TSTP Solution File: SYN045^7 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN045^7 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 08:22:53 EDT 2022
% Result : Theorem 1.00s 1.21s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 184
% Syntax : Number of formulae : 1250 ( 58 unt; 147 typ; 32 def)
% Number of atoms : 16304 (4172 equ; 0 cnn)
% Maximal formula atoms : 44 ( 14 avg)
% Number of connectives : 23569 (4246 ~;6690 |; 9 &;12614 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 204 ( 204 >; 0 *; 0 +; 0 <<)
% Number of symbols : 149 ( 146 usr; 99 con; 0-3 aty)
% Number of variables : 2863 ( 49 ^2807 !; 7 ?;2863 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mu,type,
mu: $tType ).
thf(tp_exists_in_world,type,
exists_in_world: mu > $i > $o ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mbox,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mbox_s4,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(tp_mcountersatisfiable,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(tp_mdia,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mdia_s4,type,
mdia_s4: ( $i > $o ) > $i > $o ).
thf(tp_meq_prop,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mequiv,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_meuclidean,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(tp_mexists_ind,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(tp_mexists_prop,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(tp_mfalse,type,
mfalse: $i > $o ).
thf(tp_mforall_ind,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(tp_mforall_prop,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(tp_mfunctional,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(tp_mimplied,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mimplies,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_minvalid,type,
minvalid: ( $i > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( $i > $o ) > $i > $o ).
thf(tp_mor,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mpartially_functional,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(tp_mreflexive,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(tp_msatisfiable,type,
msatisfiable: ( $i > $o ) > $o ).
thf(tp_mserial,type,
mserial: ( $i > $i > $o ) > $o ).
thf(tp_msymmetric,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(tp_mtransitive,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(tp_mtrue,type,
mtrue: $i > $o ).
thf(tp_mvalid,type,
mvalid: ( $i > $o ) > $o ).
thf(tp_mweakly_connected,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(tp_mweakly_dense,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(tp_mweakly_directed,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(tp_mxor,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_p,type,
p: $i > $o ).
thf(tp_q,type,
q: $i > $o ).
thf(tp_qmltpeq,type,
qmltpeq: mu > mu > $i > $o ).
thf(tp_r,type,
r: $i > $o ).
thf(tp_rel_s4,type,
rel_s4: $i > $i > $o ).
thf(tp_sK100_SY112,type,
sK100_SY112: $i ).
thf(tp_sK101_SY161,type,
sK101_SY161: $i ).
thf(tp_sK102_SY119,type,
sK102_SY119: $i ).
thf(tp_sK103_SY126,type,
sK103_SY126: $i ).
thf(tp_sK104_SY133,type,
sK104_SY133: $i ).
thf(tp_sK105_SY140,type,
sK105_SY140: $i ).
thf(tp_sK106_SY147,type,
sK106_SY147: $i ).
thf(tp_sK107_SY154,type,
sK107_SY154: $i ).
thf(tp_sK108_SY161,type,
sK108_SY161: $i ).
thf(tp_sK10_SY28,type,
sK10_SY28: $i ).
thf(tp_sK11_SY27,type,
sK11_SY27: $i ).
thf(tp_sK12_SY28,type,
sK12_SY28: $i ).
thf(tp_sK13_SY27,type,
sK13_SY27: $i ).
thf(tp_sK14_SY28,type,
sK14_SY28: $i ).
thf(tp_sK15_SY27,type,
sK15_SY27: $i ).
thf(tp_sK16_SY28,type,
sK16_SY28: $i ).
thf(tp_sK17_SY35,type,
sK17_SY35: $i ).
thf(tp_sK18_SY13,type,
sK18_SY13: $i ).
thf(tp_sK19_SY13,type,
sK19_SY13: $i ).
thf(tp_sK1_X,type,
sK1_X: $i > mu ).
thf(tp_sK20_SY13,type,
sK20_SY13: $i ).
thf(tp_sK21_SY13,type,
sK21_SY13: $i ).
thf(tp_sK22_SY35,type,
sK22_SY35: $i ).
thf(tp_sK23_SY13,type,
sK23_SY13: $i > $i > $i ).
thf(tp_sK24_SY13,type,
sK24_SY13: $i > $i > $i ).
thf(tp_sK25_SY13,type,
sK25_SY13: $i ).
thf(tp_sK26_SY13,type,
sK26_SY13: $i ).
thf(tp_sK27_SY13,type,
sK27_SY13: $i ).
thf(tp_sK28_SY13,type,
sK28_SY13: $i ).
thf(tp_sK29_SY13,type,
sK29_SY13: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK30_SY13,type,
sK30_SY13: $i ).
thf(tp_sK31_SY13,type,
sK31_SY13: $i ).
thf(tp_sK32_SY13,type,
sK32_SY13: $i ).
thf(tp_sK33_SY13,type,
sK33_SY13: $i ).
thf(tp_sK34_SY13,type,
sK34_SY13: $i ).
thf(tp_sK35_SY13,type,
sK35_SY13: $i ).
thf(tp_sK36_SY13,type,
sK36_SY13: $i ).
thf(tp_sK37_SY40,type,
sK37_SY40: $i ).
thf(tp_sK38_SY47,type,
sK38_SY47: $i ).
thf(tp_sK39_SY54,type,
sK39_SY54: $i ).
thf(tp_sK3_SY5,type,
sK3_SY5: $i ).
thf(tp_sK40_SY61,type,
sK40_SY61: $i ).
thf(tp_sK41_SY68,type,
sK41_SY68: $i > $i > $i ).
thf(tp_sK42_SY75,type,
sK42_SY75: $i > $i > $i ).
thf(tp_sK43_SY82,type,
sK43_SY82: $i ).
thf(tp_sK44_SY89,type,
sK44_SY89: $i ).
thf(tp_sK45_SY96,type,
sK45_SY96: $i ).
thf(tp_sK46_SY103,type,
sK46_SY103: $i ).
thf(tp_sK47_SY110,type,
sK47_SY110: $i ).
thf(tp_sK48_SY117,type,
sK48_SY117: $i ).
thf(tp_sK49_SY124,type,
sK49_SY124: $i ).
thf(tp_sK4_SY13,type,
sK4_SY13: $i ).
thf(tp_sK50_SY131,type,
sK50_SY131: $i ).
thf(tp_sK51_SY138,type,
sK51_SY138: $i ).
thf(tp_sK52_SY145,type,
sK52_SY145: $i ).
thf(tp_sK53_SY152,type,
sK53_SY152: $i ).
thf(tp_sK54_SY159,type,
sK54_SY159: $i ).
thf(tp_sK55_SY41,type,
sK55_SY41: $i ).
thf(tp_sK56_SY48,type,
sK56_SY48: $i ).
thf(tp_sK57_SY55,type,
sK57_SY55: $i ).
thf(tp_sK58_SY62,type,
sK58_SY62: $i ).
thf(tp_sK59_SY69,type,
sK59_SY69: $i > $i > $i ).
thf(tp_sK5_SY25,type,
sK5_SY25: $i ).
thf(tp_sK60_SY76,type,
sK60_SY76: $i > $i > $i ).
thf(tp_sK61_SY83,type,
sK61_SY83: $i ).
thf(tp_sK62_SY90,type,
sK62_SY90: $i ).
thf(tp_sK63_SY97,type,
sK63_SY97: $i ).
thf(tp_sK64_SY104,type,
sK64_SY104: $i ).
thf(tp_sK65_SY111,type,
sK65_SY111: $i ).
thf(tp_sK66_SY118,type,
sK66_SY118: $i ).
thf(tp_sK67_SY125,type,
sK67_SY125: $i ).
thf(tp_sK68_SY132,type,
sK68_SY132: $i ).
thf(tp_sK69_SY139,type,
sK69_SY139: $i ).
thf(tp_sK6_SY26,type,
sK6_SY26: $i ).
thf(tp_sK70_SY146,type,
sK70_SY146: $i ).
thf(tp_sK71_SY153,type,
sK71_SY153: $i ).
thf(tp_sK72_SY160,type,
sK72_SY160: $i ).
thf(tp_sK73_SY42,type,
sK73_SY42: $i ).
thf(tp_sK74_SY49,type,
sK74_SY49: $i ).
thf(tp_sK75_SY56,type,
sK75_SY56: $i ).
thf(tp_sK76_SY63,type,
sK76_SY63: $i ).
thf(tp_sK77_SY70,type,
sK77_SY70: $i > $i > $i ).
thf(tp_sK78_SY77,type,
sK78_SY77: $i > $i > $i ).
thf(tp_sK79_SY84,type,
sK79_SY84: $i ).
thf(tp_sK7_SY33,type,
sK7_SY33: $i ).
thf(tp_sK80_SY91,type,
sK80_SY91: $i ).
thf(tp_sK81_SY98,type,
sK81_SY98: $i ).
thf(tp_sK82_SY42,type,
sK82_SY42: $i ).
thf(tp_sK83_SY105,type,
sK83_SY105: $i ).
thf(tp_sK84_SY49,type,
sK84_SY49: $i ).
thf(tp_sK85_SY112,type,
sK85_SY112: $i ).
thf(tp_sK86_SY119,type,
sK86_SY119: $i ).
thf(tp_sK87_SY126,type,
sK87_SY126: $i ).
thf(tp_sK88_SY56,type,
sK88_SY56: $i ).
thf(tp_sK89_SY133,type,
sK89_SY133: $i ).
thf(tp_sK8_SY34,type,
sK8_SY34: $i ).
thf(tp_sK90_SY63,type,
sK90_SY63: $i ).
thf(tp_sK91_SY70,type,
sK91_SY70: $i > $i > $i ).
thf(tp_sK92_SY77,type,
sK92_SY77: $i > $i > $i ).
thf(tp_sK93_SY140,type,
sK93_SY140: $i ).
thf(tp_sK94_SY84,type,
sK94_SY84: $i ).
thf(tp_sK95_SY147,type,
sK95_SY147: $i ).
thf(tp_sK96_SY91,type,
sK96_SY91: $i ).
thf(tp_sK97_SY98,type,
sK97_SY98: $i ).
thf(tp_sK98_SY105,type,
sK98_SY105: $i ).
thf(tp_sK99_SY154,type,
sK99_SY154: $i ).
thf(tp_sK9_SY27,type,
sK9_SY27: $i ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ~ ( R @ W @ V )
| ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mbox_s4,definition,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ~ ( rel_s4 @ W @ V )
| ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s4) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mcountersatisfiable) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(mdia_s4,definition,
( mdia_s4
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_s4) ).
thf(meq_prop,definition,
( meq_prop
= ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
( ( X @ W )
= ( Y @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_prop) ).
thf(mequiv,definition,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv) ).
thf(meuclidean,definition,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meuclidean) ).
thf(mexists_ind,definition,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind) ).
thf(mexists_prop,definition,
( mexists_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o] :
( mnot
@ ( mforall_prop
@ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] :
( ( exists_in_world @ X @ W )
=> ( Phi @ X @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind) ).
thf(mforall_prop,definition,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_prop) ).
thf(mfunctional,definition,
( mfunctional
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] :
( ( R @ S @ T )
& ! [U: $i] :
( ( R @ S @ U )
=> ( T = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfunctional) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(minvalid,definition,
( minvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
thf(mpartially_functional,definition,
( mpartially_functional
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( T = U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mpartially_functional) ).
thf(mreflexive,definition,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msatisfiable) ).
thf(mserial,definition,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mserial) ).
thf(msymmetric,definition,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric) ).
thf(mtransitive,definition,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive) ).
thf(mtrue,definition,
( mtrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid) ).
thf(mweakly_connected,definition,
( mweakly_connected
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( ( R @ T @ U )
| ( T = U )
| ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_connected) ).
thf(mweakly_dense,definition,
( mweakly_dense
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( R @ S @ T )
=> ? [U: $i] :
( ( R @ S @ U )
& ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_dense) ).
thf(mweakly_directed,definition,
( mweakly_directed
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ? [V: $i] :
( ( R @ T @ V )
& ( R @ U @ V ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_directed) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mxor) ).
thf(1,axiom,
! [X: mu,V: $i,W: $i] :
( ( ( exists_in_world @ X @ V )
& ( rel_s4 @ V @ W ) )
=> ( exists_in_world @ X @ W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cumulative_ax) ).
thf(2,axiom,
mtransitive @ rel_s4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
thf(3,axiom,
mreflexive @ rel_s4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
thf(4,axiom,
! [V: $i] :
? [X: mu] : ( exists_in_world @ X @ V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonempty_ax) ).
thf(5,conjecture,
mvalid @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mor @ ( mbox_s4 @ p ) @ ( mand @ ( mbox_s4 @ q ) @ ( mbox_s4 @ r ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ q ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ r ) ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ q ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ r ) ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mand @ ( mbox_s4 @ q ) @ ( mbox_s4 @ r ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel13) ).
thf(6,negated_conjecture,
( ( mvalid @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mor @ ( mbox_s4 @ p ) @ ( mand @ ( mbox_s4 @ q ) @ ( mbox_s4 @ r ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ q ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ r ) ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ q ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ r ) ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mand @ ( mbox_s4 @ q ) @ ( mbox_s4 @ r ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,plain,
( ( ~ ( mvalid @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mor @ ( mbox_s4 @ p ) @ ( mand @ ( mbox_s4 @ q ) @ ( mbox_s4 @ r ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ q ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ r ) ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ q ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ r ) ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mand @ ( mbox_s4 @ q ) @ ( mbox_s4 @ r ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [X: mu,V: $i,W: $i] :
( ~ ( exists_in_world @ X @ V )
| ~ ( rel_s4 @ V @ W )
| ( exists_in_world @ X @ W ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[1]) ).
thf(9,plain,
( ( ! [V: $i] : ( exists_in_world @ ( sK1_X @ V ) @ V ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(10,plain,
( ( ! [V: $i] : ( exists_in_world @ ( sK1_X @ V ) @ V ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(11,plain,
( ( mreflexive @ rel_s4 )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(12,plain,
( ( mtransitive @ rel_s4 )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(13,plain,
( ( ! [X: mu,V: $i,W: $i] :
( ~ ( exists_in_world @ X @ V )
| ~ ( rel_s4 @ V @ W )
| ( exists_in_world @ X @ W ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(14,plain,
( ( ~ ( mvalid @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mor @ ( mbox_s4 @ p ) @ ( mand @ ( mbox_s4 @ q ) @ ( mbox_s4 @ r ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ q ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ r ) ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ q ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ r ) ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mand @ ( mbox_s4 @ q ) @ ( mbox_s4 @ r ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(15,plain,
( ( ~ ! [SX0: $i] :
~ ( ~ ! [SX1: $i] :
( ~ ( rel_s4 @ SX0 @ SX1 )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( r @ SX2 ) ) ) )
| ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( r @ SX2 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( rel_s4 @ SX0 @ SX1 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( r @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,mand,mbox,mbox_s4,mcountersatisfiable,mdia,mdia_s4,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(16,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( rel_s4 @ SX0 @ SX1 )
| ~ ( rel_s4 @ SX1 @ SX2 ) )
| ( rel_s4 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,mand,mbox,mbox_s4,mcountersatisfiable,mdia,mdia_s4,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(17,plain,
( ( ! [SX0: $i] : ( rel_s4 @ SX0 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[11,mand,mbox,mbox_s4,mcountersatisfiable,mdia,mdia_s4,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(18,plain,
! [SV1: $i] :
( ( exists_in_world @ ( sK1_X @ SV1 ) @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(19,plain,
! [SV2: mu] :
( ( ! [SY0: $i,SY1: $i] :
( ~ ( exists_in_world @ SV2 @ SY0 )
| ~ ( rel_s4 @ SY0 @ SY1 )
| ( exists_in_world @ SV2 @ SY1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(20,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i] :
( ~ ( rel_s4 @ SX0 @ SX1 )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( r @ SX2 ) ) ) )
| ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( r @ SX2 ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( rel_s4 @ SX0 @ SX1 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SX1 @ SX2 )
| ( r @ SX2 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(21,plain,
! [SV3: $i] :
( ( ! [SY2: $i,SY3: $i] :
( ~ ~ ( ~ ( rel_s4 @ SV3 @ SY2 )
| ~ ( rel_s4 @ SY2 @ SY3 ) )
| ( rel_s4 @ SV3 @ SY3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(22,plain,
! [SV4: $i] :
( ( rel_s4 @ SV4 @ SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(23,plain,
! [SV5: $i,SV2: mu] :
( ( ! [SY4: $i] :
( ~ ( exists_in_world @ SV2 @ SV5 )
| ~ ( rel_s4 @ SV5 @ SY4 )
| ( exists_in_world @ SV2 @ SY4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ( ~ ! [SY5: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY5 )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( r @ SX2 ) ) ) )
| ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( r @ SX2 ) ) ) ) )
| ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(25,plain,
! [SV6: $i,SV3: $i] :
( ( ! [SY21: $i] :
( ~ ~ ( ~ ( rel_s4 @ SV3 @ SV6 )
| ~ ( rel_s4 @ SV6 @ SY21 ) )
| ( rel_s4 @ SV3 @ SY21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV7: $i,SV5: $i,SV2: mu] :
( ( ~ ( exists_in_world @ SV2 @ SV5 )
| ~ ( rel_s4 @ SV5 @ SV7 )
| ( exists_in_world @ SV2 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ! [SY5: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY5 )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( r @ SX2 ) ) ) )
| ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( r @ SX2 ) ) ) ) )
| ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ~ ~ ( ~ ( rel_s4 @ SV3 @ SV6 )
| ~ ( rel_s4 @ SV6 @ SV8 ) )
| ( rel_s4 @ SV3 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV7: $i,SV5: $i,SV2: mu] :
( ( ( ~ ( exists_in_world @ SV2 @ SV5 )
| ~ ( rel_s4 @ SV5 @ SV7 ) )
= $true )
| ( ( exists_in_world @ SV2 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(30,plain,
( ( ( ~ ! [SY5: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY5 )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( r @ SX2 ) ) ) )
| ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( r @ SX2 ) ) ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( rel_s4 @ SV3 @ SV6 )
| ~ ( rel_s4 @ SV6 @ SV8 ) ) )
= $true )
| ( ( rel_s4 @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV7: $i,SV5: $i,SV2: mu] :
( ( ( ~ ( exists_in_world @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( rel_s4 @ SV5 @ SV7 ) )
= $true )
| ( ( exists_in_world @ SV2 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(33,plain,
( ( ( ! [SY5: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY5 )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( r @ SX2 ) ) ) )
| ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY5 @ SX2 )
| ( r @ SX2 ) ) ) ) ) )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( ~ ( rel_s4 @ SV3 @ SV6 )
| ~ ( rel_s4 @ SV6 @ SV8 ) ) )
= $false )
| ( ( rel_s4 @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV7: $i,SV5: $i,SV2: mu] :
( ( ( exists_in_world @ SV2 @ SV5 )
= $false )
| ( ( ~ ( rel_s4 @ SV5 @ SV7 ) )
= $true )
| ( ( exists_in_world @ SV2 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
| ~ ( ! [SY22: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY22 )
| ( p @ SY22 ) )
| ~ ( ~ ! [SY23: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY23 )
| ( q @ SY23 ) )
| ~ ! [SY24: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY24 )
| ( r @ SY24 ) ) ) )
| ~ ( ~ ( ! [SY25: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY25 )
| ( p @ SY25 ) )
| ! [SY26: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY26 )
| ( q @ SY26 ) ) )
| ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) ) )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[33]) ).
thf(37,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( rel_s4 @ SV3 @ SV6 )
| ~ ( rel_s4 @ SV6 @ SV8 ) )
= $true )
| ( ( rel_s4 @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(38,plain,
! [SV2: mu,SV7: $i,SV5: $i] :
( ( ( rel_s4 @ SV5 @ SV7 )
= $false )
| ( ( exists_in_world @ SV2 @ SV5 )
= $false )
| ( ( exists_in_world @ SV2 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(39,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK3_SY5 ) )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(40,plain,
( ( ( ~ ( ! [SY22: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY22 )
| ( p @ SY22 ) )
| ~ ( ~ ! [SY23: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY23 )
| ( q @ SY23 ) )
| ~ ! [SY24: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY24 )
| ( r @ SY24 ) ) ) )
| ~ ( ~ ( ! [SY25: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY25 )
| ( p @ SY25 ) )
| ! [SY26: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY26 )
| ( q @ SY26 ) ) )
| ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) ) )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(41,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( rel_s4 @ SV3 @ SV6 ) )
= $true )
| ( ( ~ ( rel_s4 @ SV6 @ SV8 ) )
= $true )
| ( ( rel_s4 @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(42,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(43,plain,
( ( ( ~ ( ! [SY22: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY22 )
| ( p @ SY22 ) )
| ~ ( ~ ! [SY23: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY23 )
| ( q @ SY23 ) )
| ~ ! [SY24: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY24 )
| ( r @ SY24 ) ) ) ) )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(44,plain,
( ( ( ~ ( ~ ( ! [SY25: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY25 )
| ( p @ SY25 ) )
| ! [SY26: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY26 )
| ( q @ SY26 ) ) )
| ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) ) )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(45,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ( rel_s4 @ SV3 @ SV6 )
= $false )
| ( ( ~ ( rel_s4 @ SV6 @ SV8 ) )
= $true )
| ( ( rel_s4 @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(46,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(47,plain,
( ( ( ! [SY22: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY22 )
| ( p @ SY22 ) )
| ~ ( ~ ! [SY23: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY23 )
| ( q @ SY23 ) )
| ~ ! [SY24: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY24 )
| ( r @ SY24 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(48,plain,
( ( ( ~ ( ! [SY25: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY25 )
| ( p @ SY25 ) )
| ! [SY26: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY26 )
| ( q @ SY26 ) ) )
| ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(49,plain,
! [SV3: $i,SV8: $i,SV6: $i] :
( ( ( rel_s4 @ SV6 @ SV8 )
= $false )
| ( ( rel_s4 @ SV3 @ SV6 )
= $false )
| ( ( rel_s4 @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(50,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK4_SY13 )
| ~ ~ ( ~ ( ! [SY29: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY29 )
| ( p @ SY29 ) )
| ! [SY30: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY30 )
| ( q @ SY30 ) ) )
| ~ ( ! [SY31: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY31 )
| ( p @ SY31 ) )
| ! [SY32: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY32 )
| ( r @ SY32 ) ) ) )
| ! [SY33: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY33 )
| ( p @ SY33 ) )
| ~ ( ~ ! [SY34: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY34 )
| ( q @ SY34 ) )
| ~ ! [SY35: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY35 )
| ( r @ SY35 ) ) ) )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[46]) ).
thf(51,plain,
( ( ( ! [SY22: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY22 )
| ( p @ SY22 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY23: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY23 )
| ( q @ SY23 ) )
| ~ ! [SY24: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY24 )
| ( r @ SY24 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(52,plain,
( ( ( ~ ( ! [SY25: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY25 )
| ( p @ SY25 ) )
| ! [SY26: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY26 )
| ( q @ SY26 ) ) ) )
= $true )
| ( ( ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(53,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK4_SY13 ) )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(54,plain,
( ( ( ~ ~ ( ~ ( ! [SY29: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY29 )
| ( p @ SY29 ) )
| ! [SY30: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY30 )
| ( q @ SY30 ) ) )
| ~ ( ! [SY31: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY31 )
| ( p @ SY31 ) )
| ! [SY32: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY32 )
| ( r @ SY32 ) ) ) )
| ! [SY33: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY33 )
| ( p @ SY33 ) )
| ~ ( ~ ! [SY34: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY34 )
| ( q @ SY34 ) )
| ~ ! [SY35: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY35 )
| ( r @ SY35 ) ) ) )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(55,plain,
! [SV9: $i] :
( ( ( ~ ( rel_s4 @ sK3_SY5 @ SV9 )
| ( p @ SV9 ) )
= $true )
| ( ( ~ ( ~ ! [SY23: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY23 )
| ( q @ SY23 ) )
| ~ ! [SY24: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY24 )
| ( r @ SY24 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(56,plain,
( ( ( ! [SY25: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY25 )
| ( p @ SY25 ) )
| ! [SY26: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY26 )
| ( q @ SY26 ) ) )
= $false )
| ( ( ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK4_SY13 )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(58,plain,
( ( ( ~ ~ ( ~ ( ! [SY29: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY29 )
| ( p @ SY29 ) )
| ! [SY30: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY30 )
| ( q @ SY30 ) ) )
| ~ ( ! [SY31: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY31 )
| ( p @ SY31 ) )
| ! [SY32: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY32 )
| ( r @ SY32 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(59,plain,
( ( ( ! [SY33: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY33 )
| ( p @ SY33 ) )
| ~ ( ~ ! [SY34: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY34 )
| ( q @ SY34 ) )
| ~ ! [SY35: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY35 )
| ( r @ SY35 ) ) ) )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(60,plain,
! [SV9: $i] :
( ( ( ~ ( rel_s4 @ sK3_SY5 @ SV9 ) )
= $true )
| ( ( p @ SV9 )
= $true )
| ( ( ~ ( ~ ! [SY23: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY23 )
| ( q @ SY23 ) )
| ~ ! [SY24: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY24 )
| ( r @ SY24 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(61,plain,
( ( ( ! [SY25: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY25 )
| ( p @ SY25 ) ) )
= $false )
| ( ( ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(62,plain,
( ( ( ! [SY26: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY26 )
| ( q @ SY26 ) ) )
= $false )
| ( ( ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(63,plain,
( ( ( ~ ( ~ ( ! [SY29: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY29 )
| ( p @ SY29 ) )
| ! [SY30: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY30 )
| ( q @ SY30 ) ) )
| ~ ( ! [SY31: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY31 )
| ( p @ SY31 ) )
| ! [SY32: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY32 )
| ( r @ SY32 ) ) ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(64,plain,
( ( ( ! [SY33: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY33 )
| ( p @ SY33 ) ) )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(65,plain,
( ( ( ~ ( ~ ! [SY34: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY34 )
| ( q @ SY34 ) )
| ~ ! [SY35: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY35 )
| ( r @ SY35 ) ) ) )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(66,plain,
! [SV9: $i] :
( ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( ~ ( ~ ! [SY23: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY23 )
| ( q @ SY23 ) )
| ~ ! [SY24: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY24 )
| ( r @ SY24 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(67,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
| ( p @ sK5_SY25 ) )
= $false )
| ( ( ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[61]) ).
thf(68,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
| ( q @ sK6_SY26 ) )
= $false )
| ( ( ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[62]) ).
thf(69,plain,
( ( ( ~ ( ! [SY29: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY29 )
| ( p @ SY29 ) )
| ! [SY30: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY30 )
| ( q @ SY30 ) ) )
| ~ ( ! [SY31: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY31 )
| ( p @ SY31 ) )
| ! [SY32: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY32 )
| ( r @ SY32 ) ) ) )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(70,plain,
( ( ( ~ ( rel_s4 @ sK4_SY13 @ sK7_SY33 )
| ( p @ sK7_SY33 ) )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[64]) ).
thf(71,plain,
( ( ( ~ ! [SY34: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY34 )
| ( q @ SY34 ) )
| ~ ! [SY35: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY35 )
| ( r @ SY35 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(72,plain,
! [SV9: $i] :
( ( ( ~ ! [SY23: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY23 )
| ( q @ SY23 ) )
| ~ ! [SY24: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY24 )
| ( r @ SY24 ) ) )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(73,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK5_SY25 ) )
= $false )
| ( ( ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(74,plain,
( ( ( p @ sK5_SY25 )
= $false )
| ( ( ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(75,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK6_SY26 ) )
= $false )
| ( ( ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(76,plain,
( ( ( q @ sK6_SY26 )
= $false )
| ( ( ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(77,plain,
( ( ( ~ ( ! [SY29: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY29 )
| ( p @ SY29 ) )
| ! [SY30: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY30 )
| ( q @ SY30 ) ) ) )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(78,plain,
( ( ( ~ ( ! [SY31: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY31 )
| ( p @ SY31 ) )
| ! [SY32: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY32 )
| ( r @ SY32 ) ) ) )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(79,plain,
( ( ( ~ ( rel_s4 @ sK4_SY13 @ sK7_SY33 ) )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(80,plain,
( ( ( p @ sK7_SY33 )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(81,plain,
( ( ( ~ ! [SY34: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY34 )
| ( q @ SY34 ) ) )
= $true )
| ( ( ~ ! [SY35: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY35 )
| ( r @ SY35 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV9: $i] :
( ( ( ~ ! [SY23: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY23 )
| ( q @ SY23 ) ) )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(83,plain,
! [SV9: $i] :
( ( ( ~ ! [SY24: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY24 )
| ( r @ SY24 ) ) )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(84,plain,
( ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(85,plain,
( ( ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(86,plain,
( ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( ~ ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) ) )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(87,plain,
( ( ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(88,plain,
( ( ( ! [SY29: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY29 )
| ( p @ SY29 ) )
| ! [SY30: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY30 )
| ( q @ SY30 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(89,plain,
( ( ( ! [SY31: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY31 )
| ( p @ SY31 ) )
| ! [SY32: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY32 )
| ( r @ SY32 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(90,plain,
( ( ( rel_s4 @ sK4_SY13 @ sK7_SY33 )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(91,plain,
( ( ( ! [SY34: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY34 )
| ( q @ SY34 ) ) )
= $false )
| ( ( ~ ! [SY35: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY35 )
| ( r @ SY35 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(92,plain,
! [SV9: $i] :
( ( ( ! [SY23: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY23 )
| ( q @ SY23 ) ) )
= $true )
| ( ( p @ SV9 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(93,plain,
! [SV9: $i] :
( ( ( ! [SY24: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY24 )
| ( r @ SY24 ) ) )
= $true )
| ( ( p @ SV9 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(94,plain,
( ( ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(95,plain,
( ( ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(96,plain,
( ( ( ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(97,plain,
( ( ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) )
| ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(98,plain,
( ( ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(99,plain,
( ( ( ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(100,plain,
( ( ( ! [SY29: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY29 )
| ( p @ SY29 ) ) )
= $true )
| ( ( ! [SY30: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY30 )
| ( q @ SY30 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(101,plain,
( ( ( ! [SY31: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY31 )
| ( p @ SY31 ) ) )
= $true )
| ( ( ! [SY32: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY32 )
| ( r @ SY32 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(102,plain,
( ( ( ~ ( rel_s4 @ sK4_SY13 @ sK8_SY34 )
| ( q @ sK8_SY34 ) )
= $false )
| ( ( ~ ! [SY35: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY35 )
| ( r @ SY35 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[91]) ).
thf(103,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ sK3_SY5 @ SV10 )
| ( q @ SV10 ) )
= $true )
| ( ( p @ SV9 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ sK3_SY5 @ SV11 )
| ( r @ SV11 ) )
= $true )
| ( ( p @ SV9 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(105,plain,
( ( ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(106,plain,
( ( ( ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(107,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
| ( p @ sK9_SY27 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[95]) ).
thf(108,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
| ( r @ sK10_SY28 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[96]) ).
thf(109,plain,
( ( ( ! [SY27: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY27 )
| ( p @ SY27 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(110,plain,
( ( ( ! [SY28: $i] :
( ~ ( rel_s4 @ sK3_SY5 @ SY28 )
| ( r @ SY28 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(111,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
| ( p @ sK11_SY27 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[98]) ).
thf(112,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
| ( r @ sK12_SY28 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[99]) ).
thf(113,plain,
! [SV12: $i] :
( ( ( ~ ( rel_s4 @ sK4_SY13 @ SV12 )
| ( p @ SV12 ) )
= $true )
| ( ( ! [SY30: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY30 )
| ( q @ SY30 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(114,plain,
! [SV13: $i] :
( ( ( ~ ( rel_s4 @ sK4_SY13 @ SV13 )
| ( p @ SV13 ) )
= $true )
| ( ( ! [SY32: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY32 )
| ( r @ SY32 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(115,plain,
( ( ( ~ ( rel_s4 @ sK4_SY13 @ sK8_SY34 ) )
= $false )
| ( ( ~ ! [SY35: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY35 )
| ( r @ SY35 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(116,plain,
( ( ( q @ sK8_SY34 )
= $false )
| ( ( ~ ! [SY35: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY35 )
| ( r @ SY35 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(117,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ sK3_SY5 @ SV10 ) )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( p @ SV9 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(118,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ sK3_SY5 @ SV11 ) )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( p @ SV9 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(119,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
| ( p @ sK13_SY27 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[105]) ).
thf(120,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
| ( r @ sK14_SY28 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[106]) ).
thf(121,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK9_SY27 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(122,plain,
( ( ( p @ sK9_SY27 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(123,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK10_SY28 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(124,plain,
( ( ( r @ sK10_SY28 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(125,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
| ( p @ sK15_SY27 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[109]) ).
thf(126,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
| ( r @ sK16_SY28 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[110]) ).
thf(127,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK11_SY27 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(128,plain,
( ( ( p @ sK11_SY27 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(129,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK12_SY28 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(130,plain,
( ( ( r @ sK12_SY28 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(131,plain,
! [SV12: $i] :
( ( ( ~ ( rel_s4 @ sK4_SY13 @ SV12 ) )
= $true )
| ( ( p @ SV12 )
= $true )
| ( ( ! [SY30: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY30 )
| ( q @ SY30 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(132,plain,
! [SV13: $i] :
( ( ( ~ ( rel_s4 @ sK4_SY13 @ SV13 ) )
= $true )
| ( ( p @ SV13 )
= $true )
| ( ( ! [SY32: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY32 )
| ( r @ SY32 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(133,plain,
( ( ( rel_s4 @ sK4_SY13 @ sK8_SY34 )
= $true )
| ( ( ~ ! [SY35: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY35 )
| ( r @ SY35 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(134,plain,
( ( ( ! [SY35: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY35 )
| ( r @ SY35 ) ) )
= $false )
| ( ( q @ sK8_SY34 )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(135,plain,
! [SV9: $i,SV10: $i] :
( ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false )
| ( ( q @ SV10 )
= $true )
| ( ( p @ SV9 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(136,plain,
! [SV9: $i,SV11: $i] :
( ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false )
| ( ( r @ SV11 )
= $true )
| ( ( p @ SV9 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(137,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK13_SY27 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(138,plain,
( ( ( p @ sK13_SY27 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(139,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK14_SY28 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(140,plain,
( ( ( r @ sK14_SY28 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(141,plain,
( ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(142,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(143,plain,
( ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(144,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(145,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK15_SY27 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(146,plain,
( ( ( p @ sK15_SY27 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(147,plain,
( ( ( ~ ( rel_s4 @ sK3_SY5 @ sK16_SY28 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(148,plain,
( ( ( r @ sK16_SY28 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(149,plain,
( ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(150,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(151,plain,
( ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(152,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(153,plain,
! [SV12: $i] :
( ( ( rel_s4 @ sK4_SY13 @ SV12 )
= $false )
| ( ( p @ SV12 )
= $true )
| ( ( ! [SY30: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY30 )
| ( q @ SY30 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(154,plain,
! [SV13: $i] :
( ( ( rel_s4 @ sK4_SY13 @ SV13 )
= $false )
| ( ( p @ SV13 )
= $true )
| ( ( ! [SY32: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY32 )
| ( r @ SY32 ) ) )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(155,plain,
( ( ( ! [SY35: $i] :
( ~ ( rel_s4 @ sK4_SY13 @ SY35 )
| ( r @ SY35 ) ) )
= $false )
| ( ( rel_s4 @ sK4_SY13 @ sK8_SY34 )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(156,plain,
( ( ( ~ ( rel_s4 @ sK4_SY13 @ sK17_SY35 )
| ( r @ sK17_SY35 ) )
= $false )
| ( ( q @ sK8_SY34 )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[134]) ).
thf(157,plain,
! [SV10: $i,SV9: $i] :
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(158,plain,
! [SV11: $i,SV9: $i] :
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(159,plain,
( ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(160,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(161,plain,
( ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(162,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(163,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(164,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK18_SY13 )
| ~ ~ ( ~ ( ! [SY36: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY36 )
| ( p @ SY36 ) )
| ! [SY37: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY37 )
| ( q @ SY37 ) ) )
| ~ ( ! [SY38: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY38 )
| ( p @ SY38 ) )
| ! [SY39: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY39 )
| ( r @ SY39 ) ) ) )
| ! [SY40: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY40 )
| ( p @ SY40 ) )
| ~ ( ~ ! [SY41: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY41 )
| ( q @ SY41 ) )
| ~ ! [SY42: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY42 )
| ( r @ SY42 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[142]) ).
thf(165,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(166,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK19_SY13 )
| ~ ~ ( ~ ( ! [SY43: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY43 )
| ( p @ SY43 ) )
| ! [SY44: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY44 )
| ( q @ SY44 ) ) )
| ~ ( ! [SY45: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY45 )
| ( p @ SY45 ) )
| ! [SY46: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY46 )
| ( r @ SY46 ) ) ) )
| ! [SY47: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY47 )
| ( p @ SY47 ) )
| ~ ( ~ ! [SY48: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY48 )
| ( q @ SY48 ) )
| ~ ! [SY49: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY49 )
| ( r @ SY49 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[144]) ).
thf(167,plain,
( ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(168,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(169,plain,
( ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( ~ ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(170,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(171,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(172,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK20_SY13 )
| ~ ~ ( ~ ( ! [SY50: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY50 )
| ( p @ SY50 ) )
| ! [SY51: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY51 )
| ( q @ SY51 ) ) )
| ~ ( ! [SY52: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY52 )
| ( p @ SY52 ) )
| ! [SY53: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY53 )
| ( r @ SY53 ) ) ) )
| ! [SY54: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY54 )
| ( p @ SY54 ) )
| ~ ( ~ ! [SY55: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY55 )
| ( q @ SY55 ) )
| ~ ! [SY56: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY56 )
| ( r @ SY56 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[150]) ).
thf(173,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(174,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK21_SY13 )
| ~ ~ ( ~ ( ! [SY57: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY57 )
| ( p @ SY57 ) )
| ! [SY58: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY58 )
| ( q @ SY58 ) ) )
| ~ ( ! [SY59: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY59 )
| ( p @ SY59 ) )
| ! [SY60: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY60 )
| ( r @ SY60 ) ) ) )
| ! [SY61: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY61 )
| ( p @ SY61 ) )
| ~ ( ~ ! [SY62: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY62 )
| ( q @ SY62 ) )
| ~ ! [SY63: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY63 )
| ( r @ SY63 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[152]) ).
thf(175,plain,
! [SV12: $i,SV14: $i] :
( ( ( ~ ( rel_s4 @ sK4_SY13 @ SV14 )
| ( q @ SV14 ) )
= $true )
| ( ( p @ SV12 )
= $true )
| ( ( rel_s4 @ sK4_SY13 @ SV12 )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(176,plain,
! [SV13: $i,SV15: $i] :
( ( ( ~ ( rel_s4 @ sK4_SY13 @ SV15 )
| ( r @ SV15 ) )
= $true )
| ( ( p @ SV13 )
= $true )
| ( ( rel_s4 @ sK4_SY13 @ SV13 )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(177,plain,
( ( ( ~ ( rel_s4 @ sK4_SY13 @ sK22_SY35 )
| ( r @ sK22_SY35 ) )
= $false )
| ( ( rel_s4 @ sK4_SY13 @ sK8_SY34 )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[155]) ).
thf(178,plain,
( ( ( ~ ( rel_s4 @ sK4_SY13 @ sK17_SY35 ) )
= $false )
| ( ( q @ sK8_SY34 )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(179,plain,
( ( ( r @ sK17_SY35 )
= $false )
| ( ( q @ sK8_SY34 )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(180,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ sK2_SX0 @ ( sK23_SY13 @ SV10 @ SV9 ) )
| ~ ~ ( ~ ( ! [SY64: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY64 )
| ( p @ SY64 ) )
| ! [SY65: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY65 )
| ( q @ SY65 ) ) )
| ~ ( ! [SY66: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY66 )
| ( p @ SY66 ) )
| ! [SY67: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY67 )
| ( r @ SY67 ) ) ) )
| ! [SY68: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY68 )
| ( p @ SY68 ) )
| ~ ( ~ ! [SY69: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY69 )
| ( q @ SY69 ) )
| ~ ! [SY70: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY70 )
| ( r @ SY70 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[157]) ).
thf(181,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ sK2_SX0 @ ( sK24_SY13 @ SV11 @ SV9 ) )
| ~ ~ ( ~ ( ! [SY71: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY71 )
| ( p @ SY71 ) )
| ! [SY72: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY72 )
| ( q @ SY72 ) ) )
| ~ ( ! [SY73: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY73 )
| ( p @ SY73 ) )
| ! [SY74: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY74 )
| ( r @ SY74 ) ) ) )
| ! [SY75: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY75 )
| ( p @ SY75 ) )
| ~ ( ~ ! [SY76: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY76 )
| ( q @ SY76 ) )
| ~ ! [SY77: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY77 )
| ( r @ SY77 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[158]) ).
thf(182,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(183,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK25_SY13 )
| ~ ~ ( ~ ( ! [SY78: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY78 )
| ( p @ SY78 ) )
| ! [SY79: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY79 )
| ( q @ SY79 ) ) )
| ~ ( ! [SY80: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY80 )
| ( p @ SY80 ) )
| ! [SY81: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY81 )
| ( r @ SY81 ) ) ) )
| ! [SY82: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY82 )
| ( p @ SY82 ) )
| ~ ( ~ ! [SY83: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY83 )
| ( q @ SY83 ) )
| ~ ! [SY84: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY84 )
| ( r @ SY84 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[160]) ).
thf(184,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(185,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK26_SY13 )
| ~ ~ ( ~ ( ! [SY85: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY85 )
| ( p @ SY85 ) )
| ! [SY86: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY86 )
| ( q @ SY86 ) ) )
| ~ ( ! [SY87: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY87 )
| ( p @ SY87 ) )
| ! [SY88: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY88 )
| ( r @ SY88 ) ) ) )
| ! [SY89: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY89 )
| ( p @ SY89 ) )
| ~ ( ~ ! [SY90: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY90 )
| ( q @ SY90 ) )
| ~ ! [SY91: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY91 )
| ( r @ SY91 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[162]) ).
thf(186,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK27_SY13 )
| ~ ~ ( ~ ( ! [SY92: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY92 )
| ( p @ SY92 ) )
| ! [SY93: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY93 )
| ( q @ SY93 ) ) )
| ~ ( ! [SY94: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY94 )
| ( p @ SY94 ) )
| ! [SY95: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY95 )
| ( r @ SY95 ) ) ) )
| ! [SY96: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY96 )
| ( p @ SY96 ) )
| ~ ( ~ ! [SY97: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY97 )
| ( q @ SY97 ) )
| ~ ! [SY98: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY98 )
| ( r @ SY98 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[163]) ).
thf(187,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK18_SY13 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(188,plain,
( ( ( ~ ~ ( ~ ( ! [SY36: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY36 )
| ( p @ SY36 ) )
| ! [SY37: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY37 )
| ( q @ SY37 ) ) )
| ~ ( ! [SY38: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY38 )
| ( p @ SY38 ) )
| ! [SY39: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY39 )
| ( r @ SY39 ) ) ) )
| ! [SY40: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY40 )
| ( p @ SY40 ) )
| ~ ( ~ ! [SY41: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY41 )
| ( q @ SY41 ) )
| ~ ! [SY42: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY42 )
| ( r @ SY42 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(189,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK28_SY13 )
| ~ ~ ( ~ ( ! [SY99: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY99 )
| ( p @ SY99 ) )
| ! [SY100: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY100 )
| ( q @ SY100 ) ) )
| ~ ( ! [SY101: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY101 )
| ( p @ SY101 ) )
| ! [SY102: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY102 )
| ( r @ SY102 ) ) ) )
| ! [SY103: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY103 )
| ( p @ SY103 ) )
| ~ ( ~ ! [SY104: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY104 )
| ( q @ SY104 ) )
| ~ ! [SY105: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY105 )
| ( r @ SY105 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[165]) ).
thf(190,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK19_SY13 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(191,plain,
( ( ( ~ ~ ( ~ ( ! [SY43: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY43 )
| ( p @ SY43 ) )
| ! [SY44: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY44 )
| ( q @ SY44 ) ) )
| ~ ( ! [SY45: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY45 )
| ( p @ SY45 ) )
| ! [SY46: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY46 )
| ( r @ SY46 ) ) ) )
| ! [SY47: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY47 )
| ( p @ SY47 ) )
| ~ ( ~ ! [SY48: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY48 )
| ( q @ SY48 ) )
| ~ ! [SY49: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY49 )
| ( r @ SY49 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(192,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(193,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK29_SY13 )
| ~ ~ ( ~ ( ! [SY106: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY106 )
| ( p @ SY106 ) )
| ! [SY107: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY107 )
| ( q @ SY107 ) ) )
| ~ ( ! [SY108: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY108 )
| ( p @ SY108 ) )
| ! [SY109: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY109 )
| ( r @ SY109 ) ) ) )
| ! [SY110: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY110 )
| ( p @ SY110 ) )
| ~ ( ~ ! [SY111: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY111 )
| ( q @ SY111 ) )
| ~ ! [SY112: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY112 )
| ( r @ SY112 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[168]) ).
thf(194,plain,
( ( ( ! [SY13: $i] :
( ~ ( rel_s4 @ sK2_SX0 @ SY13 )
| ~ ~ ( ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) ) )
| ~ ( ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) )
| ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( p @ SX2 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( q @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( rel_s4 @ SY13 @ SX2 )
| ( r @ SX2 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(195,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK30_SY13 )
| ~ ~ ( ~ ( ! [SY113: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY113 )
| ( p @ SY113 ) )
| ! [SY114: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY114 )
| ( q @ SY114 ) ) )
| ~ ( ! [SY115: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY115 )
| ( p @ SY115 ) )
| ! [SY116: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY116 )
| ( r @ SY116 ) ) ) )
| ! [SY117: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY117 )
| ( p @ SY117 ) )
| ~ ( ~ ! [SY118: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY118 )
| ( q @ SY118 ) )
| ~ ! [SY119: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY119 )
| ( r @ SY119 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[170]) ).
thf(196,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK31_SY13 )
| ~ ~ ( ~ ( ! [SY120: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY120 )
| ( p @ SY120 ) )
| ! [SY121: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY121 )
| ( q @ SY121 ) ) )
| ~ ( ! [SY122: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY122 )
| ( p @ SY122 ) )
| ! [SY123: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY123 )
| ( r @ SY123 ) ) ) )
| ! [SY124: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY124 )
| ( p @ SY124 ) )
| ~ ( ~ ! [SY125: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY125 )
| ( q @ SY125 ) )
| ~ ! [SY126: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY126 )
| ( r @ SY126 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[171]) ).
thf(197,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK20_SY13 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(198,plain,
( ( ( ~ ~ ( ~ ( ! [SY50: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY50 )
| ( p @ SY50 ) )
| ! [SY51: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY51 )
| ( q @ SY51 ) ) )
| ~ ( ! [SY52: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY52 )
| ( p @ SY52 ) )
| ! [SY53: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY53 )
| ( r @ SY53 ) ) ) )
| ! [SY54: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY54 )
| ( p @ SY54 ) )
| ~ ( ~ ! [SY55: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY55 )
| ( q @ SY55 ) )
| ~ ! [SY56: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY56 )
| ( r @ SY56 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(199,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK32_SY13 )
| ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY127 )
| ( p @ SY127 ) )
| ! [SY128: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY128 )
| ( q @ SY128 ) ) )
| ~ ( ! [SY129: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY129 )
| ( p @ SY129 ) )
| ! [SY130: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY130 )
| ( r @ SY130 ) ) ) )
| ! [SY131: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY131 )
| ( p @ SY131 ) )
| ~ ( ~ ! [SY132: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY132 )
| ( q @ SY132 ) )
| ~ ! [SY133: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY133 )
| ( r @ SY133 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[173]) ).
thf(200,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK21_SY13 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(201,plain,
( ( ( ~ ~ ( ~ ( ! [SY57: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY57 )
| ( p @ SY57 ) )
| ! [SY58: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY58 )
| ( q @ SY58 ) ) )
| ~ ( ! [SY59: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY59 )
| ( p @ SY59 ) )
| ! [SY60: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY60 )
| ( r @ SY60 ) ) ) )
| ! [SY61: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY61 )
| ( p @ SY61 ) )
| ~ ( ~ ! [SY62: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY62 )
| ( q @ SY62 ) )
| ~ ! [SY63: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY63 )
| ( r @ SY63 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(202,plain,
! [SV12: $i,SV14: $i] :
( ( ( ~ ( rel_s4 @ sK4_SY13 @ SV14 ) )
= $true )
| ( ( q @ SV14 )
= $true )
| ( ( p @ SV12 )
= $true )
| ( ( rel_s4 @ sK4_SY13 @ SV12 )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(203,plain,
! [SV13: $i,SV15: $i] :
( ( ( ~ ( rel_s4 @ sK4_SY13 @ SV15 ) )
= $true )
| ( ( r @ SV15 )
= $true )
| ( ( p @ SV13 )
= $true )
| ( ( rel_s4 @ sK4_SY13 @ SV13 )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(204,plain,
( ( ( ~ ( rel_s4 @ sK4_SY13 @ sK22_SY35 ) )
= $false )
| ( ( rel_s4 @ sK4_SY13 @ sK8_SY34 )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(205,plain,
( ( ( r @ sK22_SY35 )
= $false )
| ( ( rel_s4 @ sK4_SY13 @ sK8_SY34 )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(206,plain,
( ( ( rel_s4 @ sK4_SY13 @ sK17_SY35 )
= $true )
| ( ( q @ sK8_SY34 )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(207,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ sK2_SX0 @ ( sK23_SY13 @ SV10 @ SV9 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(208,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( ! [SY64: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY64 )
| ( p @ SY64 ) )
| ! [SY65: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY65 )
| ( q @ SY65 ) ) )
| ~ ( ! [SY66: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY66 )
| ( p @ SY66 ) )
| ! [SY67: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY67 )
| ( r @ SY67 ) ) ) )
| ! [SY68: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY68 )
| ( p @ SY68 ) )
| ~ ( ~ ! [SY69: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY69 )
| ( q @ SY69 ) )
| ~ ! [SY70: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY70 )
| ( r @ SY70 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(209,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ sK2_SX0 @ ( sK24_SY13 @ SV11 @ SV9 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(210,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( ! [SY71: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY71 )
| ( p @ SY71 ) )
| ! [SY72: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY72 )
| ( q @ SY72 ) ) )
| ~ ( ! [SY73: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY73 )
| ( p @ SY73 ) )
| ! [SY74: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY74 )
| ( r @ SY74 ) ) ) )
| ! [SY75: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY75 )
| ( p @ SY75 ) )
| ~ ( ~ ! [SY76: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY76 )
| ( q @ SY76 ) )
| ~ ! [SY77: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY77 )
| ( r @ SY77 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(211,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK33_SY13 )
| ~ ~ ( ~ ( ! [SY134: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY134 )
| ( p @ SY134 ) )
| ! [SY135: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY135 )
| ( q @ SY135 ) ) )
| ~ ( ! [SY136: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY136 )
| ( p @ SY136 ) )
| ! [SY137: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY137 )
| ( r @ SY137 ) ) ) )
| ! [SY138: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY138 )
| ( p @ SY138 ) )
| ~ ( ~ ! [SY139: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY139 )
| ( q @ SY139 ) )
| ~ ! [SY140: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY140 )
| ( r @ SY140 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[182]) ).
thf(212,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK25_SY13 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(213,plain,
( ( ( ~ ~ ( ~ ( ! [SY78: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY78 )
| ( p @ SY78 ) )
| ! [SY79: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY79 )
| ( q @ SY79 ) ) )
| ~ ( ! [SY80: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY80 )
| ( p @ SY80 ) )
| ! [SY81: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY81 )
| ( r @ SY81 ) ) ) )
| ! [SY82: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY82 )
| ( p @ SY82 ) )
| ~ ( ~ ! [SY83: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY83 )
| ( q @ SY83 ) )
| ~ ! [SY84: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY84 )
| ( r @ SY84 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(214,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK34_SY13 )
| ~ ~ ( ~ ( ! [SY141: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY141 )
| ( p @ SY141 ) )
| ! [SY142: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY142 )
| ( q @ SY142 ) ) )
| ~ ( ! [SY143: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY143 )
| ( p @ SY143 ) )
| ! [SY144: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY144 )
| ( r @ SY144 ) ) ) )
| ! [SY145: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY145 )
| ( p @ SY145 ) )
| ~ ( ~ ! [SY146: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY146 )
| ( q @ SY146 ) )
| ~ ! [SY147: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY147 )
| ( r @ SY147 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[184]) ).
thf(215,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK26_SY13 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(216,plain,
( ( ( ~ ~ ( ~ ( ! [SY85: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY85 )
| ( p @ SY85 ) )
| ! [SY86: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY86 )
| ( q @ SY86 ) ) )
| ~ ( ! [SY87: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY87 )
| ( p @ SY87 ) )
| ! [SY88: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY88 )
| ( r @ SY88 ) ) ) )
| ! [SY89: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY89 )
| ( p @ SY89 ) )
| ~ ( ~ ! [SY90: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY90 )
| ( q @ SY90 ) )
| ~ ! [SY91: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY91 )
| ( r @ SY91 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(217,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK27_SY13 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(218,plain,
( ( ( ~ ~ ( ~ ( ! [SY92: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY92 )
| ( p @ SY92 ) )
| ! [SY93: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY93 )
| ( q @ SY93 ) ) )
| ~ ( ! [SY94: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY94 )
| ( p @ SY94 ) )
| ! [SY95: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY95 )
| ( r @ SY95 ) ) ) )
| ! [SY96: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY96 )
| ( p @ SY96 ) )
| ~ ( ~ ! [SY97: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY97 )
| ( q @ SY97 ) )
| ~ ! [SY98: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY98 )
| ( r @ SY98 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(219,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK18_SY13 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(220,plain,
( ( ( ~ ~ ( ~ ( ! [SY36: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY36 )
| ( p @ SY36 ) )
| ! [SY37: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY37 )
| ( q @ SY37 ) ) )
| ~ ( ! [SY38: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY38 )
| ( p @ SY38 ) )
| ! [SY39: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY39 )
| ( r @ SY39 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(221,plain,
( ( ( ! [SY40: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY40 )
| ( p @ SY40 ) )
| ~ ( ~ ! [SY41: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY41 )
| ( q @ SY41 ) )
| ~ ! [SY42: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY42 )
| ( r @ SY42 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(222,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK28_SY13 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(223,plain,
( ( ( ~ ~ ( ~ ( ! [SY99: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY99 )
| ( p @ SY99 ) )
| ! [SY100: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY100 )
| ( q @ SY100 ) ) )
| ~ ( ! [SY101: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY101 )
| ( p @ SY101 ) )
| ! [SY102: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY102 )
| ( r @ SY102 ) ) ) )
| ! [SY103: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY103 )
| ( p @ SY103 ) )
| ~ ( ~ ! [SY104: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY104 )
| ( q @ SY104 ) )
| ~ ! [SY105: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY105 )
| ( r @ SY105 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(224,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK19_SY13 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(225,plain,
( ( ( ~ ~ ( ~ ( ! [SY43: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY43 )
| ( p @ SY43 ) )
| ! [SY44: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY44 )
| ( q @ SY44 ) ) )
| ~ ( ! [SY45: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY45 )
| ( p @ SY45 ) )
| ! [SY46: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY46 )
| ( r @ SY46 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(226,plain,
( ( ( ! [SY47: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY47 )
| ( p @ SY47 ) )
| ~ ( ~ ! [SY48: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY48 )
| ( q @ SY48 ) )
| ~ ! [SY49: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY49 )
| ( r @ SY49 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(227,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK35_SY13 )
| ~ ~ ( ~ ( ! [SY148: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY148 )
| ( p @ SY148 ) )
| ! [SY149: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY149 )
| ( q @ SY149 ) ) )
| ~ ( ! [SY150: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY150 )
| ( p @ SY150 ) )
| ! [SY151: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY151 )
| ( r @ SY151 ) ) ) )
| ! [SY152: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY152 )
| ( p @ SY152 ) )
| ~ ( ~ ! [SY153: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY153 )
| ( q @ SY153 ) )
| ~ ! [SY154: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY154 )
| ( r @ SY154 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[192]) ).
thf(228,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK29_SY13 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(229,plain,
( ( ( ~ ~ ( ~ ( ! [SY106: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY106 )
| ( p @ SY106 ) )
| ! [SY107: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY107 )
| ( q @ SY107 ) ) )
| ~ ( ! [SY108: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY108 )
| ( p @ SY108 ) )
| ! [SY109: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY109 )
| ( r @ SY109 ) ) ) )
| ! [SY110: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY110 )
| ( p @ SY110 ) )
| ~ ( ~ ! [SY111: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY111 )
| ( q @ SY111 ) )
| ~ ! [SY112: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY112 )
| ( r @ SY112 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(230,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK36_SY13 )
| ~ ~ ( ~ ( ! [SY155: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY155 )
| ( p @ SY155 ) )
| ! [SY156: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY156 )
| ( q @ SY156 ) ) )
| ~ ( ! [SY157: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY157 )
| ( p @ SY157 ) )
| ! [SY158: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY158 )
| ( r @ SY158 ) ) ) )
| ! [SY159: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY159 )
| ( p @ SY159 ) )
| ~ ( ~ ! [SY160: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY160 )
| ( q @ SY160 ) )
| ~ ! [SY161: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY161 )
| ( r @ SY161 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[194]) ).
thf(231,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK30_SY13 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(232,plain,
( ( ( ~ ~ ( ~ ( ! [SY113: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY113 )
| ( p @ SY113 ) )
| ! [SY114: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY114 )
| ( q @ SY114 ) ) )
| ~ ( ! [SY115: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY115 )
| ( p @ SY115 ) )
| ! [SY116: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY116 )
| ( r @ SY116 ) ) ) )
| ! [SY117: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY117 )
| ( p @ SY117 ) )
| ~ ( ~ ! [SY118: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY118 )
| ( q @ SY118 ) )
| ~ ! [SY119: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY119 )
| ( r @ SY119 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(233,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK31_SY13 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(234,plain,
( ( ( ~ ~ ( ~ ( ! [SY120: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY120 )
| ( p @ SY120 ) )
| ! [SY121: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY121 )
| ( q @ SY121 ) ) )
| ~ ( ! [SY122: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY122 )
| ( p @ SY122 ) )
| ! [SY123: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY123 )
| ( r @ SY123 ) ) ) )
| ! [SY124: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY124 )
| ( p @ SY124 ) )
| ~ ( ~ ! [SY125: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY125 )
| ( q @ SY125 ) )
| ~ ! [SY126: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY126 )
| ( r @ SY126 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(235,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK20_SY13 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(236,plain,
( ( ( ~ ~ ( ~ ( ! [SY50: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY50 )
| ( p @ SY50 ) )
| ! [SY51: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY51 )
| ( q @ SY51 ) ) )
| ~ ( ! [SY52: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY52 )
| ( p @ SY52 ) )
| ! [SY53: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY53 )
| ( r @ SY53 ) ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(237,plain,
( ( ( ! [SY54: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY54 )
| ( p @ SY54 ) )
| ~ ( ~ ! [SY55: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY55 )
| ( q @ SY55 ) )
| ~ ! [SY56: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY56 )
| ( r @ SY56 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(238,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK32_SY13 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(239,plain,
( ( ( ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY127 )
| ( p @ SY127 ) )
| ! [SY128: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY128 )
| ( q @ SY128 ) ) )
| ~ ( ! [SY129: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY129 )
| ( p @ SY129 ) )
| ! [SY130: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY130 )
| ( r @ SY130 ) ) ) )
| ! [SY131: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY131 )
| ( p @ SY131 ) )
| ~ ( ~ ! [SY132: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY132 )
| ( q @ SY132 ) )
| ~ ! [SY133: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY133 )
| ( r @ SY133 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(240,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK21_SY13 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(241,plain,
( ( ( ~ ~ ( ~ ( ! [SY57: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY57 )
| ( p @ SY57 ) )
| ! [SY58: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY58 )
| ( q @ SY58 ) ) )
| ~ ( ! [SY59: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY59 )
| ( p @ SY59 ) )
| ! [SY60: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY60 )
| ( r @ SY60 ) ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(242,plain,
( ( ( ! [SY61: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY61 )
| ( p @ SY61 ) )
| ~ ( ~ ! [SY62: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY62 )
| ( q @ SY62 ) )
| ~ ! [SY63: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY63 )
| ( r @ SY63 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(243,plain,
! [SV12: $i,SV14: $i] :
( ( ( rel_s4 @ sK4_SY13 @ SV14 )
= $false )
| ( ( q @ SV14 )
= $true )
| ( ( p @ SV12 )
= $true )
| ( ( rel_s4 @ sK4_SY13 @ SV12 )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(244,plain,
! [SV13: $i,SV15: $i] :
( ( ( rel_s4 @ sK4_SY13 @ SV15 )
= $false )
| ( ( r @ SV15 )
= $true )
| ( ( p @ SV13 )
= $true )
| ( ( rel_s4 @ sK4_SY13 @ SV13 )
= $false )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(245,plain,
( ( ( rel_s4 @ sK4_SY13 @ sK22_SY35 )
= $true )
| ( ( rel_s4 @ sK4_SY13 @ sK8_SY34 )
= $true )
| ( ( rel_s4 @ sK2_SX0 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(246,plain,
! [SV9: $i,SV10: $i] :
( ( ( rel_s4 @ sK2_SX0 @ ( sK23_SY13 @ SV10 @ SV9 ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(247,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( ! [SY64: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY64 )
| ( p @ SY64 ) )
| ! [SY65: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY65 )
| ( q @ SY65 ) ) )
| ~ ( ! [SY66: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY66 )
| ( p @ SY66 ) )
| ! [SY67: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY67 )
| ( r @ SY67 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(248,plain,
! [SV9: $i,SV10: $i] :
( ( ( ! [SY68: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY68 )
| ( p @ SY68 ) )
| ~ ( ~ ! [SY69: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY69 )
| ( q @ SY69 ) )
| ~ ! [SY70: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY70 )
| ( r @ SY70 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(249,plain,
! [SV9: $i,SV11: $i] :
( ( ( rel_s4 @ sK2_SX0 @ ( sK24_SY13 @ SV11 @ SV9 ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(250,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( ! [SY71: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY71 )
| ( p @ SY71 ) )
| ! [SY72: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY72 )
| ( q @ SY72 ) ) )
| ~ ( ! [SY73: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY73 )
| ( p @ SY73 ) )
| ! [SY74: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY74 )
| ( r @ SY74 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(251,plain,
! [SV9: $i,SV11: $i] :
( ( ( ! [SY75: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY75 )
| ( p @ SY75 ) )
| ~ ( ~ ! [SY76: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY76 )
| ( q @ SY76 ) )
| ~ ! [SY77: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY77 )
| ( r @ SY77 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(252,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK33_SY13 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(253,plain,
( ( ( ~ ~ ( ~ ( ! [SY134: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY134 )
| ( p @ SY134 ) )
| ! [SY135: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY135 )
| ( q @ SY135 ) ) )
| ~ ( ! [SY136: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY136 )
| ( p @ SY136 ) )
| ! [SY137: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY137 )
| ( r @ SY137 ) ) ) )
| ! [SY138: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY138 )
| ( p @ SY138 ) )
| ~ ( ~ ! [SY139: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY139 )
| ( q @ SY139 ) )
| ~ ! [SY140: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY140 )
| ( r @ SY140 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(254,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK25_SY13 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(255,plain,
( ( ( ~ ~ ( ~ ( ! [SY78: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY78 )
| ( p @ SY78 ) )
| ! [SY79: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY79 )
| ( q @ SY79 ) ) )
| ~ ( ! [SY80: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY80 )
| ( p @ SY80 ) )
| ! [SY81: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY81 )
| ( r @ SY81 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(256,plain,
( ( ( ! [SY82: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY82 )
| ( p @ SY82 ) )
| ~ ( ~ ! [SY83: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY83 )
| ( q @ SY83 ) )
| ~ ! [SY84: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY84 )
| ( r @ SY84 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(257,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK34_SY13 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(258,plain,
( ( ( ~ ~ ( ~ ( ! [SY141: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY141 )
| ( p @ SY141 ) )
| ! [SY142: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY142 )
| ( q @ SY142 ) ) )
| ~ ( ! [SY143: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY143 )
| ( p @ SY143 ) )
| ! [SY144: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY144 )
| ( r @ SY144 ) ) ) )
| ! [SY145: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY145 )
| ( p @ SY145 ) )
| ~ ( ~ ! [SY146: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY146 )
| ( q @ SY146 ) )
| ~ ! [SY147: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY147 )
| ( r @ SY147 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(259,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK26_SY13 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(260,plain,
( ( ( ~ ~ ( ~ ( ! [SY85: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY85 )
| ( p @ SY85 ) )
| ! [SY86: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY86 )
| ( q @ SY86 ) ) )
| ~ ( ! [SY87: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY87 )
| ( p @ SY87 ) )
| ! [SY88: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY88 )
| ( r @ SY88 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(261,plain,
( ( ( ! [SY89: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY89 )
| ( p @ SY89 ) )
| ~ ( ~ ! [SY90: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY90 )
| ( q @ SY90 ) )
| ~ ! [SY91: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY91 )
| ( r @ SY91 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(262,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK27_SY13 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(263,plain,
( ( ( ~ ~ ( ~ ( ! [SY92: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY92 )
| ( p @ SY92 ) )
| ! [SY93: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY93 )
| ( q @ SY93 ) ) )
| ~ ( ! [SY94: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY94 )
| ( p @ SY94 ) )
| ! [SY95: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY95 )
| ( r @ SY95 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(264,plain,
( ( ( ! [SY96: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY96 )
| ( p @ SY96 ) )
| ~ ( ~ ! [SY97: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY97 )
| ( q @ SY97 ) )
| ~ ! [SY98: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY98 )
| ( r @ SY98 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(265,plain,
( ( ( ~ ( ~ ( ! [SY36: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY36 )
| ( p @ SY36 ) )
| ! [SY37: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY37 )
| ( q @ SY37 ) ) )
| ~ ( ! [SY38: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY38 )
| ( p @ SY38 ) )
| ! [SY39: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY39 )
| ( r @ SY39 ) ) ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(266,plain,
( ( ( ! [SY40: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY40 )
| ( p @ SY40 ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(267,plain,
( ( ( ~ ( ~ ! [SY41: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY41 )
| ( q @ SY41 ) )
| ~ ! [SY42: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY42 )
| ( r @ SY42 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(268,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK28_SY13 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(269,plain,
( ( ( ~ ~ ( ~ ( ! [SY99: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY99 )
| ( p @ SY99 ) )
| ! [SY100: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY100 )
| ( q @ SY100 ) ) )
| ~ ( ! [SY101: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY101 )
| ( p @ SY101 ) )
| ! [SY102: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY102 )
| ( r @ SY102 ) ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(270,plain,
( ( ( ! [SY103: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY103 )
| ( p @ SY103 ) )
| ~ ( ~ ! [SY104: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY104 )
| ( q @ SY104 ) )
| ~ ! [SY105: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY105 )
| ( r @ SY105 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(271,plain,
( ( ( ~ ( ~ ( ! [SY43: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY43 )
| ( p @ SY43 ) )
| ! [SY44: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY44 )
| ( q @ SY44 ) ) )
| ~ ( ! [SY45: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY45 )
| ( p @ SY45 ) )
| ! [SY46: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY46 )
| ( r @ SY46 ) ) ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(272,plain,
( ( ( ! [SY47: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY47 )
| ( p @ SY47 ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(273,plain,
( ( ( ~ ( ~ ! [SY48: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY48 )
| ( q @ SY48 ) )
| ~ ! [SY49: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY49 )
| ( r @ SY49 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(274,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK35_SY13 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(275,plain,
( ( ( ~ ~ ( ~ ( ! [SY148: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY148 )
| ( p @ SY148 ) )
| ! [SY149: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY149 )
| ( q @ SY149 ) ) )
| ~ ( ! [SY150: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY150 )
| ( p @ SY150 ) )
| ! [SY151: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY151 )
| ( r @ SY151 ) ) ) )
| ! [SY152: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY152 )
| ( p @ SY152 ) )
| ~ ( ~ ! [SY153: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY153 )
| ( q @ SY153 ) )
| ~ ! [SY154: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY154 )
| ( r @ SY154 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(276,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK29_SY13 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(277,plain,
( ( ( ~ ~ ( ~ ( ! [SY106: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY106 )
| ( p @ SY106 ) )
| ! [SY107: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY107 )
| ( q @ SY107 ) ) )
| ~ ( ! [SY108: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY108 )
| ( p @ SY108 ) )
| ! [SY109: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY109 )
| ( r @ SY109 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(278,plain,
( ( ( ! [SY110: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY110 )
| ( p @ SY110 ) )
| ~ ( ~ ! [SY111: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY111 )
| ( q @ SY111 ) )
| ~ ! [SY112: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY112 )
| ( r @ SY112 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(279,plain,
( ( ( ~ ( rel_s4 @ sK2_SX0 @ sK36_SY13 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(280,plain,
( ( ( ~ ~ ( ~ ( ! [SY155: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY155 )
| ( p @ SY155 ) )
| ! [SY156: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY156 )
| ( q @ SY156 ) ) )
| ~ ( ! [SY157: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY157 )
| ( p @ SY157 ) )
| ! [SY158: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY158 )
| ( r @ SY158 ) ) ) )
| ! [SY159: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY159 )
| ( p @ SY159 ) )
| ~ ( ~ ! [SY160: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY160 )
| ( q @ SY160 ) )
| ~ ! [SY161: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY161 )
| ( r @ SY161 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(281,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK30_SY13 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(282,plain,
( ( ( ~ ~ ( ~ ( ! [SY113: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY113 )
| ( p @ SY113 ) )
| ! [SY114: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY114 )
| ( q @ SY114 ) ) )
| ~ ( ! [SY115: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY115 )
| ( p @ SY115 ) )
| ! [SY116: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY116 )
| ( r @ SY116 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(283,plain,
( ( ( ! [SY117: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY117 )
| ( p @ SY117 ) )
| ~ ( ~ ! [SY118: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY118 )
| ( q @ SY118 ) )
| ~ ! [SY119: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY119 )
| ( r @ SY119 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(284,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK31_SY13 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(285,plain,
( ( ( ~ ~ ( ~ ( ! [SY120: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY120 )
| ( p @ SY120 ) )
| ! [SY121: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY121 )
| ( q @ SY121 ) ) )
| ~ ( ! [SY122: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY122 )
| ( p @ SY122 ) )
| ! [SY123: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY123 )
| ( r @ SY123 ) ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(286,plain,
( ( ( ! [SY124: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY124 )
| ( p @ SY124 ) )
| ~ ( ~ ! [SY125: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY125 )
| ( q @ SY125 ) )
| ~ ! [SY126: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY126 )
| ( r @ SY126 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(287,plain,
( ( ( ~ ( ~ ( ! [SY50: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY50 )
| ( p @ SY50 ) )
| ! [SY51: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY51 )
| ( q @ SY51 ) ) )
| ~ ( ! [SY52: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY52 )
| ( p @ SY52 ) )
| ! [SY53: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY53 )
| ( r @ SY53 ) ) ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(288,plain,
( ( ( ! [SY54: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY54 )
| ( p @ SY54 ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(289,plain,
( ( ( ~ ( ~ ! [SY55: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY55 )
| ( q @ SY55 ) )
| ~ ! [SY56: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY56 )
| ( r @ SY56 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(290,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK32_SY13 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(291,plain,
( ( ( ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY127 )
| ( p @ SY127 ) )
| ! [SY128: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY128 )
| ( q @ SY128 ) ) )
| ~ ( ! [SY129: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY129 )
| ( p @ SY129 ) )
| ! [SY130: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY130 )
| ( r @ SY130 ) ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(292,plain,
( ( ( ! [SY131: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY131 )
| ( p @ SY131 ) )
| ~ ( ~ ! [SY132: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY132 )
| ( q @ SY132 ) )
| ~ ! [SY133: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY133 )
| ( r @ SY133 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(293,plain,
( ( ( ~ ( ~ ( ! [SY57: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY57 )
| ( p @ SY57 ) )
| ! [SY58: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY58 )
| ( q @ SY58 ) ) )
| ~ ( ! [SY59: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY59 )
| ( p @ SY59 ) )
| ! [SY60: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY60 )
| ( r @ SY60 ) ) ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(294,plain,
( ( ( ! [SY61: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY61 )
| ( p @ SY61 ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(295,plain,
( ( ( ~ ( ~ ! [SY62: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY62 )
| ( q @ SY62 ) )
| ~ ! [SY63: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY63 )
| ( r @ SY63 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(296,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( ~ ( ! [SY64: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY64 )
| ( p @ SY64 ) )
| ! [SY65: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY65 )
| ( q @ SY65 ) ) )
| ~ ( ! [SY66: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY66 )
| ( p @ SY66 ) )
| ! [SY67: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY67 )
| ( r @ SY67 ) ) ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(297,plain,
! [SV9: $i,SV10: $i] :
( ( ( ! [SY68: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY68 )
| ( p @ SY68 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(298,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( ~ ! [SY69: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY69 )
| ( q @ SY69 ) )
| ~ ! [SY70: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY70 )
| ( r @ SY70 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(299,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( ~ ( ! [SY71: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY71 )
| ( p @ SY71 ) )
| ! [SY72: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY72 )
| ( q @ SY72 ) ) )
| ~ ( ! [SY73: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY73 )
| ( p @ SY73 ) )
| ! [SY74: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY74 )
| ( r @ SY74 ) ) ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(300,plain,
! [SV9: $i,SV11: $i] :
( ( ( ! [SY75: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY75 )
| ( p @ SY75 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(301,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( ~ ! [SY76: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY76 )
| ( q @ SY76 ) )
| ~ ! [SY77: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY77 )
| ( r @ SY77 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(302,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK33_SY13 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(303,plain,
( ( ( ~ ~ ( ~ ( ! [SY134: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY134 )
| ( p @ SY134 ) )
| ! [SY135: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY135 )
| ( q @ SY135 ) ) )
| ~ ( ! [SY136: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY136 )
| ( p @ SY136 ) )
| ! [SY137: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY137 )
| ( r @ SY137 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(304,plain,
( ( ( ! [SY138: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY138 )
| ( p @ SY138 ) )
| ~ ( ~ ! [SY139: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY139 )
| ( q @ SY139 ) )
| ~ ! [SY140: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY140 )
| ( r @ SY140 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(305,plain,
( ( ( ~ ( ~ ( ! [SY78: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY78 )
| ( p @ SY78 ) )
| ! [SY79: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY79 )
| ( q @ SY79 ) ) )
| ~ ( ! [SY80: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY80 )
| ( p @ SY80 ) )
| ! [SY81: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY81 )
| ( r @ SY81 ) ) ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(306,plain,
( ( ( ! [SY82: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY82 )
| ( p @ SY82 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(307,plain,
( ( ( ~ ( ~ ! [SY83: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY83 )
| ( q @ SY83 ) )
| ~ ! [SY84: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY84 )
| ( r @ SY84 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(308,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK34_SY13 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(309,plain,
( ( ( ~ ~ ( ~ ( ! [SY141: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY141 )
| ( p @ SY141 ) )
| ! [SY142: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY142 )
| ( q @ SY142 ) ) )
| ~ ( ! [SY143: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY143 )
| ( p @ SY143 ) )
| ! [SY144: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY144 )
| ( r @ SY144 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(310,plain,
( ( ( ! [SY145: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY145 )
| ( p @ SY145 ) )
| ~ ( ~ ! [SY146: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY146 )
| ( q @ SY146 ) )
| ~ ! [SY147: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY147 )
| ( r @ SY147 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(311,plain,
( ( ( ~ ( ~ ( ! [SY85: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY85 )
| ( p @ SY85 ) )
| ! [SY86: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY86 )
| ( q @ SY86 ) ) )
| ~ ( ! [SY87: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY87 )
| ( p @ SY87 ) )
| ! [SY88: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY88 )
| ( r @ SY88 ) ) ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(312,plain,
( ( ( ! [SY89: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY89 )
| ( p @ SY89 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(313,plain,
( ( ( ~ ( ~ ! [SY90: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY90 )
| ( q @ SY90 ) )
| ~ ! [SY91: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY91 )
| ( r @ SY91 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(314,plain,
( ( ( ~ ( ~ ( ! [SY92: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY92 )
| ( p @ SY92 ) )
| ! [SY93: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY93 )
| ( q @ SY93 ) ) )
| ~ ( ! [SY94: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY94 )
| ( p @ SY94 ) )
| ! [SY95: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY95 )
| ( r @ SY95 ) ) ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(315,plain,
( ( ( ! [SY96: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY96 )
| ( p @ SY96 ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(316,plain,
( ( ( ~ ( ~ ! [SY97: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY97 )
| ( q @ SY97 ) )
| ~ ! [SY98: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY98 )
| ( r @ SY98 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(317,plain,
( ( ( ~ ( ! [SY36: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY36 )
| ( p @ SY36 ) )
| ! [SY37: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY37 )
| ( q @ SY37 ) ) )
| ~ ( ! [SY38: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY38 )
| ( p @ SY38 ) )
| ! [SY39: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY39 )
| ( r @ SY39 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(318,plain,
( ( ( ~ ( rel_s4 @ sK18_SY13 @ sK37_SY40 )
| ( p @ sK37_SY40 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[266]) ).
thf(319,plain,
( ( ( ~ ! [SY41: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY41 )
| ( q @ SY41 ) )
| ~ ! [SY42: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY42 )
| ( r @ SY42 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(320,plain,
( ( ( ~ ( ~ ( ! [SY99: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY99 )
| ( p @ SY99 ) )
| ! [SY100: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY100 )
| ( q @ SY100 ) ) )
| ~ ( ! [SY101: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY101 )
| ( p @ SY101 ) )
| ! [SY102: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY102 )
| ( r @ SY102 ) ) ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(321,plain,
( ( ( ! [SY103: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY103 )
| ( p @ SY103 ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(322,plain,
( ( ( ~ ( ~ ! [SY104: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY104 )
| ( q @ SY104 ) )
| ~ ! [SY105: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY105 )
| ( r @ SY105 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(323,plain,
( ( ( ~ ( ! [SY43: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY43 )
| ( p @ SY43 ) )
| ! [SY44: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY44 )
| ( q @ SY44 ) ) )
| ~ ( ! [SY45: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY45 )
| ( p @ SY45 ) )
| ! [SY46: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY46 )
| ( r @ SY46 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(324,plain,
( ( ( ~ ( rel_s4 @ sK19_SY13 @ sK38_SY47 )
| ( p @ sK38_SY47 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[272]) ).
thf(325,plain,
( ( ( ~ ! [SY48: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY48 )
| ( q @ SY48 ) )
| ~ ! [SY49: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY49 )
| ( r @ SY49 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(326,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK35_SY13 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(327,plain,
( ( ( ~ ~ ( ~ ( ! [SY148: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY148 )
| ( p @ SY148 ) )
| ! [SY149: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY149 )
| ( q @ SY149 ) ) )
| ~ ( ! [SY150: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY150 )
| ( p @ SY150 ) )
| ! [SY151: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY151 )
| ( r @ SY151 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(328,plain,
( ( ( ! [SY152: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY152 )
| ( p @ SY152 ) )
| ~ ( ~ ! [SY153: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY153 )
| ( q @ SY153 ) )
| ~ ! [SY154: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY154 )
| ( r @ SY154 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(329,plain,
( ( ( ~ ( ~ ( ! [SY106: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY106 )
| ( p @ SY106 ) )
| ! [SY107: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY107 )
| ( q @ SY107 ) ) )
| ~ ( ! [SY108: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY108 )
| ( p @ SY108 ) )
| ! [SY109: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY109 )
| ( r @ SY109 ) ) ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(330,plain,
( ( ( ! [SY110: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY110 )
| ( p @ SY110 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(331,plain,
( ( ( ~ ( ~ ! [SY111: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY111 )
| ( q @ SY111 ) )
| ~ ! [SY112: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY112 )
| ( r @ SY112 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(332,plain,
( ( ( rel_s4 @ sK2_SX0 @ sK36_SY13 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(333,plain,
( ( ( ~ ~ ( ~ ( ! [SY155: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY155 )
| ( p @ SY155 ) )
| ! [SY156: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY156 )
| ( q @ SY156 ) ) )
| ~ ( ! [SY157: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY157 )
| ( p @ SY157 ) )
| ! [SY158: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY158 )
| ( r @ SY158 ) ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(334,plain,
( ( ( ! [SY159: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY159 )
| ( p @ SY159 ) )
| ~ ( ~ ! [SY160: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY160 )
| ( q @ SY160 ) )
| ~ ! [SY161: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY161 )
| ( r @ SY161 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(335,plain,
( ( ( ~ ( ~ ( ! [SY113: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY113 )
| ( p @ SY113 ) )
| ! [SY114: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY114 )
| ( q @ SY114 ) ) )
| ~ ( ! [SY115: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY115 )
| ( p @ SY115 ) )
| ! [SY116: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY116 )
| ( r @ SY116 ) ) ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(336,plain,
( ( ( ! [SY117: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY117 )
| ( p @ SY117 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(337,plain,
( ( ( ~ ( ~ ! [SY118: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY118 )
| ( q @ SY118 ) )
| ~ ! [SY119: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY119 )
| ( r @ SY119 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(338,plain,
( ( ( ~ ( ~ ( ! [SY120: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY120 )
| ( p @ SY120 ) )
| ! [SY121: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY121 )
| ( q @ SY121 ) ) )
| ~ ( ! [SY122: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY122 )
| ( p @ SY122 ) )
| ! [SY123: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY123 )
| ( r @ SY123 ) ) ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(339,plain,
( ( ( ! [SY124: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY124 )
| ( p @ SY124 ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(340,plain,
( ( ( ~ ( ~ ! [SY125: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY125 )
| ( q @ SY125 ) )
| ~ ! [SY126: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY126 )
| ( r @ SY126 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(341,plain,
( ( ( ~ ( ! [SY50: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY50 )
| ( p @ SY50 ) )
| ! [SY51: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY51 )
| ( q @ SY51 ) ) )
| ~ ( ! [SY52: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY52 )
| ( p @ SY52 ) )
| ! [SY53: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY53 )
| ( r @ SY53 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(342,plain,
( ( ( ~ ( rel_s4 @ sK20_SY13 @ sK39_SY54 )
| ( p @ sK39_SY54 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[288]) ).
thf(343,plain,
( ( ( ~ ! [SY55: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY55 )
| ( q @ SY55 ) )
| ~ ! [SY56: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY56 )
| ( r @ SY56 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(344,plain,
( ( ( ~ ( ~ ( ! [SY127: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY127 )
| ( p @ SY127 ) )
| ! [SY128: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY128 )
| ( q @ SY128 ) ) )
| ~ ( ! [SY129: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY129 )
| ( p @ SY129 ) )
| ! [SY130: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY130 )
| ( r @ SY130 ) ) ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(345,plain,
( ( ( ! [SY131: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY131 )
| ( p @ SY131 ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(346,plain,
( ( ( ~ ( ~ ! [SY132: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY132 )
| ( q @ SY132 ) )
| ~ ! [SY133: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY133 )
| ( r @ SY133 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(347,plain,
( ( ( ~ ( ! [SY57: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY57 )
| ( p @ SY57 ) )
| ! [SY58: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY58 )
| ( q @ SY58 ) ) )
| ~ ( ! [SY59: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY59 )
| ( p @ SY59 ) )
| ! [SY60: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY60 )
| ( r @ SY60 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(348,plain,
( ( ( ~ ( rel_s4 @ sK21_SY13 @ sK40_SY61 )
| ( p @ sK40_SY61 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[294]) ).
thf(349,plain,
( ( ( ~ ! [SY62: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY62 )
| ( q @ SY62 ) )
| ~ ! [SY63: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY63 )
| ( r @ SY63 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(350,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( ! [SY64: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY64 )
| ( p @ SY64 ) )
| ! [SY65: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY65 )
| ( q @ SY65 ) ) )
| ~ ( ! [SY66: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY66 )
| ( p @ SY66 ) )
| ! [SY67: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY67 )
| ( r @ SY67 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(351,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK41_SY68 @ SV9 @ SV10 ) )
| ( p @ ( sK41_SY68 @ SV9 @ SV10 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[297]) ).
thf(352,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ! [SY69: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY69 )
| ( q @ SY69 ) )
| ~ ! [SY70: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY70 )
| ( r @ SY70 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(353,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( ! [SY71: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY71 )
| ( p @ SY71 ) )
| ! [SY72: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY72 )
| ( q @ SY72 ) ) )
| ~ ( ! [SY73: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY73 )
| ( p @ SY73 ) )
| ! [SY74: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY74 )
| ( r @ SY74 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(354,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK42_SY75 @ SV9 @ SV11 ) )
| ( p @ ( sK42_SY75 @ SV9 @ SV11 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[300]) ).
thf(355,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ! [SY76: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY76 )
| ( q @ SY76 ) )
| ~ ! [SY77: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY77 )
| ( r @ SY77 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(356,plain,
( ( ( ~ ( ~ ( ! [SY134: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY134 )
| ( p @ SY134 ) )
| ! [SY135: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY135 )
| ( q @ SY135 ) ) )
| ~ ( ! [SY136: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY136 )
| ( p @ SY136 ) )
| ! [SY137: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY137 )
| ( r @ SY137 ) ) ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(357,plain,
( ( ( ! [SY138: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY138 )
| ( p @ SY138 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(358,plain,
( ( ( ~ ( ~ ! [SY139: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY139 )
| ( q @ SY139 ) )
| ~ ! [SY140: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY140 )
| ( r @ SY140 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(359,plain,
( ( ( ~ ( ! [SY78: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY78 )
| ( p @ SY78 ) )
| ! [SY79: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY79 )
| ( q @ SY79 ) ) )
| ~ ( ! [SY80: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY80 )
| ( p @ SY80 ) )
| ! [SY81: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY81 )
| ( r @ SY81 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(360,plain,
( ( ( ~ ( rel_s4 @ sK25_SY13 @ sK43_SY82 )
| ( p @ sK43_SY82 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[306]) ).
thf(361,plain,
( ( ( ~ ! [SY83: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY83 )
| ( q @ SY83 ) )
| ~ ! [SY84: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY84 )
| ( r @ SY84 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(362,plain,
( ( ( ~ ( ~ ( ! [SY141: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY141 )
| ( p @ SY141 ) )
| ! [SY142: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY142 )
| ( q @ SY142 ) ) )
| ~ ( ! [SY143: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY143 )
| ( p @ SY143 ) )
| ! [SY144: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY144 )
| ( r @ SY144 ) ) ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(363,plain,
( ( ( ! [SY145: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY145 )
| ( p @ SY145 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(364,plain,
( ( ( ~ ( ~ ! [SY146: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY146 )
| ( q @ SY146 ) )
| ~ ! [SY147: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY147 )
| ( r @ SY147 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(365,plain,
( ( ( ~ ( ! [SY85: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY85 )
| ( p @ SY85 ) )
| ! [SY86: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY86 )
| ( q @ SY86 ) ) )
| ~ ( ! [SY87: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY87 )
| ( p @ SY87 ) )
| ! [SY88: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY88 )
| ( r @ SY88 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(366,plain,
( ( ( ~ ( rel_s4 @ sK26_SY13 @ sK44_SY89 )
| ( p @ sK44_SY89 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[312]) ).
thf(367,plain,
( ( ( ~ ! [SY90: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY90 )
| ( q @ SY90 ) )
| ~ ! [SY91: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY91 )
| ( r @ SY91 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(368,plain,
( ( ( ~ ( ! [SY92: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY92 )
| ( p @ SY92 ) )
| ! [SY93: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY93 )
| ( q @ SY93 ) ) )
| ~ ( ! [SY94: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY94 )
| ( p @ SY94 ) )
| ! [SY95: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY95 )
| ( r @ SY95 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(369,plain,
( ( ( ~ ( rel_s4 @ sK27_SY13 @ sK45_SY96 )
| ( p @ sK45_SY96 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[315]) ).
thf(370,plain,
( ( ( ~ ! [SY97: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY97 )
| ( q @ SY97 ) )
| ~ ! [SY98: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY98 )
| ( r @ SY98 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(371,plain,
( ( ( ~ ( ! [SY36: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY36 )
| ( p @ SY36 ) )
| ! [SY37: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY37 )
| ( q @ SY37 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(372,plain,
( ( ( ~ ( ! [SY38: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY38 )
| ( p @ SY38 ) )
| ! [SY39: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY39 )
| ( r @ SY39 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(373,plain,
( ( ( ~ ( rel_s4 @ sK18_SY13 @ sK37_SY40 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[318]) ).
thf(374,plain,
( ( ( p @ sK37_SY40 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[318]) ).
thf(375,plain,
( ( ( ~ ! [SY41: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY41 )
| ( q @ SY41 ) ) )
= $true )
| ( ( ~ ! [SY42: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY42 )
| ( r @ SY42 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(376,plain,
( ( ( ~ ( ! [SY99: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY99 )
| ( p @ SY99 ) )
| ! [SY100: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY100 )
| ( q @ SY100 ) ) )
| ~ ( ! [SY101: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY101 )
| ( p @ SY101 ) )
| ! [SY102: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY102 )
| ( r @ SY102 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(377,plain,
( ( ( ~ ( rel_s4 @ sK28_SY13 @ sK46_SY103 )
| ( p @ sK46_SY103 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[321]) ).
thf(378,plain,
( ( ( ~ ! [SY104: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY104 )
| ( q @ SY104 ) )
| ~ ! [SY105: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY105 )
| ( r @ SY105 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(379,plain,
( ( ( ~ ( ! [SY43: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY43 )
| ( p @ SY43 ) )
| ! [SY44: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY44 )
| ( q @ SY44 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(380,plain,
( ( ( ~ ( ! [SY45: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY45 )
| ( p @ SY45 ) )
| ! [SY46: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY46 )
| ( r @ SY46 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(381,plain,
( ( ( ~ ( rel_s4 @ sK19_SY13 @ sK38_SY47 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(382,plain,
( ( ( p @ sK38_SY47 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(383,plain,
( ( ( ~ ! [SY48: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY48 )
| ( q @ SY48 ) ) )
= $true )
| ( ( ~ ! [SY49: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY49 )
| ( r @ SY49 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(384,plain,
( ( ( ~ ( ~ ( ! [SY148: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY148 )
| ( p @ SY148 ) )
| ! [SY149: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY149 )
| ( q @ SY149 ) ) )
| ~ ( ! [SY150: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY150 )
| ( p @ SY150 ) )
| ! [SY151: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY151 )
| ( r @ SY151 ) ) ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(385,plain,
( ( ( ! [SY152: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY152 )
| ( p @ SY152 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(386,plain,
( ( ( ~ ( ~ ! [SY153: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY153 )
| ( q @ SY153 ) )
| ~ ! [SY154: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY154 )
| ( r @ SY154 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(387,plain,
( ( ( ~ ( ! [SY106: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY106 )
| ( p @ SY106 ) )
| ! [SY107: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY107 )
| ( q @ SY107 ) ) )
| ~ ( ! [SY108: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY108 )
| ( p @ SY108 ) )
| ! [SY109: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY109 )
| ( r @ SY109 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(388,plain,
( ( ( ~ ( rel_s4 @ sK29_SY13 @ sK47_SY110 )
| ( p @ sK47_SY110 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[330]) ).
thf(389,plain,
( ( ( ~ ! [SY111: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY111 )
| ( q @ SY111 ) )
| ~ ! [SY112: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY112 )
| ( r @ SY112 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(390,plain,
( ( ( ~ ( ~ ( ! [SY155: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY155 )
| ( p @ SY155 ) )
| ! [SY156: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY156 )
| ( q @ SY156 ) ) )
| ~ ( ! [SY157: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY157 )
| ( p @ SY157 ) )
| ! [SY158: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY158 )
| ( r @ SY158 ) ) ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(391,plain,
( ( ( ! [SY159: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY159 )
| ( p @ SY159 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(392,plain,
( ( ( ~ ( ~ ! [SY160: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY160 )
| ( q @ SY160 ) )
| ~ ! [SY161: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY161 )
| ( r @ SY161 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(393,plain,
( ( ( ~ ( ! [SY113: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY113 )
| ( p @ SY113 ) )
| ! [SY114: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY114 )
| ( q @ SY114 ) ) )
| ~ ( ! [SY115: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY115 )
| ( p @ SY115 ) )
| ! [SY116: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY116 )
| ( r @ SY116 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(394,plain,
( ( ( ~ ( rel_s4 @ sK30_SY13 @ sK48_SY117 )
| ( p @ sK48_SY117 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[336]) ).
thf(395,plain,
( ( ( ~ ! [SY118: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY118 )
| ( q @ SY118 ) )
| ~ ! [SY119: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY119 )
| ( r @ SY119 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(396,plain,
( ( ( ~ ( ! [SY120: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY120 )
| ( p @ SY120 ) )
| ! [SY121: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY121 )
| ( q @ SY121 ) ) )
| ~ ( ! [SY122: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY122 )
| ( p @ SY122 ) )
| ! [SY123: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY123 )
| ( r @ SY123 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(397,plain,
( ( ( ~ ( rel_s4 @ sK31_SY13 @ sK49_SY124 )
| ( p @ sK49_SY124 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[339]) ).
thf(398,plain,
( ( ( ~ ! [SY125: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY125 )
| ( q @ SY125 ) )
| ~ ! [SY126: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY126 )
| ( r @ SY126 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(399,plain,
( ( ( ~ ( ! [SY50: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY50 )
| ( p @ SY50 ) )
| ! [SY51: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY51 )
| ( q @ SY51 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(400,plain,
( ( ( ~ ( ! [SY52: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY52 )
| ( p @ SY52 ) )
| ! [SY53: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY53 )
| ( r @ SY53 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(401,plain,
( ( ( ~ ( rel_s4 @ sK20_SY13 @ sK39_SY54 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(402,plain,
( ( ( p @ sK39_SY54 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(403,plain,
( ( ( ~ ! [SY55: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY55 )
| ( q @ SY55 ) ) )
= $true )
| ( ( ~ ! [SY56: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY56 )
| ( r @ SY56 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(404,plain,
( ( ( ~ ( ! [SY127: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY127 )
| ( p @ SY127 ) )
| ! [SY128: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY128 )
| ( q @ SY128 ) ) )
| ~ ( ! [SY129: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY129 )
| ( p @ SY129 ) )
| ! [SY130: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY130 )
| ( r @ SY130 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(405,plain,
( ( ( ~ ( rel_s4 @ sK32_SY13 @ sK50_SY131 )
| ( p @ sK50_SY131 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[345]) ).
thf(406,plain,
( ( ( ~ ! [SY132: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY132 )
| ( q @ SY132 ) )
| ~ ! [SY133: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY133 )
| ( r @ SY133 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(407,plain,
( ( ( ~ ( ! [SY57: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY57 )
| ( p @ SY57 ) )
| ! [SY58: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY58 )
| ( q @ SY58 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[347]) ).
thf(408,plain,
( ( ( ~ ( ! [SY59: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY59 )
| ( p @ SY59 ) )
| ! [SY60: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY60 )
| ( r @ SY60 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[347]) ).
thf(409,plain,
( ( ( ~ ( rel_s4 @ sK21_SY13 @ sK40_SY61 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(410,plain,
( ( ( p @ sK40_SY61 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(411,plain,
( ( ( ~ ! [SY62: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY62 )
| ( q @ SY62 ) ) )
= $true )
| ( ( ~ ! [SY63: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY63 )
| ( r @ SY63 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(412,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( ! [SY64: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY64 )
| ( p @ SY64 ) )
| ! [SY65: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY65 )
| ( q @ SY65 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[350]) ).
thf(413,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( ! [SY66: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY66 )
| ( p @ SY66 ) )
| ! [SY67: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY67 )
| ( r @ SY67 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[350]) ).
thf(414,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK41_SY68 @ SV9 @ SV10 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[351]) ).
thf(415,plain,
! [SV10: $i,SV9: $i] :
( ( ( p @ ( sK41_SY68 @ SV9 @ SV10 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[351]) ).
thf(416,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ! [SY69: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY69 )
| ( q @ SY69 ) ) )
= $true )
| ( ( ~ ! [SY70: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY70 )
| ( r @ SY70 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(417,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( ! [SY71: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY71 )
| ( p @ SY71 ) )
| ! [SY72: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY72 )
| ( q @ SY72 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(418,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( ! [SY73: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY73 )
| ( p @ SY73 ) )
| ! [SY74: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY74 )
| ( r @ SY74 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(419,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK42_SY75 @ SV9 @ SV11 ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[354]) ).
thf(420,plain,
! [SV11: $i,SV9: $i] :
( ( ( p @ ( sK42_SY75 @ SV9 @ SV11 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[354]) ).
thf(421,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ! [SY76: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY76 )
| ( q @ SY76 ) ) )
= $true )
| ( ( ~ ! [SY77: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY77 )
| ( r @ SY77 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(422,plain,
( ( ( ~ ( ! [SY134: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY134 )
| ( p @ SY134 ) )
| ! [SY135: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY135 )
| ( q @ SY135 ) ) )
| ~ ( ! [SY136: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY136 )
| ( p @ SY136 ) )
| ! [SY137: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY137 )
| ( r @ SY137 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(423,plain,
( ( ( ~ ( rel_s4 @ sK33_SY13 @ sK51_SY138 )
| ( p @ sK51_SY138 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[357]) ).
thf(424,plain,
( ( ( ~ ! [SY139: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY139 )
| ( q @ SY139 ) )
| ~ ! [SY140: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY140 )
| ( r @ SY140 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(425,plain,
( ( ( ~ ( ! [SY78: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY78 )
| ( p @ SY78 ) )
| ! [SY79: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY79 )
| ( q @ SY79 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(426,plain,
( ( ( ~ ( ! [SY80: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY80 )
| ( p @ SY80 ) )
| ! [SY81: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY81 )
| ( r @ SY81 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(427,plain,
( ( ( ~ ( rel_s4 @ sK25_SY13 @ sK43_SY82 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(428,plain,
( ( ( p @ sK43_SY82 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(429,plain,
( ( ( ~ ! [SY83: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY83 )
| ( q @ SY83 ) ) )
= $true )
| ( ( ~ ! [SY84: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY84 )
| ( r @ SY84 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(430,plain,
( ( ( ~ ( ! [SY141: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY141 )
| ( p @ SY141 ) )
| ! [SY142: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY142 )
| ( q @ SY142 ) ) )
| ~ ( ! [SY143: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY143 )
| ( p @ SY143 ) )
| ! [SY144: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY144 )
| ( r @ SY144 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(431,plain,
( ( ( ~ ( rel_s4 @ sK34_SY13 @ sK52_SY145 )
| ( p @ sK52_SY145 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[363]) ).
thf(432,plain,
( ( ( ~ ! [SY146: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY146 )
| ( q @ SY146 ) )
| ~ ! [SY147: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY147 )
| ( r @ SY147 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(433,plain,
( ( ( ~ ( ! [SY85: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY85 )
| ( p @ SY85 ) )
| ! [SY86: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY86 )
| ( q @ SY86 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[365]) ).
thf(434,plain,
( ( ( ~ ( ! [SY87: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY87 )
| ( p @ SY87 ) )
| ! [SY88: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY88 )
| ( r @ SY88 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[365]) ).
thf(435,plain,
( ( ( ~ ( rel_s4 @ sK26_SY13 @ sK44_SY89 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(436,plain,
( ( ( p @ sK44_SY89 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(437,plain,
( ( ( ~ ! [SY90: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY90 )
| ( q @ SY90 ) ) )
= $true )
| ( ( ~ ! [SY91: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY91 )
| ( r @ SY91 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(438,plain,
( ( ( ~ ( ! [SY92: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY92 )
| ( p @ SY92 ) )
| ! [SY93: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY93 )
| ( q @ SY93 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(439,plain,
( ( ( ~ ( ! [SY94: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY94 )
| ( p @ SY94 ) )
| ! [SY95: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY95 )
| ( r @ SY95 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(440,plain,
( ( ( ~ ( rel_s4 @ sK27_SY13 @ sK45_SY96 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(441,plain,
( ( ( p @ sK45_SY96 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(442,plain,
( ( ( ~ ! [SY97: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY97 )
| ( q @ SY97 ) ) )
= $true )
| ( ( ~ ! [SY98: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY98 )
| ( r @ SY98 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(443,plain,
( ( ( ! [SY36: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY36 )
| ( p @ SY36 ) )
| ! [SY37: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY37 )
| ( q @ SY37 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(444,plain,
( ( ( ! [SY38: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY38 )
| ( p @ SY38 ) )
| ! [SY39: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY39 )
| ( r @ SY39 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(445,plain,
( ( ( rel_s4 @ sK18_SY13 @ sK37_SY40 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(446,plain,
( ( ( ! [SY41: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY41 )
| ( q @ SY41 ) ) )
= $false )
| ( ( ~ ! [SY42: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY42 )
| ( r @ SY42 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(447,plain,
( ( ( ~ ( ! [SY99: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY99 )
| ( p @ SY99 ) )
| ! [SY100: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY100 )
| ( q @ SY100 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(448,plain,
( ( ( ~ ( ! [SY101: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY101 )
| ( p @ SY101 ) )
| ! [SY102: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY102 )
| ( r @ SY102 ) ) ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(449,plain,
( ( ( ~ ( rel_s4 @ sK28_SY13 @ sK46_SY103 ) )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(450,plain,
( ( ( p @ sK46_SY103 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(451,plain,
( ( ( ~ ! [SY104: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY104 )
| ( q @ SY104 ) ) )
= $true )
| ( ( ~ ! [SY105: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY105 )
| ( r @ SY105 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(452,plain,
( ( ( ! [SY43: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY43 )
| ( p @ SY43 ) )
| ! [SY44: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY44 )
| ( q @ SY44 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(453,plain,
( ( ( ! [SY45: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY45 )
| ( p @ SY45 ) )
| ! [SY46: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY46 )
| ( r @ SY46 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(454,plain,
( ( ( rel_s4 @ sK19_SY13 @ sK38_SY47 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(455,plain,
( ( ( ! [SY48: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY48 )
| ( q @ SY48 ) ) )
= $false )
| ( ( ~ ! [SY49: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY49 )
| ( r @ SY49 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(456,plain,
( ( ( ~ ( ! [SY148: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY148 )
| ( p @ SY148 ) )
| ! [SY149: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY149 )
| ( q @ SY149 ) ) )
| ~ ( ! [SY150: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY150 )
| ( p @ SY150 ) )
| ! [SY151: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY151 )
| ( r @ SY151 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(457,plain,
( ( ( ~ ( rel_s4 @ sK35_SY13 @ sK53_SY152 )
| ( p @ sK53_SY152 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[385]) ).
thf(458,plain,
( ( ( ~ ! [SY153: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY153 )
| ( q @ SY153 ) )
| ~ ! [SY154: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY154 )
| ( r @ SY154 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(459,plain,
( ( ( ~ ( ! [SY106: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY106 )
| ( p @ SY106 ) )
| ! [SY107: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY107 )
| ( q @ SY107 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(460,plain,
( ( ( ~ ( ! [SY108: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY108 )
| ( p @ SY108 ) )
| ! [SY109: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY109 )
| ( r @ SY109 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(461,plain,
( ( ( ~ ( rel_s4 @ sK29_SY13 @ sK47_SY110 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[388]) ).
thf(462,plain,
( ( ( p @ sK47_SY110 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[388]) ).
thf(463,plain,
( ( ( ~ ! [SY111: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY111 )
| ( q @ SY111 ) ) )
= $true )
| ( ( ~ ! [SY112: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY112 )
| ( r @ SY112 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(464,plain,
( ( ( ~ ( ! [SY155: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY155 )
| ( p @ SY155 ) )
| ! [SY156: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY156 )
| ( q @ SY156 ) ) )
| ~ ( ! [SY157: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY157 )
| ( p @ SY157 ) )
| ! [SY158: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY158 )
| ( r @ SY158 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(465,plain,
( ( ( ~ ( rel_s4 @ sK36_SY13 @ sK54_SY159 )
| ( p @ sK54_SY159 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[391]) ).
thf(466,plain,
( ( ( ~ ! [SY160: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY160 )
| ( q @ SY160 ) )
| ~ ! [SY161: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY161 )
| ( r @ SY161 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(467,plain,
( ( ( ~ ( ! [SY113: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY113 )
| ( p @ SY113 ) )
| ! [SY114: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY114 )
| ( q @ SY114 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(468,plain,
( ( ( ~ ( ! [SY115: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY115 )
| ( p @ SY115 ) )
| ! [SY116: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY116 )
| ( r @ SY116 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(469,plain,
( ( ( ~ ( rel_s4 @ sK30_SY13 @ sK48_SY117 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(470,plain,
( ( ( p @ sK48_SY117 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(471,plain,
( ( ( ~ ! [SY118: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY118 )
| ( q @ SY118 ) ) )
= $true )
| ( ( ~ ! [SY119: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY119 )
| ( r @ SY119 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(472,plain,
( ( ( ~ ( ! [SY120: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY120 )
| ( p @ SY120 ) )
| ! [SY121: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY121 )
| ( q @ SY121 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(473,plain,
( ( ( ~ ( ! [SY122: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY122 )
| ( p @ SY122 ) )
| ! [SY123: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY123 )
| ( r @ SY123 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(474,plain,
( ( ( ~ ( rel_s4 @ sK31_SY13 @ sK49_SY124 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(475,plain,
( ( ( p @ sK49_SY124 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(476,plain,
( ( ( ~ ! [SY125: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY125 )
| ( q @ SY125 ) ) )
= $true )
| ( ( ~ ! [SY126: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY126 )
| ( r @ SY126 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(477,plain,
( ( ( ! [SY50: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY50 )
| ( p @ SY50 ) )
| ! [SY51: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY51 )
| ( q @ SY51 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(478,plain,
( ( ( ! [SY52: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY52 )
| ( p @ SY52 ) )
| ! [SY53: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY53 )
| ( r @ SY53 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(479,plain,
( ( ( rel_s4 @ sK20_SY13 @ sK39_SY54 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(480,plain,
( ( ( ! [SY55: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY55 )
| ( q @ SY55 ) ) )
= $false )
| ( ( ~ ! [SY56: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY56 )
| ( r @ SY56 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(481,plain,
( ( ( ~ ( ! [SY127: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY127 )
| ( p @ SY127 ) )
| ! [SY128: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY128 )
| ( q @ SY128 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(482,plain,
( ( ( ~ ( ! [SY129: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY129 )
| ( p @ SY129 ) )
| ! [SY130: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY130 )
| ( r @ SY130 ) ) ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(483,plain,
( ( ( ~ ( rel_s4 @ sK32_SY13 @ sK50_SY131 ) )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(484,plain,
( ( ( p @ sK50_SY131 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(485,plain,
( ( ( ~ ! [SY132: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY132 )
| ( q @ SY132 ) ) )
= $true )
| ( ( ~ ! [SY133: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY133 )
| ( r @ SY133 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(486,plain,
( ( ( ! [SY57: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY57 )
| ( p @ SY57 ) )
| ! [SY58: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY58 )
| ( q @ SY58 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(487,plain,
( ( ( ! [SY59: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY59 )
| ( p @ SY59 ) )
| ! [SY60: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY60 )
| ( r @ SY60 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(488,plain,
( ( ( rel_s4 @ sK21_SY13 @ sK40_SY61 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(489,plain,
( ( ( ! [SY62: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY62 )
| ( q @ SY62 ) ) )
= $false )
| ( ( ~ ! [SY63: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY63 )
| ( r @ SY63 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(490,plain,
! [SV9: $i,SV10: $i] :
( ( ( ! [SY64: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY64 )
| ( p @ SY64 ) )
| ! [SY65: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY65 )
| ( q @ SY65 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(491,plain,
! [SV9: $i,SV10: $i] :
( ( ( ! [SY66: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY66 )
| ( p @ SY66 ) )
| ! [SY67: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY67 )
| ( r @ SY67 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(492,plain,
! [SV9: $i,SV10: $i] :
( ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK41_SY68 @ SV9 @ SV10 ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(493,plain,
! [SV9: $i,SV10: $i] :
( ( ( ! [SY69: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY69 )
| ( q @ SY69 ) ) )
= $false )
| ( ( ~ ! [SY70: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY70 )
| ( r @ SY70 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(494,plain,
! [SV9: $i,SV11: $i] :
( ( ( ! [SY71: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY71 )
| ( p @ SY71 ) )
| ! [SY72: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY72 )
| ( q @ SY72 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(495,plain,
! [SV9: $i,SV11: $i] :
( ( ( ! [SY73: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY73 )
| ( p @ SY73 ) )
| ! [SY74: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY74 )
| ( r @ SY74 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(496,plain,
! [SV9: $i,SV11: $i] :
( ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK42_SY75 @ SV9 @ SV11 ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(497,plain,
! [SV9: $i,SV11: $i] :
( ( ( ! [SY76: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY76 )
| ( q @ SY76 ) ) )
= $false )
| ( ( ~ ! [SY77: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY77 )
| ( r @ SY77 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(498,plain,
( ( ( ~ ( ! [SY134: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY134 )
| ( p @ SY134 ) )
| ! [SY135: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY135 )
| ( q @ SY135 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(499,plain,
( ( ( ~ ( ! [SY136: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY136 )
| ( p @ SY136 ) )
| ! [SY137: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY137 )
| ( r @ SY137 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(500,plain,
( ( ( ~ ( rel_s4 @ sK33_SY13 @ sK51_SY138 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(501,plain,
( ( ( p @ sK51_SY138 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(502,plain,
( ( ( ~ ! [SY139: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY139 )
| ( q @ SY139 ) ) )
= $true )
| ( ( ~ ! [SY140: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY140 )
| ( r @ SY140 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(503,plain,
( ( ( ! [SY78: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY78 )
| ( p @ SY78 ) )
| ! [SY79: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY79 )
| ( q @ SY79 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(504,plain,
( ( ( ! [SY80: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY80 )
| ( p @ SY80 ) )
| ! [SY81: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY81 )
| ( r @ SY81 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(505,plain,
( ( ( rel_s4 @ sK25_SY13 @ sK43_SY82 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(506,plain,
( ( ( ! [SY83: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY83 )
| ( q @ SY83 ) ) )
= $false )
| ( ( ~ ! [SY84: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY84 )
| ( r @ SY84 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(507,plain,
( ( ( ~ ( ! [SY141: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY141 )
| ( p @ SY141 ) )
| ! [SY142: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY142 )
| ( q @ SY142 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(508,plain,
( ( ( ~ ( ! [SY143: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY143 )
| ( p @ SY143 ) )
| ! [SY144: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY144 )
| ( r @ SY144 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(509,plain,
( ( ( ~ ( rel_s4 @ sK34_SY13 @ sK52_SY145 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(510,plain,
( ( ( p @ sK52_SY145 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(511,plain,
( ( ( ~ ! [SY146: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY146 )
| ( q @ SY146 ) ) )
= $true )
| ( ( ~ ! [SY147: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY147 )
| ( r @ SY147 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(512,plain,
( ( ( ! [SY85: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY85 )
| ( p @ SY85 ) )
| ! [SY86: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY86 )
| ( q @ SY86 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(513,plain,
( ( ( ! [SY87: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY87 )
| ( p @ SY87 ) )
| ! [SY88: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY88 )
| ( r @ SY88 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(514,plain,
( ( ( rel_s4 @ sK26_SY13 @ sK44_SY89 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(515,plain,
( ( ( ! [SY90: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY90 )
| ( q @ SY90 ) ) )
= $false )
| ( ( ~ ! [SY91: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY91 )
| ( r @ SY91 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(516,plain,
( ( ( ! [SY92: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY92 )
| ( p @ SY92 ) )
| ! [SY93: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY93 )
| ( q @ SY93 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(517,plain,
( ( ( ! [SY94: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY94 )
| ( p @ SY94 ) )
| ! [SY95: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY95 )
| ( r @ SY95 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(518,plain,
( ( ( rel_s4 @ sK27_SY13 @ sK45_SY96 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(519,plain,
( ( ( ! [SY97: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY97 )
| ( q @ SY97 ) ) )
= $false )
| ( ( ~ ! [SY98: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY98 )
| ( r @ SY98 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(520,plain,
( ( ( ! [SY36: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY36 )
| ( p @ SY36 ) ) )
= $true )
| ( ( ! [SY37: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY37 )
| ( q @ SY37 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(521,plain,
( ( ( ! [SY38: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY38 )
| ( p @ SY38 ) ) )
= $true )
| ( ( ! [SY39: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY39 )
| ( r @ SY39 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(522,plain,
( ( ( ~ ( rel_s4 @ sK18_SY13 @ sK55_SY41 )
| ( q @ sK55_SY41 ) )
= $false )
| ( ( ~ ! [SY42: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY42 )
| ( r @ SY42 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[446]) ).
thf(523,plain,
( ( ( ! [SY99: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY99 )
| ( p @ SY99 ) )
| ! [SY100: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY100 )
| ( q @ SY100 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(524,plain,
( ( ( ! [SY101: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY101 )
| ( p @ SY101 ) )
| ! [SY102: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY102 )
| ( r @ SY102 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(525,plain,
( ( ( rel_s4 @ sK28_SY13 @ sK46_SY103 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(526,plain,
( ( ( ! [SY104: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY104 )
| ( q @ SY104 ) ) )
= $false )
| ( ( ~ ! [SY105: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY105 )
| ( r @ SY105 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(527,plain,
( ( ( ! [SY43: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY43 )
| ( p @ SY43 ) ) )
= $true )
| ( ( ! [SY44: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY44 )
| ( q @ SY44 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(528,plain,
( ( ( ! [SY45: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY45 )
| ( p @ SY45 ) ) )
= $true )
| ( ( ! [SY46: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY46 )
| ( r @ SY46 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(529,plain,
( ( ( ~ ( rel_s4 @ sK19_SY13 @ sK56_SY48 )
| ( q @ sK56_SY48 ) )
= $false )
| ( ( ~ ! [SY49: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY49 )
| ( r @ SY49 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[455]) ).
thf(530,plain,
( ( ( ~ ( ! [SY148: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY148 )
| ( p @ SY148 ) )
| ! [SY149: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY149 )
| ( q @ SY149 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(531,plain,
( ( ( ~ ( ! [SY150: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY150 )
| ( p @ SY150 ) )
| ! [SY151: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY151 )
| ( r @ SY151 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(532,plain,
( ( ( ~ ( rel_s4 @ sK35_SY13 @ sK53_SY152 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[457]) ).
thf(533,plain,
( ( ( p @ sK53_SY152 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[457]) ).
thf(534,plain,
( ( ( ~ ! [SY153: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY153 )
| ( q @ SY153 ) ) )
= $true )
| ( ( ~ ! [SY154: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY154 )
| ( r @ SY154 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(535,plain,
( ( ( ! [SY106: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY106 )
| ( p @ SY106 ) )
| ! [SY107: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY107 )
| ( q @ SY107 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(536,plain,
( ( ( ! [SY108: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY108 )
| ( p @ SY108 ) )
| ! [SY109: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY109 )
| ( r @ SY109 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(537,plain,
( ( ( rel_s4 @ sK29_SY13 @ sK47_SY110 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(538,plain,
( ( ( ! [SY111: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY111 )
| ( q @ SY111 ) ) )
= $false )
| ( ( ~ ! [SY112: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY112 )
| ( r @ SY112 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(539,plain,
( ( ( ~ ( ! [SY155: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY155 )
| ( p @ SY155 ) )
| ! [SY156: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY156 )
| ( q @ SY156 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(540,plain,
( ( ( ~ ( ! [SY157: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY157 )
| ( p @ SY157 ) )
| ! [SY158: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY158 )
| ( r @ SY158 ) ) ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(541,plain,
( ( ( ~ ( rel_s4 @ sK36_SY13 @ sK54_SY159 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(542,plain,
( ( ( p @ sK54_SY159 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(543,plain,
( ( ( ~ ! [SY160: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY160 )
| ( q @ SY160 ) ) )
= $true )
| ( ( ~ ! [SY161: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY161 )
| ( r @ SY161 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(544,plain,
( ( ( ! [SY113: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY113 )
| ( p @ SY113 ) )
| ! [SY114: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY114 )
| ( q @ SY114 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(545,plain,
( ( ( ! [SY115: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY115 )
| ( p @ SY115 ) )
| ! [SY116: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY116 )
| ( r @ SY116 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(546,plain,
( ( ( rel_s4 @ sK30_SY13 @ sK48_SY117 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(547,plain,
( ( ( ! [SY118: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY118 )
| ( q @ SY118 ) ) )
= $false )
| ( ( ~ ! [SY119: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY119 )
| ( r @ SY119 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(548,plain,
( ( ( ! [SY120: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY120 )
| ( p @ SY120 ) )
| ! [SY121: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY121 )
| ( q @ SY121 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(549,plain,
( ( ( ! [SY122: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY122 )
| ( p @ SY122 ) )
| ! [SY123: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY123 )
| ( r @ SY123 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(550,plain,
( ( ( rel_s4 @ sK31_SY13 @ sK49_SY124 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(551,plain,
( ( ( ! [SY125: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY125 )
| ( q @ SY125 ) ) )
= $false )
| ( ( ~ ! [SY126: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY126 )
| ( r @ SY126 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(552,plain,
( ( ( ! [SY50: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY50 )
| ( p @ SY50 ) ) )
= $true )
| ( ( ! [SY51: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY51 )
| ( q @ SY51 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(553,plain,
( ( ( ! [SY52: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY52 )
| ( p @ SY52 ) ) )
= $true )
| ( ( ! [SY53: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY53 )
| ( r @ SY53 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(554,plain,
( ( ( ~ ( rel_s4 @ sK20_SY13 @ sK57_SY55 )
| ( q @ sK57_SY55 ) )
= $false )
| ( ( ~ ! [SY56: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY56 )
| ( r @ SY56 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[480]) ).
thf(555,plain,
( ( ( ! [SY127: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY127 )
| ( p @ SY127 ) )
| ! [SY128: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY128 )
| ( q @ SY128 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(556,plain,
( ( ( ! [SY129: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY129 )
| ( p @ SY129 ) )
| ! [SY130: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY130 )
| ( r @ SY130 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(557,plain,
( ( ( rel_s4 @ sK32_SY13 @ sK50_SY131 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[483]) ).
thf(558,plain,
( ( ( ! [SY132: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY132 )
| ( q @ SY132 ) ) )
= $false )
| ( ( ~ ! [SY133: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY133 )
| ( r @ SY133 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(559,plain,
( ( ( ! [SY57: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY57 )
| ( p @ SY57 ) ) )
= $true )
| ( ( ! [SY58: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY58 )
| ( q @ SY58 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(560,plain,
( ( ( ! [SY59: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY59 )
| ( p @ SY59 ) ) )
= $true )
| ( ( ! [SY60: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY60 )
| ( r @ SY60 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(561,plain,
( ( ( ~ ( rel_s4 @ sK21_SY13 @ sK58_SY62 )
| ( q @ sK58_SY62 ) )
= $false )
| ( ( ~ ! [SY63: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY63 )
| ( r @ SY63 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[489]) ).
thf(562,plain,
! [SV9: $i,SV10: $i] :
( ( ( ! [SY64: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY64 )
| ( p @ SY64 ) ) )
= $true )
| ( ( ! [SY65: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY65 )
| ( q @ SY65 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(563,plain,
! [SV9: $i,SV10: $i] :
( ( ( ! [SY66: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY66 )
| ( p @ SY66 ) ) )
= $true )
| ( ( ! [SY67: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY67 )
| ( r @ SY67 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(564,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK59_SY69 @ SV9 @ SV10 ) )
| ( q @ ( sK59_SY69 @ SV9 @ SV10 ) ) )
= $false )
| ( ( ~ ! [SY70: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY70 )
| ( r @ SY70 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[493]) ).
thf(565,plain,
! [SV9: $i,SV11: $i] :
( ( ( ! [SY71: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY71 )
| ( p @ SY71 ) ) )
= $true )
| ( ( ! [SY72: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY72 )
| ( q @ SY72 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(566,plain,
! [SV9: $i,SV11: $i] :
( ( ( ! [SY73: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY73 )
| ( p @ SY73 ) ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY74 )
| ( r @ SY74 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(567,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK60_SY76 @ SV9 @ SV11 ) )
| ( q @ ( sK60_SY76 @ SV9 @ SV11 ) ) )
= $false )
| ( ( ~ ! [SY77: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY77 )
| ( r @ SY77 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[497]) ).
thf(568,plain,
( ( ( ! [SY134: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY134 )
| ( p @ SY134 ) )
| ! [SY135: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY135 )
| ( q @ SY135 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(569,plain,
( ( ( ! [SY136: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY136 )
| ( p @ SY136 ) )
| ! [SY137: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY137 )
| ( r @ SY137 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(570,plain,
( ( ( rel_s4 @ sK33_SY13 @ sK51_SY138 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(571,plain,
( ( ( ! [SY139: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY139 )
| ( q @ SY139 ) ) )
= $false )
| ( ( ~ ! [SY140: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY140 )
| ( r @ SY140 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(572,plain,
( ( ( ! [SY78: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY78 )
| ( p @ SY78 ) ) )
= $true )
| ( ( ! [SY79: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY79 )
| ( q @ SY79 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(573,plain,
( ( ( ! [SY80: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY80 )
| ( p @ SY80 ) ) )
= $true )
| ( ( ! [SY81: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY81 )
| ( r @ SY81 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(574,plain,
( ( ( ~ ( rel_s4 @ sK25_SY13 @ sK61_SY83 )
| ( q @ sK61_SY83 ) )
= $false )
| ( ( ~ ! [SY84: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY84 )
| ( r @ SY84 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[506]) ).
thf(575,plain,
( ( ( ! [SY141: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY141 )
| ( p @ SY141 ) )
| ! [SY142: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY142 )
| ( q @ SY142 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(576,plain,
( ( ( ! [SY143: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY143 )
| ( p @ SY143 ) )
| ! [SY144: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY144 )
| ( r @ SY144 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(577,plain,
( ( ( rel_s4 @ sK34_SY13 @ sK52_SY145 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(578,plain,
( ( ( ! [SY146: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY146 )
| ( q @ SY146 ) ) )
= $false )
| ( ( ~ ! [SY147: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY147 )
| ( r @ SY147 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(579,plain,
( ( ( ! [SY85: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY85 )
| ( p @ SY85 ) ) )
= $true )
| ( ( ! [SY86: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY86 )
| ( q @ SY86 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(580,plain,
( ( ( ! [SY87: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY87 )
| ( p @ SY87 ) ) )
= $true )
| ( ( ! [SY88: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY88 )
| ( r @ SY88 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(581,plain,
( ( ( ~ ( rel_s4 @ sK26_SY13 @ sK62_SY90 )
| ( q @ sK62_SY90 ) )
= $false )
| ( ( ~ ! [SY91: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY91 )
| ( r @ SY91 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[515]) ).
thf(582,plain,
( ( ( ! [SY92: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY92 )
| ( p @ SY92 ) ) )
= $true )
| ( ( ! [SY93: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY93 )
| ( q @ SY93 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(583,plain,
( ( ( ! [SY94: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY94 )
| ( p @ SY94 ) ) )
= $true )
| ( ( ! [SY95: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY95 )
| ( r @ SY95 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(584,plain,
( ( ( ~ ( rel_s4 @ sK27_SY13 @ sK63_SY97 )
| ( q @ sK63_SY97 ) )
= $false )
| ( ( ~ ! [SY98: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY98 )
| ( r @ SY98 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[519]) ).
thf(585,plain,
! [SV16: $i] :
( ( ( ~ ( rel_s4 @ sK18_SY13 @ SV16 )
| ( p @ SV16 ) )
= $true )
| ( ( ! [SY37: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY37 )
| ( q @ SY37 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(586,plain,
! [SV17: $i] :
( ( ( ~ ( rel_s4 @ sK18_SY13 @ SV17 )
| ( p @ SV17 ) )
= $true )
| ( ( ! [SY39: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY39 )
| ( r @ SY39 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(587,plain,
( ( ( ~ ( rel_s4 @ sK18_SY13 @ sK55_SY41 ) )
= $false )
| ( ( ~ ! [SY42: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY42 )
| ( r @ SY42 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(588,plain,
( ( ( q @ sK55_SY41 )
= $false )
| ( ( ~ ! [SY42: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY42 )
| ( r @ SY42 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(589,plain,
( ( ( ! [SY99: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY99 )
| ( p @ SY99 ) ) )
= $true )
| ( ( ! [SY100: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY100 )
| ( q @ SY100 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(590,plain,
( ( ( ! [SY101: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY101 )
| ( p @ SY101 ) ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY102 )
| ( r @ SY102 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[524]) ).
thf(591,plain,
( ( ( ~ ( rel_s4 @ sK28_SY13 @ sK64_SY104 )
| ( q @ sK64_SY104 ) )
= $false )
| ( ( ~ ! [SY105: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY105 )
| ( r @ SY105 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[526]) ).
thf(592,plain,
! [SV18: $i] :
( ( ( ~ ( rel_s4 @ sK19_SY13 @ SV18 )
| ( p @ SV18 ) )
= $true )
| ( ( ! [SY44: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY44 )
| ( q @ SY44 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(593,plain,
! [SV19: $i] :
( ( ( ~ ( rel_s4 @ sK19_SY13 @ SV19 )
| ( p @ SV19 ) )
= $true )
| ( ( ! [SY46: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY46 )
| ( r @ SY46 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(594,plain,
( ( ( ~ ( rel_s4 @ sK19_SY13 @ sK56_SY48 ) )
= $false )
| ( ( ~ ! [SY49: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY49 )
| ( r @ SY49 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(595,plain,
( ( ( q @ sK56_SY48 )
= $false )
| ( ( ~ ! [SY49: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY49 )
| ( r @ SY49 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(596,plain,
( ( ( ! [SY148: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY148 )
| ( p @ SY148 ) )
| ! [SY149: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY149 )
| ( q @ SY149 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(597,plain,
( ( ( ! [SY150: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY150 )
| ( p @ SY150 ) )
| ! [SY151: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY151 )
| ( r @ SY151 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(598,plain,
( ( ( rel_s4 @ sK35_SY13 @ sK53_SY152 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(599,plain,
( ( ( ! [SY153: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY153 )
| ( q @ SY153 ) ) )
= $false )
| ( ( ~ ! [SY154: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY154 )
| ( r @ SY154 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(600,plain,
( ( ( ! [SY106: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY106 )
| ( p @ SY106 ) ) )
= $true )
| ( ( ! [SY107: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY107 )
| ( q @ SY107 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[535]) ).
thf(601,plain,
( ( ( ! [SY108: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY108 )
| ( p @ SY108 ) ) )
= $true )
| ( ( ! [SY109: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY109 )
| ( r @ SY109 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(602,plain,
( ( ( ~ ( rel_s4 @ sK29_SY13 @ sK65_SY111 )
| ( q @ sK65_SY111 ) )
= $false )
| ( ( ~ ! [SY112: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY112 )
| ( r @ SY112 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[538]) ).
thf(603,plain,
( ( ( ! [SY155: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY155 )
| ( p @ SY155 ) )
| ! [SY156: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY156 )
| ( q @ SY156 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(604,plain,
( ( ( ! [SY157: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY157 )
| ( p @ SY157 ) )
| ! [SY158: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY158 )
| ( r @ SY158 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(605,plain,
( ( ( rel_s4 @ sK36_SY13 @ sK54_SY159 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(606,plain,
( ( ( ! [SY160: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY160 )
| ( q @ SY160 ) ) )
= $false )
| ( ( ~ ! [SY161: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY161 )
| ( r @ SY161 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(607,plain,
( ( ( ! [SY113: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY113 )
| ( p @ SY113 ) ) )
= $true )
| ( ( ! [SY114: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY114 )
| ( q @ SY114 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(608,plain,
( ( ( ! [SY115: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY115 )
| ( p @ SY115 ) ) )
= $true )
| ( ( ! [SY116: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY116 )
| ( r @ SY116 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(609,plain,
( ( ( ~ ( rel_s4 @ sK30_SY13 @ sK66_SY118 )
| ( q @ sK66_SY118 ) )
= $false )
| ( ( ~ ! [SY119: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY119 )
| ( r @ SY119 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[547]) ).
thf(610,plain,
( ( ( ! [SY120: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY120 )
| ( p @ SY120 ) ) )
= $true )
| ( ( ! [SY121: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY121 )
| ( q @ SY121 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(611,plain,
( ( ( ! [SY122: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY122 )
| ( p @ SY122 ) ) )
= $true )
| ( ( ! [SY123: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY123 )
| ( r @ SY123 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(612,plain,
( ( ( ~ ( rel_s4 @ sK31_SY13 @ sK67_SY125 )
| ( q @ sK67_SY125 ) )
= $false )
| ( ( ~ ! [SY126: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY126 )
| ( r @ SY126 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[551]) ).
thf(613,plain,
! [SV20: $i] :
( ( ( ~ ( rel_s4 @ sK20_SY13 @ SV20 )
| ( p @ SV20 ) )
= $true )
| ( ( ! [SY51: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY51 )
| ( q @ SY51 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(614,plain,
! [SV21: $i] :
( ( ( ~ ( rel_s4 @ sK20_SY13 @ SV21 )
| ( p @ SV21 ) )
= $true )
| ( ( ! [SY53: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY53 )
| ( r @ SY53 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(615,plain,
( ( ( ~ ( rel_s4 @ sK20_SY13 @ sK57_SY55 ) )
= $false )
| ( ( ~ ! [SY56: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY56 )
| ( r @ SY56 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(616,plain,
( ( ( q @ sK57_SY55 )
= $false )
| ( ( ~ ! [SY56: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY56 )
| ( r @ SY56 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(617,plain,
( ( ( ! [SY127: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY127 )
| ( p @ SY127 ) ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY128 )
| ( q @ SY128 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(618,plain,
( ( ( ! [SY129: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY129 )
| ( p @ SY129 ) ) )
= $true )
| ( ( ! [SY130: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY130 )
| ( r @ SY130 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(619,plain,
( ( ( ~ ( rel_s4 @ sK32_SY13 @ sK68_SY132 )
| ( q @ sK68_SY132 ) )
= $false )
| ( ( ~ ! [SY133: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY133 )
| ( r @ SY133 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[558]) ).
thf(620,plain,
! [SV22: $i] :
( ( ( ~ ( rel_s4 @ sK21_SY13 @ SV22 )
| ( p @ SV22 ) )
= $true )
| ( ( ! [SY58: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY58 )
| ( q @ SY58 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(621,plain,
! [SV23: $i] :
( ( ( ~ ( rel_s4 @ sK21_SY13 @ SV23 )
| ( p @ SV23 ) )
= $true )
| ( ( ! [SY60: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY60 )
| ( r @ SY60 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(622,plain,
( ( ( ~ ( rel_s4 @ sK21_SY13 @ sK58_SY62 ) )
= $false )
| ( ( ~ ! [SY63: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY63 )
| ( r @ SY63 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(623,plain,
( ( ( q @ sK58_SY62 )
= $false )
| ( ( ~ ! [SY63: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY63 )
| ( r @ SY63 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(624,plain,
! [SV24: $i,SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV24 )
| ( p @ SV24 ) )
= $true )
| ( ( ! [SY65: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY65 )
| ( q @ SY65 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(625,plain,
! [SV25: $i,SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV25 )
| ( p @ SV25 ) )
= $true )
| ( ( ! [SY67: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY67 )
| ( r @ SY67 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(626,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK59_SY69 @ SV9 @ SV10 ) ) )
= $false )
| ( ( ~ ! [SY70: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY70 )
| ( r @ SY70 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(627,plain,
! [SV10: $i,SV9: $i] :
( ( ( q @ ( sK59_SY69 @ SV9 @ SV10 ) )
= $false )
| ( ( ~ ! [SY70: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY70 )
| ( r @ SY70 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(628,plain,
! [SV26: $i,SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV26 )
| ( p @ SV26 ) )
= $true )
| ( ( ! [SY72: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY72 )
| ( q @ SY72 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(629,plain,
! [SV27: $i,SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV27 )
| ( p @ SV27 ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY74 )
| ( r @ SY74 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(630,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK60_SY76 @ SV9 @ SV11 ) ) )
= $false )
| ( ( ~ ! [SY77: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY77 )
| ( r @ SY77 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[567]) ).
thf(631,plain,
! [SV11: $i,SV9: $i] :
( ( ( q @ ( sK60_SY76 @ SV9 @ SV11 ) )
= $false )
| ( ( ~ ! [SY77: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY77 )
| ( r @ SY77 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[567]) ).
thf(632,plain,
( ( ( ! [SY134: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY134 )
| ( p @ SY134 ) ) )
= $true )
| ( ( ! [SY135: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY135 )
| ( q @ SY135 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(633,plain,
( ( ( ! [SY136: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY136 )
| ( p @ SY136 ) ) )
= $true )
| ( ( ! [SY137: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY137 )
| ( r @ SY137 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(634,plain,
( ( ( ~ ( rel_s4 @ sK33_SY13 @ sK69_SY139 )
| ( q @ sK69_SY139 ) )
= $false )
| ( ( ~ ! [SY140: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY140 )
| ( r @ SY140 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[571]) ).
thf(635,plain,
! [SV28: $i] :
( ( ( ~ ( rel_s4 @ sK25_SY13 @ SV28 )
| ( p @ SV28 ) )
= $true )
| ( ( ! [SY79: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY79 )
| ( q @ SY79 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(636,plain,
! [SV29: $i] :
( ( ( ~ ( rel_s4 @ sK25_SY13 @ SV29 )
| ( p @ SV29 ) )
= $true )
| ( ( ! [SY81: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY81 )
| ( r @ SY81 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(637,plain,
( ( ( ~ ( rel_s4 @ sK25_SY13 @ sK61_SY83 ) )
= $false )
| ( ( ~ ! [SY84: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY84 )
| ( r @ SY84 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(638,plain,
( ( ( q @ sK61_SY83 )
= $false )
| ( ( ~ ! [SY84: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY84 )
| ( r @ SY84 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(639,plain,
( ( ( ! [SY141: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY141 )
| ( p @ SY141 ) ) )
= $true )
| ( ( ! [SY142: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY142 )
| ( q @ SY142 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(640,plain,
( ( ( ! [SY143: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY143 )
| ( p @ SY143 ) ) )
= $true )
| ( ( ! [SY144: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY144 )
| ( r @ SY144 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(641,plain,
( ( ( ~ ( rel_s4 @ sK34_SY13 @ sK70_SY146 )
| ( q @ sK70_SY146 ) )
= $false )
| ( ( ~ ! [SY147: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY147 )
| ( r @ SY147 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[578]) ).
thf(642,plain,
! [SV30: $i] :
( ( ( ~ ( rel_s4 @ sK26_SY13 @ SV30 )
| ( p @ SV30 ) )
= $true )
| ( ( ! [SY86: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY86 )
| ( q @ SY86 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(643,plain,
! [SV31: $i] :
( ( ( ~ ( rel_s4 @ sK26_SY13 @ SV31 )
| ( p @ SV31 ) )
= $true )
| ( ( ! [SY88: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY88 )
| ( r @ SY88 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(644,plain,
( ( ( ~ ( rel_s4 @ sK26_SY13 @ sK62_SY90 ) )
= $false )
| ( ( ~ ! [SY91: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY91 )
| ( r @ SY91 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(645,plain,
( ( ( q @ sK62_SY90 )
= $false )
| ( ( ~ ! [SY91: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY91 )
| ( r @ SY91 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(646,plain,
! [SV32: $i] :
( ( ( ~ ( rel_s4 @ sK27_SY13 @ SV32 )
| ( p @ SV32 ) )
= $true )
| ( ( ! [SY93: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY93 )
| ( q @ SY93 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(647,plain,
! [SV33: $i] :
( ( ( ~ ( rel_s4 @ sK27_SY13 @ SV33 )
| ( p @ SV33 ) )
= $true )
| ( ( ! [SY95: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY95 )
| ( r @ SY95 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(648,plain,
( ( ( ~ ( rel_s4 @ sK27_SY13 @ sK63_SY97 ) )
= $false )
| ( ( ~ ! [SY98: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY98 )
| ( r @ SY98 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(649,plain,
( ( ( q @ sK63_SY97 )
= $false )
| ( ( ~ ! [SY98: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY98 )
| ( r @ SY98 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(650,plain,
! [SV16: $i] :
( ( ( ~ ( rel_s4 @ sK18_SY13 @ SV16 ) )
= $true )
| ( ( p @ SV16 )
= $true )
| ( ( ! [SY37: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY37 )
| ( q @ SY37 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(651,plain,
! [SV17: $i] :
( ( ( ~ ( rel_s4 @ sK18_SY13 @ SV17 ) )
= $true )
| ( ( p @ SV17 )
= $true )
| ( ( ! [SY39: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY39 )
| ( r @ SY39 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(652,plain,
( ( ( rel_s4 @ sK18_SY13 @ sK55_SY41 )
= $true )
| ( ( ~ ! [SY42: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY42 )
| ( r @ SY42 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(653,plain,
( ( ( ! [SY42: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY42 )
| ( r @ SY42 ) ) )
= $false )
| ( ( q @ sK55_SY41 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(654,plain,
! [SV34: $i] :
( ( ( ~ ( rel_s4 @ sK28_SY13 @ SV34 )
| ( p @ SV34 ) )
= $true )
| ( ( ! [SY100: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY100 )
| ( q @ SY100 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(655,plain,
! [SV35: $i] :
( ( ( ~ ( rel_s4 @ sK28_SY13 @ SV35 )
| ( p @ SV35 ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY102 )
| ( r @ SY102 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(656,plain,
( ( ( ~ ( rel_s4 @ sK28_SY13 @ sK64_SY104 ) )
= $false )
| ( ( ~ ! [SY105: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY105 )
| ( r @ SY105 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(657,plain,
( ( ( q @ sK64_SY104 )
= $false )
| ( ( ~ ! [SY105: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY105 )
| ( r @ SY105 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(658,plain,
! [SV18: $i] :
( ( ( ~ ( rel_s4 @ sK19_SY13 @ SV18 ) )
= $true )
| ( ( p @ SV18 )
= $true )
| ( ( ! [SY44: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY44 )
| ( q @ SY44 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(659,plain,
! [SV19: $i] :
( ( ( ~ ( rel_s4 @ sK19_SY13 @ SV19 ) )
= $true )
| ( ( p @ SV19 )
= $true )
| ( ( ! [SY46: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY46 )
| ( r @ SY46 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[593]) ).
thf(660,plain,
( ( ( rel_s4 @ sK19_SY13 @ sK56_SY48 )
= $true )
| ( ( ~ ! [SY49: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY49 )
| ( r @ SY49 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(661,plain,
( ( ( ! [SY49: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY49 )
| ( r @ SY49 ) ) )
= $false )
| ( ( q @ sK56_SY48 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(662,plain,
( ( ( ! [SY148: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY148 )
| ( p @ SY148 ) ) )
= $true )
| ( ( ! [SY149: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY149 )
| ( q @ SY149 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(663,plain,
( ( ( ! [SY150: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY150 )
| ( p @ SY150 ) ) )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY151 )
| ( r @ SY151 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(664,plain,
( ( ( ~ ( rel_s4 @ sK35_SY13 @ sK71_SY153 )
| ( q @ sK71_SY153 ) )
= $false )
| ( ( ~ ! [SY154: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY154 )
| ( r @ SY154 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[599]) ).
thf(665,plain,
! [SV36: $i] :
( ( ( ~ ( rel_s4 @ sK29_SY13 @ SV36 )
| ( p @ SV36 ) )
= $true )
| ( ( ! [SY107: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY107 )
| ( q @ SY107 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(666,plain,
! [SV37: $i] :
( ( ( ~ ( rel_s4 @ sK29_SY13 @ SV37 )
| ( p @ SV37 ) )
= $true )
| ( ( ! [SY109: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY109 )
| ( r @ SY109 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(667,plain,
( ( ( ~ ( rel_s4 @ sK29_SY13 @ sK65_SY111 ) )
= $false )
| ( ( ~ ! [SY112: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY112 )
| ( r @ SY112 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(668,plain,
( ( ( q @ sK65_SY111 )
= $false )
| ( ( ~ ! [SY112: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY112 )
| ( r @ SY112 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(669,plain,
( ( ( ! [SY155: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY155 )
| ( p @ SY155 ) ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY156 )
| ( q @ SY156 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(670,plain,
( ( ( ! [SY157: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY157 )
| ( p @ SY157 ) ) )
= $true )
| ( ( ! [SY158: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY158 )
| ( r @ SY158 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(671,plain,
( ( ( ~ ( rel_s4 @ sK36_SY13 @ sK72_SY160 )
| ( q @ sK72_SY160 ) )
= $false )
| ( ( ~ ! [SY161: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY161 )
| ( r @ SY161 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[606]) ).
thf(672,plain,
! [SV38: $i] :
( ( ( ~ ( rel_s4 @ sK30_SY13 @ SV38 )
| ( p @ SV38 ) )
= $true )
| ( ( ! [SY114: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY114 )
| ( q @ SY114 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(673,plain,
! [SV39: $i] :
( ( ( ~ ( rel_s4 @ sK30_SY13 @ SV39 )
| ( p @ SV39 ) )
= $true )
| ( ( ! [SY116: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY116 )
| ( r @ SY116 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(674,plain,
( ( ( ~ ( rel_s4 @ sK30_SY13 @ sK66_SY118 ) )
= $false )
| ( ( ~ ! [SY119: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY119 )
| ( r @ SY119 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(675,plain,
( ( ( q @ sK66_SY118 )
= $false )
| ( ( ~ ! [SY119: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY119 )
| ( r @ SY119 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(676,plain,
! [SV40: $i] :
( ( ( ~ ( rel_s4 @ sK31_SY13 @ SV40 )
| ( p @ SV40 ) )
= $true )
| ( ( ! [SY121: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY121 )
| ( q @ SY121 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(677,plain,
! [SV41: $i] :
( ( ( ~ ( rel_s4 @ sK31_SY13 @ SV41 )
| ( p @ SV41 ) )
= $true )
| ( ( ! [SY123: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY123 )
| ( r @ SY123 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(678,plain,
( ( ( ~ ( rel_s4 @ sK31_SY13 @ sK67_SY125 ) )
= $false )
| ( ( ~ ! [SY126: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY126 )
| ( r @ SY126 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(679,plain,
( ( ( q @ sK67_SY125 )
= $false )
| ( ( ~ ! [SY126: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY126 )
| ( r @ SY126 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(680,plain,
! [SV20: $i] :
( ( ( ~ ( rel_s4 @ sK20_SY13 @ SV20 ) )
= $true )
| ( ( p @ SV20 )
= $true )
| ( ( ! [SY51: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY51 )
| ( q @ SY51 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(681,plain,
! [SV21: $i] :
( ( ( ~ ( rel_s4 @ sK20_SY13 @ SV21 ) )
= $true )
| ( ( p @ SV21 )
= $true )
| ( ( ! [SY53: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY53 )
| ( r @ SY53 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(682,plain,
( ( ( rel_s4 @ sK20_SY13 @ sK57_SY55 )
= $true )
| ( ( ~ ! [SY56: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY56 )
| ( r @ SY56 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(683,plain,
( ( ( ! [SY56: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY56 )
| ( r @ SY56 ) ) )
= $false )
| ( ( q @ sK57_SY55 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(684,plain,
! [SV42: $i] :
( ( ( ~ ( rel_s4 @ sK32_SY13 @ SV42 )
| ( p @ SV42 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY128 )
| ( q @ SY128 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(685,plain,
! [SV43: $i] :
( ( ( ~ ( rel_s4 @ sK32_SY13 @ SV43 )
| ( p @ SV43 ) )
= $true )
| ( ( ! [SY130: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY130 )
| ( r @ SY130 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(686,plain,
( ( ( ~ ( rel_s4 @ sK32_SY13 @ sK68_SY132 ) )
= $false )
| ( ( ~ ! [SY133: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY133 )
| ( r @ SY133 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(687,plain,
( ( ( q @ sK68_SY132 )
= $false )
| ( ( ~ ! [SY133: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY133 )
| ( r @ SY133 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(688,plain,
! [SV22: $i] :
( ( ( ~ ( rel_s4 @ sK21_SY13 @ SV22 ) )
= $true )
| ( ( p @ SV22 )
= $true )
| ( ( ! [SY58: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY58 )
| ( q @ SY58 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(689,plain,
! [SV23: $i] :
( ( ( ~ ( rel_s4 @ sK21_SY13 @ SV23 ) )
= $true )
| ( ( p @ SV23 )
= $true )
| ( ( ! [SY60: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY60 )
| ( r @ SY60 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(690,plain,
( ( ( rel_s4 @ sK21_SY13 @ sK58_SY62 )
= $true )
| ( ( ~ ! [SY63: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY63 )
| ( r @ SY63 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[622]) ).
thf(691,plain,
( ( ( ! [SY63: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY63 )
| ( r @ SY63 ) ) )
= $false )
| ( ( q @ sK58_SY62 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(692,plain,
! [SV24: $i,SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV24 ) )
= $true )
| ( ( p @ SV24 )
= $true )
| ( ( ! [SY65: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY65 )
| ( q @ SY65 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(693,plain,
! [SV25: $i,SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV25 ) )
= $true )
| ( ( p @ SV25 )
= $true )
| ( ( ! [SY67: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY67 )
| ( r @ SY67 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(694,plain,
! [SV9: $i,SV10: $i] :
( ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK59_SY69 @ SV9 @ SV10 ) )
= $true )
| ( ( ~ ! [SY70: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY70 )
| ( r @ SY70 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(695,plain,
! [SV9: $i,SV10: $i] :
( ( ( ! [SY70: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY70 )
| ( r @ SY70 ) ) )
= $false )
| ( ( q @ ( sK59_SY69 @ SV9 @ SV10 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(696,plain,
! [SV26: $i,SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV26 ) )
= $true )
| ( ( p @ SV26 )
= $true )
| ( ( ! [SY72: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY72 )
| ( q @ SY72 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(697,plain,
! [SV27: $i,SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV27 ) )
= $true )
| ( ( p @ SV27 )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY74 )
| ( r @ SY74 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(698,plain,
! [SV9: $i,SV11: $i] :
( ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK60_SY76 @ SV9 @ SV11 ) )
= $true )
| ( ( ~ ! [SY77: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY77 )
| ( r @ SY77 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(699,plain,
! [SV9: $i,SV11: $i] :
( ( ( ! [SY77: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY77 )
| ( r @ SY77 ) ) )
= $false )
| ( ( q @ ( sK60_SY76 @ SV9 @ SV11 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(700,plain,
! [SV44: $i] :
( ( ( ~ ( rel_s4 @ sK33_SY13 @ SV44 )
| ( p @ SV44 ) )
= $true )
| ( ( ! [SY135: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY135 )
| ( q @ SY135 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(701,plain,
! [SV45: $i] :
( ( ( ~ ( rel_s4 @ sK33_SY13 @ SV45 )
| ( p @ SV45 ) )
= $true )
| ( ( ! [SY137: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY137 )
| ( r @ SY137 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(702,plain,
( ( ( ~ ( rel_s4 @ sK33_SY13 @ sK69_SY139 ) )
= $false )
| ( ( ~ ! [SY140: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY140 )
| ( r @ SY140 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[634]) ).
thf(703,plain,
( ( ( q @ sK69_SY139 )
= $false )
| ( ( ~ ! [SY140: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY140 )
| ( r @ SY140 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[634]) ).
thf(704,plain,
! [SV28: $i] :
( ( ( ~ ( rel_s4 @ sK25_SY13 @ SV28 ) )
= $true )
| ( ( p @ SV28 )
= $true )
| ( ( ! [SY79: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY79 )
| ( q @ SY79 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(705,plain,
! [SV29: $i] :
( ( ( ~ ( rel_s4 @ sK25_SY13 @ SV29 ) )
= $true )
| ( ( p @ SV29 )
= $true )
| ( ( ! [SY81: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY81 )
| ( r @ SY81 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(706,plain,
( ( ( rel_s4 @ sK25_SY13 @ sK61_SY83 )
= $true )
| ( ( ~ ! [SY84: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY84 )
| ( r @ SY84 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(707,plain,
( ( ( ! [SY84: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY84 )
| ( r @ SY84 ) ) )
= $false )
| ( ( q @ sK61_SY83 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(708,plain,
! [SV46: $i] :
( ( ( ~ ( rel_s4 @ sK34_SY13 @ SV46 )
| ( p @ SV46 ) )
= $true )
| ( ( ! [SY142: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY142 )
| ( q @ SY142 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(709,plain,
! [SV47: $i] :
( ( ( ~ ( rel_s4 @ sK34_SY13 @ SV47 )
| ( p @ SV47 ) )
= $true )
| ( ( ! [SY144: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY144 )
| ( r @ SY144 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(710,plain,
( ( ( ~ ( rel_s4 @ sK34_SY13 @ sK70_SY146 ) )
= $false )
| ( ( ~ ! [SY147: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY147 )
| ( r @ SY147 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[641]) ).
thf(711,plain,
( ( ( q @ sK70_SY146 )
= $false )
| ( ( ~ ! [SY147: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY147 )
| ( r @ SY147 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[641]) ).
thf(712,plain,
! [SV30: $i] :
( ( ( ~ ( rel_s4 @ sK26_SY13 @ SV30 ) )
= $true )
| ( ( p @ SV30 )
= $true )
| ( ( ! [SY86: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY86 )
| ( q @ SY86 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(713,plain,
! [SV31: $i] :
( ( ( ~ ( rel_s4 @ sK26_SY13 @ SV31 ) )
= $true )
| ( ( p @ SV31 )
= $true )
| ( ( ! [SY88: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY88 )
| ( r @ SY88 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(714,plain,
( ( ( rel_s4 @ sK26_SY13 @ sK62_SY90 )
= $true )
| ( ( ~ ! [SY91: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY91 )
| ( r @ SY91 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(715,plain,
( ( ( ! [SY91: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY91 )
| ( r @ SY91 ) ) )
= $false )
| ( ( q @ sK62_SY90 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(716,plain,
! [SV32: $i] :
( ( ( ~ ( rel_s4 @ sK27_SY13 @ SV32 ) )
= $true )
| ( ( p @ SV32 )
= $true )
| ( ( ! [SY93: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY93 )
| ( q @ SY93 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[646]) ).
thf(717,plain,
! [SV33: $i] :
( ( ( ~ ( rel_s4 @ sK27_SY13 @ SV33 ) )
= $true )
| ( ( p @ SV33 )
= $true )
| ( ( ! [SY95: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY95 )
| ( r @ SY95 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(718,plain,
( ( ( rel_s4 @ sK27_SY13 @ sK63_SY97 )
= $true )
| ( ( ~ ! [SY98: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY98 )
| ( r @ SY98 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(719,plain,
( ( ( ! [SY98: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY98 )
| ( r @ SY98 ) ) )
= $false )
| ( ( q @ sK63_SY97 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(720,plain,
! [SV16: $i] :
( ( ( rel_s4 @ sK18_SY13 @ SV16 )
= $false )
| ( ( p @ SV16 )
= $true )
| ( ( ! [SY37: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY37 )
| ( q @ SY37 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(721,plain,
! [SV17: $i] :
( ( ( rel_s4 @ sK18_SY13 @ SV17 )
= $false )
| ( ( p @ SV17 )
= $true )
| ( ( ! [SY39: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY39 )
| ( r @ SY39 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(722,plain,
( ( ( ! [SY42: $i] :
( ~ ( rel_s4 @ sK18_SY13 @ SY42 )
| ( r @ SY42 ) ) )
= $false )
| ( ( rel_s4 @ sK18_SY13 @ sK55_SY41 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(723,plain,
( ( ( ~ ( rel_s4 @ sK18_SY13 @ sK73_SY42 )
| ( r @ sK73_SY42 ) )
= $false )
| ( ( q @ sK55_SY41 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[653]) ).
thf(724,plain,
! [SV34: $i] :
( ( ( ~ ( rel_s4 @ sK28_SY13 @ SV34 ) )
= $true )
| ( ( p @ SV34 )
= $true )
| ( ( ! [SY100: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY100 )
| ( q @ SY100 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(725,plain,
! [SV35: $i] :
( ( ( ~ ( rel_s4 @ sK28_SY13 @ SV35 ) )
= $true )
| ( ( p @ SV35 )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY102 )
| ( r @ SY102 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(726,plain,
( ( ( rel_s4 @ sK28_SY13 @ sK64_SY104 )
= $true )
| ( ( ~ ! [SY105: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY105 )
| ( r @ SY105 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[656]) ).
thf(727,plain,
( ( ( ! [SY105: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY105 )
| ( r @ SY105 ) ) )
= $false )
| ( ( q @ sK64_SY104 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(728,plain,
! [SV18: $i] :
( ( ( rel_s4 @ sK19_SY13 @ SV18 )
= $false )
| ( ( p @ SV18 )
= $true )
| ( ( ! [SY44: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY44 )
| ( q @ SY44 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(729,plain,
! [SV19: $i] :
( ( ( rel_s4 @ sK19_SY13 @ SV19 )
= $false )
| ( ( p @ SV19 )
= $true )
| ( ( ! [SY46: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY46 )
| ( r @ SY46 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(730,plain,
( ( ( ! [SY49: $i] :
( ~ ( rel_s4 @ sK19_SY13 @ SY49 )
| ( r @ SY49 ) ) )
= $false )
| ( ( rel_s4 @ sK19_SY13 @ sK56_SY48 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(731,plain,
( ( ( ~ ( rel_s4 @ sK19_SY13 @ sK74_SY49 )
| ( r @ sK74_SY49 ) )
= $false )
| ( ( q @ sK56_SY48 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[661]) ).
thf(732,plain,
! [SV48: $i] :
( ( ( ~ ( rel_s4 @ sK35_SY13 @ SV48 )
| ( p @ SV48 ) )
= $true )
| ( ( ! [SY149: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY149 )
| ( q @ SY149 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(733,plain,
! [SV49: $i] :
( ( ( ~ ( rel_s4 @ sK35_SY13 @ SV49 )
| ( p @ SV49 ) )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY151 )
| ( r @ SY151 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(734,plain,
( ( ( ~ ( rel_s4 @ sK35_SY13 @ sK71_SY153 ) )
= $false )
| ( ( ~ ! [SY154: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY154 )
| ( r @ SY154 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(735,plain,
( ( ( q @ sK71_SY153 )
= $false )
| ( ( ~ ! [SY154: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY154 )
| ( r @ SY154 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(736,plain,
! [SV36: $i] :
( ( ( ~ ( rel_s4 @ sK29_SY13 @ SV36 ) )
= $true )
| ( ( p @ SV36 )
= $true )
| ( ( ! [SY107: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY107 )
| ( q @ SY107 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(737,plain,
! [SV37: $i] :
( ( ( ~ ( rel_s4 @ sK29_SY13 @ SV37 ) )
= $true )
| ( ( p @ SV37 )
= $true )
| ( ( ! [SY109: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY109 )
| ( r @ SY109 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(738,plain,
( ( ( rel_s4 @ sK29_SY13 @ sK65_SY111 )
= $true )
| ( ( ~ ! [SY112: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY112 )
| ( r @ SY112 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(739,plain,
( ( ( ! [SY112: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY112 )
| ( r @ SY112 ) ) )
= $false )
| ( ( q @ sK65_SY111 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(740,plain,
! [SV50: $i] :
( ( ( ~ ( rel_s4 @ sK36_SY13 @ SV50 )
| ( p @ SV50 ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY156 )
| ( q @ SY156 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(741,plain,
! [SV51: $i] :
( ( ( ~ ( rel_s4 @ sK36_SY13 @ SV51 )
| ( p @ SV51 ) )
= $true )
| ( ( ! [SY158: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY158 )
| ( r @ SY158 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(742,plain,
( ( ( ~ ( rel_s4 @ sK36_SY13 @ sK72_SY160 ) )
= $false )
| ( ( ~ ! [SY161: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY161 )
| ( r @ SY161 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(743,plain,
( ( ( q @ sK72_SY160 )
= $false )
| ( ( ~ ! [SY161: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY161 )
| ( r @ SY161 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(744,plain,
! [SV38: $i] :
( ( ( ~ ( rel_s4 @ sK30_SY13 @ SV38 ) )
= $true )
| ( ( p @ SV38 )
= $true )
| ( ( ! [SY114: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY114 )
| ( q @ SY114 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(745,plain,
! [SV39: $i] :
( ( ( ~ ( rel_s4 @ sK30_SY13 @ SV39 ) )
= $true )
| ( ( p @ SV39 )
= $true )
| ( ( ! [SY116: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY116 )
| ( r @ SY116 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(746,plain,
( ( ( rel_s4 @ sK30_SY13 @ sK66_SY118 )
= $true )
| ( ( ~ ! [SY119: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY119 )
| ( r @ SY119 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(747,plain,
( ( ( ! [SY119: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY119 )
| ( r @ SY119 ) ) )
= $false )
| ( ( q @ sK66_SY118 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(748,plain,
! [SV40: $i] :
( ( ( ~ ( rel_s4 @ sK31_SY13 @ SV40 ) )
= $true )
| ( ( p @ SV40 )
= $true )
| ( ( ! [SY121: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY121 )
| ( q @ SY121 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(749,plain,
! [SV41: $i] :
( ( ( ~ ( rel_s4 @ sK31_SY13 @ SV41 ) )
= $true )
| ( ( p @ SV41 )
= $true )
| ( ( ! [SY123: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY123 )
| ( r @ SY123 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(750,plain,
( ( ( rel_s4 @ sK31_SY13 @ sK67_SY125 )
= $true )
| ( ( ~ ! [SY126: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY126 )
| ( r @ SY126 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(751,plain,
( ( ( ! [SY126: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY126 )
| ( r @ SY126 ) ) )
= $false )
| ( ( q @ sK67_SY125 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(752,plain,
! [SV20: $i] :
( ( ( rel_s4 @ sK20_SY13 @ SV20 )
= $false )
| ( ( p @ SV20 )
= $true )
| ( ( ! [SY51: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY51 )
| ( q @ SY51 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(753,plain,
! [SV21: $i] :
( ( ( rel_s4 @ sK20_SY13 @ SV21 )
= $false )
| ( ( p @ SV21 )
= $true )
| ( ( ! [SY53: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY53 )
| ( r @ SY53 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(754,plain,
( ( ( ! [SY56: $i] :
( ~ ( rel_s4 @ sK20_SY13 @ SY56 )
| ( r @ SY56 ) ) )
= $false )
| ( ( rel_s4 @ sK20_SY13 @ sK57_SY55 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(755,plain,
( ( ( ~ ( rel_s4 @ sK20_SY13 @ sK75_SY56 )
| ( r @ sK75_SY56 ) )
= $false )
| ( ( q @ sK57_SY55 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[683]) ).
thf(756,plain,
! [SV42: $i] :
( ( ( ~ ( rel_s4 @ sK32_SY13 @ SV42 ) )
= $true )
| ( ( p @ SV42 )
= $true )
| ( ( ! [SY128: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY128 )
| ( q @ SY128 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(757,plain,
! [SV43: $i] :
( ( ( ~ ( rel_s4 @ sK32_SY13 @ SV43 ) )
= $true )
| ( ( p @ SV43 )
= $true )
| ( ( ! [SY130: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY130 )
| ( r @ SY130 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(758,plain,
( ( ( rel_s4 @ sK32_SY13 @ sK68_SY132 )
= $true )
| ( ( ~ ! [SY133: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY133 )
| ( r @ SY133 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[686]) ).
thf(759,plain,
( ( ( ! [SY133: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY133 )
| ( r @ SY133 ) ) )
= $false )
| ( ( q @ sK68_SY132 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(760,plain,
! [SV22: $i] :
( ( ( rel_s4 @ sK21_SY13 @ SV22 )
= $false )
| ( ( p @ SV22 )
= $true )
| ( ( ! [SY58: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY58 )
| ( q @ SY58 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(761,plain,
! [SV23: $i] :
( ( ( rel_s4 @ sK21_SY13 @ SV23 )
= $false )
| ( ( p @ SV23 )
= $true )
| ( ( ! [SY60: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY60 )
| ( r @ SY60 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(762,plain,
( ( ( ! [SY63: $i] :
( ~ ( rel_s4 @ sK21_SY13 @ SY63 )
| ( r @ SY63 ) ) )
= $false )
| ( ( rel_s4 @ sK21_SY13 @ sK58_SY62 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(763,plain,
( ( ( ~ ( rel_s4 @ sK21_SY13 @ sK76_SY63 )
| ( r @ sK76_SY63 ) )
= $false )
| ( ( q @ sK58_SY62 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[691]) ).
thf(764,plain,
! [SV24: $i,SV9: $i,SV10: $i] :
( ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV24 )
= $false )
| ( ( p @ SV24 )
= $true )
| ( ( ! [SY65: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY65 )
| ( q @ SY65 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(765,plain,
! [SV25: $i,SV9: $i,SV10: $i] :
( ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV25 )
= $false )
| ( ( p @ SV25 )
= $true )
| ( ( ! [SY67: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY67 )
| ( r @ SY67 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(766,plain,
! [SV9: $i,SV10: $i] :
( ( ( ! [SY70: $i] :
( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SY70 )
| ( r @ SY70 ) ) )
= $false )
| ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK59_SY69 @ SV9 @ SV10 ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(767,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK77_SY70 @ SV9 @ SV10 ) )
| ( r @ ( sK77_SY70 @ SV9 @ SV10 ) ) )
= $false )
| ( ( q @ ( sK59_SY69 @ SV9 @ SV10 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[695]) ).
thf(768,plain,
! [SV26: $i,SV9: $i,SV11: $i] :
( ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV26 )
= $false )
| ( ( p @ SV26 )
= $true )
| ( ( ! [SY72: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY72 )
| ( q @ SY72 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(769,plain,
! [SV27: $i,SV9: $i,SV11: $i] :
( ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV27 )
= $false )
| ( ( p @ SV27 )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY74 )
| ( r @ SY74 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(770,plain,
! [SV9: $i,SV11: $i] :
( ( ( ! [SY77: $i] :
( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SY77 )
| ( r @ SY77 ) ) )
= $false )
| ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK60_SY76 @ SV9 @ SV11 ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(771,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK78_SY77 @ SV9 @ SV11 ) )
| ( r @ ( sK78_SY77 @ SV9 @ SV11 ) ) )
= $false )
| ( ( q @ ( sK60_SY76 @ SV9 @ SV11 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[699]) ).
thf(772,plain,
! [SV44: $i] :
( ( ( ~ ( rel_s4 @ sK33_SY13 @ SV44 ) )
= $true )
| ( ( p @ SV44 )
= $true )
| ( ( ! [SY135: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY135 )
| ( q @ SY135 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[700]) ).
thf(773,plain,
! [SV45: $i] :
( ( ( ~ ( rel_s4 @ sK33_SY13 @ SV45 ) )
= $true )
| ( ( p @ SV45 )
= $true )
| ( ( ! [SY137: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY137 )
| ( r @ SY137 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(774,plain,
( ( ( rel_s4 @ sK33_SY13 @ sK69_SY139 )
= $true )
| ( ( ~ ! [SY140: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY140 )
| ( r @ SY140 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[702]) ).
thf(775,plain,
( ( ( ! [SY140: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY140 )
| ( r @ SY140 ) ) )
= $false )
| ( ( q @ sK69_SY139 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(776,plain,
! [SV28: $i] :
( ( ( rel_s4 @ sK25_SY13 @ SV28 )
= $false )
| ( ( p @ SV28 )
= $true )
| ( ( ! [SY79: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY79 )
| ( q @ SY79 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(777,plain,
! [SV29: $i] :
( ( ( rel_s4 @ sK25_SY13 @ SV29 )
= $false )
| ( ( p @ SV29 )
= $true )
| ( ( ! [SY81: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY81 )
| ( r @ SY81 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(778,plain,
( ( ( ! [SY84: $i] :
( ~ ( rel_s4 @ sK25_SY13 @ SY84 )
| ( r @ SY84 ) ) )
= $false )
| ( ( rel_s4 @ sK25_SY13 @ sK61_SY83 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(779,plain,
( ( ( ~ ( rel_s4 @ sK25_SY13 @ sK79_SY84 )
| ( r @ sK79_SY84 ) )
= $false )
| ( ( q @ sK61_SY83 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[707]) ).
thf(780,plain,
! [SV46: $i] :
( ( ( ~ ( rel_s4 @ sK34_SY13 @ SV46 ) )
= $true )
| ( ( p @ SV46 )
= $true )
| ( ( ! [SY142: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY142 )
| ( q @ SY142 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(781,plain,
! [SV47: $i] :
( ( ( ~ ( rel_s4 @ sK34_SY13 @ SV47 ) )
= $true )
| ( ( p @ SV47 )
= $true )
| ( ( ! [SY144: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY144 )
| ( r @ SY144 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(782,plain,
( ( ( rel_s4 @ sK34_SY13 @ sK70_SY146 )
= $true )
| ( ( ~ ! [SY147: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY147 )
| ( r @ SY147 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[710]) ).
thf(783,plain,
( ( ( ! [SY147: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY147 )
| ( r @ SY147 ) ) )
= $false )
| ( ( q @ sK70_SY146 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(784,plain,
! [SV30: $i] :
( ( ( rel_s4 @ sK26_SY13 @ SV30 )
= $false )
| ( ( p @ SV30 )
= $true )
| ( ( ! [SY86: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY86 )
| ( q @ SY86 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(785,plain,
! [SV31: $i] :
( ( ( rel_s4 @ sK26_SY13 @ SV31 )
= $false )
| ( ( p @ SV31 )
= $true )
| ( ( ! [SY88: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY88 )
| ( r @ SY88 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(786,plain,
( ( ( ! [SY91: $i] :
( ~ ( rel_s4 @ sK26_SY13 @ SY91 )
| ( r @ SY91 ) ) )
= $false )
| ( ( rel_s4 @ sK26_SY13 @ sK62_SY90 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(787,plain,
( ( ( ~ ( rel_s4 @ sK26_SY13 @ sK80_SY91 )
| ( r @ sK80_SY91 ) )
= $false )
| ( ( q @ sK62_SY90 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[715]) ).
thf(788,plain,
! [SV32: $i] :
( ( ( rel_s4 @ sK27_SY13 @ SV32 )
= $false )
| ( ( p @ SV32 )
= $true )
| ( ( ! [SY93: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY93 )
| ( q @ SY93 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(789,plain,
! [SV33: $i] :
( ( ( rel_s4 @ sK27_SY13 @ SV33 )
= $false )
| ( ( p @ SV33 )
= $true )
| ( ( ! [SY95: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY95 )
| ( r @ SY95 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(790,plain,
( ( ( ! [SY98: $i] :
( ~ ( rel_s4 @ sK27_SY13 @ SY98 )
| ( r @ SY98 ) ) )
= $false )
| ( ( rel_s4 @ sK27_SY13 @ sK63_SY97 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(791,plain,
( ( ( ~ ( rel_s4 @ sK27_SY13 @ sK81_SY98 )
| ( r @ sK81_SY98 ) )
= $false )
| ( ( q @ sK63_SY97 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[719]) ).
thf(792,plain,
! [SV16: $i,SV52: $i] :
( ( ( ~ ( rel_s4 @ sK18_SY13 @ SV52 )
| ( q @ SV52 ) )
= $true )
| ( ( p @ SV16 )
= $true )
| ( ( rel_s4 @ sK18_SY13 @ SV16 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(793,plain,
! [SV17: $i,SV53: $i] :
( ( ( ~ ( rel_s4 @ sK18_SY13 @ SV53 )
| ( r @ SV53 ) )
= $true )
| ( ( p @ SV17 )
= $true )
| ( ( rel_s4 @ sK18_SY13 @ SV17 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(794,plain,
( ( ( ~ ( rel_s4 @ sK18_SY13 @ sK82_SY42 )
| ( r @ sK82_SY42 ) )
= $false )
| ( ( rel_s4 @ sK18_SY13 @ sK55_SY41 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[722]) ).
thf(795,plain,
( ( ( ~ ( rel_s4 @ sK18_SY13 @ sK73_SY42 ) )
= $false )
| ( ( q @ sK55_SY41 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(796,plain,
( ( ( r @ sK73_SY42 )
= $false )
| ( ( q @ sK55_SY41 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(797,plain,
! [SV34: $i] :
( ( ( rel_s4 @ sK28_SY13 @ SV34 )
= $false )
| ( ( p @ SV34 )
= $true )
| ( ( ! [SY100: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY100 )
| ( q @ SY100 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(798,plain,
! [SV35: $i] :
( ( ( rel_s4 @ sK28_SY13 @ SV35 )
= $false )
| ( ( p @ SV35 )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY102 )
| ( r @ SY102 ) ) )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(799,plain,
( ( ( ! [SY105: $i] :
( ~ ( rel_s4 @ sK28_SY13 @ SY105 )
| ( r @ SY105 ) ) )
= $false )
| ( ( rel_s4 @ sK28_SY13 @ sK64_SY104 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(800,plain,
( ( ( ~ ( rel_s4 @ sK28_SY13 @ sK83_SY105 )
| ( r @ sK83_SY105 ) )
= $false )
| ( ( q @ sK64_SY104 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[727]) ).
thf(801,plain,
! [SV18: $i,SV54: $i] :
( ( ( ~ ( rel_s4 @ sK19_SY13 @ SV54 )
| ( q @ SV54 ) )
= $true )
| ( ( p @ SV18 )
= $true )
| ( ( rel_s4 @ sK19_SY13 @ SV18 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(802,plain,
! [SV19: $i,SV55: $i] :
( ( ( ~ ( rel_s4 @ sK19_SY13 @ SV55 )
| ( r @ SV55 ) )
= $true )
| ( ( p @ SV19 )
= $true )
| ( ( rel_s4 @ sK19_SY13 @ SV19 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(803,plain,
( ( ( ~ ( rel_s4 @ sK19_SY13 @ sK84_SY49 )
| ( r @ sK84_SY49 ) )
= $false )
| ( ( rel_s4 @ sK19_SY13 @ sK56_SY48 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[730]) ).
thf(804,plain,
( ( ( ~ ( rel_s4 @ sK19_SY13 @ sK74_SY49 ) )
= $false )
| ( ( q @ sK56_SY48 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(805,plain,
( ( ( r @ sK74_SY49 )
= $false )
| ( ( q @ sK56_SY48 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(806,plain,
! [SV48: $i] :
( ( ( ~ ( rel_s4 @ sK35_SY13 @ SV48 ) )
= $true )
| ( ( p @ SV48 )
= $true )
| ( ( ! [SY149: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY149 )
| ( q @ SY149 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[732]) ).
thf(807,plain,
! [SV49: $i] :
( ( ( ~ ( rel_s4 @ sK35_SY13 @ SV49 ) )
= $true )
| ( ( p @ SV49 )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY151 )
| ( r @ SY151 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(808,plain,
( ( ( rel_s4 @ sK35_SY13 @ sK71_SY153 )
= $true )
| ( ( ~ ! [SY154: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY154 )
| ( r @ SY154 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[734]) ).
thf(809,plain,
( ( ( ! [SY154: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY154 )
| ( r @ SY154 ) ) )
= $false )
| ( ( q @ sK71_SY153 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(810,plain,
! [SV36: $i] :
( ( ( rel_s4 @ sK29_SY13 @ SV36 )
= $false )
| ( ( p @ SV36 )
= $true )
| ( ( ! [SY107: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY107 )
| ( q @ SY107 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(811,plain,
! [SV37: $i] :
( ( ( rel_s4 @ sK29_SY13 @ SV37 )
= $false )
| ( ( p @ SV37 )
= $true )
| ( ( ! [SY109: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY109 )
| ( r @ SY109 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(812,plain,
( ( ( ! [SY112: $i] :
( ~ ( rel_s4 @ sK29_SY13 @ SY112 )
| ( r @ SY112 ) ) )
= $false )
| ( ( rel_s4 @ sK29_SY13 @ sK65_SY111 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(813,plain,
( ( ( ~ ( rel_s4 @ sK29_SY13 @ sK85_SY112 )
| ( r @ sK85_SY112 ) )
= $false )
| ( ( q @ sK65_SY111 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[739]) ).
thf(814,plain,
! [SV50: $i] :
( ( ( ~ ( rel_s4 @ sK36_SY13 @ SV50 ) )
= $true )
| ( ( p @ SV50 )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY156 )
| ( q @ SY156 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(815,plain,
! [SV51: $i] :
( ( ( ~ ( rel_s4 @ sK36_SY13 @ SV51 ) )
= $true )
| ( ( p @ SV51 )
= $true )
| ( ( ! [SY158: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY158 )
| ( r @ SY158 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(816,plain,
( ( ( rel_s4 @ sK36_SY13 @ sK72_SY160 )
= $true )
| ( ( ~ ! [SY161: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY161 )
| ( r @ SY161 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(817,plain,
( ( ( ! [SY161: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY161 )
| ( r @ SY161 ) ) )
= $false )
| ( ( q @ sK72_SY160 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(818,plain,
! [SV38: $i] :
( ( ( rel_s4 @ sK30_SY13 @ SV38 )
= $false )
| ( ( p @ SV38 )
= $true )
| ( ( ! [SY114: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY114 )
| ( q @ SY114 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(819,plain,
! [SV39: $i] :
( ( ( rel_s4 @ sK30_SY13 @ SV39 )
= $false )
| ( ( p @ SV39 )
= $true )
| ( ( ! [SY116: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY116 )
| ( r @ SY116 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(820,plain,
( ( ( ! [SY119: $i] :
( ~ ( rel_s4 @ sK30_SY13 @ SY119 )
| ( r @ SY119 ) ) )
= $false )
| ( ( rel_s4 @ sK30_SY13 @ sK66_SY118 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(821,plain,
( ( ( ~ ( rel_s4 @ sK30_SY13 @ sK86_SY119 )
| ( r @ sK86_SY119 ) )
= $false )
| ( ( q @ sK66_SY118 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[747]) ).
thf(822,plain,
! [SV40: $i] :
( ( ( rel_s4 @ sK31_SY13 @ SV40 )
= $false )
| ( ( p @ SV40 )
= $true )
| ( ( ! [SY121: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY121 )
| ( q @ SY121 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(823,plain,
! [SV41: $i] :
( ( ( rel_s4 @ sK31_SY13 @ SV41 )
= $false )
| ( ( p @ SV41 )
= $true )
| ( ( ! [SY123: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY123 )
| ( r @ SY123 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(824,plain,
( ( ( ! [SY126: $i] :
( ~ ( rel_s4 @ sK31_SY13 @ SY126 )
| ( r @ SY126 ) ) )
= $false )
| ( ( rel_s4 @ sK31_SY13 @ sK67_SY125 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(825,plain,
( ( ( ~ ( rel_s4 @ sK31_SY13 @ sK87_SY126 )
| ( r @ sK87_SY126 ) )
= $false )
| ( ( q @ sK67_SY125 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[751]) ).
thf(826,plain,
! [SV20: $i,SV56: $i] :
( ( ( ~ ( rel_s4 @ sK20_SY13 @ SV56 )
| ( q @ SV56 ) )
= $true )
| ( ( p @ SV20 )
= $true )
| ( ( rel_s4 @ sK20_SY13 @ SV20 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(827,plain,
! [SV21: $i,SV57: $i] :
( ( ( ~ ( rel_s4 @ sK20_SY13 @ SV57 )
| ( r @ SV57 ) )
= $true )
| ( ( p @ SV21 )
= $true )
| ( ( rel_s4 @ sK20_SY13 @ SV21 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(828,plain,
( ( ( ~ ( rel_s4 @ sK20_SY13 @ sK88_SY56 )
| ( r @ sK88_SY56 ) )
= $false )
| ( ( rel_s4 @ sK20_SY13 @ sK57_SY55 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[754]) ).
thf(829,plain,
( ( ( ~ ( rel_s4 @ sK20_SY13 @ sK75_SY56 ) )
= $false )
| ( ( q @ sK57_SY55 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(830,plain,
( ( ( r @ sK75_SY56 )
= $false )
| ( ( q @ sK57_SY55 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(831,plain,
! [SV42: $i] :
( ( ( rel_s4 @ sK32_SY13 @ SV42 )
= $false )
| ( ( p @ SV42 )
= $true )
| ( ( ! [SY128: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY128 )
| ( q @ SY128 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(832,plain,
! [SV43: $i] :
( ( ( rel_s4 @ sK32_SY13 @ SV43 )
= $false )
| ( ( p @ SV43 )
= $true )
| ( ( ! [SY130: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY130 )
| ( r @ SY130 ) ) )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(833,plain,
( ( ( ! [SY133: $i] :
( ~ ( rel_s4 @ sK32_SY13 @ SY133 )
| ( r @ SY133 ) ) )
= $false )
| ( ( rel_s4 @ sK32_SY13 @ sK68_SY132 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(834,plain,
( ( ( ~ ( rel_s4 @ sK32_SY13 @ sK89_SY133 )
| ( r @ sK89_SY133 ) )
= $false )
| ( ( q @ sK68_SY132 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[759]) ).
thf(835,plain,
! [SV22: $i,SV58: $i] :
( ( ( ~ ( rel_s4 @ sK21_SY13 @ SV58 )
| ( q @ SV58 ) )
= $true )
| ( ( p @ SV22 )
= $true )
| ( ( rel_s4 @ sK21_SY13 @ SV22 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(836,plain,
! [SV23: $i,SV59: $i] :
( ( ( ~ ( rel_s4 @ sK21_SY13 @ SV59 )
| ( r @ SV59 ) )
= $true )
| ( ( p @ SV23 )
= $true )
| ( ( rel_s4 @ sK21_SY13 @ SV23 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(837,plain,
( ( ( ~ ( rel_s4 @ sK21_SY13 @ sK90_SY63 )
| ( r @ sK90_SY63 ) )
= $false )
| ( ( rel_s4 @ sK21_SY13 @ sK58_SY62 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[762]) ).
thf(838,plain,
( ( ( ~ ( rel_s4 @ sK21_SY13 @ sK76_SY63 ) )
= $false )
| ( ( q @ sK58_SY62 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[763]) ).
thf(839,plain,
( ( ( r @ sK76_SY63 )
= $false )
| ( ( q @ sK58_SY62 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[763]) ).
thf(840,plain,
! [SV24: $i,SV60: $i,SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV60 )
| ( q @ SV60 ) )
= $true )
| ( ( p @ SV24 )
= $true )
| ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV24 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[764]) ).
thf(841,plain,
! [SV25: $i,SV61: $i,SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV61 )
| ( r @ SV61 ) )
= $true )
| ( ( p @ SV25 )
= $true )
| ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(842,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK91_SY70 @ SV9 @ SV10 ) )
| ( r @ ( sK91_SY70 @ SV9 @ SV10 ) ) )
= $false )
| ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK59_SY69 @ SV9 @ SV10 ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[766]) ).
thf(843,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK77_SY70 @ SV9 @ SV10 ) ) )
= $false )
| ( ( q @ ( sK59_SY69 @ SV9 @ SV10 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(844,plain,
! [SV10: $i,SV9: $i] :
( ( ( r @ ( sK77_SY70 @ SV9 @ SV10 ) )
= $false )
| ( ( q @ ( sK59_SY69 @ SV9 @ SV10 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(845,plain,
! [SV26: $i,SV62: $i,SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV62 )
| ( q @ SV62 ) )
= $true )
| ( ( p @ SV26 )
= $true )
| ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(846,plain,
! [SV27: $i,SV63: $i,SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV63 )
| ( r @ SV63 ) )
= $true )
| ( ( p @ SV27 )
= $true )
| ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV27 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(847,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK92_SY77 @ SV9 @ SV11 ) )
| ( r @ ( sK92_SY77 @ SV9 @ SV11 ) ) )
= $false )
| ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK60_SY76 @ SV9 @ SV11 ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[770]) ).
thf(848,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK78_SY77 @ SV9 @ SV11 ) ) )
= $false )
| ( ( q @ ( sK60_SY76 @ SV9 @ SV11 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(849,plain,
! [SV11: $i,SV9: $i] :
( ( ( r @ ( sK78_SY77 @ SV9 @ SV11 ) )
= $false )
| ( ( q @ ( sK60_SY76 @ SV9 @ SV11 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(850,plain,
! [SV44: $i] :
( ( ( rel_s4 @ sK33_SY13 @ SV44 )
= $false )
| ( ( p @ SV44 )
= $true )
| ( ( ! [SY135: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY135 )
| ( q @ SY135 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(851,plain,
! [SV45: $i] :
( ( ( rel_s4 @ sK33_SY13 @ SV45 )
= $false )
| ( ( p @ SV45 )
= $true )
| ( ( ! [SY137: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY137 )
| ( r @ SY137 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(852,plain,
( ( ( ! [SY140: $i] :
( ~ ( rel_s4 @ sK33_SY13 @ SY140 )
| ( r @ SY140 ) ) )
= $false )
| ( ( rel_s4 @ sK33_SY13 @ sK69_SY139 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(853,plain,
( ( ( ~ ( rel_s4 @ sK33_SY13 @ sK93_SY140 )
| ( r @ sK93_SY140 ) )
= $false )
| ( ( q @ sK69_SY139 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[775]) ).
thf(854,plain,
! [SV28: $i,SV64: $i] :
( ( ( ~ ( rel_s4 @ sK25_SY13 @ SV64 )
| ( q @ SV64 ) )
= $true )
| ( ( p @ SV28 )
= $true )
| ( ( rel_s4 @ sK25_SY13 @ SV28 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(855,plain,
! [SV29: $i,SV65: $i] :
( ( ( ~ ( rel_s4 @ sK25_SY13 @ SV65 )
| ( r @ SV65 ) )
= $true )
| ( ( p @ SV29 )
= $true )
| ( ( rel_s4 @ sK25_SY13 @ SV29 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(856,plain,
( ( ( ~ ( rel_s4 @ sK25_SY13 @ sK94_SY84 )
| ( r @ sK94_SY84 ) )
= $false )
| ( ( rel_s4 @ sK25_SY13 @ sK61_SY83 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[778]) ).
thf(857,plain,
( ( ( ~ ( rel_s4 @ sK25_SY13 @ sK79_SY84 ) )
= $false )
| ( ( q @ sK61_SY83 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[779]) ).
thf(858,plain,
( ( ( r @ sK79_SY84 )
= $false )
| ( ( q @ sK61_SY83 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[779]) ).
thf(859,plain,
! [SV46: $i] :
( ( ( rel_s4 @ sK34_SY13 @ SV46 )
= $false )
| ( ( p @ SV46 )
= $true )
| ( ( ! [SY142: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY142 )
| ( q @ SY142 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(860,plain,
! [SV47: $i] :
( ( ( rel_s4 @ sK34_SY13 @ SV47 )
= $false )
| ( ( p @ SV47 )
= $true )
| ( ( ! [SY144: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY144 )
| ( r @ SY144 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(861,plain,
( ( ( ! [SY147: $i] :
( ~ ( rel_s4 @ sK34_SY13 @ SY147 )
| ( r @ SY147 ) ) )
= $false )
| ( ( rel_s4 @ sK34_SY13 @ sK70_SY146 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(862,plain,
( ( ( ~ ( rel_s4 @ sK34_SY13 @ sK95_SY147 )
| ( r @ sK95_SY147 ) )
= $false )
| ( ( q @ sK70_SY146 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[783]) ).
thf(863,plain,
! [SV30: $i,SV66: $i] :
( ( ( ~ ( rel_s4 @ sK26_SY13 @ SV66 )
| ( q @ SV66 ) )
= $true )
| ( ( p @ SV30 )
= $true )
| ( ( rel_s4 @ sK26_SY13 @ SV30 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(864,plain,
! [SV31: $i,SV67: $i] :
( ( ( ~ ( rel_s4 @ sK26_SY13 @ SV67 )
| ( r @ SV67 ) )
= $true )
| ( ( p @ SV31 )
= $true )
| ( ( rel_s4 @ sK26_SY13 @ SV31 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(865,plain,
( ( ( ~ ( rel_s4 @ sK26_SY13 @ sK96_SY91 )
| ( r @ sK96_SY91 ) )
= $false )
| ( ( rel_s4 @ sK26_SY13 @ sK62_SY90 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[786]) ).
thf(866,plain,
( ( ( ~ ( rel_s4 @ sK26_SY13 @ sK80_SY91 ) )
= $false )
| ( ( q @ sK62_SY90 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[787]) ).
thf(867,plain,
( ( ( r @ sK80_SY91 )
= $false )
| ( ( q @ sK62_SY90 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[787]) ).
thf(868,plain,
! [SV32: $i,SV68: $i] :
( ( ( ~ ( rel_s4 @ sK27_SY13 @ SV68 )
| ( q @ SV68 ) )
= $true )
| ( ( p @ SV32 )
= $true )
| ( ( rel_s4 @ sK27_SY13 @ SV32 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(869,plain,
! [SV33: $i,SV69: $i] :
( ( ( ~ ( rel_s4 @ sK27_SY13 @ SV69 )
| ( r @ SV69 ) )
= $true )
| ( ( p @ SV33 )
= $true )
| ( ( rel_s4 @ sK27_SY13 @ SV33 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(870,plain,
( ( ( ~ ( rel_s4 @ sK27_SY13 @ sK97_SY98 )
| ( r @ sK97_SY98 ) )
= $false )
| ( ( rel_s4 @ sK27_SY13 @ sK63_SY97 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[790]) ).
thf(871,plain,
( ( ( ~ ( rel_s4 @ sK27_SY13 @ sK81_SY98 ) )
= $false )
| ( ( q @ sK63_SY97 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[791]) ).
thf(872,plain,
( ( ( r @ sK81_SY98 )
= $false )
| ( ( q @ sK63_SY97 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[791]) ).
thf(873,plain,
! [SV16: $i,SV52: $i] :
( ( ( ~ ( rel_s4 @ sK18_SY13 @ SV52 ) )
= $true )
| ( ( q @ SV52 )
= $true )
| ( ( p @ SV16 )
= $true )
| ( ( rel_s4 @ sK18_SY13 @ SV16 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(874,plain,
! [SV17: $i,SV53: $i] :
( ( ( ~ ( rel_s4 @ sK18_SY13 @ SV53 ) )
= $true )
| ( ( r @ SV53 )
= $true )
| ( ( p @ SV17 )
= $true )
| ( ( rel_s4 @ sK18_SY13 @ SV17 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[793]) ).
thf(875,plain,
( ( ( ~ ( rel_s4 @ sK18_SY13 @ sK82_SY42 ) )
= $false )
| ( ( rel_s4 @ sK18_SY13 @ sK55_SY41 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[794]) ).
thf(876,plain,
( ( ( r @ sK82_SY42 )
= $false )
| ( ( rel_s4 @ sK18_SY13 @ sK55_SY41 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[794]) ).
thf(877,plain,
( ( ( rel_s4 @ sK18_SY13 @ sK73_SY42 )
= $true )
| ( ( q @ sK55_SY41 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(878,plain,
! [SV34: $i,SV70: $i] :
( ( ( ~ ( rel_s4 @ sK28_SY13 @ SV70 )
| ( q @ SV70 ) )
= $true )
| ( ( p @ SV34 )
= $true )
| ( ( rel_s4 @ sK28_SY13 @ SV34 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(879,plain,
! [SV35: $i,SV71: $i] :
( ( ( ~ ( rel_s4 @ sK28_SY13 @ SV71 )
| ( r @ SV71 ) )
= $true )
| ( ( p @ SV35 )
= $true )
| ( ( rel_s4 @ sK28_SY13 @ SV35 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(880,plain,
( ( ( ~ ( rel_s4 @ sK28_SY13 @ sK98_SY105 )
| ( r @ sK98_SY105 ) )
= $false )
| ( ( rel_s4 @ sK28_SY13 @ sK64_SY104 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[799]) ).
thf(881,plain,
( ( ( ~ ( rel_s4 @ sK28_SY13 @ sK83_SY105 ) )
= $false )
| ( ( q @ sK64_SY104 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[800]) ).
thf(882,plain,
( ( ( r @ sK83_SY105 )
= $false )
| ( ( q @ sK64_SY104 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[800]) ).
thf(883,plain,
! [SV18: $i,SV54: $i] :
( ( ( ~ ( rel_s4 @ sK19_SY13 @ SV54 ) )
= $true )
| ( ( q @ SV54 )
= $true )
| ( ( p @ SV18 )
= $true )
| ( ( rel_s4 @ sK19_SY13 @ SV18 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[801]) ).
thf(884,plain,
! [SV19: $i,SV55: $i] :
( ( ( ~ ( rel_s4 @ sK19_SY13 @ SV55 ) )
= $true )
| ( ( r @ SV55 )
= $true )
| ( ( p @ SV19 )
= $true )
| ( ( rel_s4 @ sK19_SY13 @ SV19 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[802]) ).
thf(885,plain,
( ( ( ~ ( rel_s4 @ sK19_SY13 @ sK84_SY49 ) )
= $false )
| ( ( rel_s4 @ sK19_SY13 @ sK56_SY48 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[803]) ).
thf(886,plain,
( ( ( r @ sK84_SY49 )
= $false )
| ( ( rel_s4 @ sK19_SY13 @ sK56_SY48 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[803]) ).
thf(887,plain,
( ( ( rel_s4 @ sK19_SY13 @ sK74_SY49 )
= $true )
| ( ( q @ sK56_SY48 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[804]) ).
thf(888,plain,
! [SV48: $i] :
( ( ( rel_s4 @ sK35_SY13 @ SV48 )
= $false )
| ( ( p @ SV48 )
= $true )
| ( ( ! [SY149: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY149 )
| ( q @ SY149 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(889,plain,
! [SV49: $i] :
( ( ( rel_s4 @ sK35_SY13 @ SV49 )
= $false )
| ( ( p @ SV49 )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY151 )
| ( r @ SY151 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(890,plain,
( ( ( ! [SY154: $i] :
( ~ ( rel_s4 @ sK35_SY13 @ SY154 )
| ( r @ SY154 ) ) )
= $false )
| ( ( rel_s4 @ sK35_SY13 @ sK71_SY153 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(891,plain,
( ( ( ~ ( rel_s4 @ sK35_SY13 @ sK99_SY154 )
| ( r @ sK99_SY154 ) )
= $false )
| ( ( q @ sK71_SY153 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[809]) ).
thf(892,plain,
! [SV36: $i,SV72: $i] :
( ( ( ~ ( rel_s4 @ sK29_SY13 @ SV72 )
| ( q @ SV72 ) )
= $true )
| ( ( p @ SV36 )
= $true )
| ( ( rel_s4 @ sK29_SY13 @ SV36 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[810]) ).
thf(893,plain,
! [SV37: $i,SV73: $i] :
( ( ( ~ ( rel_s4 @ sK29_SY13 @ SV73 )
| ( r @ SV73 ) )
= $true )
| ( ( p @ SV37 )
= $true )
| ( ( rel_s4 @ sK29_SY13 @ SV37 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(894,plain,
( ( ( ~ ( rel_s4 @ sK29_SY13 @ sK100_SY112 )
| ( r @ sK100_SY112 ) )
= $false )
| ( ( rel_s4 @ sK29_SY13 @ sK65_SY111 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[812]) ).
thf(895,plain,
( ( ( ~ ( rel_s4 @ sK29_SY13 @ sK85_SY112 ) )
= $false )
| ( ( q @ sK65_SY111 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[813]) ).
thf(896,plain,
( ( ( r @ sK85_SY112 )
= $false )
| ( ( q @ sK65_SY111 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[813]) ).
thf(897,plain,
! [SV50: $i] :
( ( ( rel_s4 @ sK36_SY13 @ SV50 )
= $false )
| ( ( p @ SV50 )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY156 )
| ( q @ SY156 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(898,plain,
! [SV51: $i] :
( ( ( rel_s4 @ sK36_SY13 @ SV51 )
= $false )
| ( ( p @ SV51 )
= $true )
| ( ( ! [SY158: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY158 )
| ( r @ SY158 ) ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(899,plain,
( ( ( ! [SY161: $i] :
( ~ ( rel_s4 @ sK36_SY13 @ SY161 )
| ( r @ SY161 ) ) )
= $false )
| ( ( rel_s4 @ sK36_SY13 @ sK72_SY160 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(900,plain,
( ( ( ~ ( rel_s4 @ sK36_SY13 @ sK101_SY161 )
| ( r @ sK101_SY161 ) )
= $false )
| ( ( q @ sK72_SY160 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[817]) ).
thf(901,plain,
! [SV38: $i,SV74: $i] :
( ( ( ~ ( rel_s4 @ sK30_SY13 @ SV74 )
| ( q @ SV74 ) )
= $true )
| ( ( p @ SV38 )
= $true )
| ( ( rel_s4 @ sK30_SY13 @ SV38 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(902,plain,
! [SV39: $i,SV75: $i] :
( ( ( ~ ( rel_s4 @ sK30_SY13 @ SV75 )
| ( r @ SV75 ) )
= $true )
| ( ( p @ SV39 )
= $true )
| ( ( rel_s4 @ sK30_SY13 @ SV39 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(903,plain,
( ( ( ~ ( rel_s4 @ sK30_SY13 @ sK102_SY119 )
| ( r @ sK102_SY119 ) )
= $false )
| ( ( rel_s4 @ sK30_SY13 @ sK66_SY118 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[820]) ).
thf(904,plain,
( ( ( ~ ( rel_s4 @ sK30_SY13 @ sK86_SY119 ) )
= $false )
| ( ( q @ sK66_SY118 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[821]) ).
thf(905,plain,
( ( ( r @ sK86_SY119 )
= $false )
| ( ( q @ sK66_SY118 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[821]) ).
thf(906,plain,
! [SV40: $i,SV76: $i] :
( ( ( ~ ( rel_s4 @ sK31_SY13 @ SV76 )
| ( q @ SV76 ) )
= $true )
| ( ( p @ SV40 )
= $true )
| ( ( rel_s4 @ sK31_SY13 @ SV40 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[822]) ).
thf(907,plain,
! [SV41: $i,SV77: $i] :
( ( ( ~ ( rel_s4 @ sK31_SY13 @ SV77 )
| ( r @ SV77 ) )
= $true )
| ( ( p @ SV41 )
= $true )
| ( ( rel_s4 @ sK31_SY13 @ SV41 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(908,plain,
( ( ( ~ ( rel_s4 @ sK31_SY13 @ sK103_SY126 )
| ( r @ sK103_SY126 ) )
= $false )
| ( ( rel_s4 @ sK31_SY13 @ sK67_SY125 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[824]) ).
thf(909,plain,
( ( ( ~ ( rel_s4 @ sK31_SY13 @ sK87_SY126 ) )
= $false )
| ( ( q @ sK67_SY125 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(910,plain,
( ( ( r @ sK87_SY126 )
= $false )
| ( ( q @ sK67_SY125 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(911,plain,
! [SV20: $i,SV56: $i] :
( ( ( ~ ( rel_s4 @ sK20_SY13 @ SV56 ) )
= $true )
| ( ( q @ SV56 )
= $true )
| ( ( p @ SV20 )
= $true )
| ( ( rel_s4 @ sK20_SY13 @ SV20 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(912,plain,
! [SV21: $i,SV57: $i] :
( ( ( ~ ( rel_s4 @ sK20_SY13 @ SV57 ) )
= $true )
| ( ( r @ SV57 )
= $true )
| ( ( p @ SV21 )
= $true )
| ( ( rel_s4 @ sK20_SY13 @ SV21 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(913,plain,
( ( ( ~ ( rel_s4 @ sK20_SY13 @ sK88_SY56 ) )
= $false )
| ( ( rel_s4 @ sK20_SY13 @ sK57_SY55 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[828]) ).
thf(914,plain,
( ( ( r @ sK88_SY56 )
= $false )
| ( ( rel_s4 @ sK20_SY13 @ sK57_SY55 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[828]) ).
thf(915,plain,
( ( ( rel_s4 @ sK20_SY13 @ sK75_SY56 )
= $true )
| ( ( q @ sK57_SY55 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[829]) ).
thf(916,plain,
! [SV42: $i,SV78: $i] :
( ( ( ~ ( rel_s4 @ sK32_SY13 @ SV78 )
| ( q @ SV78 ) )
= $true )
| ( ( p @ SV42 )
= $true )
| ( ( rel_s4 @ sK32_SY13 @ SV42 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(917,plain,
! [SV43: $i,SV79: $i] :
( ( ( ~ ( rel_s4 @ sK32_SY13 @ SV79 )
| ( r @ SV79 ) )
= $true )
| ( ( p @ SV43 )
= $true )
| ( ( rel_s4 @ sK32_SY13 @ SV43 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(918,plain,
( ( ( ~ ( rel_s4 @ sK32_SY13 @ sK104_SY133 )
| ( r @ sK104_SY133 ) )
= $false )
| ( ( rel_s4 @ sK32_SY13 @ sK68_SY132 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[833]) ).
thf(919,plain,
( ( ( ~ ( rel_s4 @ sK32_SY13 @ sK89_SY133 ) )
= $false )
| ( ( q @ sK68_SY132 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[834]) ).
thf(920,plain,
( ( ( r @ sK89_SY133 )
= $false )
| ( ( q @ sK68_SY132 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[834]) ).
thf(921,plain,
! [SV22: $i,SV58: $i] :
( ( ( ~ ( rel_s4 @ sK21_SY13 @ SV58 ) )
= $true )
| ( ( q @ SV58 )
= $true )
| ( ( p @ SV22 )
= $true )
| ( ( rel_s4 @ sK21_SY13 @ SV22 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[835]) ).
thf(922,plain,
! [SV23: $i,SV59: $i] :
( ( ( ~ ( rel_s4 @ sK21_SY13 @ SV59 ) )
= $true )
| ( ( r @ SV59 )
= $true )
| ( ( p @ SV23 )
= $true )
| ( ( rel_s4 @ sK21_SY13 @ SV23 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[836]) ).
thf(923,plain,
( ( ( ~ ( rel_s4 @ sK21_SY13 @ sK90_SY63 ) )
= $false )
| ( ( rel_s4 @ sK21_SY13 @ sK58_SY62 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[837]) ).
thf(924,plain,
( ( ( r @ sK90_SY63 )
= $false )
| ( ( rel_s4 @ sK21_SY13 @ sK58_SY62 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[837]) ).
thf(925,plain,
( ( ( rel_s4 @ sK21_SY13 @ sK76_SY63 )
= $true )
| ( ( q @ sK58_SY62 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[838]) ).
thf(926,plain,
! [SV24: $i,SV60: $i,SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV60 ) )
= $true )
| ( ( q @ SV60 )
= $true )
| ( ( p @ SV24 )
= $true )
| ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV24 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(927,plain,
! [SV25: $i,SV61: $i,SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV61 ) )
= $true )
| ( ( r @ SV61 )
= $true )
| ( ( p @ SV25 )
= $true )
| ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(928,plain,
! [SV9: $i,SV10: $i] :
( ( ( ~ ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK91_SY70 @ SV9 @ SV10 ) ) )
= $false )
| ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK59_SY69 @ SV9 @ SV10 ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[842]) ).
thf(929,plain,
! [SV10: $i,SV9: $i] :
( ( ( r @ ( sK91_SY70 @ SV9 @ SV10 ) )
= $false )
| ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK59_SY69 @ SV9 @ SV10 ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[842]) ).
thf(930,plain,
! [SV9: $i,SV10: $i] :
( ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK77_SY70 @ SV9 @ SV10 ) )
= $true )
| ( ( q @ ( sK59_SY69 @ SV9 @ SV10 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(931,plain,
! [SV26: $i,SV62: $i,SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV62 ) )
= $true )
| ( ( q @ SV62 )
= $true )
| ( ( p @ SV26 )
= $true )
| ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(932,plain,
! [SV27: $i,SV63: $i,SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV63 ) )
= $true )
| ( ( r @ SV63 )
= $true )
| ( ( p @ SV27 )
= $true )
| ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV27 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(933,plain,
! [SV9: $i,SV11: $i] :
( ( ( ~ ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK92_SY77 @ SV9 @ SV11 ) ) )
= $false )
| ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK60_SY76 @ SV9 @ SV11 ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[847]) ).
thf(934,plain,
! [SV11: $i,SV9: $i] :
( ( ( r @ ( sK92_SY77 @ SV9 @ SV11 ) )
= $false )
| ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK60_SY76 @ SV9 @ SV11 ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[847]) ).
thf(935,plain,
! [SV9: $i,SV11: $i] :
( ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK78_SY77 @ SV9 @ SV11 ) )
= $true )
| ( ( q @ ( sK60_SY76 @ SV9 @ SV11 ) )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[848]) ).
thf(936,plain,
! [SV44: $i,SV80: $i] :
( ( ( ~ ( rel_s4 @ sK33_SY13 @ SV80 )
| ( q @ SV80 ) )
= $true )
| ( ( p @ SV44 )
= $true )
| ( ( rel_s4 @ sK33_SY13 @ SV44 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(937,plain,
! [SV45: $i,SV81: $i] :
( ( ( ~ ( rel_s4 @ sK33_SY13 @ SV81 )
| ( r @ SV81 ) )
= $true )
| ( ( p @ SV45 )
= $true )
| ( ( rel_s4 @ sK33_SY13 @ SV45 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(938,plain,
( ( ( ~ ( rel_s4 @ sK33_SY13 @ sK105_SY140 )
| ( r @ sK105_SY140 ) )
= $false )
| ( ( rel_s4 @ sK33_SY13 @ sK69_SY139 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[852]) ).
thf(939,plain,
( ( ( ~ ( rel_s4 @ sK33_SY13 @ sK93_SY140 ) )
= $false )
| ( ( q @ sK69_SY139 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(940,plain,
( ( ( r @ sK93_SY140 )
= $false )
| ( ( q @ sK69_SY139 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(941,plain,
! [SV28: $i,SV64: $i] :
( ( ( ~ ( rel_s4 @ sK25_SY13 @ SV64 ) )
= $true )
| ( ( q @ SV64 )
= $true )
| ( ( p @ SV28 )
= $true )
| ( ( rel_s4 @ sK25_SY13 @ SV28 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(942,plain,
! [SV29: $i,SV65: $i] :
( ( ( ~ ( rel_s4 @ sK25_SY13 @ SV65 ) )
= $true )
| ( ( r @ SV65 )
= $true )
| ( ( p @ SV29 )
= $true )
| ( ( rel_s4 @ sK25_SY13 @ SV29 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(943,plain,
( ( ( ~ ( rel_s4 @ sK25_SY13 @ sK94_SY84 ) )
= $false )
| ( ( rel_s4 @ sK25_SY13 @ sK61_SY83 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[856]) ).
thf(944,plain,
( ( ( r @ sK94_SY84 )
= $false )
| ( ( rel_s4 @ sK25_SY13 @ sK61_SY83 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[856]) ).
thf(945,plain,
( ( ( rel_s4 @ sK25_SY13 @ sK79_SY84 )
= $true )
| ( ( q @ sK61_SY83 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[857]) ).
thf(946,plain,
! [SV46: $i,SV82: $i] :
( ( ( ~ ( rel_s4 @ sK34_SY13 @ SV82 )
| ( q @ SV82 ) )
= $true )
| ( ( p @ SV46 )
= $true )
| ( ( rel_s4 @ sK34_SY13 @ SV46 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(947,plain,
! [SV47: $i,SV83: $i] :
( ( ( ~ ( rel_s4 @ sK34_SY13 @ SV83 )
| ( r @ SV83 ) )
= $true )
| ( ( p @ SV47 )
= $true )
| ( ( rel_s4 @ sK34_SY13 @ SV47 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(948,plain,
( ( ( ~ ( rel_s4 @ sK34_SY13 @ sK106_SY147 )
| ( r @ sK106_SY147 ) )
= $false )
| ( ( rel_s4 @ sK34_SY13 @ sK70_SY146 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[861]) ).
thf(949,plain,
( ( ( ~ ( rel_s4 @ sK34_SY13 @ sK95_SY147 ) )
= $false )
| ( ( q @ sK70_SY146 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(950,plain,
( ( ( r @ sK95_SY147 )
= $false )
| ( ( q @ sK70_SY146 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(951,plain,
! [SV30: $i,SV66: $i] :
( ( ( ~ ( rel_s4 @ sK26_SY13 @ SV66 ) )
= $true )
| ( ( q @ SV66 )
= $true )
| ( ( p @ SV30 )
= $true )
| ( ( rel_s4 @ sK26_SY13 @ SV30 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[863]) ).
thf(952,plain,
! [SV31: $i,SV67: $i] :
( ( ( ~ ( rel_s4 @ sK26_SY13 @ SV67 ) )
= $true )
| ( ( r @ SV67 )
= $true )
| ( ( p @ SV31 )
= $true )
| ( ( rel_s4 @ sK26_SY13 @ SV31 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[864]) ).
thf(953,plain,
( ( ( ~ ( rel_s4 @ sK26_SY13 @ sK96_SY91 ) )
= $false )
| ( ( rel_s4 @ sK26_SY13 @ sK62_SY90 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(954,plain,
( ( ( r @ sK96_SY91 )
= $false )
| ( ( rel_s4 @ sK26_SY13 @ sK62_SY90 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(955,plain,
( ( ( rel_s4 @ sK26_SY13 @ sK80_SY91 )
= $true )
| ( ( q @ sK62_SY90 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[866]) ).
thf(956,plain,
! [SV32: $i,SV68: $i] :
( ( ( ~ ( rel_s4 @ sK27_SY13 @ SV68 ) )
= $true )
| ( ( q @ SV68 )
= $true )
| ( ( p @ SV32 )
= $true )
| ( ( rel_s4 @ sK27_SY13 @ SV32 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(957,plain,
! [SV33: $i,SV69: $i] :
( ( ( ~ ( rel_s4 @ sK27_SY13 @ SV69 ) )
= $true )
| ( ( r @ SV69 )
= $true )
| ( ( p @ SV33 )
= $true )
| ( ( rel_s4 @ sK27_SY13 @ SV33 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[869]) ).
thf(958,plain,
( ( ( ~ ( rel_s4 @ sK27_SY13 @ sK97_SY98 ) )
= $false )
| ( ( rel_s4 @ sK27_SY13 @ sK63_SY97 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[870]) ).
thf(959,plain,
( ( ( r @ sK97_SY98 )
= $false )
| ( ( rel_s4 @ sK27_SY13 @ sK63_SY97 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[870]) ).
thf(960,plain,
( ( ( rel_s4 @ sK27_SY13 @ sK81_SY98 )
= $true )
| ( ( q @ sK63_SY97 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[871]) ).
thf(961,plain,
! [SV16: $i,SV52: $i] :
( ( ( rel_s4 @ sK18_SY13 @ SV52 )
= $false )
| ( ( q @ SV52 )
= $true )
| ( ( p @ SV16 )
= $true )
| ( ( rel_s4 @ sK18_SY13 @ SV16 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(962,plain,
! [SV17: $i,SV53: $i] :
( ( ( rel_s4 @ sK18_SY13 @ SV53 )
= $false )
| ( ( r @ SV53 )
= $true )
| ( ( p @ SV17 )
= $true )
| ( ( rel_s4 @ sK18_SY13 @ SV17 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(963,plain,
( ( ( rel_s4 @ sK18_SY13 @ sK82_SY42 )
= $true )
| ( ( rel_s4 @ sK18_SY13 @ sK55_SY41 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( p @ sK9_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[875]) ).
thf(964,plain,
! [SV34: $i,SV70: $i] :
( ( ( ~ ( rel_s4 @ sK28_SY13 @ SV70 ) )
= $true )
| ( ( q @ SV70 )
= $true )
| ( ( p @ SV34 )
= $true )
| ( ( rel_s4 @ sK28_SY13 @ SV34 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(965,plain,
! [SV35: $i,SV71: $i] :
( ( ( ~ ( rel_s4 @ sK28_SY13 @ SV71 ) )
= $true )
| ( ( r @ SV71 )
= $true )
| ( ( p @ SV35 )
= $true )
| ( ( rel_s4 @ sK28_SY13 @ SV35 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[879]) ).
thf(966,plain,
( ( ( ~ ( rel_s4 @ sK28_SY13 @ sK98_SY105 ) )
= $false )
| ( ( rel_s4 @ sK28_SY13 @ sK64_SY104 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(967,plain,
( ( ( r @ sK98_SY105 )
= $false )
| ( ( rel_s4 @ sK28_SY13 @ sK64_SY104 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(968,plain,
( ( ( rel_s4 @ sK28_SY13 @ sK83_SY105 )
= $true )
| ( ( q @ sK64_SY104 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[881]) ).
thf(969,plain,
! [SV18: $i,SV54: $i] :
( ( ( rel_s4 @ sK19_SY13 @ SV54 )
= $false )
| ( ( q @ SV54 )
= $true )
| ( ( p @ SV18 )
= $true )
| ( ( rel_s4 @ sK19_SY13 @ SV18 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(970,plain,
! [SV19: $i,SV55: $i] :
( ( ( rel_s4 @ sK19_SY13 @ SV55 )
= $false )
| ( ( r @ SV55 )
= $true )
| ( ( p @ SV19 )
= $true )
| ( ( rel_s4 @ sK19_SY13 @ SV19 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(971,plain,
( ( ( rel_s4 @ sK19_SY13 @ sK84_SY49 )
= $true )
| ( ( rel_s4 @ sK19_SY13 @ sK56_SY48 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( r @ sK10_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[885]) ).
thf(972,plain,
! [SV48: $i,SV84: $i] :
( ( ( ~ ( rel_s4 @ sK35_SY13 @ SV84 )
| ( q @ SV84 ) )
= $true )
| ( ( p @ SV48 )
= $true )
| ( ( rel_s4 @ sK35_SY13 @ SV48 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(973,plain,
! [SV49: $i,SV85: $i] :
( ( ( ~ ( rel_s4 @ sK35_SY13 @ SV85 )
| ( r @ SV85 ) )
= $true )
| ( ( p @ SV49 )
= $true )
| ( ( rel_s4 @ sK35_SY13 @ SV49 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(974,plain,
( ( ( ~ ( rel_s4 @ sK35_SY13 @ sK107_SY154 )
| ( r @ sK107_SY154 ) )
= $false )
| ( ( rel_s4 @ sK35_SY13 @ sK71_SY153 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[890]) ).
thf(975,plain,
( ( ( ~ ( rel_s4 @ sK35_SY13 @ sK99_SY154 ) )
= $false )
| ( ( q @ sK71_SY153 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(976,plain,
( ( ( r @ sK99_SY154 )
= $false )
| ( ( q @ sK71_SY153 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(977,plain,
! [SV36: $i,SV72: $i] :
( ( ( ~ ( rel_s4 @ sK29_SY13 @ SV72 ) )
= $true )
| ( ( q @ SV72 )
= $true )
| ( ( p @ SV36 )
= $true )
| ( ( rel_s4 @ sK29_SY13 @ SV36 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(978,plain,
! [SV37: $i,SV73: $i] :
( ( ( ~ ( rel_s4 @ sK29_SY13 @ SV73 ) )
= $true )
| ( ( r @ SV73 )
= $true )
| ( ( p @ SV37 )
= $true )
| ( ( rel_s4 @ sK29_SY13 @ SV37 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[893]) ).
thf(979,plain,
( ( ( ~ ( rel_s4 @ sK29_SY13 @ sK100_SY112 ) )
= $false )
| ( ( rel_s4 @ sK29_SY13 @ sK65_SY111 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[894]) ).
thf(980,plain,
( ( ( r @ sK100_SY112 )
= $false )
| ( ( rel_s4 @ sK29_SY13 @ sK65_SY111 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[894]) ).
thf(981,plain,
( ( ( rel_s4 @ sK29_SY13 @ sK85_SY112 )
= $true )
| ( ( q @ sK65_SY111 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[895]) ).
thf(982,plain,
! [SV50: $i,SV86: $i] :
( ( ( ~ ( rel_s4 @ sK36_SY13 @ SV86 )
| ( q @ SV86 ) )
= $true )
| ( ( p @ SV50 )
= $true )
| ( ( rel_s4 @ sK36_SY13 @ SV50 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(983,plain,
! [SV51: $i,SV87: $i] :
( ( ( ~ ( rel_s4 @ sK36_SY13 @ SV87 )
| ( r @ SV87 ) )
= $true )
| ( ( p @ SV51 )
= $true )
| ( ( rel_s4 @ sK36_SY13 @ SV51 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(984,plain,
( ( ( ~ ( rel_s4 @ sK36_SY13 @ sK108_SY161 )
| ( r @ sK108_SY161 ) )
= $false )
| ( ( rel_s4 @ sK36_SY13 @ sK72_SY160 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[899]) ).
thf(985,plain,
( ( ( ~ ( rel_s4 @ sK36_SY13 @ sK101_SY161 ) )
= $false )
| ( ( q @ sK72_SY160 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[900]) ).
thf(986,plain,
( ( ( r @ sK101_SY161 )
= $false )
| ( ( q @ sK72_SY160 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[900]) ).
thf(987,plain,
! [SV38: $i,SV74: $i] :
( ( ( ~ ( rel_s4 @ sK30_SY13 @ SV74 ) )
= $true )
| ( ( q @ SV74 )
= $true )
| ( ( p @ SV38 )
= $true )
| ( ( rel_s4 @ sK30_SY13 @ SV38 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[901]) ).
thf(988,plain,
! [SV39: $i,SV75: $i] :
( ( ( ~ ( rel_s4 @ sK30_SY13 @ SV75 ) )
= $true )
| ( ( r @ SV75 )
= $true )
| ( ( p @ SV39 )
= $true )
| ( ( rel_s4 @ sK30_SY13 @ SV39 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[902]) ).
thf(989,plain,
( ( ( ~ ( rel_s4 @ sK30_SY13 @ sK102_SY119 ) )
= $false )
| ( ( rel_s4 @ sK30_SY13 @ sK66_SY118 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(990,plain,
( ( ( r @ sK102_SY119 )
= $false )
| ( ( rel_s4 @ sK30_SY13 @ sK66_SY118 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(991,plain,
( ( ( rel_s4 @ sK30_SY13 @ sK86_SY119 )
= $true )
| ( ( q @ sK66_SY118 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[904]) ).
thf(992,plain,
! [SV40: $i,SV76: $i] :
( ( ( ~ ( rel_s4 @ sK31_SY13 @ SV76 ) )
= $true )
| ( ( q @ SV76 )
= $true )
| ( ( p @ SV40 )
= $true )
| ( ( rel_s4 @ sK31_SY13 @ SV40 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(993,plain,
! [SV41: $i,SV77: $i] :
( ( ( ~ ( rel_s4 @ sK31_SY13 @ SV77 ) )
= $true )
| ( ( r @ SV77 )
= $true )
| ( ( p @ SV41 )
= $true )
| ( ( rel_s4 @ sK31_SY13 @ SV41 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(994,plain,
( ( ( ~ ( rel_s4 @ sK31_SY13 @ sK103_SY126 ) )
= $false )
| ( ( rel_s4 @ sK31_SY13 @ sK67_SY125 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[908]) ).
thf(995,plain,
( ( ( r @ sK103_SY126 )
= $false )
| ( ( rel_s4 @ sK31_SY13 @ sK67_SY125 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[908]) ).
thf(996,plain,
( ( ( rel_s4 @ sK31_SY13 @ sK87_SY126 )
= $true )
| ( ( q @ sK67_SY125 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[909]) ).
thf(997,plain,
! [SV20: $i,SV56: $i] :
( ( ( rel_s4 @ sK20_SY13 @ SV56 )
= $false )
| ( ( q @ SV56 )
= $true )
| ( ( p @ SV20 )
= $true )
| ( ( rel_s4 @ sK20_SY13 @ SV20 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(998,plain,
! [SV21: $i,SV57: $i] :
( ( ( rel_s4 @ sK20_SY13 @ SV57 )
= $false )
| ( ( r @ SV57 )
= $true )
| ( ( p @ SV21 )
= $true )
| ( ( rel_s4 @ sK20_SY13 @ SV21 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(999,plain,
( ( ( rel_s4 @ sK20_SY13 @ sK88_SY56 )
= $true )
| ( ( rel_s4 @ sK20_SY13 @ sK57_SY55 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( p @ sK11_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[913]) ).
thf(1000,plain,
! [SV42: $i,SV78: $i] :
( ( ( ~ ( rel_s4 @ sK32_SY13 @ SV78 ) )
= $true )
| ( ( q @ SV78 )
= $true )
| ( ( p @ SV42 )
= $true )
| ( ( rel_s4 @ sK32_SY13 @ SV42 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[916]) ).
thf(1001,plain,
! [SV43: $i,SV79: $i] :
( ( ( ~ ( rel_s4 @ sK32_SY13 @ SV79 ) )
= $true )
| ( ( r @ SV79 )
= $true )
| ( ( p @ SV43 )
= $true )
| ( ( rel_s4 @ sK32_SY13 @ SV43 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[917]) ).
thf(1002,plain,
( ( ( ~ ( rel_s4 @ sK32_SY13 @ sK104_SY133 ) )
= $false )
| ( ( rel_s4 @ sK32_SY13 @ sK68_SY132 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[918]) ).
thf(1003,plain,
( ( ( r @ sK104_SY133 )
= $false )
| ( ( rel_s4 @ sK32_SY13 @ sK68_SY132 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[918]) ).
thf(1004,plain,
( ( ( rel_s4 @ sK32_SY13 @ sK89_SY133 )
= $true )
| ( ( q @ sK68_SY132 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[919]) ).
thf(1005,plain,
! [SV22: $i,SV58: $i] :
( ( ( rel_s4 @ sK21_SY13 @ SV58 )
= $false )
| ( ( q @ SV58 )
= $true )
| ( ( p @ SV22 )
= $true )
| ( ( rel_s4 @ sK21_SY13 @ SV22 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(1006,plain,
! [SV23: $i,SV59: $i] :
( ( ( rel_s4 @ sK21_SY13 @ SV59 )
= $false )
| ( ( r @ SV59 )
= $true )
| ( ( p @ SV23 )
= $true )
| ( ( rel_s4 @ sK21_SY13 @ SV23 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(1007,plain,
( ( ( rel_s4 @ sK21_SY13 @ sK90_SY63 )
= $true )
| ( ( rel_s4 @ sK21_SY13 @ sK58_SY62 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( r @ sK12_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[923]) ).
thf(1008,plain,
! [SV24: $i,SV60: $i,SV9: $i,SV10: $i] :
( ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV60 )
= $false )
| ( ( q @ SV60 )
= $true )
| ( ( p @ SV24 )
= $true )
| ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV24 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(1009,plain,
! [SV25: $i,SV61: $i,SV9: $i,SV10: $i] :
( ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV61 )
= $false )
| ( ( r @ SV61 )
= $true )
| ( ( p @ SV25 )
= $true )
| ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ SV25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[927]) ).
thf(1010,plain,
! [SV9: $i,SV10: $i] :
( ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK91_SY70 @ SV9 @ SV10 ) )
= $true )
| ( ( rel_s4 @ ( sK23_SY13 @ SV10 @ SV9 ) @ ( sK59_SY69 @ SV9 @ SV10 ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( q @ SV10 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[928]) ).
thf(1011,plain,
! [SV26: $i,SV62: $i,SV9: $i,SV11: $i] :
( ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV62 )
= $false )
| ( ( q @ SV62 )
= $true )
| ( ( p @ SV26 )
= $true )
| ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(1012,plain,
! [SV27: $i,SV63: $i,SV9: $i,SV11: $i] :
( ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV63 )
= $false )
| ( ( r @ SV63 )
= $true )
| ( ( p @ SV27 )
= $true )
| ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ SV27 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(1013,plain,
! [SV9: $i,SV11: $i] :
( ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK92_SY77 @ SV9 @ SV11 ) )
= $true )
| ( ( rel_s4 @ ( sK24_SY13 @ SV11 @ SV9 ) @ ( sK60_SY76 @ SV9 @ SV11 ) )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV9 )
= $false )
| ( ( p @ SV9 )
= $true )
| ( ( r @ SV11 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(1014,plain,
! [SV44: $i,SV80: $i] :
( ( ( ~ ( rel_s4 @ sK33_SY13 @ SV80 ) )
= $true )
| ( ( q @ SV80 )
= $true )
| ( ( p @ SV44 )
= $true )
| ( ( rel_s4 @ sK33_SY13 @ SV44 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[936]) ).
thf(1015,plain,
! [SV45: $i,SV81: $i] :
( ( ( ~ ( rel_s4 @ sK33_SY13 @ SV81 ) )
= $true )
| ( ( r @ SV81 )
= $true )
| ( ( p @ SV45 )
= $true )
| ( ( rel_s4 @ sK33_SY13 @ SV45 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[937]) ).
thf(1016,plain,
( ( ( ~ ( rel_s4 @ sK33_SY13 @ sK105_SY140 ) )
= $false )
| ( ( rel_s4 @ sK33_SY13 @ sK69_SY139 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(1017,plain,
( ( ( r @ sK105_SY140 )
= $false )
| ( ( rel_s4 @ sK33_SY13 @ sK69_SY139 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(1018,plain,
( ( ( rel_s4 @ sK33_SY13 @ sK93_SY140 )
= $true )
| ( ( q @ sK69_SY139 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[939]) ).
thf(1019,plain,
! [SV28: $i,SV64: $i] :
( ( ( rel_s4 @ sK25_SY13 @ SV64 )
= $false )
| ( ( q @ SV64 )
= $true )
| ( ( p @ SV28 )
= $true )
| ( ( rel_s4 @ sK25_SY13 @ SV28 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(1020,plain,
! [SV29: $i,SV65: $i] :
( ( ( rel_s4 @ sK25_SY13 @ SV65 )
= $false )
| ( ( r @ SV65 )
= $true )
| ( ( p @ SV29 )
= $true )
| ( ( rel_s4 @ sK25_SY13 @ SV29 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1021,plain,
( ( ( rel_s4 @ sK25_SY13 @ sK94_SY84 )
= $true )
| ( ( rel_s4 @ sK25_SY13 @ sK61_SY83 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( p @ sK13_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[943]) ).
thf(1022,plain,
! [SV46: $i,SV82: $i] :
( ( ( ~ ( rel_s4 @ sK34_SY13 @ SV82 ) )
= $true )
| ( ( q @ SV82 )
= $true )
| ( ( p @ SV46 )
= $true )
| ( ( rel_s4 @ sK34_SY13 @ SV46 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[946]) ).
thf(1023,plain,
! [SV47: $i,SV83: $i] :
( ( ( ~ ( rel_s4 @ sK34_SY13 @ SV83 ) )
= $true )
| ( ( r @ SV83 )
= $true )
| ( ( p @ SV47 )
= $true )
| ( ( rel_s4 @ sK34_SY13 @ SV47 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[947]) ).
thf(1024,plain,
( ( ( ~ ( rel_s4 @ sK34_SY13 @ sK106_SY147 ) )
= $false )
| ( ( rel_s4 @ sK34_SY13 @ sK70_SY146 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(1025,plain,
( ( ( r @ sK106_SY147 )
= $false )
| ( ( rel_s4 @ sK34_SY13 @ sK70_SY146 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(1026,plain,
( ( ( rel_s4 @ sK34_SY13 @ sK95_SY147 )
= $true )
| ( ( q @ sK70_SY146 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[949]) ).
thf(1027,plain,
! [SV30: $i,SV66: $i] :
( ( ( rel_s4 @ sK26_SY13 @ SV66 )
= $false )
| ( ( q @ SV66 )
= $true )
| ( ( p @ SV30 )
= $true )
| ( ( rel_s4 @ sK26_SY13 @ SV30 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[951]) ).
thf(1028,plain,
! [SV31: $i,SV67: $i] :
( ( ( rel_s4 @ sK26_SY13 @ SV67 )
= $false )
| ( ( r @ SV67 )
= $true )
| ( ( p @ SV31 )
= $true )
| ( ( rel_s4 @ sK26_SY13 @ SV31 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[952]) ).
thf(1029,plain,
( ( ( rel_s4 @ sK26_SY13 @ sK96_SY91 )
= $true )
| ( ( rel_s4 @ sK26_SY13 @ sK62_SY90 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( r @ sK14_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[953]) ).
thf(1030,plain,
! [SV32: $i,SV68: $i] :
( ( ( rel_s4 @ sK27_SY13 @ SV68 )
= $false )
| ( ( q @ SV68 )
= $true )
| ( ( p @ SV32 )
= $true )
| ( ( rel_s4 @ sK27_SY13 @ SV32 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1031,plain,
! [SV33: $i,SV69: $i] :
( ( ( rel_s4 @ sK27_SY13 @ SV69 )
= $false )
| ( ( r @ SV69 )
= $true )
| ( ( p @ SV33 )
= $true )
| ( ( rel_s4 @ sK27_SY13 @ SV33 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[957]) ).
thf(1032,plain,
( ( ( rel_s4 @ sK27_SY13 @ sK97_SY98 )
= $true )
| ( ( rel_s4 @ sK27_SY13 @ sK63_SY97 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK9_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[958]) ).
thf(1033,plain,
! [SV34: $i,SV70: $i] :
( ( ( rel_s4 @ sK28_SY13 @ SV70 )
= $false )
| ( ( q @ SV70 )
= $true )
| ( ( p @ SV34 )
= $true )
| ( ( rel_s4 @ sK28_SY13 @ SV34 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(1034,plain,
! [SV35: $i,SV71: $i] :
( ( ( rel_s4 @ sK28_SY13 @ SV71 )
= $false )
| ( ( r @ SV71 )
= $true )
| ( ( p @ SV35 )
= $true )
| ( ( rel_s4 @ sK28_SY13 @ SV35 )
= $false )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1035,plain,
( ( ( rel_s4 @ sK28_SY13 @ sK98_SY105 )
= $true )
| ( ( rel_s4 @ sK28_SY13 @ sK64_SY104 )
= $true )
| ( ( p @ sK5_SY25 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK10_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[966]) ).
thf(1036,plain,
! [SV48: $i,SV84: $i] :
( ( ( ~ ( rel_s4 @ sK35_SY13 @ SV84 ) )
= $true )
| ( ( q @ SV84 )
= $true )
| ( ( p @ SV48 )
= $true )
| ( ( rel_s4 @ sK35_SY13 @ SV48 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(1037,plain,
! [SV49: $i,SV85: $i] :
( ( ( ~ ( rel_s4 @ sK35_SY13 @ SV85 ) )
= $true )
| ( ( r @ SV85 )
= $true )
| ( ( p @ SV49 )
= $true )
| ( ( rel_s4 @ sK35_SY13 @ SV49 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1038,plain,
( ( ( ~ ( rel_s4 @ sK35_SY13 @ sK107_SY154 ) )
= $false )
| ( ( rel_s4 @ sK35_SY13 @ sK71_SY153 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1039,plain,
( ( ( r @ sK107_SY154 )
= $false )
| ( ( rel_s4 @ sK35_SY13 @ sK71_SY153 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1040,plain,
( ( ( rel_s4 @ sK35_SY13 @ sK99_SY154 )
= $true )
| ( ( q @ sK71_SY153 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[975]) ).
thf(1041,plain,
! [SV36: $i,SV72: $i] :
( ( ( rel_s4 @ sK29_SY13 @ SV72 )
= $false )
| ( ( q @ SV72 )
= $true )
| ( ( p @ SV36 )
= $true )
| ( ( rel_s4 @ sK29_SY13 @ SV36 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(1042,plain,
! [SV37: $i,SV73: $i] :
( ( ( rel_s4 @ sK29_SY13 @ SV73 )
= $false )
| ( ( r @ SV73 )
= $true )
| ( ( p @ SV37 )
= $true )
| ( ( rel_s4 @ sK29_SY13 @ SV37 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1043,plain,
( ( ( rel_s4 @ sK29_SY13 @ sK100_SY112 )
= $true )
| ( ( rel_s4 @ sK29_SY13 @ sK65_SY111 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( p @ sK15_SY27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[979]) ).
thf(1044,plain,
! [SV50: $i,SV86: $i] :
( ( ( ~ ( rel_s4 @ sK36_SY13 @ SV86 ) )
= $true )
| ( ( q @ SV86 )
= $true )
| ( ( p @ SV50 )
= $true )
| ( ( rel_s4 @ sK36_SY13 @ SV50 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[982]) ).
thf(1045,plain,
! [SV51: $i,SV87: $i] :
( ( ( ~ ( rel_s4 @ sK36_SY13 @ SV87 ) )
= $true )
| ( ( r @ SV87 )
= $true )
| ( ( p @ SV51 )
= $true )
| ( ( rel_s4 @ sK36_SY13 @ SV51 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(1046,plain,
( ( ( ~ ( rel_s4 @ sK36_SY13 @ sK108_SY161 ) )
= $false )
| ( ( rel_s4 @ sK36_SY13 @ sK72_SY160 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[984]) ).
thf(1047,plain,
( ( ( r @ sK108_SY161 )
= $false )
| ( ( rel_s4 @ sK36_SY13 @ sK72_SY160 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[984]) ).
thf(1048,plain,
( ( ( rel_s4 @ sK36_SY13 @ sK101_SY161 )
= $true )
| ( ( q @ sK72_SY160 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1049,plain,
! [SV38: $i,SV74: $i] :
( ( ( rel_s4 @ sK30_SY13 @ SV74 )
= $false )
| ( ( q @ SV74 )
= $true )
| ( ( p @ SV38 )
= $true )
| ( ( rel_s4 @ sK30_SY13 @ SV38 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1050,plain,
! [SV39: $i,SV75: $i] :
( ( ( rel_s4 @ sK30_SY13 @ SV75 )
= $false )
| ( ( r @ SV75 )
= $true )
| ( ( p @ SV39 )
= $true )
| ( ( rel_s4 @ sK30_SY13 @ SV39 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1051,plain,
( ( ( rel_s4 @ sK30_SY13 @ sK102_SY119 )
= $true )
| ( ( rel_s4 @ sK30_SY13 @ sK66_SY118 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( r @ sK16_SY28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[989]) ).
thf(1052,plain,
! [SV40: $i,SV76: $i] :
( ( ( rel_s4 @ sK31_SY13 @ SV76 )
= $false )
| ( ( q @ SV76 )
= $true )
| ( ( p @ SV40 )
= $true )
| ( ( rel_s4 @ sK31_SY13 @ SV40 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1053,plain,
! [SV41: $i,SV77: $i] :
( ( ( rel_s4 @ sK31_SY13 @ SV77 )
= $false )
| ( ( r @ SV77 )
= $true )
| ( ( p @ SV41 )
= $true )
| ( ( rel_s4 @ sK31_SY13 @ SV41 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1054,plain,
( ( ( rel_s4 @ sK31_SY13 @ sK103_SY126 )
= $true )
| ( ( rel_s4 @ sK31_SY13 @ sK67_SY125 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK11_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[994]) ).
thf(1055,plain,
! [SV42: $i,SV78: $i] :
( ( ( rel_s4 @ sK32_SY13 @ SV78 )
= $false )
| ( ( q @ SV78 )
= $true )
| ( ( p @ SV42 )
= $true )
| ( ( rel_s4 @ sK32_SY13 @ SV42 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1056,plain,
! [SV43: $i,SV79: $i] :
( ( ( rel_s4 @ sK32_SY13 @ SV79 )
= $false )
| ( ( r @ SV79 )
= $true )
| ( ( p @ SV43 )
= $true )
| ( ( rel_s4 @ sK32_SY13 @ SV43 )
= $false )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1057,plain,
( ( ( rel_s4 @ sK32_SY13 @ sK104_SY133 )
= $true )
| ( ( rel_s4 @ sK32_SY13 @ sK68_SY132 )
= $true )
| ( ( q @ sK6_SY26 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK12_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1002]) ).
thf(1058,plain,
! [SV44: $i,SV80: $i] :
( ( ( rel_s4 @ sK33_SY13 @ SV80 )
= $false )
| ( ( q @ SV80 )
= $true )
| ( ( p @ SV44 )
= $true )
| ( ( rel_s4 @ sK33_SY13 @ SV44 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1059,plain,
! [SV45: $i,SV81: $i] :
( ( ( rel_s4 @ sK33_SY13 @ SV81 )
= $false )
| ( ( r @ SV81 )
= $true )
| ( ( p @ SV45 )
= $true )
| ( ( rel_s4 @ sK33_SY13 @ SV45 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1060,plain,
( ( ( rel_s4 @ sK33_SY13 @ sK105_SY140 )
= $true )
| ( ( rel_s4 @ sK33_SY13 @ sK69_SY139 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK13_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1016]) ).
thf(1061,plain,
! [SV46: $i,SV82: $i] :
( ( ( rel_s4 @ sK34_SY13 @ SV82 )
= $false )
| ( ( q @ SV82 )
= $true )
| ( ( p @ SV46 )
= $true )
| ( ( rel_s4 @ sK34_SY13 @ SV46 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1062,plain,
! [SV47: $i,SV83: $i] :
( ( ( rel_s4 @ sK34_SY13 @ SV83 )
= $false )
| ( ( r @ SV83 )
= $true )
| ( ( p @ SV47 )
= $true )
| ( ( rel_s4 @ sK34_SY13 @ SV47 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1063,plain,
( ( ( rel_s4 @ sK34_SY13 @ sK106_SY147 )
= $true )
| ( ( rel_s4 @ sK34_SY13 @ sK70_SY146 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK5_SY25 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK14_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1024]) ).
thf(1064,plain,
! [SV48: $i,SV84: $i] :
( ( ( rel_s4 @ sK35_SY13 @ SV84 )
= $false )
| ( ( q @ SV84 )
= $true )
| ( ( p @ SV48 )
= $true )
| ( ( rel_s4 @ sK35_SY13 @ SV48 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1065,plain,
! [SV49: $i,SV85: $i] :
( ( ( rel_s4 @ sK35_SY13 @ SV85 )
= $false )
| ( ( r @ SV85 )
= $true )
| ( ( p @ SV49 )
= $true )
| ( ( rel_s4 @ sK35_SY13 @ SV49 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1066,plain,
( ( ( rel_s4 @ sK35_SY13 @ sK107_SY154 )
= $true )
| ( ( rel_s4 @ sK35_SY13 @ sK71_SY153 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK15_SY27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1038]) ).
thf(1067,plain,
! [SV50: $i,SV86: $i] :
( ( ( rel_s4 @ sK36_SY13 @ SV86 )
= $false )
| ( ( q @ SV86 )
= $true )
| ( ( p @ SV50 )
= $true )
| ( ( rel_s4 @ sK36_SY13 @ SV50 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1068,plain,
! [SV51: $i,SV87: $i] :
( ( ( rel_s4 @ sK36_SY13 @ SV87 )
= $false )
| ( ( r @ SV87 )
= $true )
| ( ( p @ SV51 )
= $true )
| ( ( rel_s4 @ sK36_SY13 @ SV51 )
= $false )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1069,plain,
( ( ( rel_s4 @ sK36_SY13 @ sK108_SY161 )
= $true )
| ( ( rel_s4 @ sK36_SY13 @ sK72_SY160 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK6_SY26 )
= $true )
| ( ( rel_s4 @ sK3_SY5 @ sK16_SY28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1046]) ).
thf(1070,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,1069,1068,1067,1066,1065,1064,1063,1062,1061,1060,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1049,1048,1047,1043,1042,1041,1040,1039,1035,1034,1033,1032,1031,1030,1029,1028,1027,1026,1025,1021,1020,1019,1018,1017,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,999,998,997,996,995,991,990,986,981,980,976,971,970,969,968,967,963,962,961,960,959,955,954,950,945,944,940,935,934,930,929,925,924,920,915,914,910,905,896,887,886,882,877,876,872,867,858,849,844,839,830,805,796,605,598,577,570,557,550,546,542,537,533,525,518,514,510,505,501,496,492,488,484,479,475,470,462,454,450,445,441,436,428,420,415,410,402,382,374,332,326,308,302,290,284,281,276,268,262,259,254,249,246,245,244,243,240,235,224,219,206,205,179,90,80,57,49,38,22]) ).
thf(1071,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1070]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN045^7 : TPTP v8.1.0. Released v5.5.0.
% 0.08/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 15:55:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 4
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 5508
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.36 (rf:0,axioms:4,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:6,loop_count:0,foatp_calls:0,translation:fof_full)..........................................................
% 1.00/1.21
% 1.00/1.21 ********************************
% 1.00/1.21 * All subproblems solved! *
% 1.00/1.21 ********************************
% 1.00/1.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,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:1070,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.80/2.00
% 1.80/2.00 %**** Beginning of derivation protocol ****
% 1.80/2.00 % SZS output start CNFRefutation
% See solution above
% 1.80/2.01
% 1.80/2.01 %**** End of derivation protocol ****
% 1.80/2.01 %**** no. of clauses in derivation: 1071 ****
% 1.80/2.01 %**** clause counter: 1070 ****
% 1.80/2.01
% 1.80/2.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,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:1070,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------