%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO064^4.004 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 11:07:31 AM UTC 2026
% Result : Theorem 211.33s 35.59s
% Output : CNFRefutation 211.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 27
% Syntax : Number of formulae : 313 ( 121 unt; 0 typ; 19 def)
% Number of atoms : 3953 ( 947 equ; 0 cnn)
% Maximal formula atoms : 27 ( 12 avg)
% Number of connectives : 6228 (1306 ~;1558 |; 45 &;3270 @)
% ( 0 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 44 ( 41 usr; 11 con; 0-3 aty)
% Number of variables : 1022 ( 31 ^; 989 !; 2 ?;1022 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i > $o ).
thf(tp_a1,type,
a1: $i > $o ).
thf(tp_a2,type,
a2: $i > $o ).
thf(tp_a3,type,
a3: $i > $o ).
thf(tp_a4,type,
a4: $i > $o ).
thf(tp_b,type,
b: $i > $o ).
thf(tp_b1,type,
b1: $i > $o ).
thf(tp_b2,type,
b2: $i > $o ).
thf(tp_b3,type,
b3: $i > $o ).
thf(tp_iand,type,
iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_iatom,type,
iatom: ( $i > $o ) > $i > $o ).
thf(tp_icountersatisfiable,type,
icountersatisfiable: ( $i > $o ) > $o ).
thf(tp_iequiv,type,
iequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_ifalse,type,
ifalse: $i > $o ).
thf(tp_iimplied,type,
iimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_iimplies,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_iinvalid,type,
iinvalid: ( $i > $o ) > $o ).
thf(tp_inot,type,
inot: ( $i > $o ) > $i > $o ).
thf(tp_ior,type,
ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_irel,type,
irel: $i > $i > $o ).
thf(tp_isatisfiable,type,
isatisfiable: ( $i > $o ) > $o ).
thf(tp_itrue,type,
itrue: $i > $o ).
thf(tp_ivalid,type,
ivalid: ( $i > $o ) > $o ).
thf(tp_ixor,type,
ixor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mbox_s4,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(tp_mimplies,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mnot,type,
mnot: ( $i > $o ) > $i > $o ).
thf(tp_mor,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_sK10_SY212,type,
sK10_SY212: $i > $i ).
thf(tp_sK11_SY285,type,
sK11_SY285: $i > $i ).
thf(tp_sK12_SY358,type,
sK12_SY358: $i > $i ).
thf(tp_sK1_SY88,type,
sK1_SY88: $i ).
thf(tp_sK2_SY378,type,
sK2_SY378: $i ).
thf(tp_sK3_SY386,type,
sK3_SY386: $i ).
thf(tp_sK4_SY392,type,
sK4_SY392: $i ).
thf(tp_sK5_SY396,type,
sK5_SY396: $i ).
thf(tp_sK6_SY395,type,
sK6_SY395: $i ).
thf(tp_sK7_SY391,type,
sK7_SY391: $i ).
thf(tp_sK8_SY385,type,
sK8_SY385: $i ).
thf(tp_sK9_SY377,type,
sK9_SY377: $i ).
thf(iand,definition,
( iand
= ( ^ [P: $i > $o,Q: $i > $o] : ( mand @ P @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iand) ).
thf(iatom,definition,
( iatom
= ( ^ [P: $i > $o] : P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iatom) ).
thf(icountersatisfiable,definition,
( icountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',icountersatisfiable) ).
thf(iequiv,definition,
( iequiv
= ( ^ [P: $i > $o,Q: $i > $o] : ( iand @ ( iimplies @ P @ Q ) @ ( iimplies @ Q @ P ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iequiv) ).
thf(ifalse,definition,
( ifalse
= ( inot @ itrue ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifalse) ).
thf(iimplied,definition,
( iimplied
= ( ^ [P: $i > $o,Q: $i > $o] : ( iimplies @ Q @ P ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iimplied) ).
thf(iimplies,definition,
( iimplies
= ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iimplies) ).
thf(iinvalid,definition,
( iinvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iinvalid) ).
thf(inot,definition,
( inot
= ( ^ [P: $i > $o] : ( mnot @ ( mbox_s4 @ P ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inot) ).
thf(ior,definition,
( ior
= ( ^ [P: $i > $o,Q: $i > $o] : ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ior) ).
thf(isatisfiable,definition,
( isatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isatisfiable) ).
thf(itrue,definition,
( itrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',itrue) ).
thf(ivalid,definition,
( ivalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ivalid) ).
thf(ixor,definition,
( ixor
= ( ^ [P: $i > $o,Q: $i > $o] : ( inot @ ( iequiv @ P @ Q ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ixor) ).
thf(mand,definition,
( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mbox_s4) ).
thf(mimplies,definition,
( mimplies
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(mnot,definition,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
thf(1,axiom,
ivalid @ ( ior @ ( ior @ ( iatom @ b ) @ ( iatom @ a ) ) @ ( iatom @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom5) ).
thf(2,axiom,
ivalid @ ( iimplies @ ( iatom @ b ) @ ( ior @ ( ior @ ( iatom @ b1 ) @ ( iatom @ a1 ) ) @ ( iatom @ b1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom4) ).
thf(3,axiom,
ivalid @ ( iimplies @ ( iatom @ b1 ) @ ( ior @ ( ior @ ( iatom @ b2 ) @ ( iatom @ a2 ) ) @ ( iatom @ b2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom3) ).
thf(4,axiom,
ivalid @ ( iimplies @ ( iatom @ b2 ) @ ( ior @ ( ior @ ( iatom @ b3 ) @ ( iatom @ a3 ) ) @ ( iatom @ b3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom2) ).
thf(5,axiom,
ivalid @ ( iatom @ a4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1) ).
thf(6,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( irel @ X @ Y )
& ( irel @ Y @ Z ) )
=> ( irel @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom) ).
thf(7,axiom,
! [X: $i] : ( irel @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom) ).
thf(8,conjecture,
ivalid @ ( ior @ ( iatom @ a ) @ ( ior @ ( iand @ ( iatom @ b ) @ ( iatom @ a1 ) ) @ ( ior @ ( iand @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) @ ( ior @ ( iand @ ( iatom @ b2 ) @ ( iatom @ a3 ) ) @ ( iand @ ( iatom @ b3 ) @ ( iatom @ a4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(9,negated_conjecture,
( ( ivalid @ ( ior @ ( iatom @ a ) @ ( ior @ ( iand @ ( iatom @ b ) @ ( iatom @ a1 ) ) @ ( ior @ ( iand @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) @ ( ior @ ( iand @ ( iatom @ b2 ) @ ( iatom @ a3 ) ) @ ( iand @ ( iatom @ b3 ) @ ( iatom @ a4 ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,plain,
( ( ! [SY88: $i] :
( ! [SY89: $i] :
( ( irel @ SY88 @ SY89 )
=> ( a @ SY89 ) )
| ! [SY90: $i] :
( ( irel @ SY88 @ SY90 )
=> ( ! [SY82: $i] :
( ( irel @ SY90 @ SY82 )
=> ( ( b @ SY82 )
& ( a1 @ SY82 ) ) )
| ! [SY83: $i] :
( ( irel @ SY90 @ SY83 )
=> ( ! [SY75: $i] :
( ( irel @ SY83 @ SY75 )
=> ( ( b1 @ SY75 )
& ( a2 @ SY75 ) ) )
| ! [SY76: $i] :
( ( irel @ SY83 @ SY76 )
=> ( ! [SY70: $i] :
( ( irel @ SY76 @ SY70 )
=> ( ( b2 @ SY70 )
& ( a3 @ SY70 ) ) )
| ! [SY71: $i] :
( ( irel @ SY76 @ SY71 )
=> ( ( b3 @ SY71 )
& ( a4 @ SY71 ) ) ) ) ) ) ) ) ) ) )
= $false ),
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(11,plain,
( ( ! [SY142: $i] :
( ! [SY143: $i] :
( ( irel @ SY142 @ SY143 )
=> ( ! [SY123: $i] :
( ( irel @ SY143 @ SY123 )
=> ( b @ SY123 ) )
| ! [SY124: $i] :
( ( irel @ SY143 @ SY124 )
=> ( a @ SY124 ) ) ) )
| ! [SY146: $i] :
( ( irel @ SY142 @ SY146 )
=> ( b @ SY146 ) ) ) )
= $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(12,plain,
( ( ! [SY211: $i] :
( ~ ! [SY212: $i] :
( ( irel @ SY211 @ SY212 )
=> ( b @ SY212 ) )
| ! [SY213: $i] :
( ( irel @ SY211 @ SY213 )
=> ( ! [SY207: $i] :
( ( irel @ SY213 @ SY207 )
=> ( ! [SY185: $i] :
( ( irel @ SY207 @ SY185 )
=> ( b1 @ SY185 ) )
| ! [SY186: $i] :
( ( irel @ SY207 @ SY186 )
=> ( a1 @ SY186 ) ) ) )
| ! [SY210: $i] :
( ( irel @ SY213 @ SY210 )
=> ( b1 @ SY210 ) ) ) ) ) )
= $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(13,plain,
( ( ! [SY284: $i] :
( ~ ! [SY285: $i] :
( ( irel @ SY284 @ SY285 )
=> ( b1 @ SY285 ) )
| ! [SY286: $i] :
( ( irel @ SY284 @ SY286 )
=> ( ! [SY280: $i] :
( ( irel @ SY286 @ SY280 )
=> ( ! [SY258: $i] :
( ( irel @ SY280 @ SY258 )
=> ( b2 @ SY258 ) )
| ! [SY259: $i] :
( ( irel @ SY280 @ SY259 )
=> ( a2 @ SY259 ) ) ) )
| ! [SY283: $i] :
( ( irel @ SY286 @ SY283 )
=> ( b2 @ SY283 ) ) ) ) ) )
= $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(14,plain,
( ( ! [SY357: $i] :
( ~ ! [SY358: $i] :
( ( irel @ SY357 @ SY358 )
=> ( b2 @ SY358 ) )
| ! [SY359: $i] :
( ( irel @ SY357 @ SY359 )
=> ( ! [SY353: $i] :
( ( irel @ SY359 @ SY353 )
=> ( ! [SY331: $i] :
( ( irel @ SY353 @ SY331 )
=> ( b3 @ SY331 ) )
| ! [SY332: $i] :
( ( irel @ SY353 @ SY332 )
=> ( a3 @ SY332 ) ) ) )
| ! [SY356: $i] :
( ( irel @ SY359 @ SY356 )
=> ( b3 @ SY356 ) ) ) ) ) )
= $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(15,plain,
( ( ! [SY371: $i] : ( a4 @ SY371 ) )
= $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(16,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( irel @ X @ Y )
& ( irel @ Y @ Z ) )
=> ( irel @ X @ Z ) ) )
= $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(17,plain,
( ( ! [X: $i] : ( irel @ X @ X ) )
= $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(18,plain,
( ( ! [SY377: $i] :
( ( irel @ sK1_SY88 @ SY377 )
=> ( a @ SY377 ) )
| ! [SY378: $i] :
( ( irel @ sK1_SY88 @ SY378 )
=> ( ! [SY82: $i] :
( ( irel @ SY378 @ SY82 )
=> ( ( b @ SY82 )
& ( a1 @ SY82 ) ) )
| ! [SY83: $i] :
( ( irel @ SY378 @ SY83 )
=> ( ! [SY75: $i] :
( ( irel @ SY83 @ SY75 )
=> ( ( b1 @ SY75 )
& ( a2 @ SY75 ) ) )
| ! [SY76: $i] :
( ( irel @ SY83 @ SY76 )
=> ( ! [SY70: $i] :
( ( irel @ SY76 @ SY70 )
=> ( ( b2 @ SY70 )
& ( a3 @ SY70 ) ) )
| ! [SY71: $i] :
( ( irel @ SY76 @ SY71 )
=> ( ( b3 @ SY71 )
& ( a4 @ SY71 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(19,plain,
( ( ~ ( ! [SY377: $i] :
( ( irel @ sK1_SY88 @ SY377 )
=> ( a @ SY377 ) )
| ! [SY378: $i] :
( ( irel @ sK1_SY88 @ SY378 )
=> ( ! [SY82: $i] :
( ( irel @ SY378 @ SY82 )
=> ( ( b @ SY82 )
& ( a1 @ SY82 ) ) )
| ! [SY83: $i] :
( ( irel @ SY378 @ SY83 )
=> ( ! [SY75: $i] :
( ( irel @ SY83 @ SY75 )
=> ( ( b1 @ SY75 )
& ( a2 @ SY75 ) ) )
| ! [SY76: $i] :
( ( irel @ SY83 @ SY76 )
=> ( ! [SY70: $i] :
( ( irel @ SY76 @ SY70 )
=> ( ( b2 @ SY70 )
& ( a3 @ SY70 ) ) )
| ! [SY71: $i] :
( ( irel @ SY76 @ SY71 )
=> ( ( b3 @ SY71 )
& ( a4 @ SY71 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[18]) ).
thf(20,plain,
( ( ( irel @ sK1_SY88 @ sK9_SY377 )
& ~ ( a @ sK9_SY377 )
& ( irel @ sK1_SY88 @ sK2_SY378 )
& ( irel @ sK2_SY378 @ sK8_SY385 )
& ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) )
& ( irel @ sK2_SY378 @ sK3_SY386 )
& ( irel @ sK3_SY386 @ sK7_SY391 )
& ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) )
& ( irel @ sK3_SY386 @ sK4_SY392 )
& ( irel @ sK4_SY392 @ sK6_SY395 )
& ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) )
& ( irel @ sK4_SY392 @ sK5_SY396 )
& ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(21,plain,
( ( ! [SY142: $i] :
( ! [SY143: $i] :
( ~ ( irel @ SY142 @ SY143 )
| ! [SY123: $i] :
( ~ ( irel @ SY143 @ SY123 )
| ( b @ SY123 ) )
| ! [SY124: $i] :
( ~ ( irel @ SY143 @ SY124 )
| ( a @ SY124 ) ) )
| ! [SY146: $i] :
( ~ ( irel @ SY142 @ SY146 )
| ( b @ SY146 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(22,plain,
( ( ! [SY211: $i] :
( ( ( irel @ SY211 @ ( sK10_SY212 @ SY211 ) )
& ~ ( b @ ( sK10_SY212 @ SY211 ) ) )
| ! [SY213: $i] :
( ~ ( irel @ SY211 @ SY213 )
| ! [SY207: $i] :
( ~ ( irel @ SY213 @ SY207 )
| ! [SY185: $i] :
( ~ ( irel @ SY207 @ SY185 )
| ( b1 @ SY185 ) )
| ! [SY186: $i] :
( ~ ( irel @ SY207 @ SY186 )
| ( a1 @ SY186 ) ) )
| ! [SY210: $i] :
( ~ ( irel @ SY213 @ SY210 )
| ( b1 @ SY210 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(23,plain,
( ( ! [SY284: $i] :
( ( ( irel @ SY284 @ ( sK11_SY285 @ SY284 ) )
& ~ ( b1 @ ( sK11_SY285 @ SY284 ) ) )
| ! [SY286: $i] :
( ~ ( irel @ SY284 @ SY286 )
| ! [SY280: $i] :
( ~ ( irel @ SY286 @ SY280 )
| ! [SY258: $i] :
( ~ ( irel @ SY280 @ SY258 )
| ( b2 @ SY258 ) )
| ! [SY259: $i] :
( ~ ( irel @ SY280 @ SY259 )
| ( a2 @ SY259 ) ) )
| ! [SY283: $i] :
( ~ ( irel @ SY286 @ SY283 )
| ( b2 @ SY283 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(24,plain,
( ( ! [SY357: $i] :
( ( ( irel @ SY357 @ ( sK12_SY358 @ SY357 ) )
& ~ ( b2 @ ( sK12_SY358 @ SY357 ) ) )
| ! [SY359: $i] :
( ~ ( irel @ SY357 @ SY359 )
| ! [SY353: $i] :
( ~ ( irel @ SY359 @ SY353 )
| ! [SY331: $i] :
( ~ ( irel @ SY353 @ SY331 )
| ( b3 @ SY331 ) )
| ! [SY332: $i] :
( ~ ( irel @ SY353 @ SY332 )
| ( a3 @ SY332 ) ) )
| ! [SY356: $i] :
( ~ ( irel @ SY359 @ SY356 )
| ( b3 @ SY356 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(25,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( irel @ X @ Y )
| ~ ( irel @ Y @ Z )
| ( irel @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(26,plain,
( ( ! [X: $i] : ( irel @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( irel @ X @ Y )
| ~ ( irel @ Y @ Z )
| ( irel @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(28,plain,
( ( ! [SY371: $i] : ( a4 @ SY371 ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(29,plain,
( ( ! [SY357: $i] :
( ( ( irel @ SY357 @ ( sK12_SY358 @ SY357 ) )
& ~ ( b2 @ ( sK12_SY358 @ SY357 ) ) )
| ! [SY359: $i] :
( ~ ( irel @ SY357 @ SY359 )
| ! [SY353: $i] :
( ~ ( irel @ SY359 @ SY353 )
| ! [SY331: $i] :
( ~ ( irel @ SY353 @ SY331 )
| ( b3 @ SY331 ) )
| ! [SY332: $i] :
( ~ ( irel @ SY353 @ SY332 )
| ( a3 @ SY332 ) ) )
| ! [SY356: $i] :
( ~ ( irel @ SY359 @ SY356 )
| ( b3 @ SY356 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(30,plain,
( ( ! [SY284: $i] :
( ( ( irel @ SY284 @ ( sK11_SY285 @ SY284 ) )
& ~ ( b1 @ ( sK11_SY285 @ SY284 ) ) )
| ! [SY286: $i] :
( ~ ( irel @ SY284 @ SY286 )
| ! [SY280: $i] :
( ~ ( irel @ SY286 @ SY280 )
| ! [SY258: $i] :
( ~ ( irel @ SY280 @ SY258 )
| ( b2 @ SY258 ) )
| ! [SY259: $i] :
( ~ ( irel @ SY280 @ SY259 )
| ( a2 @ SY259 ) ) )
| ! [SY283: $i] :
( ~ ( irel @ SY286 @ SY283 )
| ( b2 @ SY283 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(31,plain,
( ( ! [SY211: $i] :
( ( ( irel @ SY211 @ ( sK10_SY212 @ SY211 ) )
& ~ ( b @ ( sK10_SY212 @ SY211 ) ) )
| ! [SY213: $i] :
( ~ ( irel @ SY211 @ SY213 )
| ! [SY207: $i] :
( ~ ( irel @ SY213 @ SY207 )
| ! [SY185: $i] :
( ~ ( irel @ SY207 @ SY185 )
| ( b1 @ SY185 ) )
| ! [SY186: $i] :
( ~ ( irel @ SY207 @ SY186 )
| ( a1 @ SY186 ) ) )
| ! [SY210: $i] :
( ~ ( irel @ SY213 @ SY210 )
| ( b1 @ SY210 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(32,plain,
( ( ! [SY142: $i] :
( ! [SY143: $i] :
( ~ ( irel @ SY142 @ SY143 )
| ! [SY123: $i] :
( ~ ( irel @ SY143 @ SY123 )
| ( b @ SY123 ) )
| ! [SY124: $i] :
( ~ ( irel @ SY143 @ SY124 )
| ( a @ SY124 ) ) )
| ! [SY146: $i] :
( ~ ( irel @ SY142 @ SY146 )
| ( b @ SY146 ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(33,plain,
( ( ( irel @ sK1_SY88 @ sK9_SY377 )
& ~ ( a @ sK9_SY377 )
& ( irel @ sK1_SY88 @ sK2_SY378 )
& ( irel @ sK2_SY378 @ sK8_SY385 )
& ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) )
& ( irel @ sK2_SY378 @ sK3_SY386 )
& ( irel @ sK3_SY386 @ sK7_SY391 )
& ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) )
& ( irel @ sK3_SY386 @ sK4_SY392 )
& ( irel @ sK4_SY392 @ sK6_SY395 )
& ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) )
& ( irel @ sK4_SY392 @ sK5_SY396 )
& ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(34,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( irel @ SX0 @ ( sK12_SY358 @ SX0 ) )
| ~ ~ ( b2 @ ( sK12_SY358 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( b3 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(35,plain,
( ( ~ ( ~ ~ ( ~ ( irel @ sK1_SY88 @ sK9_SY377 )
| ~ ~ ( a @ sK9_SY377 ) )
| ~ ~ ( ~ ( irel @ sK1_SY88 @ sK2_SY378 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK2_SY378 @ sK8_SY385 )
| ~ ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) ) )
| ~ ~ ( ~ ( irel @ sK2_SY378 @ sK3_SY386 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
| ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) ) ) ) ) ) )
= $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(36,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( irel @ SX0 @ ( sK10_SY212 @ SX0 ) )
| ~ ~ ( b @ ( sK10_SY212 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( b1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(37,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( irel @ SX0 @ ( sK11_SY285 @ SX0 ) )
| ~ ~ ( b1 @ ( sK11_SY285 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( b2 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(38,plain,
! [SV1: $i] :
( ( irel @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(39,plain,
! [SV2: $i] :
( ( ! [SY397: $i,SY398: $i] :
( ~ ( irel @ SV2 @ SY397 )
| ~ ( irel @ SY397 @ SY398 )
| ( irel @ SV2 @ SY398 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(40,plain,
! [SV3: $i] :
( ( a4 @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(41,plain,
! [SV4: $i] :
( ( ! [SY399: $i] :
( ~ ( irel @ SV4 @ SY399 )
| ! [SY123: $i] :
( ~ ( irel @ SY399 @ SY123 )
| ( b @ SY123 ) )
| ! [SY124: $i] :
( ~ ( irel @ SY399 @ SY124 )
| ( a @ SY124 ) ) )
| ! [SY402: $i] :
( ~ ( irel @ SV4 @ SY402 )
| ( b @ SY402 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(42,plain,
! [SV5: $i] :
( ( ~ ( ~ ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
| ~ ~ ( b2 @ ( sK12_SY358 @ SV5 ) ) )
| ! [SY403: $i] :
( ~ ( irel @ SV5 @ SY403 )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ( b3 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(43,plain,
( ( ~ ~ ( ~ ( irel @ sK1_SY88 @ sK9_SY377 )
| ~ ~ ( a @ sK9_SY377 ) )
| ~ ~ ( ~ ( irel @ sK1_SY88 @ sK2_SY378 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK2_SY378 @ sK8_SY385 )
| ~ ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) ) )
| ~ ~ ( ~ ( irel @ sK2_SY378 @ sK3_SY386 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
| ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(44,plain,
! [SV6: $i] :
( ( ~ ( ~ ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
| ~ ~ ( b @ ( sK10_SY212 @ SV6 ) ) )
| ! [SY408: $i] :
( ~ ( irel @ SV6 @ SY408 )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ( b1 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(45,plain,
! [SV7: $i] :
( ( ~ ( ~ ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
| ~ ~ ( b1 @ ( sK11_SY285 @ SV7 ) ) )
| ! [SY413: $i] :
( ~ ( irel @ SV7 @ SY413 )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ( b2 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(46,plain,
! [SV8: $i,SV2: $i] :
( ( ! [SY418: $i] :
( ~ ( irel @ SV2 @ SV8 )
| ~ ( irel @ SV8 @ SY418 )
| ( irel @ SV2 @ SY418 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(47,plain,
! [SV4: $i] :
( ( ( ! [SY399: $i] :
( ~ ( irel @ SV4 @ SY399 )
| ! [SY123: $i] :
( ~ ( irel @ SY399 @ SY123 )
| ( b @ SY123 ) )
| ! [SY124: $i] :
( ~ ( irel @ SY399 @ SY124 )
| ( a @ SY124 ) ) ) )
= $true )
| ( ( ! [SY402: $i] :
( ~ ( irel @ SV4 @ SY402 )
| ( b @ SY402 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(48,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
| ~ ~ ( b2 @ ( sK12_SY358 @ SV5 ) ) ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ( irel @ SV5 @ SY403 )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ( b3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(49,plain,
( ( ~ ~ ( ~ ( irel @ sK1_SY88 @ sK9_SY377 )
| ~ ~ ( a @ sK9_SY377 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(50,plain,
( ( ~ ~ ( ~ ( irel @ sK1_SY88 @ sK2_SY378 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK2_SY378 @ sK8_SY385 )
| ~ ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) ) )
| ~ ~ ( ~ ( irel @ sK2_SY378 @ sK3_SY386 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
| ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(51,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
| ~ ~ ( b @ ( sK10_SY212 @ SV6 ) ) ) )
= $true )
| ( ( ! [SY408: $i] :
( ~ ( irel @ SV6 @ SY408 )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ( b1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(52,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
| ~ ~ ( b1 @ ( sK11_SY285 @ SV7 ) ) ) )
= $true )
| ( ( ! [SY413: $i] :
( ~ ( irel @ SV7 @ SY413 )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ( b2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(53,plain,
! [SV9: $i,SV8: $i,SV2: $i] :
( ( ~ ( irel @ SV2 @ SV8 )
| ~ ( irel @ SV8 @ SV9 )
| ( irel @ SV2 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(54,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( irel @ SV4 @ SV10 )
| ! [SY419: $i] :
( ~ ( irel @ SV10 @ SY419 )
| ( b @ SY419 ) )
| ! [SY420: $i] :
( ~ ( irel @ SV10 @ SY420 )
| ( a @ SY420 ) ) )
= $true )
| ( ( ! [SY402: $i] :
( ~ ( irel @ SV4 @ SY402 )
| ( b @ SY402 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(55,plain,
! [SV5: $i] :
( ( ( ~ ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
| ~ ~ ( b2 @ ( sK12_SY358 @ SV5 ) ) )
= $false )
| ( ( ! [SY403: $i] :
( ~ ( irel @ SV5 @ SY403 )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ( b3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(56,plain,
( ( ~ ( ~ ( irel @ sK1_SY88 @ sK9_SY377 )
| ~ ~ ( a @ sK9_SY377 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(57,plain,
( ( ~ ( ~ ( irel @ sK1_SY88 @ sK2_SY378 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK2_SY378 @ sK8_SY385 )
| ~ ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) ) )
| ~ ~ ( ~ ( irel @ sK2_SY378 @ sK3_SY386 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
| ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(58,plain,
! [SV6: $i] :
( ( ( ~ ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
| ~ ~ ( b @ ( sK10_SY212 @ SV6 ) ) )
= $false )
| ( ( ! [SY408: $i] :
( ~ ( irel @ SV6 @ SY408 )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ( b1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(59,plain,
! [SV7: $i] :
( ( ( ~ ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
| ~ ~ ( b1 @ ( sK11_SY285 @ SV7 ) ) )
= $false )
| ( ( ! [SY413: $i] :
( ~ ( irel @ SV7 @ SY413 )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ( b2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(60,plain,
! [SV9: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( irel @ SV2 @ SV8 )
| ~ ( irel @ SV8 @ SV9 ) )
= $true )
| ( ( irel @ SV2 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( irel @ SV4 @ SV10 ) )
= $true )
| ( ( ! [SY419: $i] :
( ~ ( irel @ SV10 @ SY419 )
| ( b @ SY419 ) )
| ! [SY420: $i] :
( ~ ( irel @ SV10 @ SY420 )
| ( a @ SY420 ) ) )
= $true )
| ( ( ! [SY402: $i] :
( ~ ( irel @ SV4 @ SY402 )
| ( b @ SY402 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(62,plain,
! [SV5: $i] :
( ( ( ~ ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) ) )
= $false )
| ( ( ! [SY403: $i] :
( ~ ( irel @ SV5 @ SY403 )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ( b3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(63,plain,
! [SV5: $i] :
( ( ( ~ ~ ( b2 @ ( sK12_SY358 @ SV5 ) ) )
= $false )
| ( ( ! [SY403: $i] :
( ~ ( irel @ SV5 @ SY403 )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ( b3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(64,plain,
( ( ~ ( irel @ sK1_SY88 @ sK9_SY377 )
| ~ ~ ( a @ sK9_SY377 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(65,plain,
( ( ~ ( irel @ sK1_SY88 @ sK2_SY378 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK2_SY378 @ sK8_SY385 )
| ~ ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) ) )
| ~ ~ ( ~ ( irel @ sK2_SY378 @ sK3_SY386 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
| ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(66,plain,
! [SV6: $i] :
( ( ( ~ ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) ) )
= $false )
| ( ( ! [SY408: $i] :
( ~ ( irel @ SV6 @ SY408 )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ( b1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(67,plain,
! [SV6: $i] :
( ( ( ~ ~ ( b @ ( sK10_SY212 @ SV6 ) ) )
= $false )
| ( ( ! [SY408: $i] :
( ~ ( irel @ SV6 @ SY408 )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ( b1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(68,plain,
! [SV7: $i] :
( ( ( ~ ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) ) )
= $false )
| ( ( ! [SY413: $i] :
( ~ ( irel @ SV7 @ SY413 )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ( b2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(69,plain,
! [SV7: $i] :
( ( ( ~ ~ ( b1 @ ( sK11_SY285 @ SV7 ) ) )
= $false )
| ( ( ! [SY413: $i] :
( ~ ( irel @ SV7 @ SY413 )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ( b2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(70,plain,
! [SV9: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( irel @ SV2 @ SV8 ) )
= $true )
| ( ( ~ ( irel @ SV8 @ SV9 ) )
= $true )
| ( ( irel @ SV2 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(71,plain,
! [SV10: $i,SV4: $i] :
( ( ( irel @ SV4 @ SV10 )
= $false )
| ( ( ! [SY419: $i] :
( ~ ( irel @ SV10 @ SY419 )
| ( b @ SY419 ) )
| ! [SY420: $i] :
( ~ ( irel @ SV10 @ SY420 )
| ( a @ SY420 ) ) )
= $true )
| ( ( ! [SY402: $i] :
( ~ ( irel @ SV4 @ SY402 )
| ( b @ SY402 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(72,plain,
! [SV5: $i] :
( ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ( irel @ SV5 @ SY403 )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ( b3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(73,plain,
! [SV5: $i] :
( ( ( ~ ( b2 @ ( sK12_SY358 @ SV5 ) ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ( irel @ SV5 @ SY403 )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ( b3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(74,plain,
( ( ~ ( irel @ sK1_SY88 @ sK9_SY377 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(75,plain,
( ( ~ ~ ( a @ sK9_SY377 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(76,plain,
( ( ~ ( irel @ sK1_SY88 @ sK2_SY378 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(77,plain,
( ( ~ ~ ( ~ ~ ( ~ ( irel @ sK2_SY378 @ sK8_SY385 )
| ~ ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) ) )
| ~ ~ ( ~ ( irel @ sK2_SY378 @ sK3_SY386 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
| ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(78,plain,
! [SV6: $i] :
( ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true )
| ( ( ! [SY408: $i] :
( ~ ( irel @ SV6 @ SY408 )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ( b1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(79,plain,
! [SV6: $i] :
( ( ( ~ ( b @ ( sK10_SY212 @ SV6 ) ) )
= $true )
| ( ( ! [SY408: $i] :
( ~ ( irel @ SV6 @ SY408 )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ( b1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(80,plain,
! [SV7: $i] :
( ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true )
| ( ( ! [SY413: $i] :
( ~ ( irel @ SV7 @ SY413 )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ( b2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(81,plain,
! [SV7: $i] :
( ( ( ~ ( b1 @ ( sK11_SY285 @ SV7 ) ) )
= $true )
| ( ( ! [SY413: $i] :
( ~ ( irel @ SV7 @ SY413 )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ( b2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(82,plain,
! [SV9: $i,SV8: $i,SV2: $i] :
( ( ( irel @ SV2 @ SV8 )
= $false )
| ( ( ~ ( irel @ SV8 @ SV9 ) )
= $true )
| ( ( irel @ SV2 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(83,plain,
! [SV4: $i,SV10: $i] :
( ( ( ! [SY419: $i] :
( ~ ( irel @ SV10 @ SY419 )
| ( b @ SY419 ) ) )
= $true )
| ( ( ! [SY420: $i] :
( ~ ( irel @ SV10 @ SY420 )
| ( a @ SY420 ) ) )
= $true )
| ( ( irel @ SV4 @ SV10 )
= $false )
| ( ( ! [SY402: $i] :
( ~ ( irel @ SV4 @ SY402 )
| ( b @ SY402 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(84,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV11 )
| ! [SY421: $i] :
( ~ ( irel @ SV11 @ SY421 )
| ! [SX3: $i] :
( ~ ( irel @ SY421 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY421 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SY424: $i] :
( ~ ( irel @ SV11 @ SY424 )
| ( b3 @ SY424 ) ) )
= $true )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(85,plain,
! [SV5: $i] :
( ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false )
| ( ( ! [SY403: $i] :
( ~ ( irel @ SV5 @ SY403 )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY403 @ SX2 )
| ( b3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(86,plain,
( ( irel @ sK1_SY88 @ sK9_SY377 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(87,plain,
( ( ~ ( a @ sK9_SY377 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(88,plain,
( ( irel @ sK1_SY88 @ sK2_SY378 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(89,plain,
( ( ~ ( ~ ~ ( ~ ( irel @ sK2_SY378 @ sK8_SY385 )
| ~ ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) ) )
| ~ ~ ( ~ ( irel @ sK2_SY378 @ sK3_SY386 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
| ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(90,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV12 )
| ! [SY425: $i] :
( ~ ( irel @ SV12 @ SY425 )
| ! [SX3: $i] :
( ~ ( irel @ SY425 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY425 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SY428: $i] :
( ~ ( irel @ SV12 @ SY428 )
| ( b1 @ SY428 ) ) )
= $true )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(91,plain,
! [SV6: $i] :
( ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false )
| ( ( ! [SY408: $i] :
( ~ ( irel @ SV6 @ SY408 )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY408 @ SX2 )
| ( b1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(92,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV13 )
| ! [SY429: $i] :
( ~ ( irel @ SV13 @ SY429 )
| ! [SX3: $i] :
( ~ ( irel @ SY429 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY429 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SY432: $i] :
( ~ ( irel @ SV13 @ SY432 )
| ( b2 @ SY432 ) ) )
= $true )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(93,plain,
! [SV7: $i] :
( ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false )
| ( ( ! [SY413: $i] :
( ~ ( irel @ SV7 @ SY413 )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SX2 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( irel @ SY413 @ SX2 )
| ( b2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(94,plain,
! [SV2: $i,SV9: $i,SV8: $i] :
( ( ( irel @ SV8 @ SV9 )
= $false )
| ( ( irel @ SV2 @ SV8 )
= $false )
| ( ( irel @ SV2 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(95,plain,
! [SV4: $i,SV14: $i,SV10: $i] :
( ( ( ~ ( irel @ SV10 @ SV14 )
| ( b @ SV14 ) )
= $true )
| ( ( ! [SY420: $i] :
( ~ ( irel @ SV10 @ SY420 )
| ( a @ SY420 ) ) )
= $true )
| ( ( irel @ SV4 @ SV10 )
= $false )
| ( ( ! [SY402: $i] :
( ~ ( irel @ SV4 @ SY402 )
| ( b @ SY402 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(96,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV11 ) )
= $true )
| ( ( ! [SY421: $i] :
( ~ ( irel @ SV11 @ SY421 )
| ! [SX3: $i] :
( ~ ( irel @ SY421 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY421 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SY424: $i] :
( ~ ( irel @ SV11 @ SY424 )
| ( b3 @ SY424 ) ) )
= $true )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(97,plain,
! [SV15: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV15 )
| ! [SY433: $i] :
( ~ ( irel @ SV15 @ SY433 )
| ! [SX3: $i] :
( ~ ( irel @ SY433 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY433 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SY436: $i] :
( ~ ( irel @ SV15 @ SY436 )
| ( b3 @ SY436 ) ) )
= $true )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(98,plain,
( ( a @ sK9_SY377 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(99,plain,
( ( ~ ~ ( ~ ( irel @ sK2_SY378 @ sK8_SY385 )
| ~ ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) ) )
| ~ ~ ( ~ ( irel @ sK2_SY378 @ sK3_SY386 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
| ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(100,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV12 ) )
= $true )
| ( ( ! [SY425: $i] :
( ~ ( irel @ SV12 @ SY425 )
| ! [SX3: $i] :
( ~ ( irel @ SY425 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY425 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SY428: $i] :
( ~ ( irel @ SV12 @ SY428 )
| ( b1 @ SY428 ) ) )
= $true )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(101,plain,
! [SV16: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV16 )
| ! [SY437: $i] :
( ~ ( irel @ SV16 @ SY437 )
| ! [SX3: $i] :
( ~ ( irel @ SY437 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY437 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SY440: $i] :
( ~ ( irel @ SV16 @ SY440 )
| ( b1 @ SY440 ) ) )
= $true )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(102,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV13 ) )
= $true )
| ( ( ! [SY429: $i] :
( ~ ( irel @ SV13 @ SY429 )
| ! [SX3: $i] :
( ~ ( irel @ SY429 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY429 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SY432: $i] :
( ~ ( irel @ SV13 @ SY432 )
| ( b2 @ SY432 ) ) )
= $true )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(103,plain,
! [SV17: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV17 )
| ! [SY441: $i] :
( ~ ( irel @ SV17 @ SY441 )
| ! [SX3: $i] :
( ~ ( irel @ SY441 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY441 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SY444: $i] :
( ~ ( irel @ SV17 @ SY444 )
| ( b2 @ SY444 ) ) )
= $true )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(104,plain,
! [SV4: $i,SV14: $i,SV10: $i] :
( ( ( ~ ( irel @ SV10 @ SV14 ) )
= $true )
| ( ( b @ SV14 )
= $true )
| ( ( ! [SY420: $i] :
( ~ ( irel @ SV10 @ SY420 )
| ( a @ SY420 ) ) )
= $true )
| ( ( irel @ SV4 @ SV10 )
= $false )
| ( ( ! [SY402: $i] :
( ~ ( irel @ SV4 @ SY402 )
| ( b @ SY402 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(105,plain,
! [SV11: $i,SV5: $i] :
( ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( ! [SY421: $i] :
( ~ ( irel @ SV11 @ SY421 )
| ! [SX3: $i] :
( ~ ( irel @ SY421 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY421 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SY424: $i] :
( ~ ( irel @ SV11 @ SY424 )
| ( b3 @ SY424 ) ) )
= $true )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(106,plain,
! [SV15: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV15 ) )
= $true )
| ( ( ! [SY433: $i] :
( ~ ( irel @ SV15 @ SY433 )
| ! [SX3: $i] :
( ~ ( irel @ SY433 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY433 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SY436: $i] :
( ~ ( irel @ SV15 @ SY436 )
| ( b3 @ SY436 ) ) )
= $true )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(107,plain,
( ( ~ ~ ( ~ ( irel @ sK2_SY378 @ sK8_SY385 )
| ~ ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(108,plain,
( ( ~ ~ ( ~ ( irel @ sK2_SY378 @ sK3_SY386 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
| ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(109,plain,
! [SV12: $i,SV6: $i] :
( ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( ! [SY425: $i] :
( ~ ( irel @ SV12 @ SY425 )
| ! [SX3: $i] :
( ~ ( irel @ SY425 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY425 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SY428: $i] :
( ~ ( irel @ SV12 @ SY428 )
| ( b1 @ SY428 ) ) )
= $true )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(110,plain,
! [SV16: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV16 ) )
= $true )
| ( ( ! [SY437: $i] :
( ~ ( irel @ SV16 @ SY437 )
| ! [SX3: $i] :
( ~ ( irel @ SY437 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY437 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SY440: $i] :
( ~ ( irel @ SV16 @ SY440 )
| ( b1 @ SY440 ) ) )
= $true )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(111,plain,
! [SV13: $i,SV7: $i] :
( ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( ! [SY429: $i] :
( ~ ( irel @ SV13 @ SY429 )
| ! [SX3: $i] :
( ~ ( irel @ SY429 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY429 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SY432: $i] :
( ~ ( irel @ SV13 @ SY432 )
| ( b2 @ SY432 ) ) )
= $true )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(112,plain,
! [SV17: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV17 ) )
= $true )
| ( ( ! [SY441: $i] :
( ~ ( irel @ SV17 @ SY441 )
| ! [SX3: $i] :
( ~ ( irel @ SY441 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY441 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SY444: $i] :
( ~ ( irel @ SV17 @ SY444 )
| ( b2 @ SY444 ) ) )
= $true )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(113,plain,
! [SV4: $i,SV14: $i,SV10: $i] :
( ( ( irel @ SV10 @ SV14 )
= $false )
| ( ( b @ SV14 )
= $true )
| ( ( ! [SY420: $i] :
( ~ ( irel @ SV10 @ SY420 )
| ( a @ SY420 ) ) )
= $true )
| ( ( irel @ SV4 @ SV10 )
= $false )
| ( ( ! [SY402: $i] :
( ~ ( irel @ SV4 @ SY402 )
| ( b @ SY402 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(114,plain,
! [SV5: $i,SV11: $i] :
( ( ( ! [SY421: $i] :
( ~ ( irel @ SV11 @ SY421 )
| ! [SX3: $i] :
( ~ ( irel @ SY421 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY421 @ SX3 )
| ( a3 @ SX3 ) ) ) )
= $true )
| ( ( ! [SY424: $i] :
( ~ ( irel @ SV11 @ SY424 )
| ( b3 @ SY424 ) ) )
= $true )
| ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(115,plain,
! [SV15: $i,SV5: $i] :
( ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( ! [SY433: $i] :
( ~ ( irel @ SV15 @ SY433 )
| ! [SX3: $i] :
( ~ ( irel @ SY433 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY433 @ SX3 )
| ( a3 @ SX3 ) ) )
| ! [SY436: $i] :
( ~ ( irel @ SV15 @ SY436 )
| ( b3 @ SY436 ) ) )
= $true )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(116,plain,
( ( ~ ( ~ ( irel @ sK2_SY378 @ sK8_SY385 )
| ~ ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(117,plain,
( ( ~ ( ~ ( irel @ sK2_SY378 @ sK3_SY386 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
| ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(118,plain,
! [SV6: $i,SV12: $i] :
( ( ( ! [SY425: $i] :
( ~ ( irel @ SV12 @ SY425 )
| ! [SX3: $i] :
( ~ ( irel @ SY425 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY425 @ SX3 )
| ( a1 @ SX3 ) ) ) )
= $true )
| ( ( ! [SY428: $i] :
( ~ ( irel @ SV12 @ SY428 )
| ( b1 @ SY428 ) ) )
= $true )
| ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(119,plain,
! [SV16: $i,SV6: $i] :
( ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( ! [SY437: $i] :
( ~ ( irel @ SV16 @ SY437 )
| ! [SX3: $i] :
( ~ ( irel @ SY437 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY437 @ SX3 )
| ( a1 @ SX3 ) ) )
| ! [SY440: $i] :
( ~ ( irel @ SV16 @ SY440 )
| ( b1 @ SY440 ) ) )
= $true )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(120,plain,
! [SV7: $i,SV13: $i] :
( ( ( ! [SY429: $i] :
( ~ ( irel @ SV13 @ SY429 )
| ! [SX3: $i] :
( ~ ( irel @ SY429 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY429 @ SX3 )
| ( a2 @ SX3 ) ) ) )
= $true )
| ( ( ! [SY432: $i] :
( ~ ( irel @ SV13 @ SY432 )
| ( b2 @ SY432 ) ) )
= $true )
| ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(121,plain,
! [SV17: $i,SV7: $i] :
( ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( ! [SY441: $i] :
( ~ ( irel @ SV17 @ SY441 )
| ! [SX3: $i] :
( ~ ( irel @ SY441 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY441 @ SX3 )
| ( a2 @ SX3 ) ) )
| ! [SY444: $i] :
( ~ ( irel @ SV17 @ SY444 )
| ( b2 @ SY444 ) ) )
= $true )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(122,plain,
! [SV4: $i,SV14: $i,SV18: $i,SV10: $i] :
( ( ( ~ ( irel @ SV10 @ SV18 )
| ( a @ SV18 ) )
= $true )
| ( ( b @ SV14 )
= $true )
| ( ( irel @ SV10 @ SV14 )
= $false )
| ( ( irel @ SV4 @ SV10 )
= $false )
| ( ( ! [SY402: $i] :
( ~ ( irel @ SV4 @ SY402 )
| ( b @ SY402 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(123,plain,
! [SV5: $i,SV19: $i,SV11: $i] :
( ( ( ~ ( irel @ SV11 @ SV19 )
| ! [SY445: $i] :
( ~ ( irel @ SV19 @ SY445 )
| ( b3 @ SY445 ) )
| ! [SY446: $i] :
( ~ ( irel @ SV19 @ SY446 )
| ( a3 @ SY446 ) ) )
= $true )
| ( ( ! [SY424: $i] :
( ~ ( irel @ SV11 @ SY424 )
| ( b3 @ SY424 ) ) )
= $true )
| ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(124,plain,
! [SV5: $i,SV15: $i] :
( ( ( ! [SY433: $i] :
( ~ ( irel @ SV15 @ SY433 )
| ! [SX3: $i] :
( ~ ( irel @ SY433 @ SX3 )
| ( b3 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY433 @ SX3 )
| ( a3 @ SX3 ) ) ) )
= $true )
| ( ( ! [SY436: $i] :
( ~ ( irel @ SV15 @ SY436 )
| ( b3 @ SY436 ) ) )
= $true )
| ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(125,plain,
( ( ~ ( irel @ sK2_SY378 @ sK8_SY385 )
| ~ ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(126,plain,
( ( ~ ( irel @ sK2_SY378 @ sK3_SY386 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
| ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(127,plain,
! [SV6: $i,SV20: $i,SV12: $i] :
( ( ( ~ ( irel @ SV12 @ SV20 )
| ! [SY447: $i] :
( ~ ( irel @ SV20 @ SY447 )
| ( b1 @ SY447 ) )
| ! [SY448: $i] :
( ~ ( irel @ SV20 @ SY448 )
| ( a1 @ SY448 ) ) )
= $true )
| ( ( ! [SY428: $i] :
( ~ ( irel @ SV12 @ SY428 )
| ( b1 @ SY428 ) ) )
= $true )
| ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(128,plain,
! [SV6: $i,SV16: $i] :
( ( ( ! [SY437: $i] :
( ~ ( irel @ SV16 @ SY437 )
| ! [SX3: $i] :
( ~ ( irel @ SY437 @ SX3 )
| ( b1 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY437 @ SX3 )
| ( a1 @ SX3 ) ) ) )
= $true )
| ( ( ! [SY440: $i] :
( ~ ( irel @ SV16 @ SY440 )
| ( b1 @ SY440 ) ) )
= $true )
| ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(129,plain,
! [SV7: $i,SV21: $i,SV13: $i] :
( ( ( ~ ( irel @ SV13 @ SV21 )
| ! [SY449: $i] :
( ~ ( irel @ SV21 @ SY449 )
| ( b2 @ SY449 ) )
| ! [SY450: $i] :
( ~ ( irel @ SV21 @ SY450 )
| ( a2 @ SY450 ) ) )
= $true )
| ( ( ! [SY432: $i] :
( ~ ( irel @ SV13 @ SY432 )
| ( b2 @ SY432 ) ) )
= $true )
| ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(130,plain,
! [SV7: $i,SV17: $i] :
( ( ( ! [SY441: $i] :
( ~ ( irel @ SV17 @ SY441 )
| ! [SX3: $i] :
( ~ ( irel @ SY441 @ SX3 )
| ( b2 @ SX3 ) )
| ! [SX3: $i] :
( ~ ( irel @ SY441 @ SX3 )
| ( a2 @ SX3 ) ) ) )
= $true )
| ( ( ! [SY444: $i] :
( ~ ( irel @ SV17 @ SY444 )
| ( b2 @ SY444 ) ) )
= $true )
| ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(131,plain,
! [SV4: $i,SV14: $i,SV18: $i,SV10: $i] :
( ( ( ~ ( irel @ SV10 @ SV18 ) )
= $true )
| ( ( a @ SV18 )
= $true )
| ( ( b @ SV14 )
= $true )
| ( ( irel @ SV10 @ SV14 )
= $false )
| ( ( irel @ SV4 @ SV10 )
= $false )
| ( ( ! [SY402: $i] :
( ~ ( irel @ SV4 @ SY402 )
| ( b @ SY402 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(132,plain,
! [SV5: $i,SV19: $i,SV11: $i] :
( ( ( ~ ( irel @ SV11 @ SV19 ) )
= $true )
| ( ( ! [SY445: $i] :
( ~ ( irel @ SV19 @ SY445 )
| ( b3 @ SY445 ) )
| ! [SY446: $i] :
( ~ ( irel @ SV19 @ SY446 )
| ( a3 @ SY446 ) ) )
= $true )
| ( ( ! [SY424: $i] :
( ~ ( irel @ SV11 @ SY424 )
| ( b3 @ SY424 ) ) )
= $true )
| ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(133,plain,
! [SV5: $i,SV22: $i,SV15: $i] :
( ( ( ~ ( irel @ SV15 @ SV22 )
| ! [SY451: $i] :
( ~ ( irel @ SV22 @ SY451 )
| ( b3 @ SY451 ) )
| ! [SY452: $i] :
( ~ ( irel @ SV22 @ SY452 )
| ( a3 @ SY452 ) ) )
= $true )
| ( ( ! [SY436: $i] :
( ~ ( irel @ SV15 @ SY436 )
| ( b3 @ SY436 ) ) )
= $true )
| ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(134,plain,
( ( ~ ( irel @ sK2_SY378 @ sK8_SY385 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(135,plain,
( ( ~ ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(136,plain,
( ( ~ ( irel @ sK2_SY378 @ sK3_SY386 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(137,plain,
( ( ~ ~ ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
| ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(138,plain,
! [SV6: $i,SV20: $i,SV12: $i] :
( ( ( ~ ( irel @ SV12 @ SV20 ) )
= $true )
| ( ( ! [SY447: $i] :
( ~ ( irel @ SV20 @ SY447 )
| ( b1 @ SY447 ) )
| ! [SY448: $i] :
( ~ ( irel @ SV20 @ SY448 )
| ( a1 @ SY448 ) ) )
= $true )
| ( ( ! [SY428: $i] :
( ~ ( irel @ SV12 @ SY428 )
| ( b1 @ SY428 ) ) )
= $true )
| ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(139,plain,
! [SV6: $i,SV23: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ SV23 )
| ! [SY453: $i] :
( ~ ( irel @ SV23 @ SY453 )
| ( b1 @ SY453 ) )
| ! [SY454: $i] :
( ~ ( irel @ SV23 @ SY454 )
| ( a1 @ SY454 ) ) )
= $true )
| ( ( ! [SY440: $i] :
( ~ ( irel @ SV16 @ SY440 )
| ( b1 @ SY440 ) ) )
= $true )
| ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(140,plain,
! [SV7: $i,SV21: $i,SV13: $i] :
( ( ( ~ ( irel @ SV13 @ SV21 ) )
= $true )
| ( ( ! [SY449: $i] :
( ~ ( irel @ SV21 @ SY449 )
| ( b2 @ SY449 ) )
| ! [SY450: $i] :
( ~ ( irel @ SV21 @ SY450 )
| ( a2 @ SY450 ) ) )
= $true )
| ( ( ! [SY432: $i] :
( ~ ( irel @ SV13 @ SY432 )
| ( b2 @ SY432 ) ) )
= $true )
| ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(141,plain,
! [SV7: $i,SV24: $i,SV17: $i] :
( ( ( ~ ( irel @ SV17 @ SV24 )
| ! [SY455: $i] :
( ~ ( irel @ SV24 @ SY455 )
| ( b2 @ SY455 ) )
| ! [SY456: $i] :
( ~ ( irel @ SV24 @ SY456 )
| ( a2 @ SY456 ) ) )
= $true )
| ( ( ! [SY444: $i] :
( ~ ( irel @ SV17 @ SY444 )
| ( b2 @ SY444 ) ) )
= $true )
| ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(142,plain,
! [SV4: $i,SV14: $i,SV18: $i,SV10: $i] :
( ( ( irel @ SV10 @ SV18 )
= $false )
| ( ( a @ SV18 )
= $true )
| ( ( b @ SV14 )
= $true )
| ( ( irel @ SV10 @ SV14 )
= $false )
| ( ( irel @ SV4 @ SV10 )
= $false )
| ( ( ! [SY402: $i] :
( ~ ( irel @ SV4 @ SY402 )
| ( b @ SY402 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(143,plain,
! [SV5: $i,SV19: $i,SV11: $i] :
( ( ( irel @ SV11 @ SV19 )
= $false )
| ( ( ! [SY445: $i] :
( ~ ( irel @ SV19 @ SY445 )
| ( b3 @ SY445 ) )
| ! [SY446: $i] :
( ~ ( irel @ SV19 @ SY446 )
| ( a3 @ SY446 ) ) )
= $true )
| ( ( ! [SY424: $i] :
( ~ ( irel @ SV11 @ SY424 )
| ( b3 @ SY424 ) ) )
= $true )
| ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(144,plain,
! [SV5: $i,SV22: $i,SV15: $i] :
( ( ( ~ ( irel @ SV15 @ SV22 ) )
= $true )
| ( ( ! [SY451: $i] :
( ~ ( irel @ SV22 @ SY451 )
| ( b3 @ SY451 ) )
| ! [SY452: $i] :
( ~ ( irel @ SV22 @ SY452 )
| ( a3 @ SY452 ) ) )
= $true )
| ( ( ! [SY436: $i] :
( ~ ( irel @ SV15 @ SY436 )
| ( b3 @ SY436 ) ) )
= $true )
| ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(145,plain,
( ( irel @ sK2_SY378 @ sK8_SY385 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(146,plain,
( ( ~ ( a1 @ sK8_SY385 )
| ~ ( b @ sK8_SY385 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(147,plain,
( ( irel @ sK2_SY378 @ sK3_SY386 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(148,plain,
( ( ~ ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
| ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(149,plain,
! [SV6: $i,SV20: $i,SV12: $i] :
( ( ( irel @ SV12 @ SV20 )
= $false )
| ( ( ! [SY447: $i] :
( ~ ( irel @ SV20 @ SY447 )
| ( b1 @ SY447 ) )
| ! [SY448: $i] :
( ~ ( irel @ SV20 @ SY448 )
| ( a1 @ SY448 ) ) )
= $true )
| ( ( ! [SY428: $i] :
( ~ ( irel @ SV12 @ SY428 )
| ( b1 @ SY428 ) ) )
= $true )
| ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(150,plain,
! [SV6: $i,SV23: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ SV23 ) )
= $true )
| ( ( ! [SY453: $i] :
( ~ ( irel @ SV23 @ SY453 )
| ( b1 @ SY453 ) )
| ! [SY454: $i] :
( ~ ( irel @ SV23 @ SY454 )
| ( a1 @ SY454 ) ) )
= $true )
| ( ( ! [SY440: $i] :
( ~ ( irel @ SV16 @ SY440 )
| ( b1 @ SY440 ) ) )
= $true )
| ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(151,plain,
! [SV7: $i,SV21: $i,SV13: $i] :
( ( ( irel @ SV13 @ SV21 )
= $false )
| ( ( ! [SY449: $i] :
( ~ ( irel @ SV21 @ SY449 )
| ( b2 @ SY449 ) )
| ! [SY450: $i] :
( ~ ( irel @ SV21 @ SY450 )
| ( a2 @ SY450 ) ) )
= $true )
| ( ( ! [SY432: $i] :
( ~ ( irel @ SV13 @ SY432 )
| ( b2 @ SY432 ) ) )
= $true )
| ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(152,plain,
! [SV7: $i,SV24: $i,SV17: $i] :
( ( ( ~ ( irel @ SV17 @ SV24 ) )
= $true )
| ( ( ! [SY455: $i] :
( ~ ( irel @ SV24 @ SY455 )
| ( b2 @ SY455 ) )
| ! [SY456: $i] :
( ~ ( irel @ SV24 @ SY456 )
| ( a2 @ SY456 ) ) )
= $true )
| ( ( ! [SY444: $i] :
( ~ ( irel @ SV17 @ SY444 )
| ( b2 @ SY444 ) ) )
= $true )
| ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(153,plain,
! [SV18: $i,SV14: $i,SV10: $i,SV25: $i,SV4: $i] :
( ( ( ~ ( irel @ SV4 @ SV25 )
| ( b @ SV25 ) )
= $true )
| ( ( irel @ SV4 @ SV10 )
= $false )
| ( ( irel @ SV10 @ SV14 )
= $false )
| ( ( b @ SV14 )
= $true )
| ( ( a @ SV18 )
= $true )
| ( ( irel @ SV10 @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(154,plain,
! [SV5: $i,SV11: $i,SV19: $i] :
( ( ( ! [SY445: $i] :
( ~ ( irel @ SV19 @ SY445 )
| ( b3 @ SY445 ) ) )
= $true )
| ( ( ! [SY446: $i] :
( ~ ( irel @ SV19 @ SY446 )
| ( a3 @ SY446 ) ) )
= $true )
| ( ( irel @ SV11 @ SV19 )
= $false )
| ( ( ! [SY424: $i] :
( ~ ( irel @ SV11 @ SY424 )
| ( b3 @ SY424 ) ) )
= $true )
| ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(155,plain,
! [SV5: $i,SV22: $i,SV15: $i] :
( ( ( irel @ SV15 @ SV22 )
= $false )
| ( ( ! [SY451: $i] :
( ~ ( irel @ SV22 @ SY451 )
| ( b3 @ SY451 ) )
| ! [SY452: $i] :
( ~ ( irel @ SV22 @ SY452 )
| ( a3 @ SY452 ) ) )
= $true )
| ( ( ! [SY436: $i] :
( ~ ( irel @ SV15 @ SY436 )
| ( b3 @ SY436 ) ) )
= $true )
| ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(156,plain,
( ( ( ~ ( a1 @ sK8_SY385 ) )
= $true )
| ( ( ~ ( b @ sK8_SY385 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(157,plain,
( ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
| ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(158,plain,
! [SV6: $i,SV12: $i,SV20: $i] :
( ( ( ! [SY447: $i] :
( ~ ( irel @ SV20 @ SY447 )
| ( b1 @ SY447 ) ) )
= $true )
| ( ( ! [SY448: $i] :
( ~ ( irel @ SV20 @ SY448 )
| ( a1 @ SY448 ) ) )
= $true )
| ( ( irel @ SV12 @ SV20 )
= $false )
| ( ( ! [SY428: $i] :
( ~ ( irel @ SV12 @ SY428 )
| ( b1 @ SY428 ) ) )
= $true )
| ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(159,plain,
! [SV6: $i,SV23: $i,SV16: $i] :
( ( ( irel @ SV16 @ SV23 )
= $false )
| ( ( ! [SY453: $i] :
( ~ ( irel @ SV23 @ SY453 )
| ( b1 @ SY453 ) )
| ! [SY454: $i] :
( ~ ( irel @ SV23 @ SY454 )
| ( a1 @ SY454 ) ) )
= $true )
| ( ( ! [SY440: $i] :
( ~ ( irel @ SV16 @ SY440 )
| ( b1 @ SY440 ) ) )
= $true )
| ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(160,plain,
! [SV7: $i,SV13: $i,SV21: $i] :
( ( ( ! [SY449: $i] :
( ~ ( irel @ SV21 @ SY449 )
| ( b2 @ SY449 ) ) )
= $true )
| ( ( ! [SY450: $i] :
( ~ ( irel @ SV21 @ SY450 )
| ( a2 @ SY450 ) ) )
= $true )
| ( ( irel @ SV13 @ SV21 )
= $false )
| ( ( ! [SY432: $i] :
( ~ ( irel @ SV13 @ SY432 )
| ( b2 @ SY432 ) ) )
= $true )
| ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(161,plain,
! [SV7: $i,SV24: $i,SV17: $i] :
( ( ( irel @ SV17 @ SV24 )
= $false )
| ( ( ! [SY455: $i] :
( ~ ( irel @ SV24 @ SY455 )
| ( b2 @ SY455 ) )
| ! [SY456: $i] :
( ~ ( irel @ SV24 @ SY456 )
| ( a2 @ SY456 ) ) )
= $true )
| ( ( ! [SY444: $i] :
( ~ ( irel @ SV17 @ SY444 )
| ( b2 @ SY444 ) ) )
= $true )
| ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(162,plain,
! [SV18: $i,SV14: $i,SV10: $i,SV25: $i,SV4: $i] :
( ( ( ~ ( irel @ SV4 @ SV25 ) )
= $true )
| ( ( b @ SV25 )
= $true )
| ( ( irel @ SV4 @ SV10 )
= $false )
| ( ( irel @ SV10 @ SV14 )
= $false )
| ( ( b @ SV14 )
= $true )
| ( ( a @ SV18 )
= $true )
| ( ( irel @ SV10 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(163,plain,
! [SV5: $i,SV11: $i,SV26: $i,SV19: $i] :
( ( ( ~ ( irel @ SV19 @ SV26 )
| ( b3 @ SV26 ) )
= $true )
| ( ( ! [SY446: $i] :
( ~ ( irel @ SV19 @ SY446 )
| ( a3 @ SY446 ) ) )
= $true )
| ( ( irel @ SV11 @ SV19 )
= $false )
| ( ( ! [SY424: $i] :
( ~ ( irel @ SV11 @ SY424 )
| ( b3 @ SY424 ) ) )
= $true )
| ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(164,plain,
! [SV5: $i,SV15: $i,SV22: $i] :
( ( ( ! [SY451: $i] :
( ~ ( irel @ SV22 @ SY451 )
| ( b3 @ SY451 ) ) )
= $true )
| ( ( ! [SY452: $i] :
( ~ ( irel @ SV22 @ SY452 )
| ( a3 @ SY452 ) ) )
= $true )
| ( ( irel @ SV15 @ SV22 )
= $false )
| ( ( ! [SY436: $i] :
( ~ ( irel @ SV15 @ SY436 )
| ( b3 @ SY436 ) ) )
= $true )
| ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(165,plain,
( ( ( a1 @ sK8_SY385 )
= $false )
| ( ( ~ ( b @ sK8_SY385 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(166,plain,
( ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(167,plain,
( ( ~ ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(168,plain,
! [SV6: $i,SV12: $i,SV27: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV27 )
| ( b1 @ SV27 ) )
= $true )
| ( ( ! [SY448: $i] :
( ~ ( irel @ SV20 @ SY448 )
| ( a1 @ SY448 ) ) )
= $true )
| ( ( irel @ SV12 @ SV20 )
= $false )
| ( ( ! [SY428: $i] :
( ~ ( irel @ SV12 @ SY428 )
| ( b1 @ SY428 ) ) )
= $true )
| ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(169,plain,
! [SV6: $i,SV16: $i,SV23: $i] :
( ( ( ! [SY453: $i] :
( ~ ( irel @ SV23 @ SY453 )
| ( b1 @ SY453 ) ) )
= $true )
| ( ( ! [SY454: $i] :
( ~ ( irel @ SV23 @ SY454 )
| ( a1 @ SY454 ) ) )
= $true )
| ( ( irel @ SV16 @ SV23 )
= $false )
| ( ( ! [SY440: $i] :
( ~ ( irel @ SV16 @ SY440 )
| ( b1 @ SY440 ) ) )
= $true )
| ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(170,plain,
! [SV7: $i,SV13: $i,SV28: $i,SV21: $i] :
( ( ( ~ ( irel @ SV21 @ SV28 )
| ( b2 @ SV28 ) )
= $true )
| ( ( ! [SY450: $i] :
( ~ ( irel @ SV21 @ SY450 )
| ( a2 @ SY450 ) ) )
= $true )
| ( ( irel @ SV13 @ SV21 )
= $false )
| ( ( ! [SY432: $i] :
( ~ ( irel @ SV13 @ SY432 )
| ( b2 @ SY432 ) ) )
= $true )
| ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(171,plain,
! [SV7: $i,SV17: $i,SV24: $i] :
( ( ( ! [SY455: $i] :
( ~ ( irel @ SV24 @ SY455 )
| ( b2 @ SY455 ) ) )
= $true )
| ( ( ! [SY456: $i] :
( ~ ( irel @ SV24 @ SY456 )
| ( a2 @ SY456 ) ) )
= $true )
| ( ( irel @ SV17 @ SV24 )
= $false )
| ( ( ! [SY444: $i] :
( ~ ( irel @ SV17 @ SY444 )
| ( b2 @ SY444 ) ) )
= $true )
| ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(172,plain,
! [SV18: $i,SV14: $i,SV10: $i,SV25: $i,SV4: $i] :
( ( ( irel @ SV4 @ SV25 )
= $false )
| ( ( b @ SV25 )
= $true )
| ( ( irel @ SV4 @ SV10 )
= $false )
| ( ( irel @ SV10 @ SV14 )
= $false )
| ( ( b @ SV14 )
= $true )
| ( ( a @ SV18 )
= $true )
| ( ( irel @ SV10 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(173,plain,
! [SV5: $i,SV11: $i,SV26: $i,SV19: $i] :
( ( ( ~ ( irel @ SV19 @ SV26 ) )
= $true )
| ( ( b3 @ SV26 )
= $true )
| ( ( ! [SY446: $i] :
( ~ ( irel @ SV19 @ SY446 )
| ( a3 @ SY446 ) ) )
= $true )
| ( ( irel @ SV11 @ SV19 )
= $false )
| ( ( ! [SY424: $i] :
( ~ ( irel @ SV11 @ SY424 )
| ( b3 @ SY424 ) ) )
= $true )
| ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(174,plain,
! [SV5: $i,SV15: $i,SV29: $i,SV22: $i] :
( ( ( ~ ( irel @ SV22 @ SV29 )
| ( b3 @ SV29 ) )
= $true )
| ( ( ! [SY452: $i] :
( ~ ( irel @ SV22 @ SY452 )
| ( a3 @ SY452 ) ) )
= $true )
| ( ( irel @ SV15 @ SV22 )
= $false )
| ( ( ! [SY436: $i] :
( ~ ( irel @ SV15 @ SY436 )
| ( b3 @ SY436 ) ) )
= $true )
| ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(175,plain,
( ( ( b @ sK8_SY385 )
= $false )
| ( ( a1 @ sK8_SY385 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(176,plain,
( ( ~ ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(177,plain,
( ( ~ ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(178,plain,
! [SV6: $i,SV12: $i,SV27: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV27 ) )
= $true )
| ( ( b1 @ SV27 )
= $true )
| ( ( ! [SY448: $i] :
( ~ ( irel @ SV20 @ SY448 )
| ( a1 @ SY448 ) ) )
= $true )
| ( ( irel @ SV12 @ SV20 )
= $false )
| ( ( ! [SY428: $i] :
( ~ ( irel @ SV12 @ SY428 )
| ( b1 @ SY428 ) ) )
= $true )
| ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(179,plain,
! [SV6: $i,SV16: $i,SV30: $i,SV23: $i] :
( ( ( ~ ( irel @ SV23 @ SV30 )
| ( b1 @ SV30 ) )
= $true )
| ( ( ! [SY454: $i] :
( ~ ( irel @ SV23 @ SY454 )
| ( a1 @ SY454 ) ) )
= $true )
| ( ( irel @ SV16 @ SV23 )
= $false )
| ( ( ! [SY440: $i] :
( ~ ( irel @ SV16 @ SY440 )
| ( b1 @ SY440 ) ) )
= $true )
| ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(180,plain,
! [SV7: $i,SV13: $i,SV28: $i,SV21: $i] :
( ( ( ~ ( irel @ SV21 @ SV28 ) )
= $true )
| ( ( b2 @ SV28 )
= $true )
| ( ( ! [SY450: $i] :
( ~ ( irel @ SV21 @ SY450 )
| ( a2 @ SY450 ) ) )
= $true )
| ( ( irel @ SV13 @ SV21 )
= $false )
| ( ( ! [SY432: $i] :
( ~ ( irel @ SV13 @ SY432 )
| ( b2 @ SY432 ) ) )
= $true )
| ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(181,plain,
! [SV7: $i,SV17: $i,SV31: $i,SV24: $i] :
( ( ( ~ ( irel @ SV24 @ SV31 )
| ( b2 @ SV31 ) )
= $true )
| ( ( ! [SY456: $i] :
( ~ ( irel @ SV24 @ SY456 )
| ( a2 @ SY456 ) ) )
= $true )
| ( ( irel @ SV17 @ SV24 )
= $false )
| ( ( ! [SY444: $i] :
( ~ ( irel @ SV17 @ SY444 )
| ( b2 @ SY444 ) ) )
= $true )
| ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(182,plain,
! [SV5: $i,SV11: $i,SV26: $i,SV19: $i] :
( ( ( irel @ SV19 @ SV26 )
= $false )
| ( ( b3 @ SV26 )
= $true )
| ( ( ! [SY446: $i] :
( ~ ( irel @ SV19 @ SY446 )
| ( a3 @ SY446 ) ) )
= $true )
| ( ( irel @ SV11 @ SV19 )
= $false )
| ( ( ! [SY424: $i] :
( ~ ( irel @ SV11 @ SY424 )
| ( b3 @ SY424 ) ) )
= $true )
| ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(183,plain,
! [SV5: $i,SV15: $i,SV29: $i,SV22: $i] :
( ( ( ~ ( irel @ SV22 @ SV29 ) )
= $true )
| ( ( b3 @ SV29 )
= $true )
| ( ( ! [SY452: $i] :
( ~ ( irel @ SV22 @ SY452 )
| ( a3 @ SY452 ) ) )
= $true )
| ( ( irel @ SV15 @ SV22 )
= $false )
| ( ( ! [SY436: $i] :
( ~ ( irel @ SV15 @ SY436 )
| ( b3 @ SY436 ) ) )
= $true )
| ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(184,plain,
( ( ~ ( irel @ sK3_SY386 @ sK7_SY391 )
| ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(185,plain,
( ( ~ ( irel @ sK3_SY386 @ sK4_SY392 )
| ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(186,plain,
! [SV6: $i,SV12: $i,SV27: $i,SV20: $i] :
( ( ( irel @ SV20 @ SV27 )
= $false )
| ( ( b1 @ SV27 )
= $true )
| ( ( ! [SY448: $i] :
( ~ ( irel @ SV20 @ SY448 )
| ( a1 @ SY448 ) ) )
= $true )
| ( ( irel @ SV12 @ SV20 )
= $false )
| ( ( ! [SY428: $i] :
( ~ ( irel @ SV12 @ SY428 )
| ( b1 @ SY428 ) ) )
= $true )
| ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(187,plain,
! [SV6: $i,SV16: $i,SV30: $i,SV23: $i] :
( ( ( ~ ( irel @ SV23 @ SV30 ) )
= $true )
| ( ( b1 @ SV30 )
= $true )
| ( ( ! [SY454: $i] :
( ~ ( irel @ SV23 @ SY454 )
| ( a1 @ SY454 ) ) )
= $true )
| ( ( irel @ SV16 @ SV23 )
= $false )
| ( ( ! [SY440: $i] :
( ~ ( irel @ SV16 @ SY440 )
| ( b1 @ SY440 ) ) )
= $true )
| ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(188,plain,
! [SV7: $i,SV13: $i,SV28: $i,SV21: $i] :
( ( ( irel @ SV21 @ SV28 )
= $false )
| ( ( b2 @ SV28 )
= $true )
| ( ( ! [SY450: $i] :
( ~ ( irel @ SV21 @ SY450 )
| ( a2 @ SY450 ) ) )
= $true )
| ( ( irel @ SV13 @ SV21 )
= $false )
| ( ( ! [SY432: $i] :
( ~ ( irel @ SV13 @ SY432 )
| ( b2 @ SY432 ) ) )
= $true )
| ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(189,plain,
! [SV7: $i,SV17: $i,SV31: $i,SV24: $i] :
( ( ( ~ ( irel @ SV24 @ SV31 ) )
= $true )
| ( ( b2 @ SV31 )
= $true )
| ( ( ! [SY456: $i] :
( ~ ( irel @ SV24 @ SY456 )
| ( a2 @ SY456 ) ) )
= $true )
| ( ( irel @ SV17 @ SV24 )
= $false )
| ( ( ! [SY444: $i] :
( ~ ( irel @ SV17 @ SY444 )
| ( b2 @ SY444 ) ) )
= $true )
| ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(190,plain,
! [SV5: $i,SV11: $i,SV26: $i,SV32: $i,SV19: $i] :
( ( ( ~ ( irel @ SV19 @ SV32 )
| ( a3 @ SV32 ) )
= $true )
| ( ( b3 @ SV26 )
= $true )
| ( ( irel @ SV19 @ SV26 )
= $false )
| ( ( irel @ SV11 @ SV19 )
= $false )
| ( ( ! [SY424: $i] :
( ~ ( irel @ SV11 @ SY424 )
| ( b3 @ SY424 ) ) )
= $true )
| ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(191,plain,
! [SV5: $i,SV15: $i,SV29: $i,SV22: $i] :
( ( ( irel @ SV22 @ SV29 )
= $false )
| ( ( b3 @ SV29 )
= $true )
| ( ( ! [SY452: $i] :
( ~ ( irel @ SV22 @ SY452 )
| ( a3 @ SY452 ) ) )
= $true )
| ( ( irel @ SV15 @ SV22 )
= $false )
| ( ( ! [SY436: $i] :
( ~ ( irel @ SV15 @ SY436 )
| ( b3 @ SY436 ) ) )
= $true )
| ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(192,plain,
( ( ~ ( irel @ sK3_SY386 @ sK7_SY391 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(193,plain,
( ( ~ ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(194,plain,
( ( ~ ( irel @ sK3_SY386 @ sK4_SY392 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(195,plain,
( ( ~ ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(196,plain,
! [SV6: $i,SV12: $i,SV27: $i,SV33: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV33 )
| ( a1 @ SV33 ) )
= $true )
| ( ( b1 @ SV27 )
= $true )
| ( ( irel @ SV20 @ SV27 )
= $false )
| ( ( irel @ SV12 @ SV20 )
= $false )
| ( ( ! [SY428: $i] :
( ~ ( irel @ SV12 @ SY428 )
| ( b1 @ SY428 ) ) )
= $true )
| ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(197,plain,
! [SV6: $i,SV16: $i,SV30: $i,SV23: $i] :
( ( ( irel @ SV23 @ SV30 )
= $false )
| ( ( b1 @ SV30 )
= $true )
| ( ( ! [SY454: $i] :
( ~ ( irel @ SV23 @ SY454 )
| ( a1 @ SY454 ) ) )
= $true )
| ( ( irel @ SV16 @ SV23 )
= $false )
| ( ( ! [SY440: $i] :
( ~ ( irel @ SV16 @ SY440 )
| ( b1 @ SY440 ) ) )
= $true )
| ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(198,plain,
! [SV7: $i,SV13: $i,SV28: $i,SV34: $i,SV21: $i] :
( ( ( ~ ( irel @ SV21 @ SV34 )
| ( a2 @ SV34 ) )
= $true )
| ( ( b2 @ SV28 )
= $true )
| ( ( irel @ SV21 @ SV28 )
= $false )
| ( ( irel @ SV13 @ SV21 )
= $false )
| ( ( ! [SY432: $i] :
( ~ ( irel @ SV13 @ SY432 )
| ( b2 @ SY432 ) ) )
= $true )
| ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(199,plain,
! [SV7: $i,SV17: $i,SV31: $i,SV24: $i] :
( ( ( irel @ SV24 @ SV31 )
= $false )
| ( ( b2 @ SV31 )
= $true )
| ( ( ! [SY456: $i] :
( ~ ( irel @ SV24 @ SY456 )
| ( a2 @ SY456 ) ) )
= $true )
| ( ( irel @ SV17 @ SV24 )
= $false )
| ( ( ! [SY444: $i] :
( ~ ( irel @ SV17 @ SY444 )
| ( b2 @ SY444 ) ) )
= $true )
| ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(200,plain,
! [SV5: $i,SV11: $i,SV26: $i,SV32: $i,SV19: $i] :
( ( ( ~ ( irel @ SV19 @ SV32 ) )
= $true )
| ( ( a3 @ SV32 )
= $true )
| ( ( b3 @ SV26 )
= $true )
| ( ( irel @ SV19 @ SV26 )
= $false )
| ( ( irel @ SV11 @ SV19 )
= $false )
| ( ( ! [SY424: $i] :
( ~ ( irel @ SV11 @ SY424 )
| ( b3 @ SY424 ) ) )
= $true )
| ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(201,plain,
! [SV5: $i,SV15: $i,SV29: $i,SV35: $i,SV22: $i] :
( ( ( ~ ( irel @ SV22 @ SV35 )
| ( a3 @ SV35 ) )
= $true )
| ( ( b3 @ SV29 )
= $true )
| ( ( irel @ SV22 @ SV29 )
= $false )
| ( ( irel @ SV15 @ SV22 )
= $false )
| ( ( ! [SY436: $i] :
( ~ ( irel @ SV15 @ SY436 )
| ( b3 @ SY436 ) ) )
= $true )
| ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(202,plain,
( ( irel @ sK3_SY386 @ sK7_SY391 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(203,plain,
( ( ~ ( a2 @ sK7_SY391 )
| ~ ( b1 @ sK7_SY391 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(204,plain,
( ( irel @ sK3_SY386 @ sK4_SY392 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(205,plain,
( ( ~ ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(206,plain,
! [SV6: $i,SV12: $i,SV27: $i,SV33: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV33 ) )
= $true )
| ( ( a1 @ SV33 )
= $true )
| ( ( b1 @ SV27 )
= $true )
| ( ( irel @ SV20 @ SV27 )
= $false )
| ( ( irel @ SV12 @ SV20 )
= $false )
| ( ( ! [SY428: $i] :
( ~ ( irel @ SV12 @ SY428 )
| ( b1 @ SY428 ) ) )
= $true )
| ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(207,plain,
! [SV6: $i,SV16: $i,SV30: $i,SV36: $i,SV23: $i] :
( ( ( ~ ( irel @ SV23 @ SV36 )
| ( a1 @ SV36 ) )
= $true )
| ( ( b1 @ SV30 )
= $true )
| ( ( irel @ SV23 @ SV30 )
= $false )
| ( ( irel @ SV16 @ SV23 )
= $false )
| ( ( ! [SY440: $i] :
( ~ ( irel @ SV16 @ SY440 )
| ( b1 @ SY440 ) ) )
= $true )
| ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(208,plain,
! [SV7: $i,SV13: $i,SV28: $i,SV34: $i,SV21: $i] :
( ( ( ~ ( irel @ SV21 @ SV34 ) )
= $true )
| ( ( a2 @ SV34 )
= $true )
| ( ( b2 @ SV28 )
= $true )
| ( ( irel @ SV21 @ SV28 )
= $false )
| ( ( irel @ SV13 @ SV21 )
= $false )
| ( ( ! [SY432: $i] :
( ~ ( irel @ SV13 @ SY432 )
| ( b2 @ SY432 ) ) )
= $true )
| ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(209,plain,
! [SV7: $i,SV17: $i,SV31: $i,SV37: $i,SV24: $i] :
( ( ( ~ ( irel @ SV24 @ SV37 )
| ( a2 @ SV37 ) )
= $true )
| ( ( b2 @ SV31 )
= $true )
| ( ( irel @ SV24 @ SV31 )
= $false )
| ( ( irel @ SV17 @ SV24 )
= $false )
| ( ( ! [SY444: $i] :
( ~ ( irel @ SV17 @ SY444 )
| ( b2 @ SY444 ) ) )
= $true )
| ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(210,plain,
! [SV5: $i,SV11: $i,SV26: $i,SV32: $i,SV19: $i] :
( ( ( irel @ SV19 @ SV32 )
= $false )
| ( ( a3 @ SV32 )
= $true )
| ( ( b3 @ SV26 )
= $true )
| ( ( irel @ SV19 @ SV26 )
= $false )
| ( ( irel @ SV11 @ SV19 )
= $false )
| ( ( ! [SY424: $i] :
( ~ ( irel @ SV11 @ SY424 )
| ( b3 @ SY424 ) ) )
= $true )
| ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(211,plain,
! [SV5: $i,SV15: $i,SV29: $i,SV35: $i,SV22: $i] :
( ( ( ~ ( irel @ SV22 @ SV35 ) )
= $true )
| ( ( a3 @ SV35 )
= $true )
| ( ( b3 @ SV29 )
= $true )
| ( ( irel @ SV22 @ SV29 )
= $false )
| ( ( irel @ SV15 @ SV22 )
= $false )
| ( ( ! [SY436: $i] :
( ~ ( irel @ SV15 @ SY436 )
| ( b3 @ SY436 ) ) )
= $true )
| ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(212,plain,
( ( ( ~ ( a2 @ sK7_SY391 ) )
= $true )
| ( ( ~ ( b1 @ sK7_SY391 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(213,plain,
( ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
| ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(214,plain,
! [SV6: $i,SV12: $i,SV27: $i,SV33: $i,SV20: $i] :
( ( ( irel @ SV20 @ SV33 )
= $false )
| ( ( a1 @ SV33 )
= $true )
| ( ( b1 @ SV27 )
= $true )
| ( ( irel @ SV20 @ SV27 )
= $false )
| ( ( irel @ SV12 @ SV20 )
= $false )
| ( ( ! [SY428: $i] :
( ~ ( irel @ SV12 @ SY428 )
| ( b1 @ SY428 ) ) )
= $true )
| ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(215,plain,
! [SV6: $i,SV16: $i,SV30: $i,SV36: $i,SV23: $i] :
( ( ( ~ ( irel @ SV23 @ SV36 ) )
= $true )
| ( ( a1 @ SV36 )
= $true )
| ( ( b1 @ SV30 )
= $true )
| ( ( irel @ SV23 @ SV30 )
= $false )
| ( ( irel @ SV16 @ SV23 )
= $false )
| ( ( ! [SY440: $i] :
( ~ ( irel @ SV16 @ SY440 )
| ( b1 @ SY440 ) ) )
= $true )
| ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(216,plain,
! [SV7: $i,SV13: $i,SV28: $i,SV34: $i,SV21: $i] :
( ( ( irel @ SV21 @ SV34 )
= $false )
| ( ( a2 @ SV34 )
= $true )
| ( ( b2 @ SV28 )
= $true )
| ( ( irel @ SV21 @ SV28 )
= $false )
| ( ( irel @ SV13 @ SV21 )
= $false )
| ( ( ! [SY432: $i] :
( ~ ( irel @ SV13 @ SY432 )
| ( b2 @ SY432 ) ) )
= $true )
| ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(217,plain,
! [SV7: $i,SV17: $i,SV31: $i,SV37: $i,SV24: $i] :
( ( ( ~ ( irel @ SV24 @ SV37 ) )
= $true )
| ( ( a2 @ SV37 )
= $true )
| ( ( b2 @ SV31 )
= $true )
| ( ( irel @ SV24 @ SV31 )
= $false )
| ( ( irel @ SV17 @ SV24 )
= $false )
| ( ( ! [SY444: $i] :
( ~ ( irel @ SV17 @ SY444 )
| ( b2 @ SY444 ) ) )
= $true )
| ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(218,plain,
! [SV5: $i,SV32: $i,SV26: $i,SV19: $i,SV38: $i,SV11: $i] :
( ( ( ~ ( irel @ SV11 @ SV38 )
| ( b3 @ SV38 ) )
= $true )
| ( ( irel @ SV11 @ SV19 )
= $false )
| ( ( irel @ SV19 @ SV26 )
= $false )
| ( ( b3 @ SV26 )
= $true )
| ( ( a3 @ SV32 )
= $true )
| ( ( irel @ SV19 @ SV32 )
= $false )
| ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(219,plain,
! [SV5: $i,SV15: $i,SV29: $i,SV35: $i,SV22: $i] :
( ( ( irel @ SV22 @ SV35 )
= $false )
| ( ( a3 @ SV35 )
= $true )
| ( ( b3 @ SV29 )
= $true )
| ( ( irel @ SV22 @ SV29 )
= $false )
| ( ( irel @ SV15 @ SV22 )
= $false )
| ( ( ! [SY436: $i] :
( ~ ( irel @ SV15 @ SY436 )
| ( b3 @ SY436 ) ) )
= $true )
| ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(220,plain,
( ( ( a2 @ sK7_SY391 )
= $false )
| ( ( ~ ( b1 @ sK7_SY391 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(221,plain,
( ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(222,plain,
( ( ~ ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(223,plain,
! [SV6: $i,SV33: $i,SV27: $i,SV20: $i,SV39: $i,SV12: $i] :
( ( ( ~ ( irel @ SV12 @ SV39 )
| ( b1 @ SV39 ) )
= $true )
| ( ( irel @ SV12 @ SV20 )
= $false )
| ( ( irel @ SV20 @ SV27 )
= $false )
| ( ( b1 @ SV27 )
= $true )
| ( ( a1 @ SV33 )
= $true )
| ( ( irel @ SV20 @ SV33 )
= $false )
| ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(224,plain,
! [SV6: $i,SV16: $i,SV30: $i,SV36: $i,SV23: $i] :
( ( ( irel @ SV23 @ SV36 )
= $false )
| ( ( a1 @ SV36 )
= $true )
| ( ( b1 @ SV30 )
= $true )
| ( ( irel @ SV23 @ SV30 )
= $false )
| ( ( irel @ SV16 @ SV23 )
= $false )
| ( ( ! [SY440: $i] :
( ~ ( irel @ SV16 @ SY440 )
| ( b1 @ SY440 ) ) )
= $true )
| ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(225,plain,
! [SV7: $i,SV34: $i,SV28: $i,SV21: $i,SV40: $i,SV13: $i] :
( ( ( ~ ( irel @ SV13 @ SV40 )
| ( b2 @ SV40 ) )
= $true )
| ( ( irel @ SV13 @ SV21 )
= $false )
| ( ( irel @ SV21 @ SV28 )
= $false )
| ( ( b2 @ SV28 )
= $true )
| ( ( a2 @ SV34 )
= $true )
| ( ( irel @ SV21 @ SV34 )
= $false )
| ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(226,plain,
! [SV7: $i,SV17: $i,SV31: $i,SV37: $i,SV24: $i] :
( ( ( irel @ SV24 @ SV37 )
= $false )
| ( ( a2 @ SV37 )
= $true )
| ( ( b2 @ SV31 )
= $true )
| ( ( irel @ SV24 @ SV31 )
= $false )
| ( ( irel @ SV17 @ SV24 )
= $false )
| ( ( ! [SY444: $i] :
( ~ ( irel @ SV17 @ SY444 )
| ( b2 @ SY444 ) ) )
= $true )
| ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(227,plain,
! [SV5: $i,SV32: $i,SV26: $i,SV19: $i,SV38: $i,SV11: $i] :
( ( ( ~ ( irel @ SV11 @ SV38 ) )
= $true )
| ( ( b3 @ SV38 )
= $true )
| ( ( irel @ SV11 @ SV19 )
= $false )
| ( ( irel @ SV19 @ SV26 )
= $false )
| ( ( b3 @ SV26 )
= $true )
| ( ( a3 @ SV32 )
= $true )
| ( ( irel @ SV19 @ SV32 )
= $false )
| ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(228,plain,
! [SV5: $i,SV35: $i,SV29: $i,SV22: $i,SV41: $i,SV15: $i] :
( ( ( ~ ( irel @ SV15 @ SV41 )
| ( b3 @ SV41 ) )
= $true )
| ( ( irel @ SV15 @ SV22 )
= $false )
| ( ( irel @ SV22 @ SV29 )
= $false )
| ( ( b3 @ SV29 )
= $true )
| ( ( a3 @ SV35 )
= $true )
| ( ( irel @ SV22 @ SV35 )
= $false )
| ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(229,plain,
( ( ( b1 @ sK7_SY391 )
= $false )
| ( ( a2 @ sK7_SY391 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(230,plain,
( ( ~ ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(231,plain,
( ( ~ ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(232,plain,
! [SV6: $i,SV33: $i,SV27: $i,SV20: $i,SV39: $i,SV12: $i] :
( ( ( ~ ( irel @ SV12 @ SV39 ) )
= $true )
| ( ( b1 @ SV39 )
= $true )
| ( ( irel @ SV12 @ SV20 )
= $false )
| ( ( irel @ SV20 @ SV27 )
= $false )
| ( ( b1 @ SV27 )
= $true )
| ( ( a1 @ SV33 )
= $true )
| ( ( irel @ SV20 @ SV33 )
= $false )
| ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(233,plain,
! [SV6: $i,SV36: $i,SV30: $i,SV23: $i,SV42: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ SV42 )
| ( b1 @ SV42 ) )
= $true )
| ( ( irel @ SV16 @ SV23 )
= $false )
| ( ( irel @ SV23 @ SV30 )
= $false )
| ( ( b1 @ SV30 )
= $true )
| ( ( a1 @ SV36 )
= $true )
| ( ( irel @ SV23 @ SV36 )
= $false )
| ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(234,plain,
! [SV7: $i,SV34: $i,SV28: $i,SV21: $i,SV40: $i,SV13: $i] :
( ( ( ~ ( irel @ SV13 @ SV40 ) )
= $true )
| ( ( b2 @ SV40 )
= $true )
| ( ( irel @ SV13 @ SV21 )
= $false )
| ( ( irel @ SV21 @ SV28 )
= $false )
| ( ( b2 @ SV28 )
= $true )
| ( ( a2 @ SV34 )
= $true )
| ( ( irel @ SV21 @ SV34 )
= $false )
| ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(235,plain,
! [SV7: $i,SV37: $i,SV31: $i,SV24: $i,SV43: $i,SV17: $i] :
( ( ( ~ ( irel @ SV17 @ SV43 )
| ( b2 @ SV43 ) )
= $true )
| ( ( irel @ SV17 @ SV24 )
= $false )
| ( ( irel @ SV24 @ SV31 )
= $false )
| ( ( b2 @ SV31 )
= $true )
| ( ( a2 @ SV37 )
= $true )
| ( ( irel @ SV24 @ SV37 )
= $false )
| ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(236,plain,
! [SV5: $i,SV32: $i,SV26: $i,SV19: $i,SV38: $i,SV11: $i] :
( ( ( irel @ SV11 @ SV38 )
= $false )
| ( ( b3 @ SV38 )
= $true )
| ( ( irel @ SV11 @ SV19 )
= $false )
| ( ( irel @ SV19 @ SV26 )
= $false )
| ( ( b3 @ SV26 )
= $true )
| ( ( a3 @ SV32 )
= $true )
| ( ( irel @ SV19 @ SV32 )
= $false )
| ( ( irel @ SV5 @ SV11 )
= $false )
| ( ( irel @ SV5 @ ( sK12_SY358 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(237,plain,
! [SV5: $i,SV35: $i,SV29: $i,SV22: $i,SV41: $i,SV15: $i] :
( ( ( ~ ( irel @ SV15 @ SV41 ) )
= $true )
| ( ( b3 @ SV41 )
= $true )
| ( ( irel @ SV15 @ SV22 )
= $false )
| ( ( irel @ SV22 @ SV29 )
= $false )
| ( ( b3 @ SV29 )
= $true )
| ( ( a3 @ SV35 )
= $true )
| ( ( irel @ SV22 @ SV35 )
= $false )
| ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(238,plain,
( ( ~ ( irel @ sK4_SY392 @ sK6_SY395 )
| ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(239,plain,
( ( ~ ( irel @ sK4_SY392 @ sK5_SY396 )
| ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(240,plain,
! [SV6: $i,SV33: $i,SV27: $i,SV20: $i,SV39: $i,SV12: $i] :
( ( ( irel @ SV12 @ SV39 )
= $false )
| ( ( b1 @ SV39 )
= $true )
| ( ( irel @ SV12 @ SV20 )
= $false )
| ( ( irel @ SV20 @ SV27 )
= $false )
| ( ( b1 @ SV27 )
= $true )
| ( ( a1 @ SV33 )
= $true )
| ( ( irel @ SV20 @ SV33 )
= $false )
| ( ( irel @ SV6 @ SV12 )
= $false )
| ( ( irel @ SV6 @ ( sK10_SY212 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(241,plain,
! [SV6: $i,SV36: $i,SV30: $i,SV23: $i,SV42: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ SV42 ) )
= $true )
| ( ( b1 @ SV42 )
= $true )
| ( ( irel @ SV16 @ SV23 )
= $false )
| ( ( irel @ SV23 @ SV30 )
= $false )
| ( ( b1 @ SV30 )
= $true )
| ( ( a1 @ SV36 )
= $true )
| ( ( irel @ SV23 @ SV36 )
= $false )
| ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(242,plain,
! [SV7: $i,SV34: $i,SV28: $i,SV21: $i,SV40: $i,SV13: $i] :
( ( ( irel @ SV13 @ SV40 )
= $false )
| ( ( b2 @ SV40 )
= $true )
| ( ( irel @ SV13 @ SV21 )
= $false )
| ( ( irel @ SV21 @ SV28 )
= $false )
| ( ( b2 @ SV28 )
= $true )
| ( ( a2 @ SV34 )
= $true )
| ( ( irel @ SV21 @ SV34 )
= $false )
| ( ( irel @ SV7 @ SV13 )
= $false )
| ( ( irel @ SV7 @ ( sK11_SY285 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(243,plain,
! [SV7: $i,SV37: $i,SV31: $i,SV24: $i,SV43: $i,SV17: $i] :
( ( ( ~ ( irel @ SV17 @ SV43 ) )
= $true )
| ( ( b2 @ SV43 )
= $true )
| ( ( irel @ SV17 @ SV24 )
= $false )
| ( ( irel @ SV24 @ SV31 )
= $false )
| ( ( b2 @ SV31 )
= $true )
| ( ( a2 @ SV37 )
= $true )
| ( ( irel @ SV24 @ SV37 )
= $false )
| ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(244,plain,
! [SV5: $i,SV35: $i,SV29: $i,SV22: $i,SV41: $i,SV15: $i] :
( ( ( irel @ SV15 @ SV41 )
= $false )
| ( ( b3 @ SV41 )
= $true )
| ( ( irel @ SV15 @ SV22 )
= $false )
| ( ( irel @ SV22 @ SV29 )
= $false )
| ( ( b3 @ SV29 )
= $true )
| ( ( a3 @ SV35 )
= $true )
| ( ( irel @ SV22 @ SV35 )
= $false )
| ( ( irel @ SV5 @ SV15 )
= $false )
| ( ( b2 @ ( sK12_SY358 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(245,plain,
( ( ~ ( irel @ sK4_SY392 @ sK6_SY395 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(246,plain,
( ( ~ ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(247,plain,
( ( ~ ( irel @ sK4_SY392 @ sK5_SY396 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(248,plain,
( ( ~ ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(249,plain,
! [SV6: $i,SV36: $i,SV30: $i,SV23: $i,SV42: $i,SV16: $i] :
( ( ( irel @ SV16 @ SV42 )
= $false )
| ( ( b1 @ SV42 )
= $true )
| ( ( irel @ SV16 @ SV23 )
= $false )
| ( ( irel @ SV23 @ SV30 )
= $false )
| ( ( b1 @ SV30 )
= $true )
| ( ( a1 @ SV36 )
= $true )
| ( ( irel @ SV23 @ SV36 )
= $false )
| ( ( irel @ SV6 @ SV16 )
= $false )
| ( ( b @ ( sK10_SY212 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(250,plain,
! [SV7: $i,SV37: $i,SV31: $i,SV24: $i,SV43: $i,SV17: $i] :
( ( ( irel @ SV17 @ SV43 )
= $false )
| ( ( b2 @ SV43 )
= $true )
| ( ( irel @ SV17 @ SV24 )
= $false )
| ( ( irel @ SV24 @ SV31 )
= $false )
| ( ( b2 @ SV31 )
= $true )
| ( ( a2 @ SV37 )
= $true )
| ( ( irel @ SV24 @ SV37 )
= $false )
| ( ( irel @ SV7 @ SV17 )
= $false )
| ( ( b1 @ ( sK11_SY285 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(251,plain,
( ( irel @ sK4_SY392 @ sK6_SY395 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(252,plain,
( ( ~ ( a3 @ sK6_SY395 )
| ~ ( b2 @ sK6_SY395 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(253,plain,
( ( irel @ sK4_SY392 @ sK5_SY396 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(254,plain,
( ( ~ ( a4 @ sK5_SY396 )
| ~ ( b3 @ sK5_SY396 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(255,plain,
( ( ( ~ ( a3 @ sK6_SY395 ) )
= $true )
| ( ( ~ ( b2 @ sK6_SY395 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(256,plain,
( ( ( ~ ( a4 @ sK5_SY396 ) )
= $true )
| ( ( ~ ( b3 @ sK5_SY396 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(257,plain,
( ( ( a3 @ sK6_SY395 )
= $false )
| ( ( ~ ( b2 @ sK6_SY395 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(258,plain,
( ( ( a4 @ sK5_SY396 )
= $false )
| ( ( ~ ( b3 @ sK5_SY396 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(259,plain,
( ( ( b2 @ sK6_SY395 )
= $false )
| ( ( a3 @ sK6_SY395 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(260,plain,
( ( ( b3 @ sK5_SY396 )
= $false )
| ( ( a4 @ sK5_SY396 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(261,plain,
( ( ( a1 @ sK8_SY385 )
= $false )
| ( ( ( b @ sK8_SY385 )
= ( a1 @ sK8_SY385 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[175]) ).
thf(262,plain,
( ( ( a2 @ sK7_SY391 )
= $false )
| ( ( ( b1 @ sK7_SY391 )
= ( a2 @ sK7_SY391 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[229]) ).
thf(263,plain,
( ( ( a3 @ sK6_SY395 )
= $false )
| ( ( ( b2 @ sK6_SY395 )
= ( a3 @ sK6_SY395 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[259]) ).
thf(264,plain,
( ( ( a4 @ sK5_SY396 )
= $false )
| ( ( ( b3 @ sK5_SY396 )
= ( a4 @ sK5_SY396 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[260]) ).
thf(265,plain,
( ( ( ~ ( ( b @ sK8_SY385 )
| ( a1 @ sK8_SY385 ) )
| ~ ( ~ ( b @ sK8_SY385 )
| ~ ( a1 @ sK8_SY385 ) ) )
= $false )
| ( ( a1 @ sK8_SY385 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[261]) ).
thf(267,plain,
( ( ( ~ ( ( b1 @ sK7_SY391 )
| ( a2 @ sK7_SY391 ) )
| ~ ( ~ ( b1 @ sK7_SY391 )
| ~ ( a2 @ sK7_SY391 ) ) )
= $false )
| ( ( a2 @ sK7_SY391 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[262]) ).
thf(269,plain,
( ( ( ~ ( ( b2 @ sK6_SY395 )
| ( a3 @ sK6_SY395 ) )
| ~ ( ~ ( b2 @ sK6_SY395 )
| ~ ( a3 @ sK6_SY395 ) ) )
= $false )
| ( ( a3 @ sK6_SY395 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[263]) ).
thf(271,plain,
( ( ( ~ ( ( b3 @ sK5_SY396 )
| ( a4 @ sK5_SY396 ) )
| ~ ( ~ ( b3 @ sK5_SY396 )
| ~ ( a4 @ sK5_SY396 ) ) )
= $false )
| ( ( a4 @ sK5_SY396 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[264]) ).
thf(274,plain,
( ( ( ~ ( ~ ( b @ sK8_SY385 )
| ~ ( a1 @ sK8_SY385 ) ) )
= $false )
| ( ( a1 @ sK8_SY385 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(276,plain,
( ( ( ~ ( ~ ( b1 @ sK7_SY391 )
| ~ ( a2 @ sK7_SY391 ) ) )
= $false )
| ( ( a2 @ sK7_SY391 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(278,plain,
( ( ( ~ ( ~ ( b2 @ sK6_SY395 )
| ~ ( a3 @ sK6_SY395 ) ) )
= $false )
| ( ( a3 @ sK6_SY395 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(280,plain,
( ( ( ~ ( ~ ( b3 @ sK5_SY396 )
| ~ ( a4 @ sK5_SY396 ) ) )
= $false )
| ( ( a4 @ sK5_SY396 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(282,plain,
( ( ( ~ ( b @ sK8_SY385 )
| ~ ( a1 @ sK8_SY385 ) )
= $true )
| ( ( a1 @ sK8_SY385 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(284,plain,
( ( ( ~ ( b1 @ sK7_SY391 )
| ~ ( a2 @ sK7_SY391 ) )
= $true )
| ( ( a2 @ sK7_SY391 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(286,plain,
( ( ( ~ ( b2 @ sK6_SY395 )
| ~ ( a3 @ sK6_SY395 ) )
= $true )
| ( ( a3 @ sK6_SY395 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(288,plain,
( ( ( ~ ( b3 @ sK5_SY396 )
| ~ ( a4 @ sK5_SY396 ) )
= $true )
| ( ( a4 @ sK5_SY396 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(290,plain,
( ( ( ~ ( b @ sK8_SY385 ) )
= $true )
| ( ( ~ ( a1 @ sK8_SY385 ) )
= $true )
| ( ( a1 @ sK8_SY385 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(292,plain,
( ( ( ~ ( b1 @ sK7_SY391 ) )
= $true )
| ( ( ~ ( a2 @ sK7_SY391 ) )
= $true )
| ( ( a2 @ sK7_SY391 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(294,plain,
( ( ( ~ ( b2 @ sK6_SY395 ) )
= $true )
| ( ( ~ ( a3 @ sK6_SY395 ) )
= $true )
| ( ( a3 @ sK6_SY395 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(296,plain,
( ( ( ~ ( b3 @ sK5_SY396 ) )
= $true )
| ( ( ~ ( a4 @ sK5_SY396 ) )
= $true )
| ( ( a4 @ sK5_SY396 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(297,plain,
( ( ( b @ sK8_SY385 )
= $false )
| ( ( ~ ( a1 @ sK8_SY385 ) )
= $true )
| ( ( a1 @ sK8_SY385 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(298,plain,
( ( ( b1 @ sK7_SY391 )
= $false )
| ( ( ~ ( a2 @ sK7_SY391 ) )
= $true )
| ( ( a2 @ sK7_SY391 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(299,plain,
( ( ( b2 @ sK6_SY395 )
= $false )
| ( ( ~ ( a3 @ sK6_SY395 ) )
= $true )
| ( ( a3 @ sK6_SY395 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(300,plain,
( ( ( b3 @ sK5_SY396 )
= $false )
| ( ( ~ ( a4 @ sK5_SY396 ) )
= $true )
| ( ( a4 @ sK5_SY396 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(301,plain,
( ( ( a1 @ sK8_SY385 )
= $false )
| ( ( b @ sK8_SY385 )
= $false )
| ( ( a1 @ sK8_SY385 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(302,plain,
( ( ( a2 @ sK7_SY391 )
= $false )
| ( ( b1 @ sK7_SY391 )
= $false )
| ( ( a2 @ sK7_SY391 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(303,plain,
( ( ( a3 @ sK6_SY395 )
= $false )
| ( ( b2 @ sK6_SY395 )
= $false )
| ( ( a3 @ sK6_SY395 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(304,plain,
( ( ( a4 @ sK5_SY396 )
= $false )
| ( ( b3 @ sK5_SY396 )
= $false )
| ( ( a4 @ sK5_SY396 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(305,plain,
( ( ( a1 @ sK8_SY385 )
= $false )
| ( ( b @ sK8_SY385 )
= $false ) ),
inference(sim,[status(thm)],[301]) ).
thf(306,plain,
( ( ( a2 @ sK7_SY391 )
= $false )
| ( ( b1 @ sK7_SY391 )
= $false ) ),
inference(sim,[status(thm)],[302]) ).
thf(307,plain,
( ( ( a3 @ sK6_SY395 )
= $false )
| ( ( b2 @ sK6_SY395 )
= $false ) ),
inference(sim,[status(thm)],[303]) ).
thf(308,plain,
( ( ( a4 @ sK5_SY396 )
= $false )
| ( ( b3 @ sK5_SY396 )
= $false ) ),
inference(sim,[status(thm)],[304]) ).
thf(309,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[38,308,307,306,305,260,259,253,251,250,249,244,242,240,236,229,204,202,175,172,147,145,98,94,88,86,40]) ).
thf(310,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYO064^4.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Oct 6 17:32:00 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 211.33/35.59
% 211.33/35.59 No.of.Axioms: 7
% 211.33/35.59
% 211.33/35.59 Length.of.Defs: 2734
% 211.33/35.59
% 211.33/35.59 Contains.Choice.Funs: false
% 211.33/35.59 .............eprover: CPU time limit exceeded, terminating
% 211.33/35.59 .
% 211.33/35.59
% 211.33/35.59 ********************************
% 211.33/35.59 * All subproblems solved! *
% 211.33/35.59 ********************************
% 211.33/35.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:309,loop_count:0,foatp_calls:2,translation:fof_full)
% 211.33/35.59
% 211.33/35.59 %**** Beginning of derivation protocol ****
% 211.33/35.59 % SZS output start CNFRefutation
% See solution above
% 211.33/35.60
% 211.33/35.60 %**** End of derivation protocol ****
% 211.33/35.60 %**** no. of clauses in derivation: 294 ****
% 211.33/35.60 %**** clause counter: 309 ****
% 211.33/35.60
% 211.33/35.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:309,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------