TSTP Solution File: SYO509^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO509^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.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 : 300s
% DateTime : Tue May 21 09:05:35 EDT 2024
% Result : Theorem 2.20s 0.69s
% Output : Refutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 34
% Syntax : Number of formulae : 129 ( 19 unt; 22 typ; 0 def)
% Number of atoms : 1065 ( 229 equ; 0 cnn)
% Maximal formula atoms : 7 ( 9 avg)
% Number of connectives : 4065 ( 225 ~; 202 |; 0 &;3484 @)
% ( 3 <=>; 126 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 1570 (1570 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 23 usr; 9 con; 0-4 aty)
% ( 5 !!; 20 ??; 0 @@+; 0 @@-)
% Number of variables : 1977 (1821 ^ 143 !; 12 ?;1977 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_13,type,
sF0: ( ( ( a > b > $o ) > a ) > $o ) > $o ).
thf(func_def_14,type,
sF1: ( ( ( a > b > $o ) > b ) > $o ) > $o ).
thf(func_def_15,type,
sF2: ( ( a > b > $o ) > $o ) > $o ).
thf(func_def_16,type,
sF3: ( b > $o ) > $o ).
thf(func_def_17,type,
sF4: ( a > $o ) > $o ).
thf(func_def_18,type,
sF5: ( ( a > b > $o ) > a ) > $o ).
thf(func_def_22,type,
ph9:
!>[X0: $tType] : X0 ).
thf(func_def_23,type,
sK10: ( b > $o ) > b ).
thf(func_def_24,type,
sK11: ( a > $o ) > a ).
thf(func_def_25,type,
sK12: ( ( a > b > $o ) > $o ) > a > b > $o ).
thf(func_def_26,type,
sK13: ( ( ( a > b > $o ) > a ) > $o ) > ( a > b > $o ) > a ).
thf(func_def_27,type,
sK14: ( ( ( a > b > $o ) > b ) > $o ) > ( a > b > $o ) > b ).
thf(func_def_31,type,
sK15: ( ( a > b > $o ) > b > a > $o ) > ( ( a > b > $o ) > b > a > $o ) > a ).
thf(func_def_32,type,
sK16: ( ( a > b > $o ) > b > a > $o ) > ( ( a > b > $o ) > b > a > $o ) > a > b > $o ).
thf(func_def_33,type,
sK17: ( ( a > b > $o ) > b > a > a ) > ( ( a > b > $o ) > b > a > a ) > a ).
thf(func_def_34,type,
sK18: ( ( a > b > $o ) > b > a > a ) > b ).
thf(func_def_35,type,
sK19: ( ( a > b > $o ) > b > a > a ) > a ).
thf(func_def_36,type,
sK20: ( ( a > b > $o ) > b > a > a ) > a > b > $o ).
thf(f255,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f38,f41,f254]) ).
thf(f254,plain,
~ spl8_1,
inference(avatar_contradiction_clause,[],[f253]) ).
thf(f253,plain,
( $false
| ~ spl8_1 ),
inference(trivial_inequality_removal,[],[f252]) ).
thf(f252,plain,
( ( ( ^ [Y0: b,Y1: a] :
( sK20
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : Y4
@ Y1
@ Y0 ) )
!= ( ^ [Y0: b,Y1: a] :
( sK20
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : Y4
@ Y1
@ Y0 ) ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ Y1
@ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ Y1
@ Y0 ) ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f251]) ).
thf(f251,plain,
( ( ( ^ [Y0: b,Y1: a] :
( sK20
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : Y4
@ Y1
@ Y0 ) )
!= ( ^ [Y0: b,Y1: a] :
( sK20
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : Y4
@ ( ^ [Y2: a > b > $o,Y3: b,Y4: a] : Y4
@ ( sK20
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : Y4 )
@ Y0
@ Y1 )
@ Y0 ) ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 )
@ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ ( ^ [Y2: a > b > $o,Y3: b,Y4: a] : Y4
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 )
@ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 )
@ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ Y1
@ Y0 ) ) ) )
| ~ spl8_1 ),
inference(equality_resolution,[],[f250]) ).
thf(f250,plain,
( ! [X0: ( a > b > $o ) > b > a > a] :
( ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : Y4 )
!= ( ^ [Y0: b,Y1: a] : X0 ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ Y1
@ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) ) )
| ( ( ^ [Y0: b,Y1: a] : ( sK20 @ X0 @ Y1 @ Y0 ) )
!= ( ^ [Y0: b,Y1: a] : ( sK20 @ X0 @ ( X0 @ ( sK20 @ X0 ) @ Y0 @ Y1 ) @ Y0 ) ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f249]) ).
thf(f249,plain,
( ! [X0: ( a > b > $o ) > b > a > a] :
( ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : Y4 )
!= ( ^ [Y0: b,Y1: a] : X0 ) )
| ( ( ^ [Y0: a > b > $o,Y1: b,Y2: a] : ( Y0 @ Y2 @ Y1 )
@ ( sK20 @ X0 ) )
!= ( ^ [Y0: a > b > $o,Y1: b,Y2: a] : ( Y0 @ ( X0 @ Y0 @ Y1 @ Y2 ) @ Y1 )
@ ( sK20 @ X0 ) ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ Y1
@ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) ) ) )
| ~ spl8_1 ),
inference(negative_extensionality,[],[f248]) ).
thf(f248,plain,
( ! [X0: ( a > b > $o ) > b > a > a] :
( ( ( ^ [Y0: a > b > $o,Y1: b,Y2: a] : ( Y0 @ Y2 @ Y1 ) )
!= ( ^ [Y0: a > b > $o,Y1: b,Y2: a] : ( Y0 @ ( X0 @ Y0 @ Y1 @ Y2 ) @ Y1 ) ) )
| ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : Y4 )
!= ( ^ [Y0: b,Y1: a] : X0 ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ Y1
@ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f247]) ).
thf(f247,plain,
( ! [X0: ( a > b > $o ) > b > a > a] :
( ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ Y1
@ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) ) )
| ( ( ^ [Y0: a,Y1: a > b > $o,Y2: b,Y3: a] : ( Y1 @ ( X0 @ Y1 @ Y2 @ Y3 ) @ Y2 )
@ ( sK19 @ X0 ) )
!= ( ^ [Y0: a,Y1: a > b > $o,Y2: b,Y3: a] : ( Y1 @ Y3 @ Y2 )
@ ( sK19 @ X0 ) ) )
| ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : Y4 )
!= ( ^ [Y0: b,Y1: a] : X0 ) ) )
| ~ spl8_1 ),
inference(negative_extensionality,[],[f246]) ).
thf(f246,plain,
( ! [X0: ( a > b > $o ) > b > a > a] :
( ( ( ^ [Y0: a,Y1: a > b > $o,Y2: b,Y3: a] : ( Y1 @ ( X0 @ Y1 @ Y2 @ Y3 ) @ Y2 ) )
!= ( ^ [Y0: a,Y1: a > b > $o,Y2: b,Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
| ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : Y4 )
!= ( ^ [Y0: b,Y1: a] : X0 ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ Y1
@ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f245]) ).
thf(f245,plain,
( ! [X0: ( a > b > $o ) > b > a > a] :
( ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ( sK18 @ X0 ) )
!= ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ ( sK18 @ X0 ) ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ Y1
@ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) ) )
| ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : Y4 )
!= ( ^ [Y0: b,Y1: a] : X0 ) ) )
| ~ spl8_1 ),
inference(negative_extensionality,[],[f244]) ).
thf(f244,plain,
( ! [X0: ( a > b > $o ) > b > a > a] :
( ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 ) )
!= ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) ) )
| ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : Y4 )
!= ( ^ [Y0: b,Y1: a] : X0 ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ Y1
@ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ Y4 @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f243]) ).
thf(f243,plain,
( ! [X0: ( a > b > $o ) > b > a > a] :
( ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : Y4 )
!= ( ^ [Y0: b,Y1: a] : X0 ) )
| ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] :
( Y2
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 )
@ Y3 ) )
!= ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 )
@ Y3 )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 )
@ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 )
@ Y3 )
@ ( ^ [Y2: a > b > $o,Y3: b,Y4: a] : Y4
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 )
@ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) ) ) )
| ~ spl8_1 ),
inference(equality_resolution,[],[f242]) ).
thf(f242,plain,
( ! [X0: ( a > b > $o ) > b > a > a,X1: ( a > b > $o ) > b > a > a] :
( ( ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ ( X0 @ Y0 @ Y1 @ Y2 ) @ Y1 ) ) ) ) ) ) )
!= ( ^ [Y0: b,Y1: a] : Y1 ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ( X1
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) ) )
| ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) )
!= ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ Y3 ) ) )
| ( ( ^ [Y0: b,Y1: a] : X0 )
!= ( ^ [Y0: b,Y1: a] : X1 ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f241]) ).
thf(f241,plain,
( ! [X0: ( a > b > $o ) > b > a > a,X1: ( a > b > $o ) > b > a > a] :
( ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ( X1
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) ) )
| ( ( ^ [Y0: b,Y1: a] : X0 )
!= ( ^ [Y0: b,Y1: a] : X1 ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b,Y5: a] : ( Y3 @ ( X1 @ Y3 @ Y4 @ Y5 ) @ Y4 )
@ ( sK17 @ X1 @ X0 ) )
!= ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b,Y5: a] : ( Y3 @ ( X0 @ Y3 @ Y4 @ Y5 ) @ Y4 )
@ ( sK17 @ X1 @ X0 ) ) )
| ( ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ ( X0 @ Y0 @ Y1 @ Y2 ) @ Y1 ) ) ) ) ) ) )
!= ( ^ [Y0: b,Y1: a] : Y1 ) ) )
| ~ spl8_1 ),
inference(negative_extensionality,[],[f240]) ).
thf(f240,plain,
( ! [X0: ( a > b > $o ) > b > a > a,X1: ( a > b > $o ) > b > a > a] :
( ( ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b,Y5: a] : ( Y3 @ ( X1 @ Y3 @ Y4 @ Y5 ) @ Y4 ) )
!= ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b,Y5: a] : ( Y3 @ ( X0 @ Y3 @ Y4 @ Y5 ) @ Y4 ) ) )
| ( ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ ( X0 @ Y0 @ Y1 @ Y2 ) @ Y1 ) ) ) ) ) ) )
!= ( ^ [Y0: b,Y1: a] : Y1 ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ( X1
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) ) )
| ( ( ^ [Y0: b,Y1: a] : X0 )
!= ( ^ [Y0: b,Y1: a] : X1 ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f239]) ).
thf(f239,plain,
( ! [X0: ( a > b > $o ) > b > a > a,X1: ( a > b > $o ) > b > a > a] :
( ( ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ ( X0 @ Y0 @ Y1 @ Y2 ) @ Y1 ) ) ) ) ) ) )
!= ( ^ [Y0: b,Y1: a] : Y1 ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b,Y5: a] :
( Y3 @ ( X1 @ Y3 @ Y4 @ Y5 )
@ ( ^ [Y6: a > b > $o,Y7: b,Y8: a] : Y7
@ Y3
@ Y4
@ Y5 ) ) )
!= ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b,Y5: a] : ( Y3 @ ( X0 @ Y3 @ Y4 @ Y5 ) @ Y4 ) ) )
| ( ( ^ [Y0: b,Y1: a] : X0 )
!= ( ^ [Y0: b,Y1: a] : X1 ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ( X1
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) )
@ Y0
@ Y1 )
@ ( ^ [Y2: a > b > $o,Y3: b,Y4: a] : Y3
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) )
@ Y0
@ Y1 ) ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) ) ) )
| ~ spl8_1 ),
inference(equality_resolution,[],[f238]) ).
thf(f238,plain,
( ! [X2: ( a > b > $o ) > b > a > b,X0: ( a > b > $o ) > b > a > a,X1: ( a > b > $o ) > b > a > a] :
( ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : Y3 )
!= ( ^ [Y0: b,Y1: a] : X2 ) )
| ( ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ ( X0 @ Y0 @ Y1 @ Y2 ) @ Y1 ) ) ) ) ) ) )
!= ( ^ [Y0: b,Y1: a] : Y1 ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ( X1
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) )
@ Y0
@ Y1 )
@ ( X2
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) )
@ Y0
@ Y1 ) ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ Y3 ) )
@ Y0
@ Y1 )
@ Y0 ) ) ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b,Y5: a] : ( Y3 @ ( X1 @ Y3 @ Y4 @ Y5 ) @ ( X2 @ Y3 @ Y4 @ Y5 ) ) )
!= ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b,Y5: a] : ( Y3 @ ( X0 @ Y3 @ Y4 @ Y5 ) @ Y4 ) ) )
| ( ( ^ [Y0: b,Y1: a] : X0 )
!= ( ^ [Y0: b,Y1: a] : X1 ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f237]) ).
thf(f237,plain,
( ! [X2: ( a > b > $o ) > b > a > b,X0: ( a > b > $o ) > b > a > a,X1: ( a > b > $o ) > b > a > a] :
( ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 ) )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 ) ) )
@ Y0
@ Y1 )
@ ( ^ [Y2: a > b > $o,Y3: b,Y4: a] : Y3
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 ) ) )
@ Y0
@ Y1 ) ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 ) )
@ ( X1
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 ) ) )
@ Y0
@ Y1 )
@ ( X2
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] :
( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: a > b > $o,Y6: b,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 ) ) )
@ Y0
@ Y1 ) ) ) ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b,Y5: a] :
( Y3 @ ( X0 @ Y3 @ Y4 @ Y5 )
@ ( ^ [Y6: a > b > $o,Y7: b,Y8: a] : Y7
@ Y3
@ Y4
@ Y5 ) ) )
!= ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b,Y5: a] : ( Y3 @ ( X1 @ Y3 @ Y4 @ Y5 ) @ ( X2 @ Y3 @ Y4 @ Y5 ) ) ) )
| ( ( ^ [Y0: b,Y1: a] : X0 )
!= ( ^ [Y0: b,Y1: a] : X1 ) )
| ( ( ^ [Y0: b,Y1: a] : Y1 )
!= ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] :
( Y0 @ ( X0 @ Y0 @ Y1 @ Y2 )
@ ( ^ [Y3: a > b > $o,Y4: b,Y5: a] : Y4
@ Y0
@ Y1
@ Y2 ) ) ) ) ) ) ) ) )
| ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : Y3 )
!= ( ^ [Y0: b,Y1: a] : X2 ) ) )
| ~ spl8_1 ),
inference(equality_resolution,[],[f236]) ).
thf(f236,plain,
( ! [X2: ( a > b > $o ) > b > a > b,X3: ( a > b > $o ) > b > a > b,X0: ( a > b > $o ) > b > a > a,X1: ( a > b > $o ) > b > a > a] :
( ( ( X3
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ ( X1 @ Y0 @ Y1 @ Y2 ) @ ( X3 @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) )
!= ( ^ [Y0: b,Y1: a] : Y0 ) )
| ( ( X1
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ ( X1 @ Y0 @ Y1 @ Y2 ) @ ( X3 @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) )
!= ( ^ [Y0: b,Y1: a] : Y1 ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b,Y5: a] : ( Y3 @ ( X1 @ Y3 @ Y4 @ Y5 ) @ ( X3 @ Y3 @ Y4 @ Y5 ) ) )
!= ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b,Y5: a] : ( Y3 @ ( X0 @ Y3 @ Y4 @ Y5 ) @ ( X2 @ Y3 @ Y4 @ Y5 ) ) ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X3 @ Y2 @ Y3 @ Y4 ) )
@ ( X0
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X3 @ Y2 @ Y3 @ Y4 ) ) )
@ Y0
@ Y1 )
@ ( X2
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X3 @ Y2 @ Y3 @ Y4 ) ) )
@ Y0
@ Y1 ) ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X3 @ Y2 @ Y3 @ Y4 ) )
@ ( X1
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X3 @ Y2 @ Y3 @ Y4 ) ) )
@ Y0
@ Y1 )
@ ( X3
@ ( sK16
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X0 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y2 @ Y3 @ Y4 ) )
@ ^ [Y2: a > b > $o,Y3: b,Y4: a] : ( Y2 @ ( X1 @ Y2 @ Y3 @ Y4 ) @ ( X3 @ Y2 @ Y3 @ Y4 ) ) )
@ Y0
@ Y1 ) ) ) ) )
| ( ( ^ [Y0: b,Y1: a] : X2 )
!= ( ^ [Y0: b,Y1: a] : X3 ) )
| ( ( ^ [Y0: b,Y1: a] : X0 )
!= ( ^ [Y0: b,Y1: a] : X1 ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f235]) ).
thf(f235,plain,
( ! [X2: ( a > b > $o ) > b > a > b,X3: ( a > b > $o ) > b > a > b,X0: ( a > b > $o ) > b > a > a,X1: ( a > b > $o ) > b > a > a] :
( ( ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b,Y5: a] : ( Y3 @ ( X1 @ Y3 @ Y4 @ Y5 ) @ ( X3 @ Y3 @ Y4 @ Y5 ) ) )
!= ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b,Y5: a] : ( Y3 @ ( X0 @ Y3 @ Y4 @ Y5 ) @ ( X2 @ Y3 @ Y4 @ Y5 ) ) ) )
| ( ( ^ [Y0: b,Y1: a] : Y0 )
!= ( ^ [Y0: b,Y1: a] :
( X3
@ ( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y2 @ Y5 @ Y4 ) ) ) ) )
@ ( sK10
@ ^ [Y3: b] :
( sF4
@ ( ^ [Y4: a > b > $o,Y5: b,Y6: a] : ( Y4 @ ( X1 @ Y4 @ Y5 @ Y6 ) @ ( X3 @ Y4 @ Y5 @ Y6 ) )
@ Y2
@ Y3 ) ) ) ) ) )
@ Y0
@ Y1 ) ) )
| ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : ( X2 @ Y2 @ Y3 @ Y4 ) )
!= ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : ( X3 @ Y2 @ Y3 @ Y4 ) ) )
| ( ( ^ [Y0: b,Y1: a] : Y1 )
!= ( ^ [Y0: b,Y1: a] :
( X1
@ ( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y2 @ Y5 @ Y4 ) ) ) ) )
@ ( sK10
@ ^ [Y3: b] :
( sF4
@ ( ^ [Y4: a > b > $o,Y5: b,Y6: a] : ( Y4 @ ( X1 @ Y4 @ Y5 @ Y6 ) @ ( X3 @ Y4 @ Y5 @ Y6 ) )
@ Y2
@ Y3 ) ) ) ) ) )
@ Y0
@ Y1 ) ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ( ^ [Y1: a > b > $o,Y2: b,Y3: a] : ( Y1 @ ( X1 @ Y1 @ Y2 @ Y3 ) @ ( X3 @ Y1 @ Y2 @ Y3 ) )
@ ( sK16
@ ^ [Y1: a > b > $o,Y2: b,Y3: a] : ( Y1 @ ( X0 @ Y1 @ Y2 @ Y3 ) @ ( X2 @ Y1 @ Y2 @ Y3 ) )
@ ^ [Y1: a > b > $o,Y2: b,Y3: a] : ( Y1 @ ( X1 @ Y1 @ Y2 @ Y3 ) @ ( X3 @ Y1 @ Y2 @ Y3 ) ) )
@ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ( ^ [Y1: a > b > $o,Y2: b,Y3: a] : ( Y1 @ ( X0 @ Y1 @ Y2 @ Y3 ) @ ( X2 @ Y1 @ Y2 @ Y3 ) )
@ ( sK16
@ ^ [Y1: a > b > $o,Y2: b,Y3: a] : ( Y1 @ ( X0 @ Y1 @ Y2 @ Y3 ) @ ( X2 @ Y1 @ Y2 @ Y3 ) )
@ ^ [Y1: a > b > $o,Y2: b,Y3: a] : ( Y1 @ ( X1 @ Y1 @ Y2 @ Y3 ) @ ( X3 @ Y1 @ Y2 @ Y3 ) ) )
@ Y0 ) ) ) )
| ( ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : ( X0 @ Y2 @ Y3 @ Y4 ) )
!= ( ^ [Y0: b,Y1: a,Y2: a > b > $o,Y3: b,Y4: a] : ( X1 @ Y2 @ Y3 @ Y4 ) ) ) )
| ~ spl8_1 ),
inference(equality_resolution,[],[f234]) ).
thf(f234,plain,
( ! [X0: ( a > b > $o ) > b > a > $o,X1: ( a > b > $o ) > b > a > $o] :
( ( ( ^ [Y0: b,Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y2 @ Y5 @ Y4 ) ) ) ) )
@ ( sK10
@ ^ [Y3: b] : ( sF4 @ ( X1 @ Y2 @ Y3 ) ) ) ) )
@ Y1
@ Y0 ) )
!= ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ( ( sK10
@ ^ [Y0: b] : ( sF4 @ ( X1 @ ( sK16 @ X1 @ X0 ) @ Y0 ) ) )
!= ( sK10
@ ^ [Y0: b] : ( sF4 @ ( X0 @ ( sK16 @ X1 @ X0 ) @ Y0 ) ) ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a] : X0 )
!= ( ^ [Y0: a,Y1: b,Y2: a] : X1 ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f233]) ).
thf(f233,plain,
( ! [X0: ( a > b > $o ) > b > a > $o,X1: ( a > b > $o ) > b > a > $o] :
( ( ( ^ [Y0: a,Y1: b,Y2: a] : X0 )
!= ( ^ [Y0: a,Y1: b,Y2: a] : X1 ) )
| ( ( ^ [Y0: b,Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y2 @ Y5 @ Y4 ) ) ) ) )
@ ( sK10
@ ^ [Y3: b] : ( sF4 @ ( X1 @ Y2 @ Y3 ) ) ) ) )
@ Y1
@ Y0 ) )
!= ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ( ( ^ [Y0: a > b > $o] :
( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) )
@ ( sK16 @ X1 @ X0 ) )
!= ( ^ [Y0: a > b > $o] :
( sK10
@ ^ [Y1: b] : ( sF4 @ ( X1 @ Y0 @ Y1 ) ) )
@ ( sK16 @ X1 @ X0 ) ) ) )
| ~ spl8_1 ),
inference(negative_extensionality,[],[f232]) ).
thf(f232,plain,
( ! [X0: ( a > b > $o ) > b > a > $o,X1: ( a > b > $o ) > b > a > $o] :
( ( ( ^ [Y0: a > b > $o] :
( sK10
@ ^ [Y1: b] : ( sF4 @ ( X1 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: a > b > $o] :
( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) ) )
| ( ( ^ [Y0: b,Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y2 @ Y5 @ Y4 ) ) ) ) )
@ ( sK10
@ ^ [Y3: b] : ( sF4 @ ( X1 @ Y2 @ Y3 ) ) ) ) )
@ Y1
@ Y0 ) )
!= ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a] : X0 )
!= ( ^ [Y0: a,Y1: b,Y2: a] : X1 ) ) )
| ~ spl8_1 ),
inference(duplicate_literal_removal,[],[f231]) ).
thf(f231,plain,
( ! [X0: ( a > b > $o ) > b > a > $o,X1: ( a > b > $o ) > b > a > $o] :
( ( ( ^ [Y0: b,Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y2 @ Y5 @ Y4 ) ) ) ) )
@ ( sK10
@ ^ [Y3: b] : ( sF4 @ ( X1 @ Y2 @ Y3 ) ) ) ) )
@ Y1
@ Y0 ) )
!= ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ( ( ^ [Y0: a > b > $o] :
( sK10
@ ^ [Y1: b] : ( sF4 @ ( X1 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: a > b > $o] :
( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) ) )
| ( ( ^ [Y0: a > b > $o] :
( sK10
@ ^ [Y1: b] : ( sF4 @ ( X1 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: a > b > $o] :
( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a] : X0 )
!= ( ^ [Y0: a,Y1: b,Y2: a] : X1 ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f230]) ).
thf(f230,plain,
( ! [X0: ( a > b > $o ) > b > a > $o,X1: ( a > b > $o ) > b > a > $o] :
( ( ( ^ [Y0: a,Y1: b,Y2: a] : X0 )
!= ( ^ [Y0: a,Y1: b,Y2: a] : X1 ) )
| ( ( ^ [Y0: b,Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y2 @ Y5 @ Y4 ) ) ) ) )
@ ( sK10
@ ^ [Y3: b] : ( sF4 @ ( X1 @ Y2 @ Y3 ) ) ) ) )
@ Y1
@ Y0 ) )
!= ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ( ( ^ [Y0: a,Y1: a > b > $o] :
( sK10
@ ^ [Y2: b] : ( sF4 @ ( X0 @ Y1 @ Y2 ) ) )
@ ( sK15 @ X1 @ X0 ) )
!= ( ^ [Y0: a,Y1: a > b > $o] :
( sK10
@ ^ [Y2: b] : ( sF4 @ ( X1 @ Y1 @ Y2 ) ) )
@ ( sK15 @ X1 @ X0 ) ) )
| ( ( ^ [Y0: a > b > $o] :
( sK10
@ ^ [Y1: b] : ( sF4 @ ( X1 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: a > b > $o] :
( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl8_1 ),
inference(negative_extensionality,[],[f229]) ).
thf(f229,plain,
( ! [X0: ( a > b > $o ) > b > a > $o,X1: ( a > b > $o ) > b > a > $o] :
( ( ( ^ [Y0: a,Y1: a > b > $o] :
( sK10
@ ^ [Y2: b] : ( sF4 @ ( X0 @ Y1 @ Y2 ) ) ) )
!= ( ^ [Y0: a,Y1: a > b > $o] :
( sK10
@ ^ [Y2: b] : ( sF4 @ ( X1 @ Y1 @ Y2 ) ) ) ) )
| ( ( ^ [Y0: a > b > $o] :
( sK10
@ ^ [Y1: b] : ( sF4 @ ( X1 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: a > b > $o] :
( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) ) )
| ( ( ^ [Y0: b,Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y2 @ Y5 @ Y4 ) ) ) ) )
@ ( sK10
@ ^ [Y3: b] : ( sF4 @ ( X1 @ Y2 @ Y3 ) ) ) ) )
@ Y1
@ Y0 ) )
!= ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a] : X0 )
!= ( ^ [Y0: a,Y1: b,Y2: a] : X1 ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f228]) ).
thf(f228,plain,
( ! [X0: ( a > b > $o ) > b > a > $o,X1: ( a > b > $o ) > b > a > $o] :
( ( ( ^ [Y0: a > b > $o] :
( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: a > b > $o] :
( sK10
@ ( ^ [Y1: a > b > $o,Y2: b] : ( sF4 @ ( X1 @ Y1 @ Y2 ) )
@ Y0 ) ) ) )
| ( ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ) )
!= ( ^ [Y0: b,Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y2 @ Y5 @ Y4 ) ) ) ) )
@ ( ^ [Y3: a > b > $o] :
( sK10
@ ( ^ [Y4: a > b > $o,Y5: b] : ( sF4 @ ( X1 @ Y4 @ Y5 ) )
@ Y3 ) )
@ Y2 ) ) )
@ Y1
@ Y0 ) ) )
| ( ( ^ [Y0: a,Y1: a > b > $o] :
( sK10
@ ( ^ [Y2: a > b > $o,Y3: b] : ( sF4 @ ( X1 @ Y2 @ Y3 ) )
@ Y1 ) ) )
!= ( ^ [Y0: a,Y1: a > b > $o] :
( sK10
@ ^ [Y2: b] : ( sF4 @ ( X0 @ Y1 @ Y2 ) ) ) ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b] : ( X1 @ Y3 @ Y4 ) )
!= ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o,Y4: b] : ( X0 @ Y3 @ Y4 ) ) ) )
| ~ spl8_1 ),
inference(equality_resolution,[],[f227]) ).
thf(f227,plain,
( ! [X0: ( a > b > $o ) > b > a > $o,X1: ( a > b > $o ) > b] :
( ( ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o] :
( sK10
@ ^ [Y4: b] : ( sF4 @ ( X0 @ Y3 @ Y4 ) ) ) )
!= ( ^ [Y0: a,Y1: b,Y2: a] : X1 ) )
| ( ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ) )
!= ( ^ [Y0: b,Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y2 @ Y5 @ Y4 ) ) ) ) )
@ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) ) )
| ( ( ^ [Y0: a > b > $o] :
( sK10
@ ^ [Y1: b] : ( sF4 @ ( X0 @ Y0 @ Y1 ) ) ) )
!= X1 )
| ( ( ^ [Y0: a] : X1 )
!= ( ^ [Y0: a,Y1: a > b > $o] :
( sK10
@ ^ [Y2: b] : ( sF4 @ ( X0 @ Y1 @ Y2 ) ) ) ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f226]) ).
thf(f226,plain,
( ! [X0: ( a > b > $o ) > b > a > $o,X1: ( a > b > $o ) > b] :
( ( ( ^ [Y0: a,Y1: a > b > $o] :
( sK10
@ ( ^ [Y2: a > b > $o,Y3: b] : ( sF4 @ ( X0 @ Y2 @ Y3 ) )
@ Y1 ) ) )
!= ( ^ [Y0: a] : X1 ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a] : X1 )
!= ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o] :
( sK10
@ ( ^ [Y4: a > b > $o,Y5: b] : ( sF4 @ ( X0 @ Y4 @ Y5 ) )
@ Y3 ) ) ) )
| ( ( ^ [Y0: a > b > $o] :
( sK10
@ ( ^ [Y1: a > b > $o,Y2: b] : ( sF4 @ ( X0 @ Y1 @ Y2 ) )
@ Y0 ) ) )
!= X1 )
| ( ( ^ [Y0: b] :
( X0
@ ( sK12
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1
@ ( sK11
@ ^ [Y2: a] :
( Y1 @ Y2
@ ( sK10
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y1 @ Y4 @ Y3 ) ) ) ) )
@ ( ^ [Y2: a > b > $o] :
( sK10
@ ( ^ [Y3: a > b > $o,Y4: b] : ( sF4 @ ( X0 @ Y3 @ Y4 ) )
@ Y2 ) )
@ Y1 ) ) ) )
@ Y0 ) )
!= ( ^ [Y0: b,Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y2 @ Y5 @ Y4 ) ) ) ) )
@ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) ) ) )
| ~ spl8_1 ),
inference(equality_resolution,[],[f225]) ).
thf(f225,plain,
( ! [X0: ( a > b > $o ) > b,X1: ( a > b > $o ) > b] :
( ( ( X1
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ ( X1 @ Y0 ) ) ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y2 @ Y5 @ Y4 ) ) ) ) )
@ ( X0 @ Y2 ) ) )
@ Y1
@ Y0 ) ) ) )
| ( ( ^ [Y0: a] : X0 )
!= ( ^ [Y0: a] : X1 ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a] : X0 )
!= ( ^ [Y0: a,Y1: b,Y2: a] : X1 ) )
| ( X0 != X1 ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f224]) ).
thf(f224,plain,
( ! [X0: ( a > b > $o ) > b,X1: ( a > b > $o ) > b] :
( ( ( X1
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] :
( Y0
@ ( ^ [Y4: a > b > $o,Y5: a,Y6: b,Y7: a] : Y7
@ Y0
@ Y1
@ Y2
@ Y3 )
@ Y2 ) ) ) ) )
@ ( X1 @ Y0 ) ) ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] :
( Y2
@ ( ^ [Y6: a > b > $o,Y7: a,Y8: b,Y9: a] : Y9
@ Y2
@ Y3
@ Y4
@ Y5 )
@ Y4 ) ) ) ) )
@ ( X0 @ Y2 ) ) )
@ Y1
@ Y0 ) ) ) )
| ( X0 != X1 )
| ( ( ^ [Y0: a] : X0 )
!= ( ^ [Y0: a] : X1 ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a] : X0 )
!= ( ^ [Y0: a,Y1: b,Y2: a] : X1 ) ) )
| ~ spl8_1 ),
inference(equality_resolution,[],[f223]) ).
thf(f223,plain,
( ! [X2: ( a > b > $o ) > a > b > a > a,X0: ( a > b > $o ) > b,X1: ( a > b > $o ) > b] :
( ( ( X2
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 ) @ Y2 ) ) ) ) )
@ ( X1 @ Y0 ) ) ) ) )
!= ( ^ [Y0: a,Y1: b,Y2: a] : Y2 ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y2 @ ( X2 @ Y2 @ Y3 @ Y4 @ Y5 ) @ Y4 ) ) ) ) )
@ ( X0 @ Y2 ) ) )
@ Y1
@ Y0 ) ) )
!= ( X1
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y0 @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 ) @ Y2 ) ) ) ) )
@ ( X1 @ Y0 ) ) ) ) ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a] : X0 )
!= ( ^ [Y0: a,Y1: b,Y2: a] : X1 ) )
| ( X0 != X1 )
| ( ( ^ [Y0: a] : X0 )
!= ( ^ [Y0: a] : X1 ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f222]) ).
thf(f222,plain,
( ! [X2: ( a > b > $o ) > a > b > a > a,X0: ( a > b > $o ) > b,X1: ( a > b > $o ) > b] :
( ( X0 != X1 )
| ( ( ^ [Y0: a] : X0 )
!= ( ^ [Y0: a] : X1 ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o] : ( X0 @ Y3 ) )
!= ( ^ [Y0: a,Y1: b,Y2: a,Y3: a > b > $o] : ( X1 @ Y3 ) ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] :
( sF4
@ ( ^ [Y5: a > b > $o,Y6: a,Y7: b,Y8: a] :
( Y5 @ ( X2 @ Y5 @ Y6 @ Y7 @ Y8 )
@ ( ^ [Y9: a > b > $o,Y10: a,Y11: b,Y12: a] : Y11
@ Y5
@ Y6
@ Y7
@ Y8 ) )
@ Y2
@ Y3
@ Y4 ) ) ) ) )
@ ( X0 @ Y2 ) ) )
@ Y1
@ Y0 ) ) )
!= ( X1
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] :
( sF4
@ ( ^ [Y3: a > b > $o,Y4: a,Y5: b,Y6: a] :
( Y3 @ ( X2 @ Y3 @ Y4 @ Y5 @ Y6 )
@ ( ^ [Y7: a > b > $o,Y8: a,Y9: b,Y10: a] : Y9
@ Y3
@ Y4
@ Y5
@ Y6 ) )
@ Y0
@ Y1
@ Y2 ) ) ) ) )
@ ( X1 @ Y0 ) ) ) ) ) )
| ( ( ^ [Y0: a,Y1: b,Y2: a] :
( X2
@ ( sK12
@ ^ [Y3: a > b > $o] :
( ( sF3
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y3 @ Y5 @ Y4 ) ) )
=> ( Y3
@ ( sK11
@ ^ [Y4: a] :
( Y3 @ Y4
@ ( sK10
@ ^ [Y5: b] :
( sF4
@ ( ^ [Y6: a > b > $o,Y7: a,Y8: b,Y9: a] :
( Y6 @ ( X2 @ Y6 @ Y7 @ Y8 @ Y9 )
@ ( ^ [Y10: a > b > $o,Y11: a,Y12: b,Y13: a] : Y12
@ Y6
@ Y7
@ Y8
@ Y9 ) )
@ Y3
@ Y4
@ Y5 ) ) ) ) )
@ ( X1 @ Y3 ) ) ) )
@ Y0
@ Y1
@ Y2 ) )
!= ( ^ [Y0: a,Y1: b,Y2: a] : Y2 ) ) )
| ~ spl8_1 ),
inference(equality_resolution,[],[f221]) ).
thf(f221,plain,
( ! [X2: ( a > b > $o ) > b,X0: ( a > b > $o ) > a > b > a > $o,X1: ( a > b > $o ) > b] :
( ( ( ^ [Y0: a,Y1: b,Y2: a] :
( sK12
@ ^ [Y3: a > b > $o] :
( ( sF3
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y3 @ Y5 @ Y4 ) ) )
=> ( Y3
@ ( sK11
@ ^ [Y4: a] :
( Y3 @ Y4
@ ( sK10
@ ^ [Y5: b] : ( sF4 @ ( X0 @ Y3 @ Y4 @ Y5 ) ) ) ) )
@ ( X1 @ Y3 ) ) )
@ Y2
@ Y1 ) )
!= ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] : ( sF4 @ ( X0 @ Y0 @ Y1 @ Y2 ) ) ) ) )
@ ( X2 @ Y0 ) ) ) ) ) )
| ( ( X2
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( sK10
@ ^ [Y2: b] : ( sF4 @ ( X0 @ Y0 @ Y1 @ Y2 ) ) ) ) )
@ ( X2 @ Y0 ) ) ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( sK10
@ ^ [Y4: b] : ( sF4 @ ( X0 @ Y2 @ Y3 @ Y4 ) ) ) ) )
@ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) ) ) )
| ( X1 != X2 )
| ( ( ^ [Y0: a] : X1 )
!= ( ^ [Y0: a] : X2 ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f220]) ).
thf(f220,plain,
( ! [X2: ( a > b > $o ) > b,X0: ( a > b > $o ) > a > b > a > $o,X1: ( a > b > $o ) > b] :
( ( X1 != X2 )
| ( ( ^ [Y0: a,Y1: b,Y2: a] :
( sK12
@ ^ [Y3: a > b > $o] :
( ( sF3
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y3 @ Y5 @ Y4 ) ) )
=> ( Y3
@ ( sK11
@ ^ [Y4: a] :
( Y3 @ Y4
@ ( ^ [Y5: a > b > $o,Y6: a] :
( sK10
@ ( ^ [Y7: a > b > $o,Y8: a,Y9: b] : ( sF4 @ ( X0 @ Y7 @ Y8 @ Y9 ) )
@ Y5
@ Y6 ) )
@ Y3
@ Y4 ) ) )
@ ( X1 @ Y3 ) ) )
@ Y2
@ Y1 ) )
!= ( ^ [Y0: a,Y1: b] :
( X0
@ ( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( ^ [Y4: a > b > $o,Y5: a] :
( sK10
@ ( ^ [Y6: a > b > $o,Y7: a,Y8: b] : ( sF4 @ ( X0 @ Y6 @ Y7 @ Y8 ) )
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) ) )
@ ( X2 @ Y2 ) ) ) )
@ Y0
@ Y1 ) ) )
| ( ( X2
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0 @ Y1
@ ( ^ [Y2: a > b > $o,Y3: a] :
( sK10
@ ( ^ [Y4: a > b > $o,Y5: a,Y6: b] : ( sF4 @ ( X0 @ Y4 @ Y5 @ Y6 ) )
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) ) )
@ ( X2 @ Y0 ) ) ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2 @ Y3
@ ( ^ [Y4: a > b > $o,Y5: a] :
( sK10
@ ( ^ [Y6: a > b > $o,Y7: a,Y8: b] : ( sF4 @ ( X0 @ Y6 @ Y7 @ Y8 ) )
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) ) )
@ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) ) ) )
| ( ( ^ [Y0: a] : X1 )
!= ( ^ [Y0: a] : X2 ) ) )
| ~ spl8_1 ),
inference(equality_resolution,[],[f219]) ).
thf(f219,plain,
( ! [X2: ( a > b > $o ) > b,X0: ( a > b > $o ) > a > b,X1: ( a > b > $o ) > b] :
( ( ( ^ [Y0: a] :
( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] :
( sK12
@ ^ [Y3: a > b > $o] :
( ( sF3
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y3 @ Y5 @ Y4 ) ) )
=> ( Y3
@ ( sK11
@ ^ [Y4: a] : ( Y3 @ Y4 @ ( X0 @ Y3 @ Y4 ) ) )
@ ( X1 @ Y3 ) ) )
@ Y2
@ Y1 ) ) ) )
!= ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] : ( Y0 @ Y1 @ ( X0 @ Y0 @ Y1 ) ) )
@ ( X2 @ Y0 ) ) ) ) ) )
| ( ( X2
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] : ( Y0 @ Y1 @ ( X0 @ Y0 @ Y1 ) ) )
@ ( X2 @ Y0 ) ) ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] : ( Y2 @ Y3 @ ( X0 @ Y2 @ Y3 ) ) )
@ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) ) ) )
| ( X1 != X2 )
| ( ( ^ [Y0: a] : X1 )
!= ( ^ [Y0: a] : X2 ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f218]) ).
thf(f218,plain,
( ! [X2: ( a > b > $o ) > b,X0: ( a > b > $o ) > a > b,X1: ( a > b > $o ) > b] :
( ( ( ^ [Y0: a] : X1 )
!= ( ^ [Y0: a] : X2 ) )
| ( ( ^ [Y0: a] :
( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] :
( sK12
@ ^ [Y3: a > b > $o] :
( ( sF3
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y3 @ Y5 @ Y4 ) ) )
=> ( Y3
@ ( sK11
@ ^ [Y4: a] :
( Y3
@ ( ^ [Y5: a > b > $o,Y6: a] : Y6
@ Y3
@ Y4 )
@ ( X0 @ Y3 @ Y4 ) ) )
@ ( X1 @ Y3 ) ) )
@ Y2
@ Y1 ) ) ) )
!= ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0
@ ( ^ [Y2: a > b > $o,Y3: a] : Y3
@ Y0
@ Y1 )
@ ( X0 @ Y0 @ Y1 ) ) )
@ ( X2 @ Y0 ) ) ) ) ) )
| ( ( X2
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] :
( Y0
@ ( ^ [Y2: a > b > $o,Y3: a] : Y3
@ Y0
@ Y1 )
@ ( X0 @ Y0 @ Y1 ) ) )
@ ( X2 @ Y0 ) ) ) ) )
!= ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] :
( Y2
@ ( ^ [Y4: a > b > $o,Y5: a] : Y5
@ Y2
@ Y3 )
@ ( X0 @ Y2 @ Y3 ) ) )
@ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) ) ) )
| ( X1 != X2 ) )
| ~ spl8_1 ),
inference(equality_resolution,[],[f215]) ).
thf(f215,plain,
( ! [X2: ( a > b > $o ) > a > a,X3: ( a > b > $o ) > a > b,X0: ( a > b > $o ) > b,X1: ( a > b > $o ) > b] :
( ( ( ^ [Y0: a] : Y0 )
!= ( X2
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] : ( Y0 @ ( X2 @ Y0 @ Y1 ) @ ( X3 @ Y0 @ Y1 ) ) )
@ ( X1 @ Y0 ) ) ) ) ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( sK11
@ ^ [Y3: a] : ( Y2 @ ( X2 @ Y2 @ Y3 ) @ ( X3 @ Y2 @ Y3 ) ) )
@ ( X0 @ Y2 ) ) )
@ Y1
@ Y0 ) ) )
!= ( X1
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] : ( Y0 @ ( X2 @ Y0 @ Y1 ) @ ( X3 @ Y0 @ Y1 ) ) )
@ ( X1 @ Y0 ) ) ) ) ) )
| ( ( ^ [Y0: a] :
( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] :
( sK12
@ ^ [Y3: a > b > $o] :
( ( sF3
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y3 @ Y5 @ Y4 ) ) )
=> ( Y3
@ ( sK11
@ ^ [Y4: a] : ( Y3 @ ( X2 @ Y3 @ Y4 ) @ ( X3 @ Y3 @ Y4 ) ) )
@ ( X0 @ Y3 ) ) )
@ Y2
@ Y1 ) ) ) )
!= ( X3
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( sK11
@ ^ [Y1: a] : ( Y0 @ ( X2 @ Y0 @ Y1 ) @ ( X3 @ Y0 @ Y1 ) ) )
@ ( X1 @ Y0 ) ) ) ) ) )
| ( X0 != X1 )
| ( ( ^ [Y0: a] : X0 )
!= ( ^ [Y0: a] : X1 ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f214]) ).
thf(f214,plain,
( ! [X2: ( a > b > $o ) > a > a,X3: ( a > b > $o ) > a > b,X0: ( a > b > $o ) > b,X1: ( a > b > $o ) > b] :
( ( ( ^ [Y0: a,Y1: a > b > $o] : ( X1 @ Y1 ) )
!= ( ^ [Y0: a,Y1: a > b > $o] : ( X0 @ Y1 ) ) )
| ( ( ^ [Y0: a] :
( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] :
( sK12
@ ^ [Y3: a > b > $o] :
( ( sF3
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y3 @ Y5 @ Y4 ) ) )
=> ( Y3
@ ( ^ [Y4: a > b > $o] :
( sK11
@ ( ^ [Y5: a > b > $o,Y6: a] : ( Y5 @ ( X2 @ Y5 @ Y6 ) @ ( X3 @ Y5 @ Y6 ) )
@ Y4 ) )
@ Y3 )
@ ( X0 @ Y3 ) ) )
@ Y2
@ Y1 ) ) ) )
!= ( ^ [Y0: a] :
( X3
@ ( sK12
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1
@ ( ^ [Y2: a > b > $o] :
( sK11
@ ( ^ [Y3: a > b > $o,Y4: a] : ( Y3 @ ( X2 @ Y3 @ Y4 ) @ ( X3 @ Y3 @ Y4 ) )
@ Y2 ) )
@ Y1 )
@ ( X1 @ Y1 ) ) ) )
@ Y0 ) ) )
| ( ( ^ [Y0: a] :
( X2
@ ( sK12
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1
@ ( ^ [Y2: a > b > $o] :
( sK11
@ ( ^ [Y3: a > b > $o,Y4: a] : ( Y3 @ ( X2 @ Y3 @ Y4 ) @ ( X3 @ Y3 @ Y4 ) )
@ Y2 ) )
@ Y1 )
@ ( X1 @ Y1 ) ) ) )
@ Y0 ) )
!= ( ^ [Y0: a] : Y0 ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( ^ [Y3: a > b > $o] :
( sK11
@ ( ^ [Y4: a > b > $o,Y5: a] : ( Y4 @ ( X2 @ Y4 @ Y5 ) @ ( X3 @ Y4 @ Y5 ) )
@ Y3 ) )
@ Y2 )
@ ( X0 @ Y2 ) ) )
@ Y1
@ Y0 ) ) )
!= ( X1
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( ^ [Y1: a > b > $o] :
( sK11
@ ( ^ [Y2: a > b > $o,Y3: a] : ( Y2 @ ( X2 @ Y2 @ Y3 ) @ ( X3 @ Y2 @ Y3 ) )
@ Y1 ) )
@ Y0 )
@ ( X1 @ Y0 ) ) ) ) ) )
| ( ( ^ [Y0: a > b > $o] : ( X0 @ Y0 ) )
!= ( ^ [Y0: a > b > $o] : ( X1 @ Y0 ) ) ) )
| ~ spl8_1 ),
inference(trivial_inequality_removal,[],[f213]) ).
thf(f213,plain,
( ! [X2: ( a > b > $o ) > a > a,X3: ( a > b > $o ) > a > b,X0: ( a > b > $o ) > b,X1: ( a > b > $o ) > b] :
( ( ( ^ [Y0: a] :
( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] :
( sK12
@ ^ [Y3: a > b > $o] :
( ( sF3
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y3 @ Y5 @ Y4 ) ) )
=> ( Y3
@ ( ^ [Y4: a > b > $o] :
( sK11
@ ( ^ [Y5: a > b > $o,Y6: a] : ( Y5 @ ( X2 @ Y5 @ Y6 ) @ ( X3 @ Y5 @ Y6 ) )
@ Y4 ) )
@ Y3 )
@ ( X0 @ Y3 ) ) )
@ Y2
@ Y1 ) ) ) )
!= ( ^ [Y0: a] :
( X3
@ ( sK12
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1
@ ( ^ [Y2: a > b > $o] :
( sK11
@ ( ^ [Y3: a > b > $o,Y4: a] : ( Y3 @ ( X2 @ Y3 @ Y4 ) @ ( X3 @ Y3 @ Y4 ) )
@ Y2 ) )
@ Y1 )
@ ( X1 @ Y1 ) ) ) )
@ Y0 ) ) )
| ( ( ^ [Y0: a,Y1: a > b > $o] : ( X1 @ Y1 ) )
!= ( ^ [Y0: a,Y1: a > b > $o] : ( X0 @ Y1 ) ) )
| ( ( ^ [Y0: a] :
( X2
@ ( sK12
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1
@ ( ^ [Y2: a > b > $o] :
( sK11
@ ( ^ [Y3: a > b > $o,Y4: a] : ( Y3 @ ( X2 @ Y3 @ Y4 ) @ ( X3 @ Y3 @ Y4 ) )
@ Y2 ) )
@ Y1 )
@ ( X1 @ Y1 ) ) ) )
@ Y0 ) )
!= ( ^ [Y0: a] : Y0 ) )
| ( ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2
@ ( ^ [Y3: a > b > $o] :
( sK11
@ ( ^ [Y4: a > b > $o,Y5: a] : ( Y4 @ ( X2 @ Y4 @ Y5 ) @ ( X3 @ Y4 @ Y5 ) )
@ Y3 ) )
@ Y2 )
@ ( X0 @ Y2 ) ) )
@ Y1
@ Y0 ) ) )
!= ( X1
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0
@ ( ^ [Y1: a > b > $o] :
( sK11
@ ( ^ [Y2: a > b > $o,Y3: a] : ( Y2 @ ( X2 @ Y2 @ Y3 ) @ ( X3 @ Y2 @ Y3 ) )
@ Y1 ) )
@ Y0 )
@ ( X1 @ Y0 ) ) ) ) ) )
| ( ( ^ [Y0: a > b > $o] : ( X0 @ Y0 ) )
!= ( ^ [Y0: a > b > $o] : ( X1 @ Y0 ) ) )
| ( $true = $false ) )
| ~ spl8_1 ),
inference(constrained_superposition,[],[f171,f209]) ).
thf(f209,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( $true
= ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
@ ( sK11
@ ^ [Y0: a] :
( sK12
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1 @ ( X0 @ Y1 ) @ ( X1 @ Y1 ) ) )
@ Y0
@ ( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] :
( sK12
@ ^ [Y3: a > b > $o] :
( ( sF3
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y3 @ Y5 @ Y4 ) ) )
=> ( Y3 @ ( X0 @ Y3 ) @ ( X1 @ Y3 ) ) )
@ Y2
@ Y1 ) ) ) ) )
@ ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2 @ ( X0 @ Y2 ) @ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) ) ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f208]) ).
thf(f208,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( ( ^ [Y0: a] :
( sK12
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1 @ ( X0 @ Y1 ) @ ( X1 @ Y1 ) ) )
@ Y0
@ ( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] :
( sK12
@ ^ [Y3: a > b > $o] :
( ( sF3
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y3 @ Y5 @ Y4 ) ) )
=> ( Y3 @ ( X0 @ Y3 ) @ ( X1 @ Y3 ) ) )
@ Y2
@ Y1 ) ) ) )
@ ( sK11
@ ^ [Y0: a] :
( sK12
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1 @ ( X0 @ Y1 ) @ ( X1 @ Y1 ) ) )
@ Y0
@ ( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] :
( sK12
@ ^ [Y3: a > b > $o] :
( ( sF3
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y3 @ Y5 @ Y4 ) ) )
=> ( Y3 @ ( X0 @ Y3 ) @ ( X1 @ Y3 ) ) )
@ Y2
@ Y1 ) ) ) ) ) )
= $true )
| ~ spl8_1 ),
inference(trivial_inequality_removal,[],[f207]) ).
thf(f207,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( ( $true = $false )
| ( ( ^ [Y0: a] :
( sK12
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1 @ ( X0 @ Y1 ) @ ( X1 @ Y1 ) ) )
@ Y0
@ ( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] :
( sK12
@ ^ [Y3: a > b > $o] :
( ( sF3
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y3 @ Y5 @ Y4 ) ) )
=> ( Y3 @ ( X0 @ Y3 ) @ ( X1 @ Y3 ) ) )
@ Y2
@ Y1 ) ) ) )
@ ( sK11
@ ^ [Y0: a] :
( sK12
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1 @ ( X0 @ Y1 ) @ ( X1 @ Y1 ) ) )
@ Y0
@ ( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] :
( sK12
@ ^ [Y3: a > b > $o] :
( ( sF3
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y3 @ Y5 @ Y4 ) ) )
=> ( Y3 @ ( X0 @ Y3 ) @ ( X1 @ Y3 ) ) )
@ Y2
@ Y1 ) ) ) ) ) )
= $true ) )
| ~ spl8_1 ),
inference(superposition,[],[f83,f197]) ).
thf(f197,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( $true
= ( sF4
@ ^ [Y0: a] :
( sK12
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1 @ ( X0 @ Y1 ) @ ( X1 @ Y1 ) ) )
@ Y0
@ ( sK10
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] :
( sK12
@ ^ [Y3: a > b > $o] :
( ( sF3
@ ^ [Y4: b] :
( sF4
@ ^ [Y5: a] : ( Y3 @ Y5 @ Y4 ) ) )
=> ( Y3 @ ( X0 @ Y3 ) @ ( X1 @ Y3 ) ) )
@ Y2
@ Y1 ) ) ) ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f196]) ).
thf(f196,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( $true
= ( ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2 @ ( X0 @ Y2 ) @ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) )
@ ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2 @ ( X0 @ Y2 ) @ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) ) ) ) )
| ~ spl8_1 ),
inference(trivial_inequality_removal,[],[f195]) ).
thf(f195,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( ( $true
= ( ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2 @ ( X0 @ Y2 ) @ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) )
@ ( sK10
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2 @ ( X0 @ Y2 ) @ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) ) ) ) )
| ( $true = $false ) )
| ~ spl8_1 ),
inference(superposition,[],[f70,f173]) ).
thf(f173,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( $true
= ( sF3
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2 @ ( X0 @ Y2 ) @ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) ) ) )
| ~ spl8_1 ),
inference(trivial_inequality_removal,[],[f172]) ).
thf(f172,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( ( $true
= ( sF3
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2 @ ( X0 @ Y2 ) @ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) ) ) )
| ( $true = $false ) )
| ~ spl8_1 ),
inference(boolean_simplification,[],[f161]) ).
thf(f161,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( ( ( $false
=> ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
@ ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) )
@ ( X1
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) ) ) )
= $false )
| ( $true
= ( sF3
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2 @ ( X0 @ Y2 ) @ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) ) ) ) )
| ~ spl8_1 ),
inference(cases_simplifying,[],[f159]) ).
thf(f159,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( ( ( sF3
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2 @ ( X0 @ Y2 ) @ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) ) )
=> ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
@ ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) )
@ ( X1
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) ) ) )
= $false )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f158]) ).
thf(f158,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( $false
= ( ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) ) )
| ~ spl8_1 ),
inference(trivial_inequality_removal,[],[f155]) ).
thf(f155,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( ( $true = $false )
| ( $false
= ( ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) ) ) )
| ~ spl8_1 ),
inference(superposition,[],[f142,f110]) ).
thf(f110,plain,
! [X1: ( a > b > $o ) > $o] :
( ( $true
= ( sF2 @ X1 ) )
| ( ( X1 @ ( sK12 @ X1 ) )
= $false ) ),
inference(sigma_clausification,[],[f56]) ).
thf(f56,plain,
! [X1: ( a > b > $o ) > $o] :
( ( ( !! @ ( a > b > $o ) @ X1 )
= $false )
| ( $true
= ( sF2 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f46]) ).
thf(f46,plain,
! [X1: ( a > b > $o ) > $o] :
( ( !! @ ( a > b > $o ) @ X1 )
= ( sF2 @ X1 ) ),
inference(argument_congruence,[],[f9]) ).
thf(f9,plain,
( sF2 = !! ) @ ( a > b > $o ),
introduced(function_definition,[]) ).
thf(f142,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( $false
= ( sF2
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) )
| ~ spl8_1 ),
inference(beta_eta_normalization,[],[f141]) ).
thf(f141,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( ( ^ [Y0: ( a > b > $o ) > b] :
( sF2
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1 @ ( X0 @ Y1 ) @ ( Y0 @ Y1 ) ) ) )
@ X1 )
= $false )
| ~ spl8_1 ),
inference(trivial_inequality_removal,[],[f138]) ).
thf(f138,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( ( $true = $false )
| ( ( ^ [Y0: ( a > b > $o ) > b] :
( sF2
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1 @ ( X0 @ Y1 ) @ ( Y0 @ Y1 ) ) ) )
@ X1 )
= $false ) )
| ~ spl8_1 ),
inference(superposition,[],[f133,f134]) ).
thf(f134,plain,
! [X2: ( a > b > $o ) > b,X1: ( ( a > b > $o ) > b ) > $o] :
( ( $true
= ( sF1 @ X1 ) )
| ( ( X1 @ X2 )
= $false ) ),
inference(pi_clausification,[],[f59]) ).
thf(f59,plain,
! [X1: ( ( a > b > $o ) > b ) > $o] :
( ( $false
= ( ?? @ ( ( a > b > $o ) > b ) @ X1 ) )
| ( $true
= ( sF1 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f48]) ).
thf(f48,plain,
! [X1: ( ( a > b > $o ) > b ) > $o] :
( ( sF1 @ X1 )
= ( ?? @ ( ( a > b > $o ) > b ) @ X1 ) ),
inference(argument_congruence,[],[f8]) ).
thf(f8,plain,
( ??
@ ( ( ( a > b > $o ) > b )
= sF1 ) ),
introduced(function_definition,[]) ).
thf(f133,plain,
( ! [X1: ( a > b > $o ) > a] :
( $false
= ( sF1
@ ^ [Y0: ( a > b > $o ) > b] :
( sF2
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1 @ ( X1 @ Y1 ) @ ( Y0 @ Y1 ) ) ) ) ) )
| ~ spl8_1 ),
inference(backward_demodulation,[],[f50,f130]) ).
thf(f130,plain,
( ! [X0: ( a > b > $o ) > a] :
( ( sF5 @ X0 )
= $false )
| ~ spl8_1 ),
inference(trivial_inequality_removal,[],[f128]) ).
thf(f128,plain,
( ! [X0: ( a > b > $o ) > a] :
( ( ( sF5 @ X0 )
= $false )
| ( $true = $false ) )
| ~ spl8_1 ),
inference(superposition,[],[f45,f120]) ).
thf(f120,plain,
! [X2: ( a > b > $o ) > a,X1: ( ( a > b > $o ) > a ) > $o] :
( ( $true
= ( sF0 @ X1 ) )
| ( ( X1 @ X2 )
= $false ) ),
inference(pi_clausification,[],[f58]) ).
thf(f58,plain,
! [X1: ( ( a > b > $o ) > a ) > $o] :
( ( ( ?? @ ( ( a > b > $o ) > a ) @ X1 )
= $false )
| ( $true
= ( sF0 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f47]) ).
thf(f47,plain,
! [X1: ( ( a > b > $o ) > a ) > $o] :
( ( ?? @ ( ( a > b > $o ) > a ) @ X1 )
= ( sF0 @ X1 ) ),
inference(argument_congruence,[],[f7]) ).
thf(f7,plain,
( sF0 = ?? ) @ ( ( a > b > $o ) > a ),
introduced(function_definition,[]) ).
thf(f45,plain,
( ( ( sF0 @ sF5 )
= $false )
| ~ spl8_1 ),
inference(forward_demodulation,[],[f13,f23]) ).
thf(f23,plain,
( ( $false = sF6 )
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f21]) ).
thf(f21,plain,
( spl8_1
<=> ( $false = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
thf(f13,plain,
( ( sF0 @ sF5 )
= sF6 ),
introduced(function_definition,[]) ).
thf(f50,plain,
! [X1: ( a > b > $o ) > a] :
( ( sF5 @ X1 )
= ( sF1
@ ^ [Y0: ( a > b > $o ) > b] :
( sF2
@ ^ [Y1: a > b > $o] :
( ( sF3
@ ^ [Y2: b] :
( sF4
@ ^ [Y3: a] : ( Y1 @ Y3 @ Y2 ) ) )
=> ( Y1 @ ( X1 @ Y1 ) @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f49]) ).
thf(f49,plain,
! [X1: ( a > b > $o ) > a] :
( ( ^ [Y0: ( a > b > $o ) > a] :
( sF1
@ ^ [Y1: ( a > b > $o ) > b] :
( sF2
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) ) )
@ X1 )
= ( sF5 @ X1 ) ),
inference(argument_congruence,[],[f12]) ).
thf(f12,plain,
( sF5
= ( ^ [Y0: ( a > b > $o ) > a] :
( sF1
@ ^ [Y1: ( a > b > $o ) > b] :
( sF2
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) ) ) ) ),
introduced(function_definition,[]) ).
thf(f70,plain,
! [X1: b > $o] :
( ( ( sF3 @ X1 )
= $false )
| ( ( X1 @ ( sK10 @ X1 ) )
= $true ) ),
inference(sigma_clausification,[],[f52]) ).
thf(f52,plain,
! [X1: b > $o] :
( ( ( ?? @ b @ X1 )
= $true )
| ( ( sF3 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f43]) ).
thf(f43,plain,
! [X1: b > $o] :
( ( sF3 @ X1 )
= ( ?? @ b @ X1 ) ),
inference(argument_congruence,[],[f10]) ).
thf(f10,plain,
( sF3 = ?? ) @ b,
introduced(function_definition,[]) ).
thf(f83,plain,
! [X1: a > $o] :
( ( ( sF4 @ X1 )
= $false )
| ( ( X1 @ ( sK11 @ X1 ) )
= $true ) ),
inference(sigma_clausification,[],[f54]) ).
thf(f54,plain,
! [X1: a > $o] :
( ( $true
= ( ?? @ a @ X1 ) )
| ( ( sF4 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f44]) ).
thf(f44,plain,
! [X1: a > $o] :
( ( sF4 @ X1 )
= ( ?? @ a @ X1 ) ),
inference(argument_congruence,[],[f11]) ).
thf(f11,plain,
?? @ ( a = sF4 ),
introduced(function_definition,[]) ).
thf(f171,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( $false
= ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
@ ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) )
@ ( X1
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) ) ) )
| ~ spl8_1 ),
inference(trivial_inequality_removal,[],[f170]) ).
thf(f170,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( ( $true = $false )
| ( $false
= ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
@ ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) )
@ ( X1
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) ) ) ) )
| ~ spl8_1 ),
inference(boolean_simplification,[],[f162]) ).
thf(f162,plain,
( ! [X0: ( a > b > $o ) > a,X1: ( a > b > $o ) > b] :
( ( $false
= ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) )
@ ( X0
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) )
@ ( X1
@ ( sK12
@ ^ [Y0: a > b > $o] :
( ( sF3
@ ^ [Y1: b] :
( sF4
@ ^ [Y2: a] : ( Y0 @ Y2 @ Y1 ) ) )
=> ( Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) ) ) )
| ( ( ( sF3
@ ^ [Y0: b] :
( sF4
@ ^ [Y1: a] :
( sK12
@ ^ [Y2: a > b > $o] :
( ( sF3
@ ^ [Y3: b] :
( sF4
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2 @ ( X0 @ Y2 ) @ ( X1 @ Y2 ) ) )
@ Y1
@ Y0 ) ) )
=> $true )
= $false ) )
| ~ spl8_1 ),
inference(cases_simplifying,[],[f159]) ).
thf(f41,plain,
( ~ spl8_2
| ~ spl8_3 ),
inference(avatar_contradiction_clause,[],[f40]) ).
thf(f40,plain,
( $false
| ~ spl8_2
| ~ spl8_3 ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f39,plain,
( ( $true = $false )
| ~ spl8_2
| ~ spl8_3 ),
inference(forward_demodulation,[],[f32,f27]) ).
thf(f27,plain,
( ( $false = sF7 )
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f25]) ).
thf(f25,plain,
( spl8_2
<=> ( $false = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
thf(f32,plain,
( ( $true = sF7 )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f30]) ).
thf(f30,plain,
( spl8_3
<=> ( $true = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
thf(f38,plain,
spl8_3,
inference(avatar_split_clause,[],[f15,f30]) ).
thf(f15,plain,
$true = sF7,
inference(definition_folding,[],[f6,f14,f13,f12,f11,f10,f9,f8,f7]) ).
thf(f14,plain,
( ~ sF6 = sF7 ),
introduced(function_definition,[]) ).
thf(f6,plain,
( ( ~ ( ?? @ ( ( a > b > $o ) > a )
@ ^ [Y0: ( a > b > $o ) > a] :
( ?? @ ( ( a > b > $o ) > b )
@ ^ [Y1: ( a > b > $o ) > b] :
( !! @ ( a > b > $o )
@ ^ [Y2: a > b > $o] :
( ( ?? @ b
@ ^ [Y3: b] :
( ?? @ a
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( ( ~ ( ?? @ ( ( a > b > $o ) > a )
@ ^ [Y0: ( a > b > $o ) > a] :
( ?? @ ( ( a > b > $o ) > b )
@ ^ [Y1: ( a > b > $o ) > b] :
( !! @ ( a > b > $o )
@ ^ [Y2: a > b > $o] :
( ( ?? @ b
@ ^ [Y3: b] :
( ?? @ a
@ ^ [Y4: a] : ( Y2 @ Y4 @ Y3 ) ) )
=> ( Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ? [X0: ( a > b > $o ) > b,X1: ( a > b > $o ) > a] :
! [X2: a > b > $o] :
( ? [X3: a,X4: b] : ( X2 @ X3 @ X4 )
=> ( X2 @ ( X1 @ X2 ) @ ( X0 @ X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X1: ( a > b > $o ) > b,X0: ( a > b > $o ) > a] :
! [X2: a > b > $o] :
( ? [X3: a,X4: b] : ( X2 @ X3 @ X4 )
=> ( X2 @ ( X0 @ X2 ) @ ( X1 @ X2 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
? [X1: ( a > b > $o ) > b,X0: ( a > b > $o ) > a] :
! [X2: a > b > $o] :
( ? [X3: a,X4: b] : ( X2 @ X3 @ X4 )
=> ( X2 @ ( X0 @ X2 ) @ ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',claim) ).
thf(f28,plain,
( spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f19,f25,f21]) ).
thf(f19,plain,
( ( $false = sF6 )
| ( $false = sF7 ) ),
inference(boolean_simplification,[],[f16]) ).
thf(f16,plain,
( ( $false = sF6 )
| ( ~ $true = sF7 ) ),
inference(cases_simplifying,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO509^1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 10:55:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 % (7879)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.15/0.38 % (7882)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.38 % (7881)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.38 % (7880)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.15/0.38 % (7883)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.15/0.38 % (7884)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.38 % (7878)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.38 % (7885)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.15/0.38 % (7881)Instruction limit reached!
% 0.15/0.38 % (7881)------------------------------
% 0.15/0.38 % (7881)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (7881)Termination reason: Unknown
% 0.15/0.38 % (7881)Termination phase: Saturation
% 0.15/0.38 % (7882)Instruction limit reached!
% 0.15/0.38 % (7882)------------------------------
% 0.15/0.38 % (7882)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (7882)Termination reason: Unknown
% 0.15/0.38 % (7882)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (7882)Memory used [KB]: 5500
% 0.15/0.38 % (7882)Time elapsed: 0.004 s
% 0.15/0.38 % (7882)Instructions burned: 2 (million)
% 0.15/0.38 % (7882)------------------------------
% 0.15/0.38 % (7882)------------------------------
% 0.15/0.38
% 0.15/0.38 % (7881)Memory used [KB]: 5500
% 0.15/0.38 % (7881)Time elapsed: 0.004 s
% 0.15/0.38 % (7881)Instructions burned: 2 (million)
% 0.15/0.38 % (7881)------------------------------
% 0.15/0.38 % (7881)------------------------------
% 0.15/0.38 % (7883)Refutation not found, incomplete strategy
% 0.15/0.38 % (7883)------------------------------
% 0.15/0.38 % (7883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (7883)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (7880)Refutation not found, incomplete strategy
% 0.15/0.38 % (7880)------------------------------
% 0.15/0.38 % (7880)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (7880)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (7880)Memory used [KB]: 5500
% 0.15/0.38 % (7880)Time elapsed: 0.003 s
% 0.15/0.38 % (7880)Instructions burned: 2 (million)
% 0.15/0.38 % (7880)------------------------------
% 0.15/0.38 % (7880)------------------------------
% 0.15/0.38 % (7883)Memory used [KB]: 5500
% 0.15/0.38 % (7883)Time elapsed: 0.004 s
% 0.15/0.38 % (7883)Instructions burned: 2 (million)
% 0.15/0.38 % (7883)------------------------------
% 0.15/0.38 % (7883)------------------------------
% 0.15/0.38 % (7885)Instruction limit reached!
% 0.15/0.38 % (7885)------------------------------
% 0.15/0.38 % (7885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (7885)Termination reason: Unknown
% 0.15/0.38 % (7885)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (7885)Memory used [KB]: 5500
% 0.15/0.38 % (7885)Time elapsed: 0.005 s
% 0.15/0.38 % (7885)Instructions burned: 4 (million)
% 0.15/0.38 % (7885)------------------------------
% 0.15/0.38 % (7885)------------------------------
% 0.15/0.38 % (7879)Instruction limit reached!
% 0.15/0.38 % (7879)------------------------------
% 0.15/0.38 % (7879)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (7879)Termination reason: Unknown
% 0.15/0.38 % (7879)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (7879)Memory used [KB]: 5500
% 0.15/0.38 % (7879)Time elapsed: 0.005 s
% 0.15/0.38 % (7879)Instructions burned: 5 (million)
% 0.15/0.38 % (7879)------------------------------
% 0.15/0.38 % (7879)------------------------------
% 0.15/0.39 % (7884)Instruction limit reached!
% 0.15/0.39 % (7884)------------------------------
% 0.15/0.39 % (7884)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (7884)Termination reason: Unknown
% 0.15/0.39 % (7884)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (7884)Memory used [KB]: 5628
% 0.15/0.39 % (7884)Time elapsed: 0.013 s
% 0.15/0.39 % (7884)Instructions burned: 19 (million)
% 0.15/0.39 % (7884)------------------------------
% 0.15/0.39 % (7884)------------------------------
% 0.15/0.39 % (7886)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.39 % (7887)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.40 % (7889)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.40 % (7888)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.40 % (7890)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.40 % (7891)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.40 % (7887)Refutation not found, incomplete strategy
% 0.22/0.40 % (7887)------------------------------
% 0.22/0.40 % (7887)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (7887)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40 % (7887)Memory used [KB]: 5500
% 0.22/0.40 % (7887)Time elapsed: 0.004 s
% 0.22/0.40 % (7887)Instructions burned: 2 (million)
% 0.22/0.40 % (7887)------------------------------
% 0.22/0.40 % (7887)------------------------------
% 0.22/0.40 % (7888)Instruction limit reached!
% 0.22/0.40 % (7888)------------------------------
% 0.22/0.40 % (7888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (7888)Termination reason: Unknown
% 0.22/0.40 % (7888)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (7888)Memory used [KB]: 5500
% 0.22/0.40 % (7888)Time elapsed: 0.004 s
% 0.22/0.40 % (7888)Instructions burned: 3 (million)
% 0.22/0.40 % (7888)------------------------------
% 0.22/0.40 % (7888)------------------------------
% 0.22/0.40 % (7889)Refutation not found, incomplete strategy
% 0.22/0.40 % (7889)------------------------------
% 0.22/0.40 % (7889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (7890)Instruction limit reached!
% 0.22/0.40 % (7890)------------------------------
% 0.22/0.40 % (7890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (7890)Termination reason: Unknown
% 0.22/0.40 % (7890)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (7890)Memory used [KB]: 1023
% 0.22/0.40 % (7890)Time elapsed: 0.007 s
% 0.22/0.40 % (7890)Instructions burned: 8 (million)
% 0.22/0.40 % (7890)------------------------------
% 0.22/0.40 % (7890)------------------------------
% 0.22/0.40 % (7889)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40 % (7889)Memory used [KB]: 5500
% 0.22/0.40 % (7889)Time elapsed: 0.007 s
% 0.22/0.40 % (7889)Instructions burned: 7 (million)
% 0.22/0.40 % (7889)------------------------------
% 0.22/0.40 % (7889)------------------------------
% 0.22/0.40 % (7892)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (7886)Refutation not found, incomplete strategy
% 0.22/0.41 % (7886)------------------------------
% 0.22/0.41 % (7886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (7886)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.41
% 0.22/0.41
% 0.22/0.41 % (7886)Memory used [KB]: 5756
% 0.22/0.41 % (7886)Time elapsed: 0.012 s
% 0.22/0.41 % (7886)Instructions burned: 18 (million)
% 0.22/0.41 % (7886)------------------------------
% 0.22/0.41 % (7886)------------------------------
% 0.22/0.41 % (7892)Instruction limit reached!
% 0.22/0.41 % (7892)------------------------------
% 0.22/0.41 % (7892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (7892)Termination reason: Unknown
% 0.22/0.41 % (7892)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (7892)Memory used [KB]: 5500
% 0.22/0.41 % (7892)Time elapsed: 0.004 s
% 0.22/0.41 % (7892)Instructions burned: 3 (million)
% 0.22/0.41 % (7892)------------------------------
% 0.22/0.41 % (7892)------------------------------
% 0.22/0.41 % (7891)Instruction limit reached!
% 0.22/0.41 % (7891)------------------------------
% 0.22/0.41 % (7891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (7891)Termination reason: Unknown
% 0.22/0.41 % (7891)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (7891)Memory used [KB]: 5628
% 0.22/0.41 % (7891)Time elapsed: 0.033 s
% 0.22/0.41 % (7891)Instructions burned: 16 (million)
% 0.22/0.41 % (7891)------------------------------
% 0.22/0.41 % (7891)------------------------------
% 0.22/0.41 % (7893)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (7894)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.41 % (7894)Refutation not found, incomplete strategy
% 0.22/0.41 % (7894)------------------------------
% 0.22/0.41 % (7894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (7894)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.41
% 0.22/0.41
% 0.22/0.41 % (7894)Memory used [KB]: 5500
% 0.22/0.41 % (7894)Time elapsed: 0.003 s
% 0.22/0.41 % (7894)Instructions burned: 1 (million)
% 0.22/0.41 % (7894)------------------------------
% 0.22/0.41 % (7894)------------------------------
% 0.22/0.41 % (7893)Instruction limit reached!
% 0.22/0.41 % (7893)------------------------------
% 0.22/0.41 % (7893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (7893)Termination reason: Unknown
% 0.22/0.41 % (7893)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (7893)Memory used [KB]: 5500
% 0.22/0.41 % (7893)Time elapsed: 0.004 s
% 0.22/0.41 % (7893)Instructions burned: 3 (million)
% 0.22/0.41 % (7893)------------------------------
% 0.22/0.41 % (7893)------------------------------
% 0.22/0.42 % (7895)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.42 % (7896)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.42 % (7895)Instruction limit reached!
% 0.22/0.42 % (7895)------------------------------
% 0.22/0.42 % (7895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (7895)Termination reason: Unknown
% 0.22/0.42 % (7895)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (7895)Memory used [KB]: 5500
% 0.22/0.42 % (7895)Time elapsed: 0.026 s
% 0.22/0.42 % (7895)Instructions burned: 3 (million)
% 0.22/0.42 % (7895)------------------------------
% 0.22/0.42 % (7895)------------------------------
% 0.22/0.42 % (7896)Instruction limit reached!
% 0.22/0.42 % (7896)------------------------------
% 0.22/0.42 % (7896)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (7896)Termination reason: Unknown
% 0.22/0.42 % (7896)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (7896)Memory used [KB]: 5500
% 0.22/0.42 % (7896)Time elapsed: 0.027 s
% 0.22/0.42 % (7896)Instructions burned: 4 (million)
% 0.22/0.42 % (7896)------------------------------
% 0.22/0.42 % (7896)------------------------------
% 0.22/0.42 % (7897)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.42 % (7898)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.42 % (7897)Refutation not found, incomplete strategy
% 0.22/0.42 % (7897)------------------------------
% 0.22/0.42 % (7897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (7897)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (7897)Memory used [KB]: 5500
% 0.22/0.42 % (7897)Time elapsed: 0.003 s
% 0.22/0.42 % (7897)Instructions burned: 2 (million)
% 0.22/0.42 % (7899)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.42 % (7897)------------------------------
% 0.22/0.42 % (7897)------------------------------
% 0.22/0.42 % (7899)Refutation not found, incomplete strategy
% 0.22/0.42 % (7899)------------------------------
% 0.22/0.42 % (7899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (7899)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (7899)Memory used [KB]: 5500
% 0.22/0.42 % (7899)Time elapsed: 0.004 s
% 0.22/0.42 % (7899)Instructions burned: 2 (million)
% 0.22/0.42 % (7899)------------------------------
% 0.22/0.42 % (7899)------------------------------
% 0.22/0.43 % (7901)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.43 % (7900)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.43 % (7902)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.43 % (7900)Refutation not found, incomplete strategy
% 0.22/0.43 % (7900)------------------------------
% 0.22/0.43 % (7900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (7900)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 % (7900)Memory used [KB]: 5500
% 0.22/0.43 % (7900)Time elapsed: 0.005 s
% 0.22/0.43 % (7900)Instructions burned: 1 (million)
% 0.22/0.43 % (7900)------------------------------
% 0.22/0.43 % (7900)------------------------------
% 0.22/0.43 % (7903)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.44 % (7902)Instruction limit reached!
% 0.22/0.44 % (7902)------------------------------
% 0.22/0.44 % (7902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (7902)Termination reason: Unknown
% 0.22/0.44 % (7902)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (7902)Memory used [KB]: 5500
% 0.22/0.44 % (7902)Time elapsed: 0.006 s
% 0.22/0.44 % (7902)Instructions burned: 5 (million)
% 0.22/0.44 % (7902)------------------------------
% 0.22/0.44 % (7902)------------------------------
% 0.22/0.44 % (7904)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.44 % (7903)Instruction limit reached!
% 0.22/0.44 % (7903)------------------------------
% 0.22/0.44 % (7903)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (7903)Termination reason: Unknown
% 0.22/0.44 % (7903)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (7903)Memory used [KB]: 5500
% 0.22/0.44 % (7903)Time elapsed: 0.007 s
% 0.22/0.44 % (7903)Instructions burned: 7 (million)
% 0.22/0.44 % (7903)------------------------------
% 0.22/0.44 % (7903)------------------------------
% 0.22/0.44 % (7904)Refutation not found, incomplete strategy
% 0.22/0.44 % (7904)------------------------------
% 0.22/0.44 % (7904)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (7904)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44
% 0.22/0.44 % (7904)Memory used [KB]: 5500
% 0.22/0.44 % (7904)Time elapsed: 0.004 s
% 0.22/0.44 % (7904)Instructions burned: 2 (million)
% 0.22/0.44 % (7904)------------------------------
% 0.22/0.44 % (7904)------------------------------
% 0.22/0.44 % (7906)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.22/0.45 % (7901)Instruction limit reached!
% 0.22/0.45 % (7901)------------------------------
% 0.22/0.45 % (7901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (7901)Termination reason: Unknown
% 0.22/0.45 % (7901)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (7901)Memory used [KB]: 5628
% 0.22/0.45 % (7901)Time elapsed: 0.019 s
% 0.22/0.45 % (7901)Instructions burned: 22 (million)
% 0.22/0.45 % (7901)------------------------------
% 0.22/0.45 % (7901)------------------------------
% 0.22/0.45 % (7910)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.22/0.45 % (7911)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.22/0.45 % (7911)Refutation not found, incomplete strategy
% 0.22/0.45 % (7911)------------------------------
% 0.22/0.45 % (7911)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (7911)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45
% 0.22/0.45
% 0.22/0.45 % (7911)Memory used [KB]: 5500
% 0.22/0.45 % (7911)Time elapsed: 0.004 s
% 0.22/0.45 % (7911)Instructions burned: 2 (million)
% 0.22/0.45 % (7911)------------------------------
% 0.22/0.45 % (7911)------------------------------
% 0.22/0.45 % (7910)Refutation not found, incomplete strategy
% 0.22/0.45 % (7910)------------------------------
% 0.22/0.45 % (7910)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (7910)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45
% 0.22/0.45
% 0.22/0.45 % (7910)Memory used [KB]: 5500
% 0.22/0.45 % (7910)Time elapsed: 0.005 s
% 0.22/0.45 % (7910)Instructions burned: 3 (million)
% 0.22/0.45 % (7910)------------------------------
% 0.22/0.45 % (7910)------------------------------
% 0.22/0.46 % (7913)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.22/0.46 % (7914)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.46 % (7914)Instruction limit reached!
% 0.22/0.46 % (7914)------------------------------
% 0.22/0.46 % (7914)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (7914)Termination reason: Unknown
% 0.22/0.46 % (7914)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (7914)Memory used [KB]: 5500
% 0.22/0.46 % (7914)Time elapsed: 0.004 s
% 0.22/0.46 % (7914)Instructions burned: 3 (million)
% 0.22/0.46 % (7914)------------------------------
% 0.22/0.46 % (7914)------------------------------
% 0.22/0.46 % (7917)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.22/0.46 % (7913)Instruction limit reached!
% 0.22/0.46 % (7913)------------------------------
% 0.22/0.46 % (7913)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (7913)Termination reason: Unknown
% 0.22/0.46 % (7913)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.47 % (7913)Memory used [KB]: 5500
% 0.22/0.47 % (7913)Time elapsed: 0.012 s
% 0.22/0.47 % (7913)Instructions burned: 17 (million)
% 0.22/0.47 % (7913)------------------------------
% 0.22/0.47 % (7913)------------------------------
% 0.22/0.47 % (7918)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.22/0.47 % (7919)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.47 % (7919)Refutation not found, incomplete strategy
% 0.22/0.47 % (7919)------------------------------
% 0.22/0.47 % (7919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (7919)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 % (7919)Memory used [KB]: 5500
% 0.22/0.47 % (7919)Time elapsed: 0.004 s
% 0.22/0.47 % (7919)Instructions burned: 2 (million)
% 0.22/0.47 % (7919)------------------------------
% 0.22/0.47 % (7919)------------------------------
% 0.22/0.47 % (7921)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.48 % (7921)Instruction limit reached!
% 0.22/0.48 % (7921)------------------------------
% 0.22/0.48 % (7921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (7921)Termination reason: Unknown
% 0.22/0.48 % (7921)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (7921)Memory used [KB]: 5500
% 0.22/0.48 % (7921)Time elapsed: 0.005 s
% 0.22/0.48 % (7921)Instructions burned: 4 (million)
% 0.22/0.48 % (7921)------------------------------
% 0.22/0.48 % (7921)------------------------------
% 0.22/0.48 % (7878)Instruction limit reached!
% 0.22/0.48 % (7878)------------------------------
% 0.22/0.48 % (7878)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (7878)Termination reason: Unknown
% 0.22/0.48 % (7878)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (7878)Memory used [KB]: 5884
% 0.22/0.48 % (7878)Time elapsed: 0.103 s
% 0.22/0.48 % (7878)Instructions burned: 183 (million)
% 0.22/0.48 % (7878)------------------------------
% 0.22/0.48 % (7878)------------------------------
% 0.22/0.48 % (7925)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.22/0.48 % (7917)Instruction limit reached!
% 0.22/0.48 % (7917)------------------------------
% 0.22/0.48 % (7917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (7917)Termination reason: Unknown
% 0.22/0.48 % (7917)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (7917)Memory used [KB]: 5628
% 0.22/0.48 % (7917)Time elapsed: 0.019 s
% 0.22/0.48 % (7917)Instructions burned: 30 (million)
% 0.22/0.48 % (7917)------------------------------
% 0.22/0.48 % (7917)------------------------------
% 0.22/0.48 % (7925)Refutation not found, incomplete strategy
% 0.22/0.48 % (7925)------------------------------
% 0.22/0.48 % (7925)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (7925)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % (7925)Memory used [KB]: 5500
% 0.22/0.48 % (7925)Time elapsed: 0.004 s
% 0.22/0.48 % (7925)Instructions burned: 2 (million)
% 0.22/0.48 % (7925)------------------------------
% 0.22/0.48 % (7925)------------------------------
% 0.22/0.49 % (7929)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.22/0.49 % (7929)Refutation not found, incomplete strategy
% 0.22/0.49 % (7929)------------------------------
% 0.22/0.49 % (7929)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (7929)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49
% 0.22/0.49 % (7929)Memory used [KB]: 5500
% 0.22/0.49 % (7929)Time elapsed: 0.004 s
% 0.22/0.49 % (7929)Instructions burned: 2 (million)
% 0.22/0.49 % (7929)------------------------------
% 0.22/0.49 % (7929)------------------------------
% 0.22/0.49 % (7932)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.22/0.49 % (7937)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 0.22/0.49 % (7932)Refutation not found, incomplete strategy
% 0.22/0.49 % (7932)------------------------------
% 0.22/0.49 % (7932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (7932)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49
% 0.22/0.49 % (7932)Memory used [KB]: 5500
% 0.22/0.49 % (7932)Time elapsed: 0.003 s
% 0.22/0.49 % (7932)Instructions burned: 2 (million)
% 0.22/0.49 % (7932)------------------------------
% 0.22/0.49 % (7932)------------------------------
% 0.22/0.49 % (7940)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 0.22/0.49 % (7935)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.22/0.50 % (7940)Refutation not found, incomplete strategy
% 0.22/0.50 % (7940)------------------------------
% 0.22/0.50 % (7940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (7940)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 % (7940)Memory used [KB]: 5628
% 0.22/0.50 % (7940)Time elapsed: 0.011 s
% 0.22/0.50 % (7940)Instructions burned: 21 (million)
% 0.22/0.50 % (7940)------------------------------
% 0.22/0.50 % (7940)------------------------------
% 0.22/0.51 % (7946)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 0.22/0.51 % (7946)Refutation not found, incomplete strategy
% 0.22/0.51 % (7946)------------------------------
% 0.22/0.51 % (7946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (7946)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.51
% 0.22/0.51
% 0.22/0.51 % (7946)Memory used [KB]: 1023
% 0.22/0.51 % (7946)Time elapsed: 0.004 s
% 0.22/0.51 % (7946)Instructions burned: 6 (million)
% 0.22/0.51 % (7946)------------------------------
% 0.22/0.51 % (7946)------------------------------
% 0.22/0.51 % (7947)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2998ds/507Mi)
% 0.22/0.51 % (7947)Refutation not found, incomplete strategy
% 0.22/0.51 % (7947)------------------------------
% 0.22/0.51 % (7947)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (7947)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.51
% 0.22/0.51
% 0.22/0.51 % (7947)Memory used [KB]: 5500
% 0.22/0.51 % (7947)Time elapsed: 0.003 s
% 0.22/0.51 % (7947)Instructions burned: 3 (million)
% 0.22/0.51 % (7947)------------------------------
% 0.22/0.51 % (7947)------------------------------
% 0.22/0.51 % (7935)Instruction limit reached!
% 0.22/0.51 % (7935)------------------------------
% 0.22/0.51 % (7935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (7935)Termination reason: Unknown
% 0.22/0.51 % (7935)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (7935)Memory used [KB]: 6012
% 0.22/0.51 % (7935)Time elapsed: 0.020 s
% 0.22/0.51 % (7935)Instructions burned: 40 (million)
% 0.22/0.51 % (7935)------------------------------
% 0.22/0.51 % (7935)------------------------------
% 0.22/0.51 % (7954)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2998ds/149Mi)
% 0.22/0.51 % (7954)Refutation not found, incomplete strategy
% 0.22/0.51 % (7954)------------------------------
% 0.22/0.51 % (7954)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (7954)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.52
% 0.22/0.52
% 0.22/0.52 % (7954)Memory used [KB]: 5500
% 0.22/0.52 % (7954)Time elapsed: 0.003 s
% 0.22/0.52 % (7954)Instructions burned: 3 (million)
% 0.22/0.52 % (7954)------------------------------
% 0.22/0.52 % (7954)------------------------------
% 1.27/0.52 % (7957)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.27/0.52 % (7957)Refutation not found, incomplete strategy
% 1.27/0.52 % (7957)------------------------------
% 1.27/0.52 % (7957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.27/0.52 % (7957)Termination reason: Refutation not found, incomplete strategy
% 1.27/0.52
% 1.27/0.52
% 1.27/0.52 % (7957)Memory used [KB]: 5500
% 1.27/0.52 % (7957)Time elapsed: 0.002 s
% 1.27/0.52 % (7957)Instructions burned: 1 (million)
% 1.27/0.52 % (7957)------------------------------
% 1.27/0.52 % (7957)------------------------------
% 1.27/0.52 % (7967)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2998ds/1087Mi)
% 1.27/0.52 % (7961)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 1.27/0.52 % (7967)Refutation not found, incomplete strategy
% 1.27/0.52 % (7967)------------------------------
% 1.27/0.52 % (7967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.27/0.52 % (7967)Termination reason: Refutation not found, incomplete strategy
% 1.27/0.52
% 1.27/0.52
% 1.27/0.52 % (7967)Memory used [KB]: 5500
% 1.27/0.52 % (7967)Time elapsed: 0.002 s
% 1.27/0.52 % (7967)Instructions burned: 1 (million)
% 1.27/0.52 % (7967)------------------------------
% 1.27/0.52 % (7967)------------------------------
% 1.27/0.52 % (7918)Instruction limit reached!
% 1.27/0.52 % (7918)------------------------------
% 1.27/0.52 % (7918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.27/0.52 % (7918)Termination reason: Unknown
% 1.27/0.52 % (7918)Termination phase: Saturation
% 1.27/0.52
% 1.27/0.52 % (7918)Memory used [KB]: 5756
% 1.27/0.52 % (7918)Time elapsed: 0.056 s
% 1.27/0.52 % (7918)Instructions burned: 127 (million)
% 1.27/0.52 % (7918)------------------------------
% 1.27/0.52 % (7918)------------------------------
% 1.27/0.53 % (7969)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 1.27/0.53 % (7961)Instruction limit reached!
% 1.27/0.53 % (7961)------------------------------
% 1.27/0.53 % (7961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.27/0.53 % (7961)Termination reason: Unknown
% 1.27/0.53 % (7961)Termination phase: Saturation
% 1.27/0.53
% 1.27/0.53 % (7961)Memory used [KB]: 9978
% 1.27/0.53 % (7961)Time elapsed: 0.005 s
% 1.27/0.53 % (7961)Instructions burned: 7 (million)
% 1.27/0.53 % (7961)------------------------------
% 1.27/0.53 % (7961)------------------------------
% 1.27/0.53 % (7974)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2998ds/44Mi)
% 1.27/0.53 % (7976)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2998ds/432Mi)
% 1.45/0.54 % (7981)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 1.45/0.54 % (7978)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2998ds/62Mi)
% 1.45/0.54 % (7976)Refutation not found, incomplete strategy
% 1.45/0.54 % (7976)------------------------------
% 1.45/0.54 % (7976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.54 % (7976)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.54
% 1.45/0.54
% 1.45/0.54 % (7976)Memory used [KB]: 1151
% 1.45/0.54 % (7976)Time elapsed: 0.007 s
% 1.45/0.54 % (7976)Instructions burned: 15 (million)
% 1.45/0.54 % (7976)------------------------------
% 1.45/0.54 % (7976)------------------------------
% 1.45/0.54 % (7969)Instruction limit reached!
% 1.45/0.54 % (7969)------------------------------
% 1.45/0.54 % (7969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.54 % (7969)Termination reason: Unknown
% 1.45/0.54 % (7969)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (7969)Memory used [KB]: 5628
% 1.45/0.54 % (7969)Time elapsed: 0.017 s
% 1.45/0.54 % (7969)Instructions burned: 49 (million)
% 1.45/0.54 % (7969)------------------------------
% 1.45/0.54 % (7969)------------------------------
% 1.45/0.54 % (7974)Instruction limit reached!
% 1.45/0.54 % (7974)------------------------------
% 1.45/0.54 % (7974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.54 % (7974)Termination reason: Unknown
% 1.45/0.54 % (7974)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (7974)Memory used [KB]: 1151
% 1.45/0.54 % (7974)Time elapsed: 0.016 s
% 1.45/0.54 % (7974)Instructions burned: 44 (million)
% 1.45/0.54 % (7974)------------------------------
% 1.45/0.54 % (7974)------------------------------
% 1.45/0.55 % (7981)Instruction limit reached!
% 1.45/0.55 % (7981)------------------------------
% 1.45/0.55 % (7981)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.55 % (7981)Termination reason: Unknown
% 1.45/0.55 % (7981)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55 % (7981)Memory used [KB]: 5628
% 1.45/0.55 % (7981)Time elapsed: 0.012 s
% 1.45/0.55 % (7981)Instructions burned: 33 (million)
% 1.45/0.55 % (7981)------------------------------
% 1.45/0.55 % (7981)------------------------------
% 1.45/0.55 % (7995)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2998ds/96Mi)
% 1.45/0.55 % (7997)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2998ds/453Mi)
% 1.45/0.55 % (8000)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2998ds/71Mi)
% 1.45/0.55 % (7997)Refutation not found, incomplete strategy
% 1.45/0.55 % (7997)------------------------------
% 1.45/0.55 % (7997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.55 % (7997)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.55
% 1.45/0.55
% 1.45/0.55 % (7997)Memory used [KB]: 5500
% 1.45/0.55 % (7997)Time elapsed: 0.004 s
% 1.45/0.55 % (7997)Instructions burned: 4 (million)
% 1.45/0.55 % (7997)------------------------------
% 1.45/0.55 % (7997)------------------------------
% 1.45/0.55 % (8003)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2998ds/83Mi)
% 1.45/0.56 % (7978)Instruction limit reached!
% 1.45/0.56 % (7978)------------------------------
% 1.45/0.56 % (7978)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.56 % (7978)Termination reason: Unknown
% 1.45/0.56 % (7978)Termination phase: Saturation
% 1.45/0.56
% 1.45/0.56 % (7978)Memory used [KB]: 5756
% 1.45/0.56 % (7978)Time elapsed: 0.025 s
% 1.45/0.56 % (7978)Instructions burned: 64 (million)
% 1.45/0.56 % (7978)------------------------------
% 1.45/0.56 % (7978)------------------------------
% 1.45/0.56 % (8004)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2998ds/11Mi)
% 1.45/0.57 % (8004)Instruction limit reached!
% 1.45/0.57 % (8004)------------------------------
% 1.45/0.57 % (8004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.57 % (8004)Termination reason: Unknown
% 1.45/0.57 % (8004)Termination phase: Saturation
% 1.45/0.57
% 1.45/0.57 % (8004)Memory used [KB]: 5500
% 1.45/0.57 % (8004)Time elapsed: 0.006 s
% 1.45/0.57 % (8004)Instructions burned: 13 (million)
% 1.45/0.57 % (8004)------------------------------
% 1.45/0.57 % (8004)------------------------------
% 1.45/0.57 % (8009)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2997ds/41Mi)
% 1.45/0.57 % (8009)Refutation not found, incomplete strategy
% 1.45/0.57 % (8009)------------------------------
% 1.45/0.57 % (8009)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.57 % (8009)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.57
% 1.45/0.57
% 1.45/0.57 % (8009)Memory used [KB]: 5500
% 1.45/0.57 % (8009)Time elapsed: 0.004 s
% 1.45/0.57 % (8009)Instructions burned: 3 (million)
% 1.45/0.57 % (8009)------------------------------
% 1.45/0.57 % (8009)------------------------------
% 1.45/0.58 % (8018)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 1.45/0.58 % (8018)Refutation not found, incomplete strategy
% 1.45/0.58 % (8018)------------------------------
% 1.45/0.58 % (8018)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.58 % (8018)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.58
% 1.45/0.58
% 1.45/0.58 % (8018)Memory used [KB]: 5500
% 1.45/0.58 % (8018)Time elapsed: 0.002 s
% 1.45/0.58 % (8018)Instructions burned: 1 (million)
% 1.45/0.58 % (8018)------------------------------
% 1.45/0.58 % (8018)------------------------------
% 1.45/0.58 % (7995)Instruction limit reached!
% 1.45/0.58 % (7995)------------------------------
% 1.45/0.58 % (7995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.58 % (7995)Termination reason: Unknown
% 1.45/0.58 % (7995)Termination phase: Saturation
% 1.45/0.58
% 1.45/0.58 % (7995)Memory used [KB]: 5756
% 1.45/0.58 % (7995)Time elapsed: 0.054 s
% 1.45/0.58 % (7995)Instructions burned: 98 (million)
% 1.45/0.58 % (7995)------------------------------
% 1.45/0.58 % (7995)------------------------------
% 1.45/0.58 % (8027)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 1.45/0.58 % (8000)Instruction limit reached!
% 1.45/0.58 % (8000)------------------------------
% 1.45/0.58 % (8000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.58 % (8000)Termination reason: Unknown
% 1.45/0.58 % (8000)Termination phase: Saturation
% 1.45/0.58
% 1.45/0.58 % (8000)Memory used [KB]: 5884
% 1.45/0.58 % (8000)Time elapsed: 0.051 s
% 1.45/0.58 % (8000)Instructions burned: 72 (million)
% 1.45/0.58 % (8000)------------------------------
% 1.45/0.58 % (8000)------------------------------
% 1.45/0.58 % (8003)Instruction limit reached!
% 1.45/0.58 % (8003)------------------------------
% 1.45/0.58 % (8003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.58 % (8003)Termination reason: Unknown
% 1.45/0.58 % (8003)Termination phase: Saturation
% 1.45/0.58
% 1.45/0.58 % (8003)Memory used [KB]: 5628
% 1.45/0.58 % (8003)Time elapsed: 0.029 s
% 1.45/0.58 % (8003)Instructions burned: 85 (million)
% 1.45/0.58 % (8003)------------------------------
% 1.45/0.58 % (8003)------------------------------
% 1.45/0.59 % (8031)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 1.45/0.59 % (8032)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 1.45/0.59 % (8031)Refutation not found, incomplete strategy
% 1.45/0.59 % (8031)------------------------------
% 1.45/0.59 % (8031)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.59 % (8031)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.59
% 1.45/0.59
% 1.45/0.59 % (8031)Memory used [KB]: 5500
% 1.45/0.59 % (8031)Time elapsed: 0.002 s
% 1.45/0.59 % (8031)Instructions burned: 1 (million)
% 1.45/0.59 % (8031)------------------------------
% 1.45/0.59 % (8031)------------------------------
% 1.45/0.59 % (8033)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2997ds/253Mi)
% 1.45/0.59 % (8034)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2997ds/140Mi)
% 1.45/0.59 % (8033)Refutation not found, incomplete strategy
% 1.45/0.59 % (8033)------------------------------
% 1.45/0.59 % (8033)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.59 % (8033)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.59
% 1.45/0.59
% 1.45/0.59 % (8033)Memory used [KB]: 5500
% 1.45/0.59 % (8033)Time elapsed: 0.002 s
% 1.45/0.59 % (8033)Instructions burned: 2 (million)
% 1.45/0.59 % (8033)------------------------------
% 1.45/0.59 % (8033)------------------------------
% 1.45/0.59 % (8034)Refutation not found, incomplete strategy
% 1.45/0.59 % (8034)------------------------------
% 1.45/0.59 % (8034)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.59 % (8034)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.59
% 1.45/0.59
% 1.45/0.59 % (8034)Memory used [KB]: 5500
% 1.45/0.59 % (8034)Time elapsed: 0.002 s
% 1.45/0.59 % (8034)Instructions burned: 2 (million)
% 1.45/0.59 % (8034)------------------------------
% 1.45/0.59 % (8034)------------------------------
% 1.45/0.60 % (8035)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2997ds/614Mi)
% 1.45/0.60 % (8035)Refutation not found, incomplete strategy
% 1.45/0.60 % (8035)------------------------------
% 1.45/0.60 % (8035)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.60 % (8035)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.60
% 1.45/0.60
% 1.45/0.60 % (8035)Memory used [KB]: 5500
% 1.45/0.60 % (8035)Time elapsed: 0.002 s
% 1.45/0.60 % (8035)Instructions burned: 2 (million)
% 1.45/0.60 % (8035)------------------------------
% 1.45/0.60 % (8035)------------------------------
% 1.45/0.60 % (8036)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2997ds/202Mi)
% 1.45/0.60 % (8037)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2997ds/339Mi)
% 1.45/0.60 % (8036)Refutation not found, incomplete strategy
% 1.45/0.60 % (8036)------------------------------
% 1.45/0.60 % (8036)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.60 % (8036)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.60
% 1.45/0.60
% 1.45/0.60 % (8036)Memory used [KB]: 5500
% 1.45/0.60 % (8036)Time elapsed: 0.002 s
% 1.45/0.60 % (8036)Instructions burned: 2 (million)
% 1.45/0.60 % (8036)------------------------------
% 1.45/0.60 % (8036)------------------------------
% 1.45/0.60 % (8037)Refutation not found, incomplete strategy
% 1.45/0.60 % (8037)------------------------------
% 1.45/0.60 % (8037)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.60 % (8037)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.60
% 1.45/0.60
% 1.45/0.60 % (8037)Memory used [KB]: 5500
% 1.45/0.60 % (8037)Time elapsed: 0.002 s
% 1.45/0.60 % (8037)Instructions burned: 2 (million)
% 1.45/0.60 % (8037)------------------------------
% 1.45/0.60 % (8037)------------------------------
% 1.45/0.61 % (8038)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2997ds/283Mi)
% 1.45/0.61 % (8040)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2997ds/134Mi)
% 1.45/0.61 % (8042)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2997ds/298Mi)
% 1.45/0.62 % (8032)Instruction limit reached!
% 1.45/0.62 % (8032)------------------------------
% 1.45/0.62 % (8032)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.62 % (8032)Termination reason: Unknown
% 1.45/0.62 % (8032)Termination phase: Saturation
% 1.45/0.62
% 1.45/0.62 % (8032)Memory used [KB]: 5756
% 1.45/0.62 % (8032)Time elapsed: 0.034 s
% 1.45/0.62 % (8032)Instructions burned: 109 (million)
% 1.45/0.62 % (8032)------------------------------
% 1.45/0.62 % (8032)------------------------------
% 1.45/0.63 % (8027)Instruction limit reached!
% 1.45/0.63 % (8027)------------------------------
% 1.45/0.63 % (8027)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.63 % (8027)Termination reason: Unknown
% 1.45/0.63 % (8027)Termination phase: Saturation
% 1.45/0.63
% 1.45/0.63 % (8027)Memory used [KB]: 5884
% 1.45/0.63 % (8027)Time elapsed: 0.046 s
% 1.45/0.63 % (8027)Instructions burned: 151 (million)
% 1.45/0.63 % (8027)------------------------------
% 1.45/0.63 % (8027)------------------------------
% 1.45/0.63 % (7937)Instruction limit reached!
% 1.45/0.63 % (7937)------------------------------
% 1.45/0.63 % (7937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.63 % (8050)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2997ds/192Mi)
% 1.45/0.63 % (7937)Termination reason: Unknown
% 1.45/0.63 % (7937)Termination phase: Saturation
% 1.45/0.63
% 1.45/0.63 % (7937)Memory used [KB]: 6268
% 1.45/0.63 % (7937)Time elapsed: 0.139 s
% 1.45/0.63 % (7937)Instructions burned: 448 (million)
% 1.45/0.63 % (7937)------------------------------
% 1.45/0.63 % (7937)------------------------------
% 2.20/0.63 % (8052)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2997ds/258Mi)
% 2.20/0.64 % (8052)Refutation not found, incomplete strategy
% 2.20/0.64 % (8052)------------------------------
% 2.20/0.64 % (8052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.64 % (8052)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.64
% 2.20/0.64
% 2.20/0.64 % (8052)Memory used [KB]: 5500
% 2.20/0.64 % (8052)Time elapsed: 0.002 s
% 2.20/0.64 % (8052)Instructions burned: 2 (million)
% 2.20/0.64 % (8052)------------------------------
% 2.20/0.64 % (8052)------------------------------
% 2.20/0.64 % (8055)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.20/0.64 % (8055)Refutation not found, incomplete strategy
% 2.20/0.64 % (8055)------------------------------
% 2.20/0.64 % (8055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.64 % (8055)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.64
% 2.20/0.64
% 2.20/0.64 % (8055)Memory used [KB]: 5500
% 2.20/0.64 % (8055)Time elapsed: 0.002 s
% 2.20/0.64 % (8055)Instructions burned: 2 (million)
% 2.20/0.64 % (8055)------------------------------
% 2.20/0.64 % (8055)------------------------------
% 2.20/0.64 % (8058)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2997ds/231Mi)
% 2.20/0.65 % (8061)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2997ds/458Mi)
% 2.20/0.65 % (8061)Refutation not found, incomplete strategy
% 2.20/0.65 % (8061)------------------------------
% 2.20/0.65 % (8061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.65 % (8061)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.65
% 2.20/0.65
% 2.20/0.65 % (8061)Memory used [KB]: 5500
% 2.20/0.65 % (8061)Time elapsed: 0.002 s
% 2.20/0.65 % (8061)Instructions burned: 2 (million)
% 2.20/0.65 % (8061)------------------------------
% 2.20/0.65 % (8061)------------------------------
% 2.20/0.66 % (8040)Instruction limit reached!
% 2.20/0.66 % (8040)------------------------------
% 2.20/0.66 % (8040)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.66 % (8040)Termination reason: Unknown
% 2.20/0.66 % (8040)Termination phase: Saturation
% 2.20/0.66
% 2.20/0.66 % (8040)Memory used [KB]: 6140
% 2.20/0.66 % (8040)Time elapsed: 0.047 s
% 2.20/0.66 % (8040)Instructions burned: 137 (million)
% 2.20/0.66 % (8040)------------------------------
% 2.20/0.66 % (8040)------------------------------
% 2.20/0.66 % (8066)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.20/0.66 % (8069)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2997ds/297Mi)
% 2.20/0.67 % (8066)Instruction limit reached!
% 2.20/0.67 % (8066)------------------------------
% 2.20/0.67 % (8066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.67 % (8066)Termination reason: Unknown
% 2.20/0.67 % (8066)Termination phase: Saturation
% 2.20/0.67
% 2.20/0.67 % (8066)Memory used [KB]: 5628
% 2.20/0.67 % (8066)Time elapsed: 0.011 s
% 2.20/0.67 % (8066)Instructions burned: 32 (million)
% 2.20/0.67 % (8066)------------------------------
% 2.20/0.67 % (8066)------------------------------
% 2.20/0.67 % (7898)Instruction limit reached!
% 2.20/0.67 % (7898)------------------------------
% 2.20/0.67 % (7898)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.67 % (7898)Termination reason: Unknown
% 2.20/0.67 % (7898)Termination phase: Saturation
% 2.20/0.67
% 2.20/0.67 % (7898)Memory used [KB]: 6652
% 2.20/0.67 % (7898)Time elapsed: 0.253 s
% 2.20/0.67 % (7898)Instructions burned: 714 (million)
% 2.20/0.67 % (7898)------------------------------
% 2.20/0.67 % (7898)------------------------------
% 2.20/0.68 % (8075)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2996ds/987Mi)
% 2.20/0.68 % (8075)Refutation not found, incomplete strategy
% 2.20/0.68 % (8075)------------------------------
% 2.20/0.68 % (8075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.68 % (8075)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.68
% 2.20/0.68
% 2.20/0.68 % (8075)Memory used [KB]: 5500
% 2.20/0.68 % (8075)Time elapsed: 0.004 s
% 2.20/0.68 % (8075)Instructions burned: 8 (million)
% 2.20/0.68 % (8075)------------------------------
% 2.20/0.68 % (8075)------------------------------
% 2.20/0.68 % (8077)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2996ds/182Mi)
% 2.20/0.68 % (8058)First to succeed.
% 2.20/0.69 % (8050)Instruction limit reached!
% 2.20/0.69 % (8050)------------------------------
% 2.20/0.69 % (8050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.69 % (8050)Termination reason: Unknown
% 2.20/0.69 % (8050)Termination phase: Saturation
% 2.20/0.69
% 2.20/0.69 % (8050)Memory used [KB]: 5884
% 2.20/0.69 % (8050)Time elapsed: 0.058 s
% 2.20/0.69 % (8050)Instructions burned: 193 (million)
% 2.20/0.69 % (8050)------------------------------
% 2.20/0.69 % (8050)------------------------------
% 2.20/0.69 % (8084)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2996ds/182Mi)
% 2.20/0.69 % (8084)Refutation not found, incomplete strategy
% 2.20/0.69 % (8084)------------------------------
% 2.20/0.69 % (8084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.69 % (8084)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.69
% 2.20/0.69
% 2.20/0.69 % (8084)Memory used [KB]: 5500
% 2.20/0.69 % (8084)Time elapsed: 0.002 s
% 2.20/0.69 % (8084)Instructions burned: 2 (million)
% 2.20/0.69 % (8084)------------------------------
% 2.20/0.69 % (8084)------------------------------
% 2.20/0.69 % (8038)Instruction limit reached!
% 2.20/0.69 % (8038)------------------------------
% 2.20/0.69 % (8038)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.69 % (8038)Termination reason: Unknown
% 2.20/0.69 % (8038)Termination phase: Saturation
% 2.20/0.69
% 2.20/0.69 % (8038)Memory used [KB]: 6268
% 2.20/0.69 % (8038)Time elapsed: 0.083 s
% 2.20/0.69 % (8038)Instructions burned: 285 (million)
% 2.20/0.69 % (8038)------------------------------
% 2.20/0.69 % (8038)------------------------------
% 2.20/0.69 % (8058)Refutation found. Thanks to Tanya!
% 2.20/0.69 % SZS status Theorem for theBenchmark
% 2.20/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 2.20/0.69 % (8058)------------------------------
% 2.20/0.69 % (8058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.69 % (8058)Termination reason: Refutation
% 2.20/0.69
% 2.20/0.69 % (8058)Memory used [KB]: 6524
% 2.20/0.69 % (8058)Time elapsed: 0.049 s
% 2.20/0.69 % (8058)Instructions burned: 119 (million)
% 2.20/0.69 % (8058)------------------------------
% 2.20/0.69 % (8058)------------------------------
% 2.20/0.69 % (7877)Success in time 0.323 s
% 2.20/0.69 % Vampire---4.8 exiting
%------------------------------------------------------------------------------