%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PHI004^2 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:36:10 AM UTC 2026
% Result : Theorem 110.93s 18.87s
% Output : CNFRefutation 110.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 27
% Syntax : Number of formulae : 386 ( 130 unt; 0 typ; 24 def)
% Number of atoms : 3311 ( 869 equ; 0 cnn)
% Maximal formula atoms : 7 ( 8 avg)
% Number of connectives : 14986 (1046 ~; 548 |; 19 &;13337 @)
% ( 2 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 1203 (1203 >; 0 *; 0 +; 0 <<)
% Number of symbols : 162 ( 159 usr; 95 con; 0-6 aty)
% Number of variables : 6422 (5934 ^; 484 !; 4 ?;6422 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mu,type,
mu: $tType ).
thf(tp_essence,type,
essence: ( mu > $i > $o ) > mu > $i > $o ).
thf(tp_god,type,
god: mu > $i > $o ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mbox,type,
mbox: ( $i > $o ) > $i > $o ).
thf(tp_mbox_generic,type,
mbox_generic: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mdia,type,
mdia: ( $i > $o ) > $i > $o ).
thf(tp_mdia_generic,type,
mdia_generic: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_meq_ind,type,
meq_ind: mu > mu > $i > $o ).
thf(tp_mequiv,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mexists_ind,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(tp_mexists_indset,type,
mexists_indset: ( ( mu > $i > $o ) > $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_indset,type,
mforall_indset: ( ( mu > $i > $o ) > $i > $o ) > $i > $o ).
thf(tp_mforall_prop,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $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_mtrue,type,
mtrue: $i > $o ).
thf(tp_mvalid,type,
mvalid: ( $i > $o ) > $o ).
thf(tp_mxor,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_positive,type,
positive: ( mu > $i > $o ) > $i > $o ).
thf(tp_rel,type,
rel: $i > $i > $o ).
thf(tp_sK100_E,type,
sK100_E: mu ).
thf(tp_sK101_E,type,
sK101_E: $i ).
thf(tp_sK102_E,type,
sK102_E: mu ).
thf(tp_sK103_E,type,
sK103_E: mu ).
thf(tp_sK104_E,type,
sK104_E: mu ).
thf(tp_sK105_E,type,
sK105_E: mu ).
thf(tp_sK106_E,type,
sK106_E: mu ).
thf(tp_sK107_E,type,
sK107_E: $i ).
thf(tp_sK108_E,type,
sK108_E: mu ).
thf(tp_sK109_E,type,
sK109_E: $i ).
thf(tp_sK10_E,type,
sK10_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $o ) > $i ).
thf(tp_sK110_E,type,
sK110_E: mu ).
thf(tp_sK111_E,type,
sK111_E: $i ).
thf(tp_sK112_E,type,
sK112_E: mu ).
thf(tp_sK113_E,type,
sK113_E: $i ).
thf(tp_sK114_E,type,
sK114_E: mu ).
thf(tp_sK115_E,type,
sK115_E: $i ).
thf(tp_sK116_E,type,
sK116_E: mu ).
thf(tp_sK117_E,type,
sK117_E: $i ).
thf(tp_sK118_E,type,
sK118_E: mu ).
thf(tp_sK119_E,type,
sK119_E: mu ).
thf(tp_sK11_E,type,
sK11_E: ( mu > $i > $i ) > ( mu > $i > mu > $i > $o ) > mu ).
thf(tp_sK120_E,type,
sK120_E: mu ).
thf(tp_sK121_E,type,
sK121_E: mu ).
thf(tp_sK122_E,type,
sK122_E: $i ).
thf(tp_sK123_E,type,
sK123_E: mu ).
thf(tp_sK124_E,type,
sK124_E: mu ).
thf(tp_sK125_E,type,
sK125_E: $i ).
thf(tp_sK126_E,type,
sK126_E: mu ).
thf(tp_sK127_E,type,
sK127_E: $i ).
thf(tp_sK128_E,type,
sK128_E: mu ).
thf(tp_sK129_E,type,
sK129_E: $i ).
thf(tp_sK12_E,type,
sK12_E: ( mu > $i > $i ) > ( mu > $i > mu > $i > $o ) > $i ).
thf(tp_sK130_E,type,
sK130_E: mu ).
thf(tp_sK131_E,type,
sK131_E: $i ).
thf(tp_sK132_E,type,
sK132_E: mu ).
thf(tp_sK133_E,type,
sK133_E: $i ).
thf(tp_sK13_E,type,
sK13_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $o ) > mu ).
thf(tp_sK14_E,type,
sK14_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $o ) > $i ).
thf(tp_sK15_E,type,
sK15_E: mu ).
thf(tp_sK16_E,type,
sK16_E: $i ).
thf(tp_sK17_E,type,
sK17_E: ( mu > $i > $i ) > ( mu > $i > mu > $i > $o ) > mu ).
thf(tp_sK18_E,type,
sK18_E: ( mu > $i > $i ) > ( mu > $i > mu > $i > $o ) > $i ).
thf(tp_sK19_E,type,
sK19_E: ( mu > $i > $i ) > ( mu > $i > mu > $i > $o ) > mu ).
thf(tp_sK1_SY97,type,
sK1_SY97: $i ).
thf(tp_sK20_E,type,
sK20_E: ( mu > $i > $i ) > ( mu > $i > mu > $i > $o ) > $i ).
thf(tp_sK21_E,type,
sK21_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $o ) > mu ).
thf(tp_sK22_E,type,
sK22_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $o ) > $i ).
thf(tp_sK23_E,type,
sK23_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > $o ) > mu ).
thf(tp_sK24_E,type,
sK24_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > $o ) > $i ).
thf(tp_sK25_E,type,
sK25_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > mu > $i > $o ) > mu ).
thf(tp_sK26_E,type,
sK26_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > mu > $i > $o ) > $i ).
thf(tp_sK27_E,type,
sK27_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > mu > $i > mu > $i > $o ) > mu ).
thf(tp_sK28_E,type,
sK28_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > mu > $i > mu > $i > $o ) > $i ).
thf(tp_sK29_E,type,
sK29_E: ( mu > $i > mu > $i > mu > $i > mu > $i > $o ) > ( mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > $o ) > ( mu > $i > mu > $i > mu > $i > $i ) > mu ).
thf(tp_sK2_SY157,type,
sK2_SY157: mu ).
thf(tp_sK30_E,type,
sK30_E: ( mu > $i > mu > $i > mu > $i > mu > $i > $o ) > ( mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > $o ) > ( mu > $i > mu > $i > mu > $i > $i ) > $i ).
thf(tp_sK31_E,type,
sK31_E: ( mu > $i > mu > $i > mu > $i > mu > $i > $o ) > ( mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > $o ) > ( mu > $i > mu > $i > mu > $i > $i ) > mu ).
thf(tp_sK32_E,type,
sK32_E: ( mu > $i > mu > $i > mu > $i > mu > $i > $o ) > ( mu > $i > mu > $i > mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > mu > $i > $o ) > ( mu > $i > mu > $i > mu > $i > $i ) > $i ).
thf(tp_sK33_E,type,
sK33_E: ( mu > $i > $i ) > ( mu > $i > mu > $i > $o ) > mu ).
thf(tp_sK34_E,type,
sK34_E: ( mu > $i > $i ) > ( mu > $i > mu > $i > $o ) > $i ).
thf(tp_sK35_E,type,
sK35_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $o ) > mu ).
thf(tp_sK36_E,type,
sK36_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $o ) > $i ).
thf(tp_sK37_E,type,
sK37_E: mu ).
thf(tp_sK38_E,type,
sK38_E: mu ).
thf(tp_sK39_E,type,
sK39_E: mu ).
thf(tp_sK3_SY165,type,
sK3_SY165: mu > $i > $o ).
thf(tp_sK40_E,type,
sK40_E: mu ).
thf(tp_sK41_E,type,
sK41_E: $i ).
thf(tp_sK42_E,type,
sK42_E: mu ).
thf(tp_sK43_E,type,
sK43_E: $i ).
thf(tp_sK44_E,type,
sK44_E: mu ).
thf(tp_sK45_E,type,
sK45_E: mu ).
thf(tp_sK46_E,type,
sK46_E: $i ).
thf(tp_sK47_E,type,
sK47_E: mu ).
thf(tp_sK48_E,type,
sK48_E: mu ).
thf(tp_sK49_E,type,
sK49_E: $i ).
thf(tp_sK4_SY166,type,
sK4_SY166: mu > $i > $o ).
thf(tp_sK50_E,type,
sK50_E: mu ).
thf(tp_sK51_E,type,
sK51_E: $i ).
thf(tp_sK52_E,type,
sK52_E: mu ).
thf(tp_sK53_E,type,
sK53_E: mu ).
thf(tp_sK54_E,type,
sK54_E: $i ).
thf(tp_sK55_E,type,
sK55_E: mu ).
thf(tp_sK56_E,type,
sK56_E: $i ).
thf(tp_sK57_E,type,
sK57_E: mu ).
thf(tp_sK58_E,type,
sK58_E: mu ).
thf(tp_sK59_E,type,
sK59_E: $i ).
thf(tp_sK5_SY170,type,
sK5_SY170: $i ).
thf(tp_sK60_E,type,
sK60_E: mu ).
thf(tp_sK61_E,type,
sK61_E: $i ).
thf(tp_sK62_E,type,
sK62_E: $i > ( mu > $i > $o ) > mu ).
thf(tp_sK63_E,type,
sK63_E: $i > ( mu > $i > $o ) > $i ).
thf(tp_sK64_E,type,
sK64_E: $i > ( mu > $i > $o ) > mu ).
thf(tp_sK65_E,type,
sK65_E: $i > ( mu > $i > $o ) > $i ).
thf(tp_sK66_E,type,
sK66_E: $i > ( mu > $i > $o ) > mu ).
thf(tp_sK67_E,type,
sK67_E: $i > ( mu > $i > $o ) > $i ).
thf(tp_sK68_E,type,
sK68_E: $i > ( mu > $i > $o ) > mu ).
thf(tp_sK69_E,type,
sK69_E: $i > ( mu > $i > $o ) > $i ).
thf(tp_sK6_SY173,type,
sK6_SY173: mu ).
thf(tp_sK70_E,type,
sK70_E: mu ).
thf(tp_sK71_E,type,
sK71_E: $i ).
thf(tp_sK72_E,type,
sK72_E: mu ).
thf(tp_sK73_E,type,
sK73_E: mu ).
thf(tp_sK74_E,type,
sK74_E: $i ).
thf(tp_sK75_E,type,
sK75_E: mu ).
thf(tp_sK76_E,type,
sK76_E: $i ).
thf(tp_sK77_E,type,
sK77_E: mu ).
thf(tp_sK78_E,type,
sK78_E: mu ).
thf(tp_sK79_E,type,
sK79_E: $i ).
thf(tp_sK7_E,type,
sK7_E: ( mu > $i > $i ) > ( mu > $i > mu > $i > $o ) > mu ).
thf(tp_sK80_E,type,
sK80_E: mu ).
thf(tp_sK81_E,type,
sK81_E: mu ).
thf(tp_sK82_E,type,
sK82_E: $i ).
thf(tp_sK83_E,type,
sK83_E: mu ).
thf(tp_sK84_E,type,
sK84_E: $i ).
thf(tp_sK85_E,type,
sK85_E: mu ).
thf(tp_sK86_E,type,
sK86_E: $i ).
thf(tp_sK87_E,type,
sK87_E: mu ).
thf(tp_sK88_E,type,
sK88_E: $i > ( mu > $i > $o ) > mu ).
thf(tp_sK89_E,type,
sK89_E: $i > ( mu > $i > $o ) > $i ).
thf(tp_sK8_E,type,
sK8_E: ( mu > $i > $i ) > ( mu > $i > mu > $i > $o ) > $i ).
thf(tp_sK90_E,type,
sK90_E: mu ).
thf(tp_sK91_E,type,
sK91_E: mu ).
thf(tp_sK92_E,type,
sK92_E: mu ).
thf(tp_sK93_E,type,
sK93_E: $i ).
thf(tp_sK94_E,type,
sK94_E: mu ).
thf(tp_sK95_E,type,
sK95_E: $i ).
thf(tp_sK96_E,type,
sK96_E: mu ).
thf(tp_sK97_E,type,
sK97_E: $i ).
thf(tp_sK98_E,type,
sK98_E: mu ).
thf(tp_sK99_E,type,
sK99_E: $i ).
thf(tp_sK9_E,type,
sK9_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $o ) > mu ).
thf(essence,definition,
( essence
= ( ^ [Phi: mu > $i > $o,X: mu] :
( mand @ ( Phi @ X )
@ ( mforall_indset
@ ^ [Psi: mu > $i > $o] :
( mimplies @ ( Psi @ X )
@ ( mbox
@ ( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( Phi @ Y ) @ ( Psi @ Y ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',defD2) ).
thf(god,definition,
( god
= ( ^ [X: mu] :
( mforall_indset
@ ^ [Phi: mu > $i > $o] : ( mimplies @ ( positive @ Phi ) @ ( Phi @ X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',defD1) ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
& ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( mbox_generic @ rel ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mbox_generic,definition,
( mbox_generic
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ~ ( R @ W @ V )
| ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_generic) ).
thf(mdia,definition,
( mdia
= ( mdia_generic @ rel ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(mdia_generic,definition,
( mdia_generic
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
? [V: $i] :
( ( R @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_generic) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_ind) ).
thf(mequiv,definition,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
<=> ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv) ).
thf(mexists_ind,definition,
( mexists_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
? [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind) ).
thf(mexists_indset,definition,
( mexists_indset
= ( ^ [Phi: ( mu > $i > $o ) > $i > $o,W: $i] :
? [X: mu > $i > $o] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_indset) ).
thf(mexists_prop,definition,
( mexists_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
? [P: $i > $o] : ( Phi @ P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( ^ [W: $i] : $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind) ).
thf(mforall_indset,definition,
( mforall_indset
= ( ^ [Phi: ( mu > $i > $o ) > $i > $o,W: $i] :
! [X: mu > $i > $o] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_indset) ).
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(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Psi @ W )
=> ( Phi @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
=> ( Psi @ W ) ) ) ),
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(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(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( ( Phi @ W )
& ~ ( Psi @ W ) )
| ( ~ ( Phi @ W )
& ( Psi @ W ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mxor) ).
thf(1,axiom,
( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] : ( mimplies @ ( positive @ Phi ) @ ( mbox @ ( positive @ Phi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axA4) ).
thf(2,axiom,
( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] :
( mequiv
@ ( positive
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) )
@ ( mnot @ ( positive @ Phi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axA1) ).
thf(3,conjecture,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( god @ X ) @ ( essence @ god @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thmT2) ).
thf(4,negated_conjecture,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( god @ X ) @ ( essence @ god @ X ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( ! [SY97: $i,SY98: mu] :
( ! [SY99: mu > $i > $o] :
( ( positive @ SY99 @ SY97 )
=> ( SY99 @ SY98 @ SY97 ) )
=> ( ! [SY100: mu > $i > $o] :
( ( positive @ SY100 @ SY97 )
=> ( SY100 @ SY98 @ SY97 ) )
& ! [SY101: mu > $i > $o] :
( ( SY101 @ SY98 @ SY97 )
=> ! [SY102: $i] :
( ~ ( rel @ SY97 @ SY102 )
| ! [SY55: mu] :
( ! [SY56: mu > $i > $o] :
( ( positive @ SY56 @ SY102 )
=> ( SY56 @ SY55 @ SY102 ) )
=> ( SY101 @ SY55 @ SY102 ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[4,essence,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor]) ).
thf(6,plain,
( ( ! [SY129: $i,SY130: mu > $i > $o] :
( ( positive
@ ^ [SY125: mu,SY126: $i] :
~ ( SY130 @ SY125 @ SY126 )
@ SY129 )
<=> ~ ( positive @ SY130 @ SY129 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,essence,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor]) ).
thf(7,plain,
( ( ! [SY151: $i,SY152: mu > $i > $o] :
( ( positive @ SY152 @ SY151 )
=> ! [SY153: $i] :
( ~ ( rel @ SY151 @ SY153 )
| ( positive @ SY152 @ SY153 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,essence,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor]) ).
thf(8,plain,
( ( ! [SY157: mu] :
( ! [SY158: mu > $i > $o] :
( ( positive @ SY158 @ sK1_SY97 )
=> ( SY158 @ SY157 @ sK1_SY97 ) )
=> ( ! [SY159: mu > $i > $o] :
( ( positive @ SY159 @ sK1_SY97 )
=> ( SY159 @ SY157 @ sK1_SY97 ) )
& ! [SY160: mu > $i > $o] :
( ( SY160 @ SY157 @ sK1_SY97 )
=> ! [SY161: $i] :
( ~ ( rel @ sK1_SY97 @ SY161 )
| ! [SY55: mu] :
( ! [SY56: mu > $i > $o] :
( ( positive @ SY56 @ SY161 )
=> ( SY56 @ SY55 @ SY161 ) )
=> ( SY160 @ SY55 @ SY161 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(9,plain,
( ( ! [SY164: mu > $i > $o] :
( ( positive @ SY164 @ sK1_SY97 )
=> ( SY164 @ sK2_SY157 @ sK1_SY97 ) )
=> ( ! [SY165: mu > $i > $o] :
( ( positive @ SY165 @ sK1_SY97 )
=> ( SY165 @ sK2_SY157 @ sK1_SY97 ) )
& ! [SY166: mu > $i > $o] :
( ( SY166 @ sK2_SY157 @ sK1_SY97 )
=> ! [SY161: $i] :
( ~ ( rel @ sK1_SY97 @ SY161 )
| ! [SY55: mu] :
( ! [SY56: mu > $i > $o] :
( ( positive @ SY56 @ SY161 )
=> ( SY56 @ SY55 @ SY161 ) )
=> ( SY166 @ SY55 @ SY161 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY164: mu > $i > $o] :
( ( positive @ SY164 @ sK1_SY97 )
=> ( SY164 @ sK2_SY157 @ sK1_SY97 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [SY165: mu > $i > $o] :
( ( positive @ SY165 @ sK1_SY97 )
=> ( SY165 @ sK2_SY157 @ sK1_SY97 ) )
& ! [SY166: mu > $i > $o] :
( ( SY166 @ sK2_SY157 @ sK1_SY97 )
=> ! [SY161: $i] :
( ~ ( rel @ sK1_SY97 @ SY161 )
| ! [SY55: mu] :
( ! [SY56: mu > $i > $o] :
( ( positive @ SY56 @ SY161 )
=> ( SY56 @ SY55 @ SY161 ) )
=> ( SY166 @ SY55 @ SY161 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [SY165: mu > $i > $o] :
( ( positive @ SY165 @ sK1_SY97 )
=> ( SY165 @ sK2_SY157 @ sK1_SY97 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[11]) ).
thf(13,plain,
( ( ! [SY166: mu > $i > $o] :
( ( SY166 @ sK2_SY157 @ sK1_SY97 )
=> ! [SY161: $i] :
( ~ ( rel @ sK1_SY97 @ SY161 )
| ! [SY55: mu] :
( ! [SY56: mu > $i > $o] :
( ( positive @ SY56 @ SY161 )
=> ( SY56 @ SY55 @ SY161 ) )
=> ( SY166 @ SY55 @ SY161 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[11]) ).
thf(14,plain,
( ( ~ ! [SY165: mu > $i > $o] :
( ( positive @ SY165 @ sK1_SY97 )
=> ( SY165 @ sK2_SY157 @ sK1_SY97 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ! [SY166: mu > $i > $o] :
( ( SY166 @ sK2_SY157 @ sK1_SY97 )
=> ! [SY161: $i] :
( ~ ( rel @ sK1_SY97 @ SY161 )
| ! [SY55: mu] :
( ! [SY56: mu > $i > $o] :
( ( positive @ SY56 @ SY161 )
=> ( SY56 @ SY55 @ SY161 ) )
=> ( SY166 @ SY55 @ SY161 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(16,plain,
( ( ( positive @ sK3_SY165 @ sK1_SY97 )
& ~ ( sK3_SY165 @ sK2_SY157 @ sK1_SY97 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(17,plain,
( ( ( sK4_SY166 @ sK2_SY157 @ sK1_SY97 )
& ( rel @ sK1_SY97 @ sK5_SY170 )
& ! [SY175: mu > $i > $o] :
( ~ ( positive @ SY175 @ sK5_SY170 )
| ( SY175 @ sK6_SY173 @ sK5_SY170 ) )
& ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(18,plain,
( ( ! [SY164: mu > $i > $o] :
( ~ ( positive @ SY164 @ sK1_SY97 )
| ( SY164 @ sK2_SY157 @ sK1_SY97 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(19,plain,
( ( ! [SY129: $i,SY130: mu > $i > $o] :
( ~ ( positive
@ ^ [SY125: mu,SY126: $i] :
~ ( SY130 @ SY125 @ SY126 )
@ SY129 )
| ~ ( positive @ SY130 @ SY129 ) )
& ! [SY129: $i,SY130: mu > $i > $o] :
( ( positive @ SY130 @ SY129 )
| ( positive
@ ^ [SY125: mu,SY126: $i] :
~ ( SY130 @ SY125 @ SY126 )
@ SY129 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(20,plain,
( ( ! [SY151: $i,SY152: mu > $i > $o] :
( ~ ( positive @ SY152 @ SY151 )
| ! [SY153: $i] :
( ~ ( rel @ SY151 @ SY153 )
| ( positive @ SY152 @ SY153 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(21,plain,
( ( ! [SY151: $i,SY152: mu > $i > $o] :
( ~ ( positive @ SY152 @ SY151 )
| ! [SY153: $i] :
( ~ ( rel @ SY151 @ SY153 )
| ( positive @ SY152 @ SY153 ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(22,plain,
( ( ! [SY129: $i,SY130: mu > $i > $o] :
( ~ ( positive
@ ^ [SY125: mu,SY126: $i] :
~ ( SY130 @ SY125 @ SY126 )
@ SY129 )
| ~ ( positive @ SY130 @ SY129 ) )
& ! [SY129: $i,SY130: mu > $i > $o] :
( ( positive @ SY130 @ SY129 )
| ( positive
@ ^ [SY125: mu,SY126: $i] :
~ ( SY130 @ SY125 @ SY126 )
@ SY129 ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(23,plain,
( ( ! [SY164: mu > $i > $o] :
( ~ ( positive @ SY164 @ sK1_SY97 )
| ( SY164 @ sK2_SY157 @ sK1_SY97 ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(24,plain,
( ( ( positive @ sK3_SY165 @ sK1_SY97 )
& ~ ( sK3_SY165 @ sK2_SY157 @ sK1_SY97 ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(25,plain,
( ( ~ ( ~ ( positive @ sK3_SY165 @ sK1_SY97 )
| ~ ~ ( sK3_SY165 @ sK2_SY157 @ sK1_SY97 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24,essence,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor]) ).
thf(26,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: mu > $i > $o] :
( ~ ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 )
| ~ ( positive @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: mu > $i > $o] :
( ( positive @ SX1 @ SX0 )
| ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22,essence,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor]) ).
thf(27,plain,
! [SV1: $i] :
( ( ! [SY176: mu > $i > $o] :
( ~ ( positive @ SY176 @ SV1 )
| ! [SY177: $i] :
( ~ ( rel @ SV1 @ SY177 )
| ( positive @ SY176 @ SY177 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(28,plain,
! [SV2: mu > $i > $o] :
( ( ~ ( positive @ SV2 @ sK1_SY97 )
| ( SV2 @ sK2_SY157 @ sK1_SY97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(29,plain,
( ( ~ ( positive @ sK3_SY165 @ sK1_SY97 )
| ~ ~ ( sK3_SY165 @ sK2_SY157 @ sK1_SY97 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(30,plain,
( ( ~ ! [SX0: $i,SX1: mu > $i > $o] :
( ~ ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 )
| ~ ( positive @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: mu > $i > $o] :
( ( positive @ SX1 @ SX0 )
| ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV1: $i,SV3: mu > $i > $o] :
( ( ~ ( positive @ SV3 @ SV1 )
| ! [SY178: $i] :
( ~ ( rel @ SV1 @ SY178 )
| ( positive @ SV3 @ SY178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV2: mu > $i > $o] :
( ( ( ~ ( positive @ SV2 @ sK1_SY97 ) )
= $true )
| ( ( SV2 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(33,plain,
( ( ~ ( positive @ sK3_SY165 @ sK1_SY97 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(34,plain,
( ( ~ ~ ( sK3_SY165 @ sK2_SY157 @ sK1_SY97 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(35,plain,
( ( ~ ! [SX0: $i,SX1: mu > $i > $o] :
( ~ ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 )
| ~ ( positive @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(36,plain,
( ( ~ ! [SX0: $i,SX1: mu > $i > $o] :
( ( positive @ SX1 @ SX0 )
| ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(37,plain,
! [SV1: $i,SV3: mu > $i > $o] :
( ( ( ~ ( positive @ SV3 @ SV1 ) )
= $true )
| ( ( ! [SY178: $i] :
( ~ ( rel @ SV1 @ SY178 )
| ( positive @ SV3 @ SY178 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(38,plain,
! [SV2: mu > $i > $o] :
( ( ( positive @ SV2 @ sK1_SY97 )
= $false )
| ( ( SV2 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(39,plain,
( ( positive @ sK3_SY165 @ sK1_SY97 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(40,plain,
( ( ~ ( sK3_SY165 @ sK2_SY157 @ sK1_SY97 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(41,plain,
( ( ! [SX0: $i,SX1: mu > $i > $o] :
( ~ ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 )
| ~ ( positive @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(42,plain,
( ( ! [SX0: $i,SX1: mu > $i > $o] :
( ( positive @ SX1 @ SX0 )
| ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(43,plain,
! [SV1: $i,SV3: mu > $i > $o] :
( ( ( positive @ SV3 @ SV1 )
= $false )
| ( ( ! [SY178: $i] :
( ~ ( rel @ SV1 @ SY178 )
| ( positive @ SV3 @ SY178 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(44,plain,
( ( sK3_SY165 @ sK2_SY157 @ sK1_SY97 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV4: $i] :
( ( ! [SY179: mu > $i > $o] :
( ~ ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SY179 @ SX2 @ SX3 )
@ SV4 )
| ~ ( positive @ SY179 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV5: $i] :
( ( ! [SY182: mu > $i > $o] :
( ( positive @ SY182 @ SV5 )
| ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SY182 @ SX2 @ SX3 )
@ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV3: mu > $i > $o,SV6: $i,SV1: $i] :
( ( ( ~ ( rel @ SV1 @ SV6 )
| ( positive @ SV3 @ SV6 ) )
= $true )
| ( ( positive @ SV3 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV4: $i,SV7: mu > $i > $o] :
( ( ~ ( positive
@ ^ [SY185: mu,SY186: $i] :
~ ( SV7 @ SY185 @ SY186 )
@ SV4 )
| ~ ( positive @ SV7 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(49,plain,
! [SV5: $i,SV8: mu > $i > $o] :
( ( ( positive @ SV8 @ SV5 )
| ( positive
@ ^ [SY187: mu,SY188: $i] :
~ ( SV8 @ SY187 @ SY188 )
@ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(50,plain,
! [SV3: mu > $i > $o,SV6: $i,SV1: $i] :
( ( ( ~ ( rel @ SV1 @ SV6 ) )
= $true )
| ( ( positive @ SV3 @ SV6 )
= $true )
| ( ( positive @ SV3 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(51,plain,
! [SV4: $i,SV7: mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SY185: mu,SY186: $i] :
~ ( SV7 @ SY185 @ SY186 )
@ SV4 ) )
= $true )
| ( ( ~ ( positive @ SV7 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(52,plain,
! [SV5: $i,SV8: mu > $i > $o] :
( ( ( positive @ SV8 @ SV5 )
= $true )
| ( ( positive
@ ^ [SY187: mu,SY188: $i] :
~ ( SV8 @ SY187 @ SY188 )
@ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(53,plain,
! [SV3: mu > $i > $o,SV6: $i,SV1: $i] :
( ( ( rel @ SV1 @ SV6 )
= $false )
| ( ( positive @ SV3 @ SV6 )
= $true )
| ( ( positive @ SV3 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(54,plain,
! [SV4: $i,SV7: mu > $i > $o] :
( ( ( positive
@ ^ [SY185: mu,SY186: $i] :
~ ( SV7 @ SY185 @ SY186 )
@ SV4 )
= $false )
| ( ( ~ ( positive @ SV7 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(55,plain,
! [SV4: $i,SV7: mu > $i > $o] :
( ( ( positive @ SV7 @ SV4 )
= $false )
| ( ( positive
@ ^ [SY185: mu,SY186: $i] :
~ ( SV7 @ SY185 @ SY186 )
@ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(56,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[38,55,53,52,44,39]) ).
thf(57,plain,
( ( ! [SY151: $i,SY152: mu > $i > $o] :
( ~ ( positive @ SY152 @ SY151 )
| ! [SY153: $i] :
( ~ ( rel @ SY151 @ SY153 )
| ( positive @ SY152 @ SY153 ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(58,plain,
( ( ! [SY129: $i,SY130: mu > $i > $o] :
( ~ ( positive
@ ^ [SY125: mu,SY126: $i] :
~ ( SY130 @ SY125 @ SY126 )
@ SY129 )
| ~ ( positive @ SY130 @ SY129 ) )
& ! [SY129: $i,SY130: mu > $i > $o] :
( ( positive @ SY130 @ SY129 )
| ( positive
@ ^ [SY125: mu,SY126: $i] :
~ ( SY130 @ SY125 @ SY126 )
@ SY129 ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(59,plain,
( ( ! [SY164: mu > $i > $o] :
( ~ ( positive @ SY164 @ sK1_SY97 )
| ( SY164 @ sK2_SY157 @ sK1_SY97 ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(60,plain,
( ( ( sK4_SY166 @ sK2_SY157 @ sK1_SY97 )
& ( rel @ sK1_SY97 @ sK5_SY170 )
& ! [SY175: mu > $i > $o] :
( ~ ( positive @ SY175 @ sK5_SY170 )
| ( SY175 @ sK6_SY173 @ sK5_SY170 ) )
& ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(61,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: mu > $i > $o] :
( ~ ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 )
| ~ ( positive @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: mu > $i > $o] :
( ( positive @ SX1 @ SX0 )
| ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58,essence,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor]) ).
thf(62,plain,
( ( ~ ( ~ ( sK4_SY166 @ sK2_SY157 @ sK1_SY97 )
| ~ ~ ( ~ ( rel @ sK1_SY97 @ sK5_SY170 )
| ~ ~ ( ~ ! [SX0: mu > $i > $o] :
( ~ ( positive @ SX0 @ sK5_SY170 )
| ( SX0 @ sK6_SY173 @ sK5_SY170 ) )
| ~ ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60,essence,god,mand,mbox,mbox_generic,mdia,mdia_generic,meq_ind,mequiv,mexists_ind,mexists_indset,mexists_prop,mfalse,mforall_ind,mforall_indset,mforall_prop,mimplied,mimplies,minvalid,mnot,mor,mtrue,mvalid,mxor]) ).
thf(63,plain,
! [SV9: $i] :
( ( ! [SY189: mu > $i > $o] :
( ~ ( positive @ SY189 @ SV9 )
| ! [SY190: $i] :
( ~ ( rel @ SV9 @ SY190 )
| ( positive @ SY189 @ SY190 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(64,plain,
! [SV10: mu > $i > $o] :
( ( ~ ( positive @ SV10 @ sK1_SY97 )
| ( SV10 @ sK2_SY157 @ sK1_SY97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(65,plain,
( ( ~ ! [SX0: $i,SX1: mu > $i > $o] :
( ~ ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 )
| ~ ( positive @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: mu > $i > $o] :
( ( positive @ SX1 @ SX0 )
| ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
( ( ~ ( sK4_SY166 @ sK2_SY157 @ sK1_SY97 )
| ~ ~ ( ~ ( rel @ sK1_SY97 @ sK5_SY170 )
| ~ ~ ( ~ ! [SX0: mu > $i > $o] :
( ~ ( positive @ SX0 @ sK5_SY170 )
| ( SX0 @ sK6_SY173 @ sK5_SY170 ) )
| ~ ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(67,plain,
! [SV9: $i,SV11: mu > $i > $o] :
( ( ~ ( positive @ SV11 @ SV9 )
| ! [SY191: $i] :
( ~ ( rel @ SV9 @ SY191 )
| ( positive @ SV11 @ SY191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(68,plain,
! [SV10: mu > $i > $o] :
( ( ( ~ ( positive @ SV10 @ sK1_SY97 ) )
= $true )
| ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(69,plain,
( ( ~ ! [SX0: $i,SX1: mu > $i > $o] :
( ~ ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 )
| ~ ( positive @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(70,plain,
( ( ~ ! [SX0: $i,SX1: mu > $i > $o] :
( ( positive @ SX1 @ SX0 )
| ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(71,plain,
( ( ~ ( sK4_SY166 @ sK2_SY157 @ sK1_SY97 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(72,plain,
( ( ~ ~ ( ~ ( rel @ sK1_SY97 @ sK5_SY170 )
| ~ ~ ( ~ ! [SX0: mu > $i > $o] :
( ~ ( positive @ SX0 @ sK5_SY170 )
| ( SX0 @ sK6_SY173 @ sK5_SY170 ) )
| ~ ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(73,plain,
! [SV9: $i,SV11: mu > $i > $o] :
( ( ( ~ ( positive @ SV11 @ SV9 ) )
= $true )
| ( ( ! [SY191: $i] :
( ~ ( rel @ SV9 @ SY191 )
| ( positive @ SV11 @ SY191 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(74,plain,
! [SV10: mu > $i > $o] :
( ( ( positive @ SV10 @ sK1_SY97 )
= $false )
| ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: mu > $i > $o] :
( ~ ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 )
| ~ ( positive @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(76,plain,
( ( ! [SX0: $i,SX1: mu > $i > $o] :
( ( positive @ SX1 @ SX0 )
| ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(77,plain,
( ( sK4_SY166 @ sK2_SY157 @ sK1_SY97 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(78,plain,
( ( ~ ( ~ ( rel @ sK1_SY97 @ sK5_SY170 )
| ~ ~ ( ~ ! [SX0: mu > $i > $o] :
( ~ ( positive @ SX0 @ sK5_SY170 )
| ( SX0 @ sK6_SY173 @ sK5_SY170 ) )
| ~ ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(79,plain,
! [SV9: $i,SV11: mu > $i > $o] :
( ( ( positive @ SV11 @ SV9 )
= $false )
| ( ( ! [SY191: $i] :
( ~ ( rel @ SV9 @ SY191 )
| ( positive @ SV11 @ SY191 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(80,plain,
! [SV12: $i] :
( ( ! [SY192: mu > $i > $o] :
( ~ ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SY192 @ SX2 @ SX3 )
@ SV12 )
| ~ ( positive @ SY192 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(81,plain,
! [SV13: $i] :
( ( ! [SY195: mu > $i > $o] :
( ( positive @ SY195 @ SV13 )
| ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SY195 @ SX2 @ SX3 )
@ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(82,plain,
( ( ~ ( rel @ sK1_SY97 @ sK5_SY170 )
| ~ ~ ( ~ ! [SX0: mu > $i > $o] :
( ~ ( positive @ SX0 @ sK5_SY170 )
| ( SX0 @ sK6_SY173 @ sK5_SY170 ) )
| ~ ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(83,plain,
! [SV11: mu > $i > $o,SV14: $i,SV9: $i] :
( ( ( ~ ( rel @ SV9 @ SV14 )
| ( positive @ SV11 @ SV14 ) )
= $true )
| ( ( positive @ SV11 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(84,plain,
! [SV12: $i,SV15: mu > $i > $o] :
( ( ~ ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 )
| ~ ( positive @ SV15 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(85,plain,
! [SV13: $i,SV16: mu > $i > $o] :
( ( ( positive @ SV16 @ SV13 )
| ( positive
@ ^ [SY200: mu,SY201: $i] :
~ ( SV16 @ SY200 @ SY201 )
@ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(86,plain,
( ( ~ ( rel @ sK1_SY97 @ sK5_SY170 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(87,plain,
( ( ~ ~ ( ~ ! [SX0: mu > $i > $o] :
( ~ ( positive @ SX0 @ sK5_SY170 )
| ( SX0 @ sK6_SY173 @ sK5_SY170 ) )
| ~ ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(88,plain,
! [SV11: mu > $i > $o,SV14: $i,SV9: $i] :
( ( ( ~ ( rel @ SV9 @ SV14 ) )
= $true )
| ( ( positive @ SV11 @ SV14 )
= $true )
| ( ( positive @ SV11 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(89,plain,
! [SV12: $i,SV15: mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 ) )
= $true )
| ( ( ~ ( positive @ SV15 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(90,plain,
! [SV13: $i,SV16: mu > $i > $o] :
( ( ( positive @ SV16 @ SV13 )
= $true )
| ( ( positive
@ ^ [SY200: mu,SY201: $i] :
~ ( SV16 @ SY200 @ SY201 )
@ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(91,plain,
( ( rel @ sK1_SY97 @ sK5_SY170 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(92,plain,
( ( ~ ( ~ ! [SX0: mu > $i > $o] :
( ~ ( positive @ SX0 @ sK5_SY170 )
| ( SX0 @ sK6_SY173 @ sK5_SY170 ) )
| ~ ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(93,plain,
! [SV11: mu > $i > $o,SV14: $i,SV9: $i] :
( ( ( rel @ SV9 @ SV14 )
= $false )
| ( ( positive @ SV11 @ SV14 )
= $true )
| ( ( positive @ SV11 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(94,plain,
! [SV12: $i,SV15: mu > $i > $o] :
( ( ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 )
= $false )
| ( ( ~ ( positive @ SV15 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(95,plain,
( ( ~ ! [SX0: mu > $i > $o] :
( ~ ( positive @ SX0 @ sK5_SY170 )
| ( SX0 @ sK6_SY173 @ sK5_SY170 ) )
| ~ ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(96,plain,
! [SV12: $i,SV15: mu > $i > $o] :
( ( ( positive @ SV15 @ SV12 )
= $false )
| ( ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(97,plain,
( ( ~ ! [SX0: mu > $i > $o] :
( ~ ( positive @ SX0 @ sK5_SY170 )
| ( SX0 @ sK6_SY173 @ sK5_SY170 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(98,plain,
( ( ~ ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(99,plain,
( ( ! [SX0: mu > $i > $o] :
( ~ ( positive @ SX0 @ sK5_SY170 )
| ( SX0 @ sK6_SY173 @ sK5_SY170 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(100,plain,
( ( ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(101,plain,
! [SV17: mu > $i > $o] :
( ( ~ ( positive @ SV17 @ sK5_SY170 )
| ( SV17 @ sK6_SY173 @ sK5_SY170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(102,plain,
( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(103,plain,
! [SV17: mu > $i > $o] :
( ( ( ~ ( positive @ SV17 @ sK5_SY170 ) )
= $true )
| ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(104,plain,
! [SV17: mu > $i > $o] :
( ( ( positive @ SV17 @ sK5_SY170 )
= $false )
| ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(106,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK1_SY97 )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[74:[bind(SV10,$thf( ^ [SV28: mu] : ^ [SV29: $i] : $false ))]]) ).
thf(107,plain,
! [SV27: mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV27 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( ~ ( SV27 @ sK2_SY157 @ sK1_SY97 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[74:[bind(SV10,$thf( ^ [SV25: mu] : ^ [SV26: $i] : ~ ( SV27 @ SV25 @ SV26 ) ))]]) ).
thf(109,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK5_SY170 )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[104:[bind(SV17,$thf( ^ [SV21: mu] : ^ [SV22: $i] : $false ))]]) ).
thf(110,plain,
! [SV20: mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV20 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( ~ ( SV20 @ sK6_SY173 @ sK5_SY170 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[104:[bind(SV17,$thf( ^ [SV18: mu] : ^ [SV19: $i] : ~ ( SV20 @ SV18 @ SV19 ) ))]]) ).
thf(111,plain,
! [SV10: mu > $i > $o] :
( ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
= $true )
| ( ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
= ( ~ ( positive @ SV10 @ sK1_SY97 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[74]) ).
thf(112,plain,
! [SV13: $i,SV16: mu > $i > $o] :
( ( ( positive
@ ^ [SY200: mu,SY201: $i] :
~ ( SV16 @ SY200 @ SY201 )
@ SV13 )
= $true )
| ( ( ( positive @ SV16 @ SV13 )
= ( positive
@ ^ [SY200: mu,SY201: $i] :
~ ( SV16 @ SY200 @ SY201 )
@ SV13 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[90]) ).
thf(113,plain,
! [SV12: $i,SV15: mu > $i > $o] :
( ( ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 )
= $false )
| ( ( ( positive @ SV15 @ SV12 )
= ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[96]) ).
thf(114,plain,
! [SV17: mu > $i > $o] :
( ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
= $true )
| ( ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
= ( ~ ( positive @ SV17 @ sK5_SY170 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[104]) ).
thf(115,plain,
! [SV10: mu > $i > $o] :
( ( ( ~ ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
| ~ ( positive @ SV10 @ sK1_SY97 ) )
| ~ ( ~ ( SV10 @ sK2_SY157 @ sK1_SY97 )
| ~ ~ ( positive @ SV10 @ sK1_SY97 ) ) )
= $false )
| ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[111]) ).
thf(116,plain,
! [SV10: mu > $i > $o] :
( ( ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
= ( ~ ( positive @ SV10 @ sK1_SY97 ) ) )
= $false )
| ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[111]) ).
thf(117,plain,
! [SV13: $i,SV16: mu > $i > $o] :
( ( ( ~ ( ( positive @ SV16 @ SV13 )
| ( positive
@ ^ [SY200: mu,SY201: $i] :
~ ( SV16 @ SY200 @ SY201 )
@ SV13 ) )
| ~ ( ~ ( positive @ SV16 @ SV13 )
| ~ ( positive
@ ^ [SY200: mu,SY201: $i] :
~ ( SV16 @ SY200 @ SY201 )
@ SV13 ) ) )
= $false )
| ( ( positive
@ ^ [SY200: mu,SY201: $i] :
~ ( SV16 @ SY200 @ SY201 )
@ SV13 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[112]) ).
thf(119,plain,
! [SV12: $i,SV15: mu > $i > $o] :
( ( ( ~ ( ( positive @ SV15 @ SV12 )
| ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 ) )
| ~ ( ~ ( positive @ SV15 @ SV12 )
| ~ ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 ) ) )
= $false )
| ( ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[113]) ).
thf(121,plain,
! [SV17: mu > $i > $o] :
( ( ( ~ ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
| ~ ( positive @ SV17 @ sK5_SY170 ) )
| ~ ( ~ ( SV17 @ sK6_SY173 @ sK5_SY170 )
| ~ ~ ( positive @ SV17 @ sK5_SY170 ) ) )
= $false )
| ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[114]) ).
thf(122,plain,
! [SV17: mu > $i > $o] :
( ( ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
= ( ~ ( positive @ SV17 @ sK5_SY170 ) ) )
= $false )
| ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[114]) ).
thf(123,plain,
! [SV10: mu > $i > $o] :
( ( ( ~ ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
| ~ ( positive @ SV10 @ sK1_SY97 ) ) )
= $false )
| ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(125,plain,
! [SV13: $i,SV16: mu > $i > $o] :
( ( ( ~ ( ( positive @ SV16 @ SV13 )
| ( positive
@ ^ [SY200: mu,SY201: $i] :
~ ( SV16 @ SY200 @ SY201 )
@ SV13 ) ) )
= $false )
| ( ( positive
@ ^ [SY200: mu,SY201: $i] :
~ ( SV16 @ SY200 @ SY201 )
@ SV13 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(128,plain,
! [SV12: $i,SV15: mu > $i > $o] :
( ( ( ~ ( ~ ( positive @ SV15 @ SV12 )
| ~ ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 ) ) )
= $false )
| ( ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(129,plain,
! [SV17: mu > $i > $o] :
( ( ( ~ ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
| ~ ( positive @ SV17 @ sK5_SY170 ) ) )
= $false )
| ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(131,plain,
! [SV10: mu > $i > $o] :
( ( ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
| ~ ( positive @ SV10 @ sK1_SY97 ) )
= $true )
| ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(133,plain,
! [SV13: $i,SV16: mu > $i > $o] :
( ( ( ( positive @ SV16 @ SV13 )
| ( positive
@ ^ [SY200: mu,SY201: $i] :
~ ( SV16 @ SY200 @ SY201 )
@ SV13 ) )
= $true )
| ( ( positive
@ ^ [SY200: mu,SY201: $i] :
~ ( SV16 @ SY200 @ SY201 )
@ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(136,plain,
! [SV12: $i,SV15: mu > $i > $o] :
( ( ( ~ ( positive @ SV15 @ SV12 )
| ~ ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 ) )
= $true )
| ( ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(137,plain,
! [SV17: mu > $i > $o] :
( ( ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
| ~ ( positive @ SV17 @ sK5_SY170 ) )
= $true )
| ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(139,plain,
! [SV10: mu > $i > $o] :
( ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
= $true )
| ( ( ~ ( positive @ SV10 @ sK1_SY97 ) )
= $true )
| ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(141,plain,
! [SV13: $i,SV16: mu > $i > $o] :
( ( ( positive @ SV16 @ SV13 )
= $true )
| ( ( positive
@ ^ [SY200: mu,SY201: $i] :
~ ( SV16 @ SY200 @ SY201 )
@ SV13 )
= $true )
| ( ( positive
@ ^ [SY200: mu,SY201: $i] :
~ ( SV16 @ SY200 @ SY201 )
@ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(144,plain,
! [SV12: $i,SV15: mu > $i > $o] :
( ( ( ~ ( positive @ SV15 @ SV12 ) )
= $true )
| ( ( ~ ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 ) )
= $true )
| ( ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(145,plain,
! [SV17: mu > $i > $o] :
( ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
= $true )
| ( ( ~ ( positive @ SV17 @ sK5_SY170 ) )
= $true )
| ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(147,plain,
! [SV10: mu > $i > $o] :
( ( ( positive @ SV10 @ sK1_SY97 )
= $false )
| ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
= $true )
| ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(150,plain,
! [SV12: $i,SV15: mu > $i > $o] :
( ( ( positive @ SV15 @ SV12 )
= $false )
| ( ( ~ ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 ) )
= $true )
| ( ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(151,plain,
! [SV17: mu > $i > $o] :
( ( ( positive @ SV17 @ sK5_SY170 )
= $false )
| ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
= $true )
| ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(155,plain,
! [SV12: $i,SV15: mu > $i > $o] :
( ( ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 )
= $false )
| ( ( positive @ SV15 @ SV12 )
= $false )
| ( ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(159,plain,
! [SV61: mu > $i > mu > $i > $i,SV60: mu > $i > mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV60 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV61 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 ) )
= $true )
| ( ( positive
@ ( SV60 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV61 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV60
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV61
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[116:[bind(SV10,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).
thf(160,plain,
! [SV61: mu > $i > mu > $i > $i,SV60: mu > $i > mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV60 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV61 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 ) )
= $true )
| ( ( positive
@ ( SV60 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV61 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV60
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV61
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SY97 )
= $true ) ),
inference(extuni,[status(esa)],[116:[bind(SV10,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ sK1_SY97 ) ))]]) ).
thf(161,plain,
! [SV61: mu > $i > mu > $i > $i,SV60: mu > $i > mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV60 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV61 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 ) )
= $true )
| ( ( positive
@ ( SV60 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV61 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV60
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV61
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[116:[bind(SV10,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).
thf(162,plain,
! [SV61: mu > $i > mu > $i > $i,SV60: mu > $i > mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV60 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV61 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 ) )
= $true )
| ( ( positive
@ ( SV60 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV61 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV60
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV61
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SY97 )
= $false ) ),
inference(extuni,[status(esa)],[116:[bind(SV10,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ sK1_SY97 ) ))]]) ).
thf(163,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true )
| ( ( ~ ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[116:[bind(SV10,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ))]]) ).
thf(164,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true )
| ( ( ~ ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extuni,[status(esa)],[116:[bind(SV10,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) @ sK1_SY97 ) ))]]) ).
thf(165,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true )
| ( ( ~ ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[116:[bind(SV10,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ))]]) ).
thf(166,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true )
| ( ( ~ ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 ) )
= $false ) ),
inference(extuni,[status(esa)],[116:[bind(SV10,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) @ sK1_SY97 ) ))]]) ).
thf(168,plain,
! [SV42: mu > $i > $i,SV41: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive @ ( SV41 @ sK2_SY157 @ sK1_SY97 ) @ ( SV42 @ sK2_SY157 @ sK1_SY97 ) ) )
= $true )
| ( ( positive @ ( SV41 @ sK2_SY157 @ sK1_SY97 ) @ ( SV42 @ sK2_SY157 @ sK1_SY97 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV41 @ SX0 @ SX1 ) @ ( SV42 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false ) ),
inference(extuni,[status(esa)],[116:[bind(SV10,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ( SV41 @ SX0 @ SX1 ) @ ( SV42 @ SX0 @ SX1 ) ) ))]]) ).
thf(169,plain,
! [SV36: mu > $i > $o] :
( ( ( ~ ( SV36 @ sK2_SY157 @ sK1_SY97 ) )
= $true )
| ( ( ~ ( SV36 @ sK2_SY157 @ sK1_SY97 ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV36 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extuni,[status(esa)],[116:[bind(SV10,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( SV36 @ SX0 @ SX1 ) ))]]) ).
thf(171,plain,
! [SV142: mu > $i > mu > $i > $i,SV141: mu > $i > mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV141 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) @ ( SV142 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) )
@ sK5_SY170 ) )
= $true )
| ( ( positive
@ ( SV141 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV142 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV141
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV142
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[122:[bind(SV17,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).
thf(172,plain,
! [SV142: mu > $i > mu > $i > $i,SV141: mu > $i > mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV141 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) @ ( SV142 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) )
@ sK5_SY170 ) )
= $true )
| ( ( positive
@ ( SV141 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV142 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV141
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV142
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK5_SY170 )
= $true ) ),
inference(extuni,[status(esa)],[122:[bind(SV17,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ sK5_SY170 ) ))]]) ).
thf(173,plain,
! [SV142: mu > $i > mu > $i > $i,SV141: mu > $i > mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV141 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) @ ( SV142 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) )
@ sK5_SY170 ) )
= $true )
| ( ( positive
@ ( SV141 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV142 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV141
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV142
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[122:[bind(SV17,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).
thf(174,plain,
! [SV142: mu > $i > mu > $i > $i,SV141: mu > $i > mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV141 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) @ ( SV142 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) )
@ sK5_SY170 ) )
= $true )
| ( ( positive
@ ( SV141 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV142 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV141
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV142
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK5_SY170 )
= $false ) ),
inference(extuni,[status(esa)],[122:[bind(SV17,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ sK5_SY170 ) ))]]) ).
thf(175,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 ) )
= $true )
| ( ( ~ ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[122:[bind(SV17,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ))]]) ).
thf(176,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 ) )
= $true )
| ( ( ~ ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK5_SY170 ) )
= $true ) ),
inference(extuni,[status(esa)],[122:[bind(SV17,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) @ sK5_SY170 ) ))]]) ).
thf(177,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 ) )
= $true )
| ( ( ~ ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[122:[bind(SV17,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ))]]) ).
thf(178,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 ) )
= $true )
| ( ( ~ ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK5_SY170 ) )
= $false ) ),
inference(extuni,[status(esa)],[122:[bind(SV17,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) @ sK5_SY170 ) ))]]) ).
thf(180,plain,
! [SV123: mu > $i > $i,SV122: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive @ ( SV122 @ sK6_SY173 @ sK5_SY170 ) @ ( SV123 @ sK6_SY173 @ sK5_SY170 ) ) )
= $true )
| ( ( positive @ ( SV122 @ sK6_SY173 @ sK5_SY170 ) @ ( SV123 @ sK6_SY173 @ sK5_SY170 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) )
@ sK5_SY170 )
= $false ) ),
inference(extuni,[status(esa)],[122:[bind(SV17,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) ) ))]]) ).
thf(181,plain,
! [SV117: mu > $i > $o] :
( ( ( ~ ( SV117 @ sK6_SY173 @ sK5_SY170 ) )
= $true )
| ( ( ~ ( SV117 @ sK6_SY173 @ sK5_SY170 ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV117 @ SX0 @ SX1 )
@ sK5_SY170 ) )
= $true ) ),
inference(extuni,[status(esa)],[122:[bind(SV17,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( SV117 @ SX0 @ SX1 ) ))]]) ).
thf(184,plain,
! [SV36: mu > $i > $o] :
( ( ( SV36 @ sK2_SY157 @ sK1_SY97 )
= $false )
| ( ( ~ ( SV36 @ sK2_SY157 @ sK1_SY97 ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV36 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(185,plain,
! [SV42: mu > $i > $i,SV41: mu > $i > mu > $i > $o] :
( ( ( positive @ ( SV41 @ sK2_SY157 @ sK1_SY97 ) @ ( SV42 @ sK2_SY157 @ sK1_SY97 ) )
= $false )
| ( ( positive @ ( SV41 @ sK2_SY157 @ sK1_SY97 ) @ ( SV42 @ sK2_SY157 @ sK1_SY97 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV41 @ SX0 @ SX1 ) @ ( SV42 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(187,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( ~ ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(188,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( ~ ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(189,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( ~ ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(190,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( ~ ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(191,plain,
! [SV61: mu > $i > mu > $i > $i,SV60: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV60 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV61 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV60 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV61 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV60
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV61
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SY97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(192,plain,
! [SV61: mu > $i > mu > $i > $i,SV60: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV60 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV61 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV60 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV61 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV60
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV61
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(193,plain,
! [SV61: mu > $i > mu > $i > $i,SV60: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV60 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV61 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV60 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV61 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV60
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV61
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SY97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(194,plain,
! [SV61: mu > $i > mu > $i > $i,SV60: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV60 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV61 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV60 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV61 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV60
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV61
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV60 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV61 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV60 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV61 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(196,plain,
! [SV117: mu > $i > $o] :
( ( ( SV117 @ sK6_SY173 @ sK5_SY170 )
= $false )
| ( ( ~ ( SV117 @ sK6_SY173 @ sK5_SY170 ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV117 @ SX0 @ SX1 )
@ sK5_SY170 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(197,plain,
! [SV123: mu > $i > $i,SV122: mu > $i > mu > $i > $o] :
( ( ( positive @ ( SV122 @ sK6_SY173 @ sK5_SY170 ) @ ( SV123 @ sK6_SY173 @ sK5_SY170 ) )
= $false )
| ( ( positive @ ( SV122 @ sK6_SY173 @ sK5_SY170 ) @ ( SV123 @ sK6_SY173 @ sK5_SY170 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) )
@ sK5_SY170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(199,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( ~ ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK5_SY170 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(200,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( ~ ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(201,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( ~ ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK5_SY170 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(202,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( ~ ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(203,plain,
! [SV142: mu > $i > mu > $i > $i,SV141: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV141 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) @ ( SV142 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) )
@ sK5_SY170 )
= $false )
| ( ( positive
@ ( SV141 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV142 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV141
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV142
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK5_SY170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(204,plain,
! [SV142: mu > $i > mu > $i > $i,SV141: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV141 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) @ ( SV142 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) )
@ sK5_SY170 )
= $false )
| ( ( positive
@ ( SV141 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV142 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV141
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV142
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(205,plain,
! [SV142: mu > $i > mu > $i > $i,SV141: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV141 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) @ ( SV142 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) )
@ sK5_SY170 )
= $false )
| ( ( positive
@ ( SV141 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV142 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV141
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV142
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK5_SY170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(206,plain,
! [SV142: mu > $i > mu > $i > $i,SV141: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV141 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) @ ( SV142 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 ) )
@ sK5_SY170 )
= $false )
| ( ( positive
@ ( SV141 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV142 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV141
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV142
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV141 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV142 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV141 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV142 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(208,plain,
! [SV36: mu > $i > $o] :
( ( ( SV36 @ sK2_SY157 @ sK1_SY97 )
= $false )
| ( ( SV36 @ sK2_SY157 @ sK1_SY97 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV36 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(209,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(210,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(211,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(212,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(214,plain,
! [SV117: mu > $i > $o] :
( ( ( SV117 @ sK6_SY173 @ sK5_SY170 )
= $false )
| ( ( SV117 @ sK6_SY173 @ sK5_SY170 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV117 @ SX0 @ SX1 )
@ sK5_SY170 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(215,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK5_SY170 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(216,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(217,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK5_SY170 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(218,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(220,plain,
! [SV36: mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV36 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( SV36 @ sK2_SY157 @ sK1_SY97 )
= $false )
| ( ( SV36 @ sK2_SY157 @ sK1_SY97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(221,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(222,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(223,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(224,plain,
! [SV51: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51
@ ( sK7_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK8_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV51 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV51 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( SV51 @ sK2_SY157 @ sK1_SY97
@ ( sK7_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK8_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV51 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(226,plain,
! [SV117: mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV117 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( SV117 @ sK6_SY173 @ sK5_SY170 )
= $false )
| ( ( SV117 @ sK6_SY173 @ sK5_SY170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(227,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK5_SY170 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(228,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(229,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK5_SY170
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK5_SY170 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK5_SY170
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(230,plain,
! [SV132: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132
@ ( sK11_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV132 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV132 @ sK6_SY173 @ sK5_SY170 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( SV132 @ sK6_SY173 @ sK5_SY170
@ ( sK11_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV132 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(231,plain,
! [SV27: mu > $i > $o] :
( ( ( SV27 @ sK2_SY157 @ sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV27 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(232,plain,
! [SV20: mu > $i > $o] :
( ( ( SV20 @ sK6_SY173 @ sK5_SY170 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV20 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(233,plain,
! [SV10: mu > $i > $o] :
( ( ( positive @ SV10 @ sK1_SY97 )
= $false )
| ( ( SV10 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(sim,[status(thm)],[147]) ).
thf(234,plain,
! [SV36: mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV36 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( SV36 @ sK2_SY157 @ sK1_SY97 )
= $false ) ),
inference(sim,[status(thm)],[220]) ).
thf(235,plain,
! [SV42: mu > $i > $i,SV41: mu > $i > mu > $i > $o] :
( ( ( positive @ ( SV41 @ sK2_SY157 @ sK1_SY97 ) @ ( SV42 @ sK2_SY157 @ sK1_SY97 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV41 @ SX0 @ SX1 ) @ ( SV42 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false ) ),
inference(sim,[status(thm)],[185]) ).
thf(236,plain,
! [SV13: $i,SV16: mu > $i > $o] :
( ( ( positive @ SV16 @ SV13 )
= $true )
| ( ( positive
@ ^ [SY200: mu,SY201: $i] :
~ ( SV16 @ SY200 @ SY201 )
@ SV13 )
= $true ) ),
inference(sim,[status(thm)],[141]) ).
thf(237,plain,
! [SV12: $i,SV15: mu > $i > $o] :
( ( ( positive
@ ^ [SY198: mu,SY199: $i] :
~ ( SV15 @ SY198 @ SY199 )
@ SV12 )
= $false )
| ( ( positive @ SV15 @ SV12 )
= $false ) ),
inference(sim,[status(thm)],[155]) ).
thf(238,plain,
! [SV17: mu > $i > $o] :
( ( ( positive @ SV17 @ sK5_SY170 )
= $false )
| ( ( SV17 @ sK6_SY173 @ sK5_SY170 )
= $true ) ),
inference(sim,[status(thm)],[151]) ).
thf(239,plain,
! [SV117: mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV117 @ SX0 @ SX1 )
@ sK5_SY170 )
= $false )
| ( ( SV117 @ sK6_SY173 @ sK5_SY170 )
= $false ) ),
inference(sim,[status(thm)],[226]) ).
thf(240,plain,
! [SV123: mu > $i > $i,SV122: mu > $i > mu > $i > $o] :
( ( ( positive @ ( SV122 @ sK6_SY173 @ sK5_SY170 ) @ ( SV123 @ sK6_SY173 @ sK5_SY170 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV122 @ SX0 @ SX1 ) @ ( SV123 @ SX0 @ SX1 ) )
@ sK5_SY170 )
= $false ) ),
inference(sim,[status(thm)],[197]) ).
thf(241,plain,
( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK1_SY97 )
= $false ),
inference(sim,[status(thm)],[106]) ).
thf(242,plain,
( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK5_SY170 )
= $false ),
inference(sim,[status(thm)],[109]) ).
thf(244,plain,
( ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= ( sK4_SY166 @ sK2_SY157 @ sK1_SY97 ) )
= $false ),
inference(res,[status(thm)],[102,77]) ).
thf(245,plain,
( ( ( sK5_SY170 = sK1_SY97 )
= $false )
| ( ( sK6_SY173 = sK2_SY157 )
= $false ) ),
inference(extuni,[status(esa)],[244]) ).
thf(248,plain,
! [SV194: mu > $i > $o] :
( ( ( positive @ SV194 @ sK1_SY97 )
= $false )
| ( ( SV194 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(rename,[status(thm)],[74]) ).
thf(250,plain,
! [SV194: mu > $i > $o,SV194: mu > $i > $o] :
( ( ( ( SV194 @ sK2_SY157 @ sK1_SY97 )
= ( positive @ SV194 @ sK1_SY97 ) )
= $false )
| ( ( positive @ SV194 @ sK1_SY97 )
= $false )
| ( ( SV194 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(res,[status(thm)],[248,248]) ).
thf(251,plain,
! [SV194: mu > $i > $o] :
( ( ( ( SV194 @ sK2_SY157 @ sK1_SY97 )
= ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK1_SY97 ) )
= $false )
| ( ( positive @ SV194 @ sK1_SY97 )
= $false ) ),
inference(res,[status(thm)],[248,241]) ).
thf(252,plain,
! [SV194: mu > $i > $o] :
( ( ( ( SV194 @ sK2_SY157 @ sK1_SY97 )
= ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) )
= $false )
| ( ( positive @ SV194 @ sK1_SY97 )
= $false ) ),
inference(res,[status(thm)],[248,102]) ).
thf(258,plain,
! [SV207: mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV207 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( ~ ( SV207 @ sK2_SY157 @ sK1_SY97 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[248:[bind(SV194,$thf( ^ [SV205: mu] : ^ [SV206: $i] : ~ ( SV207 @ SV205 @ SV206 ) ))]]) ).
thf(259,plain,
! [SV204: mu > $i > $o,SV203: mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( ( SV203 @ SX0 @ SX1 )
| ( SV204 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( ( SV203 @ sK2_SY157 @ sK1_SY97 )
| ( SV204 @ sK2_SY157 @ sK1_SY97 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[248:[bind(SV194,$thf( ^ [SV201: mu] : ^ [SV202: $i] : ( ( SV203 @ SV201 @ SV202 ) | ( SV204 @ SV201 @ SV202 ) ) ))]]) ).
thf(260,plain,
! [SV200: mu > $i > mu,SV199: mu > $i > mu] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( ( SV199 @ SX0 @ SX1 )
= ( SV200 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( ( SV199 @ sK2_SY157 @ sK1_SY97 )
= ( SV200 @ sK2_SY157 @ sK1_SY97 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[248:[bind(SV194,$thf( ^ [SV197: mu] : ^ [SV198: $i] : ( ( SV199 @ SV197 @ SV198 ) = ( SV200 @ SV197 @ SV198 ) ) ))]]) ).
thf(261,plain,
! [SV194: mu > $i > $o] :
( ( ( SV194 @ sK2_SY157 @ sK1_SY97 )
= $true )
| ( ( ( SV194 @ sK2_SY157 @ sK1_SY97 )
= ( ~ ( positive @ SV194 @ sK1_SY97 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[248]) ).
thf(262,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ( sK4_SY166 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( sK1_SY97 = sK5_SY170 )
= $false )
| ( ( sK2_SY157 = sK6_SY173 )
= $false ) ),
inference(extuni,[status(esa)],[252:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( sK4_SY166 @ SX0 @ SX1 ) ))]]) ).
thf(263,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ( sK4_SY166 @ SX0 @ sK5_SY170 )
@ sK1_SY97 )
= $false )
| ( ( sK2_SY157 = sK6_SY173 )
= $false ) ),
inference(extuni,[status(esa)],[252:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( sK4_SY166 @ SX0 @ sK5_SY170 ) ))]]) ).
thf(264,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ( sK4_SY166 @ sK6_SY173 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( sK1_SY97 = sK5_SY170 )
= $false ) ),
inference(extuni,[status(esa)],[252:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( sK4_SY166 @ sK6_SY173 @ SX1 ) ))]]) ).
thf(265,plain,
( ( positive
@ ^ [SX0: mu,SX1: $i] : ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
@ sK1_SY97 )
= $false ),
inference(extuni,[status(esa)],[252:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) ))]]) ).
thf(266,plain,
! [SV217: mu > $i > $i,SV216: mu > $i > mu] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ( sK4_SY166 @ ( SV216 @ SX0 @ SX1 ) @ ( SV217 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( sK4_SY166 @ ( SV216 @ sK2_SY157 @ sK1_SY97 ) @ ( SV217 @ sK2_SY157 @ sK1_SY97 ) )
= $true )
| ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $true ) ),
inference(extuni,[status(esa)],[252:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( sK4_SY166 @ ( SV216 @ SX0 @ SX1 ) @ ( SV217 @ SX0 @ SX1 ) ) ))]]) ).
thf(267,plain,
! [SV217: mu > $i > $i,SV216: mu > $i > mu] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ( sK4_SY166 @ ( SV216 @ SX0 @ SX1 ) @ ( SV217 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( sK4_SY166 @ ( SV216 @ sK2_SY157 @ sK1_SY97 ) @ ( SV217 @ sK2_SY157 @ sK1_SY97 ) )
= $false )
| ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false ) ),
inference(extuni,[status(esa)],[252:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( sK4_SY166 @ ( SV216 @ SX0 @ SX1 ) @ ( SV217 @ SX0 @ SX1 ) ) ))]]) ).
thf(268,plain,
( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ SX1 )
@ sK1_SY97 )
= $false ),
inference(extuni,[status(esa)],[251:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : $false @ SX1 ) ))]]) ).
thf(269,plain,
( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
@ sK1_SY97 )
= $false ),
inference(extuni,[status(esa)],[251:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : $false @ sK1_SY97 ) ))]]) ).
thf(270,plain,
! [SV235: mu > $i > $i,SV234: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ( positive @ ( SV234 @ SX0 @ SX1 ) @ ( SV235 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( positive @ ( SV234 @ sK2_SY157 @ sK1_SY97 ) @ ( SV235 @ sK2_SY157 @ sK1_SY97 ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK1_SY97 )
= $true ) ),
inference(extuni,[status(esa)],[251:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ( SV234 @ SX0 @ SX1 ) @ ( SV235 @ SX0 @ SX1 ) ) ))]]) ).
thf(271,plain,
! [SV235: mu > $i > $i,SV234: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ( positive @ ( SV234 @ SX0 @ SX1 ) @ ( SV235 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( positive @ ( SV234 @ sK2_SY157 @ sK1_SY97 ) @ ( SV235 @ sK2_SY157 @ sK1_SY97 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK1_SY97 )
= $false ) ),
inference(extuni,[status(esa)],[251:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ( SV234 @ SX0 @ SX1 ) @ ( SV235 @ SX0 @ SX1 ) ) ))]]) ).
thf(272,plain,
! [SV417: mu > $i > mu > $i > mu > $i > mu > $i > $o,SV277: mu > $i > mu > $i > mu > $i > $i,SV276: mu > $i > mu > $i > mu > $i > mu > $i > $o,SV416: mu > $i > mu > $i > mu > $i > $i] :
( ( ( ( sK20_E
@ ( SV416 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
@ ( SV417 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
= ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV276 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV277 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK20_E @ ( SV416 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV417 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) ) )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ SX1 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV276 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( SV277 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV276
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ ( sK20_E @ ( SV416 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV417 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ ( sK20_E @ ( SV416 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV417 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( sK20_E @ ( SV416 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV417 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( sK20_E @ ( SV416 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV417 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 )
@ ( SV277
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ ( sK20_E @ ( SV416 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV417 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ ( sK20_E @ ( SV416 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV417 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( sK20_E @ ( SV416 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV417 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( sK20_E @ ( SV416 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV417 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 ) )
@ ( sK20_E
@ ( SV416
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( SV417
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ^ [SX4: mu] : ^ [SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) @ ( sK20_E @ ( SV416 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV417 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) @ SX1 ) ))]]) ).
thf(273,plain,
! [SV277: mu > $i > mu > $i > mu > $i > $i,SV276: mu > $i > mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV276 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV277 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ SX1 )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 )
@ SX1 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV276 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( SV277 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV276
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 )
@ ( SV277
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ^ [SX4: mu] : ^ [SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) @ SX3 ) @ SX1 ) ))]]) ).
thf(274,plain,
! [SV277: mu > $i > mu > $i > mu > $i > $i,SV276: mu > $i > mu > $i > mu > $i > mu > $i > $o] :
( ( ( sK1_SY97
= ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV276 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV277 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ sK1_SY97 )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 )
@ SX1 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV276 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( SV277 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV276
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 )
@ ( SV277
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ^ [SX4: mu] : ^ [SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) @ SX1 ) @ SX1 ) ))]]) ).
thf(275,plain,
! [SV277: mu > $i > mu > $i > mu > $i > $i,SV276: mu > $i > mu > $i > mu > $i > mu > $i > $o] :
( ( ( ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
= sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV276 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV277 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ SX1 )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 )
@ sK1_SY97 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV276 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( SV277 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV276
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 )
@ ( SV277
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ^ [SX4: mu] : ^ [SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) @ SX3 ) @ sK1_SY97 ) ))]]) ).
thf(276,plain,
! [SV277: mu > $i > mu > $i > mu > $i > $i,SV276: mu > $i > mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV276 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV277 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ sK1_SY97 )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 )
@ sK1_SY97 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV276 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( SV277 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV276
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 )
@ ( SV277
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ^ [SX4: mu] : ^ [SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) @ SX1 ) @ sK1_SY97 ) ))]]) ).
thf(277,plain,
! [SV277: mu > $i > mu > $i > mu > $i > $i,SV276: mu > $i > mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV276 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV277 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ sK1_SY97 )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ sK1_SY97 )
@ sK1_SY97 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV276 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ sK1_SY97 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ sK1_SY97 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( SV277 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ sK1_SY97 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ sK1_SY97 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV276
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ sK1_SY97 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ sK1_SY97 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 )
@ ( SV277
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ sK1_SY97 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ sK1_SY97 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SY97 )
= $true ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ^ [SX4: mu] : ^ [SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) @ sK1_SY97 ) @ sK1_SY97 ) ))]]) ).
thf(278,plain,
! [SV455: mu > $i > mu > $i > mu > $i > mu > $i > $o,SV277: mu > $i > mu > $i > mu > $i > $i,SV276: mu > $i > mu > $i > mu > $i > mu > $i > $o,SV454: mu > $i > mu > $i > mu > $i > $i] :
( ( ( ( sK20_E
@ ( SV454 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
@ ( SV455 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) ) )
= ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV276 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV277 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK20_E @ ( SV454 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV455 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) ) )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ SX1 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV276 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( SV277 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV276
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ ( sK20_E @ ( SV454 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV455 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ ( sK20_E @ ( SV454 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV455 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( sK20_E @ ( SV454 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV455 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( sK20_E @ ( SV454 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV455 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 )
@ ( SV277
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ ( sK20_E @ ( SV454 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV455 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ ( sK20_E @ ( SV454 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV455 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( sK20_E @ ( SV454 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV455 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( sK20_E @ ( SV454 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV455 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 ) )
@ ( sK20_E
@ ( SV454
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( SV455
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ^ [SX4: mu] : ^ [SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) @ ( sK20_E @ ( SV454 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV455 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) @ SX1 ) ))]]) ).
thf(279,plain,
! [SV277: mu > $i > mu > $i > mu > $i > $i,SV276: mu > $i > mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV276 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV277 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ SX1 )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 )
@ SX1 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV276 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( SV277 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV276
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 )
@ ( SV277
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ^ [SX4: mu] : ^ [SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) @ SX3 ) @ SX1 ) ))]]) ).
thf(280,plain,
! [SV277: mu > $i > mu > $i > mu > $i > $i,SV276: mu > $i > mu > $i > mu > $i > mu > $i > $o] :
( ( ( sK1_SY97
= ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV276 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV277 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ sK1_SY97 )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 )
@ SX1 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV276 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( SV277 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV276
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 )
@ ( SV277
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ^ [SX4: mu] : ^ [SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) @ SX1 ) @ SX1 ) ))]]) ).
thf(281,plain,
! [SV277: mu > $i > mu > $i > mu > $i > $i,SV276: mu > $i > mu > $i > mu > $i > mu > $i > $o] :
( ( ( ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
= sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV276 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV277 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ SX1 )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 )
@ sK1_SY97 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV276 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( SV277 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV276
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 )
@ ( SV277
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX5 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX5
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX3
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ^ [SX4: mu] : ^ [SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) @ SX3 ) @ sK1_SY97 ) ))]]) ).
thf(282,plain,
! [SV277: mu > $i > mu > $i > mu > $i > $i,SV276: mu > $i > mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV276 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV277 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ sK1_SY97 )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 )
@ sK1_SY97 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV276 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( SV277 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : SX1
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV276
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 )
@ ( SV277
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ SX3 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : SX3
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ^ [SX4: mu] : ^ [SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) @ SX1 ) @ sK1_SY97 ) ))]]) ).
thf(283,plain,
! [SV277: mu > $i > mu > $i > mu > $i > $i,SV276: mu > $i > mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV276 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV277 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ sK1_SY97 )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ sK1_SY97 )
@ sK1_SY97 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV276 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ sK1_SY97 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ sK1_SY97 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) )
@ ( SV277 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ sK1_SY97 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
( positive
@ ^ [SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ sK1_SY97 ) )
@ ( sK21_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK22_E
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV276
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ sK1_SY97 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ sK1_SY97 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 )
@ ( SV277
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ sK1_SY97 ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
( positive
@ ^ [SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) )
@ sK1_SY97 ) )
@ ( sK21_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ ( sK22_E
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i,SX6: mu,SX7: $i] : ( positive @ ( SV276 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) @ ( SV277 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SY97 )
= $false ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ^ [SX4: mu] : ^ [SX5: $i] : ( positive @ ( SV276 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV277 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) @ sK1_SY97 ) @ sK1_SY97 ) ))]]) ).
thf(284,plain,
! [SV263: mu > $i > mu > $i > $i,SV262: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ( positive @ ( SV262 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV263 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ SX1 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV262 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV263 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV262
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV263
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).
thf(285,plain,
! [SV263: mu > $i > mu > $i > $i,SV262: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ( positive @ ( SV262 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV263 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ sK1_SY97 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV262 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV263 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV262
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV263
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SY97 )
= $true ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ sK1_SY97 ) ))]]) ).
thf(286,plain,
! [SV263: mu > $i > mu > $i > $i,SV262: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ( positive @ ( SV262 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV263 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ SX1 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV262 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV263 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV262
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV263
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).
thf(287,plain,
! [SV263: mu > $i > mu > $i > $i,SV262: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ( positive @ ( SV262 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV263 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ sK1_SY97 )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV262 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV263 @ sK2_SY157 @ sK1_SY97
@ ( sK19_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK20_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ( SV262
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV263
@ ( sK19_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK20_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] : ( positive @ ( SV262 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV263 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SY97 )
= $false ) ),
inference(extuni,[status(esa)],[250:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ( positive @ ( SV262 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV263 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ sK1_SY97 ) ))]]) ).
thf(290,plain,
! [SV509: mu > $i > mu > $i > $i,SV508: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ( SV508 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV509 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV508
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV509
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV508 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV509 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 ) )
= $true ) ),
inference(extuni,[status(esa)],[261:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).
thf(291,plain,
! [SV509: mu > $i > mu > $i > $i,SV508: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ( SV508 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV509 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV508
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV509
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SY97 )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV508 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV509 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 ) )
= $true ) ),
inference(extuni,[status(esa)],[261:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ sK1_SY97 ) ))]]) ).
thf(292,plain,
! [SV509: mu > $i > mu > $i > $i,SV508: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ( SV508 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV509 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV508
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV509
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV508 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV509 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 ) )
= $true ) ),
inference(extuni,[status(esa)],[261:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).
thf(293,plain,
! [SV509: mu > $i > mu > $i > $i,SV508: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ( SV508 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV509 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV508
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV509
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV508 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV509 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 ) )
= $true ) ),
inference(extuni,[status(esa)],[261:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ sK1_SY97 ) ))]]) ).
thf(294,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( ~ ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extuni,[status(esa)],[261:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ))]]) ).
thf(295,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( ~ ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extuni,[status(esa)],[261:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) @ sK1_SY97 ) ))]]) ).
thf(296,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( ~ ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extuni,[status(esa)],[261:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ))]]) ).
thf(297,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( ~ ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extuni,[status(esa)],[261:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) @ sK1_SY97 ) ))]]) ).
thf(299,plain,
! [SV490: mu > $i > $i,SV489: mu > $i > mu > $i > $o] :
( ( ( positive @ ( SV489 @ sK2_SY157 @ sK1_SY97 ) @ ( SV490 @ sK2_SY157 @ sK1_SY97 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV489 @ SX0 @ SX1 ) @ ( SV490 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( ~ ( positive @ ( SV489 @ sK2_SY157 @ sK1_SY97 ) @ ( SV490 @ sK2_SY157 @ sK1_SY97 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[261:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ( SV489 @ SX0 @ SX1 ) @ ( SV490 @ SX0 @ SX1 ) ) ))]]) ).
thf(300,plain,
! [SV484: mu > $i > $o] :
( ( ( ~ ( SV484 @ sK2_SY157 @ sK1_SY97 ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV484 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true )
| ( ( ~ ( SV484 @ sK2_SY157 @ sK1_SY97 ) )
= $true ) ),
inference(extuni,[status(esa)],[261:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( SV484 @ SX0 @ SX1 ) ))]]) ).
thf(302,plain,
! [SV207: mu > $i > $o] :
( ( ( SV207 @ sK2_SY157 @ sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV207 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(303,plain,
! [SV204: mu > $i > $o,SV203: mu > $i > $o] :
( ( ( SV203 @ sK2_SY157 @ sK1_SY97 )
= $true )
| ( ( SV204 @ sK2_SY157 @ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( ( SV203 @ SX0 @ SX1 )
| ( SV204 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(305,plain,
! [SV484: mu > $i > $o] :
( ( ( SV484 @ sK2_SY157 @ sK1_SY97 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV484 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true )
| ( ( ~ ( SV484 @ sK2_SY157 @ sK1_SY97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(306,plain,
! [SV490: mu > $i > $i,SV489: mu > $i > mu > $i > $o] :
( ( ( positive @ ( SV489 @ sK2_SY157 @ sK1_SY97 ) @ ( SV490 @ sK2_SY157 @ sK1_SY97 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV489 @ SX0 @ SX1 ) @ ( SV490 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( positive @ ( SV489 @ sK2_SY157 @ sK1_SY97 ) @ ( SV490 @ sK2_SY157 @ sK1_SY97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(308,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(309,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(310,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(311,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(312,plain,
! [SV509: mu > $i > mu > $i > $i,SV508: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV508 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV509 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV508
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV509
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ( SV508 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV509 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(313,plain,
! [SV509: mu > $i > mu > $i > $i,SV508: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV508 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV509 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV508
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV509
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( positive
@ ( SV508 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV509 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(314,plain,
! [SV509: mu > $i > mu > $i > $i,SV508: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV508 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV509 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV508
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV509
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SY97 )
= $true )
| ( ( positive
@ ( SV508 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV509 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(315,plain,
! [SV509: mu > $i > mu > $i > $i,SV508: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV508 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) @ ( SV509 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV508
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV509
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV508 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV509 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( positive
@ ( SV508 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV509 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV508 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV509 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(317,plain,
! [SV484: mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV484 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( SV484 @ sK2_SY157 @ sK1_SY97 )
= $false )
| ( ( ~ ( SV484 @ sK2_SY157 @ sK1_SY97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(318,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 )
= $true )
| ( ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(319,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(320,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 )
= $false )
| ( ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(321,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(323,plain,
! [SV484: mu > $i > $o] :
( ( ( SV484 @ sK2_SY157 @ sK1_SY97 )
= $false )
| ( ( SV484 @ sK2_SY157 @ sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV484 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(324,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(325,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(326,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : sK1_SY97
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : sK1_SY97
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SY97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(327,plain,
! [SV499: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499 @ sK2_SY157 @ sK1_SY97 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false )
| ( ( SV499 @ sK2_SY157 @ sK1_SY97
@ ( sK33_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV499
@ ( sK33_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK34_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV499 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK34_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV499 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(328,plain,
! [SV484: mu > $i > $o] :
( ( ( SV484 @ sK2_SY157 @ sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV484 @ SX0 @ SX1 )
@ sK1_SY97 )
= $false ) ),
inference(sim,[status(thm)],[323]) ).
thf(329,plain,
! [SV490: mu > $i > $i,SV489: mu > $i > mu > $i > $o] :
( ( ( positive @ ( SV489 @ sK2_SY157 @ sK1_SY97 ) @ ( SV490 @ sK2_SY157 @ sK1_SY97 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV489 @ SX0 @ SX1 ) @ ( SV490 @ SX0 @ SX1 ) )
@ sK1_SY97 )
= $false ) ),
inference(sim,[status(thm)],[306]) ).
thf(339,plain,
! [SV561: $i,SV562: mu > $i > $o] :
( ( ( positive @ SV562 @ SV561 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV562 @ SX0 @ SX1 )
@ SV561 )
= $true ) ),
inference(rename,[status(thm)],[90]) ).
thf(340,plain,
! [SV561: $i,SV562: mu > $i > $o] :
( ( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV562 @ SX0 @ SX1 )
@ SV561 )
= ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ SX1 )
@ sK1_SY97 ) )
= $false )
| ( ( positive @ SV562 @ SV561 )
= $true ) ),
inference(res,[status(thm)],[339,268]) ).
thf(341,plain,
! [SV561: $i,SV562: mu > $i > $o] :
( ( ( ( positive @ SV562 @ SV561 )
= ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ SX1 )
@ sK1_SY97 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV562 @ SX0 @ SX1 )
@ SV561 )
= $true ) ),
inference(res,[status(thm)],[339,268]) ).
thf(342,plain,
! [SV561: $i,SV562: mu > $i > $o] :
( ( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV562 @ SX0 @ SX1 )
@ SV561 )
= ( positive
@ ^ [SX0: mu,SX1: $i] : ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
@ sK1_SY97 ) )
= $false )
| ( ( positive @ SV562 @ SV561 )
= $true ) ),
inference(res,[status(thm)],[339,265]) ).
thf(343,plain,
! [SV561: $i,SV562: mu > $i > $o] :
( ( ( ( positive @ SV562 @ SV561 )
= ( positive
@ ^ [SX0: mu,SX1: $i] : ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
@ sK1_SY97 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV562 @ SX0 @ SX1 )
@ SV561 )
= $true ) ),
inference(res,[status(thm)],[339,265]) ).
thf(344,plain,
! [SV561: $i,SV562: mu > $i > $o,SV194: mu > $i > $o] :
( ( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV562 @ SX0 @ SX1 )
@ SV561 )
= ( positive @ SV194 @ sK1_SY97 ) )
= $false )
| ( ( positive @ SV562 @ SV561 )
= $true )
| ( ( SV194 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(res,[status(thm)],[339,248]) ).
thf(345,plain,
! [SV561: $i,SV562: mu > $i > $o,SV194: mu > $i > $o] :
( ( ( ( positive @ SV562 @ SV561 )
= ( positive @ SV194 @ sK1_SY97 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV562 @ SX0 @ SX1 )
@ SV561 )
= $true )
| ( ( SV194 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(res,[status(thm)],[339,248]) ).
thf(346,plain,
! [SV561: $i,SV562: mu > $i > $o] :
( ( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV562 @ SX0 @ SX1 )
@ SV561 )
= ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK5_SY170 ) )
= $false )
| ( ( positive @ SV562 @ SV561 )
= $true ) ),
inference(res,[status(thm)],[339,242]) ).
thf(347,plain,
! [SV561: $i,SV562: mu > $i > $o] :
( ( ( ( positive @ SV562 @ SV561 )
= ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK5_SY170 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV562 @ SX0 @ SX1 )
@ SV561 )
= $true ) ),
inference(res,[status(thm)],[339,242]) ).
thf(348,plain,
! [SV561: $i,SV562: mu > $i > $o] :
( ( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV562 @ SX0 @ SX1 )
@ SV561 )
= ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK1_SY97 ) )
= $false )
| ( ( positive @ SV562 @ SV561 )
= $true ) ),
inference(res,[status(thm)],[339,241]) ).
thf(349,plain,
! [SV561: $i,SV562: mu > $i > $o] :
( ( ( ( positive @ SV562 @ SV561 )
= ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK1_SY97 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV562 @ SX0 @ SX1 )
@ SV561 )
= $true ) ),
inference(res,[status(thm)],[339,241]) ).
thf(353,plain,
( ( positive
@ ^ [SX0: mu,SX1: $i] : ~ $false
@ sK1_SY97 )
= $true ),
inference(extuni,[status(esa)],[349:[bind(SV561,$thf( sK1_SY97 )),bind(SV562,$thf( ^ [SX0: mu] : ^ [SX1: $i] : $false ))]]) ).
thf(354,plain,
! [SV562: mu > $i > $o] :
( ( ( positive @ SV562 @ sK1_SY97 )
= $true )
| ( ( ~ ( SV562 @ ( sK62_E @ sK1_SY97 @ SV562 ) @ ( sK63_E @ sK1_SY97 @ SV562 ) ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[348:[bind(SV561,$thf( sK1_SY97 ))]]) ).
thf(356,plain,
( ( positive
@ ^ [SX0: mu,SX1: $i] : ~ $false
@ sK5_SY170 )
= $true ),
inference(extuni,[status(esa)],[347:[bind(SV561,$thf( sK5_SY170 )),bind(SV562,$thf( ^ [SX0: mu] : ^ [SX1: $i] : $false ))]]) ).
thf(357,plain,
! [SV562: mu > $i > $o] :
( ( ( positive @ SV562 @ sK5_SY170 )
= $true )
| ( ( ~ ( SV562 @ ( sK64_E @ sK5_SY170 @ SV562 ) @ ( sK65_E @ sK5_SY170 @ SV562 ) ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[346:[bind(SV561,$thf( sK5_SY170 ))]]) ).
thf(359,plain,
! [SV194: mu > $i > $o] :
( ( ( SV194 @ sK2_SY157 @ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV194 @ SX0 @ SX1 )
@ sK1_SY97 )
= $true ) ),
inference(extuni,[status(esa)],[345:[bind(SV561,$thf( sK1_SY97 )),bind(SV562,$thf( SV194 ))]]) ).
thf(360,plain,
! [SV562: mu > $i > $o] :
( ( ( ~ ( SV562 @ sK2_SY157 @ sK1_SY97 ) )
= $true )
| ( ( positive @ SV562 @ sK1_SY97 )
= $true ) ),
inference(extuni,[status(esa)],[344:[bind(SV561,$thf( sK1_SY97 )),bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( SV562 @ SX0 @ SX1 ) ))]]) ).
thf(361,plain,
( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
@ sK1_SY97 )
= $true ),
inference(extuni,[status(esa)],[343:[bind(SV561,$thf( sK1_SY97 )),bind(SV562,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) ))]]) ).
thf(362,plain,
! [SV562: mu > $i > $o] :
( ( ( positive @ SV562 @ sK1_SY97 )
= $true )
| ( ( ~ ( SV562 @ ( sK66_E @ sK1_SY97 @ SV562 ) @ ( sK67_E @ sK1_SY97 @ SV562 ) ) )
= $true )
| ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $true ) ),
inference(extuni,[status(esa)],[342:[bind(SV561,$thf( sK1_SY97 ))]]) ).
thf(363,plain,
! [SV562: mu > $i > $o] :
( ( ( positive @ SV562 @ sK1_SY97 )
= $true )
| ( ( ~ ( SV562 @ ( sK66_E @ sK1_SY97 @ SV562 ) @ ( sK67_E @ sK1_SY97 @ SV562 ) ) )
= $false )
| ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false ) ),
inference(extuni,[status(esa)],[342:[bind(SV561,$thf( sK1_SY97 ))]]) ).
thf(364,plain,
( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ SX1 )
@ sK1_SY97 )
= $true ),
inference(extuni,[status(esa)],[341:[bind(SV561,$thf( sK1_SY97 )),bind(SV562,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : $false @ SX1 ) ))]]) ).
thf(365,plain,
! [SV562: mu > $i > $o] :
( ( ( positive @ SV562 @ sK1_SY97 )
= $true )
| ( ( ~ ( SV562 @ ( sK68_E @ sK1_SY97 @ SV562 ) @ ( sK69_E @ sK1_SY97 @ SV562 ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ ( sK69_E @ sK1_SY97 @ SV562 ) )
= $true ) ),
inference(extuni,[status(esa)],[340:[bind(SV561,$thf( sK1_SY97 ))]]) ).
thf(366,plain,
! [SV562: mu > $i > $o] :
( ( ( positive @ SV562 @ sK1_SY97 )
= $true )
| ( ( ~ ( SV562 @ ( sK68_E @ sK1_SY97 @ SV562 ) @ ( sK69_E @ sK1_SY97 @ SV562 ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ ( sK69_E @ sK1_SY97 @ SV562 ) )
= $false ) ),
inference(extuni,[status(esa)],[340:[bind(SV561,$thf( sK1_SY97 ))]]) ).
thf(368,plain,
! [SV562: mu > $i > $o] :
( ( ( SV562 @ ( sK62_E @ sK1_SY97 @ SV562 ) @ ( sK63_E @ sK1_SY97 @ SV562 ) )
= $false )
| ( ( positive @ SV562 @ sK1_SY97 )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(370,plain,
! [SV562: mu > $i > $o] :
( ( ( SV562 @ ( sK64_E @ sK5_SY170 @ SV562 ) @ ( sK65_E @ sK5_SY170 @ SV562 ) )
= $false )
| ( ( positive @ SV562 @ sK5_SY170 )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(371,plain,
! [SV562: mu > $i > $o] :
( ( ( SV562 @ sK2_SY157 @ sK1_SY97 )
= $false )
| ( ( positive @ SV562 @ sK1_SY97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(372,plain,
! [SV562: mu > $i > $o] :
( ( ( SV562 @ ( sK66_E @ sK1_SY97 @ SV562 ) @ ( sK67_E @ sK1_SY97 @ SV562 ) )
= $true )
| ( ( positive @ SV562 @ sK1_SY97 )
= $true )
| ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(373,plain,
! [SV562: mu > $i > $o] :
( ( ( SV562 @ ( sK66_E @ sK1_SY97 @ SV562 ) @ ( sK67_E @ sK1_SY97 @ SV562 ) )
= $false )
| ( ( positive @ SV562 @ sK1_SY97 )
= $true )
| ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(374,plain,
! [SV562: mu > $i > $o] :
( ( ( SV562 @ ( sK68_E @ sK1_SY97 @ SV562 ) @ ( sK69_E @ sK1_SY97 @ SV562 ) )
= $true )
| ( ( positive @ SV562 @ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ ( sK69_E @ sK1_SY97 @ SV562 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(375,plain,
! [SV562: mu > $i > $o] :
( ( ( SV562 @ ( sK68_E @ sK1_SY97 @ SV562 ) @ ( sK69_E @ sK1_SY97 @ SV562 ) )
= $false )
| ( ( positive @ SV562 @ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ ( sK69_E @ sK1_SY97 @ SV562 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(376,plain,
! [SV562: mu > $i > $o] :
( ( ( SV562 @ ( sK62_E @ sK1_SY97 @ SV562 ) @ ( sK63_E @ sK1_SY97 @ SV562 ) )
= $false )
| ( ( positive @ SV562 @ sK1_SY97 )
= $true ) ),
inference(sim,[status(thm)],[368]) ).
thf(377,plain,
! [SV562: mu > $i > $o] :
( ( ( SV562 @ ( sK64_E @ sK5_SY170 @ SV562 ) @ ( sK65_E @ sK5_SY170 @ SV562 ) )
= $false )
| ( ( positive @ SV562 @ sK5_SY170 )
= $true ) ),
inference(sim,[status(thm)],[370]) ).
thf(378,plain,
! [SV561: $i,SV562: mu > $i > $o] :
( ( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
@ sK1_SY97 )
= ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV562 @ SX0 @ SX1 )
@ SV561 ) )
= $false )
| ( ( positive @ SV562 @ SV561 )
= $true ) ),
inference(res,[status(thm)],[269,339]) ).
thf(379,plain,
! [SV561: $i,SV562: mu > $i > $o] :
( ( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
@ sK1_SY97 )
= ( positive @ SV562 @ SV561 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV562 @ SX0 @ SX1 )
@ SV561 )
= $true ) ),
inference(res,[status(thm)],[269,339]) ).
thf(383,plain,
( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
@ sK1_SY97 )
= $true ),
inference(extuni,[status(esa)],[379:[bind(SV561,$thf( sK1_SY97 )),bind(SV562,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : $false @ sK1_SY97 ) ))]]) ).
thf(384,plain,
! [SV562: mu > $i > $o] :
( ( ( positive @ SV562 @ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK1_SY97 )
= $true )
| ( ( ~ ( SV562 @ ( sK88_E @ sK1_SY97 @ SV562 ) @ ( sK89_E @ sK1_SY97 @ SV562 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[378:[bind(SV561,$thf( sK1_SY97 ))]]) ).
thf(385,plain,
! [SV562: mu > $i > $o] :
( ( ( positive @ SV562 @ sK1_SY97 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK1_SY97 )
= $false )
| ( ( ~ ( SV562 @ ( sK88_E @ sK1_SY97 @ SV562 ) @ ( sK89_E @ sK1_SY97 @ SV562 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[378:[bind(SV561,$thf( sK1_SY97 ))]]) ).
thf(386,plain,
! [SV562: mu > $i > $o] :
( ( ( SV562 @ ( sK88_E @ sK1_SY97 @ SV562 ) @ ( sK89_E @ sK1_SY97 @ SV562 ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK1_SY97 )
= $false )
| ( ( positive @ SV562 @ sK1_SY97 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(387,plain,
! [SV562: mu > $i > $o] :
( ( ( SV562 @ ( sK88_E @ sK1_SY97 @ SV562 ) @ ( sK89_E @ sK1_SY97 @ SV562 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK1_SY97 )
= $true )
| ( ( positive @ SV562 @ sK1_SY97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(388,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ~ $false
@ sK1_SY97 )
= ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
@ sK1_SY97 ) )
= $false ),
inference(res,[status(thm)],[353,269]) ).
thf(389,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ~ $false
@ sK1_SY97 )
= ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ SX1 )
@ sK1_SY97 ) )
= $false ),
inference(res,[status(thm)],[353,268]) ).
thf(390,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ~ $false
@ sK1_SY97 )
= ( positive
@ ^ [SX0: mu,SX1: $i] : ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
@ sK1_SY97 ) )
= $false ),
inference(res,[status(thm)],[353,265]) ).
thf(401,plain,
( ( ( ~ $false ) = $false )
| ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false ) ),
inference(extuni,[status(esa)],[390]) ).
thf(403,plain,
( ( ( ~ $false ) = $false )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK99_E )
= $false ) ),
inference(extuni,[status(esa)],[389]) ).
thf(405,plain,
( ( ( ~ $false ) = $false )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
= $false ) ),
inference(extuni,[status(esa)],[388]) ).
thf(411,plain,
( ( $false = $true )
| ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(413,plain,
( ( $false = $true )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK99_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(415,plain,
( ( $false = $true )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(417,plain,
( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false ),
inference(sim,[status(thm)],[411]) ).
thf(418,plain,
( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK99_E )
= $false ),
inference(sim,[status(thm)],[413]) ).
thf(419,plain,
( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
= $false ),
inference(sim,[status(thm)],[415]) ).
thf(420,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ~ $false
@ sK5_SY170 )
= ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
@ sK1_SY97 ) )
= $false ),
inference(res,[status(thm)],[356,269]) ).
thf(421,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ~ $false
@ sK5_SY170 )
= ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ SX1 )
@ sK1_SY97 ) )
= $false ),
inference(res,[status(thm)],[356,268]) ).
thf(422,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : ~ $false
@ sK5_SY170 )
= ( positive
@ ^ [SX0: mu,SX1: $i] : ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
@ sK1_SY97 ) )
= $false ),
inference(res,[status(thm)],[356,265]) ).
thf(433,plain,
( ( ( sK5_SY170 = sK1_SY97 )
= $false )
| ( ( ~ $false ) = $false )
| ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false ) ),
inference(extuni,[status(esa)],[422]) ).
thf(435,plain,
( ( ( sK5_SY170 = sK1_SY97 )
= $false )
| ( ( ~ $false ) = $false )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK113_E )
= $false ) ),
inference(extuni,[status(esa)],[421]) ).
thf(437,plain,
( ( ( sK5_SY170 = sK1_SY97 )
= $false )
| ( ( ~ $false ) = $false )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
= $false ) ),
inference(extuni,[status(esa)],[420]) ).
thf(443,plain,
( ( $false = $true )
| ( ( sK5_SY170 = sK1_SY97 )
= $false )
| ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(445,plain,
( ( $false = $true )
| ( ( sK5_SY170 = sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK113_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(447,plain,
( ( $false = $true )
| ( ( sK5_SY170 = sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(449,plain,
( ( ( sK5_SY170 = sK1_SY97 )
= $false )
| ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false ) ),
inference(sim,[status(thm)],[443]) ).
thf(450,plain,
( ( ( sK5_SY170 = sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK113_E )
= $false ) ),
inference(sim,[status(thm)],[445]) ).
thf(451,plain,
( ( ( sK5_SY170 = sK1_SY97 )
= $false )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
= $false ) ),
inference(sim,[status(thm)],[447]) ).
thf(452,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
@ sK1_SY97 )
= ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
@ sK1_SY97 ) )
= $false ),
inference(res,[status(thm)],[361,269]) ).
thf(453,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
@ sK1_SY97 )
= ( positive
@ ^ [SX0: mu,SX1: $i] :
( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ SX1 )
@ sK1_SY97 ) )
= $false ),
inference(res,[status(thm)],[361,268]) ).
thf(455,plain,
! [SV194: mu > $i > $o] :
( ( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
@ sK1_SY97 )
= ( positive @ SV194 @ sK1_SY97 ) )
= $false )
| ( ( SV194 @ sK2_SY157 @ sK1_SY97 )
= $true ) ),
inference(res,[status(thm)],[361,248]) ).
thf(456,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
@ sK1_SY97 )
= ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK5_SY170 ) )
= $false ),
inference(res,[status(thm)],[361,242]) ).
thf(457,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
@ sK1_SY97 )
= ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK1_SY97 ) )
= $false ),
inference(res,[status(thm)],[361,241]) ).
thf(459,plain,
( ( ( ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[457]) ).
thf(461,plain,
( ( ( sK1_SY97 = sK5_SY170 )
= $false )
| ( ( ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[456]) ).
thf(463,plain,
( ( ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) )
= $true ),
inference(extuni,[status(esa)],[455:[bind(SV194,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) ))]]) ).
thf(466,plain,
( ( ( ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) )
= $true )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK131_E )
= $true ) ),
inference(extuni,[status(esa)],[453]) ).
thf(467,plain,
( ( ( ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) )
= $false )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK131_E )
= $false ) ),
inference(extuni,[status(esa)],[453]) ).
thf(468,plain,
( ( ( ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) )
= $true )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
= $true ) ),
inference(extuni,[status(esa)],[452]) ).
thf(469,plain,
( ( ( ~ ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 ) )
= $false )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
= $false ) ),
inference(extuni,[status(esa)],[452]) ).
thf(471,plain,
( ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(473,plain,
( ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false )
| ( ( sK1_SY97 = sK5_SY170 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(474,plain,
( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(477,plain,
( ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $true )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK131_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(478,plain,
( ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK131_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(479,plain,
( ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $true )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(480,plain,
( ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false )
| ( ( positive
@ ^ [SX2: mu,SX3: $i] : $false
@ sK1_SY97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(481,plain,
( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false ),
inference(sim,[status(thm)],[471]) ).
thf(482,plain,
( ( ( sK4_SY166 @ sK6_SY173 @ sK5_SY170 )
= $false )
| ( ( sK1_SY97 = sK5_SY170 )
= $false ) ),
inference(sim,[status(thm)],[473]) ).
thf(483,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[77,482,481,480,479,478,477,474,451,450,449,419,418,417,387,386,383,377,376,375,374,373,372,371,364,361,359,356,353,339,329,328,327,326,325,324,315,314,313,312,303,302,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,260,248,245,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,224,223,222,221,206,205,204,203,194,193,192,191,104,102,96,93,91]) ).
thf(484,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[483,56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI004^2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 13:53:28 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 110.93/18.87
% 110.93/18.87 No.of.Axioms: 2
% 110.93/18.87
% 110.93/18.87 Length.of.Defs: 3894
% 110.93/18.87
% 110.93/18.87 Contains.Choice.Funs: false
% 110.93/18.87 ....................eprover: CPU time limit exceeded, terminating
% 110.93/18.87 ....
% 110.93/18.87
% 110.93/18.87 ********************************
% 110.93/18.87 * All subproblems solved! *
% 110.93/18.87 ********************************
% 110.93/18.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:483,loop_count:15,foatp_calls:5,translation:fof_experiment)
% 110.93/18.87
% 110.93/18.87 %**** Beginning of derivation protocol ****
% 110.93/18.87 % SZS output start CNFRefutation
% See solution above
% 110.93/18.88
% 110.93/18.88 %**** End of derivation protocol ****
% 110.93/18.88 %**** no. of clauses in derivation: 362 ****
% 110.93/18.88 %**** clause counter: 483 ****
% 110.93/18.88
% 110.93/18.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:483,loop_count:15,foatp_calls:5,translation:fof_experiment)
%------------------------------------------------------------------------------