TSTP Solution File: NUM801^1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM801^1 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n010.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 11:55:40 EDT 2022
% Result : Theorem 26.24s 26.41s
% Output : CNFRefutation 26.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 34
% Syntax : Number of formulae : 80 ( 61 unt; 19 typ; 14 def)
% Number of atoms : 151 ( 104 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 3365 ( 6 ~; 0 |; 0 &;3359 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 846 ( 846 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 2 con; 0-4 aty)
% Number of variables : 959 ( 861 ^ 92 !; 6 ?; 959 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_eight,type,
eight: ( $i > $i ) > $i > $i ).
thf(tp_five,type,
five: ( $i > $i ) > $i > $i ).
thf(tp_four,type,
four: ( $i > $i ) > $i > $i ).
thf(tp_mult,type,
mult: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_nine,type,
nine: ( $i > $i ) > $i > $i ).
thf(tp_one,type,
one: ( $i > $i ) > $i > $i ).
thf(tp_plus,type,
plus: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK1_SV3,type,
sK1_SV3: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK2_SV4,type,
sK2_SV4: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK3_E,type,
sK3_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK4_E,type,
sK4_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK5_E,type,
sK5_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i ).
thf(tp_seven,type,
seven: ( $i > $i ) > $i > $i ).
thf(tp_six,type,
six: ( $i > $i ) > $i > $i ).
thf(tp_succ,type,
succ: ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_ten,type,
ten: ( $i > $i ) > $i > $i ).
thf(tp_three,type,
three: ( $i > $i ) > $i > $i ).
thf(tp_two,type,
two: ( $i > $i ) > $i > $i ).
thf(tp_zero,type,
zero: ( $i > $i ) > $i > $i ).
thf(eight,definition,
( eight
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eight) ).
thf(five,definition,
( five
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',five) ).
thf(four,definition,
( four
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',four) ).
thf(mult,definition,
( mult
= ( ^ [M: ( $i > $i ) > $i > $i,N: ( $i > $i ) > $i > $i,X: $i > $i,Y: $i] : ( M @ ( N @ X ) @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mult) ).
thf(nine,definition,
( nine
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nine) ).
thf(one,definition,
( one
= ( ^ [X: $i > $i,Y: $i] : ( X @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one) ).
thf(plus,definition,
( plus
= ( ^ [M: ( $i > $i ) > $i > $i,N: ( $i > $i ) > $i > $i,X: $i > $i,Y: $i] : ( M @ X @ ( N @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus) ).
thf(seven,definition,
( seven
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',seven) ).
thf(six,definition,
( six
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',six) ).
thf(succ,definition,
( succ
= ( ^ [N: ( $i > $i ) > $i > $i,X: $i > $i,Y: $i] : ( X @ ( N @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ) ).
thf(ten,definition,
( ten
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ten) ).
thf(three,definition,
( three
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',three) ).
thf(two,definition,
( two
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',two) ).
thf(zero,definition,
( zero
= ( ^ [X: $i > $i,Y: $i] : Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero) ).
thf(1,conjecture,
? [N: ( $i > $i ) > $i > $i,M: ( $i > $i ) > $i > $i] :
( ( mult @ N @ four )
= ( plus @ five @ M ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(2,negated_conjecture,
( ( ? [N: ( $i > $i ) > $i > $i,M: ( $i > $i ) > $i > $i] :
( ( mult @ N @ four )
= ( plus @ five @ M ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ~ ? [N: ( $i > $i ) > $i > $i,M: ( $i > $i ) > $i > $i] :
( ( mult @ N @ four )
= ( plus @ five @ M ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [N: ( $i > $i ) > $i > $i,M: ( $i > $i ) > $i > $i] :
( ( mult @ N @ four )
!= ( plus @ five @ M ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [N: ( $i > $i ) > $i > $i,M: ( $i > $i ) > $i > $i] :
( ( mult @ N @ four )
!= ( plus @ five @ M ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SX0: ( $i > $i ) > $i > $i,SX1: ( $i > $i ) > $i > $i] :
( ( ^ [SX2: $i > $i,SX3: $i] :
( SX0
@ ^ [SX4: $i] : ( SX2 @ ( SX2 @ ( SX2 @ ( SX2 @ SX4 ) ) ) )
@ SX3 ) )
!= ( ^ [SX2: $i > $i,SX3: $i] : ( SX2 @ ( SX2 @ ( SX2 @ ( SX2 @ ( SX2 @ ( SX1 @ SX2 @ SX3 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,eight,five,four,mult,nine,one,plus,seven,six,succ,ten,three,two,zero]) ).
thf(7,plain,
! [SV1: ( $i > $i ) > $i > $i] :
( ( ! [SY0: ( $i > $i ) > $i > $i] :
( ( ^ [SY1: $i > $i,SY2: $i] :
( SV1
@ ^ [SX4: $i] : ( SY1 @ ( SY1 @ ( SY1 @ ( SY1 @ SX4 ) ) ) )
@ SY2 ) )
!= ( ^ [SX2: $i > $i,SX3: $i] : ( SX2 @ ( SX2 @ ( SX2 @ ( SX2 @ ( SX2 @ ( SY0 @ SX2 @ SX3 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6]) ).
thf(8,plain,
! [SV2: ( $i > $i ) > $i > $i,SV1: ( $i > $i ) > $i > $i] :
( ( ( ( ^ [SY1: $i > $i,SY2: $i] :
( SV1
@ ^ [SX4: $i] : ( SY1 @ ( SY1 @ ( SY1 @ ( SY1 @ SX4 ) ) ) )
@ SY2 ) )
!= ( ^ [SY9: $i > $i,SY10: $i] : ( SY9 @ ( SY9 @ ( SY9 @ ( SY9 @ ( SY9 @ ( SV2 @ SY9 @ SY10 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7]) ).
thf(9,plain,
! [SV2: ( $i > $i ) > $i > $i,SV1: ( $i > $i ) > $i > $i] :
( ( ( ^ [SY1: $i > $i,SY2: $i] :
( SV1
@ ^ [SX4: $i] : ( SY1 @ ( SY1 @ ( SY1 @ ( SY1 @ SX4 ) ) ) )
@ SY2 ) )
= ( ^ [SY9: $i > $i,SY10: $i] : ( SY9 @ ( SY9 @ ( SY9 @ ( SY9 @ ( SY9 @ ( SV2 @ SY9 @ SY10 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV2: ( $i > $i ) > $i > $i,SV1: ( $i > $i ) > $i > $i] :
( ( ! [SV3: $i > $i] :
( ( ^ [SY11: $i] :
( SV1
@ ^ [SY12: $i] : ( SV3 @ ( SV3 @ ( SV3 @ ( SV3 @ SY12 ) ) ) )
@ SY11 ) )
= ( ^ [SY13: $i] : ( SV3 @ ( SV3 @ ( SV3 @ ( SV3 @ ( SV3 @ ( SV2 @ SV3 @ SY13 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[9]) ).
thf(11,plain,
! [SV2: ( $i > $i ) > $i > $i,SV1: ( $i > $i ) > $i > $i] :
( ( ( ^ [SY1: $i > $i,SY2: $i] :
( SV1
@ ^ [SX4: $i] : ( SY1 @ ( SY1 @ ( SY1 @ ( SY1 @ SX4 ) ) ) )
@ SY2 ) )
= ( ^ [SY9: $i > $i,SY10: $i] : ( SY9 @ ( SY9 @ ( SY9 @ ( SY9 @ ( SY9 @ ( SV2 @ SY9 @ SY10 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[9]) ).
thf(12,plain,
! [SV2: ( $i > $i ) > $i > $i,SV1: ( $i > $i ) > $i > $i] :
( ( ( ^ [SY14: $i] :
( SV1
@ ^ [SY15: $i] : ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ SY15 ) ) ) )
@ SY14 ) )
= ( ^ [SY16: $i] : ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( SV2 @ ( sK1_SV3 @ SV2 @ SV1 ) @ SY16 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(13,plain,
! [SV2: ( $i > $i ) > $i > $i,SV1: ( $i > $i ) > $i > $i] :
( ( ! [SV4: $i] :
( ( SV1
@ ^ [SY15: $i] : ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ SY15 ) ) ) )
@ SV4 )
= ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( SV2 @ ( sK1_SV3 @ SV2 @ SV1 ) @ SV4 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[12]) ).
thf(14,plain,
! [SV2: ( $i > $i ) > $i > $i,SV1: ( $i > $i ) > $i > $i] :
( ( ( ^ [SY14: $i] :
( SV1
@ ^ [SY15: $i] : ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ SY15 ) ) ) )
@ SY14 ) )
= ( ^ [SY16: $i] : ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( SV2 @ ( sK1_SV3 @ SV2 @ SV1 ) @ SY16 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[12]) ).
thf(15,plain,
! [SV2: ( $i > $i ) > $i > $i,SV1: ( $i > $i ) > $i > $i] :
( ( ( SV1
@ ^ [SY15: $i] : ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ SY15 ) ) ) )
@ ( sK2_SV4 @ SV2 @ SV1 ) )
= ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( sK1_SV3 @ SV2 @ SV1 @ ( SV2 @ ( sK1_SV3 @ SV2 @ SV1 ) @ ( sK2_SV4 @ SV2 @ SV1 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[13]) ).
thf(16,plain,
! [SV12: ( $i > $i ) > $i > $i,SV11: ( $i > $i ) > $i > ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i,SV10: ( $i > $i ) > $i > ( $i > $i ) > $i > $i] :
( ( ( sK3_E
@ ( SV10
@ ^ [SX0: $i] :
( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV10 @ SX1 @ SX2 ) @ ( SV11 @ SX1 @ SX2 ) @ ( SV12 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV10 @ SX1 @ SX2 ) @ ( SV11 @ SX1 @ SX2 ) @ ( SV12 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV10 @ SX1 @ SX2 ) @ ( SV11 @ SX1 @ SX2 ) @ ( SV12 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV10 @ SX1 @ SX2 ) @ ( SV11 @ SX1 @ SX2 ) @ ( SV12 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV10 @ SX0 @ SX1 ) @ ( SV11 @ SX0 @ SX1 ) @ ( SV12 @ SX0 @ SX1 ) ) ) )
@ ( SV11
@ ^ [SX0: $i] :
( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV10 @ SX1 @ SX2 ) @ ( SV11 @ SX1 @ SX2 ) @ ( SV12 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV10 @ SX1 @ SX2 ) @ ( SV11 @ SX1 @ SX2 ) @ ( SV12 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV10 @ SX1 @ SX2 ) @ ( SV11 @ SX1 @ SX2 ) @ ( SV12 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV10 @ SX1 @ SX2 ) @ ( SV11 @ SX1 @ SX2 ) @ ( SV12 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV10 @ SX0 @ SX1 ) @ ( SV11 @ SX0 @ SX1 ) @ ( SV12 @ SX0 @ SX1 ) ) ) )
@ ( SV12
@ ^ [SX0: $i] :
( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV10 @ SX1 @ SX2 ) @ ( SV11 @ SX1 @ SX2 ) @ ( SV12 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV10 @ SX1 @ SX2 ) @ ( SV11 @ SX1 @ SX2 ) @ ( SV12 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV10 @ SX1 @ SX2 ) @ ( SV11 @ SX1 @ SX2 ) @ ( SV12 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV10 @ SX1 @ SX2 ) @ ( SV11 @ SX1 @ SX2 ) @ ( SV12 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV10 @ SX0 @ SX1 ) @ ( SV11 @ SX0 @ SX1 ) @ ( SV12 @ SX0 @ SX1 ) ) ) ) )
= ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV10 @ SX0 @ SX1 ) @ ( SV11 @ SX0 @ SX1 ) @ ( SV12 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV10 @ SX0 @ SX1 ) @ ( SV11 @ SX0 @ SX1 ) @ ( SV12 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV10 @ SX0 @ SX1 ) @ ( SV11 @ SX0 @ SX1 ) @ ( SV12 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV10 @ SX0 @ SX1 ) @ ( SV11 @ SX0 @ SX1 ) @ ( SV12 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV10 @ SX0 @ SX1 ) @ ( SV11 @ SX0 @ SX1 ) @ ( SV12 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV10 @ SX0 @ SX1 ) @ ( SV11 @ SX0 @ SX1 ) @ ( SV12 @ SX0 @ SX1 ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV10 @ SX0 @ SX1 ) @ ( SV11 @ SX0 @ SX1 ) @ ( SV12 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[11:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( sK3_E @ ( SV10 @ SX0 @ SX1 ) @ ( SV11 @ SX0 @ SX1 ) @ ( SV12 @ SX0 @ SX1 ) ) ))]]) ).
thf(17,plain,
! [SV20: ( $i > $i ) > $i > $i,SV19: ( $i > $i ) > $i > ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i,SV18: ( $i > $i ) > $i > ( $i > $i ) > $i > $i] :
( ( ( sK3_E
@ ( SV18
@ ^ [SX0: $i] :
( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV18 @ SX1 @ SX2 ) @ ( SV19 @ SX1 @ SX2 ) @ ( SV20 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV18 @ SX1 @ SX2 ) @ ( SV19 @ SX1 @ SX2 ) @ ( SV20 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV18 @ SX1 @ SX2 ) @ ( SV19 @ SX1 @ SX2 ) @ ( SV20 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV18 @ SX1 @ SX2 ) @ ( SV19 @ SX1 @ SX2 ) @ ( SV20 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK3_E @ ( SV18 @ SX0 @ SX1 ) @ ( SV19 @ SX0 @ SX1 ) @ ( SV20 @ SX0 @ SX1 ) ) ) ) )
@ ( SV19
@ ^ [SX0: $i] :
( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV18 @ SX1 @ SX2 ) @ ( SV19 @ SX1 @ SX2 ) @ ( SV20 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV18 @ SX1 @ SX2 ) @ ( SV19 @ SX1 @ SX2 ) @ ( SV20 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV18 @ SX1 @ SX2 ) @ ( SV19 @ SX1 @ SX2 ) @ ( SV20 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV18 @ SX1 @ SX2 ) @ ( SV19 @ SX1 @ SX2 ) @ ( SV20 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK3_E @ ( SV18 @ SX0 @ SX1 ) @ ( SV19 @ SX0 @ SX1 ) @ ( SV20 @ SX0 @ SX1 ) ) ) ) )
@ ( SV20
@ ^ [SX0: $i] :
( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV18 @ SX1 @ SX2 ) @ ( SV19 @ SX1 @ SX2 ) @ ( SV20 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV18 @ SX1 @ SX2 ) @ ( SV19 @ SX1 @ SX2 ) @ ( SV20 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV18 @ SX1 @ SX2 ) @ ( SV19 @ SX1 @ SX2 ) @ ( SV20 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV18 @ SX1 @ SX2 ) @ ( SV19 @ SX1 @ SX2 ) @ ( SV20 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK3_E @ ( SV18 @ SX0 @ SX1 ) @ ( SV19 @ SX0 @ SX1 ) @ ( SV20 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK3_E @ ( SV18 @ SX0 @ SX1 ) @ ( SV19 @ SX0 @ SX1 ) @ ( SV20 @ SX0 @ SX1 ) ) )
@ ( SV2
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK3_E @ ( SV18 @ SX0 @ SX1 ) @ ( SV19 @ SX0 @ SX1 ) @ ( SV20 @ SX0 @ SX1 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK3_E @ ( SV18 @ SX0 @ SX1 ) @ ( SV19 @ SX0 @ SX1 ) @ ( SV20 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[11:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( sK3_E @ ( SV18 @ SX0 @ SX1 ) @ ( SV19 @ SX0 @ SX1 ) @ ( SV20 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(18,plain,
! [SV15: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) )
@ ( SV15
@ ^ [SX0: $i] :
( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV15 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV15 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV15 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV15 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= ( SV2
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[11:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(19,plain,
! [SV15: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) )
@ ( SV15
@ ^ [SX0: $i] :
( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV15 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV15 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV15 @ SX1 @ SX2 ) ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV15 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) ) ) ) ) ) ) )
= ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) )
@ ( SV2
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[11:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV15 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(20,plain,
! [SV2: ( $i > $i ) > $i > $i] :
( ( ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) )
= ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 )
@ ( SV2
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[11:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ SX1 ) ))]]) ).
thf(21,plain,
! [SV7: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( SV7
@ ^ [SX0: $i] :
( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) ) ) )
= ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[11:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) ))]]) ).
thf(22,plain,
! [SV7: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( SV7
@ ^ [SX0: $i] :
( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[11:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) ))]]) ).
thf(23,plain,
! [SV7: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( SV7
@ ^ [SX0: $i] :
( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[11:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) ))]]) ).
thf(24,plain,
! [SV7: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( SV7
@ ^ [SX0: $i] :
( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ ( sK3_E @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV7 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[11:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV7 @ SX0 @ SX1 ) ) ))]]) ).
thf(25,plain,
! [SV2: ( $i > $i ) > $i > $i] :
( ( ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1 )
= ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( SV2
@ ( sK3_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1 )
@ ( sK4_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[11:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : SX1 ))]]) ).
thf(26,plain,
! [SV28: ( $i > $i ) > $i > $i,SV27: ( $i > $i ) > $i > ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i,SV26: ( $i > $i ) > $i > ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3
@ ( SV26
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV26 @ SX1 @ SX2 ) @ ( SV27 @ SX1 @ SX2 ) @ ( SV28 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV26 @ SX1 @ SX2 ) @ ( SV27 @ SX1 @ SX2 ) @ ( SV28 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV26 @ SX1 @ SX2 ) @ ( SV27 @ SX1 @ SX2 ) @ ( SV28 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV26 @ SX1 @ SX2 ) @ ( SV27 @ SX1 @ SX2 ) @ ( SV28 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV26 @ SX0 @ SX1 ) @ ( SV27 @ SX0 @ SX1 ) @ ( SV28 @ SX0 @ SX1 ) ) ) )
@ ( SV27
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV26 @ SX1 @ SX2 ) @ ( SV27 @ SX1 @ SX2 ) @ ( SV28 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV26 @ SX1 @ SX2 ) @ ( SV27 @ SX1 @ SX2 ) @ ( SV28 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV26 @ SX1 @ SX2 ) @ ( SV27 @ SX1 @ SX2 ) @ ( SV28 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV26 @ SX1 @ SX2 ) @ ( SV27 @ SX1 @ SX2 ) @ ( SV28 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV26 @ SX0 @ SX1 ) @ ( SV27 @ SX0 @ SX1 ) @ ( SV28 @ SX0 @ SX1 ) ) ) )
@ ( SV28
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV26 @ SX1 @ SX2 ) @ ( SV27 @ SX1 @ SX2 ) @ ( SV28 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV26 @ SX1 @ SX2 ) @ ( SV27 @ SX1 @ SX2 ) @ ( SV28 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV26 @ SX1 @ SX2 ) @ ( SV27 @ SX1 @ SX2 ) @ ( SV28 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV26 @ SX1 @ SX2 ) @ ( SV27 @ SX1 @ SX2 ) @ ( SV28 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV26 @ SX0 @ SX1 ) @ ( SV27 @ SX0 @ SX1 ) @ ( SV28 @ SX0 @ SX1 ) ) ) ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV26 @ SX0 @ SX1 ) @ ( SV27 @ SX0 @ SX1 ) @ ( SV28 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV26 @ SX0 @ SX1 ) @ ( SV27 @ SX0 @ SX1 ) @ ( SV28 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV26 @ SX0 @ SX1 ) @ ( SV27 @ SX0 @ SX1 ) @ ( SV28 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV26 @ SX0 @ SX1 ) @ ( SV27 @ SX0 @ SX1 ) @ ( SV28 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV26 @ SX0 @ SX1 ) @ ( SV27 @ SX0 @ SX1 ) @ ( SV28 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV26 @ SX0 @ SX1 ) @ ( SV27 @ SX0 @ SX1 ) @ ( SV28 @ SX0 @ SX1 ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV26 @ SX0 @ SX1 ) @ ( SV27 @ SX0 @ SX1 ) @ ( SV28 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( sK1_SV3 @ ( SV26 @ SX0 @ SX1 ) @ ( SV27 @ SX0 @ SX1 ) @ ( SV28 @ SX0 @ SX1 ) ) ))]]) ).
thf(27,plain,
! [SV36: ( $i > $i ) > $i > $i,SV35: ( $i > $i ) > $i > ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i,SV34: ( $i > $i ) > $i > ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3
@ ( SV34
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV34 @ SX1 @ SX2 ) @ ( SV35 @ SX1 @ SX2 ) @ ( SV36 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV34 @ SX1 @ SX2 ) @ ( SV35 @ SX1 @ SX2 ) @ ( SV36 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV34 @ SX1 @ SX2 ) @ ( SV35 @ SX1 @ SX2 ) @ ( SV36 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV34 @ SX1 @ SX2 ) @ ( SV35 @ SX1 @ SX2 ) @ ( SV36 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV3 @ ( SV34 @ SX0 @ SX1 ) @ ( SV35 @ SX0 @ SX1 ) @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( SV35
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV34 @ SX1 @ SX2 ) @ ( SV35 @ SX1 @ SX2 ) @ ( SV36 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV34 @ SX1 @ SX2 ) @ ( SV35 @ SX1 @ SX2 ) @ ( SV36 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV34 @ SX1 @ SX2 ) @ ( SV35 @ SX1 @ SX2 ) @ ( SV36 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV34 @ SX1 @ SX2 ) @ ( SV35 @ SX1 @ SX2 ) @ ( SV36 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV3 @ ( SV34 @ SX0 @ SX1 ) @ ( SV35 @ SX0 @ SX1 ) @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( SV36
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV34 @ SX1 @ SX2 ) @ ( SV35 @ SX1 @ SX2 ) @ ( SV36 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV34 @ SX1 @ SX2 ) @ ( SV35 @ SX1 @ SX2 ) @ ( SV36 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV34 @ SX1 @ SX2 ) @ ( SV35 @ SX1 @ SX2 ) @ ( SV36 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV34 @ SX1 @ SX2 ) @ ( SV35 @ SX1 @ SX2 ) @ ( SV36 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV3 @ ( SV34 @ SX0 @ SX1 ) @ ( SV35 @ SX0 @ SX1 ) @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV3 @ ( SV34 @ SX0 @ SX1 ) @ ( SV35 @ SX0 @ SX1 ) @ ( SV36 @ SX0 @ SX1 ) ) )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV3 @ ( SV34 @ SX0 @ SX1 ) @ ( SV35 @ SX0 @ SX1 ) @ ( SV36 @ SX0 @ SX1 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV3 @ ( SV34 @ SX0 @ SX1 ) @ ( SV35 @ SX0 @ SX1 ) @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( sK1_SV3 @ ( SV34 @ SX0 @ SX1 ) @ ( SV35 @ SX0 @ SX1 ) @ ( SV36 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(28,plain,
! [SV31: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) )
@ ( SV31
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV31 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV31 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV31 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV31 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(29,plain,
! [SV31: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) )
@ ( SV31
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV31 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV31 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV31 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV31 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) ) ) ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV31 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(30,plain,
! [SV2: ( $i > $i ) > $i > $i] :
( ( ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ SX1 ) ))]]) ).
thf(31,plain,
! [SV23: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV23
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ) ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ))]]) ).
thf(32,plain,
! [SV23: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV23
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ))]]) ).
thf(33,plain,
! [SV23: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV23
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ))]]) ).
thf(34,plain,
! [SV23: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV23
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ))]]) ).
thf(35,plain,
! [SV2: ( $i > $i ) > $i > $i] :
( ( ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1 )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1 )
@ ( sK5_E @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : SX1 ))]]) ).
thf(36,plain,
! [SV44: ( $i > $i ) > $i > $i,SV43: ( $i > $i ) > $i > ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i,SV42: ( $i > $i ) > $i > ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3
@ ( SV42
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV42 @ SX1 @ SX2 ) @ ( SV43 @ SX1 @ SX2 ) @ ( SV44 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV42 @ SX1 @ SX2 ) @ ( SV43 @ SX1 @ SX2 ) @ ( SV44 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV42 @ SX1 @ SX2 ) @ ( SV43 @ SX1 @ SX2 ) @ ( SV44 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV42 @ SX1 @ SX2 ) @ ( SV43 @ SX1 @ SX2 ) @ ( SV44 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV42 @ SX0 @ SX1 ) @ ( SV43 @ SX0 @ SX1 ) @ ( SV44 @ SX0 @ SX1 ) ) ) )
@ ( SV43
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV42 @ SX1 @ SX2 ) @ ( SV43 @ SX1 @ SX2 ) @ ( SV44 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV42 @ SX1 @ SX2 ) @ ( SV43 @ SX1 @ SX2 ) @ ( SV44 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV42 @ SX1 @ SX2 ) @ ( SV43 @ SX1 @ SX2 ) @ ( SV44 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV42 @ SX1 @ SX2 ) @ ( SV43 @ SX1 @ SX2 ) @ ( SV44 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV42 @ SX0 @ SX1 ) @ ( SV43 @ SX0 @ SX1 ) @ ( SV44 @ SX0 @ SX1 ) ) ) )
@ ( SV44
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV42 @ SX1 @ SX2 ) @ ( SV43 @ SX1 @ SX2 ) @ ( SV44 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV42 @ SX1 @ SX2 ) @ ( SV43 @ SX1 @ SX2 ) @ ( SV44 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV42 @ SX1 @ SX2 ) @ ( SV43 @ SX1 @ SX2 ) @ ( SV44 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV3 @ ( SV42 @ SX1 @ SX2 ) @ ( SV43 @ SX1 @ SX2 ) @ ( SV44 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV42 @ SX0 @ SX1 ) @ ( SV43 @ SX0 @ SX1 ) @ ( SV44 @ SX0 @ SX1 ) ) ) ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV42 @ SX0 @ SX1 ) @ ( SV43 @ SX0 @ SX1 ) @ ( SV44 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV42 @ SX0 @ SX1 ) @ ( SV43 @ SX0 @ SX1 ) @ ( SV44 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV42 @ SX0 @ SX1 ) @ ( SV43 @ SX0 @ SX1 ) @ ( SV44 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV42 @ SX0 @ SX1 ) @ ( SV43 @ SX0 @ SX1 ) @ ( SV44 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV42 @ SX0 @ SX1 ) @ ( SV43 @ SX0 @ SX1 ) @ ( SV44 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV42 @ SX0 @ SX1 ) @ ( SV43 @ SX0 @ SX1 ) @ ( SV44 @ SX0 @ SX1 ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV3 @ ( SV42 @ SX0 @ SX1 ) @ ( SV43 @ SX0 @ SX1 ) @ ( SV44 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[15:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( sK1_SV3 @ ( SV42 @ SX0 @ SX1 ) @ ( SV43 @ SX0 @ SX1 ) @ ( SV44 @ SX0 @ SX1 ) ) ))]]) ).
thf(37,plain,
! [SV52: ( $i > $i ) > $i > $i,SV51: ( $i > $i ) > $i > ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i,SV50: ( $i > $i ) > $i > ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3
@ ( SV50
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV50 @ SX1 @ SX2 ) @ ( SV51 @ SX1 @ SX2 ) @ ( SV52 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV50 @ SX1 @ SX2 ) @ ( SV51 @ SX1 @ SX2 ) @ ( SV52 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV50 @ SX1 @ SX2 ) @ ( SV51 @ SX1 @ SX2 ) @ ( SV52 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV50 @ SX1 @ SX2 ) @ ( SV51 @ SX1 @ SX2 ) @ ( SV52 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV3 @ ( SV50 @ SX0 @ SX1 ) @ ( SV51 @ SX0 @ SX1 ) @ ( SV52 @ SX0 @ SX1 ) ) ) ) )
@ ( SV51
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV50 @ SX1 @ SX2 ) @ ( SV51 @ SX1 @ SX2 ) @ ( SV52 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV50 @ SX1 @ SX2 ) @ ( SV51 @ SX1 @ SX2 ) @ ( SV52 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV50 @ SX1 @ SX2 ) @ ( SV51 @ SX1 @ SX2 ) @ ( SV52 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV50 @ SX1 @ SX2 ) @ ( SV51 @ SX1 @ SX2 ) @ ( SV52 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV3 @ ( SV50 @ SX0 @ SX1 ) @ ( SV51 @ SX0 @ SX1 ) @ ( SV52 @ SX0 @ SX1 ) ) ) ) )
@ ( SV52
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV50 @ SX1 @ SX2 ) @ ( SV51 @ SX1 @ SX2 ) @ ( SV52 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV50 @ SX1 @ SX2 ) @ ( SV51 @ SX1 @ SX2 ) @ ( SV52 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV50 @ SX1 @ SX2 ) @ ( SV51 @ SX1 @ SX2 ) @ ( SV52 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV3 @ ( SV50 @ SX1 @ SX2 ) @ ( SV51 @ SX1 @ SX2 ) @ ( SV52 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV3 @ ( SV50 @ SX0 @ SX1 ) @ ( SV51 @ SX0 @ SX1 ) @ ( SV52 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV3 @ ( SV50 @ SX0 @ SX1 ) @ ( SV51 @ SX0 @ SX1 ) @ ( SV52 @ SX0 @ SX1 ) ) )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV3 @ ( SV50 @ SX0 @ SX1 ) @ ( SV51 @ SX0 @ SX1 ) @ ( SV52 @ SX0 @ SX1 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV3 @ ( SV50 @ SX0 @ SX1 ) @ ( SV51 @ SX0 @ SX1 ) @ ( SV52 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[15:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( sK1_SV3 @ ( SV50 @ SX0 @ SX1 ) @ ( SV51 @ SX0 @ SX1 ) @ ( SV52 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(38,plain,
! [SV47: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) )
@ ( SV47
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV47 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV47 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV47 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV47 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[15:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(39,plain,
! [SV47: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) )
@ ( SV47
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV47 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV47 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV47 @ SX1 @ SX2 ) ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV47 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) ) ) ) ) ) ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[15:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV47 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(40,plain,
! [SV2: ( $i > $i ) > $i > $i] :
( ( ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[15:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ SX1 ) ))]]) ).
thf(41,plain,
! [SV39: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( SV39
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) ) ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[15:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) ))]]) ).
thf(42,plain,
! [SV39: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( SV39
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[15:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) ))]]) ).
thf(43,plain,
! [SV39: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( SV39
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[15:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) ))]]) ).
thf(44,plain,
! [SV39: ( $i > $i ) > $i > $i,SV2: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( SV39
@ ^ [SX0: $i] :
( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV39 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) )
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[15:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV39 @ SX0 @ SX1 ) ) ))]]) ).
thf(45,plain,
! [SV2: ( $i > $i ) > $i > $i] :
( ( ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1 )
= ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( SV2
@ ( sK1_SV3 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1 )
@ ( sK2_SV4 @ SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[15:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : SX1 ))]]) ).
thf(46,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14]) ).
thf(47,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM801^1 : TPTP v8.1.0. Released v3.7.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jul 7 16:00:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 2009
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:0,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:2,loop_count:0,foatp_calls:0,translation:fof_full)eprover: CPU time limit exceeded, terminating
% 25.22/25.40 ..
% 26.24/26.41
% 26.24/26.41 ********************************
% 26.24/26.41 * All subproblems solved! *
% 26.24/26.41 ********************************
% 26.24/26.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,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:46,loop_count:0,foatp_calls:2,translation:fof_full)
% 26.24/26.42
% 26.24/26.42 %**** Beginning of derivation protocol ****
% 26.24/26.42 % SZS output start CNFRefutation
% See solution above
% 26.24/26.42
% 26.24/26.42 %**** End of derivation protocol ****
% 26.24/26.42 %**** no. of clauses in derivation: 47 ****
% 26.24/26.42 %**** clause counter: 46 ****
% 26.24/26.42
% 26.24/26.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,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:46,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------