TSTP Solution File: SYO068^4.020 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO068^4.020 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 17:31:55 EDT 2022
% Result : Theorem 0.37s 0.63s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 145
% Syntax : Number of formulae : 947 ( 98 unt; 102 typ; 19 def)
% Number of atoms : 10233 (2747 equ; 0 cnn)
% Maximal formula atoms : 9 ( 12 avg)
% Number of connectives : 14326 (1881 ~;3559 |; 2 &;8882 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 216 ( 216 >; 0 *; 0 +; 0 <<)
% Number of symbols : 105 ( 102 usr; 3 con; 0-3 aty)
% Number of variables : 2793 ( 31 ^2760 !; 2 ?;2793 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_iand,type,
iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_iatom,type,
iatom: ( $i > $o ) > $i > $o ).
thf(tp_icountersatisfiable,type,
icountersatisfiable: ( $i > $o ) > $o ).
thf(tp_iequiv,type,
iequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_ifalse,type,
ifalse: $i > $o ).
thf(tp_iimplied,type,
iimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_iimplies,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_iinvalid,type,
iinvalid: ( $i > $o ) > $o ).
thf(tp_inot,type,
inot: ( $i > $o ) > $i > $o ).
thf(tp_ior,type,
ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_irel,type,
irel: $i > $i > $o ).
thf(tp_isatisfiable,type,
isatisfiable: ( $i > $o ) > $o ).
thf(tp_itrue,type,
itrue: $i > $o ).
thf(tp_ivalid,type,
ivalid: ( $i > $o ) > $o ).
thf(tp_ixor,type,
ixor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mbox_s4,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(tp_mimplies,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mnot,type,
mnot: ( $i > $o ) > $i > $o ).
thf(tp_mor,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_p0,type,
p0: $i > $o ).
thf(tp_p1,type,
p1: $i > $o ).
thf(tp_p10,type,
p10: $i > $o ).
thf(tp_p11,type,
p11: $i > $o ).
thf(tp_p12,type,
p12: $i > $o ).
thf(tp_p13,type,
p13: $i > $o ).
thf(tp_p14,type,
p14: $i > $o ).
thf(tp_p15,type,
p15: $i > $o ).
thf(tp_p16,type,
p16: $i > $o ).
thf(tp_p17,type,
p17: $i > $o ).
thf(tp_p18,type,
p18: $i > $o ).
thf(tp_p19,type,
p19: $i > $o ).
thf(tp_p2,type,
p2: $i > $o ).
thf(tp_p20,type,
p20: $i > $o ).
thf(tp_p3,type,
p3: $i > $o ).
thf(tp_p4,type,
p4: $i > $o ).
thf(tp_p5,type,
p5: $i > $o ).
thf(tp_p6,type,
p6: $i > $o ).
thf(tp_p7,type,
p7: $i > $o ).
thf(tp_p8,type,
p8: $i > $o ).
thf(tp_p9,type,
p9: $i > $o ).
thf(tp_sK10_SY34,type,
sK10_SY34: $i > $i ).
thf(tp_sK11_SY38,type,
sK11_SY38: $i > $i ).
thf(tp_sK12_SY42,type,
sK12_SY42: $i > $i ).
thf(tp_sK13_SY46,type,
sK13_SY46: $i > $i ).
thf(tp_sK14_SY50,type,
sK14_SY50: $i > $i ).
thf(tp_sK15_SY54,type,
sK15_SY54: $i > $i ).
thf(tp_sK16_SY58,type,
sK16_SY58: $i > $i ).
thf(tp_sK17_SY62,type,
sK17_SY62: $i > $i ).
thf(tp_sK18_SY66,type,
sK18_SY66: $i > $i ).
thf(tp_sK19_SY70,type,
sK19_SY70: $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK20_SY74,type,
sK20_SY74: $i > $i ).
thf(tp_sK21_SY78,type,
sK21_SY78: $i > $i ).
thf(tp_sK22_SY83,type,
sK22_SY83: $i > $i > $i ).
thf(tp_sK23_SY85,type,
sK23_SY85: $i > $i > $i ).
thf(tp_sK24_SY87,type,
sK24_SY87: $i > $i > $i ).
thf(tp_sK25_SY89,type,
sK25_SY89: $i > $i > $i ).
thf(tp_sK26_SY91,type,
sK26_SY91: $i > $i > $i ).
thf(tp_sK27_SY93,type,
sK27_SY93: $i > $i > $i ).
thf(tp_sK28_SY95,type,
sK28_SY95: $i > $i > $i ).
thf(tp_sK29_SY97,type,
sK29_SY97: $i > $i > $i ).
thf(tp_sK2_SY2,type,
sK2_SY2: $i > $i ).
thf(tp_sK30_SY99,type,
sK30_SY99: $i > $i > $i ).
thf(tp_sK31_SY101,type,
sK31_SY101: $i > $i > $i ).
thf(tp_sK32_SY103,type,
sK32_SY103: $i > $i > $i ).
thf(tp_sK33_SY105,type,
sK33_SY105: $i > $i > $i ).
thf(tp_sK34_SY107,type,
sK34_SY107: $i > $i > $i ).
thf(tp_sK35_SY109,type,
sK35_SY109: $i > $i > $i ).
thf(tp_sK36_SY111,type,
sK36_SY111: $i > $i > $i ).
thf(tp_sK37_SY113,type,
sK37_SY113: $i > $i > $i ).
thf(tp_sK38_SY115,type,
sK38_SY115: $i > $i > $i ).
thf(tp_sK39_SY117,type,
sK39_SY117: $i > $i > $i ).
thf(tp_sK3_SY6,type,
sK3_SY6: $i > $i ).
thf(tp_sK40_SY119,type,
sK40_SY119: $i > $i > $i ).
thf(tp_sK41_SY121,type,
sK41_SY121: $i > $i > $i ).
thf(tp_sK42_SY123,type,
sK42_SY123: $i > $i > $i ).
thf(tp_sK43_SY125,type,
sK43_SY125: $i > $i > $i ).
thf(tp_sK44_SY127,type,
sK44_SY127: $i > $i > $i ).
thf(tp_sK45_SY129,type,
sK45_SY129: $i > $i > $i ).
thf(tp_sK46_SY131,type,
sK46_SY131: $i > $i > $i ).
thf(tp_sK47_SY133,type,
sK47_SY133: $i > $i > $i ).
thf(tp_sK48_SY135,type,
sK48_SY135: $i > $i > $i ).
thf(tp_sK49_SY137,type,
sK49_SY137: $i > $i > $i ).
thf(tp_sK4_SY10,type,
sK4_SY10: $i > $i ).
thf(tp_sK50_SY139,type,
sK50_SY139: $i > $i > $i ).
thf(tp_sK51_SY141,type,
sK51_SY141: $i > $i > $i ).
thf(tp_sK52_SY143,type,
sK52_SY143: $i > $i > $i ).
thf(tp_sK53_SY145,type,
sK53_SY145: $i > $i > $i ).
thf(tp_sK54_SY147,type,
sK54_SY147: $i > $i > $i ).
thf(tp_sK55_SY149,type,
sK55_SY149: $i > $i > $i ).
thf(tp_sK56_SY151,type,
sK56_SY151: $i > $i > $i ).
thf(tp_sK57_SY153,type,
sK57_SY153: $i > $i > $i ).
thf(tp_sK58_SY155,type,
sK58_SY155: $i > $i > $i ).
thf(tp_sK59_SY157,type,
sK59_SY157: $i > $i > $i ).
thf(tp_sK5_SY14,type,
sK5_SY14: $i > $i ).
thf(tp_sK60_SY159,type,
sK60_SY159: $i > $i > $i ).
thf(tp_sK61_SY161,type,
sK61_SY161: $i > $i > $i ).
thf(tp_sK6_SY18,type,
sK6_SY18: $i > $i ).
thf(tp_sK7_SY22,type,
sK7_SY22: $i > $i ).
thf(tp_sK8_SY26,type,
sK8_SY26: $i > $i ).
thf(tp_sK9_SY30,type,
sK9_SY30: $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,
ivalid @ ( iimplies @ ( iatom @ p20 ) @ ( iimplies @ ( iatom @ p20 ) @ ( iatom @ p19 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom21) ).
thf(2,axiom,
ivalid @ ( iimplies @ ( iatom @ p19 ) @ ( iimplies @ ( iatom @ p19 ) @ ( iatom @ p18 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom20) ).
thf(3,axiom,
ivalid @ ( iimplies @ ( iatom @ p18 ) @ ( iimplies @ ( iatom @ p18 ) @ ( iatom @ p17 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom19) ).
thf(4,axiom,
ivalid @ ( iimplies @ ( iatom @ p17 ) @ ( iimplies @ ( iatom @ p17 ) @ ( iatom @ p16 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom18) ).
thf(5,axiom,
ivalid @ ( iimplies @ ( iatom @ p16 ) @ ( iimplies @ ( iatom @ p16 ) @ ( iatom @ p15 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom17) ).
thf(6,axiom,
ivalid @ ( iimplies @ ( iatom @ p15 ) @ ( iimplies @ ( iatom @ p15 ) @ ( iatom @ p14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom16) ).
thf(7,axiom,
ivalid @ ( iimplies @ ( iatom @ p14 ) @ ( iimplies @ ( iatom @ p14 ) @ ( iatom @ p13 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom15) ).
thf(8,axiom,
ivalid @ ( iimplies @ ( iatom @ p13 ) @ ( iimplies @ ( iatom @ p13 ) @ ( iatom @ p12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom14) ).
thf(9,axiom,
ivalid @ ( iimplies @ ( iatom @ p12 ) @ ( iimplies @ ( iatom @ p12 ) @ ( iatom @ p11 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom13) ).
thf(10,axiom,
ivalid @ ( iimplies @ ( iatom @ p11 ) @ ( iimplies @ ( iatom @ p11 ) @ ( iatom @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom12) ).
thf(11,axiom,
ivalid @ ( iimplies @ ( iatom @ p10 ) @ ( iimplies @ ( iatom @ p10 ) @ ( iatom @ p9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom11) ).
thf(12,axiom,
ivalid @ ( iimplies @ ( iatom @ p9 ) @ ( iimplies @ ( iatom @ p9 ) @ ( iatom @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom10) ).
thf(13,axiom,
ivalid @ ( iimplies @ ( iatom @ p8 ) @ ( iimplies @ ( iatom @ p8 ) @ ( iatom @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom9) ).
thf(14,axiom,
ivalid @ ( iimplies @ ( iatom @ p7 ) @ ( iimplies @ ( iatom @ p7 ) @ ( iatom @ p6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).
thf(15,axiom,
ivalid @ ( iimplies @ ( iatom @ p6 ) @ ( iimplies @ ( iatom @ p6 ) @ ( iatom @ p5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom7) ).
thf(16,axiom,
ivalid @ ( iimplies @ ( iatom @ p5 ) @ ( iimplies @ ( iatom @ p5 ) @ ( iatom @ p4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom6) ).
thf(17,axiom,
ivalid @ ( iimplies @ ( iatom @ p4 ) @ ( iimplies @ ( iatom @ p4 ) @ ( iatom @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom5) ).
thf(18,axiom,
ivalid @ ( iimplies @ ( iatom @ p3 ) @ ( iimplies @ ( iatom @ p3 ) @ ( iatom @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom4) ).
thf(19,axiom,
ivalid @ ( iimplies @ ( iatom @ p2 ) @ ( iimplies @ ( iatom @ p2 ) @ ( iatom @ p1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom3) ).
thf(20,axiom,
ivalid @ ( iimplies @ ( iatom @ p1 ) @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ p0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom2) ).
thf(21,axiom,
ivalid @ ( iatom @ p20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1) ).
thf(22,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(23,axiom,
! [X: $i] : ( irel @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom) ).
thf(24,conjecture,
ivalid @ ( iatom @ p0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(25,negated_conjecture,
( ( ivalid @ ( iatom @ p0 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[24]) ).
thf(26,plain,
( ( ~ ( ivalid @ ( iatom @ p0 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[25]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( irel @ X @ Y )
| ~ ( irel @ Y @ Z )
| ( irel @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(28,plain,
( ( ! [X: $i] : ( irel @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(29,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( irel @ X @ Y )
| ~ ( irel @ Y @ Z )
| ( irel @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(30,plain,
( ( ivalid @ ( iatom @ p20 ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(31,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p1 ) @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ p0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(32,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p2 ) @ ( iimplies @ ( iatom @ p2 ) @ ( iatom @ p1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(33,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p3 ) @ ( iimplies @ ( iatom @ p3 ) @ ( iatom @ p2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(34,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p4 ) @ ( iimplies @ ( iatom @ p4 ) @ ( iatom @ p3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(35,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p5 ) @ ( iimplies @ ( iatom @ p5 ) @ ( iatom @ p4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(36,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p6 ) @ ( iimplies @ ( iatom @ p6 ) @ ( iatom @ p5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(37,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p7 ) @ ( iimplies @ ( iatom @ p7 ) @ ( iatom @ p6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(38,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p8 ) @ ( iimplies @ ( iatom @ p8 ) @ ( iatom @ p7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(39,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p9 ) @ ( iimplies @ ( iatom @ p9 ) @ ( iatom @ p8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(40,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p10 ) @ ( iimplies @ ( iatom @ p10 ) @ ( iatom @ p9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(41,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p11 ) @ ( iimplies @ ( iatom @ p11 ) @ ( iatom @ p10 ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(42,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p12 ) @ ( iimplies @ ( iatom @ p12 ) @ ( iatom @ p11 ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(43,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p13 ) @ ( iimplies @ ( iatom @ p13 ) @ ( iatom @ p12 ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(44,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p14 ) @ ( iimplies @ ( iatom @ p14 ) @ ( iatom @ p13 ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(45,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p15 ) @ ( iimplies @ ( iatom @ p15 ) @ ( iatom @ p14 ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(46,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p16 ) @ ( iimplies @ ( iatom @ p16 ) @ ( iatom @ p15 ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(47,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p17 ) @ ( iimplies @ ( iatom @ p17 ) @ ( iatom @ p16 ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(48,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p18 ) @ ( iimplies @ ( iatom @ p18 ) @ ( iatom @ p17 ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(49,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p19 ) @ ( iimplies @ ( iatom @ p19 ) @ ( iatom @ p18 ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(50,plain,
( ( ivalid @ ( iimplies @ ( iatom @ p20 ) @ ( iimplies @ ( iatom @ p20 ) @ ( iatom @ p19 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(51,plain,
( ( ~ ( ivalid @ ( iatom @ p0 ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(52,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p13 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p13 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p12 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(53,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p5 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p4 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(54,plain,
( ( ~ ! [SX0: $i] : ( p0 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[51,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(55,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p9 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p8 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(56,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p16 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p16 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p15 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(57,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p12 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p12 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p11 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(58,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p11 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p11 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p10 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(59,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p6 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p5 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(60,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p7 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p6 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(61,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p3 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p2 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(62,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p14 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p14 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p13 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(63,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p17 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p17 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p16 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(64,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p15 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p15 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p14 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(65,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p18 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p18 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p17 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(66,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p4 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p3 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(67,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p1 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(68,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p8 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p7 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(69,plain,
( ( ! [SX0: $i] : ( p20 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[30,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(70,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p19 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p19 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p18 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(71,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p10 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p9 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(72,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p20 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p20 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p19 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(73,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ( p2 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( irel @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SX1 @ SX2 )
| ( p1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32,iand,iatom,icountersatisfiable,iequiv,ifalse,iimplied,iimplies,iinvalid,inot,ior,isatisfiable,itrue,ivalid,ixor,mand,mbox_s4,mimplies,mnot,mor]) ).
thf(74,plain,
! [SV1: $i] :
( ( irel @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(75,plain,
! [SV2: $i] :
( ( ! [SY0: $i,SY1: $i] :
( ~ ( irel @ SV2 @ SY0 )
| ~ ( irel @ SY0 @ SY1 )
| ( irel @ SV2 @ SY1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(76,plain,
! [SV3: $i] :
( ( ~ ! [SY2: $i] :
( ~ ( irel @ SV3 @ SY2 )
| ( p13 @ SY2 ) )
| ! [SY3: $i] :
( ~ ( irel @ SV3 @ SY3 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY3 @ SX2 )
| ( p13 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY3 @ SX2 )
| ( p12 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(77,plain,
! [SV4: $i] :
( ( ~ ! [SY6: $i] :
( ~ ( irel @ SV4 @ SY6 )
| ( p5 @ SY6 ) )
| ! [SY7: $i] :
( ~ ( irel @ SV4 @ SY7 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY7 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY7 @ SX2 )
| ( p4 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(78,plain,
( ( ! [SX0: $i] : ( p0 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(79,plain,
! [SV5: $i] :
( ( ~ ! [SY10: $i] :
( ~ ( irel @ SV5 @ SY10 )
| ( p9 @ SY10 ) )
| ! [SY11: $i] :
( ~ ( irel @ SV5 @ SY11 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY11 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY11 @ SX2 )
| ( p8 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(80,plain,
! [SV6: $i] :
( ( ~ ! [SY14: $i] :
( ~ ( irel @ SV6 @ SY14 )
| ( p16 @ SY14 ) )
| ! [SY15: $i] :
( ~ ( irel @ SV6 @ SY15 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY15 @ SX2 )
| ( p16 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY15 @ SX2 )
| ( p15 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(81,plain,
! [SV7: $i] :
( ( ~ ! [SY18: $i] :
( ~ ( irel @ SV7 @ SY18 )
| ( p12 @ SY18 ) )
| ! [SY19: $i] :
( ~ ( irel @ SV7 @ SY19 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY19 @ SX2 )
| ( p12 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY19 @ SX2 )
| ( p11 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(82,plain,
! [SV8: $i] :
( ( ~ ! [SY22: $i] :
( ~ ( irel @ SV8 @ SY22 )
| ( p11 @ SY22 ) )
| ! [SY23: $i] :
( ~ ( irel @ SV8 @ SY23 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY23 @ SX2 )
| ( p11 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY23 @ SX2 )
| ( p10 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(83,plain,
! [SV9: $i] :
( ( ~ ! [SY26: $i] :
( ~ ( irel @ SV9 @ SY26 )
| ( p6 @ SY26 ) )
| ! [SY27: $i] :
( ~ ( irel @ SV9 @ SY27 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY27 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY27 @ SX2 )
| ( p5 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(84,plain,
! [SV10: $i] :
( ( ~ ! [SY30: $i] :
( ~ ( irel @ SV10 @ SY30 )
| ( p7 @ SY30 ) )
| ! [SY31: $i] :
( ~ ( irel @ SV10 @ SY31 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY31 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY31 @ SX2 )
| ( p6 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(85,plain,
! [SV11: $i] :
( ( ~ ! [SY34: $i] :
( ~ ( irel @ SV11 @ SY34 )
| ( p3 @ SY34 ) )
| ! [SY35: $i] :
( ~ ( irel @ SV11 @ SY35 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY35 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY35 @ SX2 )
| ( p2 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(86,plain,
! [SV12: $i] :
( ( ~ ! [SY38: $i] :
( ~ ( irel @ SV12 @ SY38 )
| ( p14 @ SY38 ) )
| ! [SY39: $i] :
( ~ ( irel @ SV12 @ SY39 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY39 @ SX2 )
| ( p14 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY39 @ SX2 )
| ( p13 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(87,plain,
! [SV13: $i] :
( ( ~ ! [SY42: $i] :
( ~ ( irel @ SV13 @ SY42 )
| ( p17 @ SY42 ) )
| ! [SY43: $i] :
( ~ ( irel @ SV13 @ SY43 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY43 @ SX2 )
| ( p17 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY43 @ SX2 )
| ( p16 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(88,plain,
! [SV14: $i] :
( ( ~ ! [SY46: $i] :
( ~ ( irel @ SV14 @ SY46 )
| ( p15 @ SY46 ) )
| ! [SY47: $i] :
( ~ ( irel @ SV14 @ SY47 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY47 @ SX2 )
| ( p15 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY47 @ SX2 )
| ( p14 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(89,plain,
! [SV15: $i] :
( ( ~ ! [SY50: $i] :
( ~ ( irel @ SV15 @ SY50 )
| ( p18 @ SY50 ) )
| ! [SY51: $i] :
( ~ ( irel @ SV15 @ SY51 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY51 @ SX2 )
| ( p18 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY51 @ SX2 )
| ( p17 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(90,plain,
! [SV16: $i] :
( ( ~ ! [SY54: $i] :
( ~ ( irel @ SV16 @ SY54 )
| ( p4 @ SY54 ) )
| ! [SY55: $i] :
( ~ ( irel @ SV16 @ SY55 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY55 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY55 @ SX2 )
| ( p3 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(91,plain,
! [SV17: $i] :
( ( ~ ! [SY58: $i] :
( ~ ( irel @ SV17 @ SY58 )
| ( p1 @ SY58 ) )
| ! [SY59: $i] :
( ~ ( irel @ SV17 @ SY59 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY59 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY59 @ SX2 )
| ( p0 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(92,plain,
! [SV18: $i] :
( ( ~ ! [SY62: $i] :
( ~ ( irel @ SV18 @ SY62 )
| ( p8 @ SY62 ) )
| ! [SY63: $i] :
( ~ ( irel @ SV18 @ SY63 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY63 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY63 @ SX2 )
| ( p7 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(93,plain,
! [SV19: $i] :
( ( p20 @ SV19 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(94,plain,
! [SV20: $i] :
( ( ~ ! [SY66: $i] :
( ~ ( irel @ SV20 @ SY66 )
| ( p19 @ SY66 ) )
| ! [SY67: $i] :
( ~ ( irel @ SV20 @ SY67 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY67 @ SX2 )
| ( p19 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY67 @ SX2 )
| ( p18 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(95,plain,
! [SV21: $i] :
( ( ~ ! [SY70: $i] :
( ~ ( irel @ SV21 @ SY70 )
| ( p10 @ SY70 ) )
| ! [SY71: $i] :
( ~ ( irel @ SV21 @ SY71 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY71 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY71 @ SX2 )
| ( p9 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(96,plain,
! [SV22: $i] :
( ( ~ ! [SY74: $i] :
( ~ ( irel @ SV22 @ SY74 )
| ( p20 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( irel @ SV22 @ SY75 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY75 @ SX2 )
| ( p20 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY75 @ SX2 )
| ( p19 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(97,plain,
! [SV23: $i] :
( ( ~ ! [SY78: $i] :
( ~ ( irel @ SV23 @ SY78 )
| ( p2 @ SY78 ) )
| ! [SY79: $i] :
( ~ ( irel @ SV23 @ SY79 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY79 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY79 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(98,plain,
! [SV24: $i,SV2: $i] :
( ( ! [SY82: $i] :
( ~ ( irel @ SV2 @ SV24 )
| ~ ( irel @ SV24 @ SY82 )
| ( irel @ SV2 @ SY82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(99,plain,
! [SV3: $i] :
( ( ( ~ ! [SY2: $i] :
( ~ ( irel @ SV3 @ SY2 )
| ( p13 @ SY2 ) ) )
= $true )
| ( ( ! [SY3: $i] :
( ~ ( irel @ SV3 @ SY3 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY3 @ SX2 )
| ( p13 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY3 @ SX2 )
| ( p12 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(100,plain,
! [SV4: $i] :
( ( ( ~ ! [SY6: $i] :
( ~ ( irel @ SV4 @ SY6 )
| ( p5 @ SY6 ) ) )
= $true )
| ( ( ! [SY7: $i] :
( ~ ( irel @ SV4 @ SY7 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY7 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY7 @ SX2 )
| ( p4 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(101,plain,
( ( p0 @ sK1_SX0 )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[78]) ).
thf(102,plain,
! [SV5: $i] :
( ( ( ~ ! [SY10: $i] :
( ~ ( irel @ SV5 @ SY10 )
| ( p9 @ SY10 ) ) )
= $true )
| ( ( ! [SY11: $i] :
( ~ ( irel @ SV5 @ SY11 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY11 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY11 @ SX2 )
| ( p8 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(103,plain,
! [SV6: $i] :
( ( ( ~ ! [SY14: $i] :
( ~ ( irel @ SV6 @ SY14 )
| ( p16 @ SY14 ) ) )
= $true )
| ( ( ! [SY15: $i] :
( ~ ( irel @ SV6 @ SY15 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY15 @ SX2 )
| ( p16 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY15 @ SX2 )
| ( p15 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(104,plain,
! [SV7: $i] :
( ( ( ~ ! [SY18: $i] :
( ~ ( irel @ SV7 @ SY18 )
| ( p12 @ SY18 ) ) )
= $true )
| ( ( ! [SY19: $i] :
( ~ ( irel @ SV7 @ SY19 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY19 @ SX2 )
| ( p12 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY19 @ SX2 )
| ( p11 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(105,plain,
! [SV8: $i] :
( ( ( ~ ! [SY22: $i] :
( ~ ( irel @ SV8 @ SY22 )
| ( p11 @ SY22 ) ) )
= $true )
| ( ( ! [SY23: $i] :
( ~ ( irel @ SV8 @ SY23 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY23 @ SX2 )
| ( p11 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY23 @ SX2 )
| ( p10 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(106,plain,
! [SV9: $i] :
( ( ( ~ ! [SY26: $i] :
( ~ ( irel @ SV9 @ SY26 )
| ( p6 @ SY26 ) ) )
= $true )
| ( ( ! [SY27: $i] :
( ~ ( irel @ SV9 @ SY27 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY27 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY27 @ SX2 )
| ( p5 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(107,plain,
! [SV10: $i] :
( ( ( ~ ! [SY30: $i] :
( ~ ( irel @ SV10 @ SY30 )
| ( p7 @ SY30 ) ) )
= $true )
| ( ( ! [SY31: $i] :
( ~ ( irel @ SV10 @ SY31 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY31 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY31 @ SX2 )
| ( p6 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(108,plain,
! [SV11: $i] :
( ( ( ~ ! [SY34: $i] :
( ~ ( irel @ SV11 @ SY34 )
| ( p3 @ SY34 ) ) )
= $true )
| ( ( ! [SY35: $i] :
( ~ ( irel @ SV11 @ SY35 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY35 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY35 @ SX2 )
| ( p2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(109,plain,
! [SV12: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( irel @ SV12 @ SY38 )
| ( p14 @ SY38 ) ) )
= $true )
| ( ( ! [SY39: $i] :
( ~ ( irel @ SV12 @ SY39 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY39 @ SX2 )
| ( p14 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY39 @ SX2 )
| ( p13 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(110,plain,
! [SV13: $i] :
( ( ( ~ ! [SY42: $i] :
( ~ ( irel @ SV13 @ SY42 )
| ( p17 @ SY42 ) ) )
= $true )
| ( ( ! [SY43: $i] :
( ~ ( irel @ SV13 @ SY43 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY43 @ SX2 )
| ( p17 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY43 @ SX2 )
| ( p16 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(111,plain,
! [SV14: $i] :
( ( ( ~ ! [SY46: $i] :
( ~ ( irel @ SV14 @ SY46 )
| ( p15 @ SY46 ) ) )
= $true )
| ( ( ! [SY47: $i] :
( ~ ( irel @ SV14 @ SY47 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY47 @ SX2 )
| ( p15 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY47 @ SX2 )
| ( p14 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(112,plain,
! [SV15: $i] :
( ( ( ~ ! [SY50: $i] :
( ~ ( irel @ SV15 @ SY50 )
| ( p18 @ SY50 ) ) )
= $true )
| ( ( ! [SY51: $i] :
( ~ ( irel @ SV15 @ SY51 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY51 @ SX2 )
| ( p18 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY51 @ SX2 )
| ( p17 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(113,plain,
! [SV16: $i] :
( ( ( ~ ! [SY54: $i] :
( ~ ( irel @ SV16 @ SY54 )
| ( p4 @ SY54 ) ) )
= $true )
| ( ( ! [SY55: $i] :
( ~ ( irel @ SV16 @ SY55 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY55 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY55 @ SX2 )
| ( p3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(114,plain,
! [SV17: $i] :
( ( ( ~ ! [SY58: $i] :
( ~ ( irel @ SV17 @ SY58 )
| ( p1 @ SY58 ) ) )
= $true )
| ( ( ! [SY59: $i] :
( ~ ( irel @ SV17 @ SY59 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY59 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY59 @ SX2 )
| ( p0 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(115,plain,
! [SV18: $i] :
( ( ( ~ ! [SY62: $i] :
( ~ ( irel @ SV18 @ SY62 )
| ( p8 @ SY62 ) ) )
= $true )
| ( ( ! [SY63: $i] :
( ~ ( irel @ SV18 @ SY63 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY63 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY63 @ SX2 )
| ( p7 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(116,plain,
! [SV20: $i] :
( ( ( ~ ! [SY66: $i] :
( ~ ( irel @ SV20 @ SY66 )
| ( p19 @ SY66 ) ) )
= $true )
| ( ( ! [SY67: $i] :
( ~ ( irel @ SV20 @ SY67 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY67 @ SX2 )
| ( p19 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY67 @ SX2 )
| ( p18 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(117,plain,
! [SV21: $i] :
( ( ( ~ ! [SY70: $i] :
( ~ ( irel @ SV21 @ SY70 )
| ( p10 @ SY70 ) ) )
= $true )
| ( ( ! [SY71: $i] :
( ~ ( irel @ SV21 @ SY71 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY71 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY71 @ SX2 )
| ( p9 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(118,plain,
! [SV22: $i] :
( ( ( ~ ! [SY74: $i] :
( ~ ( irel @ SV22 @ SY74 )
| ( p20 @ SY74 ) ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( irel @ SV22 @ SY75 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY75 @ SX2 )
| ( p20 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY75 @ SX2 )
| ( p19 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(119,plain,
! [SV23: $i] :
( ( ( ~ ! [SY78: $i] :
( ~ ( irel @ SV23 @ SY78 )
| ( p2 @ SY78 ) ) )
= $true )
| ( ( ! [SY79: $i] :
( ~ ( irel @ SV23 @ SY79 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY79 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY79 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(120,plain,
! [SV25: $i,SV24: $i,SV2: $i] :
( ( ~ ( irel @ SV2 @ SV24 )
| ~ ( irel @ SV24 @ SV25 )
| ( irel @ SV2 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(121,plain,
! [SV3: $i] :
( ( ( ! [SY2: $i] :
( ~ ( irel @ SV3 @ SY2 )
| ( p13 @ SY2 ) ) )
= $false )
| ( ( ! [SY3: $i] :
( ~ ( irel @ SV3 @ SY3 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY3 @ SX2 )
| ( p13 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY3 @ SX2 )
| ( p12 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(122,plain,
! [SV4: $i] :
( ( ( ! [SY6: $i] :
( ~ ( irel @ SV4 @ SY6 )
| ( p5 @ SY6 ) ) )
= $false )
| ( ( ! [SY7: $i] :
( ~ ( irel @ SV4 @ SY7 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY7 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY7 @ SX2 )
| ( p4 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(123,plain,
! [SV5: $i] :
( ( ( ! [SY10: $i] :
( ~ ( irel @ SV5 @ SY10 )
| ( p9 @ SY10 ) ) )
= $false )
| ( ( ! [SY11: $i] :
( ~ ( irel @ SV5 @ SY11 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY11 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY11 @ SX2 )
| ( p8 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(124,plain,
! [SV6: $i] :
( ( ( ! [SY14: $i] :
( ~ ( irel @ SV6 @ SY14 )
| ( p16 @ SY14 ) ) )
= $false )
| ( ( ! [SY15: $i] :
( ~ ( irel @ SV6 @ SY15 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY15 @ SX2 )
| ( p16 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY15 @ SX2 )
| ( p15 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(125,plain,
! [SV7: $i] :
( ( ( ! [SY18: $i] :
( ~ ( irel @ SV7 @ SY18 )
| ( p12 @ SY18 ) ) )
= $false )
| ( ( ! [SY19: $i] :
( ~ ( irel @ SV7 @ SY19 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY19 @ SX2 )
| ( p12 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY19 @ SX2 )
| ( p11 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(126,plain,
! [SV8: $i] :
( ( ( ! [SY22: $i] :
( ~ ( irel @ SV8 @ SY22 )
| ( p11 @ SY22 ) ) )
= $false )
| ( ( ! [SY23: $i] :
( ~ ( irel @ SV8 @ SY23 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY23 @ SX2 )
| ( p11 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY23 @ SX2 )
| ( p10 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(127,plain,
! [SV9: $i] :
( ( ( ! [SY26: $i] :
( ~ ( irel @ SV9 @ SY26 )
| ( p6 @ SY26 ) ) )
= $false )
| ( ( ! [SY27: $i] :
( ~ ( irel @ SV9 @ SY27 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY27 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY27 @ SX2 )
| ( p5 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(128,plain,
! [SV10: $i] :
( ( ( ! [SY30: $i] :
( ~ ( irel @ SV10 @ SY30 )
| ( p7 @ SY30 ) ) )
= $false )
| ( ( ! [SY31: $i] :
( ~ ( irel @ SV10 @ SY31 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY31 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY31 @ SX2 )
| ( p6 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(129,plain,
! [SV11: $i] :
( ( ( ! [SY34: $i] :
( ~ ( irel @ SV11 @ SY34 )
| ( p3 @ SY34 ) ) )
= $false )
| ( ( ! [SY35: $i] :
( ~ ( irel @ SV11 @ SY35 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY35 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY35 @ SX2 )
| ( p2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(130,plain,
! [SV12: $i] :
( ( ( ! [SY38: $i] :
( ~ ( irel @ SV12 @ SY38 )
| ( p14 @ SY38 ) ) )
= $false )
| ( ( ! [SY39: $i] :
( ~ ( irel @ SV12 @ SY39 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY39 @ SX2 )
| ( p14 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY39 @ SX2 )
| ( p13 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(131,plain,
! [SV13: $i] :
( ( ( ! [SY42: $i] :
( ~ ( irel @ SV13 @ SY42 )
| ( p17 @ SY42 ) ) )
= $false )
| ( ( ! [SY43: $i] :
( ~ ( irel @ SV13 @ SY43 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY43 @ SX2 )
| ( p17 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY43 @ SX2 )
| ( p16 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(132,plain,
! [SV14: $i] :
( ( ( ! [SY46: $i] :
( ~ ( irel @ SV14 @ SY46 )
| ( p15 @ SY46 ) ) )
= $false )
| ( ( ! [SY47: $i] :
( ~ ( irel @ SV14 @ SY47 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY47 @ SX2 )
| ( p15 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY47 @ SX2 )
| ( p14 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(133,plain,
! [SV15: $i] :
( ( ( ! [SY50: $i] :
( ~ ( irel @ SV15 @ SY50 )
| ( p18 @ SY50 ) ) )
= $false )
| ( ( ! [SY51: $i] :
( ~ ( irel @ SV15 @ SY51 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY51 @ SX2 )
| ( p18 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY51 @ SX2 )
| ( p17 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(134,plain,
! [SV16: $i] :
( ( ( ! [SY54: $i] :
( ~ ( irel @ SV16 @ SY54 )
| ( p4 @ SY54 ) ) )
= $false )
| ( ( ! [SY55: $i] :
( ~ ( irel @ SV16 @ SY55 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY55 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY55 @ SX2 )
| ( p3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(135,plain,
! [SV17: $i] :
( ( ( ! [SY58: $i] :
( ~ ( irel @ SV17 @ SY58 )
| ( p1 @ SY58 ) ) )
= $false )
| ( ( ! [SY59: $i] :
( ~ ( irel @ SV17 @ SY59 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY59 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY59 @ SX2 )
| ( p0 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(136,plain,
! [SV18: $i] :
( ( ( ! [SY62: $i] :
( ~ ( irel @ SV18 @ SY62 )
| ( p8 @ SY62 ) ) )
= $false )
| ( ( ! [SY63: $i] :
( ~ ( irel @ SV18 @ SY63 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY63 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY63 @ SX2 )
| ( p7 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(137,plain,
! [SV20: $i] :
( ( ( ! [SY66: $i] :
( ~ ( irel @ SV20 @ SY66 )
| ( p19 @ SY66 ) ) )
= $false )
| ( ( ! [SY67: $i] :
( ~ ( irel @ SV20 @ SY67 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY67 @ SX2 )
| ( p19 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY67 @ SX2 )
| ( p18 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(138,plain,
! [SV21: $i] :
( ( ( ! [SY70: $i] :
( ~ ( irel @ SV21 @ SY70 )
| ( p10 @ SY70 ) ) )
= $false )
| ( ( ! [SY71: $i] :
( ~ ( irel @ SV21 @ SY71 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY71 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY71 @ SX2 )
| ( p9 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(139,plain,
! [SV22: $i] :
( ( ( ! [SY74: $i] :
( ~ ( irel @ SV22 @ SY74 )
| ( p20 @ SY74 ) ) )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( irel @ SV22 @ SY75 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY75 @ SX2 )
| ( p20 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY75 @ SX2 )
| ( p19 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(140,plain,
! [SV23: $i] :
( ( ( ! [SY78: $i] :
( ~ ( irel @ SV23 @ SY78 )
| ( p2 @ SY78 ) ) )
= $false )
| ( ( ! [SY79: $i] :
( ~ ( irel @ SV23 @ SY79 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY79 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY79 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(141,plain,
! [SV25: $i,SV24: $i,SV2: $i] :
( ( ( ~ ( irel @ SV2 @ SV24 )
| ~ ( irel @ SV24 @ SV25 ) )
= $true )
| ( ( irel @ SV2 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(142,plain,
! [SV3: $i] :
( ( ( ~ ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
| ( p13 @ ( sK2_SY2 @ SV3 ) ) )
= $false )
| ( ( ! [SY3: $i] :
( ~ ( irel @ SV3 @ SY3 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY3 @ SX2 )
| ( p13 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY3 @ SX2 )
| ( p12 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[121]) ).
thf(143,plain,
! [SV4: $i] :
( ( ( ~ ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
| ( p5 @ ( sK3_SY6 @ SV4 ) ) )
= $false )
| ( ( ! [SY7: $i] :
( ~ ( irel @ SV4 @ SY7 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY7 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY7 @ SX2 )
| ( p4 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[122]) ).
thf(144,plain,
! [SV5: $i] :
( ( ( ~ ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
| ( p9 @ ( sK4_SY10 @ SV5 ) ) )
= $false )
| ( ( ! [SY11: $i] :
( ~ ( irel @ SV5 @ SY11 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY11 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY11 @ SX2 )
| ( p8 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[123]) ).
thf(145,plain,
! [SV6: $i] :
( ( ( ~ ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
| ( p16 @ ( sK5_SY14 @ SV6 ) ) )
= $false )
| ( ( ! [SY15: $i] :
( ~ ( irel @ SV6 @ SY15 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY15 @ SX2 )
| ( p16 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY15 @ SX2 )
| ( p15 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[124]) ).
thf(146,plain,
! [SV7: $i] :
( ( ( ~ ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
| ( p12 @ ( sK6_SY18 @ SV7 ) ) )
= $false )
| ( ( ! [SY19: $i] :
( ~ ( irel @ SV7 @ SY19 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY19 @ SX2 )
| ( p12 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY19 @ SX2 )
| ( p11 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[125]) ).
thf(147,plain,
! [SV8: $i] :
( ( ( ~ ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
| ( p11 @ ( sK7_SY22 @ SV8 ) ) )
= $false )
| ( ( ! [SY23: $i] :
( ~ ( irel @ SV8 @ SY23 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY23 @ SX2 )
| ( p11 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY23 @ SX2 )
| ( p10 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[126]) ).
thf(148,plain,
! [SV9: $i] :
( ( ( ~ ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
| ( p6 @ ( sK8_SY26 @ SV9 ) ) )
= $false )
| ( ( ! [SY27: $i] :
( ~ ( irel @ SV9 @ SY27 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY27 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY27 @ SX2 )
| ( p5 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[127]) ).
thf(149,plain,
! [SV10: $i] :
( ( ( ~ ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
| ( p7 @ ( sK9_SY30 @ SV10 ) ) )
= $false )
| ( ( ! [SY31: $i] :
( ~ ( irel @ SV10 @ SY31 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY31 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY31 @ SX2 )
| ( p6 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[128]) ).
thf(150,plain,
! [SV11: $i] :
( ( ( ~ ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
| ( p3 @ ( sK10_SY34 @ SV11 ) ) )
= $false )
| ( ( ! [SY35: $i] :
( ~ ( irel @ SV11 @ SY35 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY35 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY35 @ SX2 )
| ( p2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[129]) ).
thf(151,plain,
! [SV12: $i] :
( ( ( ~ ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
| ( p14 @ ( sK11_SY38 @ SV12 ) ) )
= $false )
| ( ( ! [SY39: $i] :
( ~ ( irel @ SV12 @ SY39 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY39 @ SX2 )
| ( p14 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY39 @ SX2 )
| ( p13 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[130]) ).
thf(152,plain,
! [SV13: $i] :
( ( ( ~ ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
| ( p17 @ ( sK12_SY42 @ SV13 ) ) )
= $false )
| ( ( ! [SY43: $i] :
( ~ ( irel @ SV13 @ SY43 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY43 @ SX2 )
| ( p17 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY43 @ SX2 )
| ( p16 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[131]) ).
thf(153,plain,
! [SV14: $i] :
( ( ( ~ ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
| ( p15 @ ( sK13_SY46 @ SV14 ) ) )
= $false )
| ( ( ! [SY47: $i] :
( ~ ( irel @ SV14 @ SY47 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY47 @ SX2 )
| ( p15 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY47 @ SX2 )
| ( p14 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[132]) ).
thf(154,plain,
! [SV15: $i] :
( ( ( ~ ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
| ( p18 @ ( sK14_SY50 @ SV15 ) ) )
= $false )
| ( ( ! [SY51: $i] :
( ~ ( irel @ SV15 @ SY51 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY51 @ SX2 )
| ( p18 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY51 @ SX2 )
| ( p17 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[133]) ).
thf(155,plain,
! [SV16: $i] :
( ( ( ~ ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
| ( p4 @ ( sK15_SY54 @ SV16 ) ) )
= $false )
| ( ( ! [SY55: $i] :
( ~ ( irel @ SV16 @ SY55 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY55 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY55 @ SX2 )
| ( p3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[134]) ).
thf(156,plain,
! [SV17: $i] :
( ( ( ~ ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
| ( p1 @ ( sK16_SY58 @ SV17 ) ) )
= $false )
| ( ( ! [SY59: $i] :
( ~ ( irel @ SV17 @ SY59 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY59 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY59 @ SX2 )
| ( p0 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[135]) ).
thf(157,plain,
! [SV18: $i] :
( ( ( ~ ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
| ( p8 @ ( sK17_SY62 @ SV18 ) ) )
= $false )
| ( ( ! [SY63: $i] :
( ~ ( irel @ SV18 @ SY63 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY63 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY63 @ SX2 )
| ( p7 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[136]) ).
thf(158,plain,
! [SV20: $i] :
( ( ( ~ ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
| ( p19 @ ( sK18_SY66 @ SV20 ) ) )
= $false )
| ( ( ! [SY67: $i] :
( ~ ( irel @ SV20 @ SY67 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY67 @ SX2 )
| ( p19 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY67 @ SX2 )
| ( p18 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[137]) ).
thf(159,plain,
! [SV21: $i] :
( ( ( ~ ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
| ( p10 @ ( sK19_SY70 @ SV21 ) ) )
= $false )
| ( ( ! [SY71: $i] :
( ~ ( irel @ SV21 @ SY71 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY71 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY71 @ SX2 )
| ( p9 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[138]) ).
thf(160,plain,
! [SV22: $i] :
( ( ( ~ ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
| ( p20 @ ( sK20_SY74 @ SV22 ) ) )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( irel @ SV22 @ SY75 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY75 @ SX2 )
| ( p20 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY75 @ SX2 )
| ( p19 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[139]) ).
thf(161,plain,
! [SV23: $i] :
( ( ( ~ ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
| ( p2 @ ( sK21_SY78 @ SV23 ) ) )
= $false )
| ( ( ! [SY79: $i] :
( ~ ( irel @ SV23 @ SY79 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY79 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY79 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[140]) ).
thf(162,plain,
! [SV25: $i,SV24: $i,SV2: $i] :
( ( ( ~ ( irel @ SV2 @ SV24 ) )
= $true )
| ( ( ~ ( irel @ SV24 @ SV25 ) )
= $true )
| ( ( irel @ SV2 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(163,plain,
! [SV3: $i] :
( ( ( ~ ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) ) )
= $false )
| ( ( ! [SY3: $i] :
( ~ ( irel @ SV3 @ SY3 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY3 @ SX2 )
| ( p13 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY3 @ SX2 )
| ( p12 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(164,plain,
! [SV3: $i] :
( ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false )
| ( ( ! [SY3: $i] :
( ~ ( irel @ SV3 @ SY3 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY3 @ SX2 )
| ( p13 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY3 @ SX2 )
| ( p12 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(165,plain,
! [SV4: $i] :
( ( ( ~ ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) ) )
= $false )
| ( ( ! [SY7: $i] :
( ~ ( irel @ SV4 @ SY7 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY7 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY7 @ SX2 )
| ( p4 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(166,plain,
! [SV4: $i] :
( ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false )
| ( ( ! [SY7: $i] :
( ~ ( irel @ SV4 @ SY7 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY7 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY7 @ SX2 )
| ( p4 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(167,plain,
! [SV5: $i] :
( ( ( ~ ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) ) )
= $false )
| ( ( ! [SY11: $i] :
( ~ ( irel @ SV5 @ SY11 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY11 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY11 @ SX2 )
| ( p8 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(168,plain,
! [SV5: $i] :
( ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false )
| ( ( ! [SY11: $i] :
( ~ ( irel @ SV5 @ SY11 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY11 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY11 @ SX2 )
| ( p8 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(169,plain,
! [SV6: $i] :
( ( ( ~ ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) ) )
= $false )
| ( ( ! [SY15: $i] :
( ~ ( irel @ SV6 @ SY15 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY15 @ SX2 )
| ( p16 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY15 @ SX2 )
| ( p15 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(170,plain,
! [SV6: $i] :
( ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false )
| ( ( ! [SY15: $i] :
( ~ ( irel @ SV6 @ SY15 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY15 @ SX2 )
| ( p16 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY15 @ SX2 )
| ( p15 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(171,plain,
! [SV7: $i] :
( ( ( ~ ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) ) )
= $false )
| ( ( ! [SY19: $i] :
( ~ ( irel @ SV7 @ SY19 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY19 @ SX2 )
| ( p12 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY19 @ SX2 )
| ( p11 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(172,plain,
! [SV7: $i] :
( ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false )
| ( ( ! [SY19: $i] :
( ~ ( irel @ SV7 @ SY19 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY19 @ SX2 )
| ( p12 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY19 @ SX2 )
| ( p11 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(173,plain,
! [SV8: $i] :
( ( ( ~ ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) ) )
= $false )
| ( ( ! [SY23: $i] :
( ~ ( irel @ SV8 @ SY23 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY23 @ SX2 )
| ( p11 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY23 @ SX2 )
| ( p10 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(174,plain,
! [SV8: $i] :
( ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false )
| ( ( ! [SY23: $i] :
( ~ ( irel @ SV8 @ SY23 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY23 @ SX2 )
| ( p11 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY23 @ SX2 )
| ( p10 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(175,plain,
! [SV9: $i] :
( ( ( ~ ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) ) )
= $false )
| ( ( ! [SY27: $i] :
( ~ ( irel @ SV9 @ SY27 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY27 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY27 @ SX2 )
| ( p5 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(176,plain,
! [SV9: $i] :
( ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false )
| ( ( ! [SY27: $i] :
( ~ ( irel @ SV9 @ SY27 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY27 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY27 @ SX2 )
| ( p5 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(177,plain,
! [SV10: $i] :
( ( ( ~ ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) ) )
= $false )
| ( ( ! [SY31: $i] :
( ~ ( irel @ SV10 @ SY31 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY31 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY31 @ SX2 )
| ( p6 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(178,plain,
! [SV10: $i] :
( ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false )
| ( ( ! [SY31: $i] :
( ~ ( irel @ SV10 @ SY31 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY31 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY31 @ SX2 )
| ( p6 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(179,plain,
! [SV11: $i] :
( ( ( ~ ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) ) )
= $false )
| ( ( ! [SY35: $i] :
( ~ ( irel @ SV11 @ SY35 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY35 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY35 @ SX2 )
| ( p2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(180,plain,
! [SV11: $i] :
( ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false )
| ( ( ! [SY35: $i] :
( ~ ( irel @ SV11 @ SY35 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY35 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY35 @ SX2 )
| ( p2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(181,plain,
! [SV12: $i] :
( ( ( ~ ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) ) )
= $false )
| ( ( ! [SY39: $i] :
( ~ ( irel @ SV12 @ SY39 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY39 @ SX2 )
| ( p14 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY39 @ SX2 )
| ( p13 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(182,plain,
! [SV12: $i] :
( ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false )
| ( ( ! [SY39: $i] :
( ~ ( irel @ SV12 @ SY39 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY39 @ SX2 )
| ( p14 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY39 @ SX2 )
| ( p13 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(183,plain,
! [SV13: $i] :
( ( ( ~ ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) ) )
= $false )
| ( ( ! [SY43: $i] :
( ~ ( irel @ SV13 @ SY43 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY43 @ SX2 )
| ( p17 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY43 @ SX2 )
| ( p16 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(184,plain,
! [SV13: $i] :
( ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false )
| ( ( ! [SY43: $i] :
( ~ ( irel @ SV13 @ SY43 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY43 @ SX2 )
| ( p17 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY43 @ SX2 )
| ( p16 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(185,plain,
! [SV14: $i] :
( ( ( ~ ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) ) )
= $false )
| ( ( ! [SY47: $i] :
( ~ ( irel @ SV14 @ SY47 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY47 @ SX2 )
| ( p15 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY47 @ SX2 )
| ( p14 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(186,plain,
! [SV14: $i] :
( ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false )
| ( ( ! [SY47: $i] :
( ~ ( irel @ SV14 @ SY47 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY47 @ SX2 )
| ( p15 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY47 @ SX2 )
| ( p14 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(187,plain,
! [SV15: $i] :
( ( ( ~ ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) ) )
= $false )
| ( ( ! [SY51: $i] :
( ~ ( irel @ SV15 @ SY51 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY51 @ SX2 )
| ( p18 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY51 @ SX2 )
| ( p17 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(188,plain,
! [SV15: $i] :
( ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false )
| ( ( ! [SY51: $i] :
( ~ ( irel @ SV15 @ SY51 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY51 @ SX2 )
| ( p18 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY51 @ SX2 )
| ( p17 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(189,plain,
! [SV16: $i] :
( ( ( ~ ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) ) )
= $false )
| ( ( ! [SY55: $i] :
( ~ ( irel @ SV16 @ SY55 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY55 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY55 @ SX2 )
| ( p3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(190,plain,
! [SV16: $i] :
( ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false )
| ( ( ! [SY55: $i] :
( ~ ( irel @ SV16 @ SY55 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY55 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY55 @ SX2 )
| ( p3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(191,plain,
! [SV17: $i] :
( ( ( ~ ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) ) )
= $false )
| ( ( ! [SY59: $i] :
( ~ ( irel @ SV17 @ SY59 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY59 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY59 @ SX2 )
| ( p0 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(192,plain,
! [SV17: $i] :
( ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false )
| ( ( ! [SY59: $i] :
( ~ ( irel @ SV17 @ SY59 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY59 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY59 @ SX2 )
| ( p0 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(193,plain,
! [SV18: $i] :
( ( ( ~ ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) ) )
= $false )
| ( ( ! [SY63: $i] :
( ~ ( irel @ SV18 @ SY63 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY63 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY63 @ SX2 )
| ( p7 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(194,plain,
! [SV18: $i] :
( ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false )
| ( ( ! [SY63: $i] :
( ~ ( irel @ SV18 @ SY63 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY63 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY63 @ SX2 )
| ( p7 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(195,plain,
! [SV20: $i] :
( ( ( ~ ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) ) )
= $false )
| ( ( ! [SY67: $i] :
( ~ ( irel @ SV20 @ SY67 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY67 @ SX2 )
| ( p19 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY67 @ SX2 )
| ( p18 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(196,plain,
! [SV20: $i] :
( ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false )
| ( ( ! [SY67: $i] :
( ~ ( irel @ SV20 @ SY67 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY67 @ SX2 )
| ( p19 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY67 @ SX2 )
| ( p18 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(197,plain,
! [SV21: $i] :
( ( ( ~ ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) ) )
= $false )
| ( ( ! [SY71: $i] :
( ~ ( irel @ SV21 @ SY71 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY71 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY71 @ SX2 )
| ( p9 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(198,plain,
! [SV21: $i] :
( ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false )
| ( ( ! [SY71: $i] :
( ~ ( irel @ SV21 @ SY71 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY71 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY71 @ SX2 )
| ( p9 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(199,plain,
! [SV22: $i] :
( ( ( ~ ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) ) )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( irel @ SV22 @ SY75 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY75 @ SX2 )
| ( p20 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY75 @ SX2 )
| ( p19 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(200,plain,
! [SV22: $i] :
( ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( irel @ SV22 @ SY75 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY75 @ SX2 )
| ( p20 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY75 @ SX2 )
| ( p19 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(201,plain,
! [SV23: $i] :
( ( ( ~ ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) ) )
= $false )
| ( ( ! [SY79: $i] :
( ~ ( irel @ SV23 @ SY79 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY79 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY79 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(202,plain,
! [SV23: $i] :
( ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false )
| ( ( ! [SY79: $i] :
( ~ ( irel @ SV23 @ SY79 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY79 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY79 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(203,plain,
! [SV25: $i,SV24: $i,SV2: $i] :
( ( ( irel @ SV2 @ SV24 )
= $false )
| ( ( ~ ( irel @ SV24 @ SV25 ) )
= $true )
| ( ( irel @ SV2 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(204,plain,
! [SV3: $i] :
( ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true )
| ( ( ! [SY3: $i] :
( ~ ( irel @ SV3 @ SY3 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY3 @ SX2 )
| ( p13 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY3 @ SX2 )
| ( p12 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(205,plain,
! [SV26: $i,SV3: $i] :
( ( ( ~ ( irel @ SV3 @ SV26 )
| ~ ! [SY83: $i] :
( ~ ( irel @ SV26 @ SY83 )
| ( p13 @ SY83 ) )
| ! [SY84: $i] :
( ~ ( irel @ SV26 @ SY84 )
| ( p12 @ SY84 ) ) )
= $true )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(206,plain,
! [SV4: $i] :
( ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true )
| ( ( ! [SY7: $i] :
( ~ ( irel @ SV4 @ SY7 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY7 @ SX2 )
| ( p5 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY7 @ SX2 )
| ( p4 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(207,plain,
! [SV27: $i,SV4: $i] :
( ( ( ~ ( irel @ SV4 @ SV27 )
| ~ ! [SY85: $i] :
( ~ ( irel @ SV27 @ SY85 )
| ( p5 @ SY85 ) )
| ! [SY86: $i] :
( ~ ( irel @ SV27 @ SY86 )
| ( p4 @ SY86 ) ) )
= $true )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(208,plain,
! [SV5: $i] :
( ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true )
| ( ( ! [SY11: $i] :
( ~ ( irel @ SV5 @ SY11 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY11 @ SX2 )
| ( p9 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY11 @ SX2 )
| ( p8 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(209,plain,
! [SV28: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV28 )
| ~ ! [SY87: $i] :
( ~ ( irel @ SV28 @ SY87 )
| ( p9 @ SY87 ) )
| ! [SY88: $i] :
( ~ ( irel @ SV28 @ SY88 )
| ( p8 @ SY88 ) ) )
= $true )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(210,plain,
! [SV6: $i] :
( ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true )
| ( ( ! [SY15: $i] :
( ~ ( irel @ SV6 @ SY15 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY15 @ SX2 )
| ( p16 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY15 @ SX2 )
| ( p15 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(211,plain,
! [SV29: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV29 )
| ~ ! [SY89: $i] :
( ~ ( irel @ SV29 @ SY89 )
| ( p16 @ SY89 ) )
| ! [SY90: $i] :
( ~ ( irel @ SV29 @ SY90 )
| ( p15 @ SY90 ) ) )
= $true )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(212,plain,
! [SV7: $i] :
( ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true )
| ( ( ! [SY19: $i] :
( ~ ( irel @ SV7 @ SY19 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY19 @ SX2 )
| ( p12 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY19 @ SX2 )
| ( p11 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(213,plain,
! [SV30: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV30 )
| ~ ! [SY91: $i] :
( ~ ( irel @ SV30 @ SY91 )
| ( p12 @ SY91 ) )
| ! [SY92: $i] :
( ~ ( irel @ SV30 @ SY92 )
| ( p11 @ SY92 ) ) )
= $true )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(214,plain,
! [SV8: $i] :
( ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true )
| ( ( ! [SY23: $i] :
( ~ ( irel @ SV8 @ SY23 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY23 @ SX2 )
| ( p11 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY23 @ SX2 )
| ( p10 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(215,plain,
! [SV31: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV31 )
| ~ ! [SY93: $i] :
( ~ ( irel @ SV31 @ SY93 )
| ( p11 @ SY93 ) )
| ! [SY94: $i] :
( ~ ( irel @ SV31 @ SY94 )
| ( p10 @ SY94 ) ) )
= $true )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(216,plain,
! [SV9: $i] :
( ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true )
| ( ( ! [SY27: $i] :
( ~ ( irel @ SV9 @ SY27 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY27 @ SX2 )
| ( p6 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY27 @ SX2 )
| ( p5 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(217,plain,
! [SV32: $i,SV9: $i] :
( ( ( ~ ( irel @ SV9 @ SV32 )
| ~ ! [SY95: $i] :
( ~ ( irel @ SV32 @ SY95 )
| ( p6 @ SY95 ) )
| ! [SY96: $i] :
( ~ ( irel @ SV32 @ SY96 )
| ( p5 @ SY96 ) ) )
= $true )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(218,plain,
! [SV10: $i] :
( ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true )
| ( ( ! [SY31: $i] :
( ~ ( irel @ SV10 @ SY31 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY31 @ SX2 )
| ( p7 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY31 @ SX2 )
| ( p6 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(219,plain,
! [SV33: $i,SV10: $i] :
( ( ( ~ ( irel @ SV10 @ SV33 )
| ~ ! [SY97: $i] :
( ~ ( irel @ SV33 @ SY97 )
| ( p7 @ SY97 ) )
| ! [SY98: $i] :
( ~ ( irel @ SV33 @ SY98 )
| ( p6 @ SY98 ) ) )
= $true )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(220,plain,
! [SV11: $i] :
( ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true )
| ( ( ! [SY35: $i] :
( ~ ( irel @ SV11 @ SY35 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY35 @ SX2 )
| ( p3 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY35 @ SX2 )
| ( p2 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(221,plain,
! [SV34: $i,SV11: $i] :
( ( ( ~ ( irel @ SV11 @ SV34 )
| ~ ! [SY99: $i] :
( ~ ( irel @ SV34 @ SY99 )
| ( p3 @ SY99 ) )
| ! [SY100: $i] :
( ~ ( irel @ SV34 @ SY100 )
| ( p2 @ SY100 ) ) )
= $true )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(222,plain,
! [SV12: $i] :
( ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true )
| ( ( ! [SY39: $i] :
( ~ ( irel @ SV12 @ SY39 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY39 @ SX2 )
| ( p14 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY39 @ SX2 )
| ( p13 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(223,plain,
! [SV35: $i,SV12: $i] :
( ( ( ~ ( irel @ SV12 @ SV35 )
| ~ ! [SY101: $i] :
( ~ ( irel @ SV35 @ SY101 )
| ( p14 @ SY101 ) )
| ! [SY102: $i] :
( ~ ( irel @ SV35 @ SY102 )
| ( p13 @ SY102 ) ) )
= $true )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(224,plain,
! [SV13: $i] :
( ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true )
| ( ( ! [SY43: $i] :
( ~ ( irel @ SV13 @ SY43 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY43 @ SX2 )
| ( p17 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY43 @ SX2 )
| ( p16 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(225,plain,
! [SV36: $i,SV13: $i] :
( ( ( ~ ( irel @ SV13 @ SV36 )
| ~ ! [SY103: $i] :
( ~ ( irel @ SV36 @ SY103 )
| ( p17 @ SY103 ) )
| ! [SY104: $i] :
( ~ ( irel @ SV36 @ SY104 )
| ( p16 @ SY104 ) ) )
= $true )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(226,plain,
! [SV14: $i] :
( ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true )
| ( ( ! [SY47: $i] :
( ~ ( irel @ SV14 @ SY47 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY47 @ SX2 )
| ( p15 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY47 @ SX2 )
| ( p14 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(227,plain,
! [SV37: $i,SV14: $i] :
( ( ( ~ ( irel @ SV14 @ SV37 )
| ~ ! [SY105: $i] :
( ~ ( irel @ SV37 @ SY105 )
| ( p15 @ SY105 ) )
| ! [SY106: $i] :
( ~ ( irel @ SV37 @ SY106 )
| ( p14 @ SY106 ) ) )
= $true )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(228,plain,
! [SV15: $i] :
( ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true )
| ( ( ! [SY51: $i] :
( ~ ( irel @ SV15 @ SY51 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY51 @ SX2 )
| ( p18 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY51 @ SX2 )
| ( p17 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(229,plain,
! [SV38: $i,SV15: $i] :
( ( ( ~ ( irel @ SV15 @ SV38 )
| ~ ! [SY107: $i] :
( ~ ( irel @ SV38 @ SY107 )
| ( p18 @ SY107 ) )
| ! [SY108: $i] :
( ~ ( irel @ SV38 @ SY108 )
| ( p17 @ SY108 ) ) )
= $true )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(230,plain,
! [SV16: $i] :
( ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true )
| ( ( ! [SY55: $i] :
( ~ ( irel @ SV16 @ SY55 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY55 @ SX2 )
| ( p4 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY55 @ SX2 )
| ( p3 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(231,plain,
! [SV39: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ SV39 )
| ~ ! [SY109: $i] :
( ~ ( irel @ SV39 @ SY109 )
| ( p4 @ SY109 ) )
| ! [SY110: $i] :
( ~ ( irel @ SV39 @ SY110 )
| ( p3 @ SY110 ) ) )
= $true )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(232,plain,
! [SV17: $i] :
( ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true )
| ( ( ! [SY59: $i] :
( ~ ( irel @ SV17 @ SY59 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY59 @ SX2 )
| ( p1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY59 @ SX2 )
| ( p0 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(233,plain,
! [SV40: $i,SV17: $i] :
( ( ( ~ ( irel @ SV17 @ SV40 )
| ~ ! [SY111: $i] :
( ~ ( irel @ SV40 @ SY111 )
| ( p1 @ SY111 ) )
| ! [SY112: $i] :
( ~ ( irel @ SV40 @ SY112 )
| ( p0 @ SY112 ) ) )
= $true )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(234,plain,
! [SV18: $i] :
( ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true )
| ( ( ! [SY63: $i] :
( ~ ( irel @ SV18 @ SY63 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY63 @ SX2 )
| ( p8 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY63 @ SX2 )
| ( p7 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(235,plain,
! [SV41: $i,SV18: $i] :
( ( ( ~ ( irel @ SV18 @ SV41 )
| ~ ! [SY113: $i] :
( ~ ( irel @ SV41 @ SY113 )
| ( p8 @ SY113 ) )
| ! [SY114: $i] :
( ~ ( irel @ SV41 @ SY114 )
| ( p7 @ SY114 ) ) )
= $true )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(236,plain,
! [SV20: $i] :
( ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true )
| ( ( ! [SY67: $i] :
( ~ ( irel @ SV20 @ SY67 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY67 @ SX2 )
| ( p19 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY67 @ SX2 )
| ( p18 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(237,plain,
! [SV42: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV42 )
| ~ ! [SY115: $i] :
( ~ ( irel @ SV42 @ SY115 )
| ( p19 @ SY115 ) )
| ! [SY116: $i] :
( ~ ( irel @ SV42 @ SY116 )
| ( p18 @ SY116 ) ) )
= $true )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(238,plain,
! [SV21: $i] :
( ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true )
| ( ( ! [SY71: $i] :
( ~ ( irel @ SV21 @ SY71 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY71 @ SX2 )
| ( p10 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY71 @ SX2 )
| ( p9 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(239,plain,
! [SV43: $i,SV21: $i] :
( ( ( ~ ( irel @ SV21 @ SV43 )
| ~ ! [SY117: $i] :
( ~ ( irel @ SV43 @ SY117 )
| ( p10 @ SY117 ) )
| ! [SY118: $i] :
( ~ ( irel @ SV43 @ SY118 )
| ( p9 @ SY118 ) ) )
= $true )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(240,plain,
! [SV22: $i] :
( ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( irel @ SV22 @ SY75 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY75 @ SX2 )
| ( p20 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY75 @ SX2 )
| ( p19 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(241,plain,
! [SV44: $i,SV22: $i] :
( ( ( ~ ( irel @ SV22 @ SV44 )
| ~ ! [SY119: $i] :
( ~ ( irel @ SV44 @ SY119 )
| ( p20 @ SY119 ) )
| ! [SY120: $i] :
( ~ ( irel @ SV44 @ SY120 )
| ( p19 @ SY120 ) ) )
= $true )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(242,plain,
! [SV23: $i] :
( ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true )
| ( ( ! [SY79: $i] :
( ~ ( irel @ SV23 @ SY79 )
| ~ ! [SX2: $i] :
( ~ ( irel @ SY79 @ SX2 )
| ( p2 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( irel @ SY79 @ SX2 )
| ( p1 @ SX2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(243,plain,
! [SV45: $i,SV23: $i] :
( ( ( ~ ( irel @ SV23 @ SV45 )
| ~ ! [SY121: $i] :
( ~ ( irel @ SV45 @ SY121 )
| ( p2 @ SY121 ) )
| ! [SY122: $i] :
( ~ ( irel @ SV45 @ SY122 )
| ( p1 @ SY122 ) ) )
= $true )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(244,plain,
! [SV2: $i,SV25: $i,SV24: $i] :
( ( ( irel @ SV24 @ SV25 )
= $false )
| ( ( irel @ SV2 @ SV24 )
= $false )
| ( ( irel @ SV2 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(245,plain,
! [SV46: $i,SV3: $i] :
( ( ( ~ ( irel @ SV3 @ SV46 )
| ~ ! [SY123: $i] :
( ~ ( irel @ SV46 @ SY123 )
| ( p13 @ SY123 ) )
| ! [SY124: $i] :
( ~ ( irel @ SV46 @ SY124 )
| ( p12 @ SY124 ) ) )
= $true )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(246,plain,
! [SV26: $i,SV3: $i] :
( ( ( ~ ( irel @ SV3 @ SV26 ) )
= $true )
| ( ( ~ ! [SY83: $i] :
( ~ ( irel @ SV26 @ SY83 )
| ( p13 @ SY83 ) )
| ! [SY84: $i] :
( ~ ( irel @ SV26 @ SY84 )
| ( p12 @ SY84 ) ) )
= $true )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(247,plain,
! [SV47: $i,SV4: $i] :
( ( ( ~ ( irel @ SV4 @ SV47 )
| ~ ! [SY125: $i] :
( ~ ( irel @ SV47 @ SY125 )
| ( p5 @ SY125 ) )
| ! [SY126: $i] :
( ~ ( irel @ SV47 @ SY126 )
| ( p4 @ SY126 ) ) )
= $true )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(248,plain,
! [SV27: $i,SV4: $i] :
( ( ( ~ ( irel @ SV4 @ SV27 ) )
= $true )
| ( ( ~ ! [SY85: $i] :
( ~ ( irel @ SV27 @ SY85 )
| ( p5 @ SY85 ) )
| ! [SY86: $i] :
( ~ ( irel @ SV27 @ SY86 )
| ( p4 @ SY86 ) ) )
= $true )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(249,plain,
! [SV48: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV48 )
| ~ ! [SY127: $i] :
( ~ ( irel @ SV48 @ SY127 )
| ( p9 @ SY127 ) )
| ! [SY128: $i] :
( ~ ( irel @ SV48 @ SY128 )
| ( p8 @ SY128 ) ) )
= $true )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(250,plain,
! [SV28: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV28 ) )
= $true )
| ( ( ~ ! [SY87: $i] :
( ~ ( irel @ SV28 @ SY87 )
| ( p9 @ SY87 ) )
| ! [SY88: $i] :
( ~ ( irel @ SV28 @ SY88 )
| ( p8 @ SY88 ) ) )
= $true )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(251,plain,
! [SV49: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV49 )
| ~ ! [SY129: $i] :
( ~ ( irel @ SV49 @ SY129 )
| ( p16 @ SY129 ) )
| ! [SY130: $i] :
( ~ ( irel @ SV49 @ SY130 )
| ( p15 @ SY130 ) ) )
= $true )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(252,plain,
! [SV29: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV29 ) )
= $true )
| ( ( ~ ! [SY89: $i] :
( ~ ( irel @ SV29 @ SY89 )
| ( p16 @ SY89 ) )
| ! [SY90: $i] :
( ~ ( irel @ SV29 @ SY90 )
| ( p15 @ SY90 ) ) )
= $true )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(253,plain,
! [SV50: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV50 )
| ~ ! [SY131: $i] :
( ~ ( irel @ SV50 @ SY131 )
| ( p12 @ SY131 ) )
| ! [SY132: $i] :
( ~ ( irel @ SV50 @ SY132 )
| ( p11 @ SY132 ) ) )
= $true )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(254,plain,
! [SV30: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV30 ) )
= $true )
| ( ( ~ ! [SY91: $i] :
( ~ ( irel @ SV30 @ SY91 )
| ( p12 @ SY91 ) )
| ! [SY92: $i] :
( ~ ( irel @ SV30 @ SY92 )
| ( p11 @ SY92 ) ) )
= $true )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(255,plain,
! [SV51: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV51 )
| ~ ! [SY133: $i] :
( ~ ( irel @ SV51 @ SY133 )
| ( p11 @ SY133 ) )
| ! [SY134: $i] :
( ~ ( irel @ SV51 @ SY134 )
| ( p10 @ SY134 ) ) )
= $true )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(256,plain,
! [SV31: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV31 ) )
= $true )
| ( ( ~ ! [SY93: $i] :
( ~ ( irel @ SV31 @ SY93 )
| ( p11 @ SY93 ) )
| ! [SY94: $i] :
( ~ ( irel @ SV31 @ SY94 )
| ( p10 @ SY94 ) ) )
= $true )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(257,plain,
! [SV52: $i,SV9: $i] :
( ( ( ~ ( irel @ SV9 @ SV52 )
| ~ ! [SY135: $i] :
( ~ ( irel @ SV52 @ SY135 )
| ( p6 @ SY135 ) )
| ! [SY136: $i] :
( ~ ( irel @ SV52 @ SY136 )
| ( p5 @ SY136 ) ) )
= $true )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(258,plain,
! [SV32: $i,SV9: $i] :
( ( ( ~ ( irel @ SV9 @ SV32 ) )
= $true )
| ( ( ~ ! [SY95: $i] :
( ~ ( irel @ SV32 @ SY95 )
| ( p6 @ SY95 ) )
| ! [SY96: $i] :
( ~ ( irel @ SV32 @ SY96 )
| ( p5 @ SY96 ) ) )
= $true )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(259,plain,
! [SV53: $i,SV10: $i] :
( ( ( ~ ( irel @ SV10 @ SV53 )
| ~ ! [SY137: $i] :
( ~ ( irel @ SV53 @ SY137 )
| ( p7 @ SY137 ) )
| ! [SY138: $i] :
( ~ ( irel @ SV53 @ SY138 )
| ( p6 @ SY138 ) ) )
= $true )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(260,plain,
! [SV33: $i,SV10: $i] :
( ( ( ~ ( irel @ SV10 @ SV33 ) )
= $true )
| ( ( ~ ! [SY97: $i] :
( ~ ( irel @ SV33 @ SY97 )
| ( p7 @ SY97 ) )
| ! [SY98: $i] :
( ~ ( irel @ SV33 @ SY98 )
| ( p6 @ SY98 ) ) )
= $true )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(261,plain,
! [SV54: $i,SV11: $i] :
( ( ( ~ ( irel @ SV11 @ SV54 )
| ~ ! [SY139: $i] :
( ~ ( irel @ SV54 @ SY139 )
| ( p3 @ SY139 ) )
| ! [SY140: $i] :
( ~ ( irel @ SV54 @ SY140 )
| ( p2 @ SY140 ) ) )
= $true )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(262,plain,
! [SV34: $i,SV11: $i] :
( ( ( ~ ( irel @ SV11 @ SV34 ) )
= $true )
| ( ( ~ ! [SY99: $i] :
( ~ ( irel @ SV34 @ SY99 )
| ( p3 @ SY99 ) )
| ! [SY100: $i] :
( ~ ( irel @ SV34 @ SY100 )
| ( p2 @ SY100 ) ) )
= $true )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(263,plain,
! [SV55: $i,SV12: $i] :
( ( ( ~ ( irel @ SV12 @ SV55 )
| ~ ! [SY141: $i] :
( ~ ( irel @ SV55 @ SY141 )
| ( p14 @ SY141 ) )
| ! [SY142: $i] :
( ~ ( irel @ SV55 @ SY142 )
| ( p13 @ SY142 ) ) )
= $true )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(264,plain,
! [SV35: $i,SV12: $i] :
( ( ( ~ ( irel @ SV12 @ SV35 ) )
= $true )
| ( ( ~ ! [SY101: $i] :
( ~ ( irel @ SV35 @ SY101 )
| ( p14 @ SY101 ) )
| ! [SY102: $i] :
( ~ ( irel @ SV35 @ SY102 )
| ( p13 @ SY102 ) ) )
= $true )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(265,plain,
! [SV56: $i,SV13: $i] :
( ( ( ~ ( irel @ SV13 @ SV56 )
| ~ ! [SY143: $i] :
( ~ ( irel @ SV56 @ SY143 )
| ( p17 @ SY143 ) )
| ! [SY144: $i] :
( ~ ( irel @ SV56 @ SY144 )
| ( p16 @ SY144 ) ) )
= $true )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(266,plain,
! [SV36: $i,SV13: $i] :
( ( ( ~ ( irel @ SV13 @ SV36 ) )
= $true )
| ( ( ~ ! [SY103: $i] :
( ~ ( irel @ SV36 @ SY103 )
| ( p17 @ SY103 ) )
| ! [SY104: $i] :
( ~ ( irel @ SV36 @ SY104 )
| ( p16 @ SY104 ) ) )
= $true )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(267,plain,
! [SV57: $i,SV14: $i] :
( ( ( ~ ( irel @ SV14 @ SV57 )
| ~ ! [SY145: $i] :
( ~ ( irel @ SV57 @ SY145 )
| ( p15 @ SY145 ) )
| ! [SY146: $i] :
( ~ ( irel @ SV57 @ SY146 )
| ( p14 @ SY146 ) ) )
= $true )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(268,plain,
! [SV37: $i,SV14: $i] :
( ( ( ~ ( irel @ SV14 @ SV37 ) )
= $true )
| ( ( ~ ! [SY105: $i] :
( ~ ( irel @ SV37 @ SY105 )
| ( p15 @ SY105 ) )
| ! [SY106: $i] :
( ~ ( irel @ SV37 @ SY106 )
| ( p14 @ SY106 ) ) )
= $true )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(269,plain,
! [SV58: $i,SV15: $i] :
( ( ( ~ ( irel @ SV15 @ SV58 )
| ~ ! [SY147: $i] :
( ~ ( irel @ SV58 @ SY147 )
| ( p18 @ SY147 ) )
| ! [SY148: $i] :
( ~ ( irel @ SV58 @ SY148 )
| ( p17 @ SY148 ) ) )
= $true )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(270,plain,
! [SV38: $i,SV15: $i] :
( ( ( ~ ( irel @ SV15 @ SV38 ) )
= $true )
| ( ( ~ ! [SY107: $i] :
( ~ ( irel @ SV38 @ SY107 )
| ( p18 @ SY107 ) )
| ! [SY108: $i] :
( ~ ( irel @ SV38 @ SY108 )
| ( p17 @ SY108 ) ) )
= $true )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(271,plain,
! [SV59: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ SV59 )
| ~ ! [SY149: $i] :
( ~ ( irel @ SV59 @ SY149 )
| ( p4 @ SY149 ) )
| ! [SY150: $i] :
( ~ ( irel @ SV59 @ SY150 )
| ( p3 @ SY150 ) ) )
= $true )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(272,plain,
! [SV39: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ SV39 ) )
= $true )
| ( ( ~ ! [SY109: $i] :
( ~ ( irel @ SV39 @ SY109 )
| ( p4 @ SY109 ) )
| ! [SY110: $i] :
( ~ ( irel @ SV39 @ SY110 )
| ( p3 @ SY110 ) ) )
= $true )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(273,plain,
! [SV60: $i,SV17: $i] :
( ( ( ~ ( irel @ SV17 @ SV60 )
| ~ ! [SY151: $i] :
( ~ ( irel @ SV60 @ SY151 )
| ( p1 @ SY151 ) )
| ! [SY152: $i] :
( ~ ( irel @ SV60 @ SY152 )
| ( p0 @ SY152 ) ) )
= $true )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(274,plain,
! [SV40: $i,SV17: $i] :
( ( ( ~ ( irel @ SV17 @ SV40 ) )
= $true )
| ( ( ~ ! [SY111: $i] :
( ~ ( irel @ SV40 @ SY111 )
| ( p1 @ SY111 ) )
| ! [SY112: $i] :
( ~ ( irel @ SV40 @ SY112 )
| ( p0 @ SY112 ) ) )
= $true )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(275,plain,
! [SV61: $i,SV18: $i] :
( ( ( ~ ( irel @ SV18 @ SV61 )
| ~ ! [SY153: $i] :
( ~ ( irel @ SV61 @ SY153 )
| ( p8 @ SY153 ) )
| ! [SY154: $i] :
( ~ ( irel @ SV61 @ SY154 )
| ( p7 @ SY154 ) ) )
= $true )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(276,plain,
! [SV41: $i,SV18: $i] :
( ( ( ~ ( irel @ SV18 @ SV41 ) )
= $true )
| ( ( ~ ! [SY113: $i] :
( ~ ( irel @ SV41 @ SY113 )
| ( p8 @ SY113 ) )
| ! [SY114: $i] :
( ~ ( irel @ SV41 @ SY114 )
| ( p7 @ SY114 ) ) )
= $true )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(277,plain,
! [SV62: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV62 )
| ~ ! [SY155: $i] :
( ~ ( irel @ SV62 @ SY155 )
| ( p19 @ SY155 ) )
| ! [SY156: $i] :
( ~ ( irel @ SV62 @ SY156 )
| ( p18 @ SY156 ) ) )
= $true )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(278,plain,
! [SV42: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV42 ) )
= $true )
| ( ( ~ ! [SY115: $i] :
( ~ ( irel @ SV42 @ SY115 )
| ( p19 @ SY115 ) )
| ! [SY116: $i] :
( ~ ( irel @ SV42 @ SY116 )
| ( p18 @ SY116 ) ) )
= $true )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(279,plain,
! [SV63: $i,SV21: $i] :
( ( ( ~ ( irel @ SV21 @ SV63 )
| ~ ! [SY157: $i] :
( ~ ( irel @ SV63 @ SY157 )
| ( p10 @ SY157 ) )
| ! [SY158: $i] :
( ~ ( irel @ SV63 @ SY158 )
| ( p9 @ SY158 ) ) )
= $true )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(280,plain,
! [SV43: $i,SV21: $i] :
( ( ( ~ ( irel @ SV21 @ SV43 ) )
= $true )
| ( ( ~ ! [SY117: $i] :
( ~ ( irel @ SV43 @ SY117 )
| ( p10 @ SY117 ) )
| ! [SY118: $i] :
( ~ ( irel @ SV43 @ SY118 )
| ( p9 @ SY118 ) ) )
= $true )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(281,plain,
! [SV64: $i,SV22: $i] :
( ( ( ~ ( irel @ SV22 @ SV64 )
| ~ ! [SY159: $i] :
( ~ ( irel @ SV64 @ SY159 )
| ( p20 @ SY159 ) )
| ! [SY160: $i] :
( ~ ( irel @ SV64 @ SY160 )
| ( p19 @ SY160 ) ) )
= $true )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(282,plain,
! [SV44: $i,SV22: $i] :
( ( ( ~ ( irel @ SV22 @ SV44 ) )
= $true )
| ( ( ~ ! [SY119: $i] :
( ~ ( irel @ SV44 @ SY119 )
| ( p20 @ SY119 ) )
| ! [SY120: $i] :
( ~ ( irel @ SV44 @ SY120 )
| ( p19 @ SY120 ) ) )
= $true )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(283,plain,
! [SV65: $i,SV23: $i] :
( ( ( ~ ( irel @ SV23 @ SV65 )
| ~ ! [SY161: $i] :
( ~ ( irel @ SV65 @ SY161 )
| ( p2 @ SY161 ) )
| ! [SY162: $i] :
( ~ ( irel @ SV65 @ SY162 )
| ( p1 @ SY162 ) ) )
= $true )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(284,plain,
! [SV45: $i,SV23: $i] :
( ( ( ~ ( irel @ SV23 @ SV45 ) )
= $true )
| ( ( ~ ! [SY121: $i] :
( ~ ( irel @ SV45 @ SY121 )
| ( p2 @ SY121 ) )
| ! [SY122: $i] :
( ~ ( irel @ SV45 @ SY122 )
| ( p1 @ SY122 ) ) )
= $true )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(285,plain,
! [SV46: $i,SV3: $i] :
( ( ( ~ ( irel @ SV3 @ SV46 ) )
= $true )
| ( ( ~ ! [SY123: $i] :
( ~ ( irel @ SV46 @ SY123 )
| ( p13 @ SY123 ) )
| ! [SY124: $i] :
( ~ ( irel @ SV46 @ SY124 )
| ( p12 @ SY124 ) ) )
= $true )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(286,plain,
! [SV26: $i,SV3: $i] :
( ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( ~ ! [SY83: $i] :
( ~ ( irel @ SV26 @ SY83 )
| ( p13 @ SY83 ) )
| ! [SY84: $i] :
( ~ ( irel @ SV26 @ SY84 )
| ( p12 @ SY84 ) ) )
= $true )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(287,plain,
! [SV47: $i,SV4: $i] :
( ( ( ~ ( irel @ SV4 @ SV47 ) )
= $true )
| ( ( ~ ! [SY125: $i] :
( ~ ( irel @ SV47 @ SY125 )
| ( p5 @ SY125 ) )
| ! [SY126: $i] :
( ~ ( irel @ SV47 @ SY126 )
| ( p4 @ SY126 ) ) )
= $true )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(288,plain,
! [SV27: $i,SV4: $i] :
( ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( ~ ! [SY85: $i] :
( ~ ( irel @ SV27 @ SY85 )
| ( p5 @ SY85 ) )
| ! [SY86: $i] :
( ~ ( irel @ SV27 @ SY86 )
| ( p4 @ SY86 ) ) )
= $true )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(289,plain,
! [SV48: $i,SV5: $i] :
( ( ( ~ ( irel @ SV5 @ SV48 ) )
= $true )
| ( ( ~ ! [SY127: $i] :
( ~ ( irel @ SV48 @ SY127 )
| ( p9 @ SY127 ) )
| ! [SY128: $i] :
( ~ ( irel @ SV48 @ SY128 )
| ( p8 @ SY128 ) ) )
= $true )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(290,plain,
! [SV28: $i,SV5: $i] :
( ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( ~ ! [SY87: $i] :
( ~ ( irel @ SV28 @ SY87 )
| ( p9 @ SY87 ) )
| ! [SY88: $i] :
( ~ ( irel @ SV28 @ SY88 )
| ( p8 @ SY88 ) ) )
= $true )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(291,plain,
! [SV49: $i,SV6: $i] :
( ( ( ~ ( irel @ SV6 @ SV49 ) )
= $true )
| ( ( ~ ! [SY129: $i] :
( ~ ( irel @ SV49 @ SY129 )
| ( p16 @ SY129 ) )
| ! [SY130: $i] :
( ~ ( irel @ SV49 @ SY130 )
| ( p15 @ SY130 ) ) )
= $true )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(292,plain,
! [SV29: $i,SV6: $i] :
( ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( ~ ! [SY89: $i] :
( ~ ( irel @ SV29 @ SY89 )
| ( p16 @ SY89 ) )
| ! [SY90: $i] :
( ~ ( irel @ SV29 @ SY90 )
| ( p15 @ SY90 ) ) )
= $true )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(293,plain,
! [SV50: $i,SV7: $i] :
( ( ( ~ ( irel @ SV7 @ SV50 ) )
= $true )
| ( ( ~ ! [SY131: $i] :
( ~ ( irel @ SV50 @ SY131 )
| ( p12 @ SY131 ) )
| ! [SY132: $i] :
( ~ ( irel @ SV50 @ SY132 )
| ( p11 @ SY132 ) ) )
= $true )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(294,plain,
! [SV30: $i,SV7: $i] :
( ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( ~ ! [SY91: $i] :
( ~ ( irel @ SV30 @ SY91 )
| ( p12 @ SY91 ) )
| ! [SY92: $i] :
( ~ ( irel @ SV30 @ SY92 )
| ( p11 @ SY92 ) ) )
= $true )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(295,plain,
! [SV51: $i,SV8: $i] :
( ( ( ~ ( irel @ SV8 @ SV51 ) )
= $true )
| ( ( ~ ! [SY133: $i] :
( ~ ( irel @ SV51 @ SY133 )
| ( p11 @ SY133 ) )
| ! [SY134: $i] :
( ~ ( irel @ SV51 @ SY134 )
| ( p10 @ SY134 ) ) )
= $true )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(296,plain,
! [SV31: $i,SV8: $i] :
( ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( ~ ! [SY93: $i] :
( ~ ( irel @ SV31 @ SY93 )
| ( p11 @ SY93 ) )
| ! [SY94: $i] :
( ~ ( irel @ SV31 @ SY94 )
| ( p10 @ SY94 ) ) )
= $true )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(297,plain,
! [SV52: $i,SV9: $i] :
( ( ( ~ ( irel @ SV9 @ SV52 ) )
= $true )
| ( ( ~ ! [SY135: $i] :
( ~ ( irel @ SV52 @ SY135 )
| ( p6 @ SY135 ) )
| ! [SY136: $i] :
( ~ ( irel @ SV52 @ SY136 )
| ( p5 @ SY136 ) ) )
= $true )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(298,plain,
! [SV32: $i,SV9: $i] :
( ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( ~ ! [SY95: $i] :
( ~ ( irel @ SV32 @ SY95 )
| ( p6 @ SY95 ) )
| ! [SY96: $i] :
( ~ ( irel @ SV32 @ SY96 )
| ( p5 @ SY96 ) ) )
= $true )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(299,plain,
! [SV53: $i,SV10: $i] :
( ( ( ~ ( irel @ SV10 @ SV53 ) )
= $true )
| ( ( ~ ! [SY137: $i] :
( ~ ( irel @ SV53 @ SY137 )
| ( p7 @ SY137 ) )
| ! [SY138: $i] :
( ~ ( irel @ SV53 @ SY138 )
| ( p6 @ SY138 ) ) )
= $true )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(300,plain,
! [SV33: $i,SV10: $i] :
( ( ( irel @ SV10 @ SV33 )
= $false )
| ( ( ~ ! [SY97: $i] :
( ~ ( irel @ SV33 @ SY97 )
| ( p7 @ SY97 ) )
| ! [SY98: $i] :
( ~ ( irel @ SV33 @ SY98 )
| ( p6 @ SY98 ) ) )
= $true )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(301,plain,
! [SV54: $i,SV11: $i] :
( ( ( ~ ( irel @ SV11 @ SV54 ) )
= $true )
| ( ( ~ ! [SY139: $i] :
( ~ ( irel @ SV54 @ SY139 )
| ( p3 @ SY139 ) )
| ! [SY140: $i] :
( ~ ( irel @ SV54 @ SY140 )
| ( p2 @ SY140 ) ) )
= $true )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(302,plain,
! [SV34: $i,SV11: $i] :
( ( ( irel @ SV11 @ SV34 )
= $false )
| ( ( ~ ! [SY99: $i] :
( ~ ( irel @ SV34 @ SY99 )
| ( p3 @ SY99 ) )
| ! [SY100: $i] :
( ~ ( irel @ SV34 @ SY100 )
| ( p2 @ SY100 ) ) )
= $true )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(303,plain,
! [SV55: $i,SV12: $i] :
( ( ( ~ ( irel @ SV12 @ SV55 ) )
= $true )
| ( ( ~ ! [SY141: $i] :
( ~ ( irel @ SV55 @ SY141 )
| ( p14 @ SY141 ) )
| ! [SY142: $i] :
( ~ ( irel @ SV55 @ SY142 )
| ( p13 @ SY142 ) ) )
= $true )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(304,plain,
! [SV35: $i,SV12: $i] :
( ( ( irel @ SV12 @ SV35 )
= $false )
| ( ( ~ ! [SY101: $i] :
( ~ ( irel @ SV35 @ SY101 )
| ( p14 @ SY101 ) )
| ! [SY102: $i] :
( ~ ( irel @ SV35 @ SY102 )
| ( p13 @ SY102 ) ) )
= $true )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(305,plain,
! [SV56: $i,SV13: $i] :
( ( ( ~ ( irel @ SV13 @ SV56 ) )
= $true )
| ( ( ~ ! [SY143: $i] :
( ~ ( irel @ SV56 @ SY143 )
| ( p17 @ SY143 ) )
| ! [SY144: $i] :
( ~ ( irel @ SV56 @ SY144 )
| ( p16 @ SY144 ) ) )
= $true )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(306,plain,
! [SV36: $i,SV13: $i] :
( ( ( irel @ SV13 @ SV36 )
= $false )
| ( ( ~ ! [SY103: $i] :
( ~ ( irel @ SV36 @ SY103 )
| ( p17 @ SY103 ) )
| ! [SY104: $i] :
( ~ ( irel @ SV36 @ SY104 )
| ( p16 @ SY104 ) ) )
= $true )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(307,plain,
! [SV57: $i,SV14: $i] :
( ( ( ~ ( irel @ SV14 @ SV57 ) )
= $true )
| ( ( ~ ! [SY145: $i] :
( ~ ( irel @ SV57 @ SY145 )
| ( p15 @ SY145 ) )
| ! [SY146: $i] :
( ~ ( irel @ SV57 @ SY146 )
| ( p14 @ SY146 ) ) )
= $true )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(308,plain,
! [SV37: $i,SV14: $i] :
( ( ( irel @ SV14 @ SV37 )
= $false )
| ( ( ~ ! [SY105: $i] :
( ~ ( irel @ SV37 @ SY105 )
| ( p15 @ SY105 ) )
| ! [SY106: $i] :
( ~ ( irel @ SV37 @ SY106 )
| ( p14 @ SY106 ) ) )
= $true )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(309,plain,
! [SV58: $i,SV15: $i] :
( ( ( ~ ( irel @ SV15 @ SV58 ) )
= $true )
| ( ( ~ ! [SY147: $i] :
( ~ ( irel @ SV58 @ SY147 )
| ( p18 @ SY147 ) )
| ! [SY148: $i] :
( ~ ( irel @ SV58 @ SY148 )
| ( p17 @ SY148 ) ) )
= $true )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(310,plain,
! [SV38: $i,SV15: $i] :
( ( ( irel @ SV15 @ SV38 )
= $false )
| ( ( ~ ! [SY107: $i] :
( ~ ( irel @ SV38 @ SY107 )
| ( p18 @ SY107 ) )
| ! [SY108: $i] :
( ~ ( irel @ SV38 @ SY108 )
| ( p17 @ SY108 ) ) )
= $true )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(311,plain,
! [SV59: $i,SV16: $i] :
( ( ( ~ ( irel @ SV16 @ SV59 ) )
= $true )
| ( ( ~ ! [SY149: $i] :
( ~ ( irel @ SV59 @ SY149 )
| ( p4 @ SY149 ) )
| ! [SY150: $i] :
( ~ ( irel @ SV59 @ SY150 )
| ( p3 @ SY150 ) ) )
= $true )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(312,plain,
! [SV39: $i,SV16: $i] :
( ( ( irel @ SV16 @ SV39 )
= $false )
| ( ( ~ ! [SY109: $i] :
( ~ ( irel @ SV39 @ SY109 )
| ( p4 @ SY109 ) )
| ! [SY110: $i] :
( ~ ( irel @ SV39 @ SY110 )
| ( p3 @ SY110 ) ) )
= $true )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(313,plain,
! [SV60: $i,SV17: $i] :
( ( ( ~ ( irel @ SV17 @ SV60 ) )
= $true )
| ( ( ~ ! [SY151: $i] :
( ~ ( irel @ SV60 @ SY151 )
| ( p1 @ SY151 ) )
| ! [SY152: $i] :
( ~ ( irel @ SV60 @ SY152 )
| ( p0 @ SY152 ) ) )
= $true )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(314,plain,
! [SV40: $i,SV17: $i] :
( ( ( irel @ SV17 @ SV40 )
= $false )
| ( ( ~ ! [SY111: $i] :
( ~ ( irel @ SV40 @ SY111 )
| ( p1 @ SY111 ) )
| ! [SY112: $i] :
( ~ ( irel @ SV40 @ SY112 )
| ( p0 @ SY112 ) ) )
= $true )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(315,plain,
! [SV61: $i,SV18: $i] :
( ( ( ~ ( irel @ SV18 @ SV61 ) )
= $true )
| ( ( ~ ! [SY153: $i] :
( ~ ( irel @ SV61 @ SY153 )
| ( p8 @ SY153 ) )
| ! [SY154: $i] :
( ~ ( irel @ SV61 @ SY154 )
| ( p7 @ SY154 ) ) )
= $true )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(316,plain,
! [SV41: $i,SV18: $i] :
( ( ( irel @ SV18 @ SV41 )
= $false )
| ( ( ~ ! [SY113: $i] :
( ~ ( irel @ SV41 @ SY113 )
| ( p8 @ SY113 ) )
| ! [SY114: $i] :
( ~ ( irel @ SV41 @ SY114 )
| ( p7 @ SY114 ) ) )
= $true )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(317,plain,
! [SV62: $i,SV20: $i] :
( ( ( ~ ( irel @ SV20 @ SV62 ) )
= $true )
| ( ( ~ ! [SY155: $i] :
( ~ ( irel @ SV62 @ SY155 )
| ( p19 @ SY155 ) )
| ! [SY156: $i] :
( ~ ( irel @ SV62 @ SY156 )
| ( p18 @ SY156 ) ) )
= $true )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(318,plain,
! [SV42: $i,SV20: $i] :
( ( ( irel @ SV20 @ SV42 )
= $false )
| ( ( ~ ! [SY115: $i] :
( ~ ( irel @ SV42 @ SY115 )
| ( p19 @ SY115 ) )
| ! [SY116: $i] :
( ~ ( irel @ SV42 @ SY116 )
| ( p18 @ SY116 ) ) )
= $true )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(319,plain,
! [SV63: $i,SV21: $i] :
( ( ( ~ ( irel @ SV21 @ SV63 ) )
= $true )
| ( ( ~ ! [SY157: $i] :
( ~ ( irel @ SV63 @ SY157 )
| ( p10 @ SY157 ) )
| ! [SY158: $i] :
( ~ ( irel @ SV63 @ SY158 )
| ( p9 @ SY158 ) ) )
= $true )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(320,plain,
! [SV43: $i,SV21: $i] :
( ( ( irel @ SV21 @ SV43 )
= $false )
| ( ( ~ ! [SY117: $i] :
( ~ ( irel @ SV43 @ SY117 )
| ( p10 @ SY117 ) )
| ! [SY118: $i] :
( ~ ( irel @ SV43 @ SY118 )
| ( p9 @ SY118 ) ) )
= $true )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(321,plain,
! [SV64: $i,SV22: $i] :
( ( ( ~ ( irel @ SV22 @ SV64 ) )
= $true )
| ( ( ~ ! [SY159: $i] :
( ~ ( irel @ SV64 @ SY159 )
| ( p20 @ SY159 ) )
| ! [SY160: $i] :
( ~ ( irel @ SV64 @ SY160 )
| ( p19 @ SY160 ) ) )
= $true )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(322,plain,
! [SV44: $i,SV22: $i] :
( ( ( irel @ SV22 @ SV44 )
= $false )
| ( ( ~ ! [SY119: $i] :
( ~ ( irel @ SV44 @ SY119 )
| ( p20 @ SY119 ) )
| ! [SY120: $i] :
( ~ ( irel @ SV44 @ SY120 )
| ( p19 @ SY120 ) ) )
= $true )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(323,plain,
! [SV65: $i,SV23: $i] :
( ( ( ~ ( irel @ SV23 @ SV65 ) )
= $true )
| ( ( ~ ! [SY161: $i] :
( ~ ( irel @ SV65 @ SY161 )
| ( p2 @ SY161 ) )
| ! [SY162: $i] :
( ~ ( irel @ SV65 @ SY162 )
| ( p1 @ SY162 ) ) )
= $true )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(324,plain,
! [SV45: $i,SV23: $i] :
( ( ( irel @ SV23 @ SV45 )
= $false )
| ( ( ~ ! [SY121: $i] :
( ~ ( irel @ SV45 @ SY121 )
| ( p2 @ SY121 ) )
| ! [SY122: $i] :
( ~ ( irel @ SV45 @ SY122 )
| ( p1 @ SY122 ) ) )
= $true )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(325,plain,
! [SV46: $i,SV3: $i] :
( ( ( irel @ SV3 @ SV46 )
= $false )
| ( ( ~ ! [SY123: $i] :
( ~ ( irel @ SV46 @ SY123 )
| ( p13 @ SY123 ) )
| ! [SY124: $i] :
( ~ ( irel @ SV46 @ SY124 )
| ( p12 @ SY124 ) ) )
= $true )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(326,plain,
! [SV3: $i,SV26: $i] :
( ( ( ~ ! [SY83: $i] :
( ~ ( irel @ SV26 @ SY83 )
| ( p13 @ SY83 ) ) )
= $true )
| ( ( ! [SY84: $i] :
( ~ ( irel @ SV26 @ SY84 )
| ( p12 @ SY84 ) ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(327,plain,
! [SV47: $i,SV4: $i] :
( ( ( irel @ SV4 @ SV47 )
= $false )
| ( ( ~ ! [SY125: $i] :
( ~ ( irel @ SV47 @ SY125 )
| ( p5 @ SY125 ) )
| ! [SY126: $i] :
( ~ ( irel @ SV47 @ SY126 )
| ( p4 @ SY126 ) ) )
= $true )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(328,plain,
! [SV4: $i,SV27: $i] :
( ( ( ~ ! [SY85: $i] :
( ~ ( irel @ SV27 @ SY85 )
| ( p5 @ SY85 ) ) )
= $true )
| ( ( ! [SY86: $i] :
( ~ ( irel @ SV27 @ SY86 )
| ( p4 @ SY86 ) ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(329,plain,
! [SV48: $i,SV5: $i] :
( ( ( irel @ SV5 @ SV48 )
= $false )
| ( ( ~ ! [SY127: $i] :
( ~ ( irel @ SV48 @ SY127 )
| ( p9 @ SY127 ) )
| ! [SY128: $i] :
( ~ ( irel @ SV48 @ SY128 )
| ( p8 @ SY128 ) ) )
= $true )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(330,plain,
! [SV5: $i,SV28: $i] :
( ( ( ~ ! [SY87: $i] :
( ~ ( irel @ SV28 @ SY87 )
| ( p9 @ SY87 ) ) )
= $true )
| ( ( ! [SY88: $i] :
( ~ ( irel @ SV28 @ SY88 )
| ( p8 @ SY88 ) ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(331,plain,
! [SV49: $i,SV6: $i] :
( ( ( irel @ SV6 @ SV49 )
= $false )
| ( ( ~ ! [SY129: $i] :
( ~ ( irel @ SV49 @ SY129 )
| ( p16 @ SY129 ) )
| ! [SY130: $i] :
( ~ ( irel @ SV49 @ SY130 )
| ( p15 @ SY130 ) ) )
= $true )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(332,plain,
! [SV6: $i,SV29: $i] :
( ( ( ~ ! [SY89: $i] :
( ~ ( irel @ SV29 @ SY89 )
| ( p16 @ SY89 ) ) )
= $true )
| ( ( ! [SY90: $i] :
( ~ ( irel @ SV29 @ SY90 )
| ( p15 @ SY90 ) ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(333,plain,
! [SV50: $i,SV7: $i] :
( ( ( irel @ SV7 @ SV50 )
= $false )
| ( ( ~ ! [SY131: $i] :
( ~ ( irel @ SV50 @ SY131 )
| ( p12 @ SY131 ) )
| ! [SY132: $i] :
( ~ ( irel @ SV50 @ SY132 )
| ( p11 @ SY132 ) ) )
= $true )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(334,plain,
! [SV7: $i,SV30: $i] :
( ( ( ~ ! [SY91: $i] :
( ~ ( irel @ SV30 @ SY91 )
| ( p12 @ SY91 ) ) )
= $true )
| ( ( ! [SY92: $i] :
( ~ ( irel @ SV30 @ SY92 )
| ( p11 @ SY92 ) ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(335,plain,
! [SV51: $i,SV8: $i] :
( ( ( irel @ SV8 @ SV51 )
= $false )
| ( ( ~ ! [SY133: $i] :
( ~ ( irel @ SV51 @ SY133 )
| ( p11 @ SY133 ) )
| ! [SY134: $i] :
( ~ ( irel @ SV51 @ SY134 )
| ( p10 @ SY134 ) ) )
= $true )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(336,plain,
! [SV8: $i,SV31: $i] :
( ( ( ~ ! [SY93: $i] :
( ~ ( irel @ SV31 @ SY93 )
| ( p11 @ SY93 ) ) )
= $true )
| ( ( ! [SY94: $i] :
( ~ ( irel @ SV31 @ SY94 )
| ( p10 @ SY94 ) ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(337,plain,
! [SV52: $i,SV9: $i] :
( ( ( irel @ SV9 @ SV52 )
= $false )
| ( ( ~ ! [SY135: $i] :
( ~ ( irel @ SV52 @ SY135 )
| ( p6 @ SY135 ) )
| ! [SY136: $i] :
( ~ ( irel @ SV52 @ SY136 )
| ( p5 @ SY136 ) ) )
= $true )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(338,plain,
! [SV9: $i,SV32: $i] :
( ( ( ~ ! [SY95: $i] :
( ~ ( irel @ SV32 @ SY95 )
| ( p6 @ SY95 ) ) )
= $true )
| ( ( ! [SY96: $i] :
( ~ ( irel @ SV32 @ SY96 )
| ( p5 @ SY96 ) ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(339,plain,
! [SV53: $i,SV10: $i] :
( ( ( irel @ SV10 @ SV53 )
= $false )
| ( ( ~ ! [SY137: $i] :
( ~ ( irel @ SV53 @ SY137 )
| ( p7 @ SY137 ) )
| ! [SY138: $i] :
( ~ ( irel @ SV53 @ SY138 )
| ( p6 @ SY138 ) ) )
= $true )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(340,plain,
! [SV10: $i,SV33: $i] :
( ( ( ~ ! [SY97: $i] :
( ~ ( irel @ SV33 @ SY97 )
| ( p7 @ SY97 ) ) )
= $true )
| ( ( ! [SY98: $i] :
( ~ ( irel @ SV33 @ SY98 )
| ( p6 @ SY98 ) ) )
= $true )
| ( ( irel @ SV10 @ SV33 )
= $false )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(341,plain,
! [SV54: $i,SV11: $i] :
( ( ( irel @ SV11 @ SV54 )
= $false )
| ( ( ~ ! [SY139: $i] :
( ~ ( irel @ SV54 @ SY139 )
| ( p3 @ SY139 ) )
| ! [SY140: $i] :
( ~ ( irel @ SV54 @ SY140 )
| ( p2 @ SY140 ) ) )
= $true )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(342,plain,
! [SV11: $i,SV34: $i] :
( ( ( ~ ! [SY99: $i] :
( ~ ( irel @ SV34 @ SY99 )
| ( p3 @ SY99 ) ) )
= $true )
| ( ( ! [SY100: $i] :
( ~ ( irel @ SV34 @ SY100 )
| ( p2 @ SY100 ) ) )
= $true )
| ( ( irel @ SV11 @ SV34 )
= $false )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(343,plain,
! [SV55: $i,SV12: $i] :
( ( ( irel @ SV12 @ SV55 )
= $false )
| ( ( ~ ! [SY141: $i] :
( ~ ( irel @ SV55 @ SY141 )
| ( p14 @ SY141 ) )
| ! [SY142: $i] :
( ~ ( irel @ SV55 @ SY142 )
| ( p13 @ SY142 ) ) )
= $true )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(344,plain,
! [SV12: $i,SV35: $i] :
( ( ( ~ ! [SY101: $i] :
( ~ ( irel @ SV35 @ SY101 )
| ( p14 @ SY101 ) ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( irel @ SV35 @ SY102 )
| ( p13 @ SY102 ) ) )
= $true )
| ( ( irel @ SV12 @ SV35 )
= $false )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(345,plain,
! [SV56: $i,SV13: $i] :
( ( ( irel @ SV13 @ SV56 )
= $false )
| ( ( ~ ! [SY143: $i] :
( ~ ( irel @ SV56 @ SY143 )
| ( p17 @ SY143 ) )
| ! [SY144: $i] :
( ~ ( irel @ SV56 @ SY144 )
| ( p16 @ SY144 ) ) )
= $true )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(346,plain,
! [SV13: $i,SV36: $i] :
( ( ( ~ ! [SY103: $i] :
( ~ ( irel @ SV36 @ SY103 )
| ( p17 @ SY103 ) ) )
= $true )
| ( ( ! [SY104: $i] :
( ~ ( irel @ SV36 @ SY104 )
| ( p16 @ SY104 ) ) )
= $true )
| ( ( irel @ SV13 @ SV36 )
= $false )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(347,plain,
! [SV57: $i,SV14: $i] :
( ( ( irel @ SV14 @ SV57 )
= $false )
| ( ( ~ ! [SY145: $i] :
( ~ ( irel @ SV57 @ SY145 )
| ( p15 @ SY145 ) )
| ! [SY146: $i] :
( ~ ( irel @ SV57 @ SY146 )
| ( p14 @ SY146 ) ) )
= $true )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(348,plain,
! [SV14: $i,SV37: $i] :
( ( ( ~ ! [SY105: $i] :
( ~ ( irel @ SV37 @ SY105 )
| ( p15 @ SY105 ) ) )
= $true )
| ( ( ! [SY106: $i] :
( ~ ( irel @ SV37 @ SY106 )
| ( p14 @ SY106 ) ) )
= $true )
| ( ( irel @ SV14 @ SV37 )
= $false )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(349,plain,
! [SV58: $i,SV15: $i] :
( ( ( irel @ SV15 @ SV58 )
= $false )
| ( ( ~ ! [SY147: $i] :
( ~ ( irel @ SV58 @ SY147 )
| ( p18 @ SY147 ) )
| ! [SY148: $i] :
( ~ ( irel @ SV58 @ SY148 )
| ( p17 @ SY148 ) ) )
= $true )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(350,plain,
! [SV15: $i,SV38: $i] :
( ( ( ~ ! [SY107: $i] :
( ~ ( irel @ SV38 @ SY107 )
| ( p18 @ SY107 ) ) )
= $true )
| ( ( ! [SY108: $i] :
( ~ ( irel @ SV38 @ SY108 )
| ( p17 @ SY108 ) ) )
= $true )
| ( ( irel @ SV15 @ SV38 )
= $false )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(351,plain,
! [SV59: $i,SV16: $i] :
( ( ( irel @ SV16 @ SV59 )
= $false )
| ( ( ~ ! [SY149: $i] :
( ~ ( irel @ SV59 @ SY149 )
| ( p4 @ SY149 ) )
| ! [SY150: $i] :
( ~ ( irel @ SV59 @ SY150 )
| ( p3 @ SY150 ) ) )
= $true )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(352,plain,
! [SV16: $i,SV39: $i] :
( ( ( ~ ! [SY109: $i] :
( ~ ( irel @ SV39 @ SY109 )
| ( p4 @ SY109 ) ) )
= $true )
| ( ( ! [SY110: $i] :
( ~ ( irel @ SV39 @ SY110 )
| ( p3 @ SY110 ) ) )
= $true )
| ( ( irel @ SV16 @ SV39 )
= $false )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(353,plain,
! [SV60: $i,SV17: $i] :
( ( ( irel @ SV17 @ SV60 )
= $false )
| ( ( ~ ! [SY151: $i] :
( ~ ( irel @ SV60 @ SY151 )
| ( p1 @ SY151 ) )
| ! [SY152: $i] :
( ~ ( irel @ SV60 @ SY152 )
| ( p0 @ SY152 ) ) )
= $true )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(354,plain,
! [SV17: $i,SV40: $i] :
( ( ( ~ ! [SY111: $i] :
( ~ ( irel @ SV40 @ SY111 )
| ( p1 @ SY111 ) ) )
= $true )
| ( ( ! [SY112: $i] :
( ~ ( irel @ SV40 @ SY112 )
| ( p0 @ SY112 ) ) )
= $true )
| ( ( irel @ SV17 @ SV40 )
= $false )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(355,plain,
! [SV61: $i,SV18: $i] :
( ( ( irel @ SV18 @ SV61 )
= $false )
| ( ( ~ ! [SY153: $i] :
( ~ ( irel @ SV61 @ SY153 )
| ( p8 @ SY153 ) )
| ! [SY154: $i] :
( ~ ( irel @ SV61 @ SY154 )
| ( p7 @ SY154 ) ) )
= $true )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(356,plain,
! [SV18: $i,SV41: $i] :
( ( ( ~ ! [SY113: $i] :
( ~ ( irel @ SV41 @ SY113 )
| ( p8 @ SY113 ) ) )
= $true )
| ( ( ! [SY114: $i] :
( ~ ( irel @ SV41 @ SY114 )
| ( p7 @ SY114 ) ) )
= $true )
| ( ( irel @ SV18 @ SV41 )
= $false )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(357,plain,
! [SV62: $i,SV20: $i] :
( ( ( irel @ SV20 @ SV62 )
= $false )
| ( ( ~ ! [SY155: $i] :
( ~ ( irel @ SV62 @ SY155 )
| ( p19 @ SY155 ) )
| ! [SY156: $i] :
( ~ ( irel @ SV62 @ SY156 )
| ( p18 @ SY156 ) ) )
= $true )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(358,plain,
! [SV20: $i,SV42: $i] :
( ( ( ~ ! [SY115: $i] :
( ~ ( irel @ SV42 @ SY115 )
| ( p19 @ SY115 ) ) )
= $true )
| ( ( ! [SY116: $i] :
( ~ ( irel @ SV42 @ SY116 )
| ( p18 @ SY116 ) ) )
= $true )
| ( ( irel @ SV20 @ SV42 )
= $false )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(359,plain,
! [SV63: $i,SV21: $i] :
( ( ( irel @ SV21 @ SV63 )
= $false )
| ( ( ~ ! [SY157: $i] :
( ~ ( irel @ SV63 @ SY157 )
| ( p10 @ SY157 ) )
| ! [SY158: $i] :
( ~ ( irel @ SV63 @ SY158 )
| ( p9 @ SY158 ) ) )
= $true )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(360,plain,
! [SV21: $i,SV43: $i] :
( ( ( ~ ! [SY117: $i] :
( ~ ( irel @ SV43 @ SY117 )
| ( p10 @ SY117 ) ) )
= $true )
| ( ( ! [SY118: $i] :
( ~ ( irel @ SV43 @ SY118 )
| ( p9 @ SY118 ) ) )
= $true )
| ( ( irel @ SV21 @ SV43 )
= $false )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(361,plain,
! [SV64: $i,SV22: $i] :
( ( ( irel @ SV22 @ SV64 )
= $false )
| ( ( ~ ! [SY159: $i] :
( ~ ( irel @ SV64 @ SY159 )
| ( p20 @ SY159 ) )
| ! [SY160: $i] :
( ~ ( irel @ SV64 @ SY160 )
| ( p19 @ SY160 ) ) )
= $true )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(362,plain,
! [SV22: $i,SV44: $i] :
( ( ( ~ ! [SY119: $i] :
( ~ ( irel @ SV44 @ SY119 )
| ( p20 @ SY119 ) ) )
= $true )
| ( ( ! [SY120: $i] :
( ~ ( irel @ SV44 @ SY120 )
| ( p19 @ SY120 ) ) )
= $true )
| ( ( irel @ SV22 @ SV44 )
= $false )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(363,plain,
! [SV65: $i,SV23: $i] :
( ( ( irel @ SV23 @ SV65 )
= $false )
| ( ( ~ ! [SY161: $i] :
( ~ ( irel @ SV65 @ SY161 )
| ( p2 @ SY161 ) )
| ! [SY162: $i] :
( ~ ( irel @ SV65 @ SY162 )
| ( p1 @ SY162 ) ) )
= $true )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(364,plain,
! [SV23: $i,SV45: $i] :
( ( ( ~ ! [SY121: $i] :
( ~ ( irel @ SV45 @ SY121 )
| ( p2 @ SY121 ) ) )
= $true )
| ( ( ! [SY122: $i] :
( ~ ( irel @ SV45 @ SY122 )
| ( p1 @ SY122 ) ) )
= $true )
| ( ( irel @ SV23 @ SV45 )
= $false )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(365,plain,
! [SV3: $i,SV46: $i] :
( ( ( ~ ! [SY123: $i] :
( ~ ( irel @ SV46 @ SY123 )
| ( p13 @ SY123 ) ) )
= $true )
| ( ( ! [SY124: $i] :
( ~ ( irel @ SV46 @ SY124 )
| ( p12 @ SY124 ) ) )
= $true )
| ( ( irel @ SV3 @ SV46 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(366,plain,
! [SV3: $i,SV26: $i] :
( ( ( ! [SY83: $i] :
( ~ ( irel @ SV26 @ SY83 )
| ( p13 @ SY83 ) ) )
= $false )
| ( ( ! [SY84: $i] :
( ~ ( irel @ SV26 @ SY84 )
| ( p12 @ SY84 ) ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(367,plain,
! [SV4: $i,SV47: $i] :
( ( ( ~ ! [SY125: $i] :
( ~ ( irel @ SV47 @ SY125 )
| ( p5 @ SY125 ) ) )
= $true )
| ( ( ! [SY126: $i] :
( ~ ( irel @ SV47 @ SY126 )
| ( p4 @ SY126 ) ) )
= $true )
| ( ( irel @ SV4 @ SV47 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(368,plain,
! [SV4: $i,SV27: $i] :
( ( ( ! [SY85: $i] :
( ~ ( irel @ SV27 @ SY85 )
| ( p5 @ SY85 ) ) )
= $false )
| ( ( ! [SY86: $i] :
( ~ ( irel @ SV27 @ SY86 )
| ( p4 @ SY86 ) ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(369,plain,
! [SV5: $i,SV48: $i] :
( ( ( ~ ! [SY127: $i] :
( ~ ( irel @ SV48 @ SY127 )
| ( p9 @ SY127 ) ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ( irel @ SV48 @ SY128 )
| ( p8 @ SY128 ) ) )
= $true )
| ( ( irel @ SV5 @ SV48 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(370,plain,
! [SV5: $i,SV28: $i] :
( ( ( ! [SY87: $i] :
( ~ ( irel @ SV28 @ SY87 )
| ( p9 @ SY87 ) ) )
= $false )
| ( ( ! [SY88: $i] :
( ~ ( irel @ SV28 @ SY88 )
| ( p8 @ SY88 ) ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(371,plain,
! [SV6: $i,SV49: $i] :
( ( ( ~ ! [SY129: $i] :
( ~ ( irel @ SV49 @ SY129 )
| ( p16 @ SY129 ) ) )
= $true )
| ( ( ! [SY130: $i] :
( ~ ( irel @ SV49 @ SY130 )
| ( p15 @ SY130 ) ) )
= $true )
| ( ( irel @ SV6 @ SV49 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(372,plain,
! [SV6: $i,SV29: $i] :
( ( ( ! [SY89: $i] :
( ~ ( irel @ SV29 @ SY89 )
| ( p16 @ SY89 ) ) )
= $false )
| ( ( ! [SY90: $i] :
( ~ ( irel @ SV29 @ SY90 )
| ( p15 @ SY90 ) ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(373,plain,
! [SV7: $i,SV50: $i] :
( ( ( ~ ! [SY131: $i] :
( ~ ( irel @ SV50 @ SY131 )
| ( p12 @ SY131 ) ) )
= $true )
| ( ( ! [SY132: $i] :
( ~ ( irel @ SV50 @ SY132 )
| ( p11 @ SY132 ) ) )
= $true )
| ( ( irel @ SV7 @ SV50 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(374,plain,
! [SV7: $i,SV30: $i] :
( ( ( ! [SY91: $i] :
( ~ ( irel @ SV30 @ SY91 )
| ( p12 @ SY91 ) ) )
= $false )
| ( ( ! [SY92: $i] :
( ~ ( irel @ SV30 @ SY92 )
| ( p11 @ SY92 ) ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(375,plain,
! [SV8: $i,SV51: $i] :
( ( ( ~ ! [SY133: $i] :
( ~ ( irel @ SV51 @ SY133 )
| ( p11 @ SY133 ) ) )
= $true )
| ( ( ! [SY134: $i] :
( ~ ( irel @ SV51 @ SY134 )
| ( p10 @ SY134 ) ) )
= $true )
| ( ( irel @ SV8 @ SV51 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(376,plain,
! [SV8: $i,SV31: $i] :
( ( ( ! [SY93: $i] :
( ~ ( irel @ SV31 @ SY93 )
| ( p11 @ SY93 ) ) )
= $false )
| ( ( ! [SY94: $i] :
( ~ ( irel @ SV31 @ SY94 )
| ( p10 @ SY94 ) ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(377,plain,
! [SV9: $i,SV52: $i] :
( ( ( ~ ! [SY135: $i] :
( ~ ( irel @ SV52 @ SY135 )
| ( p6 @ SY135 ) ) )
= $true )
| ( ( ! [SY136: $i] :
( ~ ( irel @ SV52 @ SY136 )
| ( p5 @ SY136 ) ) )
= $true )
| ( ( irel @ SV9 @ SV52 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(378,plain,
! [SV9: $i,SV32: $i] :
( ( ( ! [SY95: $i] :
( ~ ( irel @ SV32 @ SY95 )
| ( p6 @ SY95 ) ) )
= $false )
| ( ( ! [SY96: $i] :
( ~ ( irel @ SV32 @ SY96 )
| ( p5 @ SY96 ) ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(379,plain,
! [SV10: $i,SV53: $i] :
( ( ( ~ ! [SY137: $i] :
( ~ ( irel @ SV53 @ SY137 )
| ( p7 @ SY137 ) ) )
= $true )
| ( ( ! [SY138: $i] :
( ~ ( irel @ SV53 @ SY138 )
| ( p6 @ SY138 ) ) )
= $true )
| ( ( irel @ SV10 @ SV53 )
= $false )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(380,plain,
! [SV10: $i,SV33: $i] :
( ( ( ! [SY97: $i] :
( ~ ( irel @ SV33 @ SY97 )
| ( p7 @ SY97 ) ) )
= $false )
| ( ( ! [SY98: $i] :
( ~ ( irel @ SV33 @ SY98 )
| ( p6 @ SY98 ) ) )
= $true )
| ( ( irel @ SV10 @ SV33 )
= $false )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(381,plain,
! [SV11: $i,SV54: $i] :
( ( ( ~ ! [SY139: $i] :
( ~ ( irel @ SV54 @ SY139 )
| ( p3 @ SY139 ) ) )
= $true )
| ( ( ! [SY140: $i] :
( ~ ( irel @ SV54 @ SY140 )
| ( p2 @ SY140 ) ) )
= $true )
| ( ( irel @ SV11 @ SV54 )
= $false )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(382,plain,
! [SV11: $i,SV34: $i] :
( ( ( ! [SY99: $i] :
( ~ ( irel @ SV34 @ SY99 )
| ( p3 @ SY99 ) ) )
= $false )
| ( ( ! [SY100: $i] :
( ~ ( irel @ SV34 @ SY100 )
| ( p2 @ SY100 ) ) )
= $true )
| ( ( irel @ SV11 @ SV34 )
= $false )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(383,plain,
! [SV12: $i,SV55: $i] :
( ( ( ~ ! [SY141: $i] :
( ~ ( irel @ SV55 @ SY141 )
| ( p14 @ SY141 ) ) )
= $true )
| ( ( ! [SY142: $i] :
( ~ ( irel @ SV55 @ SY142 )
| ( p13 @ SY142 ) ) )
= $true )
| ( ( irel @ SV12 @ SV55 )
= $false )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(384,plain,
! [SV12: $i,SV35: $i] :
( ( ( ! [SY101: $i] :
( ~ ( irel @ SV35 @ SY101 )
| ( p14 @ SY101 ) ) )
= $false )
| ( ( ! [SY102: $i] :
( ~ ( irel @ SV35 @ SY102 )
| ( p13 @ SY102 ) ) )
= $true )
| ( ( irel @ SV12 @ SV35 )
= $false )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(385,plain,
! [SV13: $i,SV56: $i] :
( ( ( ~ ! [SY143: $i] :
( ~ ( irel @ SV56 @ SY143 )
| ( p17 @ SY143 ) ) )
= $true )
| ( ( ! [SY144: $i] :
( ~ ( irel @ SV56 @ SY144 )
| ( p16 @ SY144 ) ) )
= $true )
| ( ( irel @ SV13 @ SV56 )
= $false )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(386,plain,
! [SV13: $i,SV36: $i] :
( ( ( ! [SY103: $i] :
( ~ ( irel @ SV36 @ SY103 )
| ( p17 @ SY103 ) ) )
= $false )
| ( ( ! [SY104: $i] :
( ~ ( irel @ SV36 @ SY104 )
| ( p16 @ SY104 ) ) )
= $true )
| ( ( irel @ SV13 @ SV36 )
= $false )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(387,plain,
! [SV14: $i,SV57: $i] :
( ( ( ~ ! [SY145: $i] :
( ~ ( irel @ SV57 @ SY145 )
| ( p15 @ SY145 ) ) )
= $true )
| ( ( ! [SY146: $i] :
( ~ ( irel @ SV57 @ SY146 )
| ( p14 @ SY146 ) ) )
= $true )
| ( ( irel @ SV14 @ SV57 )
= $false )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(388,plain,
! [SV14: $i,SV37: $i] :
( ( ( ! [SY105: $i] :
( ~ ( irel @ SV37 @ SY105 )
| ( p15 @ SY105 ) ) )
= $false )
| ( ( ! [SY106: $i] :
( ~ ( irel @ SV37 @ SY106 )
| ( p14 @ SY106 ) ) )
= $true )
| ( ( irel @ SV14 @ SV37 )
= $false )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(389,plain,
! [SV15: $i,SV58: $i] :
( ( ( ~ ! [SY147: $i] :
( ~ ( irel @ SV58 @ SY147 )
| ( p18 @ SY147 ) ) )
= $true )
| ( ( ! [SY148: $i] :
( ~ ( irel @ SV58 @ SY148 )
| ( p17 @ SY148 ) ) )
= $true )
| ( ( irel @ SV15 @ SV58 )
= $false )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(390,plain,
! [SV15: $i,SV38: $i] :
( ( ( ! [SY107: $i] :
( ~ ( irel @ SV38 @ SY107 )
| ( p18 @ SY107 ) ) )
= $false )
| ( ( ! [SY108: $i] :
( ~ ( irel @ SV38 @ SY108 )
| ( p17 @ SY108 ) ) )
= $true )
| ( ( irel @ SV15 @ SV38 )
= $false )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(391,plain,
! [SV16: $i,SV59: $i] :
( ( ( ~ ! [SY149: $i] :
( ~ ( irel @ SV59 @ SY149 )
| ( p4 @ SY149 ) ) )
= $true )
| ( ( ! [SY150: $i] :
( ~ ( irel @ SV59 @ SY150 )
| ( p3 @ SY150 ) ) )
= $true )
| ( ( irel @ SV16 @ SV59 )
= $false )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(392,plain,
! [SV16: $i,SV39: $i] :
( ( ( ! [SY109: $i] :
( ~ ( irel @ SV39 @ SY109 )
| ( p4 @ SY109 ) ) )
= $false )
| ( ( ! [SY110: $i] :
( ~ ( irel @ SV39 @ SY110 )
| ( p3 @ SY110 ) ) )
= $true )
| ( ( irel @ SV16 @ SV39 )
= $false )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(393,plain,
! [SV17: $i,SV60: $i] :
( ( ( ~ ! [SY151: $i] :
( ~ ( irel @ SV60 @ SY151 )
| ( p1 @ SY151 ) ) )
= $true )
| ( ( ! [SY152: $i] :
( ~ ( irel @ SV60 @ SY152 )
| ( p0 @ SY152 ) ) )
= $true )
| ( ( irel @ SV17 @ SV60 )
= $false )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(394,plain,
! [SV17: $i,SV40: $i] :
( ( ( ! [SY111: $i] :
( ~ ( irel @ SV40 @ SY111 )
| ( p1 @ SY111 ) ) )
= $false )
| ( ( ! [SY112: $i] :
( ~ ( irel @ SV40 @ SY112 )
| ( p0 @ SY112 ) ) )
= $true )
| ( ( irel @ SV17 @ SV40 )
= $false )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(395,plain,
! [SV18: $i,SV61: $i] :
( ( ( ~ ! [SY153: $i] :
( ~ ( irel @ SV61 @ SY153 )
| ( p8 @ SY153 ) ) )
= $true )
| ( ( ! [SY154: $i] :
( ~ ( irel @ SV61 @ SY154 )
| ( p7 @ SY154 ) ) )
= $true )
| ( ( irel @ SV18 @ SV61 )
= $false )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(396,plain,
! [SV18: $i,SV41: $i] :
( ( ( ! [SY113: $i] :
( ~ ( irel @ SV41 @ SY113 )
| ( p8 @ SY113 ) ) )
= $false )
| ( ( ! [SY114: $i] :
( ~ ( irel @ SV41 @ SY114 )
| ( p7 @ SY114 ) ) )
= $true )
| ( ( irel @ SV18 @ SV41 )
= $false )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(397,plain,
! [SV20: $i,SV62: $i] :
( ( ( ~ ! [SY155: $i] :
( ~ ( irel @ SV62 @ SY155 )
| ( p19 @ SY155 ) ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( irel @ SV62 @ SY156 )
| ( p18 @ SY156 ) ) )
= $true )
| ( ( irel @ SV20 @ SV62 )
= $false )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(398,plain,
! [SV20: $i,SV42: $i] :
( ( ( ! [SY115: $i] :
( ~ ( irel @ SV42 @ SY115 )
| ( p19 @ SY115 ) ) )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( irel @ SV42 @ SY116 )
| ( p18 @ SY116 ) ) )
= $true )
| ( ( irel @ SV20 @ SV42 )
= $false )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(399,plain,
! [SV21: $i,SV63: $i] :
( ( ( ~ ! [SY157: $i] :
( ~ ( irel @ SV63 @ SY157 )
| ( p10 @ SY157 ) ) )
= $true )
| ( ( ! [SY158: $i] :
( ~ ( irel @ SV63 @ SY158 )
| ( p9 @ SY158 ) ) )
= $true )
| ( ( irel @ SV21 @ SV63 )
= $false )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(400,plain,
! [SV21: $i,SV43: $i] :
( ( ( ! [SY117: $i] :
( ~ ( irel @ SV43 @ SY117 )
| ( p10 @ SY117 ) ) )
= $false )
| ( ( ! [SY118: $i] :
( ~ ( irel @ SV43 @ SY118 )
| ( p9 @ SY118 ) ) )
= $true )
| ( ( irel @ SV21 @ SV43 )
= $false )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(401,plain,
! [SV22: $i,SV64: $i] :
( ( ( ~ ! [SY159: $i] :
( ~ ( irel @ SV64 @ SY159 )
| ( p20 @ SY159 ) ) )
= $true )
| ( ( ! [SY160: $i] :
( ~ ( irel @ SV64 @ SY160 )
| ( p19 @ SY160 ) ) )
= $true )
| ( ( irel @ SV22 @ SV64 )
= $false )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(402,plain,
! [SV22: $i,SV44: $i] :
( ( ( ! [SY119: $i] :
( ~ ( irel @ SV44 @ SY119 )
| ( p20 @ SY119 ) ) )
= $false )
| ( ( ! [SY120: $i] :
( ~ ( irel @ SV44 @ SY120 )
| ( p19 @ SY120 ) ) )
= $true )
| ( ( irel @ SV22 @ SV44 )
= $false )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(403,plain,
! [SV23: $i,SV65: $i] :
( ( ( ~ ! [SY161: $i] :
( ~ ( irel @ SV65 @ SY161 )
| ( p2 @ SY161 ) ) )
= $true )
| ( ( ! [SY162: $i] :
( ~ ( irel @ SV65 @ SY162 )
| ( p1 @ SY162 ) ) )
= $true )
| ( ( irel @ SV23 @ SV65 )
= $false )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(404,plain,
! [SV23: $i,SV45: $i] :
( ( ( ! [SY121: $i] :
( ~ ( irel @ SV45 @ SY121 )
| ( p2 @ SY121 ) ) )
= $false )
| ( ( ! [SY122: $i] :
( ~ ( irel @ SV45 @ SY122 )
| ( p1 @ SY122 ) ) )
= $true )
| ( ( irel @ SV23 @ SV45 )
= $false )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(405,plain,
! [SV3: $i,SV46: $i] :
( ( ( ! [SY123: $i] :
( ~ ( irel @ SV46 @ SY123 )
| ( p13 @ SY123 ) ) )
= $false )
| ( ( ! [SY124: $i] :
( ~ ( irel @ SV46 @ SY124 )
| ( p12 @ SY124 ) ) )
= $true )
| ( ( irel @ SV3 @ SV46 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(406,plain,
! [SV3: $i,SV26: $i] :
( ( ( ~ ( irel @ SV26 @ ( sK22_SY83 @ SV3 @ SV26 ) )
| ( p13 @ ( sK22_SY83 @ SV3 @ SV26 ) ) )
= $false )
| ( ( ! [SY84: $i] :
( ~ ( irel @ SV26 @ SY84 )
| ( p12 @ SY84 ) ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[366]) ).
thf(407,plain,
! [SV4: $i,SV47: $i] :
( ( ( ! [SY125: $i] :
( ~ ( irel @ SV47 @ SY125 )
| ( p5 @ SY125 ) ) )
= $false )
| ( ( ! [SY126: $i] :
( ~ ( irel @ SV47 @ SY126 )
| ( p4 @ SY126 ) ) )
= $true )
| ( ( irel @ SV4 @ SV47 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(408,plain,
! [SV4: $i,SV27: $i] :
( ( ( ~ ( irel @ SV27 @ ( sK23_SY85 @ SV4 @ SV27 ) )
| ( p5 @ ( sK23_SY85 @ SV4 @ SV27 ) ) )
= $false )
| ( ( ! [SY86: $i] :
( ~ ( irel @ SV27 @ SY86 )
| ( p4 @ SY86 ) ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[368]) ).
thf(409,plain,
! [SV5: $i,SV48: $i] :
( ( ( ! [SY127: $i] :
( ~ ( irel @ SV48 @ SY127 )
| ( p9 @ SY127 ) ) )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( irel @ SV48 @ SY128 )
| ( p8 @ SY128 ) ) )
= $true )
| ( ( irel @ SV5 @ SV48 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(410,plain,
! [SV5: $i,SV28: $i] :
( ( ( ~ ( irel @ SV28 @ ( sK24_SY87 @ SV5 @ SV28 ) )
| ( p9 @ ( sK24_SY87 @ SV5 @ SV28 ) ) )
= $false )
| ( ( ! [SY88: $i] :
( ~ ( irel @ SV28 @ SY88 )
| ( p8 @ SY88 ) ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[370]) ).
thf(411,plain,
! [SV6: $i,SV49: $i] :
( ( ( ! [SY129: $i] :
( ~ ( irel @ SV49 @ SY129 )
| ( p16 @ SY129 ) ) )
= $false )
| ( ( ! [SY130: $i] :
( ~ ( irel @ SV49 @ SY130 )
| ( p15 @ SY130 ) ) )
= $true )
| ( ( irel @ SV6 @ SV49 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(412,plain,
! [SV6: $i,SV29: $i] :
( ( ( ~ ( irel @ SV29 @ ( sK25_SY89 @ SV6 @ SV29 ) )
| ( p16 @ ( sK25_SY89 @ SV6 @ SV29 ) ) )
= $false )
| ( ( ! [SY90: $i] :
( ~ ( irel @ SV29 @ SY90 )
| ( p15 @ SY90 ) ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[372]) ).
thf(413,plain,
! [SV7: $i,SV50: $i] :
( ( ( ! [SY131: $i] :
( ~ ( irel @ SV50 @ SY131 )
| ( p12 @ SY131 ) ) )
= $false )
| ( ( ! [SY132: $i] :
( ~ ( irel @ SV50 @ SY132 )
| ( p11 @ SY132 ) ) )
= $true )
| ( ( irel @ SV7 @ SV50 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(414,plain,
! [SV7: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ ( sK26_SY91 @ SV7 @ SV30 ) )
| ( p12 @ ( sK26_SY91 @ SV7 @ SV30 ) ) )
= $false )
| ( ( ! [SY92: $i] :
( ~ ( irel @ SV30 @ SY92 )
| ( p11 @ SY92 ) ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[374]) ).
thf(415,plain,
! [SV8: $i,SV51: $i] :
( ( ( ! [SY133: $i] :
( ~ ( irel @ SV51 @ SY133 )
| ( p11 @ SY133 ) ) )
= $false )
| ( ( ! [SY134: $i] :
( ~ ( irel @ SV51 @ SY134 )
| ( p10 @ SY134 ) ) )
= $true )
| ( ( irel @ SV8 @ SV51 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(416,plain,
! [SV8: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ ( sK27_SY93 @ SV8 @ SV31 ) )
| ( p11 @ ( sK27_SY93 @ SV8 @ SV31 ) ) )
= $false )
| ( ( ! [SY94: $i] :
( ~ ( irel @ SV31 @ SY94 )
| ( p10 @ SY94 ) ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[376]) ).
thf(417,plain,
! [SV9: $i,SV52: $i] :
( ( ( ! [SY135: $i] :
( ~ ( irel @ SV52 @ SY135 )
| ( p6 @ SY135 ) ) )
= $false )
| ( ( ! [SY136: $i] :
( ~ ( irel @ SV52 @ SY136 )
| ( p5 @ SY136 ) ) )
= $true )
| ( ( irel @ SV9 @ SV52 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(418,plain,
! [SV9: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ ( sK28_SY95 @ SV9 @ SV32 ) )
| ( p6 @ ( sK28_SY95 @ SV9 @ SV32 ) ) )
= $false )
| ( ( ! [SY96: $i] :
( ~ ( irel @ SV32 @ SY96 )
| ( p5 @ SY96 ) ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[378]) ).
thf(419,plain,
! [SV10: $i,SV53: $i] :
( ( ( ! [SY137: $i] :
( ~ ( irel @ SV53 @ SY137 )
| ( p7 @ SY137 ) ) )
= $false )
| ( ( ! [SY138: $i] :
( ~ ( irel @ SV53 @ SY138 )
| ( p6 @ SY138 ) ) )
= $true )
| ( ( irel @ SV10 @ SV53 )
= $false )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(420,plain,
! [SV10: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ ( sK29_SY97 @ SV10 @ SV33 ) )
| ( p7 @ ( sK29_SY97 @ SV10 @ SV33 ) ) )
= $false )
| ( ( ! [SY98: $i] :
( ~ ( irel @ SV33 @ SY98 )
| ( p6 @ SY98 ) ) )
= $true )
| ( ( irel @ SV10 @ SV33 )
= $false )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[380]) ).
thf(421,plain,
! [SV11: $i,SV54: $i] :
( ( ( ! [SY139: $i] :
( ~ ( irel @ SV54 @ SY139 )
| ( p3 @ SY139 ) ) )
= $false )
| ( ( ! [SY140: $i] :
( ~ ( irel @ SV54 @ SY140 )
| ( p2 @ SY140 ) ) )
= $true )
| ( ( irel @ SV11 @ SV54 )
= $false )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(422,plain,
! [SV11: $i,SV34: $i] :
( ( ( ~ ( irel @ SV34 @ ( sK30_SY99 @ SV11 @ SV34 ) )
| ( p3 @ ( sK30_SY99 @ SV11 @ SV34 ) ) )
= $false )
| ( ( ! [SY100: $i] :
( ~ ( irel @ SV34 @ SY100 )
| ( p2 @ SY100 ) ) )
= $true )
| ( ( irel @ SV11 @ SV34 )
= $false )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[382]) ).
thf(423,plain,
! [SV12: $i,SV55: $i] :
( ( ( ! [SY141: $i] :
( ~ ( irel @ SV55 @ SY141 )
| ( p14 @ SY141 ) ) )
= $false )
| ( ( ! [SY142: $i] :
( ~ ( irel @ SV55 @ SY142 )
| ( p13 @ SY142 ) ) )
= $true )
| ( ( irel @ SV12 @ SV55 )
= $false )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(424,plain,
! [SV12: $i,SV35: $i] :
( ( ( ~ ( irel @ SV35 @ ( sK31_SY101 @ SV12 @ SV35 ) )
| ( p14 @ ( sK31_SY101 @ SV12 @ SV35 ) ) )
= $false )
| ( ( ! [SY102: $i] :
( ~ ( irel @ SV35 @ SY102 )
| ( p13 @ SY102 ) ) )
= $true )
| ( ( irel @ SV12 @ SV35 )
= $false )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[384]) ).
thf(425,plain,
! [SV13: $i,SV56: $i] :
( ( ( ! [SY143: $i] :
( ~ ( irel @ SV56 @ SY143 )
| ( p17 @ SY143 ) ) )
= $false )
| ( ( ! [SY144: $i] :
( ~ ( irel @ SV56 @ SY144 )
| ( p16 @ SY144 ) ) )
= $true )
| ( ( irel @ SV13 @ SV56 )
= $false )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(426,plain,
! [SV13: $i,SV36: $i] :
( ( ( ~ ( irel @ SV36 @ ( sK32_SY103 @ SV13 @ SV36 ) )
| ( p17 @ ( sK32_SY103 @ SV13 @ SV36 ) ) )
= $false )
| ( ( ! [SY104: $i] :
( ~ ( irel @ SV36 @ SY104 )
| ( p16 @ SY104 ) ) )
= $true )
| ( ( irel @ SV13 @ SV36 )
= $false )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[386]) ).
thf(427,plain,
! [SV14: $i,SV57: $i] :
( ( ( ! [SY145: $i] :
( ~ ( irel @ SV57 @ SY145 )
| ( p15 @ SY145 ) ) )
= $false )
| ( ( ! [SY146: $i] :
( ~ ( irel @ SV57 @ SY146 )
| ( p14 @ SY146 ) ) )
= $true )
| ( ( irel @ SV14 @ SV57 )
= $false )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(428,plain,
! [SV14: $i,SV37: $i] :
( ( ( ~ ( irel @ SV37 @ ( sK33_SY105 @ SV14 @ SV37 ) )
| ( p15 @ ( sK33_SY105 @ SV14 @ SV37 ) ) )
= $false )
| ( ( ! [SY106: $i] :
( ~ ( irel @ SV37 @ SY106 )
| ( p14 @ SY106 ) ) )
= $true )
| ( ( irel @ SV14 @ SV37 )
= $false )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[388]) ).
thf(429,plain,
! [SV15: $i,SV58: $i] :
( ( ( ! [SY147: $i] :
( ~ ( irel @ SV58 @ SY147 )
| ( p18 @ SY147 ) ) )
= $false )
| ( ( ! [SY148: $i] :
( ~ ( irel @ SV58 @ SY148 )
| ( p17 @ SY148 ) ) )
= $true )
| ( ( irel @ SV15 @ SV58 )
= $false )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(430,plain,
! [SV15: $i,SV38: $i] :
( ( ( ~ ( irel @ SV38 @ ( sK34_SY107 @ SV15 @ SV38 ) )
| ( p18 @ ( sK34_SY107 @ SV15 @ SV38 ) ) )
= $false )
| ( ( ! [SY108: $i] :
( ~ ( irel @ SV38 @ SY108 )
| ( p17 @ SY108 ) ) )
= $true )
| ( ( irel @ SV15 @ SV38 )
= $false )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[390]) ).
thf(431,plain,
! [SV16: $i,SV59: $i] :
( ( ( ! [SY149: $i] :
( ~ ( irel @ SV59 @ SY149 )
| ( p4 @ SY149 ) ) )
= $false )
| ( ( ! [SY150: $i] :
( ~ ( irel @ SV59 @ SY150 )
| ( p3 @ SY150 ) ) )
= $true )
| ( ( irel @ SV16 @ SV59 )
= $false )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(432,plain,
! [SV16: $i,SV39: $i] :
( ( ( ~ ( irel @ SV39 @ ( sK35_SY109 @ SV16 @ SV39 ) )
| ( p4 @ ( sK35_SY109 @ SV16 @ SV39 ) ) )
= $false )
| ( ( ! [SY110: $i] :
( ~ ( irel @ SV39 @ SY110 )
| ( p3 @ SY110 ) ) )
= $true )
| ( ( irel @ SV16 @ SV39 )
= $false )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[392]) ).
thf(433,plain,
! [SV17: $i,SV60: $i] :
( ( ( ! [SY151: $i] :
( ~ ( irel @ SV60 @ SY151 )
| ( p1 @ SY151 ) ) )
= $false )
| ( ( ! [SY152: $i] :
( ~ ( irel @ SV60 @ SY152 )
| ( p0 @ SY152 ) ) )
= $true )
| ( ( irel @ SV17 @ SV60 )
= $false )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(434,plain,
! [SV17: $i,SV40: $i] :
( ( ( ~ ( irel @ SV40 @ ( sK36_SY111 @ SV17 @ SV40 ) )
| ( p1 @ ( sK36_SY111 @ SV17 @ SV40 ) ) )
= $false )
| ( ( ! [SY112: $i] :
( ~ ( irel @ SV40 @ SY112 )
| ( p0 @ SY112 ) ) )
= $true )
| ( ( irel @ SV17 @ SV40 )
= $false )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[394]) ).
thf(435,plain,
! [SV18: $i,SV61: $i] :
( ( ( ! [SY153: $i] :
( ~ ( irel @ SV61 @ SY153 )
| ( p8 @ SY153 ) ) )
= $false )
| ( ( ! [SY154: $i] :
( ~ ( irel @ SV61 @ SY154 )
| ( p7 @ SY154 ) ) )
= $true )
| ( ( irel @ SV18 @ SV61 )
= $false )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(436,plain,
! [SV18: $i,SV41: $i] :
( ( ( ~ ( irel @ SV41 @ ( sK37_SY113 @ SV18 @ SV41 ) )
| ( p8 @ ( sK37_SY113 @ SV18 @ SV41 ) ) )
= $false )
| ( ( ! [SY114: $i] :
( ~ ( irel @ SV41 @ SY114 )
| ( p7 @ SY114 ) ) )
= $true )
| ( ( irel @ SV18 @ SV41 )
= $false )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[396]) ).
thf(437,plain,
! [SV20: $i,SV62: $i] :
( ( ( ! [SY155: $i] :
( ~ ( irel @ SV62 @ SY155 )
| ( p19 @ SY155 ) ) )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( irel @ SV62 @ SY156 )
| ( p18 @ SY156 ) ) )
= $true )
| ( ( irel @ SV20 @ SV62 )
= $false )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(438,plain,
! [SV20: $i,SV42: $i] :
( ( ( ~ ( irel @ SV42 @ ( sK38_SY115 @ SV20 @ SV42 ) )
| ( p19 @ ( sK38_SY115 @ SV20 @ SV42 ) ) )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( irel @ SV42 @ SY116 )
| ( p18 @ SY116 ) ) )
= $true )
| ( ( irel @ SV20 @ SV42 )
= $false )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[398]) ).
thf(439,plain,
! [SV21: $i,SV63: $i] :
( ( ( ! [SY157: $i] :
( ~ ( irel @ SV63 @ SY157 )
| ( p10 @ SY157 ) ) )
= $false )
| ( ( ! [SY158: $i] :
( ~ ( irel @ SV63 @ SY158 )
| ( p9 @ SY158 ) ) )
= $true )
| ( ( irel @ SV21 @ SV63 )
= $false )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(440,plain,
! [SV21: $i,SV43: $i] :
( ( ( ~ ( irel @ SV43 @ ( sK39_SY117 @ SV21 @ SV43 ) )
| ( p10 @ ( sK39_SY117 @ SV21 @ SV43 ) ) )
= $false )
| ( ( ! [SY118: $i] :
( ~ ( irel @ SV43 @ SY118 )
| ( p9 @ SY118 ) ) )
= $true )
| ( ( irel @ SV21 @ SV43 )
= $false )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[400]) ).
thf(441,plain,
! [SV22: $i,SV64: $i] :
( ( ( ! [SY159: $i] :
( ~ ( irel @ SV64 @ SY159 )
| ( p20 @ SY159 ) ) )
= $false )
| ( ( ! [SY160: $i] :
( ~ ( irel @ SV64 @ SY160 )
| ( p19 @ SY160 ) ) )
= $true )
| ( ( irel @ SV22 @ SV64 )
= $false )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(442,plain,
! [SV22: $i,SV44: $i] :
( ( ( ~ ( irel @ SV44 @ ( sK40_SY119 @ SV22 @ SV44 ) )
| ( p20 @ ( sK40_SY119 @ SV22 @ SV44 ) ) )
= $false )
| ( ( ! [SY120: $i] :
( ~ ( irel @ SV44 @ SY120 )
| ( p19 @ SY120 ) ) )
= $true )
| ( ( irel @ SV22 @ SV44 )
= $false )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[402]) ).
thf(443,plain,
! [SV23: $i,SV65: $i] :
( ( ( ! [SY161: $i] :
( ~ ( irel @ SV65 @ SY161 )
| ( p2 @ SY161 ) ) )
= $false )
| ( ( ! [SY162: $i] :
( ~ ( irel @ SV65 @ SY162 )
| ( p1 @ SY162 ) ) )
= $true )
| ( ( irel @ SV23 @ SV65 )
= $false )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(444,plain,
! [SV23: $i,SV45: $i] :
( ( ( ~ ( irel @ SV45 @ ( sK41_SY121 @ SV23 @ SV45 ) )
| ( p2 @ ( sK41_SY121 @ SV23 @ SV45 ) ) )
= $false )
| ( ( ! [SY122: $i] :
( ~ ( irel @ SV45 @ SY122 )
| ( p1 @ SY122 ) ) )
= $true )
| ( ( irel @ SV23 @ SV45 )
= $false )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[404]) ).
thf(445,plain,
! [SV3: $i,SV46: $i] :
( ( ( ~ ( irel @ SV46 @ ( sK42_SY123 @ SV3 @ SV46 ) )
| ( p13 @ ( sK42_SY123 @ SV3 @ SV46 ) ) )
= $false )
| ( ( ! [SY124: $i] :
( ~ ( irel @ SV46 @ SY124 )
| ( p12 @ SY124 ) ) )
= $true )
| ( ( irel @ SV3 @ SV46 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[405]) ).
thf(446,plain,
! [SV3: $i,SV26: $i] :
( ( ( ~ ( irel @ SV26 @ ( sK22_SY83 @ SV3 @ SV26 ) ) )
= $false )
| ( ( ! [SY84: $i] :
( ~ ( irel @ SV26 @ SY84 )
| ( p12 @ SY84 ) ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(447,plain,
! [SV26: $i,SV3: $i] :
( ( ( p13 @ ( sK22_SY83 @ SV3 @ SV26 ) )
= $false )
| ( ( ! [SY84: $i] :
( ~ ( irel @ SV26 @ SY84 )
| ( p12 @ SY84 ) ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(448,plain,
! [SV4: $i,SV47: $i] :
( ( ( ~ ( irel @ SV47 @ ( sK43_SY125 @ SV4 @ SV47 ) )
| ( p5 @ ( sK43_SY125 @ SV4 @ SV47 ) ) )
= $false )
| ( ( ! [SY126: $i] :
( ~ ( irel @ SV47 @ SY126 )
| ( p4 @ SY126 ) ) )
= $true )
| ( ( irel @ SV4 @ SV47 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[407]) ).
thf(449,plain,
! [SV4: $i,SV27: $i] :
( ( ( ~ ( irel @ SV27 @ ( sK23_SY85 @ SV4 @ SV27 ) ) )
= $false )
| ( ( ! [SY86: $i] :
( ~ ( irel @ SV27 @ SY86 )
| ( p4 @ SY86 ) ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(450,plain,
! [SV27: $i,SV4: $i] :
( ( ( p5 @ ( sK23_SY85 @ SV4 @ SV27 ) )
= $false )
| ( ( ! [SY86: $i] :
( ~ ( irel @ SV27 @ SY86 )
| ( p4 @ SY86 ) ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(451,plain,
! [SV5: $i,SV48: $i] :
( ( ( ~ ( irel @ SV48 @ ( sK44_SY127 @ SV5 @ SV48 ) )
| ( p9 @ ( sK44_SY127 @ SV5 @ SV48 ) ) )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( irel @ SV48 @ SY128 )
| ( p8 @ SY128 ) ) )
= $true )
| ( ( irel @ SV5 @ SV48 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[409]) ).
thf(452,plain,
! [SV5: $i,SV28: $i] :
( ( ( ~ ( irel @ SV28 @ ( sK24_SY87 @ SV5 @ SV28 ) ) )
= $false )
| ( ( ! [SY88: $i] :
( ~ ( irel @ SV28 @ SY88 )
| ( p8 @ SY88 ) ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(453,plain,
! [SV28: $i,SV5: $i] :
( ( ( p9 @ ( sK24_SY87 @ SV5 @ SV28 ) )
= $false )
| ( ( ! [SY88: $i] :
( ~ ( irel @ SV28 @ SY88 )
| ( p8 @ SY88 ) ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(454,plain,
! [SV6: $i,SV49: $i] :
( ( ( ~ ( irel @ SV49 @ ( sK45_SY129 @ SV6 @ SV49 ) )
| ( p16 @ ( sK45_SY129 @ SV6 @ SV49 ) ) )
= $false )
| ( ( ! [SY130: $i] :
( ~ ( irel @ SV49 @ SY130 )
| ( p15 @ SY130 ) ) )
= $true )
| ( ( irel @ SV6 @ SV49 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[411]) ).
thf(455,plain,
! [SV6: $i,SV29: $i] :
( ( ( ~ ( irel @ SV29 @ ( sK25_SY89 @ SV6 @ SV29 ) ) )
= $false )
| ( ( ! [SY90: $i] :
( ~ ( irel @ SV29 @ SY90 )
| ( p15 @ SY90 ) ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(456,plain,
! [SV29: $i,SV6: $i] :
( ( ( p16 @ ( sK25_SY89 @ SV6 @ SV29 ) )
= $false )
| ( ( ! [SY90: $i] :
( ~ ( irel @ SV29 @ SY90 )
| ( p15 @ SY90 ) ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(457,plain,
! [SV7: $i,SV50: $i] :
( ( ( ~ ( irel @ SV50 @ ( sK46_SY131 @ SV7 @ SV50 ) )
| ( p12 @ ( sK46_SY131 @ SV7 @ SV50 ) ) )
= $false )
| ( ( ! [SY132: $i] :
( ~ ( irel @ SV50 @ SY132 )
| ( p11 @ SY132 ) ) )
= $true )
| ( ( irel @ SV7 @ SV50 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[413]) ).
thf(458,plain,
! [SV7: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ ( sK26_SY91 @ SV7 @ SV30 ) ) )
= $false )
| ( ( ! [SY92: $i] :
( ~ ( irel @ SV30 @ SY92 )
| ( p11 @ SY92 ) ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(459,plain,
! [SV30: $i,SV7: $i] :
( ( ( p12 @ ( sK26_SY91 @ SV7 @ SV30 ) )
= $false )
| ( ( ! [SY92: $i] :
( ~ ( irel @ SV30 @ SY92 )
| ( p11 @ SY92 ) ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(460,plain,
! [SV8: $i,SV51: $i] :
( ( ( ~ ( irel @ SV51 @ ( sK47_SY133 @ SV8 @ SV51 ) )
| ( p11 @ ( sK47_SY133 @ SV8 @ SV51 ) ) )
= $false )
| ( ( ! [SY134: $i] :
( ~ ( irel @ SV51 @ SY134 )
| ( p10 @ SY134 ) ) )
= $true )
| ( ( irel @ SV8 @ SV51 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[415]) ).
thf(461,plain,
! [SV8: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ ( sK27_SY93 @ SV8 @ SV31 ) ) )
= $false )
| ( ( ! [SY94: $i] :
( ~ ( irel @ SV31 @ SY94 )
| ( p10 @ SY94 ) ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(462,plain,
! [SV31: $i,SV8: $i] :
( ( ( p11 @ ( sK27_SY93 @ SV8 @ SV31 ) )
= $false )
| ( ( ! [SY94: $i] :
( ~ ( irel @ SV31 @ SY94 )
| ( p10 @ SY94 ) ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(463,plain,
! [SV9: $i,SV52: $i] :
( ( ( ~ ( irel @ SV52 @ ( sK48_SY135 @ SV9 @ SV52 ) )
| ( p6 @ ( sK48_SY135 @ SV9 @ SV52 ) ) )
= $false )
| ( ( ! [SY136: $i] :
( ~ ( irel @ SV52 @ SY136 )
| ( p5 @ SY136 ) ) )
= $true )
| ( ( irel @ SV9 @ SV52 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[417]) ).
thf(464,plain,
! [SV9: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ ( sK28_SY95 @ SV9 @ SV32 ) ) )
= $false )
| ( ( ! [SY96: $i] :
( ~ ( irel @ SV32 @ SY96 )
| ( p5 @ SY96 ) ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(465,plain,
! [SV32: $i,SV9: $i] :
( ( ( p6 @ ( sK28_SY95 @ SV9 @ SV32 ) )
= $false )
| ( ( ! [SY96: $i] :
( ~ ( irel @ SV32 @ SY96 )
| ( p5 @ SY96 ) ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(466,plain,
! [SV10: $i,SV53: $i] :
( ( ( ~ ( irel @ SV53 @ ( sK49_SY137 @ SV10 @ SV53 ) )
| ( p7 @ ( sK49_SY137 @ SV10 @ SV53 ) ) )
= $false )
| ( ( ! [SY138: $i] :
( ~ ( irel @ SV53 @ SY138 )
| ( p6 @ SY138 ) ) )
= $true )
| ( ( irel @ SV10 @ SV53 )
= $false )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[419]) ).
thf(467,plain,
! [SV10: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ ( sK29_SY97 @ SV10 @ SV33 ) ) )
= $false )
| ( ( ! [SY98: $i] :
( ~ ( irel @ SV33 @ SY98 )
| ( p6 @ SY98 ) ) )
= $true )
| ( ( irel @ SV10 @ SV33 )
= $false )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(468,plain,
! [SV33: $i,SV10: $i] :
( ( ( p7 @ ( sK29_SY97 @ SV10 @ SV33 ) )
= $false )
| ( ( ! [SY98: $i] :
( ~ ( irel @ SV33 @ SY98 )
| ( p6 @ SY98 ) ) )
= $true )
| ( ( irel @ SV10 @ SV33 )
= $false )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(469,plain,
! [SV11: $i,SV54: $i] :
( ( ( ~ ( irel @ SV54 @ ( sK50_SY139 @ SV11 @ SV54 ) )
| ( p3 @ ( sK50_SY139 @ SV11 @ SV54 ) ) )
= $false )
| ( ( ! [SY140: $i] :
( ~ ( irel @ SV54 @ SY140 )
| ( p2 @ SY140 ) ) )
= $true )
| ( ( irel @ SV11 @ SV54 )
= $false )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[421]) ).
thf(470,plain,
! [SV11: $i,SV34: $i] :
( ( ( ~ ( irel @ SV34 @ ( sK30_SY99 @ SV11 @ SV34 ) ) )
= $false )
| ( ( ! [SY100: $i] :
( ~ ( irel @ SV34 @ SY100 )
| ( p2 @ SY100 ) ) )
= $true )
| ( ( irel @ SV11 @ SV34 )
= $false )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(471,plain,
! [SV34: $i,SV11: $i] :
( ( ( p3 @ ( sK30_SY99 @ SV11 @ SV34 ) )
= $false )
| ( ( ! [SY100: $i] :
( ~ ( irel @ SV34 @ SY100 )
| ( p2 @ SY100 ) ) )
= $true )
| ( ( irel @ SV11 @ SV34 )
= $false )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(472,plain,
! [SV12: $i,SV55: $i] :
( ( ( ~ ( irel @ SV55 @ ( sK51_SY141 @ SV12 @ SV55 ) )
| ( p14 @ ( sK51_SY141 @ SV12 @ SV55 ) ) )
= $false )
| ( ( ! [SY142: $i] :
( ~ ( irel @ SV55 @ SY142 )
| ( p13 @ SY142 ) ) )
= $true )
| ( ( irel @ SV12 @ SV55 )
= $false )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[423]) ).
thf(473,plain,
! [SV12: $i,SV35: $i] :
( ( ( ~ ( irel @ SV35 @ ( sK31_SY101 @ SV12 @ SV35 ) ) )
= $false )
| ( ( ! [SY102: $i] :
( ~ ( irel @ SV35 @ SY102 )
| ( p13 @ SY102 ) ) )
= $true )
| ( ( irel @ SV12 @ SV35 )
= $false )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[424]) ).
thf(474,plain,
! [SV35: $i,SV12: $i] :
( ( ( p14 @ ( sK31_SY101 @ SV12 @ SV35 ) )
= $false )
| ( ( ! [SY102: $i] :
( ~ ( irel @ SV35 @ SY102 )
| ( p13 @ SY102 ) ) )
= $true )
| ( ( irel @ SV12 @ SV35 )
= $false )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[424]) ).
thf(475,plain,
! [SV13: $i,SV56: $i] :
( ( ( ~ ( irel @ SV56 @ ( sK52_SY143 @ SV13 @ SV56 ) )
| ( p17 @ ( sK52_SY143 @ SV13 @ SV56 ) ) )
= $false )
| ( ( ! [SY144: $i] :
( ~ ( irel @ SV56 @ SY144 )
| ( p16 @ SY144 ) ) )
= $true )
| ( ( irel @ SV13 @ SV56 )
= $false )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[425]) ).
thf(476,plain,
! [SV13: $i,SV36: $i] :
( ( ( ~ ( irel @ SV36 @ ( sK32_SY103 @ SV13 @ SV36 ) ) )
= $false )
| ( ( ! [SY104: $i] :
( ~ ( irel @ SV36 @ SY104 )
| ( p16 @ SY104 ) ) )
= $true )
| ( ( irel @ SV13 @ SV36 )
= $false )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[426]) ).
thf(477,plain,
! [SV36: $i,SV13: $i] :
( ( ( p17 @ ( sK32_SY103 @ SV13 @ SV36 ) )
= $false )
| ( ( ! [SY104: $i] :
( ~ ( irel @ SV36 @ SY104 )
| ( p16 @ SY104 ) ) )
= $true )
| ( ( irel @ SV13 @ SV36 )
= $false )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[426]) ).
thf(478,plain,
! [SV14: $i,SV57: $i] :
( ( ( ~ ( irel @ SV57 @ ( sK53_SY145 @ SV14 @ SV57 ) )
| ( p15 @ ( sK53_SY145 @ SV14 @ SV57 ) ) )
= $false )
| ( ( ! [SY146: $i] :
( ~ ( irel @ SV57 @ SY146 )
| ( p14 @ SY146 ) ) )
= $true )
| ( ( irel @ SV14 @ SV57 )
= $false )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[427]) ).
thf(479,plain,
! [SV14: $i,SV37: $i] :
( ( ( ~ ( irel @ SV37 @ ( sK33_SY105 @ SV14 @ SV37 ) ) )
= $false )
| ( ( ! [SY106: $i] :
( ~ ( irel @ SV37 @ SY106 )
| ( p14 @ SY106 ) ) )
= $true )
| ( ( irel @ SV14 @ SV37 )
= $false )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(480,plain,
! [SV37: $i,SV14: $i] :
( ( ( p15 @ ( sK33_SY105 @ SV14 @ SV37 ) )
= $false )
| ( ( ! [SY106: $i] :
( ~ ( irel @ SV37 @ SY106 )
| ( p14 @ SY106 ) ) )
= $true )
| ( ( irel @ SV14 @ SV37 )
= $false )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(481,plain,
! [SV15: $i,SV58: $i] :
( ( ( ~ ( irel @ SV58 @ ( sK54_SY147 @ SV15 @ SV58 ) )
| ( p18 @ ( sK54_SY147 @ SV15 @ SV58 ) ) )
= $false )
| ( ( ! [SY148: $i] :
( ~ ( irel @ SV58 @ SY148 )
| ( p17 @ SY148 ) ) )
= $true )
| ( ( irel @ SV15 @ SV58 )
= $false )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[429]) ).
thf(482,plain,
! [SV15: $i,SV38: $i] :
( ( ( ~ ( irel @ SV38 @ ( sK34_SY107 @ SV15 @ SV38 ) ) )
= $false )
| ( ( ! [SY108: $i] :
( ~ ( irel @ SV38 @ SY108 )
| ( p17 @ SY108 ) ) )
= $true )
| ( ( irel @ SV15 @ SV38 )
= $false )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(483,plain,
! [SV38: $i,SV15: $i] :
( ( ( p18 @ ( sK34_SY107 @ SV15 @ SV38 ) )
= $false )
| ( ( ! [SY108: $i] :
( ~ ( irel @ SV38 @ SY108 )
| ( p17 @ SY108 ) ) )
= $true )
| ( ( irel @ SV15 @ SV38 )
= $false )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(484,plain,
! [SV16: $i,SV59: $i] :
( ( ( ~ ( irel @ SV59 @ ( sK55_SY149 @ SV16 @ SV59 ) )
| ( p4 @ ( sK55_SY149 @ SV16 @ SV59 ) ) )
= $false )
| ( ( ! [SY150: $i] :
( ~ ( irel @ SV59 @ SY150 )
| ( p3 @ SY150 ) ) )
= $true )
| ( ( irel @ SV16 @ SV59 )
= $false )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[431]) ).
thf(485,plain,
! [SV16: $i,SV39: $i] :
( ( ( ~ ( irel @ SV39 @ ( sK35_SY109 @ SV16 @ SV39 ) ) )
= $false )
| ( ( ! [SY110: $i] :
( ~ ( irel @ SV39 @ SY110 )
| ( p3 @ SY110 ) ) )
= $true )
| ( ( irel @ SV16 @ SV39 )
= $false )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(486,plain,
! [SV39: $i,SV16: $i] :
( ( ( p4 @ ( sK35_SY109 @ SV16 @ SV39 ) )
= $false )
| ( ( ! [SY110: $i] :
( ~ ( irel @ SV39 @ SY110 )
| ( p3 @ SY110 ) ) )
= $true )
| ( ( irel @ SV16 @ SV39 )
= $false )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(487,plain,
! [SV17: $i,SV60: $i] :
( ( ( ~ ( irel @ SV60 @ ( sK56_SY151 @ SV17 @ SV60 ) )
| ( p1 @ ( sK56_SY151 @ SV17 @ SV60 ) ) )
= $false )
| ( ( ! [SY152: $i] :
( ~ ( irel @ SV60 @ SY152 )
| ( p0 @ SY152 ) ) )
= $true )
| ( ( irel @ SV17 @ SV60 )
= $false )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[433]) ).
thf(488,plain,
! [SV17: $i,SV40: $i] :
( ( ( ~ ( irel @ SV40 @ ( sK36_SY111 @ SV17 @ SV40 ) ) )
= $false )
| ( ( ! [SY112: $i] :
( ~ ( irel @ SV40 @ SY112 )
| ( p0 @ SY112 ) ) )
= $true )
| ( ( irel @ SV17 @ SV40 )
= $false )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(489,plain,
! [SV40: $i,SV17: $i] :
( ( ( p1 @ ( sK36_SY111 @ SV17 @ SV40 ) )
= $false )
| ( ( ! [SY112: $i] :
( ~ ( irel @ SV40 @ SY112 )
| ( p0 @ SY112 ) ) )
= $true )
| ( ( irel @ SV17 @ SV40 )
= $false )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(490,plain,
! [SV18: $i,SV61: $i] :
( ( ( ~ ( irel @ SV61 @ ( sK57_SY153 @ SV18 @ SV61 ) )
| ( p8 @ ( sK57_SY153 @ SV18 @ SV61 ) ) )
= $false )
| ( ( ! [SY154: $i] :
( ~ ( irel @ SV61 @ SY154 )
| ( p7 @ SY154 ) ) )
= $true )
| ( ( irel @ SV18 @ SV61 )
= $false )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[435]) ).
thf(491,plain,
! [SV18: $i,SV41: $i] :
( ( ( ~ ( irel @ SV41 @ ( sK37_SY113 @ SV18 @ SV41 ) ) )
= $false )
| ( ( ! [SY114: $i] :
( ~ ( irel @ SV41 @ SY114 )
| ( p7 @ SY114 ) ) )
= $true )
| ( ( irel @ SV18 @ SV41 )
= $false )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[436]) ).
thf(492,plain,
! [SV41: $i,SV18: $i] :
( ( ( p8 @ ( sK37_SY113 @ SV18 @ SV41 ) )
= $false )
| ( ( ! [SY114: $i] :
( ~ ( irel @ SV41 @ SY114 )
| ( p7 @ SY114 ) ) )
= $true )
| ( ( irel @ SV18 @ SV41 )
= $false )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[436]) ).
thf(493,plain,
! [SV20: $i,SV62: $i] :
( ( ( ~ ( irel @ SV62 @ ( sK58_SY155 @ SV20 @ SV62 ) )
| ( p19 @ ( sK58_SY155 @ SV20 @ SV62 ) ) )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( irel @ SV62 @ SY156 )
| ( p18 @ SY156 ) ) )
= $true )
| ( ( irel @ SV20 @ SV62 )
= $false )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[437]) ).
thf(494,plain,
! [SV20: $i,SV42: $i] :
( ( ( ~ ( irel @ SV42 @ ( sK38_SY115 @ SV20 @ SV42 ) ) )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( irel @ SV42 @ SY116 )
| ( p18 @ SY116 ) ) )
= $true )
| ( ( irel @ SV20 @ SV42 )
= $false )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(495,plain,
! [SV42: $i,SV20: $i] :
( ( ( p19 @ ( sK38_SY115 @ SV20 @ SV42 ) )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( irel @ SV42 @ SY116 )
| ( p18 @ SY116 ) ) )
= $true )
| ( ( irel @ SV20 @ SV42 )
= $false )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(496,plain,
! [SV21: $i,SV63: $i] :
( ( ( ~ ( irel @ SV63 @ ( sK59_SY157 @ SV21 @ SV63 ) )
| ( p10 @ ( sK59_SY157 @ SV21 @ SV63 ) ) )
= $false )
| ( ( ! [SY158: $i] :
( ~ ( irel @ SV63 @ SY158 )
| ( p9 @ SY158 ) ) )
= $true )
| ( ( irel @ SV21 @ SV63 )
= $false )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[439]) ).
thf(497,plain,
! [SV21: $i,SV43: $i] :
( ( ( ~ ( irel @ SV43 @ ( sK39_SY117 @ SV21 @ SV43 ) ) )
= $false )
| ( ( ! [SY118: $i] :
( ~ ( irel @ SV43 @ SY118 )
| ( p9 @ SY118 ) ) )
= $true )
| ( ( irel @ SV21 @ SV43 )
= $false )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(498,plain,
! [SV43: $i,SV21: $i] :
( ( ( p10 @ ( sK39_SY117 @ SV21 @ SV43 ) )
= $false )
| ( ( ! [SY118: $i] :
( ~ ( irel @ SV43 @ SY118 )
| ( p9 @ SY118 ) ) )
= $true )
| ( ( irel @ SV21 @ SV43 )
= $false )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(499,plain,
! [SV22: $i,SV64: $i] :
( ( ( ~ ( irel @ SV64 @ ( sK60_SY159 @ SV22 @ SV64 ) )
| ( p20 @ ( sK60_SY159 @ SV22 @ SV64 ) ) )
= $false )
| ( ( ! [SY160: $i] :
( ~ ( irel @ SV64 @ SY160 )
| ( p19 @ SY160 ) ) )
= $true )
| ( ( irel @ SV22 @ SV64 )
= $false )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[441]) ).
thf(500,plain,
! [SV22: $i,SV44: $i] :
( ( ( ~ ( irel @ SV44 @ ( sK40_SY119 @ SV22 @ SV44 ) ) )
= $false )
| ( ( ! [SY120: $i] :
( ~ ( irel @ SV44 @ SY120 )
| ( p19 @ SY120 ) ) )
= $true )
| ( ( irel @ SV22 @ SV44 )
= $false )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(501,plain,
! [SV44: $i,SV22: $i] :
( ( ( p20 @ ( sK40_SY119 @ SV22 @ SV44 ) )
= $false )
| ( ( ! [SY120: $i] :
( ~ ( irel @ SV44 @ SY120 )
| ( p19 @ SY120 ) ) )
= $true )
| ( ( irel @ SV22 @ SV44 )
= $false )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(502,plain,
! [SV23: $i,SV65: $i] :
( ( ( ~ ( irel @ SV65 @ ( sK61_SY161 @ SV23 @ SV65 ) )
| ( p2 @ ( sK61_SY161 @ SV23 @ SV65 ) ) )
= $false )
| ( ( ! [SY162: $i] :
( ~ ( irel @ SV65 @ SY162 )
| ( p1 @ SY162 ) ) )
= $true )
| ( ( irel @ SV23 @ SV65 )
= $false )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[443]) ).
thf(503,plain,
! [SV23: $i,SV45: $i] :
( ( ( ~ ( irel @ SV45 @ ( sK41_SY121 @ SV23 @ SV45 ) ) )
= $false )
| ( ( ! [SY122: $i] :
( ~ ( irel @ SV45 @ SY122 )
| ( p1 @ SY122 ) ) )
= $true )
| ( ( irel @ SV23 @ SV45 )
= $false )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(504,plain,
! [SV45: $i,SV23: $i] :
( ( ( p2 @ ( sK41_SY121 @ SV23 @ SV45 ) )
= $false )
| ( ( ! [SY122: $i] :
( ~ ( irel @ SV45 @ SY122 )
| ( p1 @ SY122 ) ) )
= $true )
| ( ( irel @ SV23 @ SV45 )
= $false )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(505,plain,
! [SV3: $i,SV46: $i] :
( ( ( ~ ( irel @ SV46 @ ( sK42_SY123 @ SV3 @ SV46 ) ) )
= $false )
| ( ( ! [SY124: $i] :
( ~ ( irel @ SV46 @ SY124 )
| ( p12 @ SY124 ) ) )
= $true )
| ( ( irel @ SV3 @ SV46 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[445]) ).
thf(506,plain,
! [SV46: $i,SV3: $i] :
( ( ( p13 @ ( sK42_SY123 @ SV3 @ SV46 ) )
= $false )
| ( ( ! [SY124: $i] :
( ~ ( irel @ SV46 @ SY124 )
| ( p12 @ SY124 ) ) )
= $true )
| ( ( irel @ SV3 @ SV46 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[445]) ).
thf(507,plain,
! [SV3: $i,SV26: $i] :
( ( ( irel @ SV26 @ ( sK22_SY83 @ SV3 @ SV26 ) )
= $true )
| ( ( ! [SY84: $i] :
( ~ ( irel @ SV26 @ SY84 )
| ( p12 @ SY84 ) ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(508,plain,
! [SV3: $i,SV66: $i,SV26: $i] :
( ( ( ~ ( irel @ SV26 @ SV66 )
| ( p12 @ SV66 ) )
= $true )
| ( ( p13 @ ( sK22_SY83 @ SV3 @ SV26 ) )
= $false )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(509,plain,
! [SV4: $i,SV47: $i] :
( ( ( ~ ( irel @ SV47 @ ( sK43_SY125 @ SV4 @ SV47 ) ) )
= $false )
| ( ( ! [SY126: $i] :
( ~ ( irel @ SV47 @ SY126 )
| ( p4 @ SY126 ) ) )
= $true )
| ( ( irel @ SV4 @ SV47 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(510,plain,
! [SV47: $i,SV4: $i] :
( ( ( p5 @ ( sK43_SY125 @ SV4 @ SV47 ) )
= $false )
| ( ( ! [SY126: $i] :
( ~ ( irel @ SV47 @ SY126 )
| ( p4 @ SY126 ) ) )
= $true )
| ( ( irel @ SV4 @ SV47 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(511,plain,
! [SV4: $i,SV27: $i] :
( ( ( irel @ SV27 @ ( sK23_SY85 @ SV4 @ SV27 ) )
= $true )
| ( ( ! [SY86: $i] :
( ~ ( irel @ SV27 @ SY86 )
| ( p4 @ SY86 ) ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(512,plain,
! [SV4: $i,SV67: $i,SV27: $i] :
( ( ( ~ ( irel @ SV27 @ SV67 )
| ( p4 @ SV67 ) )
= $true )
| ( ( p5 @ ( sK23_SY85 @ SV4 @ SV27 ) )
= $false )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(513,plain,
! [SV5: $i,SV48: $i] :
( ( ( ~ ( irel @ SV48 @ ( sK44_SY127 @ SV5 @ SV48 ) ) )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( irel @ SV48 @ SY128 )
| ( p8 @ SY128 ) ) )
= $true )
| ( ( irel @ SV5 @ SV48 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(514,plain,
! [SV48: $i,SV5: $i] :
( ( ( p9 @ ( sK44_SY127 @ SV5 @ SV48 ) )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( irel @ SV48 @ SY128 )
| ( p8 @ SY128 ) ) )
= $true )
| ( ( irel @ SV5 @ SV48 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(515,plain,
! [SV5: $i,SV28: $i] :
( ( ( irel @ SV28 @ ( sK24_SY87 @ SV5 @ SV28 ) )
= $true )
| ( ( ! [SY88: $i] :
( ~ ( irel @ SV28 @ SY88 )
| ( p8 @ SY88 ) ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(516,plain,
! [SV5: $i,SV68: $i,SV28: $i] :
( ( ( ~ ( irel @ SV28 @ SV68 )
| ( p8 @ SV68 ) )
= $true )
| ( ( p9 @ ( sK24_SY87 @ SV5 @ SV28 ) )
= $false )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(517,plain,
! [SV6: $i,SV49: $i] :
( ( ( ~ ( irel @ SV49 @ ( sK45_SY129 @ SV6 @ SV49 ) ) )
= $false )
| ( ( ! [SY130: $i] :
( ~ ( irel @ SV49 @ SY130 )
| ( p15 @ SY130 ) ) )
= $true )
| ( ( irel @ SV6 @ SV49 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(518,plain,
! [SV49: $i,SV6: $i] :
( ( ( p16 @ ( sK45_SY129 @ SV6 @ SV49 ) )
= $false )
| ( ( ! [SY130: $i] :
( ~ ( irel @ SV49 @ SY130 )
| ( p15 @ SY130 ) ) )
= $true )
| ( ( irel @ SV6 @ SV49 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(519,plain,
! [SV6: $i,SV29: $i] :
( ( ( irel @ SV29 @ ( sK25_SY89 @ SV6 @ SV29 ) )
= $true )
| ( ( ! [SY90: $i] :
( ~ ( irel @ SV29 @ SY90 )
| ( p15 @ SY90 ) ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[455]) ).
thf(520,plain,
! [SV6: $i,SV69: $i,SV29: $i] :
( ( ( ~ ( irel @ SV29 @ SV69 )
| ( p15 @ SV69 ) )
= $true )
| ( ( p16 @ ( sK25_SY89 @ SV6 @ SV29 ) )
= $false )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(521,plain,
! [SV7: $i,SV50: $i] :
( ( ( ~ ( irel @ SV50 @ ( sK46_SY131 @ SV7 @ SV50 ) ) )
= $false )
| ( ( ! [SY132: $i] :
( ~ ( irel @ SV50 @ SY132 )
| ( p11 @ SY132 ) ) )
= $true )
| ( ( irel @ SV7 @ SV50 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[457]) ).
thf(522,plain,
! [SV50: $i,SV7: $i] :
( ( ( p12 @ ( sK46_SY131 @ SV7 @ SV50 ) )
= $false )
| ( ( ! [SY132: $i] :
( ~ ( irel @ SV50 @ SY132 )
| ( p11 @ SY132 ) ) )
= $true )
| ( ( irel @ SV7 @ SV50 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[457]) ).
thf(523,plain,
! [SV7: $i,SV30: $i] :
( ( ( irel @ SV30 @ ( sK26_SY91 @ SV7 @ SV30 ) )
= $true )
| ( ( ! [SY92: $i] :
( ~ ( irel @ SV30 @ SY92 )
| ( p11 @ SY92 ) ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(524,plain,
! [SV7: $i,SV70: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV70 )
| ( p11 @ SV70 ) )
= $true )
| ( ( p12 @ ( sK26_SY91 @ SV7 @ SV30 ) )
= $false )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(525,plain,
! [SV8: $i,SV51: $i] :
( ( ( ~ ( irel @ SV51 @ ( sK47_SY133 @ SV8 @ SV51 ) ) )
= $false )
| ( ( ! [SY134: $i] :
( ~ ( irel @ SV51 @ SY134 )
| ( p10 @ SY134 ) ) )
= $true )
| ( ( irel @ SV8 @ SV51 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(526,plain,
! [SV51: $i,SV8: $i] :
( ( ( p11 @ ( sK47_SY133 @ SV8 @ SV51 ) )
= $false )
| ( ( ! [SY134: $i] :
( ~ ( irel @ SV51 @ SY134 )
| ( p10 @ SY134 ) ) )
= $true )
| ( ( irel @ SV8 @ SV51 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(527,plain,
! [SV8: $i,SV31: $i] :
( ( ( irel @ SV31 @ ( sK27_SY93 @ SV8 @ SV31 ) )
= $true )
| ( ( ! [SY94: $i] :
( ~ ( irel @ SV31 @ SY94 )
| ( p10 @ SY94 ) ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(528,plain,
! [SV8: $i,SV71: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV71 )
| ( p10 @ SV71 ) )
= $true )
| ( ( p11 @ ( sK27_SY93 @ SV8 @ SV31 ) )
= $false )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(529,plain,
! [SV9: $i,SV52: $i] :
( ( ( ~ ( irel @ SV52 @ ( sK48_SY135 @ SV9 @ SV52 ) ) )
= $false )
| ( ( ! [SY136: $i] :
( ~ ( irel @ SV52 @ SY136 )
| ( p5 @ SY136 ) ) )
= $true )
| ( ( irel @ SV9 @ SV52 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(530,plain,
! [SV52: $i,SV9: $i] :
( ( ( p6 @ ( sK48_SY135 @ SV9 @ SV52 ) )
= $false )
| ( ( ! [SY136: $i] :
( ~ ( irel @ SV52 @ SY136 )
| ( p5 @ SY136 ) ) )
= $true )
| ( ( irel @ SV9 @ SV52 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(531,plain,
! [SV9: $i,SV32: $i] :
( ( ( irel @ SV32 @ ( sK28_SY95 @ SV9 @ SV32 ) )
= $true )
| ( ( ! [SY96: $i] :
( ~ ( irel @ SV32 @ SY96 )
| ( p5 @ SY96 ) ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(532,plain,
! [SV9: $i,SV72: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV72 )
| ( p5 @ SV72 ) )
= $true )
| ( ( p6 @ ( sK28_SY95 @ SV9 @ SV32 ) )
= $false )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(533,plain,
! [SV10: $i,SV53: $i] :
( ( ( ~ ( irel @ SV53 @ ( sK49_SY137 @ SV10 @ SV53 ) ) )
= $false )
| ( ( ! [SY138: $i] :
( ~ ( irel @ SV53 @ SY138 )
| ( p6 @ SY138 ) ) )
= $true )
| ( ( irel @ SV10 @ SV53 )
= $false )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(534,plain,
! [SV53: $i,SV10: $i] :
( ( ( p7 @ ( sK49_SY137 @ SV10 @ SV53 ) )
= $false )
| ( ( ! [SY138: $i] :
( ~ ( irel @ SV53 @ SY138 )
| ( p6 @ SY138 ) ) )
= $true )
| ( ( irel @ SV10 @ SV53 )
= $false )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(535,plain,
! [SV10: $i,SV33: $i] :
( ( ( irel @ SV33 @ ( sK29_SY97 @ SV10 @ SV33 ) )
= $true )
| ( ( ! [SY98: $i] :
( ~ ( irel @ SV33 @ SY98 )
| ( p6 @ SY98 ) ) )
= $true )
| ( ( irel @ SV10 @ SV33 )
= $false )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(536,plain,
! [SV10: $i,SV73: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ SV73 )
| ( p6 @ SV73 ) )
= $true )
| ( ( p7 @ ( sK29_SY97 @ SV10 @ SV33 ) )
= $false )
| ( ( irel @ SV10 @ SV33 )
= $false )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(537,plain,
! [SV11: $i,SV54: $i] :
( ( ( ~ ( irel @ SV54 @ ( sK50_SY139 @ SV11 @ SV54 ) ) )
= $false )
| ( ( ! [SY140: $i] :
( ~ ( irel @ SV54 @ SY140 )
| ( p2 @ SY140 ) ) )
= $true )
| ( ( irel @ SV11 @ SV54 )
= $false )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(538,plain,
! [SV54: $i,SV11: $i] :
( ( ( p3 @ ( sK50_SY139 @ SV11 @ SV54 ) )
= $false )
| ( ( ! [SY140: $i] :
( ~ ( irel @ SV54 @ SY140 )
| ( p2 @ SY140 ) ) )
= $true )
| ( ( irel @ SV11 @ SV54 )
= $false )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(539,plain,
! [SV11: $i,SV34: $i] :
( ( ( irel @ SV34 @ ( sK30_SY99 @ SV11 @ SV34 ) )
= $true )
| ( ( ! [SY100: $i] :
( ~ ( irel @ SV34 @ SY100 )
| ( p2 @ SY100 ) ) )
= $true )
| ( ( irel @ SV11 @ SV34 )
= $false )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(540,plain,
! [SV11: $i,SV74: $i,SV34: $i] :
( ( ( ~ ( irel @ SV34 @ SV74 )
| ( p2 @ SV74 ) )
= $true )
| ( ( p3 @ ( sK30_SY99 @ SV11 @ SV34 ) )
= $false )
| ( ( irel @ SV11 @ SV34 )
= $false )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(541,plain,
! [SV12: $i,SV55: $i] :
( ( ( ~ ( irel @ SV55 @ ( sK51_SY141 @ SV12 @ SV55 ) ) )
= $false )
| ( ( ! [SY142: $i] :
( ~ ( irel @ SV55 @ SY142 )
| ( p13 @ SY142 ) ) )
= $true )
| ( ( irel @ SV12 @ SV55 )
= $false )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(542,plain,
! [SV55: $i,SV12: $i] :
( ( ( p14 @ ( sK51_SY141 @ SV12 @ SV55 ) )
= $false )
| ( ( ! [SY142: $i] :
( ~ ( irel @ SV55 @ SY142 )
| ( p13 @ SY142 ) ) )
= $true )
| ( ( irel @ SV12 @ SV55 )
= $false )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(543,plain,
! [SV12: $i,SV35: $i] :
( ( ( irel @ SV35 @ ( sK31_SY101 @ SV12 @ SV35 ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( irel @ SV35 @ SY102 )
| ( p13 @ SY102 ) ) )
= $true )
| ( ( irel @ SV12 @ SV35 )
= $false )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(544,plain,
! [SV12: $i,SV75: $i,SV35: $i] :
( ( ( ~ ( irel @ SV35 @ SV75 )
| ( p13 @ SV75 ) )
= $true )
| ( ( p14 @ ( sK31_SY101 @ SV12 @ SV35 ) )
= $false )
| ( ( irel @ SV12 @ SV35 )
= $false )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(545,plain,
! [SV13: $i,SV56: $i] :
( ( ( ~ ( irel @ SV56 @ ( sK52_SY143 @ SV13 @ SV56 ) ) )
= $false )
| ( ( ! [SY144: $i] :
( ~ ( irel @ SV56 @ SY144 )
| ( p16 @ SY144 ) ) )
= $true )
| ( ( irel @ SV13 @ SV56 )
= $false )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(546,plain,
! [SV56: $i,SV13: $i] :
( ( ( p17 @ ( sK52_SY143 @ SV13 @ SV56 ) )
= $false )
| ( ( ! [SY144: $i] :
( ~ ( irel @ SV56 @ SY144 )
| ( p16 @ SY144 ) ) )
= $true )
| ( ( irel @ SV13 @ SV56 )
= $false )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(547,plain,
! [SV13: $i,SV36: $i] :
( ( ( irel @ SV36 @ ( sK32_SY103 @ SV13 @ SV36 ) )
= $true )
| ( ( ! [SY104: $i] :
( ~ ( irel @ SV36 @ SY104 )
| ( p16 @ SY104 ) ) )
= $true )
| ( ( irel @ SV13 @ SV36 )
= $false )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[476]) ).
thf(548,plain,
! [SV13: $i,SV76: $i,SV36: $i] :
( ( ( ~ ( irel @ SV36 @ SV76 )
| ( p16 @ SV76 ) )
= $true )
| ( ( p17 @ ( sK32_SY103 @ SV13 @ SV36 ) )
= $false )
| ( ( irel @ SV13 @ SV36 )
= $false )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(549,plain,
! [SV14: $i,SV57: $i] :
( ( ( ~ ( irel @ SV57 @ ( sK53_SY145 @ SV14 @ SV57 ) ) )
= $false )
| ( ( ! [SY146: $i] :
( ~ ( irel @ SV57 @ SY146 )
| ( p14 @ SY146 ) ) )
= $true )
| ( ( irel @ SV14 @ SV57 )
= $false )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(550,plain,
! [SV57: $i,SV14: $i] :
( ( ( p15 @ ( sK53_SY145 @ SV14 @ SV57 ) )
= $false )
| ( ( ! [SY146: $i] :
( ~ ( irel @ SV57 @ SY146 )
| ( p14 @ SY146 ) ) )
= $true )
| ( ( irel @ SV14 @ SV57 )
= $false )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(551,plain,
! [SV14: $i,SV37: $i] :
( ( ( irel @ SV37 @ ( sK33_SY105 @ SV14 @ SV37 ) )
= $true )
| ( ( ! [SY106: $i] :
( ~ ( irel @ SV37 @ SY106 )
| ( p14 @ SY106 ) ) )
= $true )
| ( ( irel @ SV14 @ SV37 )
= $false )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[479]) ).
thf(552,plain,
! [SV14: $i,SV77: $i,SV37: $i] :
( ( ( ~ ( irel @ SV37 @ SV77 )
| ( p14 @ SV77 ) )
= $true )
| ( ( p15 @ ( sK33_SY105 @ SV14 @ SV37 ) )
= $false )
| ( ( irel @ SV14 @ SV37 )
= $false )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(553,plain,
! [SV15: $i,SV58: $i] :
( ( ( ~ ( irel @ SV58 @ ( sK54_SY147 @ SV15 @ SV58 ) ) )
= $false )
| ( ( ! [SY148: $i] :
( ~ ( irel @ SV58 @ SY148 )
| ( p17 @ SY148 ) ) )
= $true )
| ( ( irel @ SV15 @ SV58 )
= $false )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(554,plain,
! [SV58: $i,SV15: $i] :
( ( ( p18 @ ( sK54_SY147 @ SV15 @ SV58 ) )
= $false )
| ( ( ! [SY148: $i] :
( ~ ( irel @ SV58 @ SY148 )
| ( p17 @ SY148 ) ) )
= $true )
| ( ( irel @ SV15 @ SV58 )
= $false )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(555,plain,
! [SV15: $i,SV38: $i] :
( ( ( irel @ SV38 @ ( sK34_SY107 @ SV15 @ SV38 ) )
= $true )
| ( ( ! [SY108: $i] :
( ~ ( irel @ SV38 @ SY108 )
| ( p17 @ SY108 ) ) )
= $true )
| ( ( irel @ SV15 @ SV38 )
= $false )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(556,plain,
! [SV15: $i,SV78: $i,SV38: $i] :
( ( ( ~ ( irel @ SV38 @ SV78 )
| ( p17 @ SV78 ) )
= $true )
| ( ( p18 @ ( sK34_SY107 @ SV15 @ SV38 ) )
= $false )
| ( ( irel @ SV15 @ SV38 )
= $false )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(557,plain,
! [SV16: $i,SV59: $i] :
( ( ( ~ ( irel @ SV59 @ ( sK55_SY149 @ SV16 @ SV59 ) ) )
= $false )
| ( ( ! [SY150: $i] :
( ~ ( irel @ SV59 @ SY150 )
| ( p3 @ SY150 ) ) )
= $true )
| ( ( irel @ SV16 @ SV59 )
= $false )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(558,plain,
! [SV59: $i,SV16: $i] :
( ( ( p4 @ ( sK55_SY149 @ SV16 @ SV59 ) )
= $false )
| ( ( ! [SY150: $i] :
( ~ ( irel @ SV59 @ SY150 )
| ( p3 @ SY150 ) ) )
= $true )
| ( ( irel @ SV16 @ SV59 )
= $false )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(559,plain,
! [SV16: $i,SV39: $i] :
( ( ( irel @ SV39 @ ( sK35_SY109 @ SV16 @ SV39 ) )
= $true )
| ( ( ! [SY110: $i] :
( ~ ( irel @ SV39 @ SY110 )
| ( p3 @ SY110 ) ) )
= $true )
| ( ( irel @ SV16 @ SV39 )
= $false )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(560,plain,
! [SV16: $i,SV79: $i,SV39: $i] :
( ( ( ~ ( irel @ SV39 @ SV79 )
| ( p3 @ SV79 ) )
= $true )
| ( ( p4 @ ( sK35_SY109 @ SV16 @ SV39 ) )
= $false )
| ( ( irel @ SV16 @ SV39 )
= $false )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(561,plain,
! [SV17: $i,SV60: $i] :
( ( ( ~ ( irel @ SV60 @ ( sK56_SY151 @ SV17 @ SV60 ) ) )
= $false )
| ( ( ! [SY152: $i] :
( ~ ( irel @ SV60 @ SY152 )
| ( p0 @ SY152 ) ) )
= $true )
| ( ( irel @ SV17 @ SV60 )
= $false )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(562,plain,
! [SV60: $i,SV17: $i] :
( ( ( p1 @ ( sK56_SY151 @ SV17 @ SV60 ) )
= $false )
| ( ( ! [SY152: $i] :
( ~ ( irel @ SV60 @ SY152 )
| ( p0 @ SY152 ) ) )
= $true )
| ( ( irel @ SV17 @ SV60 )
= $false )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(563,plain,
! [SV17: $i,SV40: $i] :
( ( ( irel @ SV40 @ ( sK36_SY111 @ SV17 @ SV40 ) )
= $true )
| ( ( ! [SY112: $i] :
( ~ ( irel @ SV40 @ SY112 )
| ( p0 @ SY112 ) ) )
= $true )
| ( ( irel @ SV17 @ SV40 )
= $false )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(564,plain,
! [SV17: $i,SV80: $i,SV40: $i] :
( ( ( ~ ( irel @ SV40 @ SV80 )
| ( p0 @ SV80 ) )
= $true )
| ( ( p1 @ ( sK36_SY111 @ SV17 @ SV40 ) )
= $false )
| ( ( irel @ SV17 @ SV40 )
= $false )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(565,plain,
! [SV18: $i,SV61: $i] :
( ( ( ~ ( irel @ SV61 @ ( sK57_SY153 @ SV18 @ SV61 ) ) )
= $false )
| ( ( ! [SY154: $i] :
( ~ ( irel @ SV61 @ SY154 )
| ( p7 @ SY154 ) ) )
= $true )
| ( ( irel @ SV18 @ SV61 )
= $false )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(566,plain,
! [SV61: $i,SV18: $i] :
( ( ( p8 @ ( sK57_SY153 @ SV18 @ SV61 ) )
= $false )
| ( ( ! [SY154: $i] :
( ~ ( irel @ SV61 @ SY154 )
| ( p7 @ SY154 ) ) )
= $true )
| ( ( irel @ SV18 @ SV61 )
= $false )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(567,plain,
! [SV18: $i,SV41: $i] :
( ( ( irel @ SV41 @ ( sK37_SY113 @ SV18 @ SV41 ) )
= $true )
| ( ( ! [SY114: $i] :
( ~ ( irel @ SV41 @ SY114 )
| ( p7 @ SY114 ) ) )
= $true )
| ( ( irel @ SV18 @ SV41 )
= $false )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(568,plain,
! [SV18: $i,SV81: $i,SV41: $i] :
( ( ( ~ ( irel @ SV41 @ SV81 )
| ( p7 @ SV81 ) )
= $true )
| ( ( p8 @ ( sK37_SY113 @ SV18 @ SV41 ) )
= $false )
| ( ( irel @ SV18 @ SV41 )
= $false )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(569,plain,
! [SV20: $i,SV62: $i] :
( ( ( ~ ( irel @ SV62 @ ( sK58_SY155 @ SV20 @ SV62 ) ) )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( irel @ SV62 @ SY156 )
| ( p18 @ SY156 ) ) )
= $true )
| ( ( irel @ SV20 @ SV62 )
= $false )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(570,plain,
! [SV62: $i,SV20: $i] :
( ( ( p19 @ ( sK58_SY155 @ SV20 @ SV62 ) )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( irel @ SV62 @ SY156 )
| ( p18 @ SY156 ) ) )
= $true )
| ( ( irel @ SV20 @ SV62 )
= $false )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(571,plain,
! [SV20: $i,SV42: $i] :
( ( ( irel @ SV42 @ ( sK38_SY115 @ SV20 @ SV42 ) )
= $true )
| ( ( ! [SY116: $i] :
( ~ ( irel @ SV42 @ SY116 )
| ( p18 @ SY116 ) ) )
= $true )
| ( ( irel @ SV20 @ SV42 )
= $false )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(572,plain,
! [SV20: $i,SV82: $i,SV42: $i] :
( ( ( ~ ( irel @ SV42 @ SV82 )
| ( p18 @ SV82 ) )
= $true )
| ( ( p19 @ ( sK38_SY115 @ SV20 @ SV42 ) )
= $false )
| ( ( irel @ SV20 @ SV42 )
= $false )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(573,plain,
! [SV21: $i,SV63: $i] :
( ( ( ~ ( irel @ SV63 @ ( sK59_SY157 @ SV21 @ SV63 ) ) )
= $false )
| ( ( ! [SY158: $i] :
( ~ ( irel @ SV63 @ SY158 )
| ( p9 @ SY158 ) ) )
= $true )
| ( ( irel @ SV21 @ SV63 )
= $false )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(574,plain,
! [SV63: $i,SV21: $i] :
( ( ( p10 @ ( sK59_SY157 @ SV21 @ SV63 ) )
= $false )
| ( ( ! [SY158: $i] :
( ~ ( irel @ SV63 @ SY158 )
| ( p9 @ SY158 ) ) )
= $true )
| ( ( irel @ SV21 @ SV63 )
= $false )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(575,plain,
! [SV21: $i,SV43: $i] :
( ( ( irel @ SV43 @ ( sK39_SY117 @ SV21 @ SV43 ) )
= $true )
| ( ( ! [SY118: $i] :
( ~ ( irel @ SV43 @ SY118 )
| ( p9 @ SY118 ) ) )
= $true )
| ( ( irel @ SV21 @ SV43 )
= $false )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(576,plain,
! [SV21: $i,SV83: $i,SV43: $i] :
( ( ( ~ ( irel @ SV43 @ SV83 )
| ( p9 @ SV83 ) )
= $true )
| ( ( p10 @ ( sK39_SY117 @ SV21 @ SV43 ) )
= $false )
| ( ( irel @ SV21 @ SV43 )
= $false )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(577,plain,
! [SV22: $i,SV64: $i] :
( ( ( ~ ( irel @ SV64 @ ( sK60_SY159 @ SV22 @ SV64 ) ) )
= $false )
| ( ( ! [SY160: $i] :
( ~ ( irel @ SV64 @ SY160 )
| ( p19 @ SY160 ) ) )
= $true )
| ( ( irel @ SV22 @ SV64 )
= $false )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(578,plain,
! [SV64: $i,SV22: $i] :
( ( ( p20 @ ( sK60_SY159 @ SV22 @ SV64 ) )
= $false )
| ( ( ! [SY160: $i] :
( ~ ( irel @ SV64 @ SY160 )
| ( p19 @ SY160 ) ) )
= $true )
| ( ( irel @ SV22 @ SV64 )
= $false )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(579,plain,
! [SV22: $i,SV44: $i] :
( ( ( irel @ SV44 @ ( sK40_SY119 @ SV22 @ SV44 ) )
= $true )
| ( ( ! [SY120: $i] :
( ~ ( irel @ SV44 @ SY120 )
| ( p19 @ SY120 ) ) )
= $true )
| ( ( irel @ SV22 @ SV44 )
= $false )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(580,plain,
! [SV22: $i,SV84: $i,SV44: $i] :
( ( ( ~ ( irel @ SV44 @ SV84 )
| ( p19 @ SV84 ) )
= $true )
| ( ( p20 @ ( sK40_SY119 @ SV22 @ SV44 ) )
= $false )
| ( ( irel @ SV22 @ SV44 )
= $false )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(581,plain,
! [SV23: $i,SV65: $i] :
( ( ( ~ ( irel @ SV65 @ ( sK61_SY161 @ SV23 @ SV65 ) ) )
= $false )
| ( ( ! [SY162: $i] :
( ~ ( irel @ SV65 @ SY162 )
| ( p1 @ SY162 ) ) )
= $true )
| ( ( irel @ SV23 @ SV65 )
= $false )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(582,plain,
! [SV65: $i,SV23: $i] :
( ( ( p2 @ ( sK61_SY161 @ SV23 @ SV65 ) )
= $false )
| ( ( ! [SY162: $i] :
( ~ ( irel @ SV65 @ SY162 )
| ( p1 @ SY162 ) ) )
= $true )
| ( ( irel @ SV23 @ SV65 )
= $false )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(583,plain,
! [SV23: $i,SV45: $i] :
( ( ( irel @ SV45 @ ( sK41_SY121 @ SV23 @ SV45 ) )
= $true )
| ( ( ! [SY122: $i] :
( ~ ( irel @ SV45 @ SY122 )
| ( p1 @ SY122 ) ) )
= $true )
| ( ( irel @ SV23 @ SV45 )
= $false )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(584,plain,
! [SV23: $i,SV85: $i,SV45: $i] :
( ( ( ~ ( irel @ SV45 @ SV85 )
| ( p1 @ SV85 ) )
= $true )
| ( ( p2 @ ( sK41_SY121 @ SV23 @ SV45 ) )
= $false )
| ( ( irel @ SV23 @ SV45 )
= $false )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(585,plain,
! [SV3: $i,SV46: $i] :
( ( ( irel @ SV46 @ ( sK42_SY123 @ SV3 @ SV46 ) )
= $true )
| ( ( ! [SY124: $i] :
( ~ ( irel @ SV46 @ SY124 )
| ( p12 @ SY124 ) ) )
= $true )
| ( ( irel @ SV3 @ SV46 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(586,plain,
! [SV3: $i,SV86: $i,SV46: $i] :
( ( ( ~ ( irel @ SV46 @ SV86 )
| ( p12 @ SV86 ) )
= $true )
| ( ( p13 @ ( sK42_SY123 @ SV3 @ SV46 ) )
= $false )
| ( ( irel @ SV3 @ SV46 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(587,plain,
! [SV3: $i,SV87: $i,SV26: $i] :
( ( ( ~ ( irel @ SV26 @ SV87 )
| ( p12 @ SV87 ) )
= $true )
| ( ( irel @ SV26 @ ( sK22_SY83 @ SV3 @ SV26 ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(588,plain,
! [SV3: $i,SV66: $i,SV26: $i] :
( ( ( ~ ( irel @ SV26 @ SV66 ) )
= $true )
| ( ( p12 @ SV66 )
= $true )
| ( ( p13 @ ( sK22_SY83 @ SV3 @ SV26 ) )
= $false )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[508]) ).
thf(589,plain,
! [SV4: $i,SV47: $i] :
( ( ( irel @ SV47 @ ( sK43_SY125 @ SV4 @ SV47 ) )
= $true )
| ( ( ! [SY126: $i] :
( ~ ( irel @ SV47 @ SY126 )
| ( p4 @ SY126 ) ) )
= $true )
| ( ( irel @ SV4 @ SV47 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(590,plain,
! [SV4: $i,SV88: $i,SV47: $i] :
( ( ( ~ ( irel @ SV47 @ SV88 )
| ( p4 @ SV88 ) )
= $true )
| ( ( p5 @ ( sK43_SY125 @ SV4 @ SV47 ) )
= $false )
| ( ( irel @ SV4 @ SV47 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(591,plain,
! [SV4: $i,SV89: $i,SV27: $i] :
( ( ( ~ ( irel @ SV27 @ SV89 )
| ( p4 @ SV89 ) )
= $true )
| ( ( irel @ SV27 @ ( sK23_SY85 @ SV4 @ SV27 ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(592,plain,
! [SV4: $i,SV67: $i,SV27: $i] :
( ( ( ~ ( irel @ SV27 @ SV67 ) )
= $true )
| ( ( p4 @ SV67 )
= $true )
| ( ( p5 @ ( sK23_SY85 @ SV4 @ SV27 ) )
= $false )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(593,plain,
! [SV5: $i,SV48: $i] :
( ( ( irel @ SV48 @ ( sK44_SY127 @ SV5 @ SV48 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ( irel @ SV48 @ SY128 )
| ( p8 @ SY128 ) ) )
= $true )
| ( ( irel @ SV5 @ SV48 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(594,plain,
! [SV5: $i,SV90: $i,SV48: $i] :
( ( ( ~ ( irel @ SV48 @ SV90 )
| ( p8 @ SV90 ) )
= $true )
| ( ( p9 @ ( sK44_SY127 @ SV5 @ SV48 ) )
= $false )
| ( ( irel @ SV5 @ SV48 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(595,plain,
! [SV5: $i,SV91: $i,SV28: $i] :
( ( ( ~ ( irel @ SV28 @ SV91 )
| ( p8 @ SV91 ) )
= $true )
| ( ( irel @ SV28 @ ( sK24_SY87 @ SV5 @ SV28 ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(596,plain,
! [SV5: $i,SV68: $i,SV28: $i] :
( ( ( ~ ( irel @ SV28 @ SV68 ) )
= $true )
| ( ( p8 @ SV68 )
= $true )
| ( ( p9 @ ( sK24_SY87 @ SV5 @ SV28 ) )
= $false )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(597,plain,
! [SV6: $i,SV49: $i] :
( ( ( irel @ SV49 @ ( sK45_SY129 @ SV6 @ SV49 ) )
= $true )
| ( ( ! [SY130: $i] :
( ~ ( irel @ SV49 @ SY130 )
| ( p15 @ SY130 ) ) )
= $true )
| ( ( irel @ SV6 @ SV49 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[517]) ).
thf(598,plain,
! [SV6: $i,SV92: $i,SV49: $i] :
( ( ( ~ ( irel @ SV49 @ SV92 )
| ( p15 @ SV92 ) )
= $true )
| ( ( p16 @ ( sK45_SY129 @ SV6 @ SV49 ) )
= $false )
| ( ( irel @ SV6 @ SV49 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(599,plain,
! [SV6: $i,SV93: $i,SV29: $i] :
( ( ( ~ ( irel @ SV29 @ SV93 )
| ( p15 @ SV93 ) )
= $true )
| ( ( irel @ SV29 @ ( sK25_SY89 @ SV6 @ SV29 ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(600,plain,
! [SV6: $i,SV69: $i,SV29: $i] :
( ( ( ~ ( irel @ SV29 @ SV69 ) )
= $true )
| ( ( p15 @ SV69 )
= $true )
| ( ( p16 @ ( sK25_SY89 @ SV6 @ SV29 ) )
= $false )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(601,plain,
! [SV7: $i,SV50: $i] :
( ( ( irel @ SV50 @ ( sK46_SY131 @ SV7 @ SV50 ) )
= $true )
| ( ( ! [SY132: $i] :
( ~ ( irel @ SV50 @ SY132 )
| ( p11 @ SY132 ) ) )
= $true )
| ( ( irel @ SV7 @ SV50 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(602,plain,
! [SV7: $i,SV94: $i,SV50: $i] :
( ( ( ~ ( irel @ SV50 @ SV94 )
| ( p11 @ SV94 ) )
= $true )
| ( ( p12 @ ( sK46_SY131 @ SV7 @ SV50 ) )
= $false )
| ( ( irel @ SV7 @ SV50 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(603,plain,
! [SV7: $i,SV95: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV95 )
| ( p11 @ SV95 ) )
= $true )
| ( ( irel @ SV30 @ ( sK26_SY91 @ SV7 @ SV30 ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(604,plain,
! [SV7: $i,SV70: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV70 ) )
= $true )
| ( ( p11 @ SV70 )
= $true )
| ( ( p12 @ ( sK26_SY91 @ SV7 @ SV30 ) )
= $false )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[524]) ).
thf(605,plain,
! [SV8: $i,SV51: $i] :
( ( ( irel @ SV51 @ ( sK47_SY133 @ SV8 @ SV51 ) )
= $true )
| ( ( ! [SY134: $i] :
( ~ ( irel @ SV51 @ SY134 )
| ( p10 @ SY134 ) ) )
= $true )
| ( ( irel @ SV8 @ SV51 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(606,plain,
! [SV8: $i,SV96: $i,SV51: $i] :
( ( ( ~ ( irel @ SV51 @ SV96 )
| ( p10 @ SV96 ) )
= $true )
| ( ( p11 @ ( sK47_SY133 @ SV8 @ SV51 ) )
= $false )
| ( ( irel @ SV8 @ SV51 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(607,plain,
! [SV8: $i,SV97: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV97 )
| ( p10 @ SV97 ) )
= $true )
| ( ( irel @ SV31 @ ( sK27_SY93 @ SV8 @ SV31 ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(608,plain,
! [SV8: $i,SV71: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV71 ) )
= $true )
| ( ( p10 @ SV71 )
= $true )
| ( ( p11 @ ( sK27_SY93 @ SV8 @ SV31 ) )
= $false )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(609,plain,
! [SV9: $i,SV52: $i] :
( ( ( irel @ SV52 @ ( sK48_SY135 @ SV9 @ SV52 ) )
= $true )
| ( ( ! [SY136: $i] :
( ~ ( irel @ SV52 @ SY136 )
| ( p5 @ SY136 ) ) )
= $true )
| ( ( irel @ SV9 @ SV52 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(610,plain,
! [SV9: $i,SV98: $i,SV52: $i] :
( ( ( ~ ( irel @ SV52 @ SV98 )
| ( p5 @ SV98 ) )
= $true )
| ( ( p6 @ ( sK48_SY135 @ SV9 @ SV52 ) )
= $false )
| ( ( irel @ SV9 @ SV52 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(611,plain,
! [SV9: $i,SV99: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV99 )
| ( p5 @ SV99 ) )
= $true )
| ( ( irel @ SV32 @ ( sK28_SY95 @ SV9 @ SV32 ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(612,plain,
! [SV9: $i,SV72: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV72 ) )
= $true )
| ( ( p5 @ SV72 )
= $true )
| ( ( p6 @ ( sK28_SY95 @ SV9 @ SV32 ) )
= $false )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(613,plain,
! [SV10: $i,SV53: $i] :
( ( ( irel @ SV53 @ ( sK49_SY137 @ SV10 @ SV53 ) )
= $true )
| ( ( ! [SY138: $i] :
( ~ ( irel @ SV53 @ SY138 )
| ( p6 @ SY138 ) ) )
= $true )
| ( ( irel @ SV10 @ SV53 )
= $false )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(614,plain,
! [SV10: $i,SV100: $i,SV53: $i] :
( ( ( ~ ( irel @ SV53 @ SV100 )
| ( p6 @ SV100 ) )
= $true )
| ( ( p7 @ ( sK49_SY137 @ SV10 @ SV53 ) )
= $false )
| ( ( irel @ SV10 @ SV53 )
= $false )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(615,plain,
! [SV10: $i,SV101: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ SV101 )
| ( p6 @ SV101 ) )
= $true )
| ( ( irel @ SV33 @ ( sK29_SY97 @ SV10 @ SV33 ) )
= $true )
| ( ( irel @ SV10 @ SV33 )
= $false )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(616,plain,
! [SV10: $i,SV73: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ SV73 ) )
= $true )
| ( ( p6 @ SV73 )
= $true )
| ( ( p7 @ ( sK29_SY97 @ SV10 @ SV33 ) )
= $false )
| ( ( irel @ SV10 @ SV33 )
= $false )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(617,plain,
! [SV11: $i,SV54: $i] :
( ( ( irel @ SV54 @ ( sK50_SY139 @ SV11 @ SV54 ) )
= $true )
| ( ( ! [SY140: $i] :
( ~ ( irel @ SV54 @ SY140 )
| ( p2 @ SY140 ) ) )
= $true )
| ( ( irel @ SV11 @ SV54 )
= $false )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(618,plain,
! [SV11: $i,SV102: $i,SV54: $i] :
( ( ( ~ ( irel @ SV54 @ SV102 )
| ( p2 @ SV102 ) )
= $true )
| ( ( p3 @ ( sK50_SY139 @ SV11 @ SV54 ) )
= $false )
| ( ( irel @ SV11 @ SV54 )
= $false )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(619,plain,
! [SV11: $i,SV103: $i,SV34: $i] :
( ( ( ~ ( irel @ SV34 @ SV103 )
| ( p2 @ SV103 ) )
= $true )
| ( ( irel @ SV34 @ ( sK30_SY99 @ SV11 @ SV34 ) )
= $true )
| ( ( irel @ SV11 @ SV34 )
= $false )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(620,plain,
! [SV11: $i,SV74: $i,SV34: $i] :
( ( ( ~ ( irel @ SV34 @ SV74 ) )
= $true )
| ( ( p2 @ SV74 )
= $true )
| ( ( p3 @ ( sK30_SY99 @ SV11 @ SV34 ) )
= $false )
| ( ( irel @ SV11 @ SV34 )
= $false )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(621,plain,
! [SV12: $i,SV55: $i] :
( ( ( irel @ SV55 @ ( sK51_SY141 @ SV12 @ SV55 ) )
= $true )
| ( ( ! [SY142: $i] :
( ~ ( irel @ SV55 @ SY142 )
| ( p13 @ SY142 ) ) )
= $true )
| ( ( irel @ SV12 @ SV55 )
= $false )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(622,plain,
! [SV12: $i,SV104: $i,SV55: $i] :
( ( ( ~ ( irel @ SV55 @ SV104 )
| ( p13 @ SV104 ) )
= $true )
| ( ( p14 @ ( sK51_SY141 @ SV12 @ SV55 ) )
= $false )
| ( ( irel @ SV12 @ SV55 )
= $false )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(623,plain,
! [SV12: $i,SV105: $i,SV35: $i] :
( ( ( ~ ( irel @ SV35 @ SV105 )
| ( p13 @ SV105 ) )
= $true )
| ( ( irel @ SV35 @ ( sK31_SY101 @ SV12 @ SV35 ) )
= $true )
| ( ( irel @ SV12 @ SV35 )
= $false )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(624,plain,
! [SV12: $i,SV75: $i,SV35: $i] :
( ( ( ~ ( irel @ SV35 @ SV75 ) )
= $true )
| ( ( p13 @ SV75 )
= $true )
| ( ( p14 @ ( sK31_SY101 @ SV12 @ SV35 ) )
= $false )
| ( ( irel @ SV12 @ SV35 )
= $false )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(625,plain,
! [SV13: $i,SV56: $i] :
( ( ( irel @ SV56 @ ( sK52_SY143 @ SV13 @ SV56 ) )
= $true )
| ( ( ! [SY144: $i] :
( ~ ( irel @ SV56 @ SY144 )
| ( p16 @ SY144 ) ) )
= $true )
| ( ( irel @ SV13 @ SV56 )
= $false )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(626,plain,
! [SV13: $i,SV106: $i,SV56: $i] :
( ( ( ~ ( irel @ SV56 @ SV106 )
| ( p16 @ SV106 ) )
= $true )
| ( ( p17 @ ( sK52_SY143 @ SV13 @ SV56 ) )
= $false )
| ( ( irel @ SV13 @ SV56 )
= $false )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(627,plain,
! [SV13: $i,SV107: $i,SV36: $i] :
( ( ( ~ ( irel @ SV36 @ SV107 )
| ( p16 @ SV107 ) )
= $true )
| ( ( irel @ SV36 @ ( sK32_SY103 @ SV13 @ SV36 ) )
= $true )
| ( ( irel @ SV13 @ SV36 )
= $false )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(628,plain,
! [SV13: $i,SV76: $i,SV36: $i] :
( ( ( ~ ( irel @ SV36 @ SV76 ) )
= $true )
| ( ( p16 @ SV76 )
= $true )
| ( ( p17 @ ( sK32_SY103 @ SV13 @ SV36 ) )
= $false )
| ( ( irel @ SV13 @ SV36 )
= $false )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(629,plain,
! [SV14: $i,SV57: $i] :
( ( ( irel @ SV57 @ ( sK53_SY145 @ SV14 @ SV57 ) )
= $true )
| ( ( ! [SY146: $i] :
( ~ ( irel @ SV57 @ SY146 )
| ( p14 @ SY146 ) ) )
= $true )
| ( ( irel @ SV14 @ SV57 )
= $false )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(630,plain,
! [SV14: $i,SV108: $i,SV57: $i] :
( ( ( ~ ( irel @ SV57 @ SV108 )
| ( p14 @ SV108 ) )
= $true )
| ( ( p15 @ ( sK53_SY145 @ SV14 @ SV57 ) )
= $false )
| ( ( irel @ SV14 @ SV57 )
= $false )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(631,plain,
! [SV14: $i,SV109: $i,SV37: $i] :
( ( ( ~ ( irel @ SV37 @ SV109 )
| ( p14 @ SV109 ) )
= $true )
| ( ( irel @ SV37 @ ( sK33_SY105 @ SV14 @ SV37 ) )
= $true )
| ( ( irel @ SV14 @ SV37 )
= $false )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(632,plain,
! [SV14: $i,SV77: $i,SV37: $i] :
( ( ( ~ ( irel @ SV37 @ SV77 ) )
= $true )
| ( ( p14 @ SV77 )
= $true )
| ( ( p15 @ ( sK33_SY105 @ SV14 @ SV37 ) )
= $false )
| ( ( irel @ SV14 @ SV37 )
= $false )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(633,plain,
! [SV15: $i,SV58: $i] :
( ( ( irel @ SV58 @ ( sK54_SY147 @ SV15 @ SV58 ) )
= $true )
| ( ( ! [SY148: $i] :
( ~ ( irel @ SV58 @ SY148 )
| ( p17 @ SY148 ) ) )
= $true )
| ( ( irel @ SV15 @ SV58 )
= $false )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(634,plain,
! [SV15: $i,SV110: $i,SV58: $i] :
( ( ( ~ ( irel @ SV58 @ SV110 )
| ( p17 @ SV110 ) )
= $true )
| ( ( p18 @ ( sK54_SY147 @ SV15 @ SV58 ) )
= $false )
| ( ( irel @ SV15 @ SV58 )
= $false )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(635,plain,
! [SV15: $i,SV111: $i,SV38: $i] :
( ( ( ~ ( irel @ SV38 @ SV111 )
| ( p17 @ SV111 ) )
= $true )
| ( ( irel @ SV38 @ ( sK34_SY107 @ SV15 @ SV38 ) )
= $true )
| ( ( irel @ SV15 @ SV38 )
= $false )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(636,plain,
! [SV15: $i,SV78: $i,SV38: $i] :
( ( ( ~ ( irel @ SV38 @ SV78 ) )
= $true )
| ( ( p17 @ SV78 )
= $true )
| ( ( p18 @ ( sK34_SY107 @ SV15 @ SV38 ) )
= $false )
| ( ( irel @ SV15 @ SV38 )
= $false )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(637,plain,
! [SV16: $i,SV59: $i] :
( ( ( irel @ SV59 @ ( sK55_SY149 @ SV16 @ SV59 ) )
= $true )
| ( ( ! [SY150: $i] :
( ~ ( irel @ SV59 @ SY150 )
| ( p3 @ SY150 ) ) )
= $true )
| ( ( irel @ SV16 @ SV59 )
= $false )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(638,plain,
! [SV16: $i,SV112: $i,SV59: $i] :
( ( ( ~ ( irel @ SV59 @ SV112 )
| ( p3 @ SV112 ) )
= $true )
| ( ( p4 @ ( sK55_SY149 @ SV16 @ SV59 ) )
= $false )
| ( ( irel @ SV16 @ SV59 )
= $false )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(639,plain,
! [SV16: $i,SV113: $i,SV39: $i] :
( ( ( ~ ( irel @ SV39 @ SV113 )
| ( p3 @ SV113 ) )
= $true )
| ( ( irel @ SV39 @ ( sK35_SY109 @ SV16 @ SV39 ) )
= $true )
| ( ( irel @ SV16 @ SV39 )
= $false )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(640,plain,
! [SV16: $i,SV79: $i,SV39: $i] :
( ( ( ~ ( irel @ SV39 @ SV79 ) )
= $true )
| ( ( p3 @ SV79 )
= $true )
| ( ( p4 @ ( sK35_SY109 @ SV16 @ SV39 ) )
= $false )
| ( ( irel @ SV16 @ SV39 )
= $false )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(641,plain,
! [SV17: $i,SV60: $i] :
( ( ( irel @ SV60 @ ( sK56_SY151 @ SV17 @ SV60 ) )
= $true )
| ( ( ! [SY152: $i] :
( ~ ( irel @ SV60 @ SY152 )
| ( p0 @ SY152 ) ) )
= $true )
| ( ( irel @ SV17 @ SV60 )
= $false )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(642,plain,
! [SV17: $i,SV114: $i,SV60: $i] :
( ( ( ~ ( irel @ SV60 @ SV114 )
| ( p0 @ SV114 ) )
= $true )
| ( ( p1 @ ( sK56_SY151 @ SV17 @ SV60 ) )
= $false )
| ( ( irel @ SV17 @ SV60 )
= $false )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(643,plain,
! [SV17: $i,SV115: $i,SV40: $i] :
( ( ( ~ ( irel @ SV40 @ SV115 )
| ( p0 @ SV115 ) )
= $true )
| ( ( irel @ SV40 @ ( sK36_SY111 @ SV17 @ SV40 ) )
= $true )
| ( ( irel @ SV17 @ SV40 )
= $false )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(644,plain,
! [SV17: $i,SV80: $i,SV40: $i] :
( ( ( ~ ( irel @ SV40 @ SV80 ) )
= $true )
| ( ( p0 @ SV80 )
= $true )
| ( ( p1 @ ( sK36_SY111 @ SV17 @ SV40 ) )
= $false )
| ( ( irel @ SV17 @ SV40 )
= $false )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[564]) ).
thf(645,plain,
! [SV18: $i,SV61: $i] :
( ( ( irel @ SV61 @ ( sK57_SY153 @ SV18 @ SV61 ) )
= $true )
| ( ( ! [SY154: $i] :
( ~ ( irel @ SV61 @ SY154 )
| ( p7 @ SY154 ) ) )
= $true )
| ( ( irel @ SV18 @ SV61 )
= $false )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(646,plain,
! [SV18: $i,SV116: $i,SV61: $i] :
( ( ( ~ ( irel @ SV61 @ SV116 )
| ( p7 @ SV116 ) )
= $true )
| ( ( p8 @ ( sK57_SY153 @ SV18 @ SV61 ) )
= $false )
| ( ( irel @ SV18 @ SV61 )
= $false )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(647,plain,
! [SV18: $i,SV117: $i,SV41: $i] :
( ( ( ~ ( irel @ SV41 @ SV117 )
| ( p7 @ SV117 ) )
= $true )
| ( ( irel @ SV41 @ ( sK37_SY113 @ SV18 @ SV41 ) )
= $true )
| ( ( irel @ SV18 @ SV41 )
= $false )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(648,plain,
! [SV18: $i,SV81: $i,SV41: $i] :
( ( ( ~ ( irel @ SV41 @ SV81 ) )
= $true )
| ( ( p7 @ SV81 )
= $true )
| ( ( p8 @ ( sK37_SY113 @ SV18 @ SV41 ) )
= $false )
| ( ( irel @ SV18 @ SV41 )
= $false )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(649,plain,
! [SV20: $i,SV62: $i] :
( ( ( irel @ SV62 @ ( sK58_SY155 @ SV20 @ SV62 ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( irel @ SV62 @ SY156 )
| ( p18 @ SY156 ) ) )
= $true )
| ( ( irel @ SV20 @ SV62 )
= $false )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(650,plain,
! [SV20: $i,SV118: $i,SV62: $i] :
( ( ( ~ ( irel @ SV62 @ SV118 )
| ( p18 @ SV118 ) )
= $true )
| ( ( p19 @ ( sK58_SY155 @ SV20 @ SV62 ) )
= $false )
| ( ( irel @ SV20 @ SV62 )
= $false )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(651,plain,
! [SV20: $i,SV119: $i,SV42: $i] :
( ( ( ~ ( irel @ SV42 @ SV119 )
| ( p18 @ SV119 ) )
= $true )
| ( ( irel @ SV42 @ ( sK38_SY115 @ SV20 @ SV42 ) )
= $true )
| ( ( irel @ SV20 @ SV42 )
= $false )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(652,plain,
! [SV20: $i,SV82: $i,SV42: $i] :
( ( ( ~ ( irel @ SV42 @ SV82 ) )
= $true )
| ( ( p18 @ SV82 )
= $true )
| ( ( p19 @ ( sK38_SY115 @ SV20 @ SV42 ) )
= $false )
| ( ( irel @ SV20 @ SV42 )
= $false )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(653,plain,
! [SV21: $i,SV63: $i] :
( ( ( irel @ SV63 @ ( sK59_SY157 @ SV21 @ SV63 ) )
= $true )
| ( ( ! [SY158: $i] :
( ~ ( irel @ SV63 @ SY158 )
| ( p9 @ SY158 ) ) )
= $true )
| ( ( irel @ SV21 @ SV63 )
= $false )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(654,plain,
! [SV21: $i,SV120: $i,SV63: $i] :
( ( ( ~ ( irel @ SV63 @ SV120 )
| ( p9 @ SV120 ) )
= $true )
| ( ( p10 @ ( sK59_SY157 @ SV21 @ SV63 ) )
= $false )
| ( ( irel @ SV21 @ SV63 )
= $false )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(655,plain,
! [SV21: $i,SV121: $i,SV43: $i] :
( ( ( ~ ( irel @ SV43 @ SV121 )
| ( p9 @ SV121 ) )
= $true )
| ( ( irel @ SV43 @ ( sK39_SY117 @ SV21 @ SV43 ) )
= $true )
| ( ( irel @ SV21 @ SV43 )
= $false )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(656,plain,
! [SV21: $i,SV83: $i,SV43: $i] :
( ( ( ~ ( irel @ SV43 @ SV83 ) )
= $true )
| ( ( p9 @ SV83 )
= $true )
| ( ( p10 @ ( sK39_SY117 @ SV21 @ SV43 ) )
= $false )
| ( ( irel @ SV21 @ SV43 )
= $false )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(657,plain,
! [SV22: $i,SV64: $i] :
( ( ( irel @ SV64 @ ( sK60_SY159 @ SV22 @ SV64 ) )
= $true )
| ( ( ! [SY160: $i] :
( ~ ( irel @ SV64 @ SY160 )
| ( p19 @ SY160 ) ) )
= $true )
| ( ( irel @ SV22 @ SV64 )
= $false )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(658,plain,
! [SV22: $i,SV122: $i,SV64: $i] :
( ( ( ~ ( irel @ SV64 @ SV122 )
| ( p19 @ SV122 ) )
= $true )
| ( ( p20 @ ( sK60_SY159 @ SV22 @ SV64 ) )
= $false )
| ( ( irel @ SV22 @ SV64 )
= $false )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(659,plain,
! [SV22: $i,SV123: $i,SV44: $i] :
( ( ( ~ ( irel @ SV44 @ SV123 )
| ( p19 @ SV123 ) )
= $true )
| ( ( irel @ SV44 @ ( sK40_SY119 @ SV22 @ SV44 ) )
= $true )
| ( ( irel @ SV22 @ SV44 )
= $false )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(660,plain,
! [SV22: $i,SV84: $i,SV44: $i] :
( ( ( ~ ( irel @ SV44 @ SV84 ) )
= $true )
| ( ( p19 @ SV84 )
= $true )
| ( ( p20 @ ( sK40_SY119 @ SV22 @ SV44 ) )
= $false )
| ( ( irel @ SV22 @ SV44 )
= $false )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(661,plain,
! [SV23: $i,SV65: $i] :
( ( ( irel @ SV65 @ ( sK61_SY161 @ SV23 @ SV65 ) )
= $true )
| ( ( ! [SY162: $i] :
( ~ ( irel @ SV65 @ SY162 )
| ( p1 @ SY162 ) ) )
= $true )
| ( ( irel @ SV23 @ SV65 )
= $false )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(662,plain,
! [SV23: $i,SV124: $i,SV65: $i] :
( ( ( ~ ( irel @ SV65 @ SV124 )
| ( p1 @ SV124 ) )
= $true )
| ( ( p2 @ ( sK61_SY161 @ SV23 @ SV65 ) )
= $false )
| ( ( irel @ SV23 @ SV65 )
= $false )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(663,plain,
! [SV23: $i,SV125: $i,SV45: $i] :
( ( ( ~ ( irel @ SV45 @ SV125 )
| ( p1 @ SV125 ) )
= $true )
| ( ( irel @ SV45 @ ( sK41_SY121 @ SV23 @ SV45 ) )
= $true )
| ( ( irel @ SV23 @ SV45 )
= $false )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(664,plain,
! [SV23: $i,SV85: $i,SV45: $i] :
( ( ( ~ ( irel @ SV45 @ SV85 ) )
= $true )
| ( ( p1 @ SV85 )
= $true )
| ( ( p2 @ ( sK41_SY121 @ SV23 @ SV45 ) )
= $false )
| ( ( irel @ SV23 @ SV45 )
= $false )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(665,plain,
! [SV3: $i,SV126: $i,SV46: $i] :
( ( ( ~ ( irel @ SV46 @ SV126 )
| ( p12 @ SV126 ) )
= $true )
| ( ( irel @ SV46 @ ( sK42_SY123 @ SV3 @ SV46 ) )
= $true )
| ( ( irel @ SV3 @ SV46 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(666,plain,
! [SV3: $i,SV86: $i,SV46: $i] :
( ( ( ~ ( irel @ SV46 @ SV86 ) )
= $true )
| ( ( p12 @ SV86 )
= $true )
| ( ( p13 @ ( sK42_SY123 @ SV3 @ SV46 ) )
= $false )
| ( ( irel @ SV3 @ SV46 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(667,plain,
! [SV3: $i,SV87: $i,SV26: $i] :
( ( ( ~ ( irel @ SV26 @ SV87 ) )
= $true )
| ( ( p12 @ SV87 )
= $true )
| ( ( irel @ SV26 @ ( sK22_SY83 @ SV3 @ SV26 ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(668,plain,
! [SV3: $i,SV66: $i,SV26: $i] :
( ( ( irel @ SV26 @ SV66 )
= $false )
| ( ( p12 @ SV66 )
= $true )
| ( ( p13 @ ( sK22_SY83 @ SV3 @ SV26 ) )
= $false )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(669,plain,
! [SV4: $i,SV127: $i,SV47: $i] :
( ( ( ~ ( irel @ SV47 @ SV127 )
| ( p4 @ SV127 ) )
= $true )
| ( ( irel @ SV47 @ ( sK43_SY125 @ SV4 @ SV47 ) )
= $true )
| ( ( irel @ SV4 @ SV47 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(670,plain,
! [SV4: $i,SV88: $i,SV47: $i] :
( ( ( ~ ( irel @ SV47 @ SV88 ) )
= $true )
| ( ( p4 @ SV88 )
= $true )
| ( ( p5 @ ( sK43_SY125 @ SV4 @ SV47 ) )
= $false )
| ( ( irel @ SV4 @ SV47 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(671,plain,
! [SV4: $i,SV89: $i,SV27: $i] :
( ( ( ~ ( irel @ SV27 @ SV89 ) )
= $true )
| ( ( p4 @ SV89 )
= $true )
| ( ( irel @ SV27 @ ( sK23_SY85 @ SV4 @ SV27 ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(672,plain,
! [SV4: $i,SV67: $i,SV27: $i] :
( ( ( irel @ SV27 @ SV67 )
= $false )
| ( ( p4 @ SV67 )
= $true )
| ( ( p5 @ ( sK23_SY85 @ SV4 @ SV27 ) )
= $false )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(673,plain,
! [SV5: $i,SV128: $i,SV48: $i] :
( ( ( ~ ( irel @ SV48 @ SV128 )
| ( p8 @ SV128 ) )
= $true )
| ( ( irel @ SV48 @ ( sK44_SY127 @ SV5 @ SV48 ) )
= $true )
| ( ( irel @ SV5 @ SV48 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(674,plain,
! [SV5: $i,SV90: $i,SV48: $i] :
( ( ( ~ ( irel @ SV48 @ SV90 ) )
= $true )
| ( ( p8 @ SV90 )
= $true )
| ( ( p9 @ ( sK44_SY127 @ SV5 @ SV48 ) )
= $false )
| ( ( irel @ SV5 @ SV48 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[594]) ).
thf(675,plain,
! [SV5: $i,SV91: $i,SV28: $i] :
( ( ( ~ ( irel @ SV28 @ SV91 ) )
= $true )
| ( ( p8 @ SV91 )
= $true )
| ( ( irel @ SV28 @ ( sK24_SY87 @ SV5 @ SV28 ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(676,plain,
! [SV5: $i,SV68: $i,SV28: $i] :
( ( ( irel @ SV28 @ SV68 )
= $false )
| ( ( p8 @ SV68 )
= $true )
| ( ( p9 @ ( sK24_SY87 @ SV5 @ SV28 ) )
= $false )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(677,plain,
! [SV6: $i,SV129: $i,SV49: $i] :
( ( ( ~ ( irel @ SV49 @ SV129 )
| ( p15 @ SV129 ) )
= $true )
| ( ( irel @ SV49 @ ( sK45_SY129 @ SV6 @ SV49 ) )
= $true )
| ( ( irel @ SV6 @ SV49 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(678,plain,
! [SV6: $i,SV92: $i,SV49: $i] :
( ( ( ~ ( irel @ SV49 @ SV92 ) )
= $true )
| ( ( p15 @ SV92 )
= $true )
| ( ( p16 @ ( sK45_SY129 @ SV6 @ SV49 ) )
= $false )
| ( ( irel @ SV6 @ SV49 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(679,plain,
! [SV6: $i,SV93: $i,SV29: $i] :
( ( ( ~ ( irel @ SV29 @ SV93 ) )
= $true )
| ( ( p15 @ SV93 )
= $true )
| ( ( irel @ SV29 @ ( sK25_SY89 @ SV6 @ SV29 ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(680,plain,
! [SV6: $i,SV69: $i,SV29: $i] :
( ( ( irel @ SV29 @ SV69 )
= $false )
| ( ( p15 @ SV69 )
= $true )
| ( ( p16 @ ( sK25_SY89 @ SV6 @ SV29 ) )
= $false )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(681,plain,
! [SV7: $i,SV130: $i,SV50: $i] :
( ( ( ~ ( irel @ SV50 @ SV130 )
| ( p11 @ SV130 ) )
= $true )
| ( ( irel @ SV50 @ ( sK46_SY131 @ SV7 @ SV50 ) )
= $true )
| ( ( irel @ SV7 @ SV50 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(682,plain,
! [SV7: $i,SV94: $i,SV50: $i] :
( ( ( ~ ( irel @ SV50 @ SV94 ) )
= $true )
| ( ( p11 @ SV94 )
= $true )
| ( ( p12 @ ( sK46_SY131 @ SV7 @ SV50 ) )
= $false )
| ( ( irel @ SV7 @ SV50 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(683,plain,
! [SV7: $i,SV95: $i,SV30: $i] :
( ( ( ~ ( irel @ SV30 @ SV95 ) )
= $true )
| ( ( p11 @ SV95 )
= $true )
| ( ( irel @ SV30 @ ( sK26_SY91 @ SV7 @ SV30 ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(684,plain,
! [SV7: $i,SV70: $i,SV30: $i] :
( ( ( irel @ SV30 @ SV70 )
= $false )
| ( ( p11 @ SV70 )
= $true )
| ( ( p12 @ ( sK26_SY91 @ SV7 @ SV30 ) )
= $false )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(685,plain,
! [SV8: $i,SV131: $i,SV51: $i] :
( ( ( ~ ( irel @ SV51 @ SV131 )
| ( p10 @ SV131 ) )
= $true )
| ( ( irel @ SV51 @ ( sK47_SY133 @ SV8 @ SV51 ) )
= $true )
| ( ( irel @ SV8 @ SV51 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(686,plain,
! [SV8: $i,SV96: $i,SV51: $i] :
( ( ( ~ ( irel @ SV51 @ SV96 ) )
= $true )
| ( ( p10 @ SV96 )
= $true )
| ( ( p11 @ ( sK47_SY133 @ SV8 @ SV51 ) )
= $false )
| ( ( irel @ SV8 @ SV51 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(687,plain,
! [SV8: $i,SV97: $i,SV31: $i] :
( ( ( ~ ( irel @ SV31 @ SV97 ) )
= $true )
| ( ( p10 @ SV97 )
= $true )
| ( ( irel @ SV31 @ ( sK27_SY93 @ SV8 @ SV31 ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(688,plain,
! [SV8: $i,SV71: $i,SV31: $i] :
( ( ( irel @ SV31 @ SV71 )
= $false )
| ( ( p10 @ SV71 )
= $true )
| ( ( p11 @ ( sK27_SY93 @ SV8 @ SV31 ) )
= $false )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(689,plain,
! [SV9: $i,SV132: $i,SV52: $i] :
( ( ( ~ ( irel @ SV52 @ SV132 )
| ( p5 @ SV132 ) )
= $true )
| ( ( irel @ SV52 @ ( sK48_SY135 @ SV9 @ SV52 ) )
= $true )
| ( ( irel @ SV9 @ SV52 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(690,plain,
! [SV9: $i,SV98: $i,SV52: $i] :
( ( ( ~ ( irel @ SV52 @ SV98 ) )
= $true )
| ( ( p5 @ SV98 )
= $true )
| ( ( p6 @ ( sK48_SY135 @ SV9 @ SV52 ) )
= $false )
| ( ( irel @ SV9 @ SV52 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[610]) ).
thf(691,plain,
! [SV9: $i,SV99: $i,SV32: $i] :
( ( ( ~ ( irel @ SV32 @ SV99 ) )
= $true )
| ( ( p5 @ SV99 )
= $true )
| ( ( irel @ SV32 @ ( sK28_SY95 @ SV9 @ SV32 ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(692,plain,
! [SV9: $i,SV72: $i,SV32: $i] :
( ( ( irel @ SV32 @ SV72 )
= $false )
| ( ( p5 @ SV72 )
= $true )
| ( ( p6 @ ( sK28_SY95 @ SV9 @ SV32 ) )
= $false )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(693,plain,
! [SV10: $i,SV133: $i,SV53: $i] :
( ( ( ~ ( irel @ SV53 @ SV133 )
| ( p6 @ SV133 ) )
= $true )
| ( ( irel @ SV53 @ ( sK49_SY137 @ SV10 @ SV53 ) )
= $true )
| ( ( irel @ SV10 @ SV53 )
= $false )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(694,plain,
! [SV10: $i,SV100: $i,SV53: $i] :
( ( ( ~ ( irel @ SV53 @ SV100 ) )
= $true )
| ( ( p6 @ SV100 )
= $true )
| ( ( p7 @ ( sK49_SY137 @ SV10 @ SV53 ) )
= $false )
| ( ( irel @ SV10 @ SV53 )
= $false )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(695,plain,
! [SV10: $i,SV101: $i,SV33: $i] :
( ( ( ~ ( irel @ SV33 @ SV101 ) )
= $true )
| ( ( p6 @ SV101 )
= $true )
| ( ( irel @ SV33 @ ( sK29_SY97 @ SV10 @ SV33 ) )
= $true )
| ( ( irel @ SV10 @ SV33 )
= $false )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[615]) ).
thf(696,plain,
! [SV10: $i,SV73: $i,SV33: $i] :
( ( ( irel @ SV33 @ SV73 )
= $false )
| ( ( p6 @ SV73 )
= $true )
| ( ( p7 @ ( sK29_SY97 @ SV10 @ SV33 ) )
= $false )
| ( ( irel @ SV10 @ SV33 )
= $false )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(697,plain,
! [SV11: $i,SV134: $i,SV54: $i] :
( ( ( ~ ( irel @ SV54 @ SV134 )
| ( p2 @ SV134 ) )
= $true )
| ( ( irel @ SV54 @ ( sK50_SY139 @ SV11 @ SV54 ) )
= $true )
| ( ( irel @ SV11 @ SV54 )
= $false )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(698,plain,
! [SV11: $i,SV102: $i,SV54: $i] :
( ( ( ~ ( irel @ SV54 @ SV102 ) )
= $true )
| ( ( p2 @ SV102 )
= $true )
| ( ( p3 @ ( sK50_SY139 @ SV11 @ SV54 ) )
= $false )
| ( ( irel @ SV11 @ SV54 )
= $false )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(699,plain,
! [SV11: $i,SV103: $i,SV34: $i] :
( ( ( ~ ( irel @ SV34 @ SV103 ) )
= $true )
| ( ( p2 @ SV103 )
= $true )
| ( ( irel @ SV34 @ ( sK30_SY99 @ SV11 @ SV34 ) )
= $true )
| ( ( irel @ SV11 @ SV34 )
= $false )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(700,plain,
! [SV11: $i,SV74: $i,SV34: $i] :
( ( ( irel @ SV34 @ SV74 )
= $false )
| ( ( p2 @ SV74 )
= $true )
| ( ( p3 @ ( sK30_SY99 @ SV11 @ SV34 ) )
= $false )
| ( ( irel @ SV11 @ SV34 )
= $false )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(701,plain,
! [SV12: $i,SV135: $i,SV55: $i] :
( ( ( ~ ( irel @ SV55 @ SV135 )
| ( p13 @ SV135 ) )
= $true )
| ( ( irel @ SV55 @ ( sK51_SY141 @ SV12 @ SV55 ) )
= $true )
| ( ( irel @ SV12 @ SV55 )
= $false )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(702,plain,
! [SV12: $i,SV104: $i,SV55: $i] :
( ( ( ~ ( irel @ SV55 @ SV104 ) )
= $true )
| ( ( p13 @ SV104 )
= $true )
| ( ( p14 @ ( sK51_SY141 @ SV12 @ SV55 ) )
= $false )
| ( ( irel @ SV12 @ SV55 )
= $false )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(703,plain,
! [SV12: $i,SV105: $i,SV35: $i] :
( ( ( ~ ( irel @ SV35 @ SV105 ) )
= $true )
| ( ( p13 @ SV105 )
= $true )
| ( ( irel @ SV35 @ ( sK31_SY101 @ SV12 @ SV35 ) )
= $true )
| ( ( irel @ SV12 @ SV35 )
= $false )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(704,plain,
! [SV12: $i,SV75: $i,SV35: $i] :
( ( ( irel @ SV35 @ SV75 )
= $false )
| ( ( p13 @ SV75 )
= $true )
| ( ( p14 @ ( sK31_SY101 @ SV12 @ SV35 ) )
= $false )
| ( ( irel @ SV12 @ SV35 )
= $false )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(705,plain,
! [SV13: $i,SV136: $i,SV56: $i] :
( ( ( ~ ( irel @ SV56 @ SV136 )
| ( p16 @ SV136 ) )
= $true )
| ( ( irel @ SV56 @ ( sK52_SY143 @ SV13 @ SV56 ) )
= $true )
| ( ( irel @ SV13 @ SV56 )
= $false )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(706,plain,
! [SV13: $i,SV106: $i,SV56: $i] :
( ( ( ~ ( irel @ SV56 @ SV106 ) )
= $true )
| ( ( p16 @ SV106 )
= $true )
| ( ( p17 @ ( sK52_SY143 @ SV13 @ SV56 ) )
= $false )
| ( ( irel @ SV13 @ SV56 )
= $false )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(707,plain,
! [SV13: $i,SV107: $i,SV36: $i] :
( ( ( ~ ( irel @ SV36 @ SV107 ) )
= $true )
| ( ( p16 @ SV107 )
= $true )
| ( ( irel @ SV36 @ ( sK32_SY103 @ SV13 @ SV36 ) )
= $true )
| ( ( irel @ SV13 @ SV36 )
= $false )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(708,plain,
! [SV13: $i,SV76: $i,SV36: $i] :
( ( ( irel @ SV36 @ SV76 )
= $false )
| ( ( p16 @ SV76 )
= $true )
| ( ( p17 @ ( sK32_SY103 @ SV13 @ SV36 ) )
= $false )
| ( ( irel @ SV13 @ SV36 )
= $false )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(709,plain,
! [SV14: $i,SV137: $i,SV57: $i] :
( ( ( ~ ( irel @ SV57 @ SV137 )
| ( p14 @ SV137 ) )
= $true )
| ( ( irel @ SV57 @ ( sK53_SY145 @ SV14 @ SV57 ) )
= $true )
| ( ( irel @ SV14 @ SV57 )
= $false )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(710,plain,
! [SV14: $i,SV108: $i,SV57: $i] :
( ( ( ~ ( irel @ SV57 @ SV108 ) )
= $true )
| ( ( p14 @ SV108 )
= $true )
| ( ( p15 @ ( sK53_SY145 @ SV14 @ SV57 ) )
= $false )
| ( ( irel @ SV14 @ SV57 )
= $false )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(711,plain,
! [SV14: $i,SV109: $i,SV37: $i] :
( ( ( ~ ( irel @ SV37 @ SV109 ) )
= $true )
| ( ( p14 @ SV109 )
= $true )
| ( ( irel @ SV37 @ ( sK33_SY105 @ SV14 @ SV37 ) )
= $true )
| ( ( irel @ SV14 @ SV37 )
= $false )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(712,plain,
! [SV14: $i,SV77: $i,SV37: $i] :
( ( ( irel @ SV37 @ SV77 )
= $false )
| ( ( p14 @ SV77 )
= $true )
| ( ( p15 @ ( sK33_SY105 @ SV14 @ SV37 ) )
= $false )
| ( ( irel @ SV14 @ SV37 )
= $false )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(713,plain,
! [SV15: $i,SV138: $i,SV58: $i] :
( ( ( ~ ( irel @ SV58 @ SV138 )
| ( p17 @ SV138 ) )
= $true )
| ( ( irel @ SV58 @ ( sK54_SY147 @ SV15 @ SV58 ) )
= $true )
| ( ( irel @ SV15 @ SV58 )
= $false )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(714,plain,
! [SV15: $i,SV110: $i,SV58: $i] :
( ( ( ~ ( irel @ SV58 @ SV110 ) )
= $true )
| ( ( p17 @ SV110 )
= $true )
| ( ( p18 @ ( sK54_SY147 @ SV15 @ SV58 ) )
= $false )
| ( ( irel @ SV15 @ SV58 )
= $false )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(715,plain,
! [SV15: $i,SV111: $i,SV38: $i] :
( ( ( ~ ( irel @ SV38 @ SV111 ) )
= $true )
| ( ( p17 @ SV111 )
= $true )
| ( ( irel @ SV38 @ ( sK34_SY107 @ SV15 @ SV38 ) )
= $true )
| ( ( irel @ SV15 @ SV38 )
= $false )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(716,plain,
! [SV15: $i,SV78: $i,SV38: $i] :
( ( ( irel @ SV38 @ SV78 )
= $false )
| ( ( p17 @ SV78 )
= $true )
| ( ( p18 @ ( sK34_SY107 @ SV15 @ SV38 ) )
= $false )
| ( ( irel @ SV15 @ SV38 )
= $false )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(717,plain,
! [SV16: $i,SV139: $i,SV59: $i] :
( ( ( ~ ( irel @ SV59 @ SV139 )
| ( p3 @ SV139 ) )
= $true )
| ( ( irel @ SV59 @ ( sK55_SY149 @ SV16 @ SV59 ) )
= $true )
| ( ( irel @ SV16 @ SV59 )
= $false )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(718,plain,
! [SV16: $i,SV112: $i,SV59: $i] :
( ( ( ~ ( irel @ SV59 @ SV112 ) )
= $true )
| ( ( p3 @ SV112 )
= $true )
| ( ( p4 @ ( sK55_SY149 @ SV16 @ SV59 ) )
= $false )
| ( ( irel @ SV16 @ SV59 )
= $false )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(719,plain,
! [SV16: $i,SV113: $i,SV39: $i] :
( ( ( ~ ( irel @ SV39 @ SV113 ) )
= $true )
| ( ( p3 @ SV113 )
= $true )
| ( ( irel @ SV39 @ ( sK35_SY109 @ SV16 @ SV39 ) )
= $true )
| ( ( irel @ SV16 @ SV39 )
= $false )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(720,plain,
! [SV16: $i,SV79: $i,SV39: $i] :
( ( ( irel @ SV39 @ SV79 )
= $false )
| ( ( p3 @ SV79 )
= $true )
| ( ( p4 @ ( sK35_SY109 @ SV16 @ SV39 ) )
= $false )
| ( ( irel @ SV16 @ SV39 )
= $false )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(721,plain,
! [SV17: $i,SV140: $i,SV60: $i] :
( ( ( ~ ( irel @ SV60 @ SV140 )
| ( p0 @ SV140 ) )
= $true )
| ( ( irel @ SV60 @ ( sK56_SY151 @ SV17 @ SV60 ) )
= $true )
| ( ( irel @ SV17 @ SV60 )
= $false )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(722,plain,
! [SV17: $i,SV114: $i,SV60: $i] :
( ( ( ~ ( irel @ SV60 @ SV114 ) )
= $true )
| ( ( p0 @ SV114 )
= $true )
| ( ( p1 @ ( sK56_SY151 @ SV17 @ SV60 ) )
= $false )
| ( ( irel @ SV17 @ SV60 )
= $false )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(723,plain,
! [SV17: $i,SV115: $i,SV40: $i] :
( ( ( ~ ( irel @ SV40 @ SV115 ) )
= $true )
| ( ( p0 @ SV115 )
= $true )
| ( ( irel @ SV40 @ ( sK36_SY111 @ SV17 @ SV40 ) )
= $true )
| ( ( irel @ SV17 @ SV40 )
= $false )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(724,plain,
! [SV17: $i,SV80: $i,SV40: $i] :
( ( ( irel @ SV40 @ SV80 )
= $false )
| ( ( p0 @ SV80 )
= $true )
| ( ( p1 @ ( sK36_SY111 @ SV17 @ SV40 ) )
= $false )
| ( ( irel @ SV17 @ SV40 )
= $false )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(725,plain,
! [SV18: $i,SV141: $i,SV61: $i] :
( ( ( ~ ( irel @ SV61 @ SV141 )
| ( p7 @ SV141 ) )
= $true )
| ( ( irel @ SV61 @ ( sK57_SY153 @ SV18 @ SV61 ) )
= $true )
| ( ( irel @ SV18 @ SV61 )
= $false )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(726,plain,
! [SV18: $i,SV116: $i,SV61: $i] :
( ( ( ~ ( irel @ SV61 @ SV116 ) )
= $true )
| ( ( p7 @ SV116 )
= $true )
| ( ( p8 @ ( sK57_SY153 @ SV18 @ SV61 ) )
= $false )
| ( ( irel @ SV18 @ SV61 )
= $false )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[646]) ).
thf(727,plain,
! [SV18: $i,SV117: $i,SV41: $i] :
( ( ( ~ ( irel @ SV41 @ SV117 ) )
= $true )
| ( ( p7 @ SV117 )
= $true )
| ( ( irel @ SV41 @ ( sK37_SY113 @ SV18 @ SV41 ) )
= $true )
| ( ( irel @ SV18 @ SV41 )
= $false )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(728,plain,
! [SV18: $i,SV81: $i,SV41: $i] :
( ( ( irel @ SV41 @ SV81 )
= $false )
| ( ( p7 @ SV81 )
= $true )
| ( ( p8 @ ( sK37_SY113 @ SV18 @ SV41 ) )
= $false )
| ( ( irel @ SV18 @ SV41 )
= $false )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(729,plain,
! [SV20: $i,SV142: $i,SV62: $i] :
( ( ( ~ ( irel @ SV62 @ SV142 )
| ( p18 @ SV142 ) )
= $true )
| ( ( irel @ SV62 @ ( sK58_SY155 @ SV20 @ SV62 ) )
= $true )
| ( ( irel @ SV20 @ SV62 )
= $false )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(730,plain,
! [SV20: $i,SV118: $i,SV62: $i] :
( ( ( ~ ( irel @ SV62 @ SV118 ) )
= $true )
| ( ( p18 @ SV118 )
= $true )
| ( ( p19 @ ( sK58_SY155 @ SV20 @ SV62 ) )
= $false )
| ( ( irel @ SV20 @ SV62 )
= $false )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(731,plain,
! [SV20: $i,SV119: $i,SV42: $i] :
( ( ( ~ ( irel @ SV42 @ SV119 ) )
= $true )
| ( ( p18 @ SV119 )
= $true )
| ( ( irel @ SV42 @ ( sK38_SY115 @ SV20 @ SV42 ) )
= $true )
| ( ( irel @ SV20 @ SV42 )
= $false )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(732,plain,
! [SV20: $i,SV82: $i,SV42: $i] :
( ( ( irel @ SV42 @ SV82 )
= $false )
| ( ( p18 @ SV82 )
= $true )
| ( ( p19 @ ( sK38_SY115 @ SV20 @ SV42 ) )
= $false )
| ( ( irel @ SV20 @ SV42 )
= $false )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(733,plain,
! [SV21: $i,SV143: $i,SV63: $i] :
( ( ( ~ ( irel @ SV63 @ SV143 )
| ( p9 @ SV143 ) )
= $true )
| ( ( irel @ SV63 @ ( sK59_SY157 @ SV21 @ SV63 ) )
= $true )
| ( ( irel @ SV21 @ SV63 )
= $false )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(734,plain,
! [SV21: $i,SV120: $i,SV63: $i] :
( ( ( ~ ( irel @ SV63 @ SV120 ) )
= $true )
| ( ( p9 @ SV120 )
= $true )
| ( ( p10 @ ( sK59_SY157 @ SV21 @ SV63 ) )
= $false )
| ( ( irel @ SV21 @ SV63 )
= $false )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(735,plain,
! [SV21: $i,SV121: $i,SV43: $i] :
( ( ( ~ ( irel @ SV43 @ SV121 ) )
= $true )
| ( ( p9 @ SV121 )
= $true )
| ( ( irel @ SV43 @ ( sK39_SY117 @ SV21 @ SV43 ) )
= $true )
| ( ( irel @ SV21 @ SV43 )
= $false )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(736,plain,
! [SV21: $i,SV83: $i,SV43: $i] :
( ( ( irel @ SV43 @ SV83 )
= $false )
| ( ( p9 @ SV83 )
= $true )
| ( ( p10 @ ( sK39_SY117 @ SV21 @ SV43 ) )
= $false )
| ( ( irel @ SV21 @ SV43 )
= $false )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(737,plain,
! [SV22: $i,SV144: $i,SV64: $i] :
( ( ( ~ ( irel @ SV64 @ SV144 )
| ( p19 @ SV144 ) )
= $true )
| ( ( irel @ SV64 @ ( sK60_SY159 @ SV22 @ SV64 ) )
= $true )
| ( ( irel @ SV22 @ SV64 )
= $false )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(738,plain,
! [SV22: $i,SV122: $i,SV64: $i] :
( ( ( ~ ( irel @ SV64 @ SV122 ) )
= $true )
| ( ( p19 @ SV122 )
= $true )
| ( ( p20 @ ( sK60_SY159 @ SV22 @ SV64 ) )
= $false )
| ( ( irel @ SV22 @ SV64 )
= $false )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[658]) ).
thf(739,plain,
! [SV22: $i,SV123: $i,SV44: $i] :
( ( ( ~ ( irel @ SV44 @ SV123 ) )
= $true )
| ( ( p19 @ SV123 )
= $true )
| ( ( irel @ SV44 @ ( sK40_SY119 @ SV22 @ SV44 ) )
= $true )
| ( ( irel @ SV22 @ SV44 )
= $false )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(740,plain,
! [SV22: $i,SV84: $i,SV44: $i] :
( ( ( irel @ SV44 @ SV84 )
= $false )
| ( ( p19 @ SV84 )
= $true )
| ( ( p20 @ ( sK40_SY119 @ SV22 @ SV44 ) )
= $false )
| ( ( irel @ SV22 @ SV44 )
= $false )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(741,plain,
! [SV23: $i,SV145: $i,SV65: $i] :
( ( ( ~ ( irel @ SV65 @ SV145 )
| ( p1 @ SV145 ) )
= $true )
| ( ( irel @ SV65 @ ( sK61_SY161 @ SV23 @ SV65 ) )
= $true )
| ( ( irel @ SV23 @ SV65 )
= $false )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(742,plain,
! [SV23: $i,SV124: $i,SV65: $i] :
( ( ( ~ ( irel @ SV65 @ SV124 ) )
= $true )
| ( ( p1 @ SV124 )
= $true )
| ( ( p2 @ ( sK61_SY161 @ SV23 @ SV65 ) )
= $false )
| ( ( irel @ SV23 @ SV65 )
= $false )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(743,plain,
! [SV23: $i,SV125: $i,SV45: $i] :
( ( ( ~ ( irel @ SV45 @ SV125 ) )
= $true )
| ( ( p1 @ SV125 )
= $true )
| ( ( irel @ SV45 @ ( sK41_SY121 @ SV23 @ SV45 ) )
= $true )
| ( ( irel @ SV23 @ SV45 )
= $false )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(744,plain,
! [SV23: $i,SV85: $i,SV45: $i] :
( ( ( irel @ SV45 @ SV85 )
= $false )
| ( ( p1 @ SV85 )
= $true )
| ( ( p2 @ ( sK41_SY121 @ SV23 @ SV45 ) )
= $false )
| ( ( irel @ SV23 @ SV45 )
= $false )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(745,plain,
! [SV3: $i,SV126: $i,SV46: $i] :
( ( ( ~ ( irel @ SV46 @ SV126 ) )
= $true )
| ( ( p12 @ SV126 )
= $true )
| ( ( irel @ SV46 @ ( sK42_SY123 @ SV3 @ SV46 ) )
= $true )
| ( ( irel @ SV3 @ SV46 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(746,plain,
! [SV3: $i,SV86: $i,SV46: $i] :
( ( ( irel @ SV46 @ SV86 )
= $false )
| ( ( p12 @ SV86 )
= $true )
| ( ( p13 @ ( sK42_SY123 @ SV3 @ SV46 ) )
= $false )
| ( ( irel @ SV3 @ SV46 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(747,plain,
! [SV3: $i,SV87: $i,SV26: $i] :
( ( ( irel @ SV26 @ SV87 )
= $false )
| ( ( p12 @ SV87 )
= $true )
| ( ( irel @ SV26 @ ( sK22_SY83 @ SV3 @ SV26 ) )
= $true )
| ( ( irel @ SV3 @ SV26 )
= $false )
| ( ( p13 @ ( sK2_SY2 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(748,plain,
! [SV4: $i,SV127: $i,SV47: $i] :
( ( ( ~ ( irel @ SV47 @ SV127 ) )
= $true )
| ( ( p4 @ SV127 )
= $true )
| ( ( irel @ SV47 @ ( sK43_SY125 @ SV4 @ SV47 ) )
= $true )
| ( ( irel @ SV4 @ SV47 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(749,plain,
! [SV4: $i,SV88: $i,SV47: $i] :
( ( ( irel @ SV47 @ SV88 )
= $false )
| ( ( p4 @ SV88 )
= $true )
| ( ( p5 @ ( sK43_SY125 @ SV4 @ SV47 ) )
= $false )
| ( ( irel @ SV4 @ SV47 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(750,plain,
! [SV4: $i,SV89: $i,SV27: $i] :
( ( ( irel @ SV27 @ SV89 )
= $false )
| ( ( p4 @ SV89 )
= $true )
| ( ( irel @ SV27 @ ( sK23_SY85 @ SV4 @ SV27 ) )
= $true )
| ( ( irel @ SV4 @ SV27 )
= $false )
| ( ( p5 @ ( sK3_SY6 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(751,plain,
! [SV5: $i,SV128: $i,SV48: $i] :
( ( ( ~ ( irel @ SV48 @ SV128 ) )
= $true )
| ( ( p8 @ SV128 )
= $true )
| ( ( irel @ SV48 @ ( sK44_SY127 @ SV5 @ SV48 ) )
= $true )
| ( ( irel @ SV5 @ SV48 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(752,plain,
! [SV5: $i,SV90: $i,SV48: $i] :
( ( ( irel @ SV48 @ SV90 )
= $false )
| ( ( p8 @ SV90 )
= $true )
| ( ( p9 @ ( sK44_SY127 @ SV5 @ SV48 ) )
= $false )
| ( ( irel @ SV5 @ SV48 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(753,plain,
! [SV5: $i,SV91: $i,SV28: $i] :
( ( ( irel @ SV28 @ SV91 )
= $false )
| ( ( p8 @ SV91 )
= $true )
| ( ( irel @ SV28 @ ( sK24_SY87 @ SV5 @ SV28 ) )
= $true )
| ( ( irel @ SV5 @ SV28 )
= $false )
| ( ( p9 @ ( sK4_SY10 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(754,plain,
! [SV6: $i,SV129: $i,SV49: $i] :
( ( ( ~ ( irel @ SV49 @ SV129 ) )
= $true )
| ( ( p15 @ SV129 )
= $true )
| ( ( irel @ SV49 @ ( sK45_SY129 @ SV6 @ SV49 ) )
= $true )
| ( ( irel @ SV6 @ SV49 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(755,plain,
! [SV6: $i,SV92: $i,SV49: $i] :
( ( ( irel @ SV49 @ SV92 )
= $false )
| ( ( p15 @ SV92 )
= $true )
| ( ( p16 @ ( sK45_SY129 @ SV6 @ SV49 ) )
= $false )
| ( ( irel @ SV6 @ SV49 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(756,plain,
! [SV6: $i,SV93: $i,SV29: $i] :
( ( ( irel @ SV29 @ SV93 )
= $false )
| ( ( p15 @ SV93 )
= $true )
| ( ( irel @ SV29 @ ( sK25_SY89 @ SV6 @ SV29 ) )
= $true )
| ( ( irel @ SV6 @ SV29 )
= $false )
| ( ( p16 @ ( sK5_SY14 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(757,plain,
! [SV7: $i,SV130: $i,SV50: $i] :
( ( ( ~ ( irel @ SV50 @ SV130 ) )
= $true )
| ( ( p11 @ SV130 )
= $true )
| ( ( irel @ SV50 @ ( sK46_SY131 @ SV7 @ SV50 ) )
= $true )
| ( ( irel @ SV7 @ SV50 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(758,plain,
! [SV7: $i,SV94: $i,SV50: $i] :
( ( ( irel @ SV50 @ SV94 )
= $false )
| ( ( p11 @ SV94 )
= $true )
| ( ( p12 @ ( sK46_SY131 @ SV7 @ SV50 ) )
= $false )
| ( ( irel @ SV7 @ SV50 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(759,plain,
! [SV7: $i,SV95: $i,SV30: $i] :
( ( ( irel @ SV30 @ SV95 )
= $false )
| ( ( p11 @ SV95 )
= $true )
| ( ( irel @ SV30 @ ( sK26_SY91 @ SV7 @ SV30 ) )
= $true )
| ( ( irel @ SV7 @ SV30 )
= $false )
| ( ( p12 @ ( sK6_SY18 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(760,plain,
! [SV8: $i,SV131: $i,SV51: $i] :
( ( ( ~ ( irel @ SV51 @ SV131 ) )
= $true )
| ( ( p10 @ SV131 )
= $true )
| ( ( irel @ SV51 @ ( sK47_SY133 @ SV8 @ SV51 ) )
= $true )
| ( ( irel @ SV8 @ SV51 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(761,plain,
! [SV8: $i,SV96: $i,SV51: $i] :
( ( ( irel @ SV51 @ SV96 )
= $false )
| ( ( p10 @ SV96 )
= $true )
| ( ( p11 @ ( sK47_SY133 @ SV8 @ SV51 ) )
= $false )
| ( ( irel @ SV8 @ SV51 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(762,plain,
! [SV8: $i,SV97: $i,SV31: $i] :
( ( ( irel @ SV31 @ SV97 )
= $false )
| ( ( p10 @ SV97 )
= $true )
| ( ( irel @ SV31 @ ( sK27_SY93 @ SV8 @ SV31 ) )
= $true )
| ( ( irel @ SV8 @ SV31 )
= $false )
| ( ( p11 @ ( sK7_SY22 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(763,plain,
! [SV9: $i,SV132: $i,SV52: $i] :
( ( ( ~ ( irel @ SV52 @ SV132 ) )
= $true )
| ( ( p5 @ SV132 )
= $true )
| ( ( irel @ SV52 @ ( sK48_SY135 @ SV9 @ SV52 ) )
= $true )
| ( ( irel @ SV9 @ SV52 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(764,plain,
! [SV9: $i,SV98: $i,SV52: $i] :
( ( ( irel @ SV52 @ SV98 )
= $false )
| ( ( p5 @ SV98 )
= $true )
| ( ( p6 @ ( sK48_SY135 @ SV9 @ SV52 ) )
= $false )
| ( ( irel @ SV9 @ SV52 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(765,plain,
! [SV9: $i,SV99: $i,SV32: $i] :
( ( ( irel @ SV32 @ SV99 )
= $false )
| ( ( p5 @ SV99 )
= $true )
| ( ( irel @ SV32 @ ( sK28_SY95 @ SV9 @ SV32 ) )
= $true )
| ( ( irel @ SV9 @ SV32 )
= $false )
| ( ( p6 @ ( sK8_SY26 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(766,plain,
! [SV10: $i,SV133: $i,SV53: $i] :
( ( ( ~ ( irel @ SV53 @ SV133 ) )
= $true )
| ( ( p6 @ SV133 )
= $true )
| ( ( irel @ SV53 @ ( sK49_SY137 @ SV10 @ SV53 ) )
= $true )
| ( ( irel @ SV10 @ SV53 )
= $false )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[693]) ).
thf(767,plain,
! [SV10: $i,SV100: $i,SV53: $i] :
( ( ( irel @ SV53 @ SV100 )
= $false )
| ( ( p6 @ SV100 )
= $true )
| ( ( p7 @ ( sK49_SY137 @ SV10 @ SV53 ) )
= $false )
| ( ( irel @ SV10 @ SV53 )
= $false )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(768,plain,
! [SV10: $i,SV101: $i,SV33: $i] :
( ( ( irel @ SV33 @ SV101 )
= $false )
| ( ( p6 @ SV101 )
= $true )
| ( ( irel @ SV33 @ ( sK29_SY97 @ SV10 @ SV33 ) )
= $true )
| ( ( irel @ SV10 @ SV33 )
= $false )
| ( ( p7 @ ( sK9_SY30 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(769,plain,
! [SV11: $i,SV134: $i,SV54: $i] :
( ( ( ~ ( irel @ SV54 @ SV134 ) )
= $true )
| ( ( p2 @ SV134 )
= $true )
| ( ( irel @ SV54 @ ( sK50_SY139 @ SV11 @ SV54 ) )
= $true )
| ( ( irel @ SV11 @ SV54 )
= $false )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[697]) ).
thf(770,plain,
! [SV11: $i,SV102: $i,SV54: $i] :
( ( ( irel @ SV54 @ SV102 )
= $false )
| ( ( p2 @ SV102 )
= $true )
| ( ( p3 @ ( sK50_SY139 @ SV11 @ SV54 ) )
= $false )
| ( ( irel @ SV11 @ SV54 )
= $false )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(771,plain,
! [SV11: $i,SV103: $i,SV34: $i] :
( ( ( irel @ SV34 @ SV103 )
= $false )
| ( ( p2 @ SV103 )
= $true )
| ( ( irel @ SV34 @ ( sK30_SY99 @ SV11 @ SV34 ) )
= $true )
| ( ( irel @ SV11 @ SV34 )
= $false )
| ( ( p3 @ ( sK10_SY34 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(772,plain,
! [SV12: $i,SV135: $i,SV55: $i] :
( ( ( ~ ( irel @ SV55 @ SV135 ) )
= $true )
| ( ( p13 @ SV135 )
= $true )
| ( ( irel @ SV55 @ ( sK51_SY141 @ SV12 @ SV55 ) )
= $true )
| ( ( irel @ SV12 @ SV55 )
= $false )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(773,plain,
! [SV12: $i,SV104: $i,SV55: $i] :
( ( ( irel @ SV55 @ SV104 )
= $false )
| ( ( p13 @ SV104 )
= $true )
| ( ( p14 @ ( sK51_SY141 @ SV12 @ SV55 ) )
= $false )
| ( ( irel @ SV12 @ SV55 )
= $false )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(774,plain,
! [SV12: $i,SV105: $i,SV35: $i] :
( ( ( irel @ SV35 @ SV105 )
= $false )
| ( ( p13 @ SV105 )
= $true )
| ( ( irel @ SV35 @ ( sK31_SY101 @ SV12 @ SV35 ) )
= $true )
| ( ( irel @ SV12 @ SV35 )
= $false )
| ( ( p14 @ ( sK11_SY38 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(775,plain,
! [SV13: $i,SV136: $i,SV56: $i] :
( ( ( ~ ( irel @ SV56 @ SV136 ) )
= $true )
| ( ( p16 @ SV136 )
= $true )
| ( ( irel @ SV56 @ ( sK52_SY143 @ SV13 @ SV56 ) )
= $true )
| ( ( irel @ SV13 @ SV56 )
= $false )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(776,plain,
! [SV13: $i,SV106: $i,SV56: $i] :
( ( ( irel @ SV56 @ SV106 )
= $false )
| ( ( p16 @ SV106 )
= $true )
| ( ( p17 @ ( sK52_SY143 @ SV13 @ SV56 ) )
= $false )
| ( ( irel @ SV13 @ SV56 )
= $false )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(777,plain,
! [SV13: $i,SV107: $i,SV36: $i] :
( ( ( irel @ SV36 @ SV107 )
= $false )
| ( ( p16 @ SV107 )
= $true )
| ( ( irel @ SV36 @ ( sK32_SY103 @ SV13 @ SV36 ) )
= $true )
| ( ( irel @ SV13 @ SV36 )
= $false )
| ( ( p17 @ ( sK12_SY42 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(778,plain,
! [SV14: $i,SV137: $i,SV57: $i] :
( ( ( ~ ( irel @ SV57 @ SV137 ) )
= $true )
| ( ( p14 @ SV137 )
= $true )
| ( ( irel @ SV57 @ ( sK53_SY145 @ SV14 @ SV57 ) )
= $true )
| ( ( irel @ SV14 @ SV57 )
= $false )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(779,plain,
! [SV14: $i,SV108: $i,SV57: $i] :
( ( ( irel @ SV57 @ SV108 )
= $false )
| ( ( p14 @ SV108 )
= $true )
| ( ( p15 @ ( sK53_SY145 @ SV14 @ SV57 ) )
= $false )
| ( ( irel @ SV14 @ SV57 )
= $false )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(780,plain,
! [SV14: $i,SV109: $i,SV37: $i] :
( ( ( irel @ SV37 @ SV109 )
= $false )
| ( ( p14 @ SV109 )
= $true )
| ( ( irel @ SV37 @ ( sK33_SY105 @ SV14 @ SV37 ) )
= $true )
| ( ( irel @ SV14 @ SV37 )
= $false )
| ( ( p15 @ ( sK13_SY46 @ SV14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(781,plain,
! [SV15: $i,SV138: $i,SV58: $i] :
( ( ( ~ ( irel @ SV58 @ SV138 ) )
= $true )
| ( ( p17 @ SV138 )
= $true )
| ( ( irel @ SV58 @ ( sK54_SY147 @ SV15 @ SV58 ) )
= $true )
| ( ( irel @ SV15 @ SV58 )
= $false )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(782,plain,
! [SV15: $i,SV110: $i,SV58: $i] :
( ( ( irel @ SV58 @ SV110 )
= $false )
| ( ( p17 @ SV110 )
= $true )
| ( ( p18 @ ( sK54_SY147 @ SV15 @ SV58 ) )
= $false )
| ( ( irel @ SV15 @ SV58 )
= $false )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(783,plain,
! [SV15: $i,SV111: $i,SV38: $i] :
( ( ( irel @ SV38 @ SV111 )
= $false )
| ( ( p17 @ SV111 )
= $true )
| ( ( irel @ SV38 @ ( sK34_SY107 @ SV15 @ SV38 ) )
= $true )
| ( ( irel @ SV15 @ SV38 )
= $false )
| ( ( p18 @ ( sK14_SY50 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(784,plain,
! [SV16: $i,SV139: $i,SV59: $i] :
( ( ( ~ ( irel @ SV59 @ SV139 ) )
= $true )
| ( ( p3 @ SV139 )
= $true )
| ( ( irel @ SV59 @ ( sK55_SY149 @ SV16 @ SV59 ) )
= $true )
| ( ( irel @ SV16 @ SV59 )
= $false )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(785,plain,
! [SV16: $i,SV112: $i,SV59: $i] :
( ( ( irel @ SV59 @ SV112 )
= $false )
| ( ( p3 @ SV112 )
= $true )
| ( ( p4 @ ( sK55_SY149 @ SV16 @ SV59 ) )
= $false )
| ( ( irel @ SV16 @ SV59 )
= $false )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(786,plain,
! [SV16: $i,SV113: $i,SV39: $i] :
( ( ( irel @ SV39 @ SV113 )
= $false )
| ( ( p3 @ SV113 )
= $true )
| ( ( irel @ SV39 @ ( sK35_SY109 @ SV16 @ SV39 ) )
= $true )
| ( ( irel @ SV16 @ SV39 )
= $false )
| ( ( p4 @ ( sK15_SY54 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(787,plain,
! [SV17: $i,SV140: $i,SV60: $i] :
( ( ( ~ ( irel @ SV60 @ SV140 ) )
= $true )
| ( ( p0 @ SV140 )
= $true )
| ( ( irel @ SV60 @ ( sK56_SY151 @ SV17 @ SV60 ) )
= $true )
| ( ( irel @ SV17 @ SV60 )
= $false )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(788,plain,
! [SV17: $i,SV114: $i,SV60: $i] :
( ( ( irel @ SV60 @ SV114 )
= $false )
| ( ( p0 @ SV114 )
= $true )
| ( ( p1 @ ( sK56_SY151 @ SV17 @ SV60 ) )
= $false )
| ( ( irel @ SV17 @ SV60 )
= $false )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(789,plain,
! [SV17: $i,SV115: $i,SV40: $i] :
( ( ( irel @ SV40 @ SV115 )
= $false )
| ( ( p0 @ SV115 )
= $true )
| ( ( irel @ SV40 @ ( sK36_SY111 @ SV17 @ SV40 ) )
= $true )
| ( ( irel @ SV17 @ SV40 )
= $false )
| ( ( p1 @ ( sK16_SY58 @ SV17 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(790,plain,
! [SV18: $i,SV141: $i,SV61: $i] :
( ( ( ~ ( irel @ SV61 @ SV141 ) )
= $true )
| ( ( p7 @ SV141 )
= $true )
| ( ( irel @ SV61 @ ( sK57_SY153 @ SV18 @ SV61 ) )
= $true )
| ( ( irel @ SV18 @ SV61 )
= $false )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(791,plain,
! [SV18: $i,SV116: $i,SV61: $i] :
( ( ( irel @ SV61 @ SV116 )
= $false )
| ( ( p7 @ SV116 )
= $true )
| ( ( p8 @ ( sK57_SY153 @ SV18 @ SV61 ) )
= $false )
| ( ( irel @ SV18 @ SV61 )
= $false )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(792,plain,
! [SV18: $i,SV117: $i,SV41: $i] :
( ( ( irel @ SV41 @ SV117 )
= $false )
| ( ( p7 @ SV117 )
= $true )
| ( ( irel @ SV41 @ ( sK37_SY113 @ SV18 @ SV41 ) )
= $true )
| ( ( irel @ SV18 @ SV41 )
= $false )
| ( ( p8 @ ( sK17_SY62 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(793,plain,
! [SV20: $i,SV142: $i,SV62: $i] :
( ( ( ~ ( irel @ SV62 @ SV142 ) )
= $true )
| ( ( p18 @ SV142 )
= $true )
| ( ( irel @ SV62 @ ( sK58_SY155 @ SV20 @ SV62 ) )
= $true )
| ( ( irel @ SV20 @ SV62 )
= $false )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[729]) ).
thf(794,plain,
! [SV20: $i,SV118: $i,SV62: $i] :
( ( ( irel @ SV62 @ SV118 )
= $false )
| ( ( p18 @ SV118 )
= $true )
| ( ( p19 @ ( sK58_SY155 @ SV20 @ SV62 ) )
= $false )
| ( ( irel @ SV20 @ SV62 )
= $false )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(795,plain,
! [SV20: $i,SV119: $i,SV42: $i] :
( ( ( irel @ SV42 @ SV119 )
= $false )
| ( ( p18 @ SV119 )
= $true )
| ( ( irel @ SV42 @ ( sK38_SY115 @ SV20 @ SV42 ) )
= $true )
| ( ( irel @ SV20 @ SV42 )
= $false )
| ( ( p19 @ ( sK18_SY66 @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(796,plain,
! [SV21: $i,SV143: $i,SV63: $i] :
( ( ( ~ ( irel @ SV63 @ SV143 ) )
= $true )
| ( ( p9 @ SV143 )
= $true )
| ( ( irel @ SV63 @ ( sK59_SY157 @ SV21 @ SV63 ) )
= $true )
| ( ( irel @ SV21 @ SV63 )
= $false )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(797,plain,
! [SV21: $i,SV120: $i,SV63: $i] :
( ( ( irel @ SV63 @ SV120 )
= $false )
| ( ( p9 @ SV120 )
= $true )
| ( ( p10 @ ( sK59_SY157 @ SV21 @ SV63 ) )
= $false )
| ( ( irel @ SV21 @ SV63 )
= $false )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(798,plain,
! [SV21: $i,SV121: $i,SV43: $i] :
( ( ( irel @ SV43 @ SV121 )
= $false )
| ( ( p9 @ SV121 )
= $true )
| ( ( irel @ SV43 @ ( sK39_SY117 @ SV21 @ SV43 ) )
= $true )
| ( ( irel @ SV21 @ SV43 )
= $false )
| ( ( p10 @ ( sK19_SY70 @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(799,plain,
! [SV22: $i,SV144: $i,SV64: $i] :
( ( ( ~ ( irel @ SV64 @ SV144 ) )
= $true )
| ( ( p19 @ SV144 )
= $true )
| ( ( irel @ SV64 @ ( sK60_SY159 @ SV22 @ SV64 ) )
= $true )
| ( ( irel @ SV22 @ SV64 )
= $false )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(800,plain,
! [SV22: $i,SV122: $i,SV64: $i] :
( ( ( irel @ SV64 @ SV122 )
= $false )
| ( ( p19 @ SV122 )
= $true )
| ( ( p20 @ ( sK60_SY159 @ SV22 @ SV64 ) )
= $false )
| ( ( irel @ SV22 @ SV64 )
= $false )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(801,plain,
! [SV22: $i,SV123: $i,SV44: $i] :
( ( ( irel @ SV44 @ SV123 )
= $false )
| ( ( p19 @ SV123 )
= $true )
| ( ( irel @ SV44 @ ( sK40_SY119 @ SV22 @ SV44 ) )
= $true )
| ( ( irel @ SV22 @ SV44 )
= $false )
| ( ( p20 @ ( sK20_SY74 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(802,plain,
! [SV23: $i,SV145: $i,SV65: $i] :
( ( ( ~ ( irel @ SV65 @ SV145 ) )
= $true )
| ( ( p1 @ SV145 )
= $true )
| ( ( irel @ SV65 @ ( sK61_SY161 @ SV23 @ SV65 ) )
= $true )
| ( ( irel @ SV23 @ SV65 )
= $false )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(803,plain,
! [SV23: $i,SV124: $i,SV65: $i] :
( ( ( irel @ SV65 @ SV124 )
= $false )
| ( ( p1 @ SV124 )
= $true )
| ( ( p2 @ ( sK61_SY161 @ SV23 @ SV65 ) )
= $false )
| ( ( irel @ SV23 @ SV65 )
= $false )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(804,plain,
! [SV23: $i,SV125: $i,SV45: $i] :
( ( ( irel @ SV45 @ SV125 )
= $false )
| ( ( p1 @ SV125 )
= $true )
| ( ( irel @ SV45 @ ( sK41_SY121 @ SV23 @ SV45 ) )
= $true )
| ( ( irel @ SV23 @ SV45 )
= $false )
| ( ( p2 @ ( sK21_SY78 @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(805,plain,
! [SV3: $i,SV126: $i,SV46: $i] :
( ( ( irel @ SV46 @ SV126 )
= $false )
| ( ( p12 @ SV126 )
= $true )
| ( ( irel @ SV46 @ ( sK42_SY123 @ SV3 @ SV46 ) )
= $true )
| ( ( irel @ SV3 @ SV46 )
= $false )
| ( ( irel @ SV3 @ ( sK2_SY2 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(806,plain,
! [SV4: $i,SV127: $i,SV47: $i] :
( ( ( irel @ SV47 @ SV127 )
= $false )
| ( ( p4 @ SV127 )
= $true )
| ( ( irel @ SV47 @ ( sK43_SY125 @ SV4 @ SV47 ) )
= $true )
| ( ( irel @ SV4 @ SV47 )
= $false )
| ( ( irel @ SV4 @ ( sK3_SY6 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(807,plain,
! [SV5: $i,SV128: $i,SV48: $i] :
( ( ( irel @ SV48 @ SV128 )
= $false )
| ( ( p8 @ SV128 )
= $true )
| ( ( irel @ SV48 @ ( sK44_SY127 @ SV5 @ SV48 ) )
= $true )
| ( ( irel @ SV5 @ SV48 )
= $false )
| ( ( irel @ SV5 @ ( sK4_SY10 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(808,plain,
! [SV6: $i,SV129: $i,SV49: $i] :
( ( ( irel @ SV49 @ SV129 )
= $false )
| ( ( p15 @ SV129 )
= $true )
| ( ( irel @ SV49 @ ( sK45_SY129 @ SV6 @ SV49 ) )
= $true )
| ( ( irel @ SV6 @ SV49 )
= $false )
| ( ( irel @ SV6 @ ( sK5_SY14 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(809,plain,
! [SV7: $i,SV130: $i,SV50: $i] :
( ( ( irel @ SV50 @ SV130 )
= $false )
| ( ( p11 @ SV130 )
= $true )
| ( ( irel @ SV50 @ ( sK46_SY131 @ SV7 @ SV50 ) )
= $true )
| ( ( irel @ SV7 @ SV50 )
= $false )
| ( ( irel @ SV7 @ ( sK6_SY18 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(810,plain,
! [SV8: $i,SV131: $i,SV51: $i] :
( ( ( irel @ SV51 @ SV131 )
= $false )
| ( ( p10 @ SV131 )
= $true )
| ( ( irel @ SV51 @ ( sK47_SY133 @ SV8 @ SV51 ) )
= $true )
| ( ( irel @ SV8 @ SV51 )
= $false )
| ( ( irel @ SV8 @ ( sK7_SY22 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(811,plain,
! [SV9: $i,SV132: $i,SV52: $i] :
( ( ( irel @ SV52 @ SV132 )
= $false )
| ( ( p5 @ SV132 )
= $true )
| ( ( irel @ SV52 @ ( sK48_SY135 @ SV9 @ SV52 ) )
= $true )
| ( ( irel @ SV9 @ SV52 )
= $false )
| ( ( irel @ SV9 @ ( sK8_SY26 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(812,plain,
! [SV10: $i,SV133: $i,SV53: $i] :
( ( ( irel @ SV53 @ SV133 )
= $false )
| ( ( p6 @ SV133 )
= $true )
| ( ( irel @ SV53 @ ( sK49_SY137 @ SV10 @ SV53 ) )
= $true )
| ( ( irel @ SV10 @ SV53 )
= $false )
| ( ( irel @ SV10 @ ( sK9_SY30 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(813,plain,
! [SV11: $i,SV134: $i,SV54: $i] :
( ( ( irel @ SV54 @ SV134 )
= $false )
| ( ( p2 @ SV134 )
= $true )
| ( ( irel @ SV54 @ ( sK50_SY139 @ SV11 @ SV54 ) )
= $true )
| ( ( irel @ SV11 @ SV54 )
= $false )
| ( ( irel @ SV11 @ ( sK10_SY34 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(814,plain,
! [SV12: $i,SV135: $i,SV55: $i] :
( ( ( irel @ SV55 @ SV135 )
= $false )
| ( ( p13 @ SV135 )
= $true )
| ( ( irel @ SV55 @ ( sK51_SY141 @ SV12 @ SV55 ) )
= $true )
| ( ( irel @ SV12 @ SV55 )
= $false )
| ( ( irel @ SV12 @ ( sK11_SY38 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(815,plain,
! [SV13: $i,SV136: $i,SV56: $i] :
( ( ( irel @ SV56 @ SV136 )
= $false )
| ( ( p16 @ SV136 )
= $true )
| ( ( irel @ SV56 @ ( sK52_SY143 @ SV13 @ SV56 ) )
= $true )
| ( ( irel @ SV13 @ SV56 )
= $false )
| ( ( irel @ SV13 @ ( sK12_SY42 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(816,plain,
! [SV14: $i,SV137: $i,SV57: $i] :
( ( ( irel @ SV57 @ SV137 )
= $false )
| ( ( p14 @ SV137 )
= $true )
| ( ( irel @ SV57 @ ( sK53_SY145 @ SV14 @ SV57 ) )
= $true )
| ( ( irel @ SV14 @ SV57 )
= $false )
| ( ( irel @ SV14 @ ( sK13_SY46 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(817,plain,
! [SV15: $i,SV138: $i,SV58: $i] :
( ( ( irel @ SV58 @ SV138 )
= $false )
| ( ( p17 @ SV138 )
= $true )
| ( ( irel @ SV58 @ ( sK54_SY147 @ SV15 @ SV58 ) )
= $true )
| ( ( irel @ SV15 @ SV58 )
= $false )
| ( ( irel @ SV15 @ ( sK14_SY50 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(818,plain,
! [SV16: $i,SV139: $i,SV59: $i] :
( ( ( irel @ SV59 @ SV139 )
= $false )
| ( ( p3 @ SV139 )
= $true )
| ( ( irel @ SV59 @ ( sK55_SY149 @ SV16 @ SV59 ) )
= $true )
| ( ( irel @ SV16 @ SV59 )
= $false )
| ( ( irel @ SV16 @ ( sK15_SY54 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(819,plain,
! [SV17: $i,SV140: $i,SV60: $i] :
( ( ( irel @ SV60 @ SV140 )
= $false )
| ( ( p0 @ SV140 )
= $true )
| ( ( irel @ SV60 @ ( sK56_SY151 @ SV17 @ SV60 ) )
= $true )
| ( ( irel @ SV17 @ SV60 )
= $false )
| ( ( irel @ SV17 @ ( sK16_SY58 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(820,plain,
! [SV18: $i,SV141: $i,SV61: $i] :
( ( ( irel @ SV61 @ SV141 )
= $false )
| ( ( p7 @ SV141 )
= $true )
| ( ( irel @ SV61 @ ( sK57_SY153 @ SV18 @ SV61 ) )
= $true )
| ( ( irel @ SV18 @ SV61 )
= $false )
| ( ( irel @ SV18 @ ( sK17_SY62 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(821,plain,
! [SV20: $i,SV142: $i,SV62: $i] :
( ( ( irel @ SV62 @ SV142 )
= $false )
| ( ( p18 @ SV142 )
= $true )
| ( ( irel @ SV62 @ ( sK58_SY155 @ SV20 @ SV62 ) )
= $true )
| ( ( irel @ SV20 @ SV62 )
= $false )
| ( ( irel @ SV20 @ ( sK18_SY66 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(822,plain,
! [SV21: $i,SV143: $i,SV63: $i] :
( ( ( irel @ SV63 @ SV143 )
= $false )
| ( ( p9 @ SV143 )
= $true )
| ( ( irel @ SV63 @ ( sK59_SY157 @ SV21 @ SV63 ) )
= $true )
| ( ( irel @ SV21 @ SV63 )
= $false )
| ( ( irel @ SV21 @ ( sK19_SY70 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(823,plain,
! [SV22: $i,SV144: $i,SV64: $i] :
( ( ( irel @ SV64 @ SV144 )
= $false )
| ( ( p19 @ SV144 )
= $true )
| ( ( irel @ SV64 @ ( sK60_SY159 @ SV22 @ SV64 ) )
= $true )
| ( ( irel @ SV22 @ SV64 )
= $false )
| ( ( irel @ SV22 @ ( sK20_SY74 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(824,plain,
! [SV23: $i,SV145: $i,SV65: $i] :
( ( ( irel @ SV65 @ SV145 )
= $false )
| ( ( p1 @ SV145 )
= $true )
| ( ( irel @ SV65 @ ( sK61_SY161 @ SV23 @ SV65 ) )
= $true )
| ( ( irel @ SV23 @ SV65 )
= $false )
| ( ( irel @ SV23 @ ( sK21_SY78 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(825,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[74,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,801,800,798,797,795,794,792,791,789,788,786,785,783,782,780,779,777,776,774,773,771,770,768,767,765,764,762,761,759,758,756,755,753,752,750,749,747,746,744,740,736,732,728,724,720,716,712,708,704,700,696,692,688,684,680,676,672,668,244,101,93]) ).
thf(826,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[825]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO068^4.020 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 19:36:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 23
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 2734
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:23,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:25,loop_count:0,foatp_calls:0,translation:fof_full)..........................................
% 0.37/0.63
% 0.37/0.63 ********************************
% 0.37/0.63 * All subproblems solved! *
% 0.37/0.63 ********************************
% 0.37/0.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:23,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:825,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.75/0.95
% 0.75/0.95 %**** Beginning of derivation protocol ****
% 0.75/0.95 % SZS output start CNFRefutation
% See solution above
% 0.75/0.96
% 0.75/0.96 %**** End of derivation protocol ****
% 0.75/0.96 %**** no. of clauses in derivation: 826 ****
% 0.75/0.96 %**** clause counter: 825 ****
% 0.75/0.96
% 0.75/0.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:23,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:825,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------