TSTP Solution File: NUM020^1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM020^1 : TPTP v8.1.0. Released v3.6.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n024.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 11:46:25 EDT 2022
% Result : Theorem 117.23s 117.62s
% Output : CNFRefutation 117.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 58
% Syntax : Number of formulae : 103 ( 60 unt; 43 typ; 14 def)
% Number of atoms : 148 ( 102 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 2052 ( 4 ~; 0 |; 0 &;2048 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 923 ( 923 >; 0 *; 0 +; 0 <<)
% Number of symbols : 46 ( 43 usr; 2 con; 0-4 aty)
% Number of variables : 773 ( 727 ^ 42 !; 4 ?; 773 :)
% 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_sK10_E,type,
sK10_E: ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK11_E,type,
sK11_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK12_E,type,
sK12_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK13_E,type,
sK13_E: ( ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK14_E,type,
sK14_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK15_E,type,
sK15_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK16_E,type,
sK16_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK17_E,type,
sK17_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK18_E,type,
sK18_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK19_E,type,
sK19_E: ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK1_SV2,type,
sK1_SV2: ( ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK20_E,type,
sK20_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK21_E,type,
sK21_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK22_E,type,
sK22_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK23_E,type,
sK23_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK24_E,type,
sK24_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK25_E,type,
sK25_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK26_E,type,
sK26_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK27_E,type,
sK27_E: ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK28_E,type,
sK28_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK29_E,type,
sK29_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK2_SV3,type,
sK2_SV3: ( ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK3_E,type,
sK3_E: ( ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK4_E,type,
sK4_E: ( ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK5_E,type,
sK5_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK6_E,type,
sK6_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK7_E,type,
sK7_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i > $i ).
thf(tp_sK8_E,type,
sK8_E: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > ( $i > $i ) > $i > $i ) > $i ).
thf(tp_sK9_E,type,
sK9_E: ( ( $i > $i ) > $i > $i ) > ( ( $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] :
( ( mult @ N @ three )
= six ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(2,negated_conjecture,
( ( ? [N: ( $i > $i ) > $i > $i] :
( ( mult @ N @ three )
= six ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [SY1182: ( $i > $i ) > $i > $i] :
( ( ^ [SY1186: $i > $i,SY1187: $i] :
( SY1182
@ ^ [SY1188: $i] : ( SY1186 @ ( SY1186 @ ( SY1186 @ SY1188 ) ) )
@ SY1187 ) )
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,eight,five,four,mult,nine,one,plus,seven,six,succ,ten,three,two,zero]) ).
thf(4,plain,
( ( ~ ? [SY1182: ( $i > $i ) > $i > $i] :
( ( ^ [SY1186: $i > $i,SY1187: $i] :
( SY1182
@ ^ [SY1188: $i] : ( SY1186 @ ( SY1186 @ ( SY1186 @ SY1188 ) ) )
@ SY1187 ) )
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [SY1182: ( $i > $i ) > $i > $i] :
( ( ^ [SY1186: $i > $i,SY1187: $i] :
( SY1182
@ ^ [SY1188: $i] : ( SY1186 @ ( SY1186 @ ( SY1186 @ SY1188 ) ) )
@ SY1187 ) )
!= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY1182: ( $i > $i ) > $i > $i] :
( ( ^ [SY1186: $i > $i,SY1187: $i] :
( SY1182
@ ^ [SY1188: $i] : ( SY1186 @ ( SY1186 @ ( SY1186 @ SY1188 ) ) )
@ SY1187 ) )
!= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
! [SV1: ( $i > $i ) > $i > $i] :
( ( ( ( ^ [SY1195: $i > $i,SY1196: $i] :
( SV1
@ ^ [SY1188: $i] : ( SY1195 @ ( SY1195 @ ( SY1195 @ SY1188 ) ) )
@ SY1196 ) )
!= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6]) ).
thf(8,plain,
! [SV1: ( $i > $i ) > $i > $i] :
( ( ( ^ [SY1195: $i > $i,SY1196: $i] :
( SV1
@ ^ [SY1188: $i] : ( SY1195 @ ( SY1195 @ ( SY1195 @ SY1188 ) ) )
@ SY1196 ) )
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
! [SV1: ( $i > $i ) > $i > $i] :
( ( ! [SV2: $i > $i] :
( ( ^ [SY1200: $i] :
( SV1
@ ^ [SY1201: $i] : ( SV2 @ ( SV2 @ ( SV2 @ SY1201 ) ) )
@ SY1200 ) )
= ( ^ [SY1202: $i] : ( SV2 @ ( SV2 @ ( SV2 @ ( SV2 @ ( SV2 @ ( SV2 @ SY1202 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: ( $i > $i ) > $i > $i] :
( ( ( ^ [SY1195: $i > $i,SY1196: $i] :
( SV1
@ ^ [SY1188: $i] : ( SY1195 @ ( SY1195 @ ( SY1195 @ SY1188 ) ) )
@ SY1196 ) )
= ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[8]) ).
thf(11,plain,
! [SV1: ( $i > $i ) > $i > $i] :
( ( ( ^ [SY1203: $i] :
( SV1
@ ^ [SY1204: $i] : ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ SY1204 ) ) )
@ SY1203 ) )
= ( ^ [SY1205: $i] : ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ SY1205 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(12,plain,
! [SV1: ( $i > $i ) > $i > $i] :
( ( ! [SV3: $i] :
( ( SV1
@ ^ [SY1204: $i] : ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ SY1204 ) ) )
@ SV3 )
= ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ SV3 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[11]) ).
thf(13,plain,
! [SV1: ( $i > $i ) > $i > $i] :
( ( ( ^ [SY1203: $i] :
( SV1
@ ^ [SY1204: $i] : ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ SY1204 ) ) )
@ SY1203 ) )
= ( ^ [SY1205: $i] : ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ SY1205 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: ( $i > $i ) > $i > $i] :
( ( ( SV1
@ ^ [SY1204: $i] : ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ SY1204 ) ) )
@ ( sK2_SV3 @ SV1 ) )
= ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK1_SV2 @ SV1 @ ( sK2_SV3 @ SV1 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[12]) ).
thf(15,plain,
! [SV10: ( $i > $i ) > $i > $i,SV9: ( $i > $i ) > $i > ( $i > $i ) > $i > $i] :
( ( ( sK3_E
@ ( SV9
@ ^ [SX0: $i] :
( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV9 @ SX1 @ SX2 ) @ ( SV10 @ SX1 @ SX2 ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV9 @ SX1 @ SX2 ) @ ( SV10 @ SX1 @ SX2 ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV9 @ SX1 @ SX2 ) @ ( SV10 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV9 @ SX0 @ SX1 ) @ ( SV10 @ SX0 @ SX1 ) ) ) )
@ ( SV10
@ ^ [SX0: $i] :
( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV9 @ SX1 @ SX2 ) @ ( SV10 @ SX1 @ SX2 ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV9 @ SX1 @ SX2 ) @ ( SV10 @ SX1 @ SX2 ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( sK3_E @ ( SV9 @ SX1 @ SX2 ) @ ( SV10 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV9 @ SX0 @ SX1 ) @ ( SV10 @ SX0 @ SX1 ) ) ) ) )
= ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV9 @ SX0 @ SX1 ) @ ( SV10 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV9 @ SX0 @ SX1 ) @ ( SV10 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV9 @ SX0 @ SX1 ) @ ( SV10 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV9 @ SX0 @ SX1 ) @ ( SV10 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV9 @ SX0 @ SX1 ) @ ( SV10 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV9 @ SX0 @ SX1 ) @ ( SV10 @ SX0 @ SX1 ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( sK3_E @ ( SV9 @ SX0 @ SX1 ) @ ( SV10 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[10:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( sK3_E @ ( SV9 @ SX0 @ SX1 ) @ ( SV10 @ SX0 @ SX1 ) ) ))]]) ).
thf(16,plain,
! [SV17: ( $i > $i ) > $i > $i,SV16: ( $i > $i ) > $i > ( $i > $i ) > $i > $i] :
( ( ( sK3_E
@ ( SV16
@ ^ [SX0: $i] :
( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV16 @ SX1 @ SX2 ) @ ( SV17 @ SX1 @ SX2 ) ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV16 @ SX1 @ SX2 ) @ ( SV17 @ SX1 @ SX2 ) ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV16 @ SX1 @ SX2 ) @ ( SV17 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK3_E @ ( SV16 @ SX0 @ SX1 ) @ ( SV17 @ SX0 @ SX1 ) ) ) ) )
@ ( SV17
@ ^ [SX0: $i] :
( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV16 @ SX1 @ SX2 ) @ ( SV17 @ SX1 @ SX2 ) ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV16 @ SX1 @ SX2 ) @ ( SV17 @ SX1 @ SX2 ) ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK3_E @ ( SV16 @ SX1 @ SX2 ) @ ( SV17 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK3_E @ ( SV16 @ SX0 @ SX1 ) @ ( SV17 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK3_E @ ( SV16 @ SX0 @ SX1 ) @ ( SV17 @ SX0 @ SX1 ) ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK3_E @ ( SV16 @ SX0 @ SX1 ) @ ( SV17 @ SX0 @ SX1 ) ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK3_E @ ( SV16 @ SX0 @ SX1 ) @ ( SV17 @ SX0 @ SX1 ) ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK3_E @ ( SV16 @ SX0 @ SX1 ) @ ( SV17 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[10:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( sK3_E @ ( SV16 @ SX0 @ SX1 ) @ ( SV17 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(17,plain,
! [SV13: ( $i > $i ) > $i > $i] :
( ( ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) )
@ ( SV13
@ ^ [SX0: $i] :
( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV13 @ SX1 @ SX2 ) ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV13 @ SX1 @ SX2 ) ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV13 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[10:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(18,plain,
! [SV13: ( $i > $i ) > $i > $i] :
( ( ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) )
@ ( SV13
@ ^ [SX0: $i] :
( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV13 @ SX1 @ SX2 ) ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV13 @ SX1 @ SX2 ) ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV13 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[10:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(19,plain,
! [SV13: ( $i > $i ) > $i > $i] :
( ( ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) )
@ ( SV13
@ ^ [SX0: $i] :
( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV13 @ SX1 @ SX2 ) ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV13 @ SX1 @ SX2 ) ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV13 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[10:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV13 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(20,plain,
( ( ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) )
= ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[10:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ SX1 ) ))]]) ).
thf(21,plain,
! [SV6: ( $i > $i ) > $i > $i] :
( ( ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( SV6
@ ^ [SX0: $i] :
( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV6 @ SX1 @ SX2 ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV6 @ SX1 @ SX2 ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV6 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) ) ) ) )
= ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[10:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) ) ))]]) ).
thf(22,plain,
! [SV6: ( $i > $i ) > $i > $i] :
( ( ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( SV6
@ ^ [SX0: $i] :
( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV6 @ SX1 @ SX2 ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV6 @ SX1 @ SX2 ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV6 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[10:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) ) ))]]) ).
thf(23,plain,
! [SV6: ( $i > $i ) > $i > $i] :
( ( ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( SV6
@ ^ [SX0: $i] :
( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV6 @ SX1 @ SX2 ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV6 @ SX1 @ SX2 ) )
@ ( sK3_E
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV6 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) )
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[10:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV6 @ SX0 @ SX1 ) ) ))]]) ).
thf(24,plain,
( ( ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : SX1 )
= ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK3_E
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK4_E
@ ^ [SX0: $i > $i,SX1: $i] : SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[10:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : SX1 ))]]) ).
thf(25,plain,
! [SV114: ( $i > $i ) > $i > $i,SV113: ( $i > $i ) > $i > ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ( SV113
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV2 @ ( SV113 @ SX1 @ SX2 ) @ ( SV114 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV2 @ ( SV113 @ SX1 @ SX2 ) @ ( SV114 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV2 @ ( SV113 @ SX1 @ SX2 ) @ ( SV114 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV113 @ SX0 @ SX1 ) @ ( SV114 @ SX0 @ SX1 ) ) ) )
@ ( SV114
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV2 @ ( SV113 @ SX1 @ SX2 ) @ ( SV114 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV2 @ ( SV113 @ SX1 @ SX2 ) @ ( SV114 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV2 @ ( SV113 @ SX1 @ SX2 ) @ ( SV114 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV113 @ SX0 @ SX1 ) @ ( SV114 @ SX0 @ SX1 ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV113 @ SX0 @ SX1 ) @ ( SV114 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV113 @ SX0 @ SX1 ) @ ( SV114 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV113 @ SX0 @ SX1 ) @ ( SV114 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV113 @ SX0 @ SX1 ) @ ( SV114 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV113 @ SX0 @ SX1 ) @ ( SV114 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV113 @ SX0 @ SX1 ) @ ( SV114 @ SX0 @ SX1 ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV113 @ SX0 @ SX1 ) @ ( SV114 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[13:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( sK1_SV2 @ ( SV113 @ SX0 @ SX1 ) @ ( SV114 @ SX0 @ SX1 ) ) ))]]) ).
thf(26,plain,
! [SV121: ( $i > $i ) > $i > $i,SV120: ( $i > $i ) > $i > ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ( SV120
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV2 @ ( SV120 @ SX1 @ SX2 ) @ ( SV121 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV2 @ ( SV120 @ SX1 @ SX2 ) @ ( SV121 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV2 @ ( SV120 @ SX1 @ SX2 ) @ ( SV121 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV2 @ ( SV120 @ SX0 @ SX1 ) @ ( SV121 @ SX0 @ SX1 ) ) ) ) )
@ ( SV121
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV2 @ ( SV120 @ SX1 @ SX2 ) @ ( SV121 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV2 @ ( SV120 @ SX1 @ SX2 ) @ ( SV121 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV2 @ ( SV120 @ SX1 @ SX2 ) @ ( SV121 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV2 @ ( SV120 @ SX0 @ SX1 ) @ ( SV121 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV2 @ ( SV120 @ SX0 @ SX1 ) @ ( SV121 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV2 @ ( SV120 @ SX0 @ SX1 ) @ ( SV121 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV2 @ ( SV120 @ SX0 @ SX1 ) @ ( SV121 @ SX0 @ SX1 ) ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV2 @ ( SV120 @ SX0 @ SX1 ) @ ( SV121 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[13:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( sK1_SV2 @ ( SV120 @ SX0 @ SX1 ) @ ( SV121 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(27,plain,
! [SV117: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( SV117
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV117 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV117 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV117 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[13:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(28,plain,
! [SV117: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( SV117
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV117 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV117 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV117 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[13:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(29,plain,
! [SV117: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( SV117
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV117 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV117 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV117 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[13:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV117 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(30,plain,
( ( ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[13:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ SX1 ) ))]]) ).
thf(31,plain,
! [SV110: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( SV110
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV110 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV110 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV110 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[13:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) ) ))]]) ).
thf(32,plain,
! [SV110: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( SV110
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV110 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV110 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV110 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[13:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) ) ))]]) ).
thf(33,plain,
! [SV110: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( SV110
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV110 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV110 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV110 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) )
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[13:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV110 @ SX0 @ SX1 ) ) ))]]) ).
thf(34,plain,
( ( ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : SX1 )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK13_E
@ ^ [SX0: $i > $i,SX1: $i] : SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[13:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : SX1 ))]]) ).
thf(35,plain,
! [SV218: ( $i > $i ) > $i > $i,SV217: ( $i > $i ) > $i > ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ( SV217
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV2 @ ( SV217 @ SX1 @ SX2 ) @ ( SV218 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV2 @ ( SV217 @ SX1 @ SX2 ) @ ( SV218 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV2 @ ( SV217 @ SX1 @ SX2 ) @ ( SV218 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV217 @ SX0 @ SX1 ) @ ( SV218 @ SX0 @ SX1 ) ) ) )
@ ( SV218
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV2 @ ( SV217 @ SX1 @ SX2 ) @ ( SV218 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV2 @ ( SV217 @ SX1 @ SX2 ) @ ( SV218 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( sK1_SV2 @ ( SV217 @ SX1 @ SX2 ) @ ( SV218 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV217 @ SX0 @ SX1 ) @ ( SV218 @ SX0 @ SX1 ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV217 @ SX0 @ SX1 ) @ ( SV218 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV217 @ SX0 @ SX1 ) @ ( SV218 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV217 @ SX0 @ SX1 ) @ ( SV218 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV217 @ SX0 @ SX1 ) @ ( SV218 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV217 @ SX0 @ SX1 ) @ ( SV218 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV217 @ SX0 @ SX1 ) @ ( SV218 @ SX0 @ SX1 ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( sK1_SV2 @ ( SV217 @ SX0 @ SX1 ) @ ( SV218 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( sK1_SV2 @ ( SV217 @ SX0 @ SX1 ) @ ( SV218 @ SX0 @ SX1 ) ) ))]]) ).
thf(36,plain,
! [SV225: ( $i > $i ) > $i > $i,SV224: ( $i > $i ) > $i > ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ( SV224
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV2 @ ( SV224 @ SX1 @ SX2 ) @ ( SV225 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV2 @ ( SV224 @ SX1 @ SX2 ) @ ( SV225 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV2 @ ( SV224 @ SX1 @ SX2 ) @ ( SV225 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV2 @ ( SV224 @ SX0 @ SX1 ) @ ( SV225 @ SX0 @ SX1 ) ) ) ) )
@ ( SV225
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV2 @ ( SV224 @ SX1 @ SX2 ) @ ( SV225 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV2 @ ( SV224 @ SX1 @ SX2 ) @ ( SV225 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( sK1_SV2 @ ( SV224 @ SX1 @ SX2 ) @ ( SV225 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV2 @ ( SV224 @ SX0 @ SX1 ) @ ( SV225 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV2 @ ( SV224 @ SX0 @ SX1 ) @ ( SV225 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV2 @ ( SV224 @ SX0 @ SX1 ) @ ( SV225 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV2 @ ( SV224 @ SX0 @ SX1 ) @ ( SV225 @ SX0 @ SX1 ) ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( sK1_SV2 @ ( SV224 @ SX0 @ SX1 ) @ ( SV225 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( sK1_SV2 @ ( SV224 @ SX0 @ SX1 ) @ ( SV225 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(37,plain,
! [SV221: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) )
@ ( SV221
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV221 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV221 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV221 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(38,plain,
! [SV221: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) )
@ ( SV221
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV221 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV221 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV221 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(39,plain,
! [SV221: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) )
@ ( SV221
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV221 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV221 @ SX1 @ SX2 ) ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SX1 @ ( SV221 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SX0 @ ( SV221 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(40,plain,
( ( ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ SX1 ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ SX1 ) ))]]) ).
thf(41,plain,
! [SV214: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( SV214
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV214 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV214 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV214 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) ) ))]]) ).
thf(42,plain,
! [SV214: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( SV214
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV214 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV214 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV214 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) ) ))]]) ).
thf(43,plain,
! [SV214: ( $i > $i ) > $i > $i] :
( ( ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( SV214
@ ^ [SX0: $i] :
( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV214 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV214 @ SX1 @ SX2 ) )
@ ( sK1_SV2
@ ^ [SX1: $i > $i,SX2: $i] : ( SX1 @ ( SV214 @ SX1 @ SX2 ) )
@ SX0 ) ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) )
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : ( SX0 @ ( SV214 @ SX0 @ SX1 ) ) ))]]) ).
thf(44,plain,
( ( ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : SX1 )
= ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK1_SV2
@ ^ [SX0: $i > $i,SX1: $i] : SX1
@ ( sK2_SV3
@ ^ [SX0: $i > $i,SX1: $i] : SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[14:[bind(SV1,$thf( ^ [SX0: $i > $i] : ^ [SX1: $i] : SX1 ))]]) ).
thf(45,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13]) ).
thf(46,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM020^1 : TPTP v8.1.0. Released v3.6.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 07:23:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 2009
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (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
% 25.21/25.42 ..........
% 76.50/76.75 (rf:0,axioms:0,ps:3,u:3,ude:true,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
% 101.60/101.88 ......
% 117.23/117.62
% 117.23/117.62 ********************************
% 117.23/117.62 * All subproblems solved! *
% 117.23/117.62 ********************************
% 117.23/117.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:3,ude:true,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:45,loop_count:0,foatp_calls:2,translation:fof_full)
% 117.23/117.62
% 117.23/117.62 %**** Beginning of derivation protocol ****
% 117.23/117.62 % SZS output start CNFRefutation
% See solution above
% 117.23/117.62
% 117.23/117.62 %**** End of derivation protocol ****
% 117.23/117.62 %**** no. of clauses in derivation: 46 ****
% 117.23/117.62 %**** clause counter: 45 ****
% 117.23/117.62
% 117.23/117.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:3,ude:true,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:45,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------