
| ( p10 @ SY565 ) )
| ! [SY566: $i] :
( ~ ( irel @ SV23 @ SY566 )
| ( p9 @ SY566 ) ) )
= $true )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(142,plain,
! [SV12: $i] :
( ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true )
| ( ( ! [SY543: $i] :
( ~ ( irel @ SV12 @ SY543 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY543 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY543 @ SX2 )
| ( p3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(143,plain,
! [SV24: $i,SV12: $i] :
( ( ( ~ ( irel @ SV12 @ SV24 )
| ~ ! [SY567: $i] :
( ~ ( irel @ SV24 @ SY567 )
| ( p4 @ SY567 ) )
| ! [SY568: $i] :
( ~ ( irel @ SV24 @ SY568 )
| ( p3 @ SY568 ) ) )
= $true )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(144,plain,
! [SV13: $i] :
( ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true )
| ( ( ! [SY547: $i] :
( ~ ( irel @ SV13 @ SY547 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY547 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY547 @ SX2 )
| ( p5 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(145,plain,
! [SV25: $i,SV13: $i] :
( ( ( ~ ( irel @ SV13 @ SV25 )
| ~ ! [SY569: $i] :
( ~ ( irel @ SV25 @ SY569 )
| ( p6 @ SY569 ) )
| ! [SY570: $i] :
( ~ ( irel @ SV25 @ SY570 )
| ( p5 @ SY570 ) ) )
= $true )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(146,plain,
! [SV26: $i,SV3: $i] :
( ( ( ~ ( irel @ SV3 @ SV26 )
| ~ ! [SY571: $i] :
( ~ ( irel @ SV26 @ SY571 )
| ( p9 @ SY571 ) )
| ! [SY572: $i] :
( ~ ( irel @ SV26 @ SY572 )
| ( p8 @ SY572 ) ) )
= $true )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(147,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( irel @ SV3 @ SV16 ) )
= $true )
| ( ( ~ ! [SY551: $i] :
( ~ ( irel @ SV16 @ SY551 )
| ( p9 @ SY551 ) )
| ! [SY552: $i] :
( ~ ( irel @ SV16 @ SY552 )
| ( p8 @ SY552 ) ) )
= $true )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(148,plain,
! [SV27: $i,SV4: $i] :
( ( ( ~ ( irel @ SV4 @ SV27 )
| ~ ! [SY573: $i] :
( ~ ( irel @ SV27 @ SY573 )
| ( p1 @ SY573 ) )
| ! [SY574: $i] :
( ~ ( irel @ SV27 @ SY574 )
| ( p0 @ SY574 ) ) )
= $true )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(149,plain,
! [SV17: $i,SV4: $i] :
( ( ( ~ ( irel @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ! [SY553: $i] :
( ~ ( irel @ SV17 @ SY553 )
| ( p1 @ SY553 ) )
| ! [SY554: $i] :
( ~ ( irel @ SV17 @ SY554 )
| ( p0 @ SY554 ) ) )
= $true )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(150,plain,
! [SV28: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV28 )
| ~ ! [SY575: $i] :
( ~ ( irel @ SV28 @ SY575 )
| ( p5 @ SY575 ) )
| ! [SY576: $i] :
( ~ ( irel @ SV28 @ SY576 )
| ( p4 @ SY576 ) ) )
= $true )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(151,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV18 ) )
= $true )
| ( ( ~ ! [SY555: $i] :
( ~ ( irel @ SV18 @ SY555 )
| ( p5 @ SY555 ) )
| ! [SY556: $i] :
( ~ ( irel @ SV18 @ SY556 )
| ( p4 @ SY556 ) ) )
= $true )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(152,plain,
! [SV29: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV29 )
| ~ ! [SY577: $i] :
( ~ ( irel @ SV29 @ SY577 )
| ( p8 @ SY577 ) )
| ! [SY578: $i] :
( ~ ( irel @ SV29 @ SY578 )
| ( p7 @ SY578 ) ) )
= $true )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(153,plain,
! [SV19: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV19 ) )
= $true )
| ( ( ~ ! [SY557: $i] :
( ~ ( irel @ SV19 @ SY557 )
| ( p8 @ SY557 ) )
| ! [SY558: $i] :
( ~ ( irel @ SV19 @ SY558 )
| ( p7 @ SY558 ) ) )
= $true )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(154,plain,
! [SV30: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV30 )
| ~ ! [SY579: $i] :
( ~ ( irel @ SV30 @ SY579 )
| ( p7 @ SY579 ) )
| ! [SY580: $i] :
( ~ ( irel @ SV30 @ SY580 )
| ( p6 @ SY580 ) ) )
= $true )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(155,plain,
! [SV20: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV20 ) )
= $true )
| ( ( ~ ! [SY559: $i] :
( ~ ( irel @ SV20 @ SY559 )
| ( p7 @ SY559 ) )
| ! [SY560: $i] :
( ~ ( irel @ SV20 @ SY560 )
| ( p6 @ SY560 ) ) )
= $true )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(156,plain,
! [SV31: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV31 )
| ~ ! [SY581: $i] :
( ~ ( irel @ SV31 @ SY581 )
| ( p2 @ SY581 ) )
| ! [SY582: $i] :
( ~ ( irel @ SV31 @ SY582 )
| ( p1 @ SY582 ) ) )
= $true )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(157,plain,
! [SV21: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV21 ) )
= $true )
| ( ( ~ ! [SY561: $i] :
( ~ ( irel @ SV21 @ SY561 )
| ( p2 @ SY561 ) )
| ! [SY562: $i] :
( ~ ( irel @ SV21 @ SY562 )
| ( p1 @ SY562 ) ) )
= $true )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(158,plain,
! [SV32: $i,SV9: $i] :
( ( ( ~ ( irel @ SV9 @ SV32 )
| ~ ! [SY583: $i] :
( ~ ( irel @ SV32 @ SY583 )
| ( p3 @ SY583 ) )
| ! [SY584: $i] :
( ~ ( irel @ SV32 @ SY584 )
| ( p2 @ SY584 ) ) )
= $true )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(159,plain,
! [SV22: $i,SV9: $i] :
( ( ( ~ ( irel @ SV9 @ SV22 ) )
= $true )
| ( ( ~ ! [SY563: $i] :
( ~ ( irel @ SV22 @ SY563 )
| ( p3 @ SY563 ) )
| ! [SY564: $i] :
( ~ ( irel @ SV22 @ SY564 )
| ( p2 @ SY564 ) ) )
= $true )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(160,plain,
! [SV15: $i,SV14: $i,SV10: $i] :
( ( ( ~ ( irel @ SV10 @ SV14 ) )
= $true )
| ( ( ~ ( irel @ SV14 @ SV15 ) )
= $true )
| ( ( irel @ SV10 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(161,plain,
! [SV33: $i,SV11: $i] :
( ( ( ~ ( irel @ SV11 @ SV33 )
| ~ ! [SY585: $i] :
( ~ ( irel @ SV33 @ SY585 )
| ( p10 @ SY585 ) )
| ! [SY586: $i] :
( ~ ( irel @ SV33 @ SY586 )
| ( p9 @ SY586 ) ) )
= $true )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(162,plain,
! [SV23: $i,SV11: $i] :
( ( ( ~ ( irel @ SV11 @ SV23 ) )
= $true )
| ( ( ~ ! [SY565: $i] :
( ~ ( irel @ SV23 @ SY565 )
| ( p10 @ SY565 ) )
| ! [SY566: $i] :
( ~ ( irel @ SV23 @ SY566 )
| ( p9 @ SY566 ) ) )
= $true )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(163,plain,
! [SV34: $i,SV12: $i] :
( ( ( ~ ( irel @ SV12 @ SV34 )
| ~ ! [SY587: $i] :
( ~ ( irel @ SV34 @ SY587 )
| ( p4 @ SY587 ) )
| ! [SY588: $i] :
( ~ ( irel @ SV34 @ SY588 )
| ( p3 @ SY588 ) ) )
= $true )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(164,plain,
! [SV24: $i,SV12: $i] :
( ( ( ~ ( irel @ SV12 @ SV24 ) )
= $true )
| ( ( ~ ! [SY567: $i] :
( ~ ( irel @ SV24 @ SY567 )
| ( p4 @ SY567 ) )
| ! [SY568: $i] :
( ~ ( irel @ SV24 @ SY568 )
| ( p3 @ SY568 ) ) )
= $true )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(165,plain,
! [SV35: $i,SV13: $i] :
( ( ( ~ ( irel @ SV13 @ SV35 )
| ~ ! [SY589: $i] :
( ~ ( irel @ SV35 @ SY589 )
| ( p6 @ SY589 ) )
| ! [SY590: $i] :
( ~ ( irel @ SV35 @ SY590 )
| ( p5 @ SY590 ) ) )
= $true )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(166,plain,
! [SV25: $i,SV13: $i] :
( ( ( ~ ( irel @ SV13 @ SV25 ) )
= $true )
| ( ( ~ ! [SY569: $i] :
( ~ ( irel @ SV25 @ SY569 )
| ( p6 @ SY569 ) )
| ! [SY570: $i] :
( ~ ( irel @ SV25 @ SY570 )
| ( p5 @ SY570 ) ) )
= $true )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(167,plain,
! [SV26: $i,SV3: $i] :
( ( ( ~ ( irel @ SV3 @ SV26 ) )
= $true )
| ( ( ~ ! [SY571: $i] :
( ~ ( irel @ SV26 @ SY571 )
| ( p9 @ SY571 ) )
| ! [SY572: $i] :
( ~ ( irel @ SV26 @ SY572 )
| ( p8 @ SY572 ) ) )
= $true )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(168,plain,
! [SV16: $i,SV3: $i] :
( ( ( irel @ SV3 @ SV16 )
= $false )
| ( ( ~ ! [SY551: $i] :
( ~ ( irel @ SV16 @ SY551 )
| ( p9 @ SY551 ) )
| ! [SY552: $i] :
( ~ ( irel @ SV16 @ SY552 )
| ( p8 @ SY552 ) ) )
= $true )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(169,plain,
! [SV27: $i,SV4: $i] :
( ( ( ~ ( irel @ SV4 @ SV27 ) )
= $true )
| ( ( ~ ! [SY573: $i] :
( ~ ( irel @ SV27 @ SY573 )
| ( p1 @ SY573 ) )
| ! [SY574: $i] :
( ~ ( irel @ SV27 @ SY574 )
| ( p0 @ SY574 ) ) )
= $true )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(170,plain,
! [SV17: $i,SV4: $i] :
( ( ( irel @ SV4 @ SV17 )
= $false )
| ( ( ~ ! [SY553: $i] :
( ~ ( irel @ SV17 @ SY553 )
| ( p1 @ SY553 ) )
| ! [SY554: $i] :
( ~ ( irel @ SV17 @ SY554 )
| ( p0 @ SY554 ) ) )
= $true )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(171,plain,
! [SV28: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV28 ) )
= $true )
| ( ( ~ ! [SY575: $i] :
( ~ ( irel @ SV28 @ SY575 )
| ( p5 @ SY575 ) )
| ! [SY576: $i] :
( ~ ( irel @ SV28 @ SY576 )
| ( p4 @ SY576 ) ) )
= $true )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(172,plain,
! [SV18: $i,SV5: $i] :
( ( ( irel @ SV5 @ SV18 )
= $false )
| ( ( ~ ! [SY555: $i] :
( ~ ( irel @ SV18 @ SY555 )
| ( p5 @ SY555 ) )
| ! [SY556: $i] :
( ~ ( irel @ SV18 @ SY556 )
| ( p4 @ SY556 ) ) )
= $true )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(173,plain,
! [SV29: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV29 ) )
= $true )
| ( ( ~ ! [SY577: $i] :
( ~ ( irel @ SV29 @ SY577 )
| ( p8 @ SY577 ) )
| ! [SY578: $i] :
( ~ ( irel @ SV29 @ SY578 )
| ( p7 @ SY578 ) ) )
= $true )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(174,plain,
! [SV19: $i,SV6: $i] :
( ( ( irel @ SV6 @ SV19 )
= $false )
| ( ( ~ ! [SY557: $i] :
( ~ ( irel @ SV19 @ SY557 )
| ( p8 @ SY557 ) )
| ! [SY558: $i] :
( ~ ( irel @ SV19 @ SY558 )
| ( p7 @ SY558 ) ) )
= $true )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(175,plain,
! [SV30: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV30 ) )
= $true )
| ( ( ~ ! [SY579: $i] :
( ~ ( irel @ SV30 @ SY579 )
| ( p7 @ SY579 ) )
| ! [SY580: $i] :
( ~ ( irel @ SV30 @ SY580 )
| ( p6 @ SY580 ) ) )
= $true )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(176,plain,
! [SV20: $i,SV7: $i] :
( ( ( irel @ SV7 @ SV20 )
= $false )
| ( ( ~ ! [SY559: $i] :
( ~ ( irel @ SV20 @ SY559 )
| ( p7 @ SY559 ) )
| ! [SY560: $i] :
( ~ ( irel @ SV20 @ SY560 )
| ( p6 @ SY560 ) ) )
= $true )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(177,plain,
! [SV31: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV31 ) )
= $true )
| ( ( ~ ! [SY581: $i] :
( ~ ( irel @ SV31 @ SY581 )
| ( p2 @ SY581 ) )
| ! [SY582: $i] :
( ~ ( irel @ SV31 @ SY582 )
| ( p1 @ SY582 ) ) )
= $true )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(178,plain,
! [SV21: $i,SV8: $i] :
( ( ( irel @ SV8 @ SV21 )
= $false )
| ( ( ~ ! [SY561: $i] :
( ~ ( irel @ SV21 @ SY561 )
| ( p2 @ SY561 ) )
| ! [SY562: $i] :
( ~ ( irel @ SV21 @ SY562 )
| ( p1 @ SY562 ) ) )
= $true )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(179,plain,
! [SV32: $i,SV9: $i] :
( ( ( ~ ( irel @ SV9 @ SV32 ) )
= $true )
| ( ( ~ ! [SY583: $i] :
( ~ ( irel @ SV32 @ SY583 )
| ( p3 @ SY583 ) )
| ! [SY584: $i] :
( ~ ( irel @ SV32 @ SY584 )
| ( p2 @ SY584 ) ) )
= $true )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(180,plain,
! [SV22: $i,SV9: $i] :
( ( ( irel @ SV9 @ SV22 )
= $false )
| ( ( ~ ! [SY563: $i] :
( ~ ( irel @ SV22 @ SY563 )
| ( p3 @ SY563 ) )
| ! [SY564: $i] :
( ~ ( irel @ SV22 @ SY564 )
| ( p2 @ SY564 ) ) )
= $true )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(181,plain,
! [SV15: $i,SV14: $i,SV10: $i] :
( ( ( irel @ SV10 @ SV14 )
= $false )
| ( ( ~ ( irel @ SV14 @ SV15 ) )
= $true )
| ( ( irel @ SV10 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(182,plain,
! [SV33: $i,SV11: $i] :
( ( ( ~ ( irel @ SV11 @ SV33 ) )
= $true )
| ( ( ~ ! [SY585: $i] :
( ~ ( irel @ SV33 @ SY585 )
| ( p10 @ SY585 ) )
| ! [SY586: $i] :
( ~ ( irel @ SV33 @ SY586 )
| ( p9 @ SY586 ) ) )
= $true )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(183,plain,
! [SV23: $i,SV11: $i] :
( ( ( irel @ SV11 @ SV23 )
= $false )
| ( ( ~ ! [SY565: $i] :
( ~ ( irel @ SV23 @ SY565 )
| ( p10 @ SY565 ) )
| ! [SY566: $i] :
( ~ ( irel @ SV23 @ SY566 )
| ( p9 @ SY566 ) ) )
= $true )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(184,plain,
! [SV34: $i,SV12: $i] :
( ( ( ~ ( irel @ SV12 @ SV34 ) )
= $true )
| ( ( ~ ! [SY587: $i] :
( ~ ( irel @ SV34 @ SY587 )
| ( p4 @ SY587 ) )
| ! [SY588: $i] :
( ~ ( irel @ SV34 @ SY588 )
| ( p3 @ SY588 ) ) )
= $true )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(185,plain,
! [SV24: $i,SV12: $i] :
( ( ( irel @ SV12 @ SV24 )
= $false )
| ( ( ~ ! [SY567: $i] :
( ~ ( irel @ SV24 @ SY567 )
| ( p4 @ SY567 ) )
| ! [SY568: $i] :
( ~ ( irel @ SV24 @ SY568 )
| ( p3 @ SY568 ) ) )
= $true )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(186,plain,
! [SV35: $i,SV13: $i] :
( ( ( ~ ( irel @ SV13 @ SV35 ) )
= $true )
| ( ( ~ ! [SY589: $i] :
( ~ ( irel @ SV35 @ SY589 )
| ( p6 @ SY589 ) )
| ! [SY590: $i] :
( ~ ( irel @ SV35 @ SY590 )
| ( p5 @ SY590 ) ) )
= $true )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(187,plain,
! [SV25: $i,SV13: $i] :
( ( ( irel @ SV13 @ SV25 )
= $false )
| ( ( ~ ! [SY569: $i] :
( ~ ( irel @ SV25 @ SY569 )
| ( p6 @ SY569 ) )
| ! [SY570: $i] :
( ~ ( irel @ SV25 @ SY570 )
| ( p5 @ SY570 ) ) )
= $true )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(188,plain,
! [SV26: $i,SV3: $i] :
( ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( ~ ! [SY571: $i] :
( ~ ( irel @ SV26 @ SY571 )
| ( p9 @ SY571 ) )
| ! [SY572: $i] :
( ~ ( irel @ SV26 @ SY572 )
| ( p8 @ SY572 ) ) )
= $true )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(189,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ! [SY551: $i] :
( ~ ( irel @ SV16 @ SY551 )
| ( p9 @ SY551 ) ) )
= $true )
| ( ( ! [SY552: $i] :
( ~ ( irel @ SV16 @ SY552 )
| ( p8 @ SY552 ) ) )
= $true )
| ( ( irel @ SV3 @ SV16 )
= $false )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(190,plain,
! [SV27: $i,SV4: $i] :
( ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( ~ ! [SY573: $i] :
( ~ ( irel @ SV27 @ SY573 )
| ( p1 @ SY573 ) )
| ! [SY574: $i] :
( ~ ( irel @ SV27 @ SY574 )
| ( p0 @ SY574 ) ) )
= $true )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(191,plain,
! [SV4: $i,SV17: $i] :
( ( ( ~ ! [SY553: $i] :
( ~ ( irel @ SV17 @ SY553 )
| ( p1 @ SY553 ) ) )
= $true )
| ( ( ! [SY554: $i] :
( ~ ( irel @ SV17 @ SY554 )
| ( p0 @ SY554 ) ) )
= $true )
| ( ( irel @ SV4 @ SV17 )
= $false )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(192,plain,
! [SV28: $i,SV5: $i] :
( ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( ~ ! [SY575: $i] :
( ~ ( irel @ SV28 @ SY575 )
| ( p5 @ SY575 ) )
| ! [SY576: $i] :
( ~ ( irel @ SV28 @ SY576 )
| ( p4 @ SY576 ) ) )
= $true )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(193,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ! [SY555: $i] :
( ~ ( irel @ SV18 @ SY555 )
| ( p5 @ SY555 ) ) )
= $true )
| ( ( ! [SY556: $i] :
( ~ ( irel @ SV18 @ SY556 )
| ( p4 @ SY556 ) ) )
= $true )
| ( ( irel @ SV5 @ SV18 )
= $false )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(194,plain,
! [SV29: $i,SV6: $i] :
( ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( ~ ! [SY577: $i] :
( ~ ( irel @ SV29 @ SY577 )
| ( p8 @ SY577 ) )
| ! [SY578: $i] :
( ~ ( irel @ SV29 @ SY578 )
| ( p7 @ SY578 ) ) )
= $true )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(195,plain,
! [SV6: $i,SV19: $i] :
( ( ( ~ ! [SY557: $i] :
( ~ ( irel @ SV19 @ SY557 )
| ( p8 @ SY557 ) ) )
= $true )
| ( ( ! [SY558: $i] :
( ~ ( irel @ SV19 @ SY558 )
| ( p7 @ SY558 ) ) )
= $true )
| ( ( irel @ SV6 @ SV19 )
= $false )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(196,plain,
! [SV30: $i,SV7: $i] :
( ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( ~ ! [SY579: $i] :
( ~ ( irel @ SV30 @ SY579 )
| ( p7 @ SY579 ) )
| ! [SY580: $i] :
( ~ ( irel @ SV30 @ SY580 )
| ( p6 @ SY580 ) ) )
= $true )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(197,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ! [SY559: $i] :
( ~ ( irel @ SV20 @ SY559 )
| ( p7 @ SY559 ) ) )
= $true )
| ( ( ! [SY560: $i] :
( ~ ( irel @ SV20 @ SY560 )
| ( p6 @ SY560 ) ) )
= $true )
| ( ( irel @ SV7 @ SV20 )
= $false )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(198,plain,
! [SV31: $i,SV8: $i] :
( ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( ~ ! [SY581: $i] :
( ~ ( irel @ SV31 @ SY581 )
| ( p2 @ SY581 ) )
| ! [SY582: $i] :
( ~ ( irel @ SV31 @ SY582 )
| ( p1 @ SY582 ) ) )
= $true )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(199,plain,
! [SV8: $i,SV21: $i] :
( ( ( ~ ! [SY561: $i] :
( ~ ( irel @ SV21 @ SY561 )
| ( p2 @ SY561 ) ) )
= $true )
| ( ( ! [SY562: $i] :
( ~ ( irel @ SV21 @ SY562 )
| ( p1 @ SY562 ) ) )
= $true )
| ( ( irel @ SV8 @ SV21 )
= $false )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(200,plain,
! [SV32: $i,SV9: $i] :
( ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( ~ ! [SY583: $i] :
( ~ ( irel @ SV32 @ SY583 )
| ( p3 @ SY583 ) )
| ! [SY584: $i] :
( ~ ( irel @ SV32 @ SY584 )
| ( p2 @ SY584 ) ) )
= $true )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(201,plain,
! [SV9: $i,SV22: $i] :
( ( ( ~ ! [SY563: $i] :
( ~ ( irel @ SV22 @ SY563 )
| ( p3 @ SY563 ) ) )
= $true )
| ( ( ! [SY564: $i] :
( ~ ( irel @ SV22 @ SY564 )
| ( p2 @ SY564 ) ) )
= $true )
| ( ( irel @ SV9 @ SV22 )
= $false )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(202,plain,
! [SV10: $i,SV15: $i,SV14: $i] :
( ( ( irel @ SV14 @ SV15 )
= $false )
| ( ( irel @ SV10 @ SV14 )
= $false )
| ( ( irel @ SV10 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(203,plain,
! [SV33: $i,SV11: $i] :
( ( ( irel @ SV11 @ SV33 )
= $false )
| ( ( ~ ! [SY585: $i] :
( ~ ( irel @ SV33 @ SY585 )
| ( p10 @ SY585 ) )
| ! [SY586: $i] :
( ~ ( irel @ SV33 @ SY586 )
| ( p9 @ SY586 ) ) )
= $true )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(204,plain,
! [SV11: $i,SV23: $i] :
( ( ( ~ ! [SY565: $i] :
( ~ ( irel @ SV23 @ SY565 )
| ( p10 @ SY565 ) ) )
= $true )
| ( ( ! [SY566: $i] :
( ~ ( irel @ SV23 @ SY566 )
| ( p9 @ SY566 ) ) )
= $true )
| ( ( irel @ SV11 @ SV23 )
= $false )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(205,plain,
! [SV34: $i,SV12: $i] :
( ( ( irel @ SV12 @ SV34 )
= $false )
| ( ( ~ ! [SY587: $i] :
( ~ ( irel @ SV34 @ SY587 )
| ( p4 @ SY587 ) )
| ! [SY588: $i] :
( ~ ( irel @ SV34 @ SY588 )
| ( p3 @ SY588 ) ) )
= $true )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(206,plain,
! [SV12: $i,SV24: $i] :
( ( ( ~ ! [SY567: $i] :
( ~ ( irel @ SV24 @ SY567 )
| ( p4 @ SY567 ) ) )
= $true )
| ( ( ! [SY568: $i] :
( ~ ( irel @ SV24 @ SY568 )
| ( p3 @ SY568 ) ) )
= $true )
| ( ( irel @ SV12 @ SV24 )
= $false )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(207,plain,
! [SV35: $i,SV13: $i] :
( ( ( irel @ SV13 @ SV35 )
= $false )
| ( ( ~ ! [SY589: $i] :
( ~ ( irel @ SV35 @ SY589 )
| ( p6 @ SY589 ) )
| ! [SY590: $i] :
( ~ ( irel @ SV35 @ SY590 )
| ( p5 @ SY590 ) ) )
= $true )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(208,plain,
! [SV13: $i,SV25: $i] :
( ( ( ~ ! [SY569: $i] :
( ~ ( irel @ SV25 @ SY569 )
| ( p6 @ SY569 ) ) )
= $true )
| ( ( ! [SY570: $i] :
( ~ ( irel @ SV25 @ SY570 )
| ( p5 @ SY570 ) ) )
= $true )
| ( ( irel @ SV13 @ SV25 )
= $false )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(209,plain,
! [SV3: $i,SV26: $i] :
( ( ( ~ ! [SY571: $i] :
( ~ ( irel @ SV26 @ SY571 )
| ( p9 @ SY571 ) ) )
= $true )
| ( ( ! [SY572: $i] :
( ~ ( irel @ SV26 @ SY572 )
| ( p8 @ SY572 ) ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(210,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY551: $i] :
( ~ ( irel @ SV16 @ SY551 )
| ( p9 @ SY551 ) ) )
= $false )
| ( ( ! [SY552: $i] :
( ~ ( irel @ SV16 @ SY552 )
| ( p8 @ SY552 ) ) )
= $true )
| ( ( irel @ SV3 @ SV16 )
= $false )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(211,plain,
! [SV4: $i,SV27: $i] :
( ( ( ~ ! [SY573: $i] :
( ~ ( irel @ SV27 @ SY573 )
| ( p1 @ SY573 ) ) )
= $true )
| ( ( ! [SY574: $i] :
( ~ ( irel @ SV27 @ SY574 )
| ( p0 @ SY574 ) ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(212,plain,
! [SV4: $i,SV17: $i] :
( ( ( ! [SY553: $i] :
( ~ ( irel @ SV17 @ SY553 )
| ( p1 @ SY553 ) ) )
= $false )
| ( ( ! [SY554: $i] :
( ~ ( irel @ SV17 @ SY554 )
| ( p0 @ SY554 ) ) )
= $true )
| ( ( irel @ SV4 @ SV17 )
= $false )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(213,plain,
! [SV5: $i,SV28: $i] :
( ( ( ~ ! [SY575: $i] :
( ~ ( irel @ SV28 @ SY575 )
| ( p5 @ SY575 ) ) )
= $true )
| ( ( ! [SY576: $i] :
( ~ ( irel @ SV28 @ SY576 )
| ( p4 @ SY576 ) ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(214,plain,
! [SV5: $i,SV18: $i] :
( ( ( ! [SY555: $i] :
( ~ ( irel @ SV18 @ SY555 )
| ( p5 @ SY555 ) ) )
= $false )
| ( ( ! [SY556: $i] :
( ~ ( irel @ SV18 @ SY556 )
| ( p4 @ SY556 ) ) )
= $true )
| ( ( irel @ SV5 @ SV18 )
= $false )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(215,plain,
! [SV6: $i,SV29: $i] :
( ( ( ~ ! [SY577: $i] :
( ~ ( irel @ SV29 @ SY577 )
| ( p8 @ SY577 ) ) )
= $true )
| ( ( ! [SY578: $i] :
( ~ ( irel @ SV29 @ SY578 )
| ( p7 @ SY578 ) ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(216,plain,
! [SV6: $i,SV19: $i] :
( ( ( ! [SY557: $i] :
( ~ ( irel @ SV19 @ SY557 )
| ( p8 @ SY557 ) ) )
= $false )
| ( ( ! [SY558: $i] :
( ~ ( irel @ SV19 @ SY558 )
| ( p7 @ SY558 ) ) )
= $true )
| ( ( irel @ SV6 @ SV19 )
= $false )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(217,plain,
! [SV7: $i,SV30: $i] :
( ( ( ~ ! [SY579: $i] :
( ~ ( irel @ SV30 @ SY579 )
| ( p7 @ SY579 ) ) )
= $true )
| ( ( ! [SY580: $i] :
( ~ ( irel @ SV30 @ SY580 )
| ( p6 @ SY580 ) ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(218,plain,
! [SV7: $i,SV20: $i] :
( ( ( ! [SY559: $i] :
( ~ ( irel @ SV20 @ SY559 )
| ( p7 @ SY559 ) ) )
= $false )
| ( ( ! [SY560: $i] :
( ~ ( irel @ SV20 @ SY560 )
| ( p6 @ SY560 ) ) )
= $true )
| ( ( irel @ SV7 @ SV20 )
= $false )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(219,plain,
! [SV8: $i,SV31: $i] :
( ( ( ~ ! [SY581: $i] :
( ~ ( irel @ SV31 @ SY581 )
| ( p2 @ SY581 ) ) )
= $true )
| ( ( ! [SY582: $i] :
( ~ ( irel @ SV31 @ SY582 )
| ( p1 @ SY582 ) ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(220,plain,
! [SV8: $i,SV21: $i] :
( ( ( ! [SY561: $i] :
( ~ ( irel @ SV21 @ SY561 )
| ( p2 @ SY561 ) ) )
= $false )
| ( ( ! [SY562: $i] :
( ~ ( irel @ SV21 @ SY562 )
| ( p1 @ SY562 ) ) )
= $true )
| ( ( irel @ SV8 @ SV21 )
= $false )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(221,plain,
! [SV9: $i,SV32: $i] :
( ( ( ~ ! [SY583: $i] :
( ~ ( irel @ SV32 @ SY583 )
| ( p3 @ SY583 ) ) )
= $true )
| ( ( ! [SY584: $i] :
( ~ ( irel @ SV32 @ SY584 )
| ( p2 @ SY584 ) ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(222,plain,
! [SV9: $i,SV22: $i] :
( ( ( ! [SY563: $i] :
( ~ ( irel @ SV22 @ SY563 )
| ( p3 @ SY563 ) ) )
= $false )
| ( ( ! [SY564: $i] :
( ~ ( irel @ SV22 @ SY564 )
| ( p2 @ SY564 ) ) )
= $true )
| ( ( irel @ SV9 @ SV22 )
= $false )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(223,plain,
! [SV11: $i,SV33: $i] :
( ( ( ~ ! [SY585: $i] :
( ~ ( irel @ SV33 @ SY585 )
| ( p10 @ SY585 ) ) )
= $true )
| ( ( ! [SY586: $i] :
( ~ ( irel @ SV33 @ SY586 )
| ( p9 @ SY586 ) ) )
= $true )
| ( ( irel @ SV11 @ SV33 )
= $false )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(224,plain,
! [SV11: $i,SV23: $i] :
( ( ( ! [SY565: $i] :
( ~ ( irel @ SV23 @ SY565 )
| ( p10 @ SY565 ) ) )
= $false )
| ( ( ! [SY566: $i] :
( ~ ( irel @ SV23 @ SY566 )
| ( p9 @ SY566 ) ) )
= $true )
| ( ( irel @ SV11 @ SV23 )
= $false )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(225,plain,
! [SV12: $i,SV34: $i] :
( ( ( ~ ! [SY587: $i] :
( ~ ( irel @ SV34 @ SY587 )
| ( p4 @ SY587 ) ) )
= $true )
| ( ( ! [SY588: $i] :
( ~ ( irel @ SV34 @ SY588 )
| ( p3 @ SY588 ) ) )
= $true )
| ( ( irel @ SV12 @ SV34 )
= $false )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(226,plain,
! [SV12: $i,SV24: $i] :
( ( ( ! [SY567: $i] :
( ~ ( irel @ SV24 @ SY567 )
| ( p4 @ SY567 ) ) )
= $false )
| ( ( ! [SY568: $i] :
( ~ ( irel @ SV24 @ SY568 )
| ( p3 @ SY568 ) ) )
= $true )
| ( ( irel @ SV12 @ SV24 )
= $false )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(227,plain,
! [SV13: $i,SV35: $i] :
( ( ( ~ ! [SY589: $i] :
( ~ ( irel @ SV35 @ SY589 )
| ( p6 @ SY589 ) ) )
= $true )
| ( ( ! [SY590: $i] :
( ~ ( irel @ SV35 @ SY590 )
| ( p5 @ SY590 ) ) )
= $true )
| ( ( irel @ SV13 @ SV35 )
= $false )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(228,plain,
! [SV13: $i,SV25: $i] :
( ( ( ! [SY569: $i] :
( ~ ( irel @ SV25 @ SY569 )
| ( p6 @ SY569 ) ) )
= $false )
| ( ( ! [SY570: $i] :
( ~ ( irel @ SV25 @ SY570 )
| ( p5 @ SY570 ) ) )
= $true )
| ( ( irel @ SV13 @ SV25 )
= $false )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(229,plain,
! [SV3: $i,SV26: $i] :
( ( ( ! [SY571: $i] :
( ~ ( irel @ SV26 @ SY571 )
| ( p9 @ SY571 ) ) )
= $false )
| ( ( ! [SY572: $i] :
( ~ ( irel @ SV26 @ SY572 )
| ( p8 @ SY572 ) ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(230,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ ( sK12_SY551 @ SV3 @ SV16 ) )
| ( p9 @ ( sK12_SY551 @ SV3 @ SV16 ) ) )
= $false )
| ( ( ! [SY552: $i] :
( ~ ( irel @ SV16 @ SY552 )
| ( p8 @ SY552 ) ) )
= $true )
| ( ( irel @ SV3 @ SV16 )
= $false )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[210]) ).
thf(231,plain,
! [SV4: $i,SV27: $i] :
( ( ( ! [SY573: $i] :
( ~ ( irel @ SV27 @ SY573 )
| ( p1 @ SY573 ) ) )
= $false )
| ( ( ! [SY574: $i] :
( ~ ( irel @ SV27 @ SY574 )
| ( p0 @ SY574 ) ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(232,plain,
! [SV4: $i,SV17: $i] :
( ( ( ~ ( irel @ SV17 @ ( sK13_SY553 @ SV4 @ SV17 ) )
| ( p1 @ ( sK13_SY553 @ SV4 @ SV17 ) ) )
= $false )
| ( ( ! [SY554: $i] :
( ~ ( irel @ SV17 @ SY554 )
| ( p0 @ SY554 ) ) )
= $true )
| ( ( irel @ SV4 @ SV17 )
= $false )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[212]) ).
thf(233,plain,
! [SV5: $i,SV28: $i] :
( ( ( ! [SY575: $i] :
( ~ ( irel @ SV28 @ SY575 )
| ( p5 @ SY575 ) ) )
= $false )
| ( ( ! [SY576: $i] :
( ~ ( irel @ SV28 @ SY576 )
| ( p4 @ SY576 ) ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(234,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( irel @ SV18 @ ( sK14_SY555 @ SV5 @ SV18 ) )
| ( p5 @ ( sK14_SY555 @ SV5 @ SV18 ) ) )
= $false )
| ( ( ! [SY556: $i] :
( ~ ( irel @ SV18 @ SY556 )
| ( p4 @ SY556 ) ) )
= $true )
| ( ( irel @ SV5 @ SV18 )
= $false )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[214]) ).
thf(235,plain,
! [SV6: $i,SV29: $i] :
( ( ( ! [SY577: $i] :
( ~ ( irel @ SV29 @ SY577 )
| ( p8 @ SY577 ) ) )
= $false )
| ( ( ! [SY578: $i] :
( ~ ( irel @ SV29 @ SY578 )
| ( p7 @ SY578 ) ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(236,plain,
! [SV6: $i,SV19: $i] :
( ( ( ~ ( irel @ SV19 @ ( sK15_SY557 @ SV6 @ SV19 ) )
| ( p8 @ ( sK15_SY557 @ SV6 @ SV19 ) ) )
= $false )
| ( ( ! [SY558: $i] :
( ~ ( irel @ SV19 @ SY558 )
| ( p7 @ SY558 ) ) )
= $true )
| ( ( irel @ SV6 @ SV19 )
= $false )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[216]) ).
thf(237,plain,
! [SV7: $i,SV30: $i] :
( ( ( ! [SY579: $i] :
( ~ ( irel @ SV30 @ SY579 )
| ( p7 @ SY579 ) ) )
= $false )
| ( ( ! [SY580: $i] :
( ~ ( irel @ SV30 @ SY580 )
| ( p6 @ SY580 ) ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(238,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ ( sK16_SY559 @ SV7 @ SV20 ) )
| ( p7 @ ( sK16_SY559 @ SV7 @ SV20 ) ) )
= $false )
| ( ( ! [SY560: $i] :
( ~ ( irel @ SV20 @ SY560 )
| ( p6 @ SY560 ) ) )
= $true )
| ( ( irel @ SV7 @ SV20 )
= $false )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[218]) ).
thf(239,plain,
! [SV8: $i,SV31: $i] :
( ( ( ! [SY581: $i] :
( ~ ( irel @ SV31 @ SY581 )
| ( p2 @ SY581 ) ) )
= $false )
| ( ( ! [SY582: $i] :
( ~ ( irel @ SV31 @ SY582 )
| ( p1 @ SY582 ) ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(240,plain,
! [SV8: $i,SV21: $i] :
( ( ( ~ ( irel @ SV21 @ ( sK17_SY561 @ SV8 @ SV21 ) )
| ( p2 @ ( sK17_SY561 @ SV8 @ SV21 ) ) )
= $false )
| ( ( ! [SY562: $i] :
( ~ ( irel @ SV21 @ SY562 )
| ( p1 @ SY562 ) ) )
= $true )
| ( ( irel @ SV8 @ SV21 )
= $false )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[220]) ).
thf(241,plain,
! [SV9: $i,SV32: $i] :
( ( ( ! [SY583: $i] :
( ~ ( irel @ SV32 @ SY583 )
| ( p3 @ SY583 ) ) )
= $false )
| ( ( ! [SY584: $i] :
( ~ ( irel @ SV32 @ SY584 )
| ( p2 @ SY584 ) ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(242,plain,
! [SV9: $i,SV22: $i] :
( ( ( ~ ( irel @ SV22 @ ( sK18_SY563 @ SV9 @ SV22 ) )
| ( p3 @ ( sK18_SY563 @ SV9 @ SV22 ) ) )
= $false )
| ( ( ! [SY564: $i] :
( ~ ( irel @ SV22 @ SY564 )
| ( p2 @ SY564 ) ) )
= $true )
| ( ( irel @ SV9 @ SV22 )
= $false )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[222]) ).
thf(243,plain,
! [SV11: $i,SV33: $i] :
( ( ( ! [SY585: $i] :
( ~ ( irel @ SV33 @ SY585 )
| ( p10 @ SY585 ) ) )
= $false )
| ( ( ! [SY586: $i] :
( ~ ( irel @ SV33 @ SY586 )
| ( p9 @ SY586 ) ) )
= $true )
| ( ( irel @ SV11 @ SV33 )
= $false )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(244,plain,
! [SV11: $i,SV23: $i] :
( ( ( ~ ( irel @ SV23 @ ( sK19_SY565 @ SV11 @ SV23 ) )
| ( p10 @ ( sK19_SY565 @ SV11 @ SV23 ) ) )
= $false )
| ( ( ! [SY566: $i] :
( ~ ( irel @ SV23 @ SY566 )
| ( p9 @ SY566 ) ) )
= $true )
| ( ( irel @ SV11 @ SV23 )
= $false )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[224]) ).
thf(245,plain,
! [SV12: $i,SV34: $i] :
( ( ( ! [SY587: $i] :
( ~ ( irel @ SV34 @ SY587 )
| ( p4 @ SY587 ) ) )
= $false )
| ( ( ! [SY588: $i] :
( ~ ( irel @ SV34 @ SY588 )
| ( p3 @ SY588 ) ) )
= $true )
| ( ( irel @ SV12 @ SV34 )
= $false )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(246,plain,
! [SV12: $i,SV24: $i] :
( ( ( ~ ( irel @ SV24 @ ( sK20_SY567 @ SV12 @ SV24 ) )
| ( p4 @ ( sK20_SY567 @ SV12 @ SV24 ) ) )
= $false )
| ( ( ! [SY568: $i] :
( ~ ( irel @ SV24 @ SY568 )
| ( p3 @ SY568 ) ) )
= $true )
| ( ( irel @ SV12 @ SV24 )
= $false )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[226]) ).
thf(247,plain,
! [SV13: $i,SV35: $i] :
( ( ( ! [SY589: $i] :
( ~ ( irel @ SV35 @ SY589 )
| ( p6 @ SY589 ) ) )
= $false )
| ( ( ! [SY590: $i] :
( ~ ( irel @ SV35 @ SY590 )
| ( p5 @ SY590 ) ) )
= $true )
| ( ( irel @ SV13 @ SV35 )
= $false )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(248,plain,
! [SV13: $i,SV25: $i] :
( ( ( ~ ( irel @ SV25 @ ( sK21_SY569 @ SV13 @ SV25 ) )
| ( p6 @ ( sK21_SY569 @ SV13 @ SV25 ) ) )
= $false )
| ( ( ! [SY570: $i] :
( ~ ( irel @ SV25 @ SY570 )
| ( p5 @ SY570 ) ) )
= $true )
| ( ( irel @ SV13 @ SV25 )
= $false )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[228]) ).
thf(249,plain,
! [SV3: $i,SV26: $i] :
( ( ( ~ ( irel @ SV26 @ ( sK22_SY571 @ SV3 @ SV26 ) )
| ( p9 @ ( sK22_SY571 @ SV3 @ SV26 ) ) )
= $false )
| ( ( ! [SY572: $i] :
( ~ ( irel @ SV26 @ SY572 )
| ( p8 @ SY572 ) ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[229]) ).
thf(250,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ ( sK12_SY551 @ SV3 @ SV16 ) ) )
= $false )
| ( ( ! [SY552: $i] :
( ~ ( irel @ SV16 @ SY552 )
| ( p8 @ SY552 ) ) )
= $true )
| ( ( irel @ SV3 @ SV16 )
= $false )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(251,plain,
! [SV16: $i,SV3: $i] :
( ( ( p9 @ ( sK12_SY551 @ SV3 @ SV16 ) )
= $false )
| ( ( ! [SY552: $i] :
( ~ ( irel @ SV16 @ SY552 )
| ( p8 @ SY552 ) ) )
= $true )
| ( ( irel @ SV3 @ SV16 )
= $false )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(252,plain,
! [SV4: $i,SV27: $i] :
( ( ( ~ ( irel @ SV27 @ ( sK23_SY573 @ SV4 @ SV27 ) )
| ( p1 @ ( sK23_SY573 @ SV4 @ SV27 ) ) )
= $false )
| ( ( ! [SY574: $i] :
( ~ ( irel @ SV27 @ SY574 )
| ( p0 @ SY574 ) ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[231]) ).
thf(253,plain,
! [SV4: $i,SV17: $i] :
( ( ( ~ ( irel @ SV17 @ ( sK13_SY553 @ SV4 @ SV17 ) ) )
= $false )
| ( ( ! [SY554: $i] :
( ~ ( irel @ SV17 @ SY554 )
| ( p0 @ SY554 ) ) )
= $true )
| ( ( irel @ SV4 @ SV17 )
= $false )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(254,plain,
! [SV17: $i,SV4: $i] :
( ( ( p1 @ ( sK13_SY553 @ SV4 @ SV17 ) )
= $false )
| ( ( ! [SY554: $i] :
( ~ ( irel @ SV17 @ SY554 )
| ( p0 @ SY554 ) ) )
= $true )
| ( ( irel @ SV4 @ SV17 )
= $false )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(255,plain,
! [SV5: $i,SV28: $i] :
( ( ( ~ ( irel @ SV28 @ ( sK24_SY575 @ SV5 @ SV28 ) )
| ( p5 @ ( sK24_SY575 @ SV5 @ SV28 ) ) )
= $false )
| ( ( ! [SY576: $i] :
( ~ ( irel @ SV28 @ SY576 )
| ( p4 @ SY576 ) ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[233]) ).
thf(256,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( irel @ SV18 @ ( sK14_SY555 @ SV5 @ SV18 ) ) )
= $false )
| ( ( ! [SY556: $i] :
( ~ ( irel @ SV18 @ SY556 )
| ( p4 @ SY556 ) ) )
= $true )
| ( ( irel @ SV5 @ SV18 )
= $false )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(257,plain,
! [SV18: $i,SV5: $i] :
( ( ( p5 @ ( sK14_SY555 @ SV5 @ SV18 ) )
= $false )
| ( ( ! [SY556: $i] :
( ~ ( irel @ SV18 @ SY556 )
| ( p4 @ SY556 ) ) )
= $true )
| ( ( irel @ SV5 @ SV18 )
= $false )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(258,plain,
! [SV6: $i,SV29: $i] :
( ( ( ~ ( irel @ SV29 @ ( sK25_SY577 @ SV6 @ SV29 ) )
| ( p8 @ ( sK25_SY577 @ SV6 @ SV29 ) ) )
= $false )
| ( ( ! [SY578: $i] :
( ~ ( irel @ SV29 @ SY578 )
| ( p7 @ SY578 ) ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[235]) ).
thf(259,plain,
! [SV6: $i,SV19: $i] :
( ( ( ~ ( irel @ SV19 @ ( sK15_SY557 @ SV6 @ SV19 ) ) )
= $false )
| ( ( ! [SY558: $i] :
( ~ ( irel @ SV19 @ SY558 )
| ( p7 @ SY558 ) ) )
= $true )
| ( ( irel @ SV6 @ SV19 )
= $false )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(260,plain,
! [SV19: $i,SV6: $i] :
( ( ( p8 @ ( sK15_SY557 @ SV6 @ SV19 ) )
= $false )
| ( ( ! [SY558: $i] :
( ~ ( irel @ SV19 @ SY558 )
| ( p7 @ SY558 ) ) )
= $true )
| ( ( irel @ SV6 @ SV19 )
= $false )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(261,plain,
! [SV7: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ ( sK26_SY579 @ SV7 @ SV30 ) )
| ( p7 @ ( sK26_SY579 @ SV7 @ SV30 ) ) )
= $false )
| ( ( ! [SY580: $i] :
( ~ ( irel @ SV30 @ SY580 )
| ( p6 @ SY580 ) ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[237]) ).
thf(262,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ ( sK16_SY559 @ SV7 @ SV20 ) ) )
= $false )
| ( ( ! [SY560: $i] :
( ~ ( irel @ SV20 @ SY560 )
| ( p6 @ SY560 ) ) )
= $true )
| ( ( irel @ SV7 @ SV20 )
= $false )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(263,plain,
! [SV20: $i,SV7: $i] :
( ( ( p7 @ ( sK16_SY559 @ SV7 @ SV20 ) )
= $false )
| ( ( ! [SY560: $i] :
( ~ ( irel @ SV20 @ SY560 )
| ( p6 @ SY560 ) ) )
= $true )
| ( ( irel @ SV7 @ SV20 )
= $false )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(264,plain,
! [SV8: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ ( sK27_SY581 @ SV8 @ SV31 ) )
| ( p2 @ ( sK27_SY581 @ SV8 @ SV31 ) ) )
= $false )
| ( ( ! [SY582: $i] :
( ~ ( irel @ SV31 @ SY582 )
| ( p1 @ SY582 ) ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[239]) ).
thf(265,plain,
! [SV8: $i,SV21: $i] :
( ( ( ~ ( irel @ SV21 @ ( sK17_SY561 @ SV8 @ SV21 ) ) )
= $false )
| ( ( ! [SY562: $i] :
( ~ ( irel @ SV21 @ SY562 )
| ( p1 @ SY562 ) ) )
= $true )
| ( ( irel @ SV8 @ SV21 )
= $false )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(266,plain,
! [SV21: $i,SV8: $i] :
( ( ( p2 @ ( sK17_SY561 @ SV8 @ SV21 ) )
= $false )
| ( ( ! [SY562: $i] :
( ~ ( irel @ SV21 @ SY562 )
| ( p1 @ SY562 ) ) )
= $true )
| ( ( irel @ SV8 @ SV21 )
= $false )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(267,plain,
! [SV9: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ ( sK28_SY583 @ SV9 @ SV32 ) )
| ( p3 @ ( sK28_SY583 @ SV9 @ SV32 ) ) )
= $false )
| ( ( ! [SY584: $i] :
( ~ ( irel @ SV32 @ SY584 )
| ( p2 @ SY584 ) ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[241]) ).
thf(268,plain,
! [SV9: $i,SV22: $i] :
( ( ( ~ ( irel @ SV22 @ ( sK18_SY563 @ SV9 @ SV22 ) ) )
= $false )
| ( ( ! [SY564: $i] :
( ~ ( irel @ SV22 @ SY564 )
| ( p2 @ SY564 ) ) )
= $true )
| ( ( irel @ SV9 @ SV22 )
= $false )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(269,plain,
! [SV22: $i,SV9: $i] :
( ( ( p3 @ ( sK18_SY563 @ SV9 @ SV22 ) )
= $false )
| ( ( ! [SY564: $i] :
( ~ ( irel @ SV22 @ SY564 )
| ( p2 @ SY564 ) ) )
= $true )
| ( ( irel @ SV9 @ SV22 )
= $false )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(270,plain,
! [SV11: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ ( sK29_SY585 @ SV11 @ SV33 ) )
| ( p10 @ ( sK29_SY585 @ SV11 @ SV33 ) ) )
= $false )
| ( ( ! [SY586: $i] :
( ~ ( irel @ SV33 @ SY586 )
| ( p9 @ SY586 ) ) )
= $true )
| ( ( irel @ SV11 @ SV33 )
= $false )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[243]) ).
thf(271,plain,
! [SV11: $i,SV23: $i] :
( ( ( ~ ( irel @ SV23 @ ( sK19_SY565 @ SV11 @ SV23 ) ) )
= $false )
| ( ( ! [SY566: $i] :
( ~ ( irel @ SV23 @ SY566 )
| ( p9 @ SY566 ) ) )
= $true )
| ( ( irel @ SV11 @ SV23 )
= $false )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(272,plain,
! [SV23: $i,SV11: $i] :
( ( ( p10 @ ( sK19_SY565 @ SV11 @ SV23 ) )
= $false )
| ( ( ! [SY566: $i] :
( ~ ( irel @ SV23 @ SY566 )
| ( p9 @ SY566 ) ) )
= $true )
| ( ( irel @ SV11 @ SV23 )
= $false )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(273,plain,
! [SV12: $i,SV34: $i] :
( ( ( ~ ( irel @ SV34 @ ( sK30_SY587 @ SV12 @ SV34 ) )
| ( p4 @ ( sK30_SY587 @ SV12 @ SV34 ) ) )
= $false )
| ( ( ! [SY588: $i] :
( ~ ( irel @ SV34 @ SY588 )
| ( p3 @ SY588 ) ) )
= $true )
| ( ( irel @ SV12 @ SV34 )
= $false )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[245]) ).
thf(274,plain,
! [SV12: $i,SV24: $i] :
( ( ( ~ ( irel @ SV24 @ ( sK20_SY567 @ SV12 @ SV24 ) ) )
= $false )
| ( ( ! [SY568: $i] :
( ~ ( irel @ SV24 @ SY568 )
| ( p3 @ SY568 ) ) )
= $true )
| ( ( irel @ SV12 @ SV24 )
= $false )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(275,plain,
! [SV24: $i,SV12: $i] :
( ( ( p4 @ ( sK20_SY567 @ SV12 @ SV24 ) )
= $false )
| ( ( ! [SY568: $i] :
( ~ ( irel @ SV24 @ SY568 )
| ( p3 @ SY568 ) ) )
= $true )
| ( ( irel @ SV12 @ SV24 )
= $false )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(276,plain,
! [SV13: $i,SV35: $i] :
( ( ( ~ ( irel @ SV35 @ ( sK31_SY589 @ SV13 @ SV35 ) )
| ( p6 @ ( sK31_SY589 @ SV13 @ SV35 ) ) )
= $false )
| ( ( ! [SY590: $i] :
( ~ ( irel @ SV35 @ SY590 )
| ( p5 @ SY590 ) ) )
= $true )
| ( ( irel @ SV13 @ SV35 )
= $false )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[247]) ).
thf(277,plain,
! [SV13: $i,SV25: $i] :
( ( ( ~ ( irel @ SV25 @ ( sK21_SY569 @ SV13 @ SV25 ) ) )
= $false )
| ( ( ! [SY570: $i] :
( ~ ( irel @ SV25 @ SY570 )
| ( p5 @ SY570 ) ) )
= $true )
| ( ( irel @ SV13 @ SV25 )
= $false )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(278,plain,
! [SV25: $i,SV13: $i] :
( ( ( p6 @ ( sK21_SY569 @ SV13 @ SV25 ) )
= $false )
| ( ( ! [SY570: $i] :
( ~ ( irel @ SV25 @ SY570 )
| ( p5 @ SY570 ) ) )
= $true )
| ( ( irel @ SV13 @ SV25 )
= $false )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(279,plain,
! [SV3: $i,SV26: $i] :
( ( ( ~ ( irel @ SV26 @ ( sK22_SY571 @ SV3 @ SV26 ) ) )
= $false )
| ( ( ! [SY572: $i] :
( ~ ( irel @ SV26 @ SY572 )
| ( p8 @ SY572 ) ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(280,plain,
! [SV26: $i,SV3: $i] :
( ( ( p9 @ ( sK22_SY571 @ SV3 @ SV26 ) )
= $false )
| ( ( ! [SY572: $i] :
( ~ ( irel @ SV26 @ SY572 )
| ( p8 @ SY572 ) ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(281,plain,
! [SV3: $i,SV16: $i] :
( ( ( irel @ SV16 @ ( sK12_SY551 @ SV3 @ SV16 ) )
= $true )
| ( ( ! [SY552: $i] :
( ~ ( irel @ SV16 @ SY552 )
| ( p8 @ SY552 ) ) )
= $true )
| ( ( irel @ SV3 @ SV16 )
= $false )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(282,plain,
! [SV3: $i,SV36: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ SV36 )
| ( p8 @ SV36 ) )
= $true )
| ( ( p9 @ ( sK12_SY551 @ SV3 @ SV16 ) )
= $false )
| ( ( irel @ SV3 @ SV16 )
= $false )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(283,plain,
! [SV4: $i,SV27: $i] :
( ( ( ~ ( irel @ SV27 @ ( sK23_SY573 @ SV4 @ SV27 ) ) )
= $false )
| ( ( ! [SY574: $i] :
( ~ ( irel @ SV27 @ SY574 )
| ( p0 @ SY574 ) ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(284,plain,
! [SV27: $i,SV4: $i] :
( ( ( p1 @ ( sK23_SY573 @ SV4 @ SV27 ) )
= $false )
| ( ( ! [SY574: $i] :
( ~ ( irel @ SV27 @ SY574 )
| ( p0 @ SY574 ) ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(285,plain,
! [SV4: $i,SV17: $i] :
( ( ( irel @ SV17 @ ( sK13_SY553 @ SV4 @ SV17 ) )
= $true )
| ( ( ! [SY554: $i] :
( ~ ( irel @ SV17 @ SY554 )
| ( p0 @ SY554 ) ) )
= $true )
| ( ( irel @ SV4 @ SV17 )
= $false )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(286,plain,
! [SV4: $i,SV37: $i,SV17: $i] :
( ( ( ~ ( irel @ SV17 @ SV37 )
| ( p0 @ SV37 ) )
= $true )
| ( ( p1 @ ( sK13_SY553 @ SV4 @ SV17 ) )
= $false )
| ( ( irel @ SV4 @ SV17 )
= $false )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(287,plain,
! [SV5: $i,SV28: $i] :
( ( ( ~ ( irel @ SV28 @ ( sK24_SY575 @ SV5 @ SV28 ) ) )
= $false )
| ( ( ! [SY576: $i] :
( ~ ( irel @ SV28 @ SY576 )
| ( p4 @ SY576 ) ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(288,plain,
! [SV28: $i,SV5: $i] :
( ( ( p5 @ ( sK24_SY575 @ SV5 @ SV28 ) )
= $false )
| ( ( ! [SY576: $i] :
( ~ ( irel @ SV28 @ SY576 )
| ( p4 @ SY576 ) ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(289,plain,
! [SV5: $i,SV18: $i] :
( ( ( irel @ SV18 @ ( sK14_SY555 @ SV5 @ SV18 ) )
= $true )
| ( ( ! [SY556: $i] :
( ~ ( irel @ SV18 @ SY556 )
| ( p4 @ SY556 ) ) )
= $true )
| ( ( irel @ SV5 @ SV18 )
= $false )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(290,plain,
! [SV5: $i,SV38: $i,SV18: $i] :
( ( ( ~ ( irel @ SV18 @ SV38 )
| ( p4 @ SV38 ) )
= $true )
| ( ( p5 @ ( sK14_SY555 @ SV5 @ SV18 ) )
= $false )
| ( ( irel @ SV5 @ SV18 )
= $false )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(291,plain,
! [SV6: $i,SV29: $i] :
( ( ( ~ ( irel @ SV29 @ ( sK25_SY577 @ SV6 @ SV29 ) ) )
= $false )
| ( ( ! [SY578: $i] :
( ~ ( irel @ SV29 @ SY578 )
| ( p7 @ SY578 ) ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(292,plain,
! [SV29: $i,SV6: $i] :
( ( ( p8 @ ( sK25_SY577 @ SV6 @ SV29 ) )
= $false )
| ( ( ! [SY578: $i] :
( ~ ( irel @ SV29 @ SY578 )
| ( p7 @ SY578 ) ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(293,plain,
! [SV6: $i,SV19: $i] :
( ( ( irel @ SV19 @ ( sK15_SY557 @ SV6 @ SV19 ) )
= $true )
| ( ( ! [SY558: $i] :
( ~ ( irel @ SV19 @ SY558 )
| ( p7 @ SY558 ) ) )
= $true )
| ( ( irel @ SV6 @ SV19 )
= $false )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(294,plain,
! [SV6: $i,SV39: $i,SV19: $i] :
( ( ( ~ ( irel @ SV19 @ SV39 )
| ( p7 @ SV39 ) )
= $true )
| ( ( p8 @ ( sK15_SY557 @ SV6 @ SV19 ) )
= $false )
| ( ( irel @ SV6 @ SV19 )
= $false )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(295,plain,
! [SV7: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ ( sK26_SY579 @ SV7 @ SV30 ) ) )
= $false )
| ( ( ! [SY580: $i] :
( ~ ( irel @ SV30 @ SY580 )
| ( p6 @ SY580 ) ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(296,plain,
! [SV30: $i,SV7: $i] :
( ( ( p7 @ ( sK26_SY579 @ SV7 @ SV30 ) )
= $false )
| ( ( ! [SY580: $i] :
( ~ ( irel @ SV30 @ SY580 )
| ( p6 @ SY580 ) ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(297,plain,
! [SV7: $i,SV20: $i] :
( ( ( irel @ SV20 @ ( sK16_SY559 @ SV7 @ SV20 ) )
= $true )
| ( ( ! [SY560: $i] :
( ~ ( irel @ SV20 @ SY560 )
| ( p6 @ SY560 ) ) )
= $true )
| ( ( irel @ SV7 @ SV20 )
= $false )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(298,plain,
! [SV7: $i,SV40: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV40 )
| ( p6 @ SV40 ) )
= $true )
| ( ( p7 @ ( sK16_SY559 @ SV7 @ SV20 ) )
= $false )
| ( ( irel @ SV7 @ SV20 )
= $false )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(299,plain,
! [SV8: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ ( sK27_SY581 @ SV8 @ SV31 ) ) )
= $false )
| ( ( ! [SY582: $i] :
( ~ ( irel @ SV31 @ SY582 )
| ( p1 @ SY582 ) ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(300,plain,
! [SV31: $i,SV8: $i] :
( ( ( p2 @ ( sK27_SY581 @ SV8 @ SV31 ) )
= $false )
| ( ( ! [SY582: $i] :
( ~ ( irel @ SV31 @ SY582 )
| ( p1 @ SY582 ) ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(301,plain,
! [SV8: $i,SV21: $i] :
( ( ( irel @ SV21 @ ( sK17_SY561 @ SV8 @ SV21 ) )
= $true )
| ( ( ! [SY562: $i] :
( ~ ( irel @ SV21 @ SY562 )
| ( p1 @ SY562 ) ) )
= $true )
| ( ( irel @ SV8 @ SV21 )
= $false )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(302,plain,
! [SV8: $i,SV41: $i,SV21: $i] :
( ( ( ~ ( irel @ SV21 @ SV41 )
| ( p1 @ SV41 ) )
= $true )
| ( ( p2 @ ( sK17_SY561 @ SV8 @ SV21 ) )
= $false )
| ( ( irel @ SV8 @ SV21 )
= $false )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(303,plain,
! [SV9: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ ( sK28_SY583 @ SV9 @ SV32 ) ) )
= $false )
| ( ( ! [SY584: $i] :
( ~ ( irel @ SV32 @ SY584 )
| ( p2 @ SY584 ) ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(304,plain,
! [SV32: $i,SV9: $i] :
( ( ( p3 @ ( sK28_SY583 @ SV9 @ SV32 ) )
= $false )
| ( ( ! [SY584: $i] :
( ~ ( irel @ SV32 @ SY584 )
| ( p2 @ SY584 ) ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(305,plain,
! [SV9: $i,SV22: $i] :
( ( ( irel @ SV22 @ ( sK18_SY563 @ SV9 @ SV22 ) )
= $true )
| ( ( ! [SY564: $i] :
( ~ ( irel @ SV22 @ SY564 )
| ( p2 @ SY564 ) ) )
= $true )
| ( ( irel @ SV9 @ SV22 )
= $false )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(306,plain,
! [SV9: $i,SV42: $i,SV22: $i] :
( ( ( ~ ( irel @ SV22 @ SV42 )
| ( p2 @ SV42 ) )
= $true )
| ( ( p3 @ ( sK18_SY563 @ SV9 @ SV22 ) )
= $false )
| ( ( irel @ SV9 @ SV22 )
= $false )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(307,plain,
! [SV11: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ ( sK29_SY585 @ SV11 @ SV33 ) ) )
= $false )
| ( ( ! [SY586: $i] :
( ~ ( irel @ SV33 @ SY586 )
| ( p9 @ SY586 ) ) )
= $true )
| ( ( irel @ SV11 @ SV33 )
= $false )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(308,plain,
! [SV33: $i,SV11: $i] :
( ( ( p10 @ ( sK29_SY585 @ SV11 @ SV33 ) )
= $false )
| ( ( ! [SY586: $i] :
( ~ ( irel @ SV33 @ SY586 )
| ( p9 @ SY586 ) ) )
= $true )
| ( ( irel @ SV11 @ SV33 )
= $false )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(309,plain,
! [SV11: $i,SV23: $i] :
( ( ( irel @ SV23 @ ( sK19_SY565 @ SV11 @ SV23 ) )
= $true )
| ( ( ! [SY566: $i] :
( ~ ( irel @ SV23 @ SY566 )
| ( p9 @ SY566 ) ) )
= $true )
| ( ( irel @ SV11 @ SV23 )
= $false )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(310,plain,
! [SV11: $i,SV43: $i,SV23: $i] :
( ( ( ~ ( irel @ SV23 @ SV43 )
| ( p9 @ SV43 ) )
= $true )
| ( ( p10 @ ( sK19_SY565 @ SV11 @ SV23 ) )
= $false )
| ( ( irel @ SV11 @ SV23 )
= $false )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(311,plain,
! [SV12: $i,SV34: $i] :
( ( ( ~ ( irel @ SV34 @ ( sK30_SY587 @ SV12 @ SV34 ) ) )
= $false )
| ( ( ! [SY588: $i] :
( ~ ( irel @ SV34 @ SY588 )
| ( p3 @ SY588 ) ) )
= $true )
| ( ( irel @ SV12 @ SV34 )
= $false )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(312,plain,
! [SV34: $i,SV12: $i] :
( ( ( p4 @ ( sK30_SY587 @ SV12 @ SV34 ) )
= $false )
| ( ( ! [SY588: $i] :
( ~ ( irel @ SV34 @ SY588 )
| ( p3 @ SY588 ) ) )
= $true )
| ( ( irel @ SV12 @ SV34 )
= $false )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(313,plain,
! [SV12: $i,SV24: $i] :
( ( ( irel @ SV24 @ ( sK20_SY567 @ SV12 @ SV24 ) )
= $true )
| ( ( ! [SY568: $i] :
( ~ ( irel @ SV24 @ SY568 )
| ( p3 @ SY568 ) ) )
= $true )
| ( ( irel @ SV12 @ SV24 )
= $false )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(314,plain,
! [SV12: $i,SV44: $i,SV24: $i] :
( ( ( ~ ( irel @ SV24 @ SV44 )
| ( p3 @ SV44 ) )
= $true )
| ( ( p4 @ ( sK20_SY567 @ SV12 @ SV24 ) )
= $false )
| ( ( irel @ SV12 @ SV24 )
= $false )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(315,plain,
! [SV13: $i,SV35: $i] :
( ( ( ~ ( irel @ SV35 @ ( sK31_SY589 @ SV13 @ SV35 ) ) )
= $false )
| ( ( ! [SY590: $i] :
( ~ ( irel @ SV35 @ SY590 )
| ( p5 @ SY590 ) ) )
= $true )
| ( ( irel @ SV13 @ SV35 )
= $false )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(316,plain,
! [SV35: $i,SV13: $i] :
( ( ( p6 @ ( sK31_SY589 @ SV13 @ SV35 ) )
= $false )
| ( ( ! [SY590: $i] :
( ~ ( irel @ SV35 @ SY590 )
| ( p5 @ SY590 ) ) )
= $true )
| ( ( irel @ SV13 @ SV35 )
= $false )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(317,plain,
! [SV13: $i,SV25: $i] :
( ( ( irel @ SV25 @ ( sK21_SY569 @ SV13 @ SV25 ) )
= $true )
| ( ( ! [SY570: $i] :
( ~ ( irel @ SV25 @ SY570 )
| ( p5 @ SY570 ) ) )
= $true )
| ( ( irel @ SV13 @ SV25 )
= $false )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(318,plain,
! [SV13: $i,SV45: $i,SV25: $i] :
( ( ( ~ ( irel @ SV25 @ SV45 )
| ( p5 @ SV45 ) )
= $true )
| ( ( p6 @ ( sK21_SY569 @ SV13 @ SV25 ) )
= $false )
| ( ( irel @ SV13 @ SV25 )
= $false )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(319,plain,
! [SV3: $i,SV26: $i] :
( ( ( irel @ SV26 @ ( sK22_SY571 @ SV3 @ SV26 ) )
= $true )
| ( ( ! [SY572: $i] :
( ~ ( irel @ SV26 @ SY572 )
| ( p8 @ SY572 ) ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(320,plain,
! [SV3: $i,SV46: $i,SV26: $i] :
( ( ( ~ ( irel @ SV26 @ SV46 )
| ( p8 @ SV46 ) )
= $true )
| ( ( p9 @ ( sK22_SY571 @ SV3 @ SV26 ) )
= $false )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(321,plain,
! [SV3: $i,SV47: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ SV47 )
| ( p8 @ SV47 ) )
= $true )
| ( ( irel @ SV16 @ ( sK12_SY551 @ SV3 @ SV16 ) )
= $true )
| ( ( irel @ SV3 @ SV16 )
= $false )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(322,plain,
! [SV3: $i,SV36: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ SV36 ) )
= $true )
| ( ( p8 @ SV36 )
= $true )
| ( ( p9 @ ( sK12_SY551 @ SV3 @ SV16 ) )
= $false )
| ( ( irel @ SV3 @ SV16 )
= $false )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(323,plain,
! [SV4: $i,SV27: $i] :
( ( ( irel @ SV27 @ ( sK23_SY573 @ SV4 @ SV27 ) )
= $true )
| ( ( ! [SY574: $i] :
( ~ ( irel @ SV27 @ SY574 )
| ( p0 @ SY574 ) ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(324,plain,
! [SV4: $i,SV48: $i,SV27: $i] :
( ( ( ~ ( irel @ SV27 @ SV48 )
| ( p0 @ SV48 ) )
= $true )
| ( ( p1 @ ( sK23_SY573 @ SV4 @ SV27 ) )
= $false )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(325,plain,
! [SV4: $i,SV49: $i,SV17: $i] :
( ( ( ~ ( irel @ SV17 @ SV49 )
| ( p0 @ SV49 ) )
= $true )
| ( ( irel @ SV17 @ ( sK13_SY553 @ SV4 @ SV17 ) )
= $true )
| ( ( irel @ SV4 @ SV17 )
= $false )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(326,plain,
! [SV4: $i,SV37: $i,SV17: $i] :
( ( ( ~ ( irel @ SV17 @ SV37 ) )
= $true )
| ( ( p0 @ SV37 )
= $true )
| ( ( p1 @ ( sK13_SY553 @ SV4 @ SV17 ) )
= $false )
| ( ( irel @ SV4 @ SV17 )
= $false )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(327,plain,
! [SV5: $i,SV28: $i] :
( ( ( irel @ SV28 @ ( sK24_SY575 @ SV5 @ SV28 ) )
= $true )
| ( ( ! [SY576: $i] :
( ~ ( irel @ SV28 @ SY576 )
| ( p4 @ SY576 ) ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(328,plain,
! [SV5: $i,SV50: $i,SV28: $i] :
( ( ( ~ ( irel @ SV28 @ SV50 )
| ( p4 @ SV50 ) )
= $true )
| ( ( p5 @ ( sK24_SY575 @ SV5 @ SV28 ) )
= $false )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(329,plain,
! [SV5: $i,SV51: $i,SV18: $i] :
( ( ( ~ ( irel @ SV18 @ SV51 )
| ( p4 @ SV51 ) )
= $true )
| ( ( irel @ SV18 @ ( sK14_SY555 @ SV5 @ SV18 ) )
= $true )
| ( ( irel @ SV5 @ SV18 )
= $false )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(330,plain,
! [SV5: $i,SV38: $i,SV18: $i] :
( ( ( ~ ( irel @ SV18 @ SV38 ) )
= $true )
| ( ( p4 @ SV38 )
= $true )
| ( ( p5 @ ( sK14_SY555 @ SV5 @ SV18 ) )
= $false )
| ( ( irel @ SV5 @ SV18 )
= $false )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(331,plain,
! [SV6: $i,SV29: $i] :
( ( ( irel @ SV29 @ ( sK25_SY577 @ SV6 @ SV29 ) )
= $true )
| ( ( ! [SY578: $i] :
( ~ ( irel @ SV29 @ SY578 )
| ( p7 @ SY578 ) ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(332,plain,
! [SV6: $i,SV52: $i,SV29: $i] :
( ( ( ~ ( irel @ SV29 @ SV52 )
| ( p7 @ SV52 ) )
= $true )
| ( ( p8 @ ( sK25_SY577 @ SV6 @ SV29 ) )
= $false )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(333,plain,
! [SV6: $i,SV53: $i,SV19: $i] :
( ( ( ~ ( irel @ SV19 @ SV53 )
| ( p7 @ SV53 ) )
= $true )
| ( ( irel @ SV19 @ ( sK15_SY557 @ SV6 @ SV19 ) )
= $true )
| ( ( irel @ SV6 @ SV19 )
= $false )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(334,plain,
! [SV6: $i,SV39: $i,SV19: $i] :
( ( ( ~ ( irel @ SV19 @ SV39 ) )
= $true )
| ( ( p7 @ SV39 )
= $true )
| ( ( p8 @ ( sK15_SY557 @ SV6 @ SV19 ) )
= $false )
| ( ( irel @ SV6 @ SV19 )
= $false )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(335,plain,
! [SV7: $i,SV30: $i] :
( ( ( irel @ SV30 @ ( sK26_SY579 @ SV7 @ SV30 ) )
= $true )
| ( ( ! [SY580: $i] :
( ~ ( irel @ SV30 @ SY580 )
| ( p6 @ SY580 ) ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(336,plain,
! [SV7: $i,SV54: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV54 )
| ( p6 @ SV54 ) )
= $true )
| ( ( p7 @ ( sK26_SY579 @ SV7 @ SV30 ) )
= $false )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(337,plain,
! [SV7: $i,SV55: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV55 )
| ( p6 @ SV55 ) )
= $true )
| ( ( irel @ SV20 @ ( sK16_SY559 @ SV7 @ SV20 ) )
= $true )
| ( ( irel @ SV7 @ SV20 )
= $false )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(338,plain,
! [SV7: $i,SV40: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV40 ) )
= $true )
| ( ( p6 @ SV40 )
= $true )
| ( ( p7 @ ( sK16_SY559 @ SV7 @ SV20 ) )
= $false )
| ( ( irel @ SV7 @ SV20 )
= $false )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(339,plain,
! [SV8: $i,SV31: $i] :
( ( ( irel @ SV31 @ ( sK27_SY581 @ SV8 @ SV31 ) )
= $true )
| ( ( ! [SY582: $i] :
( ~ ( irel @ SV31 @ SY582 )
| ( p1 @ SY582 ) ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(340,plain,
! [SV8: $i,SV56: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV56 )
| ( p1 @ SV56 ) )
= $true )
| ( ( p2 @ ( sK27_SY581 @ SV8 @ SV31 ) )
= $false )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(341,plain,
! [SV8: $i,SV57: $i,SV21: $i] :
( ( ( ~ ( irel @ SV21 @ SV57 )
| ( p1 @ SV57 ) )
= $true )
| ( ( irel @ SV21 @ ( sK17_SY561 @ SV8 @ SV21 ) )
= $true )
| ( ( irel @ SV8 @ SV21 )
= $false )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(342,plain,
! [SV8: $i,SV41: $i,SV21: $i] :
( ( ( ~ ( irel @ SV21 @ SV41 ) )
= $true )
| ( ( p1 @ SV41 )
= $true )
| ( ( p2 @ ( sK17_SY561 @ SV8 @ SV21 ) )
= $false )
| ( ( irel @ SV8 @ SV21 )
= $false )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(343,plain,
! [SV9: $i,SV32: $i] :
( ( ( irel @ SV32 @ ( sK28_SY583 @ SV9 @ SV32 ) )
= $true )
| ( ( ! [SY584: $i] :
( ~ ( irel @ SV32 @ SY584 )
| ( p2 @ SY584 ) ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(344,plain,
! [SV9: $i,SV58: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV58 )
| ( p2 @ SV58 ) )
= $true )
| ( ( p3 @ ( sK28_SY583 @ SV9 @ SV32 ) )
= $false )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(345,plain,
! [SV9: $i,SV59: $i,SV22: $i] :
( ( ( ~ ( irel @ SV22 @ SV59 )
| ( p2 @ SV59 ) )
= $true )
| ( ( irel @ SV22 @ ( sK18_SY563 @ SV9 @ SV22 ) )
= $true )
| ( ( irel @ SV9 @ SV22 )
= $false )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(346,plain,
! [SV9: $i,SV42: $i,SV22: $i] :
( ( ( ~ ( irel @ SV22 @ SV42 ) )
= $true )
| ( ( p2 @ SV42 )
= $true )
| ( ( p3 @ ( sK18_SY563 @ SV9 @ SV22 ) )
= $false )
| ( ( irel @ SV9 @ SV22 )
= $false )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(347,plain,
! [SV11: $i,SV33: $i] :
( ( ( irel @ SV33 @ ( sK29_SY585 @ SV11 @ SV33 ) )
= $true )
| ( ( ! [SY586: $i] :
( ~ ( irel @ SV33 @ SY586 )
| ( p9 @ SY586 ) ) )
= $true )
| ( ( irel @ SV11 @ SV33 )
= $false )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(348,plain,
! [SV11: $i,SV60: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ SV60 )
| ( p9 @ SV60 ) )
= $true )
| ( ( p10 @ ( sK29_SY585 @ SV11 @ SV33 ) )
= $false )
| ( ( irel @ SV11 @ SV33 )
= $false )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(349,plain,
! [SV11: $i,SV61: $i,SV23: $i] :
( ( ( ~ ( irel @ SV23 @ SV61 )
| ( p9 @ SV61 ) )
= $true )
| ( ( irel @ SV23 @ ( sK19_SY565 @ SV11 @ SV23 ) )
= $true )
| ( ( irel @ SV11 @ SV23 )
= $false )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(350,plain,
! [SV11: $i,SV43: $i,SV23: $i] :
( ( ( ~ ( irel @ SV23 @ SV43 ) )
= $true )
| ( ( p9 @ SV43 )
= $true )
| ( ( p10 @ ( sK19_SY565 @ SV11 @ SV23 ) )
= $false )
| ( ( irel @ SV11 @ SV23 )
= $false )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(351,plain,
! [SV12: $i,SV34: $i] :
( ( ( irel @ SV34 @ ( sK30_SY587 @ SV12 @ SV34 ) )
= $true )
| ( ( ! [SY588: $i] :
( ~ ( irel @ SV34 @ SY588 )
| ( p3 @ SY588 ) ) )
= $true )
| ( ( irel @ SV12 @ SV34 )
= $false )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(352,plain,
! [SV12: $i,SV62: $i,SV34: $i] :
( ( ( ~ ( irel @ SV34 @ SV62 )
| ( p3 @ SV62 ) )
= $true )
| ( ( p4 @ ( sK30_SY587 @ SV12 @ SV34 ) )
= $false )
| ( ( irel @ SV12 @ SV34 )
= $false )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(353,plain,
! [SV12: $i,SV63: $i,SV24: $i] :
( ( ( ~ ( irel @ SV24 @ SV63 )
| ( p3 @ SV63 ) )
= $true )
| ( ( irel @ SV24 @ ( sK20_SY567 @ SV12 @ SV24 ) )
= $true )
| ( ( irel @ SV12 @ SV24 )
= $false )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(354,plain,
! [SV12: $i,SV44: $i,SV24: $i] :
( ( ( ~ ( irel @ SV24 @ SV44 ) )
= $true )
| ( ( p3 @ SV44 )
= $true )
| ( ( p4 @ ( sK20_SY567 @ SV12 @ SV24 ) )
= $false )
| ( ( irel @ SV12 @ SV24 )
= $false )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(355,plain,
! [SV13: $i,SV35: $i] :
( ( ( irel @ SV35 @ ( sK31_SY589 @ SV13 @ SV35 ) )
= $true )
| ( ( ! [SY590: $i] :
( ~ ( irel @ SV35 @ SY590 )
| ( p5 @ SY590 ) ) )
= $true )
| ( ( irel @ SV13 @ SV35 )
= $false )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(356,plain,
! [SV13: $i,SV64: $i,SV35: $i] :
( ( ( ~ ( irel @ SV35 @ SV64 )
| ( p5 @ SV64 ) )
= $true )
| ( ( p6 @ ( sK31_SY589 @ SV13 @ SV35 ) )
= $false )
| ( ( irel @ SV13 @ SV35 )
= $false )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(357,plain,
! [SV13: $i,SV65: $i,SV25: $i] :
( ( ( ~ ( irel @ SV25 @ SV65 )
| ( p5 @ SV65 ) )
= $true )
| ( ( irel @ SV25 @ ( sK21_SY569 @ SV13 @ SV25 ) )
= $true )
| ( ( irel @ SV13 @ SV25 )
= $false )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(358,plain,
! [SV13: $i,SV45: $i,SV25: $i] :
( ( ( ~ ( irel @ SV25 @ SV45 ) )
= $true )
| ( ( p5 @ SV45 )
= $true )
| ( ( p6 @ ( sK21_SY569 @ SV13 @ SV25 ) )
= $false )
| ( ( irel @ SV13 @ SV25 )
= $false )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(359,plain,
! [SV3: $i,SV66: $i,SV26: $i] :
( ( ( ~ ( irel @ SV26 @ SV66 )
| ( p8 @ SV66 ) )
= $true )
| ( ( irel @ SV26 @ ( sK22_SY571 @ SV3 @ SV26 ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(360,plain,
! [SV3: $i,SV46: $i,SV26: $i] :
( ( ( ~ ( irel @ SV26 @ SV46 ) )
= $true )
| ( ( p8 @ SV46 )
= $true )
| ( ( p9 @ ( sK22_SY571 @ SV3 @ SV26 ) )
= $false )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(361,plain,
! [SV3: $i,SV47: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ SV47 ) )
= $true )
| ( ( p8 @ SV47 )
= $true )
| ( ( irel @ SV16 @ ( sK12_SY551 @ SV3 @ SV16 ) )
= $true )
| ( ( irel @ SV3 @ SV16 )
= $false )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(362,plain,
! [SV3: $i,SV36: $i,SV16: $i] :
( ( ( irel @ SV16 @ SV36 )
= $false )
| ( ( p8 @ SV36 )
= $true )
| ( ( p9 @ ( sK12_SY551 @ SV3 @ SV16 ) )
= $false )
| ( ( irel @ SV3 @ SV16 )
= $false )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(363,plain,
! [SV4: $i,SV67: $i,SV27: $i] :
( ( ( ~ ( irel @ SV27 @ SV67 )
| ( p0 @ SV67 ) )
= $true )
| ( ( irel @ SV27 @ ( sK23_SY573 @ SV4 @ SV27 ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(364,plain,
! [SV4: $i,SV48: $i,SV27: $i] :
( ( ( ~ ( irel @ SV27 @ SV48 ) )
= $true )
| ( ( p0 @ SV48 )
= $true )
| ( ( p1 @ ( sK23_SY573 @ SV4 @ SV27 ) )
= $false )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(365,plain,
! [SV4: $i,SV49: $i,SV17: $i] :
( ( ( ~ ( irel @ SV17 @ SV49 ) )
= $true )
| ( ( p0 @ SV49 )
= $true )
| ( ( irel @ SV17 @ ( sK13_SY553 @ SV4 @ SV17 ) )
= $true )
| ( ( irel @ SV4 @ SV17 )
= $false )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(366,plain,
! [SV4: $i,SV37: $i,SV17: $i] :
( ( ( irel @ SV17 @ SV37 )
= $false )
| ( ( p0 @ SV37 )
= $true )
| ( ( p1 @ ( sK13_SY553 @ SV4 @ SV17 ) )
= $false )
| ( ( irel @ SV4 @ SV17 )
= $false )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(367,plain,
! [SV5: $i,SV68: $i,SV28: $i] :
( ( ( ~ ( irel @ SV28 @ SV68 )
| ( p4 @ SV68 ) )
= $true )
| ( ( irel @ SV28 @ ( sK24_SY575 @ SV5 @ SV28 ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(368,plain,
! [SV5: $i,SV50: $i,SV28: $i] :
( ( ( ~ ( irel @ SV28 @ SV50 ) )
= $true )
| ( ( p4 @ SV50 )
= $true )
| ( ( p5 @ ( sK24_SY575 @ SV5 @ SV28 ) )
= $false )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(369,plain,
! [SV5: $i,SV51: $i,SV18: $i] :
( ( ( ~ ( irel @ SV18 @ SV51 ) )
= $true )
| ( ( p4 @ SV51 )
= $true )
| ( ( irel @ SV18 @ ( sK14_SY555 @ SV5 @ SV18 ) )
= $true )
| ( ( irel @ SV5 @ SV18 )
= $false )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(370,plain,
! [SV5: $i,SV38: $i,SV18: $i] :
( ( ( irel @ SV18 @ SV38 )
= $false )
| ( ( p4 @ SV38 )
= $true )
| ( ( p5 @ ( sK14_SY555 @ SV5 @ SV18 ) )
= $false )
| ( ( irel @ SV5 @ SV18 )
= $false )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(371,plain,
! [SV6: $i,SV69: $i,SV29: $i] :
( ( ( ~ ( irel @ SV29 @ SV69 )
| ( p7 @ SV69 ) )
= $true )
| ( ( irel @ SV29 @ ( sK25_SY577 @ SV6 @ SV29 ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(372,plain,
! [SV6: $i,SV52: $i,SV29: $i] :
( ( ( ~ ( irel @ SV29 @ SV52 ) )
= $true )
| ( ( p7 @ SV52 )
= $true )
| ( ( p8 @ ( sK25_SY577 @ SV6 @ SV29 ) )
= $false )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(373,plain,
! [SV6: $i,SV53: $i,SV19: $i] :
( ( ( ~ ( irel @ SV19 @ SV53 ) )
= $true )
| ( ( p7 @ SV53 )
= $true )
| ( ( irel @ SV19 @ ( sK15_SY557 @ SV6 @ SV19 ) )
= $true )
| ( ( irel @ SV6 @ SV19 )
= $false )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(374,plain,
! [SV6: $i,SV39: $i,SV19: $i] :
( ( ( irel @ SV19 @ SV39 )
= $false )
| ( ( p7 @ SV39 )
= $true )
| ( ( p8 @ ( sK15_SY557 @ SV6 @ SV19 ) )
= $false )
| ( ( irel @ SV6 @ SV19 )
= $false )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(375,plain,
! [SV7: $i,SV70: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV70 )
| ( p6 @ SV70 ) )
= $true )
| ( ( irel @ SV30 @ ( sK26_SY579 @ SV7 @ SV30 ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(376,plain,
! [SV7: $i,SV54: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV54 ) )
= $true )
| ( ( p6 @ SV54 )
= $true )
| ( ( p7 @ ( sK26_SY579 @ SV7 @ SV30 ) )
= $false )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(377,plain,
! [SV7: $i,SV55: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV55 ) )
= $true )
| ( ( p6 @ SV55 )
= $true )
| ( ( irel @ SV20 @ ( sK16_SY559 @ SV7 @ SV20 ) )
= $true )
| ( ( irel @ SV7 @ SV20 )
= $false )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(378,plain,
! [SV7: $i,SV40: $i,SV20: $i] :
( ( ( irel @ SV20 @ SV40 )
= $false )
| ( ( p6 @ SV40 )
= $true )
| ( ( p7 @ ( sK16_SY559 @ SV7 @ SV20 ) )
= $false )
| ( ( irel @ SV7 @ SV20 )
= $false )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(379,plain,
! [SV8: $i,SV71: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV71 )
| ( p1 @ SV71 ) )
= $true )
| ( ( irel @ SV31 @ ( sK27_SY581 @ SV8 @ SV31 ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(380,plain,
! [SV8: $i,SV56: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV56 ) )
= $true )
| ( ( p1 @ SV56 )
= $true )
| ( ( p2 @ ( sK27_SY581 @ SV8 @ SV31 ) )
= $false )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(381,plain,
! [SV8: $i,SV57: $i,SV21: $i] :
( ( ( ~ ( irel @ SV21 @ SV57 ) )
= $true )
| ( ( p1 @ SV57 )
= $true )
| ( ( irel @ SV21 @ ( sK17_SY561 @ SV8 @ SV21 ) )
= $true )
| ( ( irel @ SV8 @ SV21 )
= $false )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(382,plain,
! [SV8: $i,SV41: $i,SV21: $i] :
( ( ( irel @ SV21 @ SV41 )
= $false )
| ( ( p1 @ SV41 )
= $true )
| ( ( p2 @ ( sK17_SY561 @ SV8 @ SV21 ) )
= $false )
| ( ( irel @ SV8 @ SV21 )
= $false )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(383,plain,
! [SV9: $i,SV72: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV72 )
| ( p2 @ SV72 ) )
= $true )
| ( ( irel @ SV32 @ ( sK28_SY583 @ SV9 @ SV32 ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(384,plain,
! [SV9: $i,SV58: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV58 ) )
= $true )
| ( ( p2 @ SV58 )
= $true )
| ( ( p3 @ ( sK28_SY583 @ SV9 @ SV32 ) )
= $false )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(385,plain,
! [SV9: $i,SV59: $i,SV22: $i] :
( ( ( ~ ( irel @ SV22 @ SV59 ) )
= $true )
| ( ( p2 @ SV59 )
= $true )
| ( ( irel @ SV22 @ ( sK18_SY563 @ SV9 @ SV22 ) )
= $true )
| ( ( irel @ SV9 @ SV22 )
= $false )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(386,plain,
! [SV9: $i,SV42: $i,SV22: $i] :
( ( ( irel @ SV22 @ SV42 )
= $false )
| ( ( p2 @ SV42 )
= $true )
| ( ( p3 @ ( sK18_SY563 @ SV9 @ SV22 ) )
= $false )
| ( ( irel @ SV9 @ SV22 )
= $false )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(387,plain,
! [SV11: $i,SV73: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ SV73 )
| ( p9 @ SV73 ) )
= $true )
| ( ( irel @ SV33 @ ( sK29_SY585 @ SV11 @ SV33 ) )
= $true )
| ( ( irel @ SV11 @ SV33 )
= $false )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(388,plain,
! [SV11: $i,SV60: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ SV60 ) )
= $true )
| ( ( p9 @ SV60 )
= $true )
| ( ( p10 @ ( sK29_SY585 @ SV11 @ SV33 ) )
= $false )
| ( ( irel @ SV11 @ SV33 )
= $false )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(389,plain,
! [SV11: $i,SV61: $i,SV23: $i] :
( ( ( ~ ( irel @ SV23 @ SV61 ) )
= $true )
| ( ( p9 @ SV61 )
= $true )
| ( ( irel @ SV23 @ ( sK19_SY565 @ SV11 @ SV23 ) )
= $true )
| ( ( irel @ SV11 @ SV23 )
= $false )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(390,plain,
! [SV11: $i,SV43: $i,SV23: $i] :
( ( ( irel @ SV23 @ SV43 )
= $false )
| ( ( p9 @ SV43 )
= $true )
| ( ( p10 @ ( sK19_SY565 @ SV11 @ SV23 ) )
= $false )
| ( ( irel @ SV11 @ SV23 )
= $false )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(391,plain,
! [SV12: $i,SV74: $i,SV34: $i] :
( ( ( ~ ( irel @ SV34 @ SV74 )
| ( p3 @ SV74 ) )
= $true )
| ( ( irel @ SV34 @ ( sK30_SY587 @ SV12 @ SV34 ) )
= $true )
| ( ( irel @ SV12 @ SV34 )
= $false )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(392,plain,
! [SV12: $i,SV62: $i,SV34: $i] :
( ( ( ~ ( irel @ SV34 @ SV62 ) )
= $true )
| ( ( p3 @ SV62 )
= $true )
| ( ( p4 @ ( sK30_SY587 @ SV12 @ SV34 ) )
= $false )
| ( ( irel @ SV12 @ SV34 )
= $false )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(393,plain,
! [SV12: $i,SV63: $i,SV24: $i] :
( ( ( ~ ( irel @ SV24 @ SV63 ) )
= $true )
| ( ( p3 @ SV63 )
= $true )
| ( ( irel @ SV24 @ ( sK20_SY567 @ SV12 @ SV24 ) )
= $true )
| ( ( irel @ SV12 @ SV24 )
= $false )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(394,plain,
! [SV12: $i,SV44: $i,SV24: $i] :
( ( ( irel @ SV24 @ SV44 )
= $false )
| ( ( p3 @ SV44 )
= $true )
| ( ( p4 @ ( sK20_SY567 @ SV12 @ SV24 ) )
= $false )
| ( ( irel @ SV12 @ SV24 )
= $false )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(395,plain,
! [SV13: $i,SV75: $i,SV35: $i] :
( ( ( ~ ( irel @ SV35 @ SV75 )
| ( p5 @ SV75 ) )
= $true )
| ( ( irel @ SV35 @ ( sK31_SY589 @ SV13 @ SV35 ) )
= $true )
| ( ( irel @ SV13 @ SV35 )
= $false )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(396,plain,
! [SV13: $i,SV64: $i,SV35: $i] :
( ( ( ~ ( irel @ SV35 @ SV64 ) )
= $true )
| ( ( p5 @ SV64 )
= $true )
| ( ( p6 @ ( sK31_SY589 @ SV13 @ SV35 ) )
= $false )
| ( ( irel @ SV13 @ SV35 )
= $false )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(397,plain,
! [SV13: $i,SV65: $i,SV25: $i] :
( ( ( ~ ( irel @ SV25 @ SV65 ) )
= $true )
| ( ( p5 @ SV65 )
= $true )
| ( ( irel @ SV25 @ ( sK21_SY569 @ SV13 @ SV25 ) )
= $true )
| ( ( irel @ SV13 @ SV25 )
= $false )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(398,plain,
! [SV13: $i,SV45: $i,SV25: $i] :
( ( ( irel @ SV25 @ SV45 )
= $false )
| ( ( p5 @ SV45 )
= $true )
| ( ( p6 @ ( sK21_SY569 @ SV13 @ SV25 ) )
= $false )
| ( ( irel @ SV13 @ SV25 )
= $false )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(399,plain,
! [SV3: $i,SV66: $i,SV26: $i] :
( ( ( ~ ( irel @ SV26 @ SV66 ) )
= $true )
| ( ( p8 @ SV66 )
= $true )
| ( ( irel @ SV26 @ ( sK22_SY571 @ SV3 @ SV26 ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(400,plain,
! [SV3: $i,SV46: $i,SV26: $i] :
( ( ( irel @ SV26 @ SV46 )
= $false )
| ( ( p8 @ SV46 )
= $true )
| ( ( p9 @ ( sK22_SY571 @ SV3 @ SV26 ) )
= $false )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(401,plain,
! [SV3: $i,SV47: $i,SV16: $i] :
( ( ( irel @ SV16 @ SV47 )
= $false )
| ( ( p8 @ SV47 )
= $true )
| ( ( irel @ SV16 @ ( sK12_SY551 @ SV3 @ SV16 ) )
= $true )
| ( ( irel @ SV3 @ SV16 )
= $false )
| ( ( p9 @ ( sK2_SY508 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(402,plain,
! [SV4: $i,SV67: $i,SV27: $i] :
( ( ( ~ ( irel @ SV27 @ SV67 ) )
= $true )
| ( ( p0 @ SV67 )
= $true )
| ( ( irel @ SV27 @ ( sK23_SY573 @ SV4 @ SV27 ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(403,plain,
! [SV4: $i,SV48: $i,SV27: $i] :
( ( ( irel @ SV27 @ SV48 )
= $false )
| ( ( p0 @ SV48 )
= $true )
| ( ( p1 @ ( sK23_SY573 @ SV4 @ SV27 ) )
= $false )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(404,plain,
! [SV4: $i,SV49: $i,SV17: $i] :
( ( ( irel @ SV17 @ SV49 )
= $false )
| ( ( p0 @ SV49 )
= $true )
| ( ( irel @ SV17 @ ( sK13_SY553 @ SV4 @ SV17 ) )
= $true )
| ( ( irel @ SV4 @ SV17 )
= $false )
| ( ( p1 @ ( sK3_SY512 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(405,plain,
! [SV5: $i,SV68: $i,SV28: $i] :
( ( ( ~ ( irel @ SV28 @ SV68 ) )
= $true )
| ( ( p4 @ SV68 )
= $true )
| ( ( irel @ SV28 @ ( sK24_SY575 @ SV5 @ SV28 ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(406,plain,
! [SV5: $i,SV50: $i,SV28: $i] :
( ( ( irel @ SV28 @ SV50 )
= $false )
| ( ( p4 @ SV50 )
= $true )
| ( ( p5 @ ( sK24_SY575 @ SV5 @ SV28 ) )
= $false )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(407,plain,
! [SV5: $i,SV51: $i,SV18: $i] :
( ( ( irel @ SV18 @ SV51 )
= $false )
| ( ( p4 @ SV51 )
= $true )
| ( ( irel @ SV18 @ ( sK14_SY555 @ SV5 @ SV18 ) )
= $true )
| ( ( irel @ SV5 @ SV18 )
= $false )
| ( ( p5 @ ( sK4_SY516 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(408,plain,
! [SV6: $i,SV69: $i,SV29: $i] :
( ( ( ~ ( irel @ SV29 @ SV69 ) )
= $true )
| ( ( p7 @ SV69 )
= $true )
| ( ( irel @ SV29 @ ( sK25_SY577 @ SV6 @ SV29 ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(409,plain,
! [SV6: $i,SV52: $i,SV29: $i] :
( ( ( irel @ SV29 @ SV52 )
= $false )
| ( ( p7 @ SV52 )
= $true )
| ( ( p8 @ ( sK25_SY577 @ SV6 @ SV29 ) )
= $false )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(410,plain,
! [SV6: $i,SV53: $i,SV19: $i] :
( ( ( irel @ SV19 @ SV53 )
= $false )
| ( ( p7 @ SV53 )
= $true )
| ( ( irel @ SV19 @ ( sK15_SY557 @ SV6 @ SV19 ) )
= $true )
| ( ( irel @ SV6 @ SV19 )
= $false )
| ( ( p8 @ ( sK5_SY520 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(411,plain,
! [SV7: $i,SV70: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV70 ) )
= $true )
| ( ( p6 @ SV70 )
= $true )
| ( ( irel @ SV30 @ ( sK26_SY579 @ SV7 @ SV30 ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(412,plain,
! [SV7: $i,SV54: $i,SV30: $i] :
( ( ( irel @ SV30 @ SV54 )
= $false )
| ( ( p6 @ SV54 )
= $true )
| ( ( p7 @ ( sK26_SY579 @ SV7 @ SV30 ) )
= $false )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(413,plain,
! [SV7: $i,SV55: $i,SV20: $i] :
( ( ( irel @ SV20 @ SV55 )
= $false )
| ( ( p6 @ SV55 )
= $true )
| ( ( irel @ SV20 @ ( sK16_SY559 @ SV7 @ SV20 ) )
= $true )
| ( ( irel @ SV7 @ SV20 )
= $false )
| ( ( p7 @ ( sK6_SY524 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(414,plain,
! [SV8: $i,SV71: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV71 ) )
= $true )
| ( ( p1 @ SV71 )
= $true )
| ( ( irel @ SV31 @ ( sK27_SY581 @ SV8 @ SV31 ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(415,plain,
! [SV8: $i,SV56: $i,SV31: $i] :
( ( ( irel @ SV31 @ SV56 )
= $false )
| ( ( p1 @ SV56 )
= $true )
| ( ( p2 @ ( sK27_SY581 @ SV8 @ SV31 ) )
= $false )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(416,plain,
! [SV8: $i,SV57: $i,SV21: $i] :
( ( ( irel @ SV21 @ SV57 )
= $false )
| ( ( p1 @ SV57 )
= $true )
| ( ( irel @ SV21 @ ( sK17_SY561 @ SV8 @ SV21 ) )
= $true )
| ( ( irel @ SV8 @ SV21 )
= $false )
| ( ( p2 @ ( sK7_SY528 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(417,plain,
! [SV9: $i,SV72: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV72 ) )
= $true )
| ( ( p2 @ SV72 )
= $true )
| ( ( irel @ SV32 @ ( sK28_SY583 @ SV9 @ SV32 ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(418,plain,
! [SV9: $i,SV58: $i,SV32: $i] :
( ( ( irel @ SV32 @ SV58 )
= $false )
| ( ( p2 @ SV58 )
= $true )
| ( ( p3 @ ( sK28_SY583 @ SV9 @ SV32 ) )
= $false )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(419,plain,
! [SV9: $i,SV59: $i,SV22: $i] :
( ( ( irel @ SV22 @ SV59 )
= $false )
| ( ( p2 @ SV59 )
= $true )
| ( ( irel @ SV22 @ ( sK18_SY563 @ SV9 @ SV22 ) )
= $true )
| ( ( irel @ SV9 @ SV22 )
= $false )
| ( ( p3 @ ( sK8_SY532 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(420,plain,
! [SV11: $i,SV73: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ SV73 ) )
= $true )
| ( ( p9 @ SV73 )
= $true )
| ( ( irel @ SV33 @ ( sK29_SY585 @ SV11 @ SV33 ) )
= $true )
| ( ( irel @ SV11 @ SV33 )
= $false )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(421,plain,
! [SV11: $i,SV60: $i,SV33: $i] :
( ( ( irel @ SV33 @ SV60 )
= $false )
| ( ( p9 @ SV60 )
= $true )
| ( ( p10 @ ( sK29_SY585 @ SV11 @ SV33 ) )
= $false )
| ( ( irel @ SV11 @ SV33 )
= $false )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(422,plain,
! [SV11: $i,SV61: $i,SV23: $i] :
( ( ( irel @ SV23 @ SV61 )
= $false )
| ( ( p9 @ SV61 )
= $true )
| ( ( irel @ SV23 @ ( sK19_SY565 @ SV11 @ SV23 ) )
= $true )
| ( ( irel @ SV11 @ SV23 )
= $false )
| ( ( p10 @ ( sK9_SY538 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(423,plain,
! [SV12: $i,SV74: $i,SV34: $i] :
( ( ( ~ ( irel @ SV34 @ SV74 ) )
= $true )
| ( ( p3 @ SV74 )
= $true )
| ( ( irel @ SV34 @ ( sK30_SY587 @ SV12 @ SV34 ) )
= $true )
| ( ( irel @ SV12 @ SV34 )
= $false )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(424,plain,
! [SV12: $i,SV62: $i,SV34: $i] :
( ( ( irel @ SV34 @ SV62 )
= $false )
| ( ( p3 @ SV62 )
= $true )
| ( ( p4 @ ( sK30_SY587 @ SV12 @ SV34 ) )
= $false )
| ( ( irel @ SV12 @ SV34 )
= $false )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(425,plain,
! [SV12: $i,SV63: $i,SV24: $i] :
( ( ( irel @ SV24 @ SV63 )
= $false )
| ( ( p3 @ SV63 )
= $true )
| ( ( irel @ SV24 @ ( sK20_SY567 @ SV12 @ SV24 ) )
= $true )
| ( ( irel @ SV12 @ SV24 )
= $false )
| ( ( p4 @ ( sK10_SY542 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(426,plain,
! [SV13: $i,SV75: $i,SV35: $i] :
( ( ( ~ ( irel @ SV35 @ SV75 ) )
= $true )
| ( ( p5 @ SV75 )
= $true )
| ( ( irel @ SV35 @ ( sK31_SY589 @ SV13 @ SV35 ) )
= $true )
| ( ( irel @ SV13 @ SV35 )
= $false )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(427,plain,
! [SV13: $i,SV64: $i,SV35: $i] :
( ( ( irel @ SV35 @ SV64 )
= $false )
| ( ( p5 @ SV64 )
= $true )
| ( ( p6 @ ( sK31_SY589 @ SV13 @ SV35 ) )
= $false )
| ( ( irel @ SV13 @ SV35 )
= $false )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(428,plain,
! [SV13: $i,SV65: $i,SV25: $i] :
( ( ( irel @ SV25 @ SV65 )
= $false )
| ( ( p5 @ SV65 )
= $true )
| ( ( irel @ SV25 @ ( sK21_SY569 @ SV13 @ SV25 ) )
= $true )
| ( ( irel @ SV13 @ SV25 )
= $false )
| ( ( p6 @ ( sK11_SY546 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(429,plain,
! [SV3: $i,SV66: $i,SV26: $i] :
( ( ( irel @ SV26 @ SV66 )
= $false )
| ( ( p8 @ SV66 )
= $true )
| ( ( irel @ SV26 @ ( sK22_SY571 @ SV3 @ SV26 ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY508 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(430,plain,
! [SV4: $i,SV67: $i,SV27: $i] :
( ( ( irel @ SV27 @ SV67 )
= $false )
| ( ( p0 @ SV67 )
= $true )
| ( ( irel @ SV27 @ ( sK23_SY573 @ SV4 @ SV27 ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY512 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(431,plain,
! [SV5: $i,SV68: $i,SV28: $i] :
( ( ( irel @ SV28 @ SV68 )
= $false )
| ( ( p4 @ SV68 )
= $true )
| ( ( irel @ SV28 @ ( sK24_SY575 @ SV5 @ SV28 ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY516 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(432,plain,
! [SV6: $i,SV69: $i,SV29: $i] :
( ( ( irel @ SV29 @ SV69 )
= $false )
| ( ( p7 @ SV69 )
= $true )
| ( ( irel @ SV29 @ ( sK25_SY577 @ SV6 @ SV29 ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY520 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(433,plain,
! [SV7: $i,SV70: $i,SV30: $i] :
( ( ( irel @ SV30 @ SV70 )
= $false )
| ( ( p6 @ SV70 )
= $true )
| ( ( irel @ SV30 @ ( sK26_SY579 @ SV7 @ SV30 ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY524 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(434,plain,
! [SV8: $i,SV71: $i,SV31: $i] :
( ( ( irel @ SV31 @ SV71 )
= $false )
| ( ( p1 @ SV71 )
= $true )
| ( ( irel @ SV31 @ ( sK27_SY581 @ SV8 @ SV31 ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY528 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(435,plain,
! [SV9: $i,SV72: $i,SV32: $i] :
( ( ( irel @ SV32 @ SV72 )
= $false )
| ( ( p2 @ SV72 )
= $true )
| ( ( irel @ SV32 @ ( sK28_SY583 @ SV9 @ SV32 ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY532 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(436,plain,
! [SV11: $i,SV73: $i,SV33: $i] :
( ( ( irel @ SV33 @ SV73 )
= $false )
| ( ( p9 @ SV73 )
= $true )
| ( ( irel @ SV33 @ ( sK29_SY585 @ SV11 @ SV33 ) )
= $true )
| ( ( irel @ SV11 @ SV33 )
= $false )
| ( ( irel @ SV11 @ ( sK9_SY538 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(437,plain,
! [SV12: $i,SV74: $i,SV34: $i] :
( ( ( irel @ SV34 @ SV74 )
= $false )
| ( ( p3 @ SV74 )
= $true )
| ( ( irel @ SV34 @ ( sK30_SY587 @ SV12 @ SV34 ) )
= $true )
| ( ( irel @ SV12 @ SV34 )
= $false )
| ( ( irel @ SV12 @ ( sK10_SY542 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(438,plain,
! [SV13: $i,SV75: $i,SV35: $i] :
( ( ( irel @ SV35 @ SV75 )
= $false )
| ( ( p5 @ SV75 )
= $true )
| ( ( irel @ SV35 @ ( sK31_SY589 @ SV13 @ SV35 ) )
= $true )
| ( ( irel @ SV13 @ SV35 )
= $false )
| ( ( irel @ SV13 @ ( sK11_SY546 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(439,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[57,438,437,436,435,434,433,432,431,430,429,428,427,425,424,422,421,419,418,416,415,413,412,410,409,407,406,404,403,401,400,398,394,390,386,382,378,374,370,366,362,202,59,58]) ).
thf(440,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO068^4.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n009.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 17:31:32 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.56/0.52
% 1.56/0.52 No.of.Axioms: 13
% 1.56/0.52
% 1.56/0.52 Length.of.Defs: 2753
% 1.56/0.52
% 1.56/0.52 Contains.Choice.Funs: false
% 1.56/0.52 ................
% 1.56/0.52
% 1.56/0.52 ********************************
% 1.56/0.52 * All subproblems solved! *
% 1.56/0.52 ********************************
% 1.56/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:439,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.56/0.52
% 1.56/0.52 %**** Beginning of derivation protocol ****
% 1.56/0.52 % SZS output start CNFRefutation
% See solution above
% 1.56/0.52
% 1.56/0.52 %**** End of derivation protocol ****
% 1.56/0.52 %**** no. of clauses in derivation: 440 ****
% 1.56/0.52 %**** clause counter: 439 ****
% 1.56/0.52
% 1.56/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:439,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------