%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO069^4.002 : 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 11:07:34 AM UTC 2026
% Result : Theorem 65.03s 11.10s
% Output : CNFRefutation 65.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 22
% Syntax : Number of formulae : 355 ( 111 unt; 0 typ; 19 def)
% Number of atoms : 4261 ( 903 equ; 0 cnn)
% Maximal formula atoms : 72 ( 12 avg)
% Number of connectives : 9009 (2225 ~;1739 |; 89 &;4825 @)
% ( 0 <=>; 131 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 47 ( 44 usr; 5 con; 0-3 aty)
% Number of variables : 1090 ( 31 ^;1057 !; 2 ?;1090 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a0,type,
a0: $i > $o ).
thf(tp_a1,type,
a1: $i > $o ).
thf(tp_a2,type,
a2: $i > $o ).
thf(tp_b0,type,
b0: $i > $o ).
thf(tp_b1,type,
b1: $i > $o ).
thf(tp_b2,type,
b2: $i > $o ).
thf(tp_f,type,
f: $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_SY852,type,
sK10_SY852: $i ).
thf(tp_sK11_SY618,type,
sK11_SY618: $i > $i ).
thf(tp_sK12_SY860,type,
sK12_SY860: $i > $i ).
thf(tp_sK13_SY622,type,
sK13_SY622: $i > $i ).
thf(tp_sK14_SY862,type,
sK14_SY862: $i > $i ).
thf(tp_sK15_SY630,type,
sK15_SY630: $i > $i ).
thf(tp_sK16_SY626,type,
sK16_SY626: $i > $i ).
thf(tp_sK17_SY864,type,
sK17_SY864: $i > $i ).
thf(tp_sK1_SY751,type,
sK1_SY751: $i ).
thf(tp_sK2_SY836,type,
sK2_SY836: $i ).
thf(tp_sK3_SY241,type,
sK3_SY241: $i > $i ).
thf(tp_sK4_SY243,type,
sK4_SY243: $i > $i ).
thf(tp_sK5_SY854,type,
sK5_SY854: $i > $i ).
thf(tp_sK6_SY251,type,
sK6_SY251: $i > $i ).
thf(tp_sK7_SY856,type,
sK7_SY856: $i > $i ).
thf(tp_sK8_SY247,type,
sK8_SY247: $i > $i ).
thf(tp_sK9_SY858,type,
sK9_SY858: $i > $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,
! [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(2,axiom,
! [X: $i] : ( irel @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom) ).
thf(3,conjecture,
ivalid @ ( iand @ ( iimplies @ ( iand @ ( iimplies @ ( iatom @ a0 ) @ ( iatom @ f ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b2 ) @ ( iatom @ b0 ) ) @ ( iatom @ a2 ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b0 ) @ ( iatom @ a1 ) ) @ ( iatom @ a0 ) ) @ ( iimplies @ ( iimplies @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) @ ( iatom @ a1 ) ) ) ) ) @ ( iatom @ f ) ) @ ( iimplies @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) @ ( iatom @ a1 ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b0 ) @ ( iatom @ a1 ) ) @ ( iatom @ a0 ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b2 ) @ ( iatom @ b0 ) ) @ ( iatom @ a2 ) ) @ ( iimplies @ ( iatom @ a0 ) @ ( iatom @ f ) ) ) ) ) @ ( iatom @ f ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(4,negated_conjecture,
( ( ivalid @ ( iand @ ( iimplies @ ( iand @ ( iimplies @ ( iatom @ a0 ) @ ( iatom @ f ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b2 ) @ ( iatom @ b0 ) ) @ ( iatom @ a2 ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b0 ) @ ( iatom @ a1 ) ) @ ( iatom @ a0 ) ) @ ( iimplies @ ( iimplies @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) @ ( iatom @ a1 ) ) ) ) ) @ ( iatom @ f ) ) @ ( iimplies @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) @ ( iatom @ a1 ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b0 ) @ ( iatom @ a1 ) ) @ ( iatom @ a0 ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b2 ) @ ( iatom @ b0 ) ) @ ( iatom @ a2 ) ) @ ( iimplies @ ( iatom @ a0 ) @ ( iatom @ f ) ) ) ) ) @ ( iatom @ f ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( ! [SY751: $i] :
( ( ~ ! [SY752: $i] :
( ( irel @ SY751 @ SY752 )
=> ( ( ~ ! [SY241: $i] :
( ( irel @ SY752 @ SY241 )
=> ( a0 @ SY241 ) )
| ! [SY242: $i] :
( ( irel @ SY752 @ SY242 )
=> ( f @ SY242 ) ) )
& ( ~ ! [SY243: $i] :
( ( irel @ SY752 @ SY243 )
=> ( ~ ! [SY49: $i] :
( ( irel @ SY243 @ SY49 )
=> ( b2 @ SY49 ) )
| ! [SY50: $i] :
( ( irel @ SY243 @ SY50 )
=> ( b0 @ SY50 ) ) ) )
| ! [SY246: $i] :
( ( irel @ SY752 @ SY246 )
=> ( a2 @ SY246 ) ) )
& ( ~ ! [SY247: $i] :
( ( irel @ SY752 @ SY247 )
=> ( ~ ! [SY111: $i] :
( ( irel @ SY247 @ SY111 )
=> ( b0 @ SY111 ) )
| ! [SY112: $i] :
( ( irel @ SY247 @ SY112 )
=> ( a1 @ SY112 ) ) ) )
| ! [SY250: $i] :
( ( irel @ SY752 @ SY250 )
=> ( a0 @ SY250 ) ) )
& ( ~ ! [SY251: $i] :
( ( irel @ SY752 @ SY251 )
=> ( ~ ! [SY173: $i] :
( ( irel @ SY251 @ SY173 )
=> ( b1 @ SY173 ) )
| ! [SY174: $i] :
( ( irel @ SY251 @ SY174 )
=> ( a2 @ SY174 ) ) ) )
| ! [SY254: $i] :
( ( irel @ SY752 @ SY254 )
=> ( a1 @ SY254 ) ) ) ) )
| ! [SY767: $i] :
( ( irel @ SY751 @ SY767 )
=> ( f @ SY767 ) ) )
& ( ~ ! [SY768: $i] :
( ( irel @ SY751 @ SY768 )
=> ( ( ~ ! [SY618: $i] :
( ( irel @ SY768 @ SY618 )
=> ( ~ ! [SY399: $i] :
( ( irel @ SY618 @ SY399 )
=> ( b1 @ SY399 ) )
| ! [SY400: $i] :
( ( irel @ SY618 @ SY400 )
=> ( a2 @ SY400 ) ) ) )
| ! [SY621: $i] :
( ( irel @ SY768 @ SY621 )
=> ( a1 @ SY621 ) ) )
& ( ~ ! [SY622: $i] :
( ( irel @ SY768 @ SY622 )
=> ( ~ ! [SY461: $i] :
( ( irel @ SY622 @ SY461 )
=> ( b0 @ SY461 ) )
| ! [SY462: $i] :
( ( irel @ SY622 @ SY462 )
=> ( a1 @ SY462 ) ) ) )
| ! [SY625: $i] :
( ( irel @ SY768 @ SY625 )
=> ( a0 @ SY625 ) ) )
& ( ~ ! [SY626: $i] :
( ( irel @ SY768 @ SY626 )
=> ( ~ ! [SY523: $i] :
( ( irel @ SY626 @ SY523 )
=> ( b2 @ SY523 ) )
| ! [SY524: $i] :
( ( irel @ SY626 @ SY524 )
=> ( b0 @ SY524 ) ) ) )
| ! [SY629: $i] :
( ( irel @ SY768 @ SY629 )
=> ( a2 @ SY629 ) ) )
& ( ~ ! [SY630: $i] :
( ( irel @ SY768 @ SY630 )
=> ( a0 @ SY630 ) )
| ! [SY631: $i] :
( ( irel @ SY768 @ SY631 )
=> ( f @ SY631 ) ) ) ) )
| ! [SY783: $i] :
( ( irel @ SY751 @ SY783 )
=> ( f @ SY783 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[4,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(6,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( irel @ X @ Y )
& ( irel @ Y @ Z ) )
=> ( irel @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(7,plain,
( ( ! [X: $i] : ( irel @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[2,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(8,plain,
( ( ( ~ ! [SY821: $i] :
( ( irel @ sK1_SY751 @ SY821 )
=> ( ( ~ ! [SY241: $i] :
( ( irel @ SY821 @ SY241 )
=> ( a0 @ SY241 ) )
| ! [SY242: $i] :
( ( irel @ SY821 @ SY242 )
=> ( f @ SY242 ) ) )
& ( ~ ! [SY243: $i] :
( ( irel @ SY821 @ SY243 )
=> ( ~ ! [SY49: $i] :
( ( irel @ SY243 @ SY49 )
=> ( b2 @ SY49 ) )
| ! [SY50: $i] :
( ( irel @ SY243 @ SY50 )
=> ( b0 @ SY50 ) ) ) )
| ! [SY246: $i] :
( ( irel @ SY821 @ SY246 )
=> ( a2 @ SY246 ) ) )
& ( ~ ! [SY247: $i] :
( ( irel @ SY821 @ SY247 )
=> ( ~ ! [SY111: $i] :
( ( irel @ SY247 @ SY111 )
=> ( b0 @ SY111 ) )
| ! [SY112: $i] :
( ( irel @ SY247 @ SY112 )
=> ( a1 @ SY112 ) ) ) )
| ! [SY250: $i] :
( ( irel @ SY821 @ SY250 )
=> ( a0 @ SY250 ) ) )
& ( ~ ! [SY251: $i] :
( ( irel @ SY821 @ SY251 )
=> ( ~ ! [SY173: $i] :
( ( irel @ SY251 @ SY173 )
=> ( b1 @ SY173 ) )
| ! [SY174: $i] :
( ( irel @ SY251 @ SY174 )
=> ( a2 @ SY174 ) ) ) )
| ! [SY254: $i] :
( ( irel @ SY821 @ SY254 )
=> ( a1 @ SY254 ) ) ) ) )
| ! [SY836: $i] :
( ( irel @ sK1_SY751 @ SY836 )
=> ( f @ SY836 ) ) )
& ( ~ ! [SY837: $i] :
( ( irel @ sK1_SY751 @ SY837 )
=> ( ( ~ ! [SY618: $i] :
( ( irel @ SY837 @ SY618 )
=> ( ~ ! [SY399: $i] :
( ( irel @ SY618 @ SY399 )
=> ( b1 @ SY399 ) )
| ! [SY400: $i] :
( ( irel @ SY618 @ SY400 )
=> ( a2 @ SY400 ) ) ) )
| ! [SY621: $i] :
( ( irel @ SY837 @ SY621 )
=> ( a1 @ SY621 ) ) )
& ( ~ ! [SY622: $i] :
( ( irel @ SY837 @ SY622 )
=> ( ~ ! [SY461: $i] :
( ( irel @ SY622 @ SY461 )
=> ( b0 @ SY461 ) )
| ! [SY462: $i] :
( ( irel @ SY622 @ SY462 )
=> ( a1 @ SY462 ) ) ) )
| ! [SY625: $i] :
( ( irel @ SY837 @ SY625 )
=> ( a0 @ SY625 ) ) )
& ( ~ ! [SY626: $i] :
( ( irel @ SY837 @ SY626 )
=> ( ~ ! [SY523: $i] :
( ( irel @ SY626 @ SY523 )
=> ( b2 @ SY523 ) )
| ! [SY524: $i] :
( ( irel @ SY626 @ SY524 )
=> ( b0 @ SY524 ) ) ) )
| ! [SY629: $i] :
( ( irel @ SY837 @ SY629 )
=> ( a2 @ SY629 ) ) )
& ( ~ ! [SY630: $i] :
( ( irel @ SY837 @ SY630 )
=> ( a0 @ SY630 ) )
| ! [SY631: $i] :
( ( irel @ SY837 @ SY631 )
=> ( f @ SY631 ) ) ) ) )
| ! [SY852: $i] :
( ( irel @ sK1_SY751 @ SY852 )
=> ( f @ SY852 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(9,plain,
( ( ~ ! [SY821: $i] :
( ( irel @ sK1_SY751 @ SY821 )
=> ( ( ~ ! [SY241: $i] :
( ( irel @ SY821 @ SY241 )
=> ( a0 @ SY241 ) )
| ! [SY242: $i] :
( ( irel @ SY821 @ SY242 )
=> ( f @ SY242 ) ) )
& ( ~ ! [SY243: $i] :
( ( irel @ SY821 @ SY243 )
=> ( ~ ! [SY49: $i] :
( ( irel @ SY243 @ SY49 )
=> ( b2 @ SY49 ) )
| ! [SY50: $i] :
( ( irel @ SY243 @ SY50 )
=> ( b0 @ SY50 ) ) ) )
| ! [SY246: $i] :
( ( irel @ SY821 @ SY246 )
=> ( a2 @ SY246 ) ) )
& ( ~ ! [SY247: $i] :
( ( irel @ SY821 @ SY247 )
=> ( ~ ! [SY111: $i] :
( ( irel @ SY247 @ SY111 )
=> ( b0 @ SY111 ) )
| ! [SY112: $i] :
( ( irel @ SY247 @ SY112 )
=> ( a1 @ SY112 ) ) ) )
| ! [SY250: $i] :
( ( irel @ SY821 @ SY250 )
=> ( a0 @ SY250 ) ) )
& ( ~ ! [SY251: $i] :
( ( irel @ SY821 @ SY251 )
=> ( ~ ! [SY173: $i] :
( ( irel @ SY251 @ SY173 )
=> ( b1 @ SY173 ) )
| ! [SY174: $i] :
( ( irel @ SY251 @ SY174 )
=> ( a2 @ SY174 ) ) ) )
| ! [SY254: $i] :
( ( irel @ SY821 @ SY254 )
=> ( a1 @ SY254 ) ) ) ) )
| ! [SY836: $i] :
( ( irel @ sK1_SY751 @ SY836 )
=> ( f @ SY836 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[8]) ).
thf(10,plain,
( ( ~ ! [SY837: $i] :
( ( irel @ sK1_SY751 @ SY837 )
=> ( ( ~ ! [SY618: $i] :
( ( irel @ SY837 @ SY618 )
=> ( ~ ! [SY399: $i] :
( ( irel @ SY618 @ SY399 )
=> ( b1 @ SY399 ) )
| ! [SY400: $i] :
( ( irel @ SY618 @ SY400 )
=> ( a2 @ SY400 ) ) ) )
| ! [SY621: $i] :
( ( irel @ SY837 @ SY621 )
=> ( a1 @ SY621 ) ) )
& ( ~ ! [SY622: $i] :
( ( irel @ SY837 @ SY622 )
=> ( ~ ! [SY461: $i] :
( ( irel @ SY622 @ SY461 )
=> ( b0 @ SY461 ) )
| ! [SY462: $i] :
( ( irel @ SY622 @ SY462 )
=> ( a1 @ SY462 ) ) ) )
| ! [SY625: $i] :
( ( irel @ SY837 @ SY625 )
=> ( a0 @ SY625 ) ) )
& ( ~ ! [SY626: $i] :
( ( irel @ SY837 @ SY626 )
=> ( ~ ! [SY523: $i] :
( ( irel @ SY626 @ SY523 )
=> ( b2 @ SY523 ) )
| ! [SY524: $i] :
( ( irel @ SY626 @ SY524 )
=> ( b0 @ SY524 ) ) ) )
| ! [SY629: $i] :
( ( irel @ SY837 @ SY629 )
=> ( a2 @ SY629 ) ) )
& ( ~ ! [SY630: $i] :
( ( irel @ SY837 @ SY630 )
=> ( a0 @ SY630 ) )
| ! [SY631: $i] :
( ( irel @ SY837 @ SY631 )
=> ( f @ SY631 ) ) ) ) )
| ! [SY852: $i] :
( ( irel @ sK1_SY751 @ SY852 )
=> ( f @ SY852 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[8]) ).
thf(11,plain,
( ( ~ ( ~ ! [SY821: $i] :
( ( irel @ sK1_SY751 @ SY821 )
=> ( ( ~ ! [SY241: $i] :
( ( irel @ SY821 @ SY241 )
=> ( a0 @ SY241 ) )
| ! [SY242: $i] :
( ( irel @ SY821 @ SY242 )
=> ( f @ SY242 ) ) )
& ( ~ ! [SY243: $i] :
( ( irel @ SY821 @ SY243 )
=> ( ~ ! [SY49: $i] :
( ( irel @ SY243 @ SY49 )
=> ( b2 @ SY49 ) )
| ! [SY50: $i] :
( ( irel @ SY243 @ SY50 )
=> ( b0 @ SY50 ) ) ) )
| ! [SY246: $i] :
( ( irel @ SY821 @ SY246 )
=> ( a2 @ SY246 ) ) )
& ( ~ ! [SY247: $i] :
( ( irel @ SY821 @ SY247 )
=> ( ~ ! [SY111: $i] :
( ( irel @ SY247 @ SY111 )
=> ( b0 @ SY111 ) )
| ! [SY112: $i] :
( ( irel @ SY247 @ SY112 )
=> ( a1 @ SY112 ) ) ) )
| ! [SY250: $i] :
( ( irel @ SY821 @ SY250 )
=> ( a0 @ SY250 ) ) )
& ( ~ ! [SY251: $i] :
( ( irel @ SY821 @ SY251 )
=> ( ~ ! [SY173: $i] :
( ( irel @ SY251 @ SY173 )
=> ( b1 @ SY173 ) )
| ! [SY174: $i] :
( ( irel @ SY251 @ SY174 )
=> ( a2 @ SY174 ) ) ) )
| ! [SY254: $i] :
( ( irel @ SY821 @ SY254 )
=> ( a1 @ SY254 ) ) ) ) )
| ! [SY836: $i] :
( ( irel @ sK1_SY751 @ SY836 )
=> ( f @ SY836 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ( ~ ! [SY837: $i] :
( ( irel @ sK1_SY751 @ SY837 )
=> ( ( ~ ! [SY618: $i] :
( ( irel @ SY837 @ SY618 )
=> ( ~ ! [SY399: $i] :
( ( irel @ SY618 @ SY399 )
=> ( b1 @ SY399 ) )
| ! [SY400: $i] :
( ( irel @ SY618 @ SY400 )
=> ( a2 @ SY400 ) ) ) )
| ! [SY621: $i] :
( ( irel @ SY837 @ SY621 )
=> ( a1 @ SY621 ) ) )
& ( ~ ! [SY622: $i] :
( ( irel @ SY837 @ SY622 )
=> ( ~ ! [SY461: $i] :
( ( irel @ SY622 @ SY461 )
=> ( b0 @ SY461 ) )
| ! [SY462: $i] :
( ( irel @ SY622 @ SY462 )
=> ( a1 @ SY462 ) ) ) )
| ! [SY625: $i] :
( ( irel @ SY837 @ SY625 )
=> ( a0 @ SY625 ) ) )
& ( ~ ! [SY626: $i] :
( ( irel @ SY837 @ SY626 )
=> ( ~ ! [SY523: $i] :
( ( irel @ SY626 @ SY523 )
=> ( b2 @ SY523 ) )
| ! [SY524: $i] :
( ( irel @ SY626 @ SY524 )
=> ( b0 @ SY524 ) ) ) )
| ! [SY629: $i] :
( ( irel @ SY837 @ SY629 )
=> ( a2 @ SY629 ) ) )
& ( ~ ! [SY630: $i] :
( ( irel @ SY837 @ SY630 )
=> ( a0 @ SY630 ) )
| ! [SY631: $i] :
( ( irel @ SY837 @ SY631 )
=> ( f @ SY631 ) ) ) ) )
| ! [SY852: $i] :
( ( irel @ sK1_SY751 @ SY852 )
=> ( f @ SY852 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(13,plain,
( ( ! [SY821: $i] :
( ~ ( irel @ sK1_SY751 @ SY821 )
| ( ( irel @ SY821 @ ( sK8_SY247 @ SY821 ) )
& ! [SY857: $i] :
( ~ ( irel @ ( sK8_SY247 @ SY821 ) @ SY857 )
| ( b0 @ SY857 ) )
& ( irel @ ( sK8_SY247 @ SY821 ) @ ( sK9_SY858 @ SY821 ) )
& ~ ( a1 @ ( sK9_SY858 @ SY821 ) ) )
| ! [SY250: $i] :
( ~ ( irel @ SY821 @ SY250 )
| ( a0 @ SY250 ) ) )
& ! [SY821: $i] :
( ~ ( irel @ sK1_SY751 @ SY821 )
| ( ( irel @ SY821 @ ( sK6_SY251 @ SY821 ) )
& ! [SY855: $i] :
( ~ ( irel @ ( sK6_SY251 @ SY821 ) @ SY855 )
| ( b1 @ SY855 ) )
& ( irel @ ( sK6_SY251 @ SY821 ) @ ( sK7_SY856 @ SY821 ) )
& ~ ( a2 @ ( sK7_SY856 @ SY821 ) ) )
| ! [SY254: $i] :
( ~ ( irel @ SY821 @ SY254 )
| ( a1 @ SY254 ) ) )
& ! [SY821: $i] :
( ~ ( irel @ sK1_SY751 @ SY821 )
| ( ( irel @ SY821 @ ( sK4_SY243 @ SY821 ) )
& ! [SY853: $i] :
( ~ ( irel @ ( sK4_SY243 @ SY821 ) @ SY853 )
| ( b2 @ SY853 ) )
& ( irel @ ( sK4_SY243 @ SY821 ) @ ( sK5_SY854 @ SY821 ) )
& ~ ( b0 @ ( sK5_SY854 @ SY821 ) ) )
| ! [SY246: $i] :
( ~ ( irel @ SY821 @ SY246 )
| ( a2 @ SY246 ) ) )
& ! [SY821: $i] :
( ~ ( irel @ sK1_SY751 @ SY821 )
| ( ( irel @ SY821 @ ( sK3_SY241 @ SY821 ) )
& ~ ( a0 @ ( sK3_SY241 @ SY821 ) ) )
| ! [SY242: $i] :
( ~ ( irel @ SY821 @ SY242 )
| ( f @ SY242 ) ) )
& ( irel @ sK1_SY751 @ sK2_SY836 )
& ~ ( f @ sK2_SY836 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(14,plain,
( ( ! [SY837: $i] :
( ~ ( irel @ sK1_SY751 @ SY837 )
| ( ( irel @ SY837 @ ( sK16_SY626 @ SY837 ) )
& ! [SY863: $i] :
( ~ ( irel @ ( sK16_SY626 @ SY837 ) @ SY863 )
| ( b2 @ SY863 ) )
& ( irel @ ( sK16_SY626 @ SY837 ) @ ( sK17_SY864 @ SY837 ) )
& ~ ( b0 @ ( sK17_SY864 @ SY837 ) ) )
| ! [SY629: $i] :
( ~ ( irel @ SY837 @ SY629 )
| ( a2 @ SY629 ) ) )
& ! [SY837: $i] :
( ~ ( irel @ sK1_SY751 @ SY837 )
| ( ( irel @ SY837 @ ( sK15_SY630 @ SY837 ) )
& ~ ( a0 @ ( sK15_SY630 @ SY837 ) ) )
| ! [SY631: $i] :
( ~ ( irel @ SY837 @ SY631 )
| ( f @ SY631 ) ) )
& ! [SY837: $i] :
( ~ ( irel @ sK1_SY751 @ SY837 )
| ( ( irel @ SY837 @ ( sK13_SY622 @ SY837 ) )
& ! [SY861: $i] :
( ~ ( irel @ ( sK13_SY622 @ SY837 ) @ SY861 )
| ( b0 @ SY861 ) )
& ( irel @ ( sK13_SY622 @ SY837 ) @ ( sK14_SY862 @ SY837 ) )
& ~ ( a1 @ ( sK14_SY862 @ SY837 ) ) )
| ! [SY625: $i] :
( ~ ( irel @ SY837 @ SY625 )
| ( a0 @ SY625 ) ) )
& ! [SY837: $i] :
( ~ ( irel @ sK1_SY751 @ SY837 )
| ( ( irel @ SY837 @ ( sK11_SY618 @ SY837 ) )
& ! [SY859: $i] :
( ~ ( irel @ ( sK11_SY618 @ SY837 ) @ SY859 )
| ( b1 @ SY859 ) )
& ( irel @ ( sK11_SY618 @ SY837 ) @ ( sK12_SY860 @ SY837 ) )
& ~ ( a2 @ ( sK12_SY860 @ SY837 ) ) )
| ! [SY621: $i] :
( ~ ( irel @ SY837 @ SY621 )
| ( a1 @ SY621 ) ) )
& ( irel @ sK1_SY751 @ sK10_SY852 )
& ~ ( f @ sK10_SY852 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(15,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( irel @ X @ Y )
| ~ ( irel @ Y @ Z )
| ( irel @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(16,plain,
( ( ! [X: $i] : ( irel @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(17,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( irel @ X @ Y )
| ~ ( irel @ Y @ Z )
| ( irel @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(18,plain,
( ( ! [SY821: $i] :
( ~ ( irel @ sK1_SY751 @ SY821 )
| ( ( irel @ SY821 @ ( sK8_SY247 @ SY821 ) )
& ! [SY857: $i] :
( ~ ( irel @ ( sK8_SY247 @ SY821 ) @ SY857 )
| ( b0 @ SY857 ) )
& ( irel @ ( sK8_SY247 @ SY821 ) @ ( sK9_SY858 @ SY821 ) )
& ~ ( a1 @ ( sK9_SY858 @ SY821 ) ) )
| ! [SY250: $i] :
( ~ ( irel @ SY821 @ SY250 )
| ( a0 @ SY250 ) ) )
& ! [SY821: $i] :
( ~ ( irel @ sK1_SY751 @ SY821 )
| ( ( irel @ SY821 @ ( sK6_SY251 @ SY821 ) )
& ! [SY855: $i] :
( ~ ( irel @ ( sK6_SY251 @ SY821 ) @ SY855 )
| ( b1 @ SY855 ) )
& ( irel @ ( sK6_SY251 @ SY821 ) @ ( sK7_SY856 @ SY821 ) )
& ~ ( a2 @ ( sK7_SY856 @ SY821 ) ) )
| ! [SY254: $i] :
( ~ ( irel @ SY821 @ SY254 )
| ( a1 @ SY254 ) ) )
& ! [SY821: $i] :
( ~ ( irel @ sK1_SY751 @ SY821 )
| ( ( irel @ SY821 @ ( sK4_SY243 @ SY821 ) )
& ! [SY853: $i] :
( ~ ( irel @ ( sK4_SY243 @ SY821 ) @ SY853 )
| ( b2 @ SY853 ) )
& ( irel @ ( sK4_SY243 @ SY821 ) @ ( sK5_SY854 @ SY821 ) )
& ~ ( b0 @ ( sK5_SY854 @ SY821 ) ) )
| ! [SY246: $i] :
( ~ ( irel @ SY821 @ SY246 )
| ( a2 @ SY246 ) ) )
& ! [SY821: $i] :
( ~ ( irel @ sK1_SY751 @ SY821 )
| ( ( irel @ SY821 @ ( sK3_SY241 @ SY821 ) )
& ~ ( a0 @ ( sK3_SY241 @ SY821 ) ) )
| ! [SY242: $i] :
( ~ ( irel @ SY821 @ SY242 )
| ( f @ SY242 ) ) )
& ( irel @ sK1_SY751 @ sK2_SY836 )
& ~ ( f @ sK2_SY836 ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(19,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY247 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ ( sK9_SY858 @ SX0 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK6_SY251 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ ( sK7_SY856 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK4_SY243 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ ( sK5_SY854 @ SX0 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK3_SY241 @ SX0 ) )
| ~ ~ ( a0 @ ( sK3_SY241 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
| ~ ~ ( ~ ( irel @ sK1_SY751 @ sK2_SY836 )
| ~ ~ ( f @ sK2_SY836 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(20,plain,
! [SV1: $i] :
( ( irel @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(21,plain,
! [SV2: $i] :
( ( ! [SY865: $i,SY866: $i] :
( ~ ( irel @ SV2 @ SY865 )
| ~ ( irel @ SY865 @ SY866 )
| ( irel @ SV2 @ SY866 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(22,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY247 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ ( sK9_SY858 @ SX0 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK6_SY251 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ ( sK7_SY856 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK4_SY243 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ ( sK5_SY854 @ SX0 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK3_SY241 @ SX0 ) )
| ~ ~ ( a0 @ ( sK3_SY241 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
| ~ ~ ( ~ ( irel @ sK1_SY751 @ sK2_SY836 )
| ~ ~ ( f @ sK2_SY836 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV3: $i,SV2: $i] :
( ( ! [SY867: $i] :
( ~ ( irel @ SV2 @ SV3 )
| ~ ( irel @ SV3 @ SY867 )
| ( irel @ SV2 @ SY867 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY247 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ ( sK9_SY858 @ SX0 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK6_SY251 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ ( sK7_SY856 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK4_SY243 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ ( sK5_SY854 @ SX0 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK3_SY241 @ SX0 ) )
| ~ ~ ( a0 @ ( sK3_SY241 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(25,plain,
( ( ~ ~ ( ~ ( irel @ sK1_SY751 @ sK2_SY836 )
| ~ ~ ( f @ sK2_SY836 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(26,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ~ ( irel @ SV2 @ SV3 )
| ~ ( irel @ SV3 @ SV4 )
| ( irel @ SV2 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY247 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ ( sK9_SY858 @ SX0 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK6_SY251 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ ( sK7_SY856 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK4_SY243 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ ( sK5_SY854 @ SX0 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK3_SY241 @ SX0 ) )
| ~ ~ ( a0 @ ( sK3_SY241 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ( ~ ( irel @ sK1_SY751 @ sK2_SY836 )
| ~ ~ ( f @ sK2_SY836 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( irel @ SV2 @ SV3 )
| ~ ( irel @ SV3 @ SV4 ) )
= $true )
| ( ( irel @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(30,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY247 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ ( sK9_SY858 @ SX0 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK6_SY251 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ ( sK7_SY856 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK4_SY243 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ ( sK5_SY854 @ SX0 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK3_SY241 @ SX0 ) )
| ~ ~ ( a0 @ ( sK3_SY241 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
( ( ~ ( irel @ sK1_SY751 @ sK2_SY836 )
| ~ ~ ( f @ sK2_SY836 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( ~ ( irel @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( irel @ SV3 @ SV4 ) )
= $true )
| ( ( irel @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(33,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY247 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ ( sK9_SY858 @ SX0 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK6_SY251 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ ( sK7_SY856 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK4_SY243 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ ( sK5_SY854 @ SX0 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(34,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK3_SY241 @ SX0 ) )
| ~ ~ ( a0 @ ( sK3_SY241 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(35,plain,
( ( ~ ( irel @ sK1_SY751 @ sK2_SY836 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
( ( ~ ~ ( f @ sK2_SY836 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(37,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( irel @ SV2 @ SV3 )
= $false )
| ( ( ~ ( irel @ SV3 @ SV4 ) )
= $true )
| ( ( irel @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(38,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY247 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ ( sK9_SY858 @ SX0 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK6_SY251 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ ( sK7_SY856 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK4_SY243 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ ( sK5_SY854 @ SX0 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(39,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK3_SY241 @ SX0 ) )
| ~ ~ ( a0 @ ( sK3_SY241 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(40,plain,
( ( irel @ sK1_SY751 @ sK2_SY836 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(41,plain,
( ( ~ ( f @ sK2_SY836 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(42,plain,
! [SV2: $i,SV4: $i,SV3: $i] :
( ( ( irel @ SV3 @ SV4 )
= $false )
| ( ( irel @ SV2 @ SV3 )
= $false )
| ( ( irel @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(43,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY247 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ ( sK9_SY858 @ SX0 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK6_SY251 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ ( sK7_SY856 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK4_SY243 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ ( sK5_SY854 @ SX0 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV5: $i] :
( ( ~ ( irel @ sK1_SY751 @ SV5 )
| ~ ( ~ ( irel @ SV5 @ ( sK3_SY241 @ SV5 ) )
| ~ ~ ( a0 @ ( sK3_SY241 @ SV5 ) ) )
| ! [SY868: $i] :
( ~ ( irel @ SV5 @ SY868 )
| ( f @ SY868 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(45,plain,
( ( f @ sK2_SY836 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(46,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY247 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ ( sK9_SY858 @ SX0 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK6_SY251 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ ( sK7_SY856 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(47,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK4_SY243 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ ( sK5_SY854 @ SX0 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(48,plain,
! [SV5: $i] :
( ( ( ~ ( irel @ sK1_SY751 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( irel @ SV5 @ ( sK3_SY241 @ SV5 ) )
| ~ ~ ( a0 @ ( sK3_SY241 @ SV5 ) ) )
| ! [SY868: $i] :
( ~ ( irel @ SV5 @ SY868 )
| ( f @ SY868 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(49,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY247 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ ( sK9_SY858 @ SX0 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK6_SY251 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ ( sK7_SY856 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(50,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK4_SY243 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SX0 ) @ ( sK5_SY854 @ SX0 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(51,plain,
! [SV5: $i] :
( ( ( irel @ sK1_SY751 @ SV5 )
= $false )
| ( ( ~ ( ~ ( irel @ SV5 @ ( sK3_SY241 @ SV5 ) )
| ~ ~ ( a0 @ ( sK3_SY241 @ SV5 ) ) )
| ! [SY868: $i] :
( ~ ( irel @ SV5 @ SY868 )
| ( f @ SY868 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(52,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY247 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ ( sK9_SY858 @ SX0 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK6_SY251 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ ( sK7_SY856 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(53,plain,
! [SV6: $i] :
( ( ~ ( irel @ sK1_SY751 @ SV6 )
| ~ ( ~ ( irel @ SV6 @ ( sK4_SY243 @ SV6 ) )
| ~ ~ ( ~ ! [SY869: $i] :
( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ SY869 )
| ( b2 @ SY869 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SV6 ) ) ) ) )
| ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(54,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( irel @ SV5 @ ( sK3_SY241 @ SV5 ) )
| ~ ~ ( a0 @ ( sK3_SY241 @ SV5 ) ) ) )
= $true )
| ( ( ! [SY868: $i] :
( ~ ( irel @ SV5 @ SY868 )
| ( f @ SY868 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(55,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY247 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ ( sK9_SY858 @ SX0 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(56,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK6_SY251 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ ( sK7_SY856 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(57,plain,
! [SV6: $i] :
( ( ( ~ ( irel @ sK1_SY751 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ( irel @ SV6 @ ( sK4_SY243 @ SV6 ) )
| ~ ~ ( ~ ! [SY869: $i] :
( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ SY869 )
| ( b2 @ SY869 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SV6 ) ) ) ) )
| ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(58,plain,
! [SV5: $i] :
( ( ( ~ ( irel @ SV5 @ ( sK3_SY241 @ SV5 ) )
| ~ ~ ( a0 @ ( sK3_SY241 @ SV5 ) ) )
= $false )
| ( ( ! [SY868: $i] :
( ~ ( irel @ SV5 @ SY868 )
| ( f @ SY868 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(59,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK8_SY247 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SX0 ) @ ( sK9_SY858 @ SX0 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(60,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK6_SY251 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SX0 ) @ ( sK7_SY856 @ SX0 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(61,plain,
! [SV6: $i] :
( ( ( irel @ sK1_SY751 @ SV6 )
= $false )
| ( ( ~ ( ~ ( irel @ SV6 @ ( sK4_SY243 @ SV6 ) )
| ~ ~ ( ~ ! [SY869: $i] :
( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ SY869 )
| ( b2 @ SY869 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SV6 ) ) ) ) )
| ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(62,plain,
! [SV5: $i] :
( ( ( ~ ( irel @ SV5 @ ( sK3_SY241 @ SV5 ) ) )
= $false )
| ( ( ! [SY868: $i] :
( ~ ( irel @ SV5 @ SY868 )
| ( f @ SY868 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(63,plain,
! [SV5: $i] :
( ( ( ~ ~ ( a0 @ ( sK3_SY241 @ SV5 ) ) )
= $false )
| ( ( ! [SY868: $i] :
( ~ ( irel @ SV5 @ SY868 )
| ( f @ SY868 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(64,plain,
! [SV7: $i] :
( ( ~ ( irel @ sK1_SY751 @ SV7 )
| ~ ( ~ ( irel @ SV7 @ ( sK8_SY247 @ SV7 ) )
| ~ ~ ( ~ ! [SY871: $i] :
( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ SY871 )
| ( b0 @ SY871 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SV7 ) ) ) ) )
| ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(65,plain,
! [SV8: $i] :
( ( ~ ( irel @ sK1_SY751 @ SV8 )
| ~ ( ~ ( irel @ SV8 @ ( sK6_SY251 @ SV8 ) )
| ~ ~ ( ~ ! [SY873: $i] :
( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ SY873 )
| ( b1 @ SY873 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SV8 ) ) ) ) )
| ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(66,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ( irel @ SV6 @ ( sK4_SY243 @ SV6 ) )
| ~ ~ ( ~ ! [SY869: $i] :
( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ SY869 )
| ( b2 @ SY869 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SV6 ) ) ) ) ) )
= $true )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV5: $i] :
( ( ( irel @ SV5 @ ( sK3_SY241 @ SV5 ) )
= $true )
| ( ( ! [SY868: $i] :
( ~ ( irel @ SV5 @ SY868 )
| ( f @ SY868 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(68,plain,
! [SV5: $i] :
( ( ( ~ ( a0 @ ( sK3_SY241 @ SV5 ) ) )
= $true )
| ( ( ! [SY868: $i] :
( ~ ( irel @ SV5 @ SY868 )
| ( f @ SY868 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(69,plain,
! [SV7: $i] :
( ( ( ~ ( irel @ sK1_SY751 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( irel @ SV7 @ ( sK8_SY247 @ SV7 ) )
| ~ ~ ( ~ ! [SY871: $i] :
( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ SY871 )
| ( b0 @ SY871 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SV7 ) ) ) ) )
| ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV8: $i] :
( ( ( ~ ( irel @ sK1_SY751 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ( irel @ SV8 @ ( sK6_SY251 @ SV8 ) )
| ~ ~ ( ~ ! [SY873: $i] :
( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ SY873 )
| ( b1 @ SY873 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SV8 ) ) ) ) )
| ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV6: $i] :
( ( ( ~ ( irel @ SV6 @ ( sK4_SY243 @ SV6 ) )
| ~ ~ ( ~ ! [SY869: $i] :
( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ SY869 )
| ( b2 @ SY869 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SV6 ) ) ) ) )
= $false )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(72,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV9 )
| ( f @ SV9 ) )
= $true )
| ( ( irel @ SV5 @ ( sK3_SY241 @ SV5 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(73,plain,
! [SV5: $i] :
( ( ( a0 @ ( sK3_SY241 @ SV5 ) )
= $false )
| ( ( ! [SY868: $i] :
( ~ ( irel @ SV5 @ SY868 )
| ( f @ SY868 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(74,plain,
! [SV7: $i] :
( ( ( irel @ sK1_SY751 @ SV7 )
= $false )
| ( ( ~ ( ~ ( irel @ SV7 @ ( sK8_SY247 @ SV7 ) )
| ~ ~ ( ~ ! [SY871: $i] :
( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ SY871 )
| ( b0 @ SY871 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SV7 ) ) ) ) )
| ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV8: $i] :
( ( ( irel @ sK1_SY751 @ SV8 )
= $false )
| ( ( ~ ( ~ ( irel @ SV8 @ ( sK6_SY251 @ SV8 ) )
| ~ ~ ( ~ ! [SY873: $i] :
( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ SY873 )
| ( b1 @ SY873 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SV8 ) ) ) ) )
| ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(76,plain,
! [SV6: $i] :
( ( ( ~ ( irel @ SV6 @ ( sK4_SY243 @ SV6 ) ) )
= $false )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(77,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ! [SY869: $i] :
( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ SY869 )
| ( b2 @ SY869 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SV6 ) ) ) ) )
= $false )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(78,plain,
! [SV9: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV9 ) )
= $true )
| ( ( f @ SV9 )
= $true )
| ( ( irel @ SV5 @ ( sK3_SY241 @ SV5 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(79,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV10 )
| ( f @ SV10 ) )
= $true )
| ( ( a0 @ ( sK3_SY241 @ SV5 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(80,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ( irel @ SV7 @ ( sK8_SY247 @ SV7 ) )
| ~ ~ ( ~ ! [SY871: $i] :
( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ SY871 )
| ( b0 @ SY871 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SV7 ) ) ) ) ) )
= $true )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(81,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( irel @ SV8 @ ( sK6_SY251 @ SV8 ) )
| ~ ~ ( ~ ! [SY873: $i] :
( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ SY873 )
| ( b1 @ SY873 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SV8 ) ) ) ) ) )
= $true )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(82,plain,
! [SV6: $i] :
( ( ( irel @ SV6 @ ( sK4_SY243 @ SV6 ) )
= $true )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(83,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ! [SY869: $i] :
( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ SY869 )
| ( b2 @ SY869 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SV6 ) ) ) ) )
= $true )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(84,plain,
! [SV9: $i,SV5: $i] :
( ( ( irel @ SV5 @ SV9 )
= $false )
| ( ( f @ SV9 )
= $true )
| ( ( irel @ SV5 @ ( sK3_SY241 @ SV5 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(85,plain,
! [SV10: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV10 ) )
= $true )
| ( ( f @ SV10 )
= $true )
| ( ( a0 @ ( sK3_SY241 @ SV5 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(86,plain,
! [SV7: $i] :
( ( ( ~ ( irel @ SV7 @ ( sK8_SY247 @ SV7 ) )
| ~ ~ ( ~ ! [SY871: $i] :
( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ SY871 )
| ( b0 @ SY871 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SV7 ) ) ) ) )
= $false )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(87,plain,
! [SV8: $i] :
( ( ( ~ ( irel @ SV8 @ ( sK6_SY251 @ SV8 ) )
| ~ ~ ( ~ ! [SY873: $i] :
( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ SY873 )
| ( b1 @ SY873 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SV8 ) ) ) ) )
= $false )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(88,plain,
! [SV11: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV11 )
| ( a2 @ SV11 ) )
= $true )
| ( ( irel @ SV6 @ ( sK4_SY243 @ SV6 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV6: $i] :
( ( ( ~ ! [SY869: $i] :
( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ SY869 )
| ( b2 @ SY869 ) )
| ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SV6 ) ) ) )
= $false )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(90,plain,
! [SV10: $i,SV5: $i] :
( ( ( irel @ SV5 @ SV10 )
= $false )
| ( ( f @ SV10 )
= $true )
| ( ( a0 @ ( sK3_SY241 @ SV5 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(91,plain,
! [SV7: $i] :
( ( ( ~ ( irel @ SV7 @ ( sK8_SY247 @ SV7 ) ) )
= $false )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(92,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ! [SY871: $i] :
( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ SY871 )
| ( b0 @ SY871 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SV7 ) ) ) ) )
= $false )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(93,plain,
! [SV8: $i] :
( ( ( ~ ( irel @ SV8 @ ( sK6_SY251 @ SV8 ) ) )
= $false )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(94,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ! [SY873: $i] :
( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ SY873 )
| ( b1 @ SY873 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SV8 ) ) ) ) )
= $false )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(95,plain,
! [SV11: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV11 ) )
= $true )
| ( ( a2 @ SV11 )
= $true )
| ( ( irel @ SV6 @ ( sK4_SY243 @ SV6 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(96,plain,
! [SV6: $i] :
( ( ( ~ ! [SY869: $i] :
( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ SY869 )
| ( b2 @ SY869 ) ) )
= $false )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(97,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SV6 ) ) ) )
= $false )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(98,plain,
! [SV7: $i] :
( ( ( irel @ SV7 @ ( sK8_SY247 @ SV7 ) )
= $true )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(99,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ! [SY871: $i] :
( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ SY871 )
| ( b0 @ SY871 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SV7 ) ) ) ) )
= $true )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(100,plain,
! [SV8: $i] :
( ( ( irel @ SV8 @ ( sK6_SY251 @ SV8 ) )
= $true )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(101,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ! [SY873: $i] :
( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ SY873 )
| ( b1 @ SY873 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SV8 ) ) ) ) )
= $true )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(102,plain,
! [SV11: $i,SV6: $i] :
( ( ( irel @ SV6 @ SV11 )
= $false )
| ( ( a2 @ SV11 )
= $true )
| ( ( irel @ SV6 @ ( sK4_SY243 @ SV6 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(103,plain,
! [SV6: $i] :
( ( ( ! [SY869: $i] :
( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ SY869 )
| ( b2 @ SY869 ) ) )
= $true )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(104,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SV6 ) ) ) )
= $true )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(105,plain,
! [SV12: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV12 )
| ( a0 @ SV12 ) )
= $true )
| ( ( irel @ SV7 @ ( sK8_SY247 @ SV7 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(106,plain,
! [SV7: $i] :
( ( ( ~ ! [SY871: $i] :
( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ SY871 )
| ( b0 @ SY871 ) )
| ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SV7 ) ) ) )
= $false )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(107,plain,
! [SV13: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV13 )
| ( a1 @ SV13 ) )
= $true )
| ( ( irel @ SV8 @ ( sK6_SY251 @ SV8 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(108,plain,
! [SV8: $i] :
( ( ( ~ ! [SY873: $i] :
( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ SY873 )
| ( b1 @ SY873 ) )
| ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SV8 ) ) ) )
= $false )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(109,plain,
! [SV14: $i,SV6: $i] :
( ( ( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ SV14 )
| ( b2 @ SV14 ) )
= $true )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(110,plain,
! [SV6: $i] :
( ( ( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
| ~ ~ ( b0 @ ( sK5_SY854 @ SV6 ) ) )
= $false )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(111,plain,
! [SV12: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV12 ) )
= $true )
| ( ( a0 @ SV12 )
= $true )
| ( ( irel @ SV7 @ ( sK8_SY247 @ SV7 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(112,plain,
! [SV7: $i] :
( ( ( ~ ! [SY871: $i] :
( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ SY871 )
| ( b0 @ SY871 ) ) )
= $false )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(113,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SV7 ) ) ) )
= $false )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(114,plain,
! [SV13: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV13 ) )
= $true )
| ( ( a1 @ SV13 )
= $true )
| ( ( irel @ SV8 @ ( sK6_SY251 @ SV8 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(115,plain,
! [SV8: $i] :
( ( ( ~ ! [SY873: $i] :
( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ SY873 )
| ( b1 @ SY873 ) ) )
= $false )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(116,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SV8 ) ) ) )
= $false )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(117,plain,
! [SV14: $i,SV6: $i] :
( ( ( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ SV14 ) )
= $true )
| ( ( b2 @ SV14 )
= $true )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(118,plain,
! [SV6: $i] :
( ( ( ~ ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) ) )
= $false )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(119,plain,
! [SV6: $i] :
( ( ( ~ ~ ( b0 @ ( sK5_SY854 @ SV6 ) ) )
= $false )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(120,plain,
! [SV12: $i,SV7: $i] :
( ( ( irel @ SV7 @ SV12 )
= $false )
| ( ( a0 @ SV12 )
= $true )
| ( ( irel @ SV7 @ ( sK8_SY247 @ SV7 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(121,plain,
! [SV7: $i] :
( ( ( ! [SY871: $i] :
( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ SY871 )
| ( b0 @ SY871 ) ) )
= $true )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(122,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SV7 ) ) ) )
= $true )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(123,plain,
! [SV13: $i,SV8: $i] :
( ( ( irel @ SV8 @ SV13 )
= $false )
| ( ( a1 @ SV13 )
= $true )
| ( ( irel @ SV8 @ ( sK6_SY251 @ SV8 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(124,plain,
! [SV8: $i] :
( ( ( ! [SY873: $i] :
( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ SY873 )
| ( b1 @ SY873 ) ) )
= $true )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(125,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SV8 ) ) ) )
= $true )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(126,plain,
! [SV14: $i,SV6: $i] :
( ( ( irel @ ( sK4_SY243 @ SV6 ) @ SV14 )
= $false )
| ( ( b2 @ SV14 )
= $true )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(127,plain,
! [SV6: $i] :
( ( ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
= $true )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(128,plain,
! [SV6: $i] :
( ( ( ~ ( b0 @ ( sK5_SY854 @ SV6 ) ) )
= $true )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(129,plain,
! [SV15: $i,SV7: $i] :
( ( ( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ SV15 )
| ( b0 @ SV15 ) )
= $true )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(130,plain,
! [SV7: $i] :
( ( ( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
| ~ ~ ( a1 @ ( sK9_SY858 @ SV7 ) ) )
= $false )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(131,plain,
! [SV16: $i,SV8: $i] :
( ( ( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ SV16 )
| ( b1 @ SV16 ) )
= $true )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(132,plain,
! [SV8: $i] :
( ( ( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
| ~ ~ ( a2 @ ( sK7_SY856 @ SV8 ) ) )
= $false )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(133,plain,
! [SV14: $i,SV17: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV17 )
| ( a2 @ SV17 ) )
= $true )
| ( ( b2 @ SV14 )
= $true )
| ( ( irel @ ( sK4_SY243 @ SV6 ) @ SV14 )
= $false )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(134,plain,
! [SV18: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV18 )
| ( a2 @ SV18 ) )
= $true )
| ( ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(135,plain,
! [SV6: $i] :
( ( ( b0 @ ( sK5_SY854 @ SV6 ) )
= $false )
| ( ( ! [SY870: $i] :
( ~ ( irel @ SV6 @ SY870 )
| ( a2 @ SY870 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(136,plain,
! [SV15: $i,SV7: $i] :
( ( ( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ SV15 ) )
= $true )
| ( ( b0 @ SV15 )
= $true )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(137,plain,
! [SV7: $i] :
( ( ( ~ ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) ) )
= $false )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(138,plain,
! [SV7: $i] :
( ( ( ~ ~ ( a1 @ ( sK9_SY858 @ SV7 ) ) )
= $false )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(139,plain,
! [SV16: $i,SV8: $i] :
( ( ( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ SV16 ) )
= $true )
| ( ( b1 @ SV16 )
= $true )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(140,plain,
! [SV8: $i] :
( ( ( ~ ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) ) )
= $false )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(141,plain,
! [SV8: $i] :
( ( ( ~ ~ ( a2 @ ( sK7_SY856 @ SV8 ) ) )
= $false )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(142,plain,
! [SV14: $i,SV17: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV17 ) )
= $true )
| ( ( a2 @ SV17 )
= $true )
| ( ( b2 @ SV14 )
= $true )
| ( ( irel @ ( sK4_SY243 @ SV6 ) @ SV14 )
= $false )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(143,plain,
! [SV18: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV18 ) )
= $true )
| ( ( a2 @ SV18 )
= $true )
| ( ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(144,plain,
! [SV19: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV19 )
| ( a2 @ SV19 ) )
= $true )
| ( ( b0 @ ( sK5_SY854 @ SV6 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(145,plain,
! [SV15: $i,SV7: $i] :
( ( ( irel @ ( sK8_SY247 @ SV7 ) @ SV15 )
= $false )
| ( ( b0 @ SV15 )
= $true )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(146,plain,
! [SV7: $i] :
( ( ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
= $true )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(147,plain,
! [SV7: $i] :
( ( ( ~ ( a1 @ ( sK9_SY858 @ SV7 ) ) )
= $true )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(148,plain,
! [SV16: $i,SV8: $i] :
( ( ( irel @ ( sK6_SY251 @ SV8 ) @ SV16 )
= $false )
| ( ( b1 @ SV16 )
= $true )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(149,plain,
! [SV8: $i] :
( ( ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
= $true )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(150,plain,
! [SV8: $i] :
( ( ( ~ ( a2 @ ( sK7_SY856 @ SV8 ) ) )
= $true )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(151,plain,
! [SV14: $i,SV17: $i,SV6: $i] :
( ( ( irel @ SV6 @ SV17 )
= $false )
| ( ( a2 @ SV17 )
= $true )
| ( ( b2 @ SV14 )
= $true )
| ( ( irel @ ( sK4_SY243 @ SV6 ) @ SV14 )
= $false )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(152,plain,
! [SV18: $i,SV6: $i] :
( ( ( irel @ SV6 @ SV18 )
= $false )
| ( ( a2 @ SV18 )
= $true )
| ( ( irel @ ( sK4_SY243 @ SV6 ) @ ( sK5_SY854 @ SV6 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(153,plain,
! [SV19: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV19 ) )
= $true )
| ( ( a2 @ SV19 )
= $true )
| ( ( b0 @ ( sK5_SY854 @ SV6 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(154,plain,
! [SV15: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV20 )
| ( a0 @ SV20 ) )
= $true )
| ( ( b0 @ SV15 )
= $true )
| ( ( irel @ ( sK8_SY247 @ SV7 ) @ SV15 )
= $false )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(155,plain,
! [SV21: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV21 )
| ( a0 @ SV21 ) )
= $true )
| ( ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(156,plain,
! [SV7: $i] :
( ( ( a1 @ ( sK9_SY858 @ SV7 ) )
= $false )
| ( ( ! [SY872: $i] :
( ~ ( irel @ SV7 @ SY872 )
| ( a0 @ SY872 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(157,plain,
! [SV16: $i,SV22: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV22 )
| ( a1 @ SV22 ) )
= $true )
| ( ( b1 @ SV16 )
= $true )
| ( ( irel @ ( sK6_SY251 @ SV8 ) @ SV16 )
= $false )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(158,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV23 )
| ( a1 @ SV23 ) )
= $true )
| ( ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(159,plain,
! [SV8: $i] :
( ( ( a2 @ ( sK7_SY856 @ SV8 ) )
= $false )
| ( ( ! [SY874: $i] :
( ~ ( irel @ SV8 @ SY874 )
| ( a1 @ SY874 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(160,plain,
! [SV19: $i,SV6: $i] :
( ( ( irel @ SV6 @ SV19 )
= $false )
| ( ( a2 @ SV19 )
= $true )
| ( ( b0 @ ( sK5_SY854 @ SV6 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(161,plain,
! [SV15: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV20 ) )
= $true )
| ( ( a0 @ SV20 )
= $true )
| ( ( b0 @ SV15 )
= $true )
| ( ( irel @ ( sK8_SY247 @ SV7 ) @ SV15 )
= $false )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(162,plain,
! [SV21: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV21 ) )
= $true )
| ( ( a0 @ SV21 )
= $true )
| ( ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(163,plain,
! [SV24: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV24 )
| ( a0 @ SV24 ) )
= $true )
| ( ( a1 @ ( sK9_SY858 @ SV7 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(164,plain,
! [SV16: $i,SV22: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV22 ) )
= $true )
| ( ( a1 @ SV22 )
= $true )
| ( ( b1 @ SV16 )
= $true )
| ( ( irel @ ( sK6_SY251 @ SV8 ) @ SV16 )
= $false )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(165,plain,
! [SV23: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV23 ) )
= $true )
| ( ( a1 @ SV23 )
= $true )
| ( ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(166,plain,
! [SV25: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV25 )
| ( a1 @ SV25 ) )
= $true )
| ( ( a2 @ ( sK7_SY856 @ SV8 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(167,plain,
! [SV15: $i,SV20: $i,SV7: $i] :
( ( ( irel @ SV7 @ SV20 )
= $false )
| ( ( a0 @ SV20 )
= $true )
| ( ( b0 @ SV15 )
= $true )
| ( ( irel @ ( sK8_SY247 @ SV7 ) @ SV15 )
= $false )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(168,plain,
! [SV21: $i,SV7: $i] :
( ( ( irel @ SV7 @ SV21 )
= $false )
| ( ( a0 @ SV21 )
= $true )
| ( ( irel @ ( sK8_SY247 @ SV7 ) @ ( sK9_SY858 @ SV7 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(169,plain,
! [SV24: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV24 ) )
= $true )
| ( ( a0 @ SV24 )
= $true )
| ( ( a1 @ ( sK9_SY858 @ SV7 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(170,plain,
! [SV16: $i,SV22: $i,SV8: $i] :
( ( ( irel @ SV8 @ SV22 )
= $false )
| ( ( a1 @ SV22 )
= $true )
| ( ( b1 @ SV16 )
= $true )
| ( ( irel @ ( sK6_SY251 @ SV8 ) @ SV16 )
= $false )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(171,plain,
! [SV23: $i,SV8: $i] :
( ( ( irel @ SV8 @ SV23 )
= $false )
| ( ( a1 @ SV23 )
= $true )
| ( ( irel @ ( sK6_SY251 @ SV8 ) @ ( sK7_SY856 @ SV8 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(172,plain,
! [SV25: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV25 ) )
= $true )
| ( ( a1 @ SV25 )
= $true )
| ( ( a2 @ ( sK7_SY856 @ SV8 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(173,plain,
! [SV24: $i,SV7: $i] :
( ( ( irel @ SV7 @ SV24 )
= $false )
| ( ( a0 @ SV24 )
= $true )
| ( ( a1 @ ( sK9_SY858 @ SV7 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(174,plain,
! [SV25: $i,SV8: $i] :
( ( ( irel @ SV8 @ SV25 )
= $false )
| ( ( a1 @ SV25 )
= $true )
| ( ( a2 @ ( sK7_SY856 @ SV8 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(175,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,174,173,171,170,168,167,160,152,151,123,120,102,90,84,45,42,40]) ).
thf(176,plain,
( ( ! [X: $i] : ( irel @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(177,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( irel @ X @ Y )
| ~ ( irel @ Y @ Z )
| ( irel @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(178,plain,
( ( ! [SY837: $i] :
( ~ ( irel @ sK1_SY751 @ SY837 )
| ( ( irel @ SY837 @ ( sK16_SY626 @ SY837 ) )
& ! [SY863: $i] :
( ~ ( irel @ ( sK16_SY626 @ SY837 ) @ SY863 )
| ( b2 @ SY863 ) )
& ( irel @ ( sK16_SY626 @ SY837 ) @ ( sK17_SY864 @ SY837 ) )
& ~ ( b0 @ ( sK17_SY864 @ SY837 ) ) )
| ! [SY629: $i] :
( ~ ( irel @ SY837 @ SY629 )
| ( a2 @ SY629 ) ) )
& ! [SY837: $i] :
( ~ ( irel @ sK1_SY751 @ SY837 )
| ( ( irel @ SY837 @ ( sK15_SY630 @ SY837 ) )
& ~ ( a0 @ ( sK15_SY630 @ SY837 ) ) )
| ! [SY631: $i] :
( ~ ( irel @ SY837 @ SY631 )
| ( f @ SY631 ) ) )
& ! [SY837: $i] :
( ~ ( irel @ sK1_SY751 @ SY837 )
| ( ( irel @ SY837 @ ( sK13_SY622 @ SY837 ) )
& ! [SY861: $i] :
( ~ ( irel @ ( sK13_SY622 @ SY837 ) @ SY861 )
| ( b0 @ SY861 ) )
& ( irel @ ( sK13_SY622 @ SY837 ) @ ( sK14_SY862 @ SY837 ) )
& ~ ( a1 @ ( sK14_SY862 @ SY837 ) ) )
| ! [SY625: $i] :
( ~ ( irel @ SY837 @ SY625 )
| ( a0 @ SY625 ) ) )
& ! [SY837: $i] :
( ~ ( irel @ sK1_SY751 @ SY837 )
| ( ( irel @ SY837 @ ( sK11_SY618 @ SY837 ) )
& ! [SY859: $i] :
( ~ ( irel @ ( sK11_SY618 @ SY837 ) @ SY859 )
| ( b1 @ SY859 ) )
& ( irel @ ( sK11_SY618 @ SY837 ) @ ( sK12_SY860 @ SY837 ) )
& ~ ( a2 @ ( sK12_SY860 @ SY837 ) ) )
| ! [SY621: $i] :
( ~ ( irel @ SY837 @ SY621 )
| ( a1 @ SY621 ) ) )
& ( irel @ sK1_SY751 @ sK10_SY852 )
& ~ ( f @ sK10_SY852 ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(179,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK16_SY626 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ ( sK17_SY864 @ SX0 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK15_SY630 @ SX0 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK13_SY622 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ ( sK14_SY862 @ SX0 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK11_SY618 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK11_SY618 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SX0 ) @ ( sK12_SY860 @ SX0 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
| ~ ~ ( ~ ( irel @ sK1_SY751 @ sK10_SY852 )
| ~ ~ ( f @ sK10_SY852 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(180,plain,
! [SV26: $i] :
( ( irel @ SV26 @ SV26 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(181,plain,
! [SV27: $i] :
( ( ! [SY875: $i,SY876: $i] :
( ~ ( irel @ SV27 @ SY875 )
| ~ ( irel @ SY875 @ SY876 )
| ( irel @ SV27 @ SY876 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(182,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK16_SY626 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ ( sK17_SY864 @ SX0 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK15_SY630 @ SX0 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK13_SY622 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ ( sK14_SY862 @ SX0 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK11_SY618 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK11_SY618 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SX0 ) @ ( sK12_SY860 @ SX0 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
| ~ ~ ( ~ ( irel @ sK1_SY751 @ sK10_SY852 )
| ~ ~ ( f @ sK10_SY852 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(183,plain,
! [SV28: $i,SV27: $i] :
( ( ! [SY877: $i] :
( ~ ( irel @ SV27 @ SV28 )
| ~ ( irel @ SV28 @ SY877 )
| ( irel @ SV27 @ SY877 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(184,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK16_SY626 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ ( sK17_SY864 @ SX0 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK15_SY630 @ SX0 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK13_SY622 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ ( sK14_SY862 @ SX0 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK11_SY618 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK11_SY618 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SX0 ) @ ( sK12_SY860 @ SX0 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(185,plain,
( ( ~ ~ ( ~ ( irel @ sK1_SY751 @ sK10_SY852 )
| ~ ~ ( f @ sK10_SY852 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(186,plain,
! [SV29: $i,SV28: $i,SV27: $i] :
( ( ~ ( irel @ SV27 @ SV28 )
| ~ ( irel @ SV28 @ SV29 )
| ( irel @ SV27 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(187,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK16_SY626 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ ( sK17_SY864 @ SX0 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK15_SY630 @ SX0 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK13_SY622 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ ( sK14_SY862 @ SX0 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK11_SY618 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK11_SY618 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SX0 ) @ ( sK12_SY860 @ SX0 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(188,plain,
( ( ~ ( ~ ( irel @ sK1_SY751 @ sK10_SY852 )
| ~ ~ ( f @ sK10_SY852 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(189,plain,
! [SV29: $i,SV28: $i,SV27: $i] :
( ( ( ~ ( irel @ SV27 @ SV28 )
| ~ ( irel @ SV28 @ SV29 ) )
= $true )
| ( ( irel @ SV27 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(190,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK16_SY626 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ ( sK17_SY864 @ SX0 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK15_SY630 @ SX0 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK13_SY622 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ ( sK14_SY862 @ SX0 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK11_SY618 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK11_SY618 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SX0 ) @ ( sK12_SY860 @ SX0 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(191,plain,
( ( ~ ( irel @ sK1_SY751 @ sK10_SY852 )
| ~ ~ ( f @ sK10_SY852 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(192,plain,
! [SV29: $i,SV28: $i,SV27: $i] :
( ( ( ~ ( irel @ SV27 @ SV28 ) )
= $true )
| ( ( ~ ( irel @ SV28 @ SV29 ) )
= $true )
| ( ( irel @ SV27 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(193,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK16_SY626 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ ( sK17_SY864 @ SX0 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK15_SY630 @ SX0 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK13_SY622 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ ( sK14_SY862 @ SX0 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(194,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK11_SY618 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK11_SY618 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SX0 ) @ ( sK12_SY860 @ SX0 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(195,plain,
( ( ~ ( irel @ sK1_SY751 @ sK10_SY852 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(196,plain,
( ( ~ ~ ( f @ sK10_SY852 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(197,plain,
! [SV29: $i,SV28: $i,SV27: $i] :
( ( ( irel @ SV27 @ SV28 )
= $false )
| ( ( ~ ( irel @ SV28 @ SV29 ) )
= $true )
| ( ( irel @ SV27 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(198,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK16_SY626 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ ( sK17_SY864 @ SX0 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK15_SY630 @ SX0 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK13_SY622 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ ( sK14_SY862 @ SX0 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(199,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK11_SY618 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK11_SY618 @ SX0 ) @ SX1 )
| ( b1 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SX0 ) @ ( sK12_SY860 @ SX0 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a1 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(200,plain,
( ( irel @ sK1_SY751 @ sK10_SY852 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(201,plain,
( ( ~ ( f @ sK10_SY852 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(202,plain,
! [SV27: $i,SV29: $i,SV28: $i] :
( ( ( irel @ SV28 @ SV29 )
= $false )
| ( ( irel @ SV27 @ SV28 )
= $false )
| ( ( irel @ SV27 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(203,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK16_SY626 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ ( sK17_SY864 @ SX0 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK15_SY630 @ SX0 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK13_SY622 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ ( sK14_SY862 @ SX0 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(204,plain,
! [SV30: $i] :
( ( ~ ( irel @ sK1_SY751 @ SV30 )
| ~ ( ~ ( irel @ SV30 @ ( sK11_SY618 @ SV30 ) )
| ~ ~ ( ~ ! [SY878: $i] :
( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ SY878 )
| ( b1 @ SY878 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SV30 ) ) ) ) )
| ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(205,plain,
( ( f @ sK10_SY852 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(206,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK16_SY626 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ ( sK17_SY864 @ SX0 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK15_SY630 @ SX0 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(207,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK13_SY622 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ ( sK14_SY862 @ SX0 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(208,plain,
! [SV30: $i] :
( ( ( ~ ( irel @ sK1_SY751 @ SV30 ) )
= $true )
| ( ( ~ ( ~ ( irel @ SV30 @ ( sK11_SY618 @ SV30 ) )
| ~ ~ ( ~ ! [SY878: $i] :
( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ SY878 )
| ( b1 @ SY878 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SV30 ) ) ) ) )
| ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(209,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK16_SY626 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ ( sK17_SY864 @ SX0 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK15_SY630 @ SX0 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(210,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK13_SY622 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ SX1 )
| ( b0 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SX0 ) @ ( sK14_SY862 @ SX0 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(211,plain,
! [SV30: $i] :
( ( ( irel @ sK1_SY751 @ SV30 )
= $false )
| ( ( ~ ( ~ ( irel @ SV30 @ ( sK11_SY618 @ SV30 ) )
| ~ ~ ( ~ ! [SY878: $i] :
( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ SY878 )
| ( b1 @ SY878 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SV30 ) ) ) ) )
| ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(212,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK16_SY626 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ ( sK17_SY864 @ SX0 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) )
| ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK15_SY630 @ SX0 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(213,plain,
! [SV31: $i] :
( ( ~ ( irel @ sK1_SY751 @ SV31 )
| ~ ( ~ ( irel @ SV31 @ ( sK13_SY622 @ SV31 ) )
| ~ ~ ( ~ ! [SY880: $i] :
( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ SY880 )
| ( b0 @ SY880 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SV31 ) ) ) ) )
| ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(214,plain,
! [SV30: $i] :
( ( ( ~ ( ~ ( irel @ SV30 @ ( sK11_SY618 @ SV30 ) )
| ~ ~ ( ~ ! [SY878: $i] :
( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ SY878 )
| ( b1 @ SY878 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SV30 ) ) ) ) ) )
= $true )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(215,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK16_SY626 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ ( sK17_SY864 @ SX0 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(216,plain,
( ( ~ ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK15_SY630 @ SX0 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(217,plain,
! [SV31: $i] :
( ( ( ~ ( irel @ sK1_SY751 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( irel @ SV31 @ ( sK13_SY622 @ SV31 ) )
| ~ ~ ( ~ ! [SY880: $i] :
( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ SY880 )
| ( b0 @ SY880 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SV31 ) ) ) ) )
| ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(218,plain,
! [SV30: $i] :
( ( ( ~ ( irel @ SV30 @ ( sK11_SY618 @ SV30 ) )
| ~ ~ ( ~ ! [SY878: $i] :
( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ SY878 )
| ( b1 @ SY878 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SV30 ) ) ) ) )
= $false )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(219,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK16_SY626 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ SX1 )
| ( b2 @ SX1 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SX0 ) @ ( sK17_SY864 @ SX0 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SX0 ) ) ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( a2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(220,plain,
( ( ! [SX0: $i] :
( ~ ( irel @ sK1_SY751 @ SX0 )
| ~ ( ~ ( irel @ SX0 @ ( sK15_SY630 @ SX0 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( f @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(221,plain,
! [SV31: $i] :
( ( ( irel @ sK1_SY751 @ SV31 )
= $false )
| ( ( ~ ( ~ ( irel @ SV31 @ ( sK13_SY622 @ SV31 ) )
| ~ ~ ( ~ ! [SY880: $i] :
( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ SY880 )
| ( b0 @ SY880 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SV31 ) ) ) ) )
| ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(222,plain,
! [SV30: $i] :
( ( ( ~ ( irel @ SV30 @ ( sK11_SY618 @ SV30 ) ) )
= $false )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(223,plain,
! [SV30: $i] :
( ( ( ~ ~ ( ~ ! [SY878: $i] :
( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ SY878 )
| ( b1 @ SY878 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SV30 ) ) ) ) )
= $false )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(224,plain,
! [SV32: $i] :
( ( ~ ( irel @ sK1_SY751 @ SV32 )
| ~ ( ~ ( irel @ SV32 @ ( sK16_SY626 @ SV32 ) )
| ~ ~ ( ~ ! [SY882: $i] :
( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ SY882 )
| ( b2 @ SY882 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SV32 ) ) ) ) )
| ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(225,plain,
! [SV33: $i] :
( ( ~ ( irel @ sK1_SY751 @ SV33 )
| ~ ( ~ ( irel @ SV33 @ ( sK15_SY630 @ SV33 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SV33 ) ) )
| ! [SY884: $i] :
( ~ ( irel @ SV33 @ SY884 )
| ( f @ SY884 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(226,plain,
! [SV31: $i] :
( ( ( ~ ( ~ ( irel @ SV31 @ ( sK13_SY622 @ SV31 ) )
| ~ ~ ( ~ ! [SY880: $i] :
( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ SY880 )
| ( b0 @ SY880 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SV31 ) ) ) ) ) )
= $true )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(227,plain,
! [SV30: $i] :
( ( ( irel @ SV30 @ ( sK11_SY618 @ SV30 ) )
= $true )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(228,plain,
! [SV30: $i] :
( ( ( ~ ( ~ ! [SY878: $i] :
( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ SY878 )
| ( b1 @ SY878 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SV30 ) ) ) ) )
= $true )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(229,plain,
! [SV32: $i] :
( ( ( ~ ( irel @ sK1_SY751 @ SV32 ) )
= $true )
| ( ( ~ ( ~ ( irel @ SV32 @ ( sK16_SY626 @ SV32 ) )
| ~ ~ ( ~ ! [SY882: $i] :
( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ SY882 )
| ( b2 @ SY882 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SV32 ) ) ) ) )
| ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(230,plain,
! [SV33: $i] :
( ( ( ~ ( irel @ sK1_SY751 @ SV33 ) )
= $true )
| ( ( ~ ( ~ ( irel @ SV33 @ ( sK15_SY630 @ SV33 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SV33 ) ) )
| ! [SY884: $i] :
( ~ ( irel @ SV33 @ SY884 )
| ( f @ SY884 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(231,plain,
! [SV31: $i] :
( ( ( ~ ( irel @ SV31 @ ( sK13_SY622 @ SV31 ) )
| ~ ~ ( ~ ! [SY880: $i] :
( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ SY880 )
| ( b0 @ SY880 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SV31 ) ) ) ) )
= $false )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(232,plain,
! [SV34: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV34 )
| ( a1 @ SV34 ) )
= $true )
| ( ( irel @ SV30 @ ( sK11_SY618 @ SV30 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(233,plain,
! [SV30: $i] :
( ( ( ~ ! [SY878: $i] :
( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ SY878 )
| ( b1 @ SY878 ) )
| ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SV30 ) ) ) )
= $false )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(234,plain,
! [SV32: $i] :
( ( ( irel @ sK1_SY751 @ SV32 )
= $false )
| ( ( ~ ( ~ ( irel @ SV32 @ ( sK16_SY626 @ SV32 ) )
| ~ ~ ( ~ ! [SY882: $i] :
( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ SY882 )
| ( b2 @ SY882 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SV32 ) ) ) ) )
| ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(235,plain,
! [SV33: $i] :
( ( ( irel @ sK1_SY751 @ SV33 )
= $false )
| ( ( ~ ( ~ ( irel @ SV33 @ ( sK15_SY630 @ SV33 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SV33 ) ) )
| ! [SY884: $i] :
( ~ ( irel @ SV33 @ SY884 )
| ( f @ SY884 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(236,plain,
! [SV31: $i] :
( ( ( ~ ( irel @ SV31 @ ( sK13_SY622 @ SV31 ) ) )
= $false )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(237,plain,
! [SV31: $i] :
( ( ( ~ ~ ( ~ ! [SY880: $i] :
( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ SY880 )
| ( b0 @ SY880 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SV31 ) ) ) ) )
= $false )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(238,plain,
! [SV34: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV34 ) )
= $true )
| ( ( a1 @ SV34 )
= $true )
| ( ( irel @ SV30 @ ( sK11_SY618 @ SV30 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(239,plain,
! [SV30: $i] :
( ( ( ~ ! [SY878: $i] :
( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ SY878 )
| ( b1 @ SY878 ) ) )
= $false )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(240,plain,
! [SV30: $i] :
( ( ( ~ ~ ( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SV30 ) ) ) )
= $false )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(241,plain,
! [SV32: $i] :
( ( ( ~ ( ~ ( irel @ SV32 @ ( sK16_SY626 @ SV32 ) )
| ~ ~ ( ~ ! [SY882: $i] :
( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ SY882 )
| ( b2 @ SY882 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SV32 ) ) ) ) ) )
= $true )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(242,plain,
! [SV33: $i] :
( ( ( ~ ( ~ ( irel @ SV33 @ ( sK15_SY630 @ SV33 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SV33 ) ) ) )
= $true )
| ( ( ! [SY884: $i] :
( ~ ( irel @ SV33 @ SY884 )
| ( f @ SY884 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(243,plain,
! [SV31: $i] :
( ( ( irel @ SV31 @ ( sK13_SY622 @ SV31 ) )
= $true )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(244,plain,
! [SV31: $i] :
( ( ( ~ ( ~ ! [SY880: $i] :
( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ SY880 )
| ( b0 @ SY880 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SV31 ) ) ) ) )
= $true )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(245,plain,
! [SV34: $i,SV30: $i] :
( ( ( irel @ SV30 @ SV34 )
= $false )
| ( ( a1 @ SV34 )
= $true )
| ( ( irel @ SV30 @ ( sK11_SY618 @ SV30 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(246,plain,
! [SV30: $i] :
( ( ( ! [SY878: $i] :
( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ SY878 )
| ( b1 @ SY878 ) ) )
= $true )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(247,plain,
! [SV30: $i] :
( ( ( ~ ( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SV30 ) ) ) )
= $true )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(248,plain,
! [SV32: $i] :
( ( ( ~ ( irel @ SV32 @ ( sK16_SY626 @ SV32 ) )
| ~ ~ ( ~ ! [SY882: $i] :
( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ SY882 )
| ( b2 @ SY882 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SV32 ) ) ) ) )
= $false )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(249,plain,
! [SV33: $i] :
( ( ( ~ ( irel @ SV33 @ ( sK15_SY630 @ SV33 ) )
| ~ ~ ( a0 @ ( sK15_SY630 @ SV33 ) ) )
= $false )
| ( ( ! [SY884: $i] :
( ~ ( irel @ SV33 @ SY884 )
| ( f @ SY884 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(250,plain,
! [SV35: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV35 )
| ( a0 @ SV35 ) )
= $true )
| ( ( irel @ SV31 @ ( sK13_SY622 @ SV31 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(251,plain,
! [SV31: $i] :
( ( ( ~ ! [SY880: $i] :
( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ SY880 )
| ( b0 @ SY880 ) )
| ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SV31 ) ) ) )
= $false )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(252,plain,
! [SV36: $i,SV30: $i] :
( ( ( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ SV36 )
| ( b1 @ SV36 ) )
= $true )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(253,plain,
! [SV30: $i] :
( ( ( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
| ~ ~ ( a2 @ ( sK12_SY860 @ SV30 ) ) )
= $false )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(254,plain,
! [SV32: $i] :
( ( ( ~ ( irel @ SV32 @ ( sK16_SY626 @ SV32 ) ) )
= $false )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(255,plain,
! [SV32: $i] :
( ( ( ~ ~ ( ~ ! [SY882: $i] :
( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ SY882 )
| ( b2 @ SY882 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SV32 ) ) ) ) )
= $false )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(256,plain,
! [SV33: $i] :
( ( ( ~ ( irel @ SV33 @ ( sK15_SY630 @ SV33 ) ) )
= $false )
| ( ( ! [SY884: $i] :
( ~ ( irel @ SV33 @ SY884 )
| ( f @ SY884 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(257,plain,
! [SV33: $i] :
( ( ( ~ ~ ( a0 @ ( sK15_SY630 @ SV33 ) ) )
= $false )
| ( ( ! [SY884: $i] :
( ~ ( irel @ SV33 @ SY884 )
| ( f @ SY884 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(258,plain,
! [SV35: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV35 ) )
= $true )
| ( ( a0 @ SV35 )
= $true )
| ( ( irel @ SV31 @ ( sK13_SY622 @ SV31 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(259,plain,
! [SV31: $i] :
( ( ( ~ ! [SY880: $i] :
( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ SY880 )
| ( b0 @ SY880 ) ) )
= $false )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(260,plain,
! [SV31: $i] :
( ( ( ~ ~ ( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SV31 ) ) ) )
= $false )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(261,plain,
! [SV36: $i,SV30: $i] :
( ( ( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ SV36 ) )
= $true )
| ( ( b1 @ SV36 )
= $true )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(262,plain,
! [SV30: $i] :
( ( ( ~ ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) ) )
= $false )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(263,plain,
! [SV30: $i] :
( ( ( ~ ~ ( a2 @ ( sK12_SY860 @ SV30 ) ) )
= $false )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(264,plain,
! [SV32: $i] :
( ( ( irel @ SV32 @ ( sK16_SY626 @ SV32 ) )
= $true )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(265,plain,
! [SV32: $i] :
( ( ( ~ ( ~ ! [SY882: $i] :
( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ SY882 )
| ( b2 @ SY882 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SV32 ) ) ) ) )
= $true )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(266,plain,
! [SV33: $i] :
( ( ( irel @ SV33 @ ( sK15_SY630 @ SV33 ) )
= $true )
| ( ( ! [SY884: $i] :
( ~ ( irel @ SV33 @ SY884 )
| ( f @ SY884 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(267,plain,
! [SV33: $i] :
( ( ( ~ ( a0 @ ( sK15_SY630 @ SV33 ) ) )
= $true )
| ( ( ! [SY884: $i] :
( ~ ( irel @ SV33 @ SY884 )
| ( f @ SY884 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(268,plain,
! [SV35: $i,SV31: $i] :
( ( ( irel @ SV31 @ SV35 )
= $false )
| ( ( a0 @ SV35 )
= $true )
| ( ( irel @ SV31 @ ( sK13_SY622 @ SV31 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(269,plain,
! [SV31: $i] :
( ( ( ! [SY880: $i] :
( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ SY880 )
| ( b0 @ SY880 ) ) )
= $true )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(270,plain,
! [SV31: $i] :
( ( ( ~ ( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SV31 ) ) ) )
= $true )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(271,plain,
! [SV36: $i,SV30: $i] :
( ( ( irel @ ( sK11_SY618 @ SV30 ) @ SV36 )
= $false )
| ( ( b1 @ SV36 )
= $true )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(272,plain,
! [SV30: $i] :
( ( ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
= $true )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(273,plain,
! [SV30: $i] :
( ( ( ~ ( a2 @ ( sK12_SY860 @ SV30 ) ) )
= $true )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(274,plain,
! [SV37: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV37 )
| ( a2 @ SV37 ) )
= $true )
| ( ( irel @ SV32 @ ( sK16_SY626 @ SV32 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(275,plain,
! [SV32: $i] :
( ( ( ~ ! [SY882: $i] :
( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ SY882 )
| ( b2 @ SY882 ) )
| ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SV32 ) ) ) )
= $false )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(276,plain,
! [SV38: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ SV38 )
| ( f @ SV38 ) )
= $true )
| ( ( irel @ SV33 @ ( sK15_SY630 @ SV33 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(277,plain,
! [SV33: $i] :
( ( ( a0 @ ( sK15_SY630 @ SV33 ) )
= $false )
| ( ( ! [SY884: $i] :
( ~ ( irel @ SV33 @ SY884 )
| ( f @ SY884 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(278,plain,
! [SV39: $i,SV31: $i] :
( ( ( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ SV39 )
| ( b0 @ SV39 ) )
= $true )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(279,plain,
! [SV31: $i] :
( ( ( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
| ~ ~ ( a1 @ ( sK14_SY862 @ SV31 ) ) )
= $false )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(280,plain,
! [SV36: $i,SV40: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV40 )
| ( a1 @ SV40 ) )
= $true )
| ( ( b1 @ SV36 )
= $true )
| ( ( irel @ ( sK11_SY618 @ SV30 ) @ SV36 )
= $false )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(281,plain,
! [SV41: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV41 )
| ( a1 @ SV41 ) )
= $true )
| ( ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(282,plain,
! [SV30: $i] :
( ( ( a2 @ ( sK12_SY860 @ SV30 ) )
= $false )
| ( ( ! [SY879: $i] :
( ~ ( irel @ SV30 @ SY879 )
| ( a1 @ SY879 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(283,plain,
! [SV37: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV37 ) )
= $true )
| ( ( a2 @ SV37 )
= $true )
| ( ( irel @ SV32 @ ( sK16_SY626 @ SV32 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(284,plain,
! [SV32: $i] :
( ( ( ~ ! [SY882: $i] :
( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ SY882 )
| ( b2 @ SY882 ) ) )
= $false )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(285,plain,
! [SV32: $i] :
( ( ( ~ ~ ( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SV32 ) ) ) )
= $false )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(286,plain,
! [SV38: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ SV38 ) )
= $true )
| ( ( f @ SV38 )
= $true )
| ( ( irel @ SV33 @ ( sK15_SY630 @ SV33 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(287,plain,
! [SV42: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ SV42 )
| ( f @ SV42 ) )
= $true )
| ( ( a0 @ ( sK15_SY630 @ SV33 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(288,plain,
! [SV39: $i,SV31: $i] :
( ( ( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ SV39 ) )
= $true )
| ( ( b0 @ SV39 )
= $true )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(289,plain,
! [SV31: $i] :
( ( ( ~ ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) ) )
= $false )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(290,plain,
! [SV31: $i] :
( ( ( ~ ~ ( a1 @ ( sK14_SY862 @ SV31 ) ) )
= $false )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(291,plain,
! [SV36: $i,SV40: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV40 ) )
= $true )
| ( ( a1 @ SV40 )
= $true )
| ( ( b1 @ SV36 )
= $true )
| ( ( irel @ ( sK11_SY618 @ SV30 ) @ SV36 )
= $false )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(292,plain,
! [SV41: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV41 ) )
= $true )
| ( ( a1 @ SV41 )
= $true )
| ( ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(293,plain,
! [SV43: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV43 )
| ( a1 @ SV43 ) )
= $true )
| ( ( a2 @ ( sK12_SY860 @ SV30 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(294,plain,
! [SV37: $i,SV32: $i] :
( ( ( irel @ SV32 @ SV37 )
= $false )
| ( ( a2 @ SV37 )
= $true )
| ( ( irel @ SV32 @ ( sK16_SY626 @ SV32 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(295,plain,
! [SV32: $i] :
( ( ( ! [SY882: $i] :
( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ SY882 )
| ( b2 @ SY882 ) ) )
= $true )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(296,plain,
! [SV32: $i] :
( ( ( ~ ( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SV32 ) ) ) )
= $true )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(297,plain,
! [SV38: $i,SV33: $i] :
( ( ( irel @ SV33 @ SV38 )
= $false )
| ( ( f @ SV38 )
= $true )
| ( ( irel @ SV33 @ ( sK15_SY630 @ SV33 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(298,plain,
! [SV42: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ SV42 ) )
= $true )
| ( ( f @ SV42 )
= $true )
| ( ( a0 @ ( sK15_SY630 @ SV33 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(299,plain,
! [SV39: $i,SV31: $i] :
( ( ( irel @ ( sK13_SY622 @ SV31 ) @ SV39 )
= $false )
| ( ( b0 @ SV39 )
= $true )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(300,plain,
! [SV31: $i] :
( ( ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
= $true )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(301,plain,
! [SV31: $i] :
( ( ( ~ ( a1 @ ( sK14_SY862 @ SV31 ) ) )
= $true )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(302,plain,
! [SV36: $i,SV40: $i,SV30: $i] :
( ( ( irel @ SV30 @ SV40 )
= $false )
| ( ( a1 @ SV40 )
= $true )
| ( ( b1 @ SV36 )
= $true )
| ( ( irel @ ( sK11_SY618 @ SV30 ) @ SV36 )
= $false )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(303,plain,
! [SV41: $i,SV30: $i] :
( ( ( irel @ SV30 @ SV41 )
= $false )
| ( ( a1 @ SV41 )
= $true )
| ( ( irel @ ( sK11_SY618 @ SV30 ) @ ( sK12_SY860 @ SV30 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(304,plain,
! [SV43: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV43 ) )
= $true )
| ( ( a1 @ SV43 )
= $true )
| ( ( a2 @ ( sK12_SY860 @ SV30 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(305,plain,
! [SV44: $i,SV32: $i] :
( ( ( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ SV44 )
| ( b2 @ SV44 ) )
= $true )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(306,plain,
! [SV32: $i] :
( ( ( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
| ~ ~ ( b0 @ ( sK17_SY864 @ SV32 ) ) )
= $false )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(307,plain,
! [SV42: $i,SV33: $i] :
( ( ( irel @ SV33 @ SV42 )
= $false )
| ( ( f @ SV42 )
= $true )
| ( ( a0 @ ( sK15_SY630 @ SV33 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(308,plain,
! [SV39: $i,SV45: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV45 )
| ( a0 @ SV45 ) )
= $true )
| ( ( b0 @ SV39 )
= $true )
| ( ( irel @ ( sK13_SY622 @ SV31 ) @ SV39 )
= $false )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(309,plain,
! [SV46: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV46 )
| ( a0 @ SV46 ) )
= $true )
| ( ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(310,plain,
! [SV31: $i] :
( ( ( a1 @ ( sK14_SY862 @ SV31 ) )
= $false )
| ( ( ! [SY881: $i] :
( ~ ( irel @ SV31 @ SY881 )
| ( a0 @ SY881 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(311,plain,
! [SV43: $i,SV30: $i] :
( ( ( irel @ SV30 @ SV43 )
= $false )
| ( ( a1 @ SV43 )
= $true )
| ( ( a2 @ ( sK12_SY860 @ SV30 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(312,plain,
! [SV44: $i,SV32: $i] :
( ( ( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ SV44 ) )
= $true )
| ( ( b2 @ SV44 )
= $true )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(313,plain,
! [SV32: $i] :
( ( ( ~ ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) ) )
= $false )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(314,plain,
! [SV32: $i] :
( ( ( ~ ~ ( b0 @ ( sK17_SY864 @ SV32 ) ) )
= $false )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(315,plain,
! [SV39: $i,SV45: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV45 ) )
= $true )
| ( ( a0 @ SV45 )
= $true )
| ( ( b0 @ SV39 )
= $true )
| ( ( irel @ ( sK13_SY622 @ SV31 ) @ SV39 )
= $false )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(316,plain,
! [SV46: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV46 ) )
= $true )
| ( ( a0 @ SV46 )
= $true )
| ( ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(317,plain,
! [SV47: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV47 )
| ( a0 @ SV47 ) )
= $true )
| ( ( a1 @ ( sK14_SY862 @ SV31 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(318,plain,
! [SV44: $i,SV32: $i] :
( ( ( irel @ ( sK16_SY626 @ SV32 ) @ SV44 )
= $false )
| ( ( b2 @ SV44 )
= $true )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(319,plain,
! [SV32: $i] :
( ( ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
= $true )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(320,plain,
! [SV32: $i] :
( ( ( ~ ( b0 @ ( sK17_SY864 @ SV32 ) ) )
= $true )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(321,plain,
! [SV39: $i,SV45: $i,SV31: $i] :
( ( ( irel @ SV31 @ SV45 )
= $false )
| ( ( a0 @ SV45 )
= $true )
| ( ( b0 @ SV39 )
= $true )
| ( ( irel @ ( sK13_SY622 @ SV31 ) @ SV39 )
= $false )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(322,plain,
! [SV46: $i,SV31: $i] :
( ( ( irel @ SV31 @ SV46 )
= $false )
| ( ( a0 @ SV46 )
= $true )
| ( ( irel @ ( sK13_SY622 @ SV31 ) @ ( sK14_SY862 @ SV31 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(323,plain,
! [SV47: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV47 ) )
= $true )
| ( ( a0 @ SV47 )
= $true )
| ( ( a1 @ ( sK14_SY862 @ SV31 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(324,plain,
! [SV44: $i,SV48: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV48 )
| ( a2 @ SV48 ) )
= $true )
| ( ( b2 @ SV44 )
= $true )
| ( ( irel @ ( sK16_SY626 @ SV32 ) @ SV44 )
= $false )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(325,plain,
! [SV49: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV49 )
| ( a2 @ SV49 ) )
= $true )
| ( ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(326,plain,
! [SV32: $i] :
( ( ( b0 @ ( sK17_SY864 @ SV32 ) )
= $false )
| ( ( ! [SY883: $i] :
( ~ ( irel @ SV32 @ SY883 )
| ( a2 @ SY883 ) ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(327,plain,
! [SV47: $i,SV31: $i] :
( ( ( irel @ SV31 @ SV47 )
= $false )
| ( ( a0 @ SV47 )
= $true )
| ( ( a1 @ ( sK14_SY862 @ SV31 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(328,plain,
! [SV44: $i,SV48: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV48 ) )
= $true )
| ( ( a2 @ SV48 )
= $true )
| ( ( b2 @ SV44 )
= $true )
| ( ( irel @ ( sK16_SY626 @ SV32 ) @ SV44 )
= $false )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(329,plain,
! [SV49: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV49 ) )
= $true )
| ( ( a2 @ SV49 )
= $true )
| ( ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(330,plain,
! [SV50: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV50 )
| ( a2 @ SV50 ) )
= $true )
| ( ( b0 @ ( sK17_SY864 @ SV32 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(331,plain,
! [SV44: $i,SV48: $i,SV32: $i] :
( ( ( irel @ SV32 @ SV48 )
= $false )
| ( ( a2 @ SV48 )
= $true )
| ( ( b2 @ SV44 )
= $true )
| ( ( irel @ ( sK16_SY626 @ SV32 ) @ SV44 )
= $false )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(332,plain,
! [SV49: $i,SV32: $i] :
( ( ( irel @ SV32 @ SV49 )
= $false )
| ( ( a2 @ SV49 )
= $true )
| ( ( irel @ ( sK16_SY626 @ SV32 ) @ ( sK17_SY864 @ SV32 ) )
= $true )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(333,plain,
! [SV50: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV50 ) )
= $true )
| ( ( a2 @ SV50 )
= $true )
| ( ( b0 @ ( sK17_SY864 @ SV32 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(334,plain,
! [SV50: $i,SV32: $i] :
( ( ( irel @ SV32 @ SV50 )
= $false )
| ( ( a2 @ SV50 )
= $true )
| ( ( b0 @ ( sK17_SY864 @ SV32 ) )
= $false )
| ( ( irel @ sK1_SY751 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(335,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[180,334,332,331,327,322,321,311,307,303,302,297,294,268,245,205,202,200]) ).
thf(336,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[335,175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYO069^4.002 : 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
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Oct 6 17:31:16 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 65.03/11.10
% 65.03/11.10 No.of.Axioms: 2
% 65.03/11.10
% 65.03/11.10 Length.of.Defs: 2734
% 65.03/11.10
% 65.03/11.10 Contains.Choice.Funs: false
% 65.03/11.10 .......................
% 65.03/11.10
% 65.03/11.10 ********************************
% 65.03/11.10 * All subproblems solved! *
% 65.03/11.10 ********************************
% 65.03/11.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:2,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:335,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 65.03/11.10
% 65.03/11.10 %**** Beginning of derivation protocol ****
% 65.03/11.10 % SZS output start CNFRefutation
% See solution above
% 65.03/11.10
% 65.03/11.10 %**** End of derivation protocol ****
% 65.03/11.10 %**** no. of clauses in derivation: 336 ****
% 65.03/11.10 %**** clause counter: 335 ****
% 65.03/11.10
% 65.03/11.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:2,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:335,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------