TSTP Solution File: SEV199^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV199^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : n009.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 04:12:21 EDT 2024
% Result : Theorem 0.16s 0.55s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 14
% Syntax : Number of formulae : 130 ( 25 unt; 9 typ; 0 def)
% Number of atoms : 1385 ( 544 equ; 0 cnn)
% Maximal formula atoms : 12 ( 11 avg)
% Number of connectives : 3384 ( 137 ~; 276 |; 250 &;2371 @)
% ( 4 <=>; 80 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 110 ( 110 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 11 usr; 10 con; 0-3 aty)
% ( 128 !!; 138 ??; 0 @@+; 0 @@-)
% Number of variables : 875 ( 501 ^ 355 !; 18 ?; 875 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
iS: $tType ).
thf(func_def_0,type,
iS: $tType ).
thf(func_def_1,type,
x: iS ).
thf(func_def_2,type,
cP: iS > iS > iS ).
thf(func_def_3,type,
c0: iS ).
thf(func_def_26,type,
sK1: ( iS > $o ) > iS ).
thf(func_def_27,type,
sK2: ( iS > $o ) > iS ).
thf(func_def_28,type,
sK3: iS > iS > iS > $o ).
thf(func_def_29,type,
ph4:
!>[X0: $tType] : X0 ).
thf(f675,plain,
$false,
inference(avatar_sat_refutation,[],[f286,f323,f487,f559,f668]) ).
thf(f668,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f667]) ).
thf(f667,plain,
( $false
| ~ spl0_1
| spl0_4 ),
inference(trivial_inequality_removal,[],[f637]) ).
thf(f637,plain,
( ( $false = $true )
| ~ spl0_1
| spl0_4 ),
inference(superposition,[],[f630,f602]) ).
thf(f602,plain,
( ( $false
= ( sK3
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_1 ),
inference(equality_resolution,[],[f275]) ).
thf(f275,plain,
( ! [X2: iS] :
( ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= X2 )
| ( $false
= ( sK3
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ X2 ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f274]) ).
thf(f274,plain,
( spl0_1
<=> ! [X2: iS] :
( ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= X2 )
| ( $false
= ( sK3
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ X2 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f630,plain,
( ! [X0: iS] :
( ( sK3 @ X0 @ X0 @ X0 )
= $true )
| ~ spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f628,f284]) ).
thf(f284,plain,
( ( $false
!= ( sK3 @ c0 @ c0 @ c0 ) )
| spl0_4 ),
inference(avatar_component_clause,[],[f283]) ).
thf(f283,plain,
( spl0_4
<=> ( $false
= ( sK3 @ c0 @ c0 @ c0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f628,plain,
( ! [X0: iS] :
( ( ( sK3 @ X0 @ X0 @ X0 )
= $true )
| ( $false
= ( sK3 @ c0 @ c0 @ c0 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f627]) ).
thf(f627,plain,
( ! [X0: iS] :
( ( $false
= ( sK3 @ c0 @ c0 @ c0 ) )
| ( ( sK3 @ X0 @ X0 @ X0 )
= $true )
| ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f626]) ).
thf(f626,plain,
( ! [X0: iS] :
( ( ( sK3
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0
@ ( ^ [Y0: iS] : Y0
@ X0 ) )
= $true )
| ( ( sK3
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0
@ ( ^ [Y0: iS] : Y0
@ c0 ) )
= $false )
| ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK2
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f625]) ).
thf(f625,plain,
( ! [X0: iS] :
( ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK2
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( sK3
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0
@ ( ^ [Y0: iS] : Y0
@ c0 ) )
= $false )
| ( ( sK3
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0
@ ( ^ [Y0: iS] : Y0
@ X0 ) )
= $true ) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f623]) ).
thf(f623,plain,
( ! [X0: iS] :
( ( ( sK3
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0
@ ( ^ [Y0: iS] : Y0
@ c0 ) )
= $false )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK2
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( sK3
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0
@ ( ^ [Y0: iS] : Y0
@ X0 ) )
= $true ) )
| ~ spl0_1 ),
inference(equality_resolution,[],[f611]) ).
thf(f611,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( X0
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ ( X0 @ Y0 ) @ Y0 @ ( X1 @ Y0 ) ) ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= X1 )
| ( ( ^ [Y0: iS] : Y0 )
!= X0 )
| ( ( sK3 @ ( X0 @ X2 ) @ X2 @ ( X1 @ X2 ) )
= $true )
| ( $false
= ( sK3 @ ( X0 @ c0 ) @ c0 @ ( X1 @ c0 ) ) )
| ( ( X1
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ ( X0 @ Y0 ) @ Y0 @ ( X1 @ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f610]) ).
thf(f610,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X0 @ Y0 ) ) )
| ( ( ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ X2 )
= $true )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X1 @ Y0 ) ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) ) ) ) )
| ( ( ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ c0 )
= $false )
| ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( X0
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) ) ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f608]) ).
thf(f608,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( $false = $true )
| ( ( ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ c0 )
= $false )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X0 @ Y0 ) ) )
| ( ( ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ X2 )
= $true )
| ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) ) ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X1 @ Y0 ) ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( X0
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) ) ) ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f27,f602]) ).
thf(f27,plain,
! [X2: iS,X1: iS > $o] :
( ( $true
= ( X1 @ ( sK2 @ X1 ) ) )
| ( ( X1 @ X2 )
= $true )
| ( $false
= ( X1 @ c0 ) ) ),
inference(binary_proxy_clausification,[],[f26]) ).
thf(f26,plain,
! [X2: iS,X1: iS > $o] :
( ( ( ( X1 @ ( sK1 @ X1 ) )
& ( X1 @ ( sK2 @ X1 ) ) )
= $true )
| ( ( X1 @ X2 )
= $true )
| ( $false
= ( X1 @ c0 ) ) ),
inference(binary_proxy_clausification,[],[f24]) ).
thf(f24,plain,
! [X2: iS,X1: iS > $o] :
( ( ( X1 @ X2 )
= $true )
| ( $false
= ( ( ( X1 @ ( sK1 @ X1 ) )
& ( X1 @ ( sK2 @ X1 ) ) )
=> ( X1 @ ( cP @ ( sK2 @ X1 ) @ ( sK1 @ X1 ) ) ) ) )
| ( $false
= ( X1 @ c0 ) ) ),
inference(beta_eta_normalization,[],[f23]) ).
thf(f23,plain,
! [X2: iS,X1: iS > $o] :
( ( $false
= ( ^ [Y0: iS] :
( ( ( X1 @ ( sK1 @ X1 ) )
& ( X1 @ Y0 ) )
=> ( X1 @ ( cP @ Y0 @ ( sK1 @ X1 ) ) ) )
@ ( sK2 @ X1 ) ) )
| ( $false
= ( X1 @ c0 ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(sigma_clausification,[],[f22]) ).
thf(f22,plain,
! [X2: iS,X1: iS > $o] :
( ( ( X1 @ X2 )
= $true )
| ( $false
= ( !! @ iS
@ ^ [Y0: iS] :
( ( ( X1 @ ( sK1 @ X1 ) )
& ( X1 @ Y0 ) )
=> ( X1 @ ( cP @ Y0 @ ( sK1 @ X1 ) ) ) ) ) )
| ( $false
= ( X1 @ c0 ) ) ),
inference(pi_clausification,[],[f21]) ).
thf(f21,plain,
! [X1: iS > $o] :
( ( $false
= ( X1 @ c0 ) )
| ( ( !! @ iS @ X1 )
= $true )
| ( $false
= ( !! @ iS
@ ^ [Y0: iS] :
( ( ( X1 @ ( sK1 @ X1 ) )
& ( X1 @ Y0 ) )
=> ( X1 @ ( cP @ Y0 @ ( sK1 @ X1 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f20]) ).
thf(f20,plain,
! [X1: iS > $o] :
( ( ( !! @ iS @ X1 )
= $true )
| ( $false
= ( X1 @ c0 ) )
| ( $false
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ Y1 ) )
=> ( X1 @ ( cP @ Y1 @ Y0 ) ) ) )
@ ( sK1 @ X1 ) ) ) ),
inference(sigma_clausification,[],[f19]) ).
thf(f19,plain,
! [X1: iS > $o] :
( ( $false
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ Y1 ) )
=> ( X1 @ ( cP @ Y1 @ Y0 ) ) ) ) ) )
| ( $false
= ( X1 @ c0 ) )
| ( ( !! @ iS @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f18]) ).
thf(f18,plain,
! [X1: iS > $o] :
( ( $false
= ( ( X1 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ Y1 ) )
=> ( X1 @ ( cP @ Y1 @ Y0 ) ) ) ) ) ) )
| ( ( !! @ iS @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
! [X1: iS > $o] :
( ( ( ( X1 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ Y1 ) )
=> ( X1 @ ( cP @ Y1 @ Y0 ) ) ) ) ) )
=> ( !! @ iS @ X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,plain,
! [X1: iS > $o] :
( ( ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f15]) ).
thf(f15,plain,
( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= ( cP @ Y3 @ Y0 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f11,plain,
( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= ( cP @ Y3 @ Y0 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( cP @ Y1 @ Y0 )
!= c0 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f9,plain,
( ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= ( cP @ Y3 @ Y0 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( cP @ Y1 @ Y0 )
!= c0 ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y9 @ Y4 )
= Y2 )
& ( ( cP @ Y5 @ Y8 )
= Y3 )
& ( ( cP @ Y6 @ Y7 )
= Y1 )
& ( Y0 @ Y5 @ Y9 @ Y6 )
& ( Y0 @ Y8 @ Y4 @ Y7 ) ) ) ) ) ) ) )
| ( ( Y3 = Y1 )
& ( c0 = Y2 ) ) )
=> ( Y0 @ Y3 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ x @ x @ x ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f8]) ).
thf(f8,plain,
( $true
= ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= ( cP @ Y3 @ Y0 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( cP @ Y1 @ Y0 )
!= c0 ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y9 @ Y4 )
= Y2 )
& ( ( cP @ Y5 @ Y8 )
= Y3 )
& ( ( cP @ Y6 @ Y7 )
= Y1 )
& ( Y0 @ Y5 @ Y9 @ Y6 )
& ( Y0 @ Y8 @ Y4 @ Y7 ) ) ) ) ) ) ) )
| ( ( Y3 = Y1 )
& ( c0 = Y2 ) ) )
=> ( Y0 @ Y3 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ x @ x @ x ) ) ) ) ) ),
inference(boolean_simplification,[],[f7]) ).
thf(f7,plain,
( ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= ( cP @ Y3 @ Y0 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( cP @ Y1 @ Y0 )
!= c0 ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y9 @ Y4 )
= Y2 )
& ( ( cP @ Y5 @ Y8 )
= Y3 )
& ( ( cP @ Y6 @ Y7 )
= Y1 )
& ( Y0 @ Y5 @ Y9 @ Y6 )
& ( Y0 @ Y8 @ Y4 @ Y7 ) ) ) ) ) ) ) )
| ( ( Y3 = Y1 )
& ( c0 = Y2 ) ) )
=> ( Y0 @ Y3 @ Y2 @ Y1 ) ) ) ) )
& $true )
=> ( Y0 @ x @ x @ x ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= ( cP @ Y3 @ Y0 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( cP @ Y1 @ Y0 )
!= c0 ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y9 @ Y4 )
= Y2 )
& ( ( cP @ Y5 @ Y8 )
= Y3 )
& ( ( cP @ Y6 @ Y7 )
= Y1 )
& ( Y0 @ Y5 @ Y9 @ Y6 )
& ( Y0 @ Y8 @ Y4 @ Y7 ) ) ) ) ) ) ) )
| ( ( Y3 = Y1 )
& ( c0 = Y2 ) ) )
=> ( Y0 @ Y3 @ Y2 @ Y1 ) ) ) ) )
& $true )
=> ( Y0 @ x @ x @ x ) ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= ( cP @ Y3 @ Y0 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( cP @ Y1 @ Y0 )
!= c0 ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y9 @ Y4 )
= Y2 )
& ( ( cP @ Y5 @ Y8 )
= Y3 )
& ( ( cP @ Y6 @ Y7 )
= Y1 )
& ( Y0 @ Y5 @ Y9 @ Y6 )
& ( Y0 @ Y8 @ Y4 @ Y7 ) ) ) ) ) ) ) )
| ( ( Y3 = Y1 )
& ( c0 = Y2 ) ) )
=> ( Y0 @ Y3 @ Y2 @ Y1 ) ) ) ) )
& $true )
=> ( Y0 @ x @ x @ x ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ( ! [X0: iS,X1: iS] :
( ( cP @ X0 @ X1 )
!= c0 )
& ! [X2: iS,X3: iS,X4: iS,X5: iS] :
( ( ( cP @ X4 @ X3 )
= ( cP @ X2 @ X5 ) )
=> ( ( X3 = X5 )
& ( X2 = X4 ) ) )
& ! [X6: iS > $o] :
( ( ! [X7: iS,X8: iS] :
( ( ( X6 @ X7 )
& ( X6 @ X8 ) )
=> ( X6 @ ( cP @ X7 @ X8 ) ) )
& ( X6 @ c0 ) )
=> ! [X9: iS] : ( X6 @ X9 ) ) )
=> ! [X10: iS > iS > iS > $o] :
( ( $true
& ! [X11: iS,X12: iS,X13: iS] :
( ( ( ( c0 = X12 )
& ( X11 = X13 ) )
| ? [X14: iS,X15: iS,X16: iS,X17: iS,X18: iS,X19: iS] :
( ( X10 @ X15 @ X19 @ X16 )
& ( X10 @ X18 @ X14 @ X17 )
& ( ( cP @ X17 @ X16 )
= X13 )
& ( ( cP @ X18 @ X15 )
= X11 )
& ( ( cP @ X14 @ X19 )
= X12 ) )
| ( ( c0 = X11 )
& ( X12 = X13 ) ) )
=> ( X10 @ X11 @ X12 @ X13 ) ) )
=> ( X10 @ x @ x @ x ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X0: iS,X1: iS] :
( ( cP @ X0 @ X1 )
!= c0 )
& ! [X0: iS,X3: iS,X1: iS,X2: iS] :
( ( ( cP @ X0 @ X2 )
= ( cP @ X1 @ X3 ) )
=> ( ( X2 = X3 )
& ( X0 = X1 ) ) )
& ! [X4: iS > $o] :
( ( ! [X0: iS,X1: iS] :
( ( ( X4 @ X0 )
& ( X4 @ X1 ) )
=> ( X4 @ ( cP @ X0 @ X1 ) ) )
& ( X4 @ c0 ) )
=> ! [X0: iS] : ( X4 @ X0 ) ) )
=> ! [X5: iS > iS > iS > $o] :
( ( $true
& ! [X6: iS,X7: iS,X8: iS] :
( ( ( ( c0 = X7 )
& ( X6 = X8 ) )
| ? [X11: iS,X10: iS,X14: iS,X13: iS,X9: iS,X12: iS] :
( ( X5 @ X10 @ X12 @ X14 )
& ( X5 @ X9 @ X11 @ X13 )
& ( ( cP @ X13 @ X14 )
= X8 )
& ( ( cP @ X9 @ X10 )
= X6 )
& ( ( cP @ X11 @ X12 )
= X7 ) )
| ( ( c0 = X6 )
& ( X7 = X8 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) ) )
=> ( X5 @ x @ x @ x ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X0: iS,X1: iS] :
( ( cP @ X0 @ X1 )
!= c0 )
& ! [X0: iS,X3: iS,X1: iS,X2: iS] :
( ( ( cP @ X0 @ X2 )
= ( cP @ X1 @ X3 ) )
=> ( ( X2 = X3 )
& ( X0 = X1 ) ) )
& ! [X4: iS > $o] :
( ( ! [X0: iS,X1: iS] :
( ( ( X4 @ X0 )
& ( X4 @ X1 ) )
=> ( X4 @ ( cP @ X0 @ X1 ) ) )
& ( X4 @ c0 ) )
=> ! [X0: iS] : ( X4 @ X0 ) ) )
=> ! [X5: iS > iS > iS > $o] :
( ( $true
& ! [X6: iS,X7: iS,X8: iS] :
( ( ( ( c0 = X7 )
& ( X6 = X8 ) )
| ? [X11: iS,X10: iS,X14: iS,X13: iS,X9: iS,X12: iS] :
( ( X5 @ X10 @ X12 @ X14 )
& ( X5 @ X9 @ X11 @ X13 )
& ( ( cP @ X13 @ X14 )
= X8 )
& ( ( cP @ X9 @ X10 )
= X6 )
& ( ( cP @ X11 @ X12 )
= X7 ) )
| ( ( c0 = X6 )
& ( X7 = X8 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) ) )
=> ( X5 @ x @ x @ x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cS_INCL_LEM3_pme) ).
thf(f559,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f558]) ).
thf(f558,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f495]) ).
thf(f495,plain,
( ( $false = $true )
| ( c0 != c0 )
| ~ spl0_4 ),
inference(superposition,[],[f285,f95]) ).
thf(f95,plain,
! [X0: iS,X1: iS] :
( ( ( sK3 @ c0 @ X0 @ X1 )
= $true )
| ( X0 != X1 ) ),
inference(equality_resolution,[],[f66]) ).
thf(f66,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( c0 != X3 )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( X1 != X2 ) ),
inference(equality_proxy_clausification,[],[f65]) ).
thf(f65,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( c0 != X3 )
| ( $false
= ( X2 = X1 ) ) ),
inference(equality_proxy_clausification,[],[f64]) ).
thf(f64,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $false
= ( c0 = X3 ) )
| ( $false
= ( X2 = X1 ) )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f63]) ).
thf(f63,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( $false
= ( ( X2 = X1 )
& ( c0 = X3 ) ) ) ),
inference(binary_proxy_clausification,[],[f61]) ).
thf(f61,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( ( ( ( X2 = X1 )
& ( c0 = X3 ) )
| ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( ( cP @ Y5 @ Y0 )
= X2 )
& ( ( cP @ Y1 @ Y4 )
= X3 )
& ( ( cP @ Y2 @ Y3 )
= X1 )
& ( sK3 @ Y1 @ Y5 @ Y2 )
& ( sK3 @ Y4 @ Y0 @ Y3 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f59]) ).
thf(f59,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( $false
= ( ( ( X2 = X1 )
& ( c0 = X3 ) )
| ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( ( cP @ Y5 @ Y0 )
= X2 )
& ( ( cP @ Y1 @ Y4 )
= X3 )
& ( ( cP @ Y2 @ Y3 )
= X1 )
& ( sK3 @ Y1 @ Y5 @ Y2 )
& ( sK3 @ Y4 @ Y0 @ Y3 ) ) ) ) ) ) ) )
| ( ( X3 = X1 )
& ( c0 = X2 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f58]) ).
thf(f58,plain,
! [X2: iS,X3: iS,X1: iS] :
( $true
= ( ( ( ( X2 = X1 )
& ( c0 = X3 ) )
| ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( ( cP @ Y5 @ Y0 )
= X2 )
& ( ( cP @ Y1 @ Y4 )
= X3 )
& ( ( cP @ Y2 @ Y3 )
= X1 )
& ( sK3 @ Y1 @ Y5 @ Y2 )
& ( sK3 @ Y4 @ Y0 @ Y3 ) ) ) ) ) ) ) )
| ( ( X3 = X1 )
& ( c0 = X2 ) ) )
=> ( sK3 @ X3 @ X2 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f57]) ).
thf(f57,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( ^ [Y0: iS] :
( ( ( ( X2 = X1 )
& ( c0 = Y0 ) )
| ( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ( ( cP @ Y6 @ Y1 )
= X2 )
& ( ( cP @ Y2 @ Y5 )
= Y0 )
& ( ( cP @ Y3 @ Y4 )
= X1 )
& ( sK3 @ Y2 @ Y6 @ Y3 )
& ( sK3 @ Y5 @ Y1 @ Y4 ) ) ) ) ) ) ) )
| ( ( Y0 = X1 )
& ( c0 = X2 ) ) )
=> ( sK3 @ Y0 @ X2 @ X1 ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f56]) ).
thf(f56,plain,
! [X2: iS,X1: iS] :
( ( !! @ iS
@ ^ [Y0: iS] :
( ( ( ( X2 = X1 )
& ( c0 = Y0 ) )
| ( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ( ( cP @ Y6 @ Y1 )
= X2 )
& ( ( cP @ Y2 @ Y5 )
= Y0 )
& ( ( cP @ Y3 @ Y4 )
= X1 )
& ( sK3 @ Y2 @ Y6 @ Y3 )
& ( sK3 @ Y5 @ Y1 @ Y4 ) ) ) ) ) ) ) )
| ( ( Y0 = X1 )
& ( c0 = X2 ) ) )
=> ( sK3 @ Y0 @ X2 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f55]) ).
thf(f55,plain,
! [X2: iS,X1: iS] :
( $true
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( ( Y0 = X1 )
& ( c0 = Y1 ) )
| ( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ( ( cP @ Y7 @ Y2 )
= Y0 )
& ( ( cP @ Y3 @ Y6 )
= Y1 )
& ( ( cP @ Y4 @ Y5 )
= X1 )
& ( sK3 @ Y3 @ Y7 @ Y4 )
& ( sK3 @ Y6 @ Y2 @ Y5 ) ) ) ) ) ) ) )
| ( ( Y1 = X1 )
& ( c0 = Y0 ) ) )
=> ( sK3 @ Y1 @ Y0 @ X1 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f54]) ).
thf(f54,plain,
! [X1: iS] :
( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( ( Y0 = X1 )
& ( c0 = Y1 ) )
| ( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ( ( cP @ Y7 @ Y2 )
= Y0 )
& ( ( cP @ Y3 @ Y6 )
= Y1 )
& ( ( cP @ Y4 @ Y5 )
= X1 )
& ( sK3 @ Y3 @ Y7 @ Y4 )
& ( sK3 @ Y6 @ Y2 @ Y5 ) ) ) ) ) ) ) )
| ( ( Y1 = X1 )
& ( c0 = Y0 ) ) )
=> ( sK3 @ Y1 @ Y0 @ X1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f53]) ).
thf(f53,plain,
! [X1: iS] :
( $true
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( ( Y1 = Y0 )
& ( c0 = Y2 ) )
| ( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ( ( cP @ Y8 @ Y3 )
= Y1 )
& ( ( cP @ Y4 @ Y7 )
= Y2 )
& ( ( cP @ Y5 @ Y6 )
= Y0 )
& ( sK3 @ Y4 @ Y8 @ Y5 )
& ( sK3 @ Y7 @ Y3 @ Y6 ) ) ) ) ) ) ) )
| ( ( Y2 = Y0 )
& ( c0 = Y1 ) ) )
=> ( sK3 @ Y2 @ Y1 @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f52]) ).
thf(f52,plain,
( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( ( Y1 = Y0 )
& ( c0 = Y2 ) )
| ( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ( ( cP @ Y8 @ Y3 )
= Y1 )
& ( ( cP @ Y4 @ Y7 )
= Y2 )
& ( ( cP @ Y5 @ Y6 )
= Y0 )
& ( sK3 @ Y4 @ Y8 @ Y5 )
& ( sK3 @ Y7 @ Y3 @ Y6 ) ) ) ) ) ) ) )
| ( ( Y2 = Y0 )
& ( c0 = Y1 ) ) )
=> ( sK3 @ Y2 @ Y1 @ Y0 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f50]) ).
thf(f50,plain,
( $false
= ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( ( Y1 = Y0 )
& ( c0 = Y2 ) )
| ( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ( ( cP @ Y8 @ Y3 )
= Y1 )
& ( ( cP @ Y4 @ Y7 )
= Y2 )
& ( ( cP @ Y5 @ Y6 )
= Y0 )
& ( sK3 @ Y4 @ Y8 @ Y5 )
& ( sK3 @ Y7 @ Y3 @ Y6 ) ) ) ) ) ) ) )
| ( ( Y2 = Y0 )
& ( c0 = Y1 ) ) )
=> ( sK3 @ Y2 @ Y1 @ Y0 ) ) ) ) )
=> ( sK3 @ x @ x @ x ) ) ),
inference(beta_eta_normalization,[],[f49]) ).
thf(f49,plain,
( $false
= ( ^ [Y0: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y9 @ Y4 )
= Y2 )
& ( ( cP @ Y5 @ Y8 )
= Y3 )
& ( ( cP @ Y6 @ Y7 )
= Y1 )
& ( Y0 @ Y5 @ Y9 @ Y6 )
& ( Y0 @ Y8 @ Y4 @ Y7 ) ) ) ) ) ) ) )
| ( ( Y3 = Y1 )
& ( c0 = Y2 ) ) )
=> ( Y0 @ Y3 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ x @ x @ x ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f10]) ).
thf(f10,plain,
( $false
= ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y9 @ Y4 )
= Y2 )
& ( ( cP @ Y5 @ Y8 )
= Y3 )
& ( ( cP @ Y6 @ Y7 )
= Y1 )
& ( Y0 @ Y5 @ Y9 @ Y6 )
& ( Y0 @ Y8 @ Y4 @ Y7 ) ) ) ) ) ) ) )
| ( ( Y3 = Y1 )
& ( c0 = Y2 ) ) )
=> ( Y0 @ Y3 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ x @ x @ x ) ) ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f285,plain,
( ( $false
= ( sK3 @ c0 @ c0 @ c0 ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f283]) ).
thf(f487,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f486]) ).
thf(f486,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f452]) ).
thf(f452,plain,
( ( $false = $true )
| ~ spl0_3 ),
inference(superposition,[],[f414,f51]) ).
thf(f51,plain,
( $false
= ( sK3 @ x @ x @ x ) ),
inference(binary_proxy_clausification,[],[f50]) ).
thf(f414,plain,
( ! [X0: iS] :
( ( sK3 @ X0 @ X0 @ X0 )
= $true )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f402]) ).
thf(f402,plain,
( ! [X0: iS] :
( ( $false = $true )
| ( ( sK3 @ X0 @ X0 @ X0 )
= $true )
| ( c0 != c0 ) )
| ~ spl0_3 ),
inference(superposition,[],[f93,f382]) ).
thf(f382,plain,
( ! [X0: iS] :
( ( $false
= ( sK3 @ c0 @ c0 @ c0 ) )
| ( ( sK3 @ X0 @ X0 @ X0 )
= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f381]) ).
thf(f381,plain,
( ! [X0: iS] :
( ( ( sK3 @ X0 @ X0 @ X0 )
= $true )
| ( $false
= ( sK3 @ c0 @ c0 @ c0 ) )
| ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f380]) ).
thf(f380,plain,
( ! [X0: iS] :
( ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( $true
= ( sK3 @ X0
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 ) ) )
| ( ( sK3 @ c0
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 ) )
= $false ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f379]) ).
thf(f379,plain,
( ! [X0: iS] :
( ( ( sK3 @ c0
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 ) )
= $false )
| ( $true
= ( sK3 @ X0
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 ) ) )
| ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) ) )
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f377]) ).
thf(f377,plain,
( ! [X0: iS] :
( ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( sK3 @ c0
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 ) )
= $false )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( $true
= ( sK3 @ X0
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 ) ) ) )
| ~ spl0_3 ),
inference(equality_resolution,[],[f367]) ).
thf(f367,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) )
| ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( X0
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) )
| ( $true
= ( sK3 @ X2 @ ( X0 @ X2 ) @ ( X1 @ X2 ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= X0 )
| ( ( sK3 @ c0 @ ( X0 @ c0 ) @ ( X1 @ c0 ) )
= $false )
| ( ( ^ [Y0: iS] : Y0 )
!= X1 ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f366]) ).
thf(f366,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) ) ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X1 @ Y0 ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X0 @ Y0 ) ) )
| ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( X0
@ ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) ) ) ) )
| ( ( ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) )
@ c0 )
= $false )
| ( $true
= ( ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) )
@ X2 ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f358]) ).
thf(f358,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X0 @ Y0 ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X1 @ Y0 ) ) )
| ( $false = $true )
| ( ( ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) )
@ c0 )
= $false )
| ( $true
= ( ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) )
@ X2 ) )
| ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) ) ) ) )
| ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( X0
@ ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) ) ) ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f356,f28]) ).
thf(f28,plain,
! [X2: iS,X1: iS > $o] :
( ( ( X1 @ ( sK1 @ X1 ) )
= $true )
| ( $false
= ( X1 @ c0 ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(binary_proxy_clausification,[],[f26]) ).
thf(f356,plain,
( ( $false
= ( sK3
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_3 ),
inference(equality_resolution,[],[f281]) ).
thf(f281,plain,
( ! [X0: iS] :
( ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= X0 )
| ( ( sK3
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ X0 )
= $false ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f280]) ).
thf(f280,plain,
( spl0_3
<=> ! [X0: iS] :
( ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= X0 )
| ( ( sK3
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ X0 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f93,plain,
! [X0: iS,X1: iS] :
( ( ( sK3 @ X0 @ c0 @ X1 )
= $true )
| ( X0 != X1 ) ),
inference(equality_resolution,[],[f88]) ).
thf(f88,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( c0 != X2 )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( X1 != X3 ) ),
inference(equality_proxy_clausification,[],[f87]) ).
thf(f87,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( c0 != X2 )
| ( $false
= ( X3 = X1 ) ) ),
inference(equality_proxy_clausification,[],[f86]) ).
thf(f86,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $false
= ( c0 = X2 ) )
| ( $false
= ( X3 = X1 ) )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f60]) ).
thf(f60,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( $false
= ( ( X3 = X1 )
& ( c0 = X2 ) ) ) ),
inference(binary_proxy_clausification,[],[f59]) ).
thf(f323,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f322]) ).
thf(f322,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f292]) ).
thf(f292,plain,
( ( $false = $true )
| ~ spl0_2 ),
inference(superposition,[],[f278,f51]) ).
thf(f278,plain,
( ! [X1: iS] :
( ( sK3 @ X1 @ X1 @ X1 )
= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f277]) ).
thf(f277,plain,
( spl0_2
<=> ! [X1: iS] :
( ( sK3 @ X1 @ X1 @ X1 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f286,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f272,f283,f280,f277,f274]) ).
thf(f272,plain,
! [X2: iS,X0: iS,X1: iS] :
( ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= X0 )
| ( ( sK3
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ X0 )
= $false )
| ( $false
= ( sK3 @ c0 @ c0 @ c0 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= X2 )
| ( ( sK3 @ X1 @ X1 @ X1 )
= $true )
| ( $false
= ( sK3
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ X2 ) ) ),
inference(beta_eta_normalization,[],[f269]) ).
thf(f269,plain,
! [X2: iS,X0: iS,X1: iS] :
( ( $true
= ( sK3
@ ( ^ [Y0: iS] : Y0
@ X1 )
@ X1
@ X1 ) )
| ( $false
= ( sK3
@ ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
@ X0 ) )
| ( ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
!= X0 )
| ( $false
= ( sK3
@ ( sK2
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
@ X2 ) )
| ( $false
= ( sK3
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0
@ c0 ) )
| ( ( sK2
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
!= X2 ) ),
inference(equality_resolution,[],[f210]) ).
thf(f210,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS > iS,X4: iS,X5: iS] :
( ( ( cP @ X3 @ X0 )
!= ( X1
@ ( cP
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) ) ) ) )
| ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
!= X2 )
| ( ( sK3 @ ( X1 @ c0 ) @ c0 @ c0 )
= $false )
| ( $false
= ( sK3 @ X0
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
@ X2 ) )
| ( ( sK3 @ ( X1 @ X4 ) @ X4 @ X4 )
= $true )
| ( ( sK3 @ X3
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
@ X5 )
= $false )
| ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
!= X5 ) ),
inference(beta_eta_normalization,[],[f208]) ).
thf(f208,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS > iS,X4: iS,X5: iS] :
( ( ( sK1
@ ^ [Y0: iS] :
( sK3 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
!= X2 )
| ( ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
!= X5 )
| ( ( sK3 @ ( X1 @ X4 )
@ ( ^ [Y0: iS] : Y0
@ X4 )
@ X4 )
= $true )
| ( ( X1
@ ( cP
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) ) ) )
!= ( cP @ X3 @ X0 ) )
| ( $false
= ( sK3 @ X0
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
@ X2 ) )
| ( $false
= ( sK3 @ ( X1 @ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0 ) )
| ( $false
= ( sK3 @ X3
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
@ X5 ) ) ),
inference(equality_resolution,[],[f177]) ).
thf(f177,plain,
! [X2: iS > iS,X3: iS > iS,X0: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( cP @ X0 @ X1 )
!= ( X2
@ ( cP
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) ) ) ) )
| ( $false
= ( sK3 @ X5 @ X1 @ X6 ) )
| ( ( X3
@ ( cP
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) ) ) )
!= ( cP @ X4 @ X5 ) )
| ( ( sK3 @ ( X3 @ X8 ) @ ( X2 @ X8 ) @ X8 )
= $true )
| ( $false
= ( sK3 @ ( X3 @ c0 ) @ ( X2 @ c0 ) @ c0 ) )
| ( ( sK3 @ X4 @ X0 @ X7 )
= $false )
| ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) )
!= X6 )
| ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) )
!= X7 ) ),
inference(beta_eta_normalization,[],[f176]) ).
thf(f176,plain,
! [X2: iS > iS,X3: iS > iS,X0: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( sK3 @ X5 @ X1 @ X6 ) )
| ( ( sK1
@ ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
!= X6 )
| ( ( cP @ X0 @ X1 )
!= ( X2
@ ( cP
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) ) )
| ( ( cP @ X4 @ X5 )
!= ( X3
@ ( cP
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) ) )
| ( $false
= ( ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 ) )
| ( ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
!= X7 )
| ( ( sK3 @ X4 @ X0 @ X7 )
= $false )
| ( ( ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X8 )
= $true ) ),
inference(trivial_inequality_removal,[],[f172]) ).
thf(f172,plain,
! [X2: iS > iS,X3: iS > iS,X0: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( sK1
@ ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
!= X6 )
| ( $false
= ( ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 ) )
| ( ( ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X8 )
= $true )
| ( $false = $true )
| ( $false
= ( sK3 @ X5 @ X1 @ X6 ) )
| ( ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
!= X7 )
| ( ( sK3 @ X4 @ X0 @ X7 )
= $false )
| ( ( cP @ X0 @ X1 )
!= ( X2
@ ( cP
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) ) )
| ( ( cP @ X4 @ X5 )
!= ( X3
@ ( cP
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f170,f25]) ).
thf(f25,plain,
! [X2: iS,X1: iS > $o] :
( ( $false
= ( X1 @ ( cP @ ( sK2 @ X1 ) @ ( sK1 @ X1 ) ) ) )
| ( ( X1 @ X2 )
= $true )
| ( $false
= ( X1 @ c0 ) ) ),
inference(binary_proxy_clausification,[],[f24]) ).
thf(f170,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS,X4: iS,X5: iS] :
( ( $true
= ( sK3 @ ( cP @ X0 @ X3 ) @ ( cP @ X1 @ X4 ) @ ( cP @ X2 @ X5 ) ) )
| ( $false
= ( sK3 @ X0 @ X1 @ X2 ) )
| ( $false
= ( sK3 @ X3 @ X4 @ X5 ) ) ),
inference(equality_resolution,[],[f169]) ).
thf(f169,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( ( ( cP @ X5 @ X6 )
!= X0 )
| ( $false
= ( sK3 @ X5 @ X1 @ X3 ) )
| ( ( sK3 @ X6 @ X2 @ X4 )
= $false )
| ( $true
= ( sK3 @ X0 @ ( cP @ X1 @ X2 ) @ ( cP @ X3 @ X4 ) ) ) ),
inference(equality_resolution,[],[f168]) ).
thf(f168,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( cP @ X2 @ X3 )
!= X4 )
| ( ( sK3 @ X5 @ ( cP @ X1 @ X6 ) @ X4 )
= $true )
| ( ( cP @ X0 @ X7 )
!= X5 )
| ( ( sK3 @ X7 @ X6 @ X3 )
= $false )
| ( $false
= ( sK3 @ X0 @ X1 @ X2 ) ) ),
inference(equality_resolution,[],[f85]) ).
thf(f85,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( ( cP @ X9 @ X4 )
!= X2 )
| ( ( sK3 @ X5 @ X9 @ X6 )
= $false )
| ( ( cP @ X6 @ X7 )
!= X1 )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( $false
= ( sK3 @ X8 @ X4 @ X7 ) )
| ( ( cP @ X5 @ X8 )
!= X3 ) ),
inference(equality_proxy_clausification,[],[f84]) ).
thf(f84,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( ( sK3 @ X5 @ X9 @ X6 )
= $false )
| ( $false
= ( sK3 @ X8 @ X4 @ X7 ) )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( $false
= ( ( cP @ X9 @ X4 )
= X2 ) )
| ( ( cP @ X6 @ X7 )
!= X1 )
| ( ( cP @ X5 @ X8 )
!= X3 ) ),
inference(equality_proxy_clausification,[],[f83]) ).
thf(f83,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( sK3 @ X8 @ X4 @ X7 ) )
| ( $false
= ( ( cP @ X5 @ X8 )
= X3 ) )
| ( ( sK3 @ X5 @ X9 @ X6 )
= $false )
| ( ( cP @ X6 @ X7 )
!= X1 )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( $false
= ( ( cP @ X9 @ X4 )
= X2 ) ) ),
inference(binary_proxy_clausification,[],[f82]) ).
thf(f82,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( ( sK3 @ X5 @ X9 @ X6 )
= $false )
| ( $false
= ( sK3 @ X8 @ X4 @ X7 ) )
| ( ( cP @ X6 @ X7 )
!= X1 )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( $false
= ( ( ( cP @ X9 @ X4 )
= X2 )
& ( ( cP @ X5 @ X8 )
= X3 ) ) ) ),
inference(equality_proxy_clausification,[],[f81]) ).
thf(f81,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( sK3 @ X8 @ X4 @ X7 ) )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( $false
= ( ( cP @ X6 @ X7 )
= X1 ) )
| ( ( sK3 @ X5 @ X9 @ X6 )
= $false )
| ( $false
= ( ( ( cP @ X9 @ X4 )
= X2 )
& ( ( cP @ X5 @ X8 )
= X3 ) ) ) ),
inference(binary_proxy_clausification,[],[f80]) ).
thf(f80,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( ( sK3 @ X5 @ X9 @ X6 )
= $false )
| ( $false
= ( ( ( cP @ X9 @ X4 )
= X2 )
& ( ( cP @ X5 @ X8 )
= X3 )
& ( ( cP @ X6 @ X7 )
= X1 ) ) )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( $false
= ( sK3 @ X8 @ X4 @ X7 ) ) ),
inference(binary_proxy_clausification,[],[f79]) ).
thf(f79,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( ( ( ( cP @ X9 @ X4 )
= X2 )
& ( ( cP @ X5 @ X8 )
= X3 )
& ( ( cP @ X6 @ X7 )
= X1 )
& ( sK3 @ X5 @ X9 @ X6 ) )
= $false )
| ( $false
= ( sK3 @ X8 @ X4 @ X7 ) )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f78]) ).
thf(f78,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( ( ( cP @ X9 @ X4 )
= X2 )
& ( ( cP @ X5 @ X8 )
= X3 )
& ( ( cP @ X6 @ X7 )
= X1 )
& ( sK3 @ X5 @ X9 @ X6 )
& ( sK3 @ X8 @ X4 @ X7 ) ) )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f77]) ).
thf(f77,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( ^ [Y0: iS] :
( ( ( cP @ Y0 @ X4 )
= X2 )
& ( ( cP @ X5 @ X8 )
= X3 )
& ( ( cP @ X6 @ X7 )
= X1 )
& ( sK3 @ X5 @ Y0 @ X6 )
& ( sK3 @ X8 @ X4 @ X7 ) )
@ X9 ) )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) ) ),
inference(pi_clausification,[],[f76]) ).
thf(f76,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( $false
= ( ?? @ iS
@ ^ [Y0: iS] :
( ( ( cP @ Y0 @ X4 )
= X2 )
& ( ( cP @ X5 @ X8 )
= X3 )
& ( ( cP @ X6 @ X7 )
= X1 )
& ( sK3 @ X5 @ Y0 @ X6 )
& ( sK3 @ X8 @ X4 @ X7 ) ) ) ) ),
inference(beta_eta_normalization,[],[f75]) ).
thf(f75,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ( ( cP @ Y1 @ X4 )
= X2 )
& ( ( cP @ X5 @ Y0 )
= X3 )
& ( ( cP @ X6 @ X7 )
= X1 )
& ( sK3 @ X5 @ Y1 @ X6 )
& ( sK3 @ Y0 @ X4 @ X7 ) ) )
@ X8 ) )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) ) ),
inference(pi_clausification,[],[f74]) ).
thf(f74,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ( ( cP @ Y1 @ X4 )
= X2 )
& ( ( cP @ X5 @ Y0 )
= X3 )
& ( ( cP @ X6 @ X7 )
= X1 )
& ( sK3 @ X5 @ Y1 @ X6 )
& ( sK3 @ Y0 @ X4 @ X7 ) ) ) )
= $false )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f73]) ).
thf(f73,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( $false
= ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ( ( cP @ Y2 @ X4 )
= X2 )
& ( ( cP @ X5 @ Y1 )
= X3 )
& ( ( cP @ X6 @ Y0 )
= X1 )
& ( sK3 @ X5 @ Y2 @ X6 )
& ( sK3 @ Y1 @ X4 @ Y0 ) ) ) )
@ X7 ) ) ),
inference(pi_clausification,[],[f72]) ).
thf(f72,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( ( $false
= ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ( ( cP @ Y2 @ X4 )
= X2 )
& ( ( cP @ X5 @ Y1 )
= X3 )
& ( ( cP @ X6 @ Y0 )
= X1 )
& ( sK3 @ X5 @ Y2 @ X6 )
& ( sK3 @ Y1 @ X4 @ Y0 ) ) ) ) ) )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f71]) ).
thf(f71,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( ( $false
= ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y3 @ X4 )
= X2 )
& ( ( cP @ X5 @ Y2 )
= X3 )
& ( ( cP @ Y0 @ Y1 )
= X1 )
& ( sK3 @ X5 @ Y3 @ Y0 )
& ( sK3 @ Y2 @ X4 @ Y1 ) ) ) ) )
@ X6 ) )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) ) ),
inference(pi_clausification,[],[f70]) ).
thf(f70,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS,X5: iS] :
( ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y3 @ X4 )
= X2 )
& ( ( cP @ X5 @ Y2 )
= X3 )
& ( ( cP @ Y0 @ Y1 )
= X1 )
& ( sK3 @ X5 @ Y3 @ Y0 )
& ( sK3 @ Y2 @ X4 @ Y1 ) ) ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f69]) ).
thf(f69,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS,X5: iS] :
( ( $false
= ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ( ( cP @ Y4 @ X4 )
= X2 )
& ( ( cP @ Y0 @ Y3 )
= X3 )
& ( ( cP @ Y1 @ Y2 )
= X1 )
& ( sK3 @ Y0 @ Y4 @ Y1 )
& ( sK3 @ Y3 @ X4 @ Y2 ) ) ) ) ) )
@ X5 ) )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) ) ),
inference(pi_clausification,[],[f68]) ).
thf(f68,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS] :
( ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( $false
= ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ( ( cP @ Y4 @ X4 )
= X2 )
& ( ( cP @ Y0 @ Y3 )
= X3 )
& ( ( cP @ Y1 @ Y2 )
= X1 )
& ( sK3 @ Y0 @ Y4 @ Y1 )
& ( sK3 @ Y3 @ X4 @ Y2 ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f67]) ).
thf(f67,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS] :
( ( $false
= ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( ( cP @ Y5 @ Y0 )
= X2 )
& ( ( cP @ Y1 @ Y4 )
= X3 )
& ( ( cP @ Y2 @ Y3 )
= X1 )
& ( sK3 @ Y1 @ Y5 @ Y2 )
& ( sK3 @ Y4 @ Y0 @ Y3 ) ) ) ) ) ) )
@ X4 ) )
| ( $true
= ( sK3 @ X3 @ X2 @ X1 ) ) ),
inference(pi_clausification,[],[f62]) ).
thf(f62,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK3 @ X3 @ X2 @ X1 ) )
| ( $false
= ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( ( cP @ Y5 @ Y0 )
= X2 )
& ( ( cP @ Y1 @ Y4 )
= X3 )
& ( ( cP @ Y2 @ Y3 )
= X1 )
& ( sK3 @ Y1 @ Y5 @ Y2 )
& ( sK3 @ Y4 @ Y0 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEV199^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.11 % 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
% 0.11/0.30 % Computer : n009.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sun May 19 18:34:22 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a TH0_THM_EQU_NAR problem
% 0.11/0.31 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
% 0.16/0.32 % (19759)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.32 % (19758)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 (2999ds/27Mi)
% 0.16/0.32 % (19757)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 (2999ds/4Mi)
% 0.16/0.32 % (19762)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.32 % (19763)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.32 % (19759)Instruction limit reached!
% 0.16/0.32 % (19759)------------------------------
% 0.16/0.32 % (19759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.32 % (19759)Termination reason: Unknown
% 0.16/0.32 % (19759)Termination phase: Property scanning
% 0.16/0.32
% 0.16/0.32 % (19759)Memory used [KB]: 1023
% 0.16/0.33 % (19759)Time elapsed: 0.003 s
% 0.16/0.33 % (19759)Instructions burned: 2 (million)
% 0.16/0.33 % (19759)------------------------------
% 0.16/0.33 % (19759)------------------------------
% 0.16/0.33 % (19761)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 (2999ds/275Mi)
% 0.16/0.33 % (19763)Instruction limit reached!
% 0.16/0.33 % (19763)------------------------------
% 0.16/0.33 % (19763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (19763)Termination reason: Unknown
% 0.16/0.33 % (19763)Termination phase: Saturation
% 0.16/0.33
% 0.16/0.33 % (19763)Memory used [KB]: 5500
% 0.16/0.33 % (19763)Time elapsed: 0.003 s
% 0.16/0.33 % (19763)Instructions burned: 3 (million)
% 0.16/0.33 % (19763)------------------------------
% 0.16/0.33 % (19763)------------------------------
% 0.16/0.33 % (19757)Instruction limit reached!
% 0.16/0.33 % (19757)------------------------------
% 0.16/0.33 % (19757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (19757)Termination reason: Unknown
% 0.16/0.33 % (19757)Termination phase: Saturation
% 0.16/0.33
% 0.16/0.33 % (19757)Memory used [KB]: 5500
% 0.16/0.33 % (19757)Time elapsed: 0.004 s
% 0.16/0.33 % (19757)Instructions burned: 5 (million)
% 0.16/0.33 % (19757)------------------------------
% 0.16/0.33 % (19757)------------------------------
% 0.16/0.33 % (19756)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.33 % (19762)Instruction limit reached!
% 0.16/0.33 % (19762)------------------------------
% 0.16/0.33 % (19762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (19762)Termination reason: Unknown
% 0.16/0.33 % (19762)Termination phase: Saturation
% 0.16/0.33
% 0.16/0.33 % (19762)Memory used [KB]: 5628
% 0.16/0.33 % (19762)Time elapsed: 0.011 s
% 0.16/0.33 % (19762)Instructions burned: 19 (million)
% 0.16/0.33 % (19762)------------------------------
% 0.16/0.33 % (19762)------------------------------
% 0.16/0.34 % (19760)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 (2999ds/2Mi)
% 0.16/0.34 % (19760)Instruction limit reached!
% 0.16/0.34 % (19760)------------------------------
% 0.16/0.34 % (19760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.34 % (19760)Termination reason: Unknown
% 0.16/0.34 % (19760)Termination phase: Property scanning
% 0.16/0.34
% 0.16/0.34 % (19760)Memory used [KB]: 1023
% 0.16/0.34 % (19760)Time elapsed: 0.003 s
% 0.16/0.34 % (19760)Instructions burned: 3 (million)
% 0.16/0.34 % (19760)------------------------------
% 0.16/0.34 % (19760)------------------------------
% 0.16/0.34 % (19758)Instruction limit reached!
% 0.16/0.34 % (19758)------------------------------
% 0.16/0.34 % (19758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.34 % (19764)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)
% 0.16/0.34 % (19758)Termination reason: Unknown
% 0.16/0.34 % (19758)Termination phase: Saturation
% 0.16/0.34
% 0.16/0.34 % (19758)Memory used [KB]: 5628
% 0.16/0.34 % (19758)Time elapsed: 0.016 s
% 0.16/0.34 % (19758)Instructions burned: 27 (million)
% 0.16/0.34 % (19758)------------------------------
% 0.16/0.34 % (19758)------------------------------
% 0.16/0.34 % (19765)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)
% 0.16/0.35 % (19765)Instruction limit reached!
% 0.16/0.35 % (19765)------------------------------
% 0.16/0.35 % (19765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.35 % (19765)Termination reason: Unknown
% 0.16/0.35 % (19765)Termination phase: Saturation
% 0.16/0.35
% 0.16/0.35 % (19765)Memory used [KB]: 5628
% 0.16/0.35 % (19765)Time elapsed: 0.010 s
% 0.16/0.35 % (19765)Instructions burned: 16 (million)
% 0.16/0.35 % (19765)------------------------------
% 0.16/0.35 % (19765)------------------------------
% 0.16/0.35 % (19767)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)
% 0.16/0.35 % (19766)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)
% 0.16/0.35 % (19766)Instruction limit reached!
% 0.16/0.35 % (19766)------------------------------
% 0.16/0.35 % (19766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.35 % (19766)Termination reason: Unknown
% 0.16/0.35 % (19766)Termination phase: Property scanning
% 0.16/0.35
% 0.16/0.35 % (19766)Memory used [KB]: 1023
% 0.16/0.35 % (19766)Time elapsed: 0.003 s
% 0.16/0.35 % (19766)Instructions burned: 3 (million)
% 0.16/0.35 % (19766)------------------------------
% 0.16/0.35 % (19766)------------------------------
% 0.16/0.35 % (19768)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.35 % (19764)Instruction limit reached!
% 0.16/0.35 % (19764)------------------------------
% 0.16/0.35 % (19764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.35 % (19764)Termination reason: Unknown
% 0.16/0.35 % (19764)Termination phase: Saturation
% 0.16/0.35
% 0.16/0.35 % (19764)Memory used [KB]: 5756
% 0.16/0.35 % (19764)Time elapsed: 0.019 s
% 0.16/0.35 % (19764)Instructions burned: 37 (million)
% 0.16/0.35 % (19764)------------------------------
% 0.16/0.35 % (19764)------------------------------
% 0.16/0.36 % (19768)Instruction limit reached!
% 0.16/0.36 % (19768)------------------------------
% 0.16/0.36 % (19768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.36 % (19768)Termination reason: Unknown
% 0.16/0.36 % (19768)Termination phase: Saturation
% 0.16/0.36
% 0.16/0.36 % (19768)Memory used [KB]: 1151
% 0.16/0.36 % (19768)Time elapsed: 0.007 s
% 0.16/0.36 % (19768)Instructions burned: 8 (million)
% 0.16/0.36 % (19768)------------------------------
% 0.16/0.36 % (19768)------------------------------
% 0.16/0.36 % (19769)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.36 % (19770)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)
% 0.16/0.36 % (19770)Instruction limit reached!
% 0.16/0.36 % (19770)------------------------------
% 0.16/0.36 % (19770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.36 % (19770)Termination reason: Unknown
% 0.16/0.36 % (19770)Termination phase: Twee Goal Transformation
% 0.16/0.36
% 0.16/0.36 % (19770)Memory used [KB]: 1023
% 0.16/0.36 % (19770)Time elapsed: 0.003 s
% 0.16/0.36 % (19770)Instructions burned: 4 (million)
% 0.16/0.36 % (19770)------------------------------
% 0.16/0.36 % (19770)------------------------------
% 0.16/0.36 % (19771)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)
% 0.16/0.37 % (19771)Instruction limit reached!
% 0.16/0.37 % (19771)------------------------------
% 0.16/0.37 % (19771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (19771)Termination reason: Unknown
% 0.16/0.37 % (19771)Termination phase: Property scanning
% 0.16/0.37
% 0.16/0.37 % (19771)Memory used [KB]: 1023
% 0.16/0.37 % (19771)Time elapsed: 0.003 s
% 0.16/0.37 % (19771)Instructions burned: 3 (million)
% 0.16/0.37 % (19771)------------------------------
% 0.16/0.37 % (19771)------------------------------
% 0.16/0.37 % (19769)Instruction limit reached!
% 0.16/0.37 % (19769)------------------------------
% 0.16/0.37 % (19769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (19769)Termination reason: Unknown
% 0.16/0.37 % (19769)Termination phase: Saturation
% 0.16/0.37
% 0.16/0.37 % (19769)Memory used [KB]: 5628
% 0.16/0.37 % (19769)Time elapsed: 0.010 s
% 0.16/0.37 % (19769)Instructions burned: 16 (million)
% 0.16/0.37 % (19769)------------------------------
% 0.16/0.37 % (19769)------------------------------
% 0.16/0.37 % (19772)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)
% 0.16/0.37 % (19774)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.16/0.37 % (19772)Instruction limit reached!
% 0.16/0.37 % (19772)------------------------------
% 0.16/0.37 % (19772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (19772)Termination reason: Unknown
% 0.16/0.37 % (19772)Termination phase: Saturation
% 0.16/0.37
% 0.16/0.37 % (19772)Memory used [KB]: 5500
% 0.16/0.37 % (19772)Time elapsed: 0.006 s
% 0.16/0.37 % (19772)Instructions burned: 8 (million)
% 0.16/0.37 % (19772)------------------------------
% 0.16/0.37 % (19772)------------------------------
% 0.16/0.37 % (19774)Instruction limit reached!
% 0.16/0.37 % (19774)------------------------------
% 0.16/0.37 % (19774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (19774)Termination reason: Unknown
% 0.16/0.37 % (19774)Termination phase: Saturation
% 0.16/0.37
% 0.16/0.37 % (19774)Memory used [KB]: 5500
% 0.16/0.37 % (19774)Time elapsed: 0.003 s
% 0.16/0.37 % (19774)Instructions burned: 4 (million)
% 0.16/0.37 % (19774)------------------------------
% 0.16/0.37 % (19774)------------------------------
% 0.16/0.38 % (19773)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)
% 0.16/0.38 % (19773)Instruction limit reached!
% 0.16/0.38 % (19773)------------------------------
% 0.16/0.38 % (19773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38 % (19773)Termination reason: Unknown
% 0.16/0.38 % (19773)Termination phase: Saturation
% 0.16/0.38
% 0.16/0.38 % (19773)Memory used [KB]: 5500
% 0.16/0.38 % (19773)Time elapsed: 0.004 s
% 0.16/0.38 % (19773)Instructions burned: 4 (million)
% 0.16/0.38 % (19773)------------------------------
% 0.16/0.38 % (19773)------------------------------
% 0.16/0.38 % (19775)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)
% 0.16/0.38 % (19776)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.16/0.38 % (19779)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.38 % (19779)Instruction limit reached!
% 0.16/0.38 % (19779)------------------------------
% 0.16/0.38 % (19779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38 % (19779)Termination reason: Unknown
% 0.16/0.38 % (19779)Termination phase: Saturation
% 0.16/0.38
% 0.16/0.38 % (19779)Memory used [KB]: 5500
% 0.16/0.38 % (19779)Time elapsed: 0.003 s
% 0.16/0.38 % (19779)Instructions burned: 6 (million)
% 0.16/0.38 % (19779)------------------------------
% 0.16/0.38 % (19779)------------------------------
% 0.16/0.39 % (19775)Refutation not found, incomplete strategy
% 0.16/0.39 % (19775)------------------------------
% 0.16/0.39 % (19775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (19775)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.39
% 0.16/0.39
% 0.16/0.39 % (19775)Memory used [KB]: 5500
% 0.16/0.39 % (19775)Time elapsed: 0.006 s
% 0.16/0.39 % (19775)Instructions burned: 8 (million)
% 0.16/0.39 % (19775)------------------------------
% 0.16/0.39 % (19775)------------------------------
% 0.16/0.39 % (19782)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.16/0.39 % (19780)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)
% 0.16/0.39 % (19782)Instruction limit reached!
% 0.16/0.39 % (19782)------------------------------
% 0.16/0.39 % (19782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (19782)Termination reason: Unknown
% 0.16/0.39 % (19782)Termination phase: Saturation
% 0.16/0.39
% 0.16/0.39 % (19782)Memory used [KB]: 5500
% 0.16/0.39 % (19782)Time elapsed: 0.003 s
% 0.16/0.39 % (19782)Instructions burned: 5 (million)
% 0.16/0.39 % (19782)------------------------------
% 0.16/0.39 % (19782)------------------------------
% 0.16/0.40 % (19781)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)
% 0.16/0.40 % (19783)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)
% 0.16/0.40 % (19783)Instruction limit reached!
% 0.16/0.40 % (19783)------------------------------
% 0.16/0.40 % (19783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (19783)Termination reason: Unknown
% 0.16/0.40 % (19783)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (19783)Memory used [KB]: 5500
% 0.16/0.40 % (19783)Time elapsed: 0.004 s
% 0.16/0.40 % (19783)Instructions burned: 6 (million)
% 0.16/0.40 % (19783)------------------------------
% 0.16/0.40 % (19783)------------------------------
% 0.16/0.41 % (19781)Instruction limit reached!
% 0.16/0.41 % (19781)------------------------------
% 0.16/0.41 % (19781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (19781)Termination reason: Unknown
% 0.16/0.41 % (19781)Termination phase: Saturation
% 0.16/0.41
% 0.16/0.41 % (19781)Memory used [KB]: 5628
% 0.16/0.41 % (19781)Time elapsed: 0.014 s
% 0.16/0.41 % (19781)Instructions burned: 21 (million)
% 0.16/0.41 % (19781)------------------------------
% 0.16/0.41 % (19781)------------------------------
% 0.16/0.41 % (19756)Instruction limit reached!
% 0.16/0.41 % (19756)------------------------------
% 0.16/0.41 % (19756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (19756)Termination reason: Unknown
% 0.16/0.41 % (19756)Termination phase: Saturation
% 0.16/0.41
% 0.16/0.41 % (19756)Memory used [KB]: 6396
% 0.16/0.41 % (19756)Time elapsed: 0.090 s
% 0.16/0.41 % (19756)Instructions burned: 185 (million)
% 0.16/0.41 % (19756)------------------------------
% 0.16/0.41 % (19756)------------------------------
% 0.16/0.42 % (19784)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.16/0.43 % (19786)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)
% 0.16/0.43 % (19785)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)
% 0.16/0.44 % (19786)Instruction limit reached!
% 0.16/0.44 % (19786)------------------------------
% 0.16/0.44 % (19786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (19786)Termination reason: Unknown
% 0.16/0.44 % (19786)Termination phase: Saturation
% 0.16/0.44
% 0.16/0.44 % (19786)Memory used [KB]: 5628
% 0.16/0.44 % (19786)Time elapsed: 0.011 s
% 0.16/0.44 % (19786)Instructions burned: 20 (million)
% 0.16/0.44 % (19786)------------------------------
% 0.16/0.44 % (19786)------------------------------
% 0.16/0.44 % (19787)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)
% 0.16/0.45 % (19788)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.16/0.45 % (19788)Instruction limit reached!
% 0.16/0.45 % (19788)------------------------------
% 0.16/0.45 % (19788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45 % (19788)Termination reason: Unknown
% 0.16/0.45 % (19788)Termination phase: Saturation
% 0.16/0.45
% 0.16/0.45 % (19788)Memory used [KB]: 5628
% 0.16/0.45 % (19788)Time elapsed: 0.009 s
% 0.16/0.45 % (19788)Instructions burned: 20 (million)
% 0.16/0.45 % (19788)------------------------------
% 0.16/0.45 % (19788)------------------------------
% 0.16/0.46 % (19761)Instruction limit reached!
% 0.16/0.46 % (19761)------------------------------
% 0.16/0.46 % (19761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.46 % (19761)Termination reason: Unknown
% 0.16/0.46 % (19761)Termination phase: Saturation
% 0.16/0.46
% 0.16/0.46 % (19761)Memory used [KB]: 6140
% 0.16/0.46 % (19761)Time elapsed: 0.133 s
% 0.16/0.46 % (19761)Instructions burned: 275 (million)
% 0.16/0.46 % (19761)------------------------------
% 0.16/0.46 % (19761)------------------------------
% 0.16/0.47 % (19789)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.16/0.47 % (19789)Instruction limit reached!
% 0.16/0.47 % (19789)------------------------------
% 0.16/0.47 % (19789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.47 % (19789)Termination reason: Unknown
% 0.16/0.47 % (19789)Termination phase: Property scanning
% 0.16/0.47
% 0.16/0.47 % (19789)Memory used [KB]: 1023
% 0.16/0.47 % (19789)Time elapsed: 0.003 s
% 0.16/0.47 % (19789)Instructions burned: 3 (million)
% 0.16/0.47 % (19789)------------------------------
% 0.16/0.47 % (19789)------------------------------
% 0.16/0.48 % (19791)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 (2998ds/127Mi)
% 0.16/0.48 % (19790)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.16/0.50 % (19790)Instruction limit reached!
% 0.16/0.50 % (19790)------------------------------
% 0.16/0.50 % (19790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.50 % (19790)Termination reason: Unknown
% 0.16/0.50 % (19790)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (19790)Memory used [KB]: 5756
% 0.16/0.50 % (19790)Time elapsed: 0.040 s
% 0.16/0.50 % (19790)Instructions burned: 30 (million)
% 0.16/0.50 % (19790)------------------------------
% 0.16/0.50 % (19790)------------------------------
% 0.16/0.52 % (19792)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 (2998ds/100Mi)
% 0.16/0.52 % (19792)Refutation not found, incomplete strategy
% 0.16/0.52 % (19792)------------------------------
% 0.16/0.52 % (19792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.52 % (19792)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.52
% 0.16/0.52
% 0.16/0.52 % (19792)Memory used [KB]: 5500
% 0.16/0.52 % (19792)Time elapsed: 0.032 s
% 0.16/0.52 % (19792)Instructions burned: 7 (million)
% 0.16/0.52 % (19792)------------------------------
% 0.16/0.52 % (19792)------------------------------
% 0.16/0.54 % (19791)Instruction limit reached!
% 0.16/0.54 % (19791)------------------------------
% 0.16/0.54 % (19791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.54 % (19791)Termination reason: Unknown
% 0.16/0.54 % (19791)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (19791)Memory used [KB]: 6268
% 0.16/0.54 % (19791)Time elapsed: 0.058 s
% 0.16/0.54 % (19791)Instructions burned: 128 (million)
% 0.16/0.54 % (19791)------------------------------
% 0.16/0.54 % (19791)------------------------------
% 0.16/0.54 % (19793)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 (2998ds/3Mi)
% 0.16/0.54 % (19785)First to succeed.
% 0.16/0.54 % (19793)Instruction limit reached!
% 0.16/0.54 % (19793)------------------------------
% 0.16/0.54 % (19793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.54 % (19793)Termination reason: Unknown
% 0.16/0.54 % (19793)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (19793)Memory used [KB]: 1023
% 0.16/0.54 % (19793)Time elapsed: 0.004 s
% 0.16/0.54 % (19793)Instructions burned: 4 (million)
% 0.16/0.54 % (19793)------------------------------
% 0.16/0.54 % (19793)------------------------------
% 0.16/0.55 % (19785)Refutation found. Thanks to Tanya!
% 0.16/0.55 % SZS status Theorem for theBenchmark
% 0.16/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.55 % (19785)------------------------------
% 0.16/0.55 % (19785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.55 % (19785)Termination reason: Refutation
% 0.16/0.55
% 0.16/0.55 % (19785)Memory used [KB]: 6396
% 0.16/0.55 % (19785)Time elapsed: 0.139 s
% 0.16/0.55 % (19785)Instructions burned: 246 (million)
% 0.16/0.55 % (19785)------------------------------
% 0.16/0.55 % (19785)------------------------------
% 0.16/0.55 % (19755)Success in time 0.216 s
% 0.16/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------