TSTP Solution File: PHI004^1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PHI004^1 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 16:47:18 EDT 2022
% Result : Theorem 29.68s 29.91s
% Output : CNFRefutation 29.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 74
% Syntax : Number of formulae : 283 ( 64 unt; 43 typ; 25 def)
% Number of atoms : 1751 ( 493 equ; 0 cnn)
% Maximal formula atoms : 10 ( 7 avg)
% Number of connectives : 4598 ( 644 ~; 475 |; 4 &;3472 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 782 ( 782 >; 0 *; 0 +; 0 <<)
% Number of symbols : 45 ( 42 usr; 8 con; 0-3 aty)
% Number of variables : 1637 (1238 ^ 395 !; 4 ?;1637 :)
% 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_necessary_existence,type,
necessary_existence: mu > $i > $o ).
thf(tp_positive,type,
positive: ( mu > $i > $o ) > $i > $o ).
thf(tp_rel,type,
rel: $i > $i > $o ).
thf(tp_sK10_SY52,type,
sK10_SY52: mu ).
thf(tp_sK11_SY54,type,
sK11_SY54: mu ).
thf(tp_sK12_E,type,
sK12_E: ( mu > $i > $i ) > ( mu > $i > mu > $i > $o ) > mu ).
thf(tp_sK13_E,type,
sK13_E: ( mu > $i > $i ) > ( mu > $i > mu > $i > $o ) > $i ).
thf(tp_sK14_E,type,
sK14_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $o ) > mu ).
thf(tp_sK15_E,type,
sK15_E: ( mu > $i > mu > $i > $i ) > ( mu > $i > $i ) > ( mu > $i > mu > $i > mu > $i > $o ) > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY22,type,
sK2_SY22: mu ).
thf(tp_sK3_SY38,type,
sK3_SY38: mu > $i > $o ).
thf(tp_sK4_SY43,type,
sK4_SY43: ( mu > $i > $o ) > ( mu > $i > $o ) > $i > $i ).
thf(tp_sK5_SY39,type,
sK5_SY39: mu > $i > $o ).
thf(tp_sK6_SY39,type,
sK6_SY39: mu > $i > $o ).
thf(tp_sK7_SY45,type,
sK7_SY45: $i > ( mu > $i > $o ) > ( mu > $i > $o ) > mu ).
thf(tp_sK8_SY46,type,
sK8_SY46: $i ).
thf(tp_sK9_SY49,type,
sK9_SY49: $i ).
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',essence) ).
thf(god,definition,
( god
= ( ^ [X: mu] :
( mforall_indset
@ ^ [Phi: mu > $i > $o] : ( mimplies @ ( positive @ Phi ) @ ( Phi @ X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',god) ).
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(necessary_existence,definition,
( necessary_existence
= ( ^ [X: mu] :
( mforall_indset
@ ^ [Phi: mu > $i > $o] :
( mimplies @ ( essence @ Phi @ X )
@ ( mbox
@ ( mexists_ind
@ ^ [Y: mu] : ( Phi @ Y ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',necessary_existence) ).
thf(1,axiom,
mvalid @ ( positive @ necessary_existence ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axA5) ).
thf(2,axiom,
( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] : ( mimplies @ ( positive @ Phi ) @ ( mbox @ ( positive @ Phi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axA4) ).
thf(3,axiom,
mvalid @ ( positive @ god ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axA3) ).
thf(4,axiom,
( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] :
( mforall_indset
@ ^ [Psi: mu > $i > $o] :
( mimplies
@ ( mand @ ( positive @ Phi )
@ ( mbox
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( Phi @ X ) @ ( Psi @ X ) ) ) ) )
@ ( positive @ Psi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axA2) ).
thf(5,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(6,conjecture,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( god @ X ) @ ( essence @ god @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thmT2) ).
thf(7,negated_conjecture,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( god @ X ) @ ( essence @ god @ X ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,plain,
( ( ~ ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( god @ X ) @ ( essence @ god @ X ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] :
( mequiv
@ ( positive
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) )
@ ( mnot @ ( positive @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(10,plain,
( ( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] :
( mforall_indset
@ ^ [Psi: mu > $i > $o] :
( mimplies
@ ( mand @ ( positive @ Phi )
@ ( mbox
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( Phi @ X ) @ ( Psi @ X ) ) ) ) )
@ ( positive @ Psi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(11,plain,
( ( mvalid @ ( positive @ god ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(12,plain,
( ( mvalid
@ ( mforall_indset
@ ^ [Phi: mu > $i > $o] : ( mimplies @ ( positive @ Phi ) @ ( mbox @ ( positive @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(13,plain,
( ( mvalid @ ( positive @ necessary_existence ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(14,plain,
( ( ~ ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( god @ X ) @ ( essence @ god @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(15,plain,
( ( ~ ! [SX0: $i,SX1: mu] :
( ~ ! [SX2: mu > $i > $o] :
( ~ ( positive @ SX2 @ SX0 )
| ( SX2 @ SX1 @ SX0 ) )
| ~ ( ~ ! [SX2: mu > $i > $o] :
( ~ ( positive @ SX2 @ SX0 )
| ( SX2 @ SX1 @ SX0 ) )
| ~ ! [SX2: mu > $i > $o] :
( ~ ( SX2 @ SX1 @ SX0 )
| ! [SX3: $i] :
( ~ ( rel @ SX0 @ SX3 )
| ! [SX4: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SX3 )
| ( SX5 @ SX4 @ SX3 ) )
| ( SX2 @ SX4 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,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,necessary_existence]) ).
thf(16,plain,
( ( ! [SX0: $i] :
( positive
@ ^ [SX1: mu,SX2: $i] :
! [SX3: mu > $i > $o] :
( ~ ~ ( ~ ( SX3 @ SX1 @ SX2 )
| ~ ! [SX4: mu > $i > $o] :
( ~ ( SX4 @ SX1 @ SX2 )
| ! [SX5: $i] :
( ~ ( rel @ SX2 @ SX5 )
| ! [SX6: mu] :
( ~ ( SX3 @ SX6 @ SX5 )
| ( SX4 @ SX6 @ SX5 ) ) ) ) )
| ! [SX4: $i] :
( ~ ( rel @ SX2 @ SX4 )
| ~ ! [SX5: mu] :
~ ( SX3 @ SX5 @ SX4 ) ) )
@ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[13,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,necessary_existence]) ).
thf(17,plain,
( ( ! [SX0: $i,SX1: mu > $i > $o] :
( ~ ( positive @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( rel @ SX0 @ SX2 )
| ( positive @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,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,necessary_existence]) ).
thf(18,plain,
( ( ! [SX0: $i,SX1: mu > $i > $o] :
~ ( ~ ( ~ ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 )
| ~ ( positive @ SX1 @ SX0 ) )
| ~ ( ~ ~ ( positive @ SX1 @ SX0 )
| ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SX1 @ SX2 @ SX3 )
@ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,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,necessary_existence]) ).
thf(19,plain,
( ( ! [SX0: $i] :
( positive
@ ^ [SX1: mu,SX2: $i] :
! [SX3: mu > $i > $o] :
( ~ ( positive @ SX3 @ SX2 )
| ( SX3 @ SX1 @ SX2 ) )
@ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[11,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,necessary_existence]) ).
thf(20,plain,
( ( ! [SX0: $i,SX1: mu > $i > $o,SX2: mu > $i > $o] :
( ~ ~ ( ~ ( positive @ SX1 @ SX0 )
| ~ ! [SX3: $i] :
( ~ ( rel @ SX0 @ SX3 )
| ! [SX4: mu] :
( ~ ( SX1 @ SX4 @ SX3 )
| ( SX2 @ SX4 @ SX3 ) ) ) )
| ( positive @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,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,necessary_existence]) ).
thf(21,plain,
( ( ! [SX0: $i,SX1: mu] :
( ~ ! [SX2: mu > $i > $o] :
( ~ ( positive @ SX2 @ SX0 )
| ( SX2 @ SX1 @ SX0 ) )
| ~ ( ~ ! [SX2: mu > $i > $o] :
( ~ ( positive @ SX2 @ SX0 )
| ( SX2 @ SX1 @ SX0 ) )
| ~ ! [SX2: mu > $i > $o] :
( ~ ( SX2 @ SX1 @ SX0 )
| ! [SX3: $i] :
( ~ ( rel @ SX0 @ SX3 )
| ! [SX4: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SX3 )
| ( SX5 @ SX4 @ SX3 ) )
| ( SX2 @ SX4 @ SX3 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(22,plain,
! [SV1: $i] :
( ( positive
@ ^ [SX1: mu,SX2: $i] :
! [SX3: mu > $i > $o] :
( ~ ~ ( ~ ( SX3 @ SX1 @ SX2 )
| ~ ! [SX4: mu > $i > $o] :
( ~ ( SX4 @ SX1 @ SX2 )
| ! [SX5: $i] :
( ~ ( rel @ SX2 @ SX5 )
| ! [SX6: mu] :
( ~ ( SX3 @ SX6 @ SX5 )
| ( SX4 @ SX6 @ SX5 ) ) ) ) )
| ! [SX4: $i] :
( ~ ( rel @ SX2 @ SX4 )
| ~ ! [SX5: mu] :
~ ( SX3 @ SX5 @ SX4 ) ) )
@ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(23,plain,
! [SV2: $i] :
( ( ! [SY8: mu > $i > $o] :
( ~ ( positive @ SY8 @ SV2 )
| ! [SY9: $i] :
( ~ ( rel @ SV2 @ SY9 )
| ( positive @ SY8 @ SY9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(24,plain,
! [SV3: $i] :
( ( ! [SY10: mu > $i > $o] :
~ ( ~ ( ~ ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SY10 @ SX2 @ SX3 )
@ SV3 )
| ~ ( positive @ SY10 @ SV3 ) )
| ~ ( ~ ~ ( positive @ SY10 @ SV3 )
| ( positive
@ ^ [SX2: mu,SX3: $i] :
~ ( SY10 @ SX2 @ SX3 )
@ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(25,plain,
! [SV4: $i] :
( ( positive
@ ^ [SX1: mu,SX2: $i] :
! [SX3: mu > $i > $o] :
( ~ ( positive @ SX3 @ SX2 )
| ( SX3 @ SX1 @ SX2 ) )
@ SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(26,plain,
! [SV5: $i] :
( ( ! [SY18: mu > $i > $o,SY19: mu > $i > $o] :
( ~ ~ ( ~ ( positive @ SY18 @ SV5 )
| ~ ! [SY20: $i] :
( ~ ( rel @ SV5 @ SY20 )
| ! [SX4: mu] :
( ~ ( SY18 @ SX4 @ SY20 )
| ( SY19 @ SX4 @ SY20 ) ) ) )
| ( positive @ SY19 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(27,plain,
( ( ! [SY22: mu] :
( ~ ! [SY23: mu > $i > $o] :
( ~ ( positive @ SY23 @ sK1_SX0 )
| ( SY23 @ SY22 @ sK1_SX0 ) )
| ~ ( ~ ! [SY24: mu > $i > $o] :
( ~ ( positive @ SY24 @ sK1_SX0 )
| ( SY24 @ SY22 @ sK1_SX0 ) )
| ~ ! [SY25: mu > $i > $o] :
( ~ ( SY25 @ SY22 @ sK1_SX0 )
| ! [SY26: $i] :
( ~ ( rel @ sK1_SX0 @ SY26 )
| ! [SX4: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY26 )
| ( SX5 @ SX4 @ SY26 ) )
| ( SY25 @ SX4 @ SY26 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(28,plain,
! [SV2: $i,SV6: mu > $i > $o] :
( ( ~ ( positive @ SV6 @ SV2 )
| ! [SY29: $i] :
( ~ ( rel @ SV2 @ SY29 )
| ( positive @ SV6 @ SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(29,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ~ ( ~ ( ~ ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
| ~ ( positive @ SV7 @ SV3 ) )
| ~ ( ~ ~ ( positive @ SV7 @ SV3 )
| ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(30,plain,
! [SV5: $i,SV8: mu > $i > $o] :
( ( ! [SY34: mu > $i > $o] :
( ~ ~ ( ~ ( positive @ SV8 @ SV5 )
| ~ ! [SY35: $i] :
( ~ ( rel @ SV5 @ SY35 )
| ! [SY36: mu] :
( ~ ( SV8 @ SY36 @ SY35 )
| ( SY34 @ SY36 @ SY35 ) ) ) )
| ( positive @ SY34 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ ! [SY37: mu > $i > $o] :
( ~ ( positive @ SY37 @ sK1_SX0 )
| ( SY37 @ sK2_SY22 @ sK1_SX0 ) )
| ~ ( ~ ! [SY38: mu > $i > $o] :
( ~ ( positive @ SY38 @ sK1_SX0 )
| ( SY38 @ sK2_SY22 @ sK1_SX0 ) )
| ~ ! [SY39: mu > $i > $o] :
( ~ ( SY39 @ sK2_SY22 @ sK1_SX0 )
| ! [SY26: $i] :
( ~ ( rel @ sK1_SX0 @ SY26 )
| ! [SX4: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY26 )
| ( SX5 @ SX4 @ SY26 ) )
| ( SY39 @ SX4 @ SY26 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[27]) ).
thf(32,plain,
! [SV2: $i,SV6: mu > $i > $o] :
( ( ( ~ ( positive @ SV6 @ SV2 ) )
= $true )
| ( ( ! [SY29: $i] :
( ~ ( rel @ SV2 @ SY29 )
| ( positive @ SV6 @ SY29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ~ ( ~ ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
| ~ ( positive @ SV7 @ SV3 ) )
| ~ ( ~ ~ ( positive @ SV7 @ SV3 )
| ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ~ ~ ( ~ ( positive @ SV8 @ SV5 )
| ~ ! [SY43: $i] :
( ~ ( rel @ SV5 @ SY43 )
| ! [SY44: mu] :
( ~ ( SV8 @ SY44 @ SY43 )
| ( SV9 @ SY44 @ SY43 ) ) ) )
| ( positive @ SV9 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(35,plain,
( ( ~ ! [SY37: mu > $i > $o] :
( ~ ( positive @ SY37 @ sK1_SX0 )
| ( SY37 @ sK2_SY22 @ sK1_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
( ( ~ ( ~ ! [SY38: mu > $i > $o] :
( ~ ( positive @ SY38 @ sK1_SX0 )
| ( SY38 @ sK2_SY22 @ sK1_SX0 ) )
| ~ ! [SY39: mu > $i > $o] :
( ~ ( SY39 @ sK2_SY22 @ sK1_SX0 )
| ! [SY26: $i] :
( ~ ( rel @ sK1_SX0 @ SY26 )
| ! [SX4: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY26 )
| ( SX5 @ SX4 @ SY26 ) )
| ( SY39 @ SX4 @ SY26 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(37,plain,
! [SV2: $i,SV6: mu > $i > $o] :
( ( ( positive @ SV6 @ SV2 )
= $false )
| ( ( ! [SY29: $i] :
( ~ ( rel @ SV2 @ SY29 )
| ( positive @ SV6 @ SY29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ~ ( ~ ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
| ~ ( positive @ SV7 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(39,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ~ ( ~ ~ ( positive @ SV7 @ SV3 )
| ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(40,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( ~ ~ ( ~ ( positive @ SV8 @ SV5 )
| ~ ! [SY43: $i] :
( ~ ( rel @ SV5 @ SY43 )
| ! [SY44: mu] :
( ~ ( SV8 @ SY44 @ SY43 )
| ( SV9 @ SY44 @ SY43 ) ) ) ) )
= $true )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(41,plain,
( ( ! [SY37: mu > $i > $o] :
( ~ ( positive @ SY37 @ sK1_SX0 )
| ( SY37 @ sK2_SY22 @ sK1_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(42,plain,
( ( ~ ! [SY38: mu > $i > $o] :
( ~ ( positive @ SY38 @ sK1_SX0 )
| ( SY38 @ sK2_SY22 @ sK1_SX0 ) )
| ~ ! [SY39: mu > $i > $o] :
( ~ ( SY39 @ sK2_SY22 @ sK1_SX0 )
| ! [SY26: $i] :
( ~ ( rel @ sK1_SX0 @ SY26 )
| ! [SX4: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY26 )
| ( SX5 @ SX4 @ SY26 ) )
| ( SY39 @ SX4 @ SY26 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(43,plain,
! [SV6: mu > $i > $o,SV10: $i,SV2: $i] :
( ( ( ~ ( rel @ SV2 @ SV10 )
| ( positive @ SV6 @ SV10 ) )
= $true )
| ( ( positive @ SV6 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ~ ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
| ~ ( positive @ SV7 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(45,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ~ ~ ( positive @ SV7 @ SV3 )
| ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(46,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( ~ ( ~ ( positive @ SV8 @ SV5 )
| ~ ! [SY43: $i] :
( ~ ( rel @ SV5 @ SY43 )
| ! [SY44: mu] :
( ~ ( SV8 @ SY44 @ SY43 )
| ( SV9 @ SY44 @ SY43 ) ) ) ) )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(47,plain,
! [SV11: mu > $i > $o] :
( ( ~ ( positive @ SV11 @ sK1_SX0 )
| ( SV11 @ sK2_SY22 @ sK1_SX0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(48,plain,
( ( ( ~ ! [SY38: mu > $i > $o] :
( ~ ( positive @ SY38 @ sK1_SX0 )
| ( SY38 @ sK2_SY22 @ sK1_SX0 ) ) )
= $true )
| ( ( ~ ! [SY39: mu > $i > $o] :
( ~ ( SY39 @ sK2_SY22 @ sK1_SX0 )
| ! [SY26: $i] :
( ~ ( rel @ sK1_SX0 @ SY26 )
| ! [SX4: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY26 )
| ( SX5 @ SX4 @ SY26 ) )
| ( SY39 @ SX4 @ SY26 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV6: mu > $i > $o,SV10: $i,SV2: $i] :
( ( ( ~ ( rel @ SV2 @ SV10 ) )
= $true )
| ( ( positive @ SV6 @ SV10 )
= $true )
| ( ( positive @ SV6 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 ) )
= $true )
| ( ( ~ ( positive @ SV7 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( ~ ~ ( positive @ SV7 @ SV3 ) )
= $true )
| ( ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( ~ ( positive @ SV8 @ SV5 )
| ~ ! [SY43: $i] :
( ~ ( rel @ SV5 @ SY43 )
| ! [SY44: mu] :
( ~ ( SV8 @ SY44 @ SY43 )
| ( SV9 @ SY44 @ SY43 ) ) ) )
= $true )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(53,plain,
! [SV11: mu > $i > $o] :
( ( ( ~ ( positive @ SV11 @ sK1_SX0 ) )
= $true )
| ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(54,plain,
( ( ( ! [SY38: mu > $i > $o] :
( ~ ( positive @ SY38 @ sK1_SX0 )
| ( SY38 @ sK2_SY22 @ sK1_SX0 ) ) )
= $false )
| ( ( ~ ! [SY39: mu > $i > $o] :
( ~ ( SY39 @ sK2_SY22 @ sK1_SX0 )
| ! [SY26: $i] :
( ~ ( rel @ sK1_SX0 @ SY26 )
| ! [SX4: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY26 )
| ( SX5 @ SX4 @ SY26 ) )
| ( SY39 @ SX4 @ SY26 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(55,plain,
! [SV6: mu > $i > $o,SV10: $i,SV2: $i] :
( ( ( rel @ SV2 @ SV10 )
= $false )
| ( ( positive @ SV6 @ SV10 )
= $true )
| ( ( positive @ SV6 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
= $false )
| ( ( ~ ( positive @ SV7 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( ~ ( positive @ SV7 @ SV3 ) )
= $false )
| ( ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( ~ ( positive @ SV8 @ SV5 ) )
= $true )
| ( ( ~ ! [SY43: $i] :
( ~ ( rel @ SV5 @ SY43 )
| ! [SY44: mu] :
( ~ ( SV8 @ SY44 @ SY43 )
| ( SV9 @ SY44 @ SY43 ) ) ) )
= $true )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV11: mu > $i > $o] :
( ( ( positive @ SV11 @ sK1_SX0 )
= $false )
| ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(60,plain,
( ( ( ~ ( positive @ sK3_SY38 @ sK1_SX0 )
| ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 ) )
= $false )
| ( ( ~ ! [SY39: mu > $i > $o] :
( ~ ( SY39 @ sK2_SY22 @ sK1_SX0 )
| ! [SY26: $i] :
( ~ ( rel @ sK1_SX0 @ SY26 )
| ! [SX4: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY26 )
| ( SX5 @ SX4 @ SY26 ) )
| ( SY39 @ SX4 @ SY26 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[54]) ).
thf(61,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( positive @ SV7 @ SV3 )
= $false )
| ( ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(62,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( positive @ SV7 @ SV3 )
= $true )
| ( ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(63,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( ~ ! [SY43: $i] :
( ~ ( rel @ SV5 @ SY43 )
| ! [SY44: mu] :
( ~ ( SV8 @ SY44 @ SY43 )
| ( SV9 @ SY44 @ SY43 ) ) ) )
= $true )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(64,plain,
( ( ( ~ ( positive @ sK3_SY38 @ sK1_SX0 ) )
= $false )
| ( ( ~ ! [SY39: mu > $i > $o] :
( ~ ( SY39 @ sK2_SY22 @ sK1_SX0 )
| ! [SY26: $i] :
( ~ ( rel @ sK1_SX0 @ SY26 )
| ! [SX4: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY26 )
| ( SX5 @ SX4 @ SY26 ) )
| ( SY39 @ SX4 @ SY26 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(65,plain,
( ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ! [SY39: mu > $i > $o] :
( ~ ( SY39 @ sK2_SY22 @ sK1_SX0 )
| ! [SY26: $i] :
( ~ ( rel @ sK1_SX0 @ SY26 )
| ! [SX4: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY26 )
| ( SX5 @ SX4 @ SY26 ) )
| ( SY39 @ SX4 @ SY26 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(66,plain,
! [SV9: mu > $i > $o,SV8: mu > $i > $o,SV5: $i] :
( ( ( ! [SY43: $i] :
( ~ ( rel @ SV5 @ SY43 )
| ! [SY44: mu] :
( ~ ( SV8 @ SY44 @ SY43 )
| ( SV9 @ SY44 @ SY43 ) ) ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(67,plain,
( ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true )
| ( ( ~ ! [SY39: mu > $i > $o] :
( ~ ( SY39 @ sK2_SY22 @ sK1_SX0 )
| ! [SY26: $i] :
( ~ ( rel @ sK1_SX0 @ SY26 )
| ! [SX4: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY26 )
| ( SX5 @ SX4 @ SY26 ) )
| ( SY39 @ SX4 @ SY26 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(68,plain,
( ( ( ! [SY39: mu > $i > $o] :
( ~ ( SY39 @ sK2_SY22 @ sK1_SX0 )
| ! [SY26: $i] :
( ~ ( rel @ sK1_SX0 @ SY26 )
| ! [SX4: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY26 )
| ( SX5 @ SX4 @ SY26 ) )
| ( SY39 @ SX4 @ SY26 ) ) ) ) )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(69,plain,
! [SV8: mu > $i > $o,SV9: mu > $i > $o,SV5: $i] :
( ( ( ~ ( rel @ SV5 @ ( sK4_SY43 @ SV9 @ SV8 @ SV5 ) )
| ! [SY45: mu] :
( ~ ( SV8 @ SY45 @ ( sK4_SY43 @ SV9 @ SV8 @ SV5 ) )
| ( SV9 @ SY45 @ ( sK4_SY43 @ SV9 @ SV8 @ SV5 ) ) ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[66]) ).
thf(70,plain,
( ( ( ! [SY39: mu > $i > $o] :
( ~ ( SY39 @ sK2_SY22 @ sK1_SX0 )
| ! [SY26: $i] :
( ~ ( rel @ sK1_SX0 @ SY26 )
| ! [SX4: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY26 )
| ( SX5 @ SX4 @ SY26 ) )
| ( SY39 @ SX4 @ SY26 ) ) ) ) )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(71,plain,
( ( ( ~ ( sK5_SY39 @ sK2_SY22 @ sK1_SX0 )
| ! [SY46: $i] :
( ~ ( rel @ sK1_SX0 @ SY46 )
| ! [SY47: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY46 )
| ( SX5 @ SY47 @ SY46 ) )
| ( sK5_SY39 @ SY47 @ SY46 ) ) ) )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[68]) ).
thf(72,plain,
! [SV8: mu > $i > $o,SV9: mu > $i > $o,SV5: $i] :
( ( ( ~ ( rel @ SV5 @ ( sK4_SY43 @ SV9 @ SV8 @ SV5 ) ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(73,plain,
! [SV5: $i,SV9: mu > $i > $o,SV8: mu > $i > $o] :
( ( ( ! [SY45: mu] :
( ~ ( SV8 @ SY45 @ ( sK4_SY43 @ SV9 @ SV8 @ SV5 ) )
| ( SV9 @ SY45 @ ( sK4_SY43 @ SV9 @ SV8 @ SV5 ) ) ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(74,plain,
( ( ( ~ ( sK6_SY39 @ sK2_SY22 @ sK1_SX0 )
| ! [SY49: $i] :
( ~ ( rel @ sK1_SX0 @ SY49 )
| ! [SY50: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY49 )
| ( SX5 @ SY50 @ SY49 ) )
| ( sK6_SY39 @ SY50 @ SY49 ) ) ) )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[70]) ).
thf(75,plain,
( ( ( ~ ( sK5_SY39 @ sK2_SY22 @ sK1_SX0 ) )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(76,plain,
( ( ( ! [SY46: $i] :
( ~ ( rel @ sK1_SX0 @ SY46 )
| ! [SY47: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY46 )
| ( SX5 @ SY47 @ SY46 ) )
| ( sK5_SY39 @ SY47 @ SY46 ) ) ) )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(77,plain,
! [SV8: mu > $i > $o,SV9: mu > $i > $o,SV5: $i] :
( ( ( rel @ SV5 @ ( sK4_SY43 @ SV9 @ SV8 @ SV5 ) )
= $true )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(78,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( ~ ( SV8 @ ( sK7_SY45 @ SV5 @ SV9 @ SV8 ) @ ( sK4_SY43 @ SV9 @ SV8 @ SV5 ) )
| ( SV9 @ ( sK7_SY45 @ SV5 @ SV9 @ SV8 ) @ ( sK4_SY43 @ SV9 @ SV8 @ SV5 ) ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[73]) ).
thf(79,plain,
( ( ( ~ ( sK6_SY39 @ sK2_SY22 @ sK1_SX0 ) )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(80,plain,
( ( ( ! [SY49: $i] :
( ~ ( rel @ sK1_SX0 @ SY49 )
| ! [SY50: mu] :
( ~ ! [SX5: mu > $i > $o] :
( ~ ( positive @ SX5 @ SY49 )
| ( SX5 @ SY50 @ SY49 ) )
| ( sK6_SY39 @ SY50 @ SY49 ) ) ) )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(81,plain,
( ( ( sK5_SY39 @ sK2_SY22 @ sK1_SX0 )
= $true )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(82,plain,
( ( ( ~ ( rel @ sK1_SX0 @ sK8_SY46 )
| ! [SY52: mu] :
( ~ ! [SY53: mu > $i > $o] :
( ~ ( positive @ SY53 @ sK8_SY46 )
| ( SY53 @ SY52 @ sK8_SY46 ) )
| ( sK5_SY39 @ SY52 @ sK8_SY46 ) ) )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[76]) ).
thf(83,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( ~ ( SV8 @ ( sK7_SY45 @ SV5 @ SV9 @ SV8 ) @ ( sK4_SY43 @ SV9 @ SV8 @ SV5 ) ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(84,plain,
! [SV8: mu > $i > $o,SV5: $i,SV9: mu > $i > $o] :
( ( ( SV9 @ ( sK7_SY45 @ SV5 @ SV9 @ SV8 ) @ ( sK4_SY43 @ SV9 @ SV8 @ SV5 ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(85,plain,
( ( ( sK6_SY39 @ sK2_SY22 @ sK1_SX0 )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(86,plain,
( ( ( ~ ( rel @ sK1_SX0 @ sK9_SY49 )
| ! [SY54: mu] :
( ~ ! [SY55: mu > $i > $o] :
( ~ ( positive @ SY55 @ sK9_SY49 )
| ( SY55 @ SY54 @ sK9_SY49 ) )
| ( sK6_SY39 @ SY54 @ sK9_SY49 ) ) )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[80]) ).
thf(87,plain,
( ( ( ~ ( rel @ sK1_SX0 @ sK8_SY46 ) )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(88,plain,
( ( ( ! [SY52: mu] :
( ~ ! [SY53: mu > $i > $o] :
( ~ ( positive @ SY53 @ sK8_SY46 )
| ( SY53 @ SY52 @ sK8_SY46 ) )
| ( sK5_SY39 @ SY52 @ sK8_SY46 ) ) )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(89,plain,
! [SV9: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( SV8 @ ( sK7_SY45 @ SV5 @ SV9 @ SV8 ) @ ( sK4_SY43 @ SV9 @ SV8 @ SV5 ) )
= $true )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(90,plain,
( ( ( ~ ( rel @ sK1_SX0 @ sK9_SY49 ) )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(91,plain,
( ( ( ! [SY54: mu] :
( ~ ! [SY55: mu > $i > $o] :
( ~ ( positive @ SY55 @ sK9_SY49 )
| ( SY55 @ SY54 @ sK9_SY49 ) )
| ( sK6_SY39 @ SY54 @ sK9_SY49 ) ) )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(92,plain,
( ( ( rel @ sK1_SX0 @ sK8_SY46 )
= $true )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(93,plain,
( ( ( ~ ! [SY56: mu > $i > $o] :
( ~ ( positive @ SY56 @ sK8_SY46 )
| ( SY56 @ sK10_SY52 @ sK8_SY46 ) )
| ( sK5_SY39 @ sK10_SY52 @ sK8_SY46 ) )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[88]) ).
thf(94,plain,
( ( ( rel @ sK1_SX0 @ sK9_SY49 )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(95,plain,
( ( ( ~ ! [SY57: mu > $i > $o] :
( ~ ( positive @ SY57 @ sK9_SY49 )
| ( SY57 @ sK11_SY54 @ sK9_SY49 ) )
| ( sK6_SY39 @ sK11_SY54 @ sK9_SY49 ) )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[91]) ).
thf(96,plain,
( ( ( ~ ! [SY56: mu > $i > $o] :
( ~ ( positive @ SY56 @ sK8_SY46 )
| ( SY56 @ sK10_SY52 @ sK8_SY46 ) ) )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(97,plain,
( ( ( sK5_SY39 @ sK10_SY52 @ sK8_SY46 )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(98,plain,
( ( ( ~ ! [SY57: mu > $i > $o] :
( ~ ( positive @ SY57 @ sK9_SY49 )
| ( SY57 @ sK11_SY54 @ sK9_SY49 ) ) )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(99,plain,
( ( ( sK6_SY39 @ sK11_SY54 @ sK9_SY49 )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(100,plain,
( ( ( ! [SY56: mu > $i > $o] :
( ~ ( positive @ SY56 @ sK8_SY46 )
| ( SY56 @ sK10_SY52 @ sK8_SY46 ) ) )
= $true )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(101,plain,
( ( ( ! [SY57: mu > $i > $o] :
( ~ ( positive @ SY57 @ sK9_SY49 )
| ( SY57 @ sK11_SY54 @ sK9_SY49 ) ) )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(102,plain,
! [SV12: mu > $i > $o] :
( ( ( ~ ( positive @ SV12 @ sK8_SY46 )
| ( SV12 @ sK10_SY52 @ sK8_SY46 ) )
= $true )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(103,plain,
! [SV13: mu > $i > $o] :
( ( ( ~ ( positive @ SV13 @ sK9_SY49 )
| ( SV13 @ sK11_SY54 @ sK9_SY49 ) )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(104,plain,
! [SV12: mu > $i > $o] :
( ( ( ~ ( positive @ SV12 @ sK8_SY46 ) )
= $true )
| ( ( SV12 @ sK10_SY52 @ sK8_SY46 )
= $true )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(105,plain,
! [SV13: mu > $i > $o] :
( ( ( ~ ( positive @ SV13 @ sK9_SY49 ) )
= $true )
| ( ( SV13 @ sK11_SY54 @ sK9_SY49 )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(106,plain,
! [SV12: mu > $i > $o] :
( ( ( positive @ SV12 @ sK8_SY46 )
= $false )
| ( ( SV12 @ sK10_SY52 @ sK8_SY46 )
= $true )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(107,plain,
! [SV13: mu > $i > $o] :
( ( ( positive @ SV13 @ sK9_SY49 )
= $false )
| ( ( SV13 @ sK11_SY54 @ sK9_SY49 )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(109,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK1_SX0 )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[59:[bind(SV11,$thf( ^ [SV45: mu] : ^ [SV46: $i] : $false ))]]) ).
thf(110,plain,
! [SV44: mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV44 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( ~ ( SV44 @ sK2_SY22 @ sK1_SX0 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[59:[bind(SV11,$thf( ^ [SV42: mu] : ^ [SV43: $i] : ~ ( SV44 @ SV42 @ SV43 ) ))]]) ).
thf(111,plain,
! [SV9: mu > $i > $o,SV5: $i] :
( ( ( rel @ SV5
@ ( sK4_SY43 @ SV9
@ ^ [SX0: mu,SX1: $i] : $true
@ SV5 ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $true
@ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[77:[bind(SV8,$thf( ^ [SV33: mu] : ^ [SV34: $i] : $true ))]]) ).
thf(112,plain,
! [SV9: mu > $i > $o,SV5: $i] :
( ( ( rel @ SV5
@ ( sK4_SY43 @ SV9
@ ^ [SX0: mu,SX1: $i] : $false
@ SV5 ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[77:[bind(SV8,$thf( ^ [SV31: mu] : ^ [SV32: $i] : $false ))]]) ).
thf(113,plain,
! [SV30: mu > $i > $o,SV9: mu > $i > $o,SV5: $i] :
( ( ( rel @ SV5
@ ( sK4_SY43 @ SV9
@ ^ [SX0: mu,SX1: $i] :
~ ( SV30 @ SX0 @ SX1 )
@ SV5 ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV30 @ SX0 @ SX1 )
@ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[77:[bind(SV8,$thf( ^ [SV28: mu] : ^ [SV29: $i] : ~ ( SV30 @ SV28 @ SV29 ) ))]]) ).
thf(114,plain,
! [SV8: mu > $i > $o,SV5: $i] :
( ( ( rel @ SV5
@ ( sK4_SY43
@ ^ [SX0: mu,SX1: $i] : $true
@ SV8
@ SV5 ) )
= $true )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $true
@ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[77:[bind(SV9,$thf( ^ [SV40: mu] : ^ [SV41: $i] : $true ))]]) ).
thf(115,plain,
! [SV8: mu > $i > $o,SV5: $i] :
( ( ( rel @ SV5
@ ( sK4_SY43
@ ^ [SX0: mu,SX1: $i] : $false
@ SV8
@ SV5 ) )
= $true )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[77:[bind(SV9,$thf( ^ [SV38: mu] : ^ [SV39: $i] : $false ))]]) ).
thf(116,plain,
! [SV8: mu > $i > $o,SV37: mu > $i > $o,SV5: $i] :
( ( ( rel @ SV5
@ ( sK4_SY43
@ ^ [SX0: mu,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 )
@ SV8
@ SV5 ) )
= $true )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 )
@ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[77:[bind(SV9,$thf( ^ [SV35: mu] : ^ [SV36: $i] : ~ ( SV37 @ SV35 @ SV36 ) ))]]) ).
thf(117,plain,
! [SV5: $i,SV9: mu > $i > $o] :
( ( ( SV9
@ ( sK7_SY45 @ SV5 @ SV9
@ ^ [SX0: mu,SX1: $i] : $true )
@ ( sK4_SY43 @ SV9
@ ^ [SX0: mu,SX1: $i] : $true
@ SV5 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $true
@ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[84:[bind(SV8,$thf( ^ [SV33: mu] : ^ [SV34: $i] : $true ))]]) ).
thf(118,plain,
! [SV5: $i,SV9: mu > $i > $o] :
( ( ( SV9
@ ( sK7_SY45 @ SV5 @ SV9
@ ^ [SX0: mu,SX1: $i] : $false )
@ ( sK4_SY43 @ SV9
@ ^ [SX0: mu,SX1: $i] : $false
@ SV5 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[84:[bind(SV8,$thf( ^ [SV31: mu] : ^ [SV32: $i] : $false ))]]) ).
thf(119,plain,
! [SV30: mu > $i > $o,SV5: $i,SV9: mu > $i > $o] :
( ( ( SV9
@ ( sK7_SY45 @ SV5 @ SV9
@ ^ [SX0: mu,SX1: $i] :
~ ( SV30 @ SX0 @ SX1 ) )
@ ( sK4_SY43 @ SV9
@ ^ [SX0: mu,SX1: $i] :
~ ( SV30 @ SX0 @ SX1 )
@ SV5 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV30 @ SX0 @ SX1 )
@ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[84:[bind(SV8,$thf( ^ [SV28: mu] : ^ [SV29: $i] : ~ ( SV30 @ SV28 @ SV29 ) ))]]) ).
thf(120,plain,
! [SV5: $i,SV8: mu > $i > $o] :
( ( $true = $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $true
@ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[84:[bind(SV9,$thf( ^ [SV40: mu] : ^ [SV41: $i] : $true ))]]) ).
thf(122,plain,
! [SV8: mu > $i > $o,SV5: $i,SV37: mu > $i > $o] :
( ( ( ~ ( SV37
@ ( sK7_SY45 @ SV5
@ ^ [SX0: mu,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 )
@ SV8 )
@ ( sK4_SY43
@ ^ [SX0: mu,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 )
@ SV8
@ SV5 ) ) )
= $false )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 )
@ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[84:[bind(SV9,$thf( ^ [SV35: mu] : ^ [SV36: $i] : ~ ( SV37 @ SV35 @ SV36 ) ))]]) ).
thf(124,plain,
! [SV9: mu > $i > $o,SV5: $i] :
( ( $false = $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[89:[bind(SV8,$thf( ^ [SV31: mu] : ^ [SV32: $i] : $false ))]]) ).
thf(125,plain,
! [SV9: mu > $i > $o,SV5: $i,SV30: mu > $i > $o] :
( ( ( ~ ( SV30
@ ( sK7_SY45 @ SV5 @ SV9
@ ^ [SX0: mu,SX1: $i] :
~ ( SV30 @ SX0 @ SX1 ) )
@ ( sK4_SY43 @ SV9
@ ^ [SX0: mu,SX1: $i] :
~ ( SV30 @ SX0 @ SX1 )
@ SV5 ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV30 @ SX0 @ SX1 )
@ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[89:[bind(SV8,$thf( ^ [SV28: mu] : ^ [SV29: $i] : ~ ( SV30 @ SV28 @ SV29 ) ))]]) ).
thf(126,plain,
! [SV5: $i,SV8: mu > $i > $o] :
( ( ( SV8
@ ( sK7_SY45 @ SV5
@ ^ [SX0: mu,SX1: $i] : $true
@ SV8 )
@ ( sK4_SY43
@ ^ [SX0: mu,SX1: $i] : $true
@ SV8
@ SV5 ) )
= $true )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $true
@ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[89:[bind(SV9,$thf( ^ [SV40: mu] : ^ [SV41: $i] : $true ))]]) ).
thf(127,plain,
! [SV5: $i,SV8: mu > $i > $o] :
( ( ( SV8
@ ( sK7_SY45 @ SV5
@ ^ [SX0: mu,SX1: $i] : $false
@ SV8 )
@ ( sK4_SY43
@ ^ [SX0: mu,SX1: $i] : $false
@ SV8
@ SV5 ) )
= $true )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[89:[bind(SV9,$thf( ^ [SV38: mu] : ^ [SV39: $i] : $false ))]]) ).
thf(128,plain,
! [SV37: mu > $i > $o,SV5: $i,SV8: mu > $i > $o] :
( ( ( SV8
@ ( sK7_SY45 @ SV5
@ ^ [SX0: mu,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 )
@ SV8 )
@ ( sK4_SY43
@ ^ [SX0: mu,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 )
@ SV8
@ SV5 ) )
= $true )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 )
@ SV5 )
= $true ) ),
inference(prim_subst,[status(thm)],[89:[bind(SV9,$thf( ^ [SV35: mu] : ^ [SV36: $i] : ~ ( SV37 @ SV35 @ SV36 ) ))]]) ).
thf(130,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK8_SY46 )
= $false )
| ( $false = $true )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[106:[bind(SV12,$thf( ^ [SV24: mu] : ^ [SV25: $i] : $false ))]]) ).
thf(131,plain,
! [SV23: mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 )
@ sK8_SY46 )
= $false )
| ( ( ~ ( SV23 @ sK10_SY52 @ sK8_SY46 ) )
= $true )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(prim_subst,[status(thm)],[106:[bind(SV12,$thf( ^ [SV21: mu] : ^ [SV22: $i] : ~ ( SV23 @ SV21 @ SV22 ) ))]]) ).
thf(133,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK9_SY49 )
= $false )
| ( $false = $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[107:[bind(SV13,$thf( ^ [SV17: mu] : ^ [SV18: $i] : $false ))]]) ).
thf(134,plain,
! [SV16: mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV16 @ SX0 @ SX1 )
@ sK9_SY49 )
= $false )
| ( ( ~ ( SV16 @ sK11_SY54 @ sK9_SY49 ) )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[107:[bind(SV13,$thf( ^ [SV14: mu] : ^ [SV15: $i] : ~ ( SV16 @ SV14 @ SV15 ) ))]]) ).
thf(135,plain,
! [SV11: mu > $i > $o] :
( ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
= $true )
| ( ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
= ( ~ ( positive @ SV11 @ sK1_SX0 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[59]) ).
thf(136,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
= $false )
| ( ( ( positive @ SV7 @ SV3 )
= ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[61]) ).
thf(137,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 )
= $true )
| ( ( ( positive @ SV7 @ SV3 )
= ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[62]) ).
thf(138,plain,
( ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true )
| ( ( ( sK6_SY39 @ sK2_SY22 @ sK1_SX0 )
= ( positive @ sK3_SY38 @ sK1_SX0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[85]) ).
thf(139,plain,
( ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true )
| ( ( ( rel @ sK1_SX0 @ sK9_SY49 )
= ( positive @ sK3_SY38 @ sK1_SX0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[94]) ).
thf(140,plain,
( ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false )
| ( ( ( sK5_SY39 @ sK10_SY52 @ sK8_SY46 )
= ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[97]) ).
thf(141,plain,
! [SV11: mu > $i > $o] :
( ( ( ~ ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
| ~ ( positive @ SV11 @ sK1_SX0 ) )
| ~ ( ~ ( SV11 @ sK2_SY22 @ sK1_SX0 )
| ~ ~ ( positive @ SV11 @ sK1_SX0 ) ) )
= $false )
| ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[135]) ).
thf(142,plain,
! [SV11: mu > $i > $o] :
( ( ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
= ( ~ ( positive @ SV11 @ sK1_SX0 ) ) )
= $false )
| ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[135]) ).
thf(143,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( ~ ( ( positive @ SV7 @ SV3 )
| ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 ) )
| ~ ( ~ ( positive @ SV7 @ SV3 )
| ~ ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 ) ) )
= $false )
| ( ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[136]) ).
thf(145,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( ~ ( ( positive @ SV7 @ SV3 )
| ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 ) )
| ~ ( ~ ( positive @ SV7 @ SV3 )
| ~ ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 ) ) )
= $false )
| ( ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[137]) ).
thf(147,plain,
( ( ( ~ ( ( sK6_SY39 @ sK2_SY22 @ sK1_SX0 )
| ( positive @ sK3_SY38 @ sK1_SX0 ) )
| ~ ( ~ ( sK6_SY39 @ sK2_SY22 @ sK1_SX0 )
| ~ ( positive @ sK3_SY38 @ sK1_SX0 ) ) )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[138]) ).
thf(149,plain,
( ( ( ~ ( ( rel @ sK1_SX0 @ sK9_SY49 )
| ( positive @ sK3_SY38 @ sK1_SX0 ) )
| ~ ( ~ ( rel @ sK1_SX0 @ sK9_SY49 )
| ~ ( positive @ sK3_SY38 @ sK1_SX0 ) ) )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[139]) ).
thf(151,plain,
( ( ( ~ ( ( sK5_SY39 @ sK10_SY52 @ sK8_SY46 )
| ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 ) )
| ~ ( ~ ( sK5_SY39 @ sK10_SY52 @ sK8_SY46 )
| ~ ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 ) ) )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[140]) ).
thf(153,plain,
! [SV11: mu > $i > $o] :
( ( ( ~ ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
| ~ ( positive @ SV11 @ sK1_SX0 ) ) )
= $false )
| ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(156,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( ~ ( ~ ( positive @ SV7 @ SV3 )
| ~ ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 ) ) )
= $false )
| ( ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(157,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( ~ ( ( positive @ SV7 @ SV3 )
| ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 ) ) )
= $false )
| ( ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(159,plain,
( ( ( ~ ( ( sK6_SY39 @ sK2_SY22 @ sK1_SX0 )
| ( positive @ sK3_SY38 @ sK1_SX0 ) ) )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(161,plain,
( ( ( ~ ( ( rel @ sK1_SX0 @ sK9_SY49 )
| ( positive @ sK3_SY38 @ sK1_SX0 ) ) )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(164,plain,
( ( ( ~ ( ~ ( sK5_SY39 @ sK10_SY52 @ sK8_SY46 )
| ~ ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 ) ) )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(165,plain,
! [SV11: mu > $i > $o] :
( ( ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
| ~ ( positive @ SV11 @ sK1_SX0 ) )
= $true )
| ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(168,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( ~ ( positive @ SV7 @ SV3 )
| ~ ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 ) )
= $true )
| ( ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(169,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( ( positive @ SV7 @ SV3 )
| ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 ) )
= $true )
| ( ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(171,plain,
( ( ( ( sK6_SY39 @ sK2_SY22 @ sK1_SX0 )
| ( positive @ sK3_SY38 @ sK1_SX0 ) )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(173,plain,
( ( ( ( rel @ sK1_SX0 @ sK9_SY49 )
| ( positive @ sK3_SY38 @ sK1_SX0 ) )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(176,plain,
( ( ( ~ ( sK5_SY39 @ sK10_SY52 @ sK8_SY46 )
| ~ ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 ) )
= $true )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(177,plain,
! [SV11: mu > $i > $o] :
( ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
= $true )
| ( ( ~ ( positive @ SV11 @ sK1_SX0 ) )
= $true )
| ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(180,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( ~ ( positive @ SV7 @ SV3 ) )
= $true )
| ( ( ~ ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 ) )
= $true )
| ( ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(181,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( positive @ SV7 @ SV3 )
= $true )
| ( ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 )
= $true )
| ( ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(183,plain,
( ( ( sK6_SY39 @ sK2_SY22 @ sK1_SX0 )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(185,plain,
( ( ( rel @ sK1_SX0 @ sK9_SY49 )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(188,plain,
( ( ( ~ ( sK5_SY39 @ sK10_SY52 @ sK8_SY46 ) )
= $true )
| ( ( ~ ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 ) )
= $true )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(189,plain,
! [SV11: mu > $i > $o] :
( ( ( positive @ SV11 @ sK1_SX0 )
= $false )
| ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
= $true )
| ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(191,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( positive @ SV7 @ SV3 )
= $false )
| ( ( ~ ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 ) )
= $true )
| ( ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(195,plain,
( ( ( sK5_SY39 @ sK10_SY52 @ sK8_SY46 )
= $false )
| ( ( ~ ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 ) )
= $true )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(197,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
= $false )
| ( ( positive @ SV7 @ SV3 )
= $false )
| ( ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(201,plain,
( ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false )
| ( ( sK5_SY39 @ sK10_SY52 @ sK8_SY46 )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(203,plain,
! [SV78: mu > $i > mu > $i > $i,SV77: mu > $i > mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV77 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) @ ( SV78 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) )
@ sK1_SX0 ) )
= $true )
| ( ( positive
@ ( SV77 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV78 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV77
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV78
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[142:[bind(SV11,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).
thf(204,plain,
! [SV78: mu > $i > mu > $i > $i,SV77: mu > $i > mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV77 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) @ ( SV78 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) )
@ sK1_SX0 ) )
= $true )
| ( ( positive
@ ( SV77 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV78 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV77
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV78
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[142:[bind(SV11,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ sK1_SX0 ) ))]]) ).
thf(205,plain,
! [SV78: mu > $i > mu > $i > $i,SV77: mu > $i > mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV77 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) @ ( SV78 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) )
@ sK1_SX0 ) )
= $true )
| ( ( positive
@ ( SV77 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV78 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV77
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV78
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[142:[bind(SV11,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ SX1 ) ))]]) ).
thf(206,plain,
! [SV78: mu > $i > mu > $i > $i,SV77: mu > $i > mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV77 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) @ ( SV78 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) )
@ sK1_SX0 ) )
= $true )
| ( ( positive
@ ( SV77 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV78 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV77
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV78
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[142:[bind(SV11,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) @ sK1_SX0 ) ))]]) ).
thf(207,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 ) )
= $true )
| ( ( ~ ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[142:[bind(SV11,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ))]]) ).
thf(208,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 ) )
= $true )
| ( ( ~ ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[142:[bind(SV11,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) @ sK1_SX0 ) ))]]) ).
thf(209,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 ) )
= $true )
| ( ( ~ ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[142:[bind(SV11,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX1 ) ))]]) ).
thf(210,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 ) )
= $true )
| ( ( ~ ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[142:[bind(SV11,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ^ [SX2: mu] : ^ [SX3: $i] : ~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) @ sK1_SX0 ) ))]]) ).
thf(212,plain,
! [SV59: mu > $i > $i,SV58: mu > $i > mu > $i > $o] :
( ( ( ~ ( positive @ ( SV58 @ sK2_SY22 @ sK1_SX0 ) @ ( SV59 @ sK2_SY22 @ sK1_SX0 ) ) )
= $true )
| ( ( positive @ ( SV58 @ sK2_SY22 @ sK1_SX0 ) @ ( SV59 @ sK2_SY22 @ sK1_SX0 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV58 @ SX0 @ SX1 ) @ ( SV59 @ SX0 @ SX1 ) )
@ sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[142:[bind(SV11,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( positive @ ( SV58 @ SX0 @ SX1 ) @ ( SV59 @ SX0 @ SX1 ) ) ))]]) ).
thf(213,plain,
! [SV53: mu > $i > $o] :
( ( ( ~ ( SV53 @ sK2_SY22 @ sK1_SX0 ) )
= $true )
| ( ( ~ ( SV53 @ sK2_SY22 @ sK1_SX0 ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV53 @ SX0 @ SX1 )
@ sK1_SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[142:[bind(SV11,$thf( ^ [SX0: mu] : ^ [SX1: $i] : ~ ( SV53 @ SX0 @ SX1 ) ))]]) ).
thf(216,plain,
! [SV53: mu > $i > $o] :
( ( ( SV53 @ sK2_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( SV53 @ sK2_SY22 @ sK1_SX0 ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV53 @ SX0 @ SX1 )
@ sK1_SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(217,plain,
! [SV59: mu > $i > $i,SV58: mu > $i > mu > $i > $o] :
( ( ( positive @ ( SV58 @ sK2_SY22 @ sK1_SX0 ) @ ( SV59 @ sK2_SY22 @ sK1_SX0 ) )
= $false )
| ( ( positive @ ( SV58 @ sK2_SY22 @ sK1_SX0 ) @ ( SV59 @ sK2_SY22 @ sK1_SX0 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV58 @ SX0 @ SX1 ) @ ( SV59 @ SX0 @ SX1 ) )
@ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(219,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( ~ ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(220,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( ~ ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(221,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( ~ ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(222,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( ~ ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(223,plain,
! [SV78: mu > $i > mu > $i > $i,SV77: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV77 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) @ ( SV78 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) )
@ sK1_SX0 )
= $false )
| ( ( positive
@ ( SV77 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV78 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV77
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV78
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(224,plain,
! [SV78: mu > $i > mu > $i > $i,SV77: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV77 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) @ ( SV78 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) )
@ sK1_SX0 )
= $false )
| ( ( positive
@ ( SV77 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV78 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV77
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV78
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(225,plain,
! [SV78: mu > $i > mu > $i > $i,SV77: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV77 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) @ ( SV78 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) )
@ sK1_SX0 )
= $false )
| ( ( positive
@ ( SV77 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV78 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV77
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV78
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ sK1_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(226,plain,
! [SV78: mu > $i > mu > $i > $i,SV77: mu > $i > mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV77 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) @ ( SV78 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 ) )
@ sK1_SX0 )
= $false )
| ( ( positive
@ ( SV77 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( SV78 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive
@ ( SV77
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 )
@ ( SV78
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( positive @ ( SV77 @ SX2 @ SX3 @ SX4 @ SX5 ) @ ( SV78 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
@ SX0
@ SX1 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( positive @ ( SV77 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( SV78 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(228,plain,
! [SV53: mu > $i > $o] :
( ( ( SV53 @ sK2_SY22 @ sK1_SX0 )
= $false )
| ( ( SV53 @ sK2_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV53 @ SX0 @ SX1 )
@ sK1_SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(229,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(230,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(231,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(232,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( ~ ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(234,plain,
! [SV53: mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV53 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( SV53 @ sK2_SY22 @ sK1_SX0 )
= $false )
| ( ( SV53 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(235,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SX0 )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(236,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(237,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : sK1_SX0
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ sK1_SX0 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : sK1_SX0
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(238,plain,
! [SV68: mu > $i > mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68
@ ( sK12_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ ( sK13_E
@ ^ [SX2: mu,SX3: $i] : SX3
@ ^ [SX2: mu,SX3: $i,SX4: mu,SX5: $i] :
~ ( SV68 @ SX2 @ SX3 @ SX4 @ SX5 ) )
@ SX0
@ SX1 )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV68 @ sK2_SY22 @ sK1_SX0 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( SV68 @ sK2_SY22 @ sK1_SX0
@ ( sK12_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) )
@ ( sK13_E
@ ^ [SX0: mu,SX1: $i] : SX1
@ ^ [SX0: mu,SX1: $i,SX2: mu,SX3: $i] :
~ ( SV68 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(239,plain,
! [SV44: mu > $i > $o] :
( ( ( SV44 @ sK2_SY22 @ sK1_SX0 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV44 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(240,plain,
! [SV8: mu > $i > $o,SV5: $i,SV37: mu > $i > $o] :
( ( ( SV37
@ ( sK7_SY45 @ SV5
@ ^ [SX0: mu,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 )
@ SV8 )
@ ( sK4_SY43
@ ^ [SX0: mu,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 )
@ SV8
@ SV5 ) )
= $true )
| ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 )
@ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(241,plain,
! [SV9: mu > $i > $o,SV5: $i,SV30: mu > $i > $o] :
( ( ( SV30
@ ( sK7_SY45 @ SV5 @ SV9
@ ^ [SX0: mu,SX1: $i] :
~ ( SV30 @ SX0 @ SX1 ) )
@ ( sK4_SY43 @ SV9
@ ^ [SX0: mu,SX1: $i] :
~ ( SV30 @ SX0 @ SX1 )
@ SV5 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV30 @ SX0 @ SX1 )
@ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(242,plain,
! [SV23: mu > $i > $o] :
( ( ( SV23 @ sK10_SY52 @ sK8_SY46 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 )
@ sK8_SY46 )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(243,plain,
! [SV16: mu > $i > $o] :
( ( ( SV16 @ sK11_SY54 @ sK9_SY49 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV16 @ SX0 @ SX1 )
@ sK9_SY49 )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(244,plain,
! [SV11: mu > $i > $o] :
( ( ( positive @ SV11 @ sK1_SX0 )
= $false )
| ( ( SV11 @ sK2_SY22 @ sK1_SX0 )
= $true ) ),
inference(sim,[status(thm)],[189]) ).
thf(245,plain,
! [SV53: mu > $i > $o] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( SV53 @ SX0 @ SX1 )
@ sK1_SX0 )
= $false )
| ( ( SV53 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(sim,[status(thm)],[234]) ).
thf(246,plain,
! [SV59: mu > $i > $i,SV58: mu > $i > mu > $i > $o] :
( ( ( positive @ ( SV58 @ sK2_SY22 @ sK1_SX0 ) @ ( SV59 @ sK2_SY22 @ sK1_SX0 ) )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] :
~ ( positive @ ( SV58 @ SX0 @ SX1 ) @ ( SV59 @ SX0 @ SX1 ) )
@ sK1_SX0 )
= $false ) ),
inference(sim,[status(thm)],[217]) ).
thf(247,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( positive
@ ^ [SY30: mu,SY31: $i] :
~ ( SV7 @ SY30 @ SY31 )
@ SV3 )
= $false )
| ( ( positive @ SV7 @ SV3 )
= $false ) ),
inference(sim,[status(thm)],[197]) ).
thf(248,plain,
! [SV3: $i,SV7: mu > $i > $o] :
( ( ( positive @ SV7 @ SV3 )
= $true )
| ( ( positive
@ ^ [SY32: mu,SY33: $i] :
~ ( SV7 @ SY32 @ SY33 )
@ SV3 )
= $true ) ),
inference(sim,[status(thm)],[181]) ).
thf(249,plain,
( ( ( sK6_SY39 @ sK2_SY22 @ sK1_SX0 )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(sim,[status(thm)],[183]) ).
thf(250,plain,
( ( ( rel @ sK1_SX0 @ sK9_SY49 )
= $true )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(sim,[status(thm)],[185]) ).
thf(251,plain,
( ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false )
| ( ( sK5_SY39 @ sK10_SY52 @ sK8_SY46 )
= $false ) ),
inference(sim,[status(thm)],[201]) ).
thf(252,plain,
( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK1_SX0 )
= $false ),
inference(sim,[status(thm)],[109]) ).
thf(253,plain,
! [SV5: $i,SV8: mu > $i > $o] :
( ( ( positive @ SV8 @ SV5 )
= $false )
| ( ( positive
@ ^ [SX0: mu,SX1: $i] : $true
@ SV5 )
= $true ) ),
inference(sim,[status(thm)],[120]) ).
thf(254,plain,
! [SV9: mu > $i > $o,SV5: $i] :
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ SV5 )
= $false )
| ( ( positive @ SV9 @ SV5 )
= $true ) ),
inference(sim,[status(thm)],[124]) ).
thf(255,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK8_SY46 )
= $false )
| ( ( sK3_SY38 @ sK2_SY22 @ sK1_SX0 )
= $false ) ),
inference(sim,[status(thm)],[130]) ).
thf(256,plain,
( ( ( positive
@ ^ [SX0: mu,SX1: $i] : $false
@ sK9_SY49 )
= $false )
| ( ( positive @ sK3_SY38 @ sK1_SX0 )
= $true ) ),
inference(sim,[status(thm)],[133]) ).
thf(257,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,226,225,224,223,128,127,126,119,118,117,116,115,114,113,112,111,107,106,99,97,94,92,89,85,84,81,77,62,61,59,55,25]) ).
thf(258,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PHI004^1 : TPTP v8.1.0. Released v6.1.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.32 % Computer : n019.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 2 01:50:10 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33
% 0.12/0.33 No.of.Axioms: 5
% 0.12/0.33
% 0.12/0.33 Length.of.Defs: 4156
% 0.12/0.33
% 0.12/0.33 Contains.Choice.Funs: false
% 0.12/0.34 (rf:0,axioms:5,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:7,loop_count:0,foatp_calls:0,translation:fof_full).........eprover: CPU time limit exceeded, terminating
% 25.27/25.45 .....
% 29.68/29.91
% 29.68/29.91 ********************************
% 29.68/29.91 * All subproblems solved! *
% 29.68/29.91 ********************************
% 29.68/29.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:257,loop_count:0,foatp_calls:2,translation:fof_full)
% 29.76/29.96
% 29.76/29.96 %**** Beginning of derivation protocol ****
% 29.76/29.96 % SZS output start CNFRefutation
% See solution above
% 29.76/29.96
% 29.76/29.96 %**** End of derivation protocol ****
% 29.76/29.96 %**** no. of clauses in derivation: 215 ****
% 29.76/29.96 %**** clause counter: 257 ****
% 29.76/29.96
% 29.76/29.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:257,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------