TSTP Solution File: SEV203^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV203^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.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 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 17
% Syntax : Number of formulae : 137 ( 23 unt; 10 typ; 0 def)
% Number of atoms : 1400 ( 548 equ; 0 cnn)
% Maximal formula atoms : 12 ( 11 avg)
% Number of connectives : 3419 ( 141 ~; 287 |; 242 &;2414 @)
% ( 6 <=>; 77 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 108 ( 108 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 14 usr; 13 con; 0-3 aty)
% ( 120 !!; 132 ??; 0 @@+; 0 @@-)
% Number of variables : 861 ( 488 ^ 354 !; 18 ?; 861 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
iS: $tType ).
thf(func_def_0,type,
iS: $tType ).
thf(func_def_1,type,
y: iS ).
thf(func_def_2,type,
x: iS ).
thf(func_def_3,type,
cP: iS > iS > iS ).
thf(func_def_4,type,
c0: iS ).
thf(func_def_27,type,
sK1: iS > iS > iS > $o ).
thf(func_def_28,type,
sK2: ( iS > $o ) > iS ).
thf(func_def_29,type,
sK3: ( iS > $o ) > iS ).
thf(func_def_30,type,
ph4:
!>[X0: $tType] : X0 ).
thf(f496,plain,
$false,
inference(avatar_sat_refutation,[],[f198,f211,f304,f362,f414,f446,f493]) ).
thf(f493,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f492]) ).
thf(f492,plain,
( $false
| ~ spl0_3
| spl0_4 ),
inference(trivial_inequality_removal,[],[f482]) ).
thf(f482,plain,
( ( $true = $false )
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f447,f475]) ).
thf(f475,plain,
( ! [X0: iS] :
( $true
= ( sK1 @ X0 @ X0 @ X0 ) )
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f474,f296]) ).
thf(f296,plain,
( ( $false
!= ( sK1 @ c0 @ c0 @ c0 ) )
| spl0_4 ),
inference(avatar_component_clause,[],[f295]) ).
thf(f295,plain,
( spl0_4
<=> ( $false
= ( sK1 @ c0 @ c0 @ c0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f474,plain,
( ! [X0: iS] :
( ( $true
= ( sK1 @ X0 @ X0 @ X0 ) )
| ( $false
= ( sK1 @ c0 @ c0 @ c0 ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f473]) ).
thf(f473,plain,
( ! [X0: iS] :
( ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) )
| ( $true
= ( sK1 @ X0 @ X0 @ X0 ) )
| ( $false
= ( sK1 @ c0 @ c0 @ c0 ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f472]) ).
thf(f472,plain,
( ! [X0: iS] :
( ( $false
= ( sK1 @ c0
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 ) ) )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( $true
= ( sK1 @ X0
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 ) ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f471]) ).
thf(f471,plain,
( ! [X0: iS] :
( ( $true
= ( sK1 @ X0
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 ) ) )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( $false
= ( sK1 @ c0
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 ) ) ) )
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f468]) ).
thf(f468,plain,
( ! [X0: iS] :
( ( $true
= ( sK1 @ X0
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( $false
= ( sK1 @ c0
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 ) ) ) )
| ~ spl0_3 ),
inference(equality_resolution,[],[f460]) ).
thf(f460,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= X1 )
| ( ( ^ [Y0: iS] : Y0 )
!= X0 )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( X0
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ ( X0 @ Y0 ) @ ( X1 @ Y0 ) ) ) ) )
| ( $false
= ( sK1 @ c0 @ ( X0 @ c0 ) @ ( X1 @ c0 ) ) )
| ( $true
= ( sK1 @ X2 @ ( X0 @ X2 ) @ ( X1 @ X2 ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f459]) ).
thf(f459,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( $false
= ( ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) )
@ c0 ) )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK3
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) ) ) ) )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( X0
@ ( sK3
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) ) ) ) )
| ( $true
= ( ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) )
@ X2 ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X1 @ Y0 ) ) )
| ( ( ^ [Y0: iS] : ( X0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f452]) ).
thf(f452,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( $true = $false )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( X0
@ ( sK3
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) ) ) ) )
| ( $false
= ( ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) )
@ c0 ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X1 @ Y0 ) ) )
| ( $true
= ( ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) )
@ X2 ) )
| ( ( ^ [Y0: iS] : ( X0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK3
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 )
@ ( X1 @ Y0 ) ) ) ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f66,f447]) ).
thf(f66,plain,
! [X2: iS,X1: iS > $o] :
( ( $true
= ( X1 @ ( sK3 @ X1 ) ) )
| ( $false
= ( X1 @ c0 ) )
| ( $true
= ( X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f64]) ).
thf(f64,plain,
! [X2: iS,X1: iS > $o] :
( ( $true
= ( X1 @ X2 ) )
| ( $false
= ( X1 @ c0 ) )
| ( $true
= ( ( X1 @ ( sK3 @ X1 ) )
& ( X1 @ ( sK2 @ X1 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f62]) ).
thf(f62,plain,
! [X2: iS,X1: iS > $o] :
( ( $false
= ( X1 @ c0 ) )
| ( $true
= ( X1 @ X2 ) )
| ( $false
= ( ( ( X1 @ ( sK3 @ X1 ) )
& ( X1 @ ( sK2 @ X1 ) ) )
=> ( X1 @ ( cP @ ( sK3 @ X1 ) @ ( sK2 @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f61]) ).
thf(f61,plain,
! [X2: iS,X1: iS > $o] :
( ( $false
= ( X1 @ c0 ) )
| ( $false
= ( ^ [Y0: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ ( sK2 @ X1 ) ) )
=> ( X1 @ ( cP @ Y0 @ ( sK2 @ X1 ) ) ) )
@ ( sK3 @ X1 ) ) )
| ( $true
= ( X1 @ X2 ) ) ),
inference(sigma_clausification,[],[f60]) ).
thf(f60,plain,
! [X2: iS,X1: iS > $o] :
( ( $false
= ( X1 @ c0 ) )
| ( ( !! @ iS
@ ^ [Y0: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ ( sK2 @ X1 ) ) )
=> ( X1 @ ( cP @ Y0 @ ( sK2 @ X1 ) ) ) ) )
= $false )
| ( $true
= ( X1 @ X2 ) ) ),
inference(pi_clausification,[],[f59]) ).
thf(f59,plain,
! [X1: iS > $o] :
( ( $true
= ( !! @ iS @ X1 ) )
| ( $false
= ( X1 @ c0 ) )
| ( ( !! @ iS
@ ^ [Y0: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ ( sK2 @ X1 ) ) )
=> ( X1 @ ( cP @ Y0 @ ( sK2 @ X1 ) ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f58]) ).
thf(f58,plain,
! [X1: iS > $o] :
( ( $true
= ( !! @ iS @ X1 ) )
| ( $false
= ( X1 @ c0 ) )
| ( $false
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y1 )
& ( X1 @ Y0 ) )
=> ( X1 @ ( cP @ Y1 @ Y0 ) ) ) )
@ ( sK2 @ X1 ) ) ) ),
inference(sigma_clausification,[],[f57]) ).
thf(f57,plain,
! [X1: iS > $o] :
( ( $false
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y1 )
& ( X1 @ Y0 ) )
=> ( X1 @ ( cP @ Y1 @ Y0 ) ) ) ) ) )
| ( $false
= ( X1 @ c0 ) )
| ( $true
= ( !! @ iS @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f56]) ).
thf(f56,plain,
! [X1: iS > $o] :
( ( $false
= ( ( X1 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y1 )
& ( X1 @ Y0 ) )
=> ( X1 @ ( cP @ Y1 @ Y0 ) ) ) ) ) ) )
| ( $true
= ( !! @ iS @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f55]) ).
thf(f55,plain,
! [X1: iS > $o] :
( $true
= ( ( ( X1 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y1 )
& ( X1 @ Y0 ) )
=> ( X1 @ ( cP @ Y1 @ Y0 ) ) ) ) ) )
=> ( !! @ iS @ X1 ) ) ),
inference(beta_eta_normalization,[],[f54]) ).
thf(f54,plain,
! [X1: iS > $o] :
( $true
= ( ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[],[f52]) ).
thf(f52,plain,
( $true
= ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f11,plain,
( $true
= ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= ( cP @ Y0 @ Y3 ) )
=> ( ( Y1 = Y0 )
& ( Y3 = Y2 ) ) ) ) ) ) )
& ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f9,plain,
( $false
= ( ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= ( cP @ Y0 @ Y3 ) )
=> ( ( Y1 = Y0 )
& ( Y3 = Y2 ) ) ) ) ) ) )
& ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( c0 = Y1 )
& ( Y3 = Y2 ) )
| ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y7 @ Y8 )
= Y3 )
& ( ( cP @ Y5 @ Y9 )
= Y1 )
& ( ( cP @ Y6 @ Y4 )
= Y2 )
& ( Y0 @ Y8 @ Y9 @ Y4 )
& ( Y0 @ Y7 @ Y5 @ Y6 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f8]) ).
thf(f8,plain,
( $true
= ( ~ ( ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= ( cP @ Y0 @ Y3 ) )
=> ( ( Y1 = Y0 )
& ( Y3 = Y2 ) ) ) ) ) ) )
& ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( c0 = Y1 )
& ( Y3 = Y2 ) )
| ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y7 @ Y8 )
= Y3 )
& ( ( cP @ Y5 @ Y9 )
= Y1 )
& ( ( cP @ Y6 @ Y4 )
= Y2 )
& ( Y0 @ Y8 @ Y9 @ Y4 )
& ( Y0 @ Y7 @ Y5 @ Y6 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f7]) ).
thf(f7,plain,
( $true
= ( ~ ( ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= ( cP @ Y0 @ Y3 ) )
=> ( ( Y1 = Y0 )
& ( Y3 = Y2 ) ) ) ) ) ) )
& ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( $true
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( c0 = Y1 )
& ( Y3 = Y2 ) )
| ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y7 @ Y8 )
= Y3 )
& ( ( cP @ Y5 @ Y9 )
= Y1 )
& ( ( cP @ Y6 @ Y4 )
= Y2 )
& ( Y0 @ Y8 @ Y9 @ Y4 )
& ( Y0 @ Y7 @ Y5 @ Y6 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y3 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= ( cP @ Y0 @ Y3 ) )
=> ( ( Y1 = Y0 )
& ( Y3 = Y2 ) ) ) ) ) ) )
& ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( $true
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( c0 = Y1 )
& ( Y3 = Y2 ) )
| ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y7 @ Y8 )
= Y3 )
& ( ( cP @ Y5 @ Y9 )
= Y1 )
& ( ( cP @ Y6 @ Y4 )
= Y2 )
& ( Y0 @ Y8 @ Y9 @ Y4 )
& ( Y0 @ Y7 @ Y5 @ Y6 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y3 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y1 @ Y0 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= ( cP @ Y0 @ Y3 ) )
=> ( ( Y1 = Y0 )
& ( Y3 = Y2 ) ) ) ) ) ) )
& ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( $true
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( c0 = Y1 )
& ( Y3 = Y2 ) )
| ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y7 @ Y8 )
= Y3 )
& ( ( cP @ Y5 @ Y9 )
= Y1 )
& ( ( cP @ Y6 @ Y4 )
= Y2 )
& ( Y0 @ Y8 @ Y9 @ Y4 )
& ( Y0 @ Y7 @ Y5 @ Y6 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y3 @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ( ! [X0: iS > $o] :
( ( ! [X1: iS,X2: iS] :
( ( ( X0 @ X2 )
& ( X0 @ X1 ) )
=> ( X0 @ ( cP @ X1 @ X2 ) ) )
& ( X0 @ c0 ) )
=> ! [X3: iS] : ( X0 @ X3 ) )
& ! [X4: iS,X5: iS,X6: iS,X7: iS] :
( ( ( cP @ X6 @ X5 )
= ( cP @ X7 @ X4 ) )
=> ( ( X4 = X5 )
& ( X6 = X7 ) ) )
& ! [X8: iS,X9: iS] :
( c0
!= ( cP @ X8 @ X9 ) ) )
=> ! [X10: iS > iS > iS > $o] :
( ( ! [X11: iS,X12: iS,X13: iS] :
( ( ? [X14: iS,X15: iS,X16: iS,X17: iS,X18: iS,X19: iS] :
( ( X10 @ X16 @ X18 @ X17 )
& ( X10 @ X15 @ X14 @ X19 )
& ( ( cP @ X17 @ X19 )
= X12 )
& ( ( cP @ X18 @ X14 )
= X13 )
& ( ( cP @ X16 @ X15 )
= X11 ) )
| ( ( c0 = X11 )
& ( X12 = X13 ) )
| ( ( X11 = X12 )
& ( c0 = X13 ) ) )
=> ( X10 @ X11 @ X13 @ X12 ) )
& $true )
=> ( X10 @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X4: iS > $o] :
( ( ! [X0: iS,X1: iS] :
( ( ( X4 @ X1 )
& ( X4 @ X0 ) )
=> ( X4 @ ( cP @ X0 @ X1 ) ) )
& ( X4 @ c0 ) )
=> ! [X0: iS] : ( X4 @ X0 ) )
& ! [X3: iS,X2: iS,X0: iS,X1: iS] :
( ( ( cP @ X0 @ X2 )
= ( cP @ X1 @ X3 ) )
=> ( ( X2 = X3 )
& ( X0 = X1 ) ) )
& ! [X0: iS,X1: iS] :
( ( cP @ X0 @ X1 )
!= c0 ) )
=> ! [X5: iS > iS > iS > $o] :
( ( ! [X6: iS,X8: iS,X7: iS] :
( ( ? [X12: iS,X10: iS,X9: iS,X13: iS,X11: iS,X14: iS] :
( ( X5 @ X9 @ X11 @ X13 )
& ( X5 @ X10 @ X12 @ X14 )
& ( ( cP @ X13 @ X14 )
= X8 )
& ( ( cP @ X11 @ X12 )
= X7 )
& ( ( cP @ X9 @ X10 )
= X6 ) )
| ( ( c0 = X6 )
& ( X7 = X8 ) )
| ( ( X6 = X8 )
& ( c0 = X7 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) )
& $true )
=> ( X5 @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X4: iS > $o] :
( ( ! [X0: iS,X1: iS] :
( ( ( X4 @ X1 )
& ( X4 @ X0 ) )
=> ( X4 @ ( cP @ X0 @ X1 ) ) )
& ( X4 @ c0 ) )
=> ! [X0: iS] : ( X4 @ X0 ) )
& ! [X3: iS,X2: iS,X0: iS,X1: iS] :
( ( ( cP @ X0 @ X2 )
= ( cP @ X1 @ X3 ) )
=> ( ( X2 = X3 )
& ( X0 = X1 ) ) )
& ! [X0: iS,X1: iS] :
( ( cP @ X0 @ X1 )
!= c0 ) )
=> ! [X5: iS > iS > iS > $o] :
( ( ! [X6: iS,X8: iS,X7: iS] :
( ( ? [X12: iS,X10: iS,X9: iS,X13: iS,X11: iS,X14: iS] :
( ( X5 @ X9 @ X11 @ X13 )
& ( X5 @ X10 @ X12 @ X14 )
& ( ( cP @ X13 @ X14 )
= X8 )
& ( ( cP @ X11 @ X12 )
= X7 )
& ( ( cP @ X9 @ X10 )
= X6 ) )
| ( ( c0 = X6 )
& ( X7 = X8 ) )
| ( ( X6 = X8 )
& ( c0 = X7 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) )
& $true )
=> ( X5 @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_INCL_LEM5_pme) ).
thf(f447,plain,
( ( $false
= ( sK1
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_3 ),
inference(equality_resolution,[],[f293]) ).
thf(f293,plain,
( ! [X0: iS] :
( ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= X0 )
| ( $false
= ( sK1
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ X0 ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f292]) ).
thf(f292,plain,
( spl0_3
<=> ! [X0: iS] :
( ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= X0 )
| ( $false
= ( sK1
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ X0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f446,plain,
( spl0_5
| spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f445,f302,f295,f299]) ).
thf(f299,plain,
( spl0_5
<=> ! [X1: iS] :
( $true
= ( sK1 @ X1 @ X1 @ X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f302,plain,
( spl0_6
<=> ! [X2: iS] :
( ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ X2 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f445,plain,
( ! [X0: iS] :
( $true
= ( sK1 @ X0 @ X0 @ X0 ) )
| spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f443,f296]) ).
thf(f443,plain,
( ! [X0: iS] :
( ( $true
= ( sK1 @ X0 @ X0 @ X0 ) )
| ( $false
= ( sK1 @ c0 @ c0 @ c0 ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f442]) ).
thf(f442,plain,
( ! [X0: iS] :
( ( $false
= ( sK1 @ c0 @ c0 @ c0 ) )
| ( $true
= ( sK1 @ X0 @ X0 @ X0 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f441]) ).
thf(f441,plain,
( ! [X0: iS] :
( ( $true
= ( sK1
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK2
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) ) ) )
| ( $false
= ( sK1
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0 ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f440]) ).
thf(f440,plain,
( ! [X0: iS] :
( ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK2
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) ) ) )
| ( $false
= ( sK1
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0 ) )
| ( $true
= ( sK1
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0 ) ) )
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f438]) ).
thf(f438,plain,
( ! [X0: iS] :
( ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( $false
= ( sK1
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0 ) )
| ( $true
= ( sK1
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0
@ ( sK2
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) ) )
| ~ spl0_6 ),
inference(equality_resolution,[],[f429]) ).
thf(f429,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 ) @ Y0 ) ) ) )
| ( $true
= ( sK1 @ ( X1 @ X2 ) @ ( X0 @ X2 ) @ X2 ) )
| ( $false
= ( sK1 @ ( X1 @ c0 ) @ ( X0 @ c0 ) @ c0 ) )
| ( ( ^ [Y0: iS] : Y0 )
!= X1 )
| ( ( ^ [Y0: iS] : Y0 )
!= X0 )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( X0
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 ) @ Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f428]) ).
thf(f428,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( X0
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( ( ^ [Y0: iS] : ( X0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 )
= $false )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( $true
= ( ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X2 ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X1 @ Y0 ) ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f423]) ).
thf(f423,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( ^ [Y0: iS] : ( X0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( ( ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 )
= $false )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X1 @ Y0 ) ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= ( X0
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( $true = $false )
| ( $true
= ( ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 ) @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X2 ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f65,f415]) ).
thf(f415,plain,
( ( ( sK1
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) ) )
= $false )
| ~ spl0_6 ),
inference(equality_resolution,[],[f303]) ).
thf(f303,plain,
( ! [X2: iS] :
( ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= X2 )
| ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ X2 ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f302]) ).
thf(f65,plain,
! [X2: iS,X1: iS > $o] :
( ( $true
= ( X1 @ ( sK2 @ X1 ) ) )
| ( $false
= ( X1 @ c0 ) )
| ( $true
= ( X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f64]) ).
thf(f414,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f413]) ).
thf(f413,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f402]) ).
thf(f402,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f300,f192]) ).
thf(f192,plain,
( ( $false
= ( sK1 @ y @ y @ y ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f190]) ).
thf(f190,plain,
( spl0_1
<=> ( $false
= ( sK1 @ y @ y @ y ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f300,plain,
( ! [X1: iS] :
( $true
= ( sK1 @ X1 @ X1 @ X1 ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f299]) ).
thf(f362,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f361]) ).
thf(f361,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f325]) ).
thf(f325,plain,
( ( $true = $false )
| ( c0 != c0 )
| ~ spl0_4 ),
inference(superposition,[],[f113,f297]) ).
thf(f297,plain,
( ( $false
= ( sK1 @ c0 @ c0 @ c0 ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f295]) ).
thf(f113,plain,
! [X0: iS,X1: iS] :
( ( $true
= ( sK1 @ X0 @ c0 @ X1 ) )
| ( X0 != X1 ) ),
inference(equality_resolution,[],[f51]) ).
thf(f51,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( c0 != X1 )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( X2 != X3 ) ),
inference(equality_proxy_clausification,[],[f50]) ).
thf(f50,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $false
= ( c0 = X1 ) )
| ( X2 != X3 )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f49]) ).
thf(f49,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $false
= ( X3 = X2 ) )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( c0 = X1 ) ) ),
inference(binary_proxy_clausification,[],[f45]) ).
thf(f45,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $false
= ( ( c0 = X1 )
& ( X3 = X2 ) ) )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f24]) ).
thf(f24,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( ( ( c0 = X1 )
& ( X3 = X2 ) )
| ( ( X2 = X1 )
& ( c0 = X3 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f22,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( ( ( ( c0 = X1 )
& ( X3 = X2 ) )
| ( ( X2 = X1 )
& ( c0 = X3 ) )
| ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( ( cP @ Y3 @ Y4 )
= X3 )
& ( ( cP @ Y1 @ Y5 )
= X1 )
& ( ( cP @ Y2 @ Y0 )
= X2 )
& ( sK1 @ Y4 @ Y5 @ Y0 )
& ( sK1 @ Y3 @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
= $false )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f21]) ).
thf(f21,plain,
! [X2: iS,X3: iS,X1: iS] :
( $true
= ( ( ( ( c0 = X1 )
& ( X3 = X2 ) )
| ( ( X2 = X1 )
& ( c0 = X3 ) )
| ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( ( cP @ Y3 @ Y4 )
= X3 )
& ( ( cP @ Y1 @ Y5 )
= X1 )
& ( ( cP @ Y2 @ Y0 )
= X2 )
& ( sK1 @ Y4 @ Y5 @ Y0 )
& ( sK1 @ Y3 @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
=> ( sK1 @ X3 @ X1 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f20]) ).
thf(f20,plain,
! [X2: iS,X3: iS,X1: iS] :
( $true
= ( ^ [Y0: iS] :
( ( ( ( c0 = X1 )
& ( Y0 = X2 ) )
| ( ( X2 = X1 )
& ( c0 = Y0 ) )
| ( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ( ( cP @ Y4 @ Y5 )
= Y0 )
& ( ( cP @ Y2 @ Y6 )
= X1 )
& ( ( cP @ Y3 @ Y1 )
= X2 )
& ( sK1 @ Y5 @ Y6 @ Y1 )
& ( sK1 @ Y4 @ Y2 @ Y3 ) ) ) ) ) ) ) ) )
=> ( sK1 @ Y0 @ X1 @ X2 ) )
@ X3 ) ),
inference(pi_clausification,[],[f19]) ).
thf(f19,plain,
! [X2: iS,X1: iS] :
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( ( ( ( c0 = X1 )
& ( Y0 = X2 ) )
| ( ( X2 = X1 )
& ( c0 = Y0 ) )
| ( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ( ( cP @ Y4 @ Y5 )
= Y0 )
& ( ( cP @ Y2 @ Y6 )
= X1 )
& ( ( cP @ Y3 @ Y1 )
= X2 )
& ( sK1 @ Y5 @ Y6 @ Y1 )
& ( sK1 @ Y4 @ Y2 @ Y3 ) ) ) ) ) ) ) ) )
=> ( sK1 @ Y0 @ X1 @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f18]) ).
thf(f18,plain,
! [X2: iS,X1: iS] :
( $true
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( ( c0 = X1 )
& ( Y1 = Y0 ) )
| ( ( Y0 = X1 )
& ( c0 = Y1 ) )
| ( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ( ( cP @ Y5 @ Y6 )
= Y1 )
& ( ( cP @ Y3 @ Y7 )
= X1 )
& ( ( cP @ Y4 @ Y2 )
= Y0 )
& ( sK1 @ Y6 @ Y7 @ Y2 )
& ( sK1 @ Y5 @ Y3 @ Y4 ) ) ) ) ) ) ) ) )
=> ( sK1 @ Y1 @ X1 @ Y0 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f17]) ).
thf(f17,plain,
! [X1: iS] :
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( ( c0 = X1 )
& ( Y1 = Y0 ) )
| ( ( Y0 = X1 )
& ( c0 = Y1 ) )
| ( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ( ( cP @ Y5 @ Y6 )
= Y1 )
& ( ( cP @ Y3 @ Y7 )
= X1 )
& ( ( cP @ Y4 @ Y2 )
= Y0 )
& ( sK1 @ Y6 @ Y7 @ Y2 )
& ( sK1 @ Y5 @ Y3 @ Y4 ) ) ) ) ) ) ) ) )
=> ( sK1 @ Y1 @ X1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,plain,
! [X1: iS] :
( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( ( c0 = Y0 )
& ( Y2 = Y1 ) )
| ( ( Y1 = Y0 )
& ( c0 = Y2 ) )
| ( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ( ( cP @ Y6 @ Y7 )
= Y2 )
& ( ( cP @ Y4 @ Y8 )
= Y0 )
& ( ( cP @ Y5 @ Y3 )
= Y1 )
& ( sK1 @ Y7 @ Y8 @ Y3 )
& ( sK1 @ Y6 @ Y4 @ Y5 ) ) ) ) ) ) ) ) )
=> ( sK1 @ Y2 @ Y0 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f15]) ).
thf(f15,plain,
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( ( c0 = Y0 )
& ( Y2 = Y1 ) )
| ( ( Y1 = Y0 )
& ( c0 = Y2 ) )
| ( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ( ( cP @ Y6 @ Y7 )
= Y2 )
& ( ( cP @ Y4 @ Y8 )
= Y0 )
& ( ( cP @ Y5 @ Y3 )
= Y1 )
& ( sK1 @ Y7 @ Y8 @ Y3 )
& ( sK1 @ Y6 @ Y4 @ Y5 ) ) ) ) ) ) ) ) )
=> ( sK1 @ Y2 @ Y0 @ Y1 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( $false
= ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( ( c0 = Y0 )
& ( Y2 = Y1 ) )
| ( ( Y1 = Y0 )
& ( c0 = Y2 ) )
| ( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ( ( cP @ Y6 @ Y7 )
= Y2 )
& ( ( cP @ Y4 @ Y8 )
= Y0 )
& ( ( cP @ Y5 @ Y3 )
= Y1 )
& ( sK1 @ Y7 @ Y8 @ Y3 )
& ( sK1 @ Y6 @ Y4 @ Y5 ) ) ) ) ) ) ) ) )
=> ( sK1 @ Y2 @ Y0 @ Y1 ) ) ) ) )
=> ( sK1 @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ),
inference(beta_eta_normalization,[],[f12]) ).
thf(f12,plain,
( $false
= ( ^ [Y0: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( c0 = Y1 )
& ( Y3 = Y2 ) )
| ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y7 @ Y8 )
= Y3 )
& ( ( cP @ Y5 @ Y9 )
= Y1 )
& ( ( cP @ Y6 @ Y4 )
= Y2 )
& ( Y0 @ Y8 @ Y9 @ Y4 )
& ( Y0 @ Y7 @ Y5 @ Y6 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) )
@ sK1 ) ),
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] :
( ( ( ( c0 = Y1 )
& ( Y3 = Y2 ) )
| ( ( Y2 = Y1 )
& ( c0 = Y3 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y7 @ Y8 )
= Y3 )
& ( ( cP @ Y5 @ Y9 )
= Y1 )
& ( ( cP @ Y6 @ Y4 )
= Y2 )
& ( Y0 @ Y8 @ Y9 @ Y4 )
& ( Y0 @ Y7 @ Y5 @ Y6 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f304,plain,
( spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f289,f302,f299,f295,f292]) ).
thf(f289,plain,
! [X2: iS,X0: iS,X1: iS] :
( ( $false
= ( sK1 @ c0 @ c0 @ c0 ) )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= X0 )
| ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ X2 ) )
| ( $true
= ( sK1 @ X1 @ X1 @ X1 ) )
| ( $false
= ( sK1
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
@ X0 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ Y0 @ Y0 @ Y0 ) )
!= X2 ) ),
inference(beta_eta_normalization,[],[f287]) ).
thf(f287,plain,
! [X2: iS,X0: iS,X1: iS] :
( ( ( sK1
@ ( sK3
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
@ ( sK3
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
@ X0 )
= $false )
| ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
@ X2 ) )
| ( $true
= ( sK1
@ ( ^ [Y0: iS] : Y0
@ X1 )
@ X1
@ X1 ) )
| ( $false
= ( sK1
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0
@ c0 ) )
| ( ( sK2
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
!= X2 )
| ( ( sK3
@ ^ [Y0: iS] :
( sK1
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ Y0 ) )
!= X0 ) ),
inference(equality_resolution,[],[f286]) ).
thf(f286,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS > iS,X4: iS,X5: iS] :
( ( ( cP @ X0 @ X4 )
!= ( X1
@ ( cP
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) ) ) ) )
| ( ( sK1 @ ( X1 @ c0 ) @ c0 @ c0 )
= $false )
| ( $false
= ( sK1 @ X0
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
@ X2 ) )
| ( $true
= ( sK1 @ ( X1 @ X3 ) @ X3 @ X3 ) )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
!= X2 )
| ( ( sK1 @ X4
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
@ X5 )
= $false )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X1 @ Y0 ) @ Y0 @ Y0 ) )
!= X5 ) ),
inference(beta_eta_normalization,[],[f283]) ).
thf(f283,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS > iS,X4: iS,X5: iS] :
( ( $false
= ( sK1 @ X0
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
@ X2 ) )
| ( ( cP @ X0 @ X4 )
!= ( X1
@ ( cP
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) ) ) ) )
| ( $false
= ( sK1 @ X4
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
@ X5 ) )
| ( $false
= ( sK1 @ ( X1 @ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0 ) )
| ( ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
!= X5 )
| ( $true
= ( sK1 @ ( X1 @ X3 )
@ ( ^ [Y0: iS] : Y0
@ X3 )
@ X3 ) )
| ( ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
!= X2 ) ),
inference(equality_resolution,[],[f180]) ).
thf(f180,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
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) ) ) ) )
| ( ( sK1 @ X4 @ X0 @ X7 )
= $false )
| ( ( sK3
@ ^ [Y0: iS] : ( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) )
!= X7 )
| ( $true
= ( sK1 @ ( X3 @ X8 ) @ ( X2 @ X8 ) @ X8 ) )
| ( ( X3
@ ( cP
@ ( sK3
@ ^ [Y0: iS] : ( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) ) ) )
!= ( cP @ X4 @ X5 ) )
| ( ( sK1 @ X5 @ X1 @ X6 )
= $false )
| ( ( sK2
@ ^ [Y0: iS] : ( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) @ Y0 ) )
!= X6 )
| ( ( sK1 @ ( X3 @ c0 ) @ ( X2 @ c0 ) @ c0 )
= $false ) ),
inference(beta_eta_normalization,[],[f179]) ).
thf(f179,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
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) ) )
| ( ( sK1 @ X4 @ X0 @ X7 )
= $false )
| ( ( X3
@ ( cP
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
!= ( cP @ X4 @ X5 ) )
| ( ( sK1 @ X5 @ X1 @ X6 )
= $false )
| ( ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
!= X7 )
| ( $false
= ( ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 ) )
| ( $true
= ( ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X8 ) )
| ( ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
!= X6 ) ),
inference(trivial_inequality_removal,[],[f174]) ).
thf(f174,plain,
! [X2: iS > iS,X3: iS > iS,X0: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
!= X6 )
| ( ( sK1 @ X5 @ X1 @ X6 )
= $false )
| ( ( cP @ X0 @ X1 )
!= ( X2
@ ( cP
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) ) )
| ( $true
= ( ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X8 ) )
| ( $true = $false )
| ( ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
!= X7 )
| ( ( X3
@ ( cP
@ ( sK3
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK2
@ ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
!= ( cP @ X4 @ X5 ) )
| ( $false
= ( ^ [Y0: iS] :
( sK1 @ ( X3 @ Y0 ) @ ( X2 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 ) )
| ( ( sK1 @ X4 @ X0 @ X7 )
= $false ) ),
inference(constrained_superposition,[],[f171,f63]) ).
thf(f63,plain,
! [X2: iS,X1: iS > $o] :
( ( ( X1 @ ( cP @ ( sK3 @ X1 ) @ ( sK2 @ X1 ) ) )
= $false )
| ( $false
= ( X1 @ c0 ) )
| ( $true
= ( X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f62]) ).
thf(f171,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ ( cP @ X0 @ X3 ) @ ( cP @ X1 @ X4 ) @ ( cP @ X2 @ X5 ) ) )
| ( $false
= ( sK1 @ X3 @ X4 @ X5 ) )
| ( $false
= ( sK1 @ X0 @ X1 @ X2 ) ) ),
inference(equality_resolution,[],[f170]) ).
thf(f170,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( ( ( cP @ X0 @ X1 )
!= X2 )
| ( $false
= ( sK1 @ X5 @ X0 @ X6 ) )
| ( $true
= ( sK1 @ ( cP @ X5 @ X3 ) @ X2 @ ( cP @ X6 @ X4 ) ) )
| ( $false
= ( sK1 @ X3 @ X1 @ X4 ) ) ),
inference(equality_resolution,[],[f169]) ).
thf(f169,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( cP @ X2 @ X6 )
!= X5 )
| ( ( cP @ X1 @ X7 )
!= X4 )
| ( $false
= ( sK1 @ X3 @ X7 @ X6 ) )
| ( $false
= ( sK1 @ X0 @ X1 @ X2 ) )
| ( ( sK1 @ ( cP @ X0 @ X3 ) @ X4 @ X5 )
= $true ) ),
inference(equality_resolution,[],[f43]) ).
thf(f43,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( ( cP @ X7 @ X8 )
!= X3 )
| ( $false
= ( sK1 @ X7 @ X5 @ X6 ) )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( ( cP @ X6 @ X4 )
!= X2 )
| ( $false
= ( sK1 @ X8 @ X9 @ X4 ) )
| ( ( cP @ X5 @ X9 )
!= X1 ) ),
inference(equality_proxy_clausification,[],[f42]) ).
thf(f42,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( ( cP @ X6 @ X4 )
!= X2 )
| ( $false
= ( sK1 @ X7 @ X5 @ X6 ) )
| ( $false
= ( sK1 @ X8 @ X9 @ X4 ) )
| ( ( cP @ X7 @ X8 )
!= X3 )
| ( $false
= ( ( cP @ X5 @ X9 )
= X1 ) ) ),
inference(equality_proxy_clausification,[],[f41]) ).
thf(f41,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( ( cP @ X7 @ X8 )
= X3 ) )
| ( ( cP @ X6 @ X4 )
!= X2 )
| ( $false
= ( sK1 @ X7 @ X5 @ X6 ) )
| ( $false
= ( sK1 @ X8 @ X9 @ X4 ) )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( ( cP @ X5 @ X9 )
= X1 ) ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f40,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( sK1 @ X7 @ X5 @ X6 ) )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( ( cP @ X6 @ X4 )
= X2 ) )
| ( $false
= ( ( cP @ X7 @ X8 )
= X3 ) )
| ( $false
= ( ( cP @ X5 @ X9 )
= X1 ) )
| ( $false
= ( sK1 @ X8 @ X9 @ X4 ) ) ),
inference(binary_proxy_clausification,[],[f39]) ).
thf(f39,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( ( ( cP @ X7 @ X8 )
= X3 )
& ( ( cP @ X5 @ X9 )
= X1 ) ) )
| ( $false
= ( sK1 @ X8 @ X9 @ X4 ) )
| ( $false
= ( ( cP @ X6 @ X4 )
= X2 ) )
| ( $false
= ( sK1 @ X7 @ X5 @ X6 ) ) ),
inference(binary_proxy_clausification,[],[f38]) ).
thf(f38,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( ( ( ( cP @ X7 @ X8 )
= X3 )
& ( ( cP @ X5 @ X9 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 ) )
= $false )
| ( $false
= ( sK1 @ X8 @ X9 @ X4 ) )
| ( $false
= ( sK1 @ X7 @ X5 @ X6 ) ) ),
inference(binary_proxy_clausification,[],[f37]) ).
thf(f37,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( sK1 @ X7 @ X5 @ X6 ) )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( ( ( cP @ X7 @ X8 )
= X3 )
& ( ( cP @ X5 @ X9 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 )
& ( sK1 @ X8 @ X9 @ X4 ) ) ) ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f36,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( ( ( ( cP @ X7 @ X8 )
= X3 )
& ( ( cP @ X5 @ X9 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 )
& ( sK1 @ X8 @ X9 @ X4 )
& ( sK1 @ X7 @ X5 @ X6 ) )
= $false ) ),
inference(beta_eta_normalization,[],[f35]) ).
thf(f35,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( ^ [Y0: iS] :
( ( ( cP @ X7 @ X8 )
= X3 )
& ( ( cP @ X5 @ Y0 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 )
& ( sK1 @ X8 @ Y0 @ X4 )
& ( sK1 @ X7 @ X5 @ X6 ) )
@ X9 ) ) ),
inference(pi_clausification,[],[f34]) ).
thf(f34,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( ?? @ iS
@ ^ [Y0: iS] :
( ( ( cP @ X7 @ X8 )
= X3 )
& ( ( cP @ X5 @ Y0 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 )
& ( sK1 @ X8 @ Y0 @ X4 )
& ( sK1 @ X7 @ X5 @ X6 ) ) ) ) ),
inference(beta_eta_normalization,[],[f33]) ).
thf(f33,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ( ( cP @ X7 @ Y0 )
= X3 )
& ( ( cP @ X5 @ Y1 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 )
& ( sK1 @ Y0 @ Y1 @ X4 )
& ( sK1 @ X7 @ X5 @ X6 ) ) )
@ X8 ) ) ),
inference(pi_clausification,[],[f32]) ).
thf(f32,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ( ( cP @ X7 @ Y0 )
= X3 )
& ( ( cP @ X5 @ Y1 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 )
& ( sK1 @ Y0 @ Y1 @ X4 )
& ( sK1 @ X7 @ X5 @ X6 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f31]) ).
thf(f31,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ( ( cP @ Y0 @ Y1 )
= X3 )
& ( ( cP @ X5 @ Y2 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 )
& ( sK1 @ Y1 @ Y2 @ X4 )
& ( sK1 @ Y0 @ X5 @ X6 ) ) ) )
@ X7 ) ) ),
inference(pi_clausification,[],[f30]) ).
thf(f30,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ( ( cP @ Y0 @ Y1 )
= X3 )
& ( ( cP @ X5 @ Y2 )
= X1 )
& ( ( cP @ X6 @ X4 )
= X2 )
& ( sK1 @ Y1 @ Y2 @ X4 )
& ( sK1 @ Y0 @ X5 @ X6 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f29]) ).
thf(f29,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( ( ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= X3 )
& ( ( cP @ X5 @ Y3 )
= X1 )
& ( ( cP @ Y0 @ X4 )
= X2 )
& ( sK1 @ Y2 @ Y3 @ X4 )
& ( sK1 @ Y1 @ X5 @ Y0 ) ) ) ) )
@ X6 )
= $false )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) ) ),
inference(pi_clausification,[],[f28]) ).
thf(f28,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS,X5: iS] :
( ( $false
= ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y1 @ Y2 )
= X3 )
& ( ( cP @ X5 @ Y3 )
= X1 )
& ( ( cP @ Y0 @ X4 )
= X2 )
& ( sK1 @ Y2 @ Y3 @ X4 )
& ( sK1 @ Y1 @ X5 @ Y0 ) ) ) ) ) ) )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f27]) ).
thf(f27,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS,X5: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ( ( cP @ Y2 @ Y3 )
= X3 )
& ( ( cP @ Y0 @ Y4 )
= X1 )
& ( ( cP @ Y1 @ X4 )
= X2 )
& ( sK1 @ Y3 @ Y4 @ X4 )
& ( sK1 @ Y2 @ Y0 @ Y1 ) ) ) ) ) )
@ X5 ) ) ),
inference(pi_clausification,[],[f26]) ).
thf(f26,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS] :
( ( $false
= ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ( ( cP @ Y2 @ Y3 )
= X3 )
& ( ( cP @ Y0 @ Y4 )
= X1 )
& ( ( cP @ Y1 @ X4 )
= X2 )
& ( sK1 @ Y3 @ Y4 @ X4 )
& ( sK1 @ Y2 @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f25]) ).
thf(f25,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( ( cP @ Y3 @ Y4 )
= X3 )
& ( ( cP @ Y1 @ Y5 )
= X1 )
& ( ( cP @ Y2 @ Y0 )
= X2 )
& ( sK1 @ Y4 @ Y5 @ Y0 )
& ( sK1 @ Y3 @ Y1 @ Y2 ) ) ) ) ) ) )
@ X4 ) ) ),
inference(pi_clausification,[],[f23]) ).
thf(f23,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $false
= ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( ( cP @ Y3 @ Y4 )
= X3 )
& ( ( cP @ Y1 @ Y5 )
= X1 )
& ( ( cP @ Y2 @ Y0 )
= X2 )
& ( sK1 @ Y4 @ Y5 @ Y0 )
& ( sK1 @ Y3 @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f211,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f210]) ).
thf(f210,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f203]) ).
thf(f203,plain,
( ( $true = $false )
| ( x != x )
| ~ spl0_2 ),
inference(superposition,[],[f94,f196]) ).
thf(f196,plain,
( ( $false
= ( sK1 @ c0 @ x @ x ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f194]) ).
thf(f194,plain,
( spl0_2
<=> ( $false
= ( sK1 @ c0 @ x @ x ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f94,plain,
! [X0: iS,X1: iS] :
( ( $true
= ( sK1 @ c0 @ X0 @ X1 ) )
| ( X0 != X1 ) ),
inference(equality_resolution,[],[f48]) ).
thf(f48,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( c0 != X3 )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( X1 != X2 ) ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f47,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( $false
= ( c0 = X3 ) )
| ( X1 != X2 ) ),
inference(equality_proxy_clausification,[],[f46]) ).
thf(f46,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $false
= ( X2 = X1 ) )
| ( $false
= ( c0 = X3 ) )
| ( $true
= ( sK1 @ X3 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f44]) ).
thf(f44,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK1 @ X3 @ X1 @ X2 ) )
| ( ( ( X2 = X1 )
& ( c0 = X3 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f24]) ).
thf(f198,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f181,f194,f190]) ).
thf(f181,plain,
( ( $false
= ( sK1 @ c0 @ x @ x ) )
| ( $false
= ( sK1 @ y @ y @ y ) ) ),
inference(trivial_inequality_removal,[],[f173]) ).
thf(f173,plain,
( ( $true = $false )
| ( $false
= ( sK1 @ y @ y @ y ) )
| ( $false
= ( sK1 @ c0 @ x @ x ) ) ),
inference(superposition,[],[f171,f14]) ).
thf(f14,plain,
( $false
= ( sK1 @ ( cP @ c0 @ y ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ),
inference(binary_proxy_clausification,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEV203^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 18:54:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 % (31237)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.38 % (31238)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)
% 0.14/0.38 % (31240)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (31241)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)
% 0.14/0.38 % (31242)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)
% 0.14/0.38 % (31239)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)
% 0.14/0.38 % (31243)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.38 % (31244)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)
% 0.14/0.38 % (31240)Instruction limit reached!
% 0.14/0.38 % (31240)------------------------------
% 0.14/0.38 % (31240)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (31241)Instruction limit reached!
% 0.14/0.38 % (31241)------------------------------
% 0.14/0.38 % (31241)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (31241)Termination reason: Unknown
% 0.14/0.38 % (31241)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (31241)Memory used [KB]: 1023
% 0.14/0.38 % (31241)Time elapsed: 0.004 s
% 0.14/0.38 % (31241)Instructions burned: 3 (million)
% 0.14/0.38 % (31241)------------------------------
% 0.14/0.38 % (31241)------------------------------
% 0.14/0.38 % (31240)Termination reason: Unknown
% 0.14/0.38 % (31240)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (31240)Memory used [KB]: 1023
% 0.14/0.38 % (31240)Time elapsed: 0.004 s
% 0.14/0.38 % (31240)Instructions burned: 3 (million)
% 0.14/0.38 % (31240)------------------------------
% 0.14/0.38 % (31240)------------------------------
% 0.14/0.38 % (31244)Instruction limit reached!
% 0.14/0.38 % (31244)------------------------------
% 0.14/0.38 % (31244)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (31244)Termination reason: Unknown
% 0.14/0.38 % (31244)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (31244)Memory used [KB]: 1023
% 0.14/0.38 % (31244)Time elapsed: 0.004 s
% 0.14/0.38 % (31244)Instructions burned: 3 (million)
% 0.14/0.38 % (31244)------------------------------
% 0.14/0.38 % (31244)------------------------------
% 0.14/0.38 % (31238)Instruction limit reached!
% 0.14/0.38 % (31238)------------------------------
% 0.14/0.38 % (31238)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (31238)Termination reason: Unknown
% 0.14/0.38 % (31238)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (31238)Memory used [KB]: 5500
% 0.14/0.38 % (31238)Time elapsed: 0.005 s
% 0.14/0.38 % (31238)Instructions burned: 4 (million)
% 0.14/0.38 % (31238)------------------------------
% 0.14/0.38 % (31238)------------------------------
% 0.14/0.39 % (31243)Instruction limit reached!
% 0.14/0.39 % (31243)------------------------------
% 0.14/0.39 % (31243)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (31243)Termination reason: Unknown
% 0.14/0.39 % (31243)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (31243)Memory used [KB]: 5628
% 0.14/0.39 % (31243)Time elapsed: 0.014 s
% 0.14/0.39 % (31243)Instructions burned: 18 (million)
% 0.14/0.39 % (31243)------------------------------
% 0.14/0.39 % (31243)------------------------------
% 0.14/0.39 % (31251)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)
% 0.14/0.39 % (31252)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)
% 0.14/0.39 % (31253)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)
% 0.14/0.39 % (31254)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)
% 0.14/0.39 % (31239)Instruction limit reached!
% 0.14/0.39 % (31239)------------------------------
% 0.14/0.39 % (31239)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (31239)Termination reason: Unknown
% 0.14/0.39 % (31239)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (31239)Memory used [KB]: 5628
% 0.14/0.39 % (31239)Time elapsed: 0.020 s
% 0.14/0.39 % (31239)Instructions burned: 28 (million)
% 0.14/0.39 % (31239)------------------------------
% 0.14/0.39 % (31239)------------------------------
% 0.14/0.39 % (31253)Instruction limit reached!
% 0.14/0.39 % (31253)------------------------------
% 0.14/0.39 % (31253)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (31253)Termination reason: Unknown
% 0.14/0.39 % (31253)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (31253)Memory used [KB]: 5500
% 0.14/0.39 % (31253)Time elapsed: 0.004 s
% 0.14/0.39 % (31253)Instructions burned: 3 (million)
% 0.14/0.39 % (31253)------------------------------
% 0.14/0.39 % (31253)------------------------------
% 0.14/0.40 % (31252)Instruction limit reached!
% 0.14/0.40 % (31252)------------------------------
% 0.14/0.40 % (31252)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (31252)Termination reason: Unknown
% 0.14/0.40 % (31252)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (31252)Memory used [KB]: 5628
% 0.14/0.40 % (31252)Time elapsed: 0.034 s
% 0.14/0.40 % (31252)Instructions burned: 15 (million)
% 0.14/0.40 % (31252)------------------------------
% 0.14/0.40 % (31252)------------------------------
% 0.14/0.40 % (31259)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.41 % (31259)Instruction limit reached!
% 0.14/0.41 % (31259)------------------------------
% 0.14/0.41 % (31259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (31259)Termination reason: Unknown
% 0.14/0.41 % (31259)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (31259)Memory used [KB]: 1023
% 0.14/0.41 % (31259)Time elapsed: 0.007 s
% 0.14/0.41 % (31259)Instructions burned: 7 (million)
% 0.14/0.41 % (31259)------------------------------
% 0.14/0.41 % (31259)------------------------------
% 0.14/0.41 % (31263)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)
% 0.14/0.41 % (31262)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.41 % (31263)Instruction limit reached!
% 0.14/0.41 % (31263)------------------------------
% 0.14/0.41 % (31263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (31263)Termination reason: Unknown
% 0.14/0.41 % (31263)Termination phase: Twee Goal Transformation
% 0.14/0.41
% 0.14/0.41 % (31263)Memory used [KB]: 1023
% 0.14/0.41 % (31263)Time elapsed: 0.004 s
% 0.14/0.41 % (31263)Instructions burned: 3 (million)
% 0.14/0.41 % (31263)------------------------------
% 0.14/0.41 % (31263)------------------------------
% 0.14/0.41 % (31251)Instruction limit reached!
% 0.14/0.41 % (31251)------------------------------
% 0.14/0.41 % (31251)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (31251)Termination reason: Unknown
% 0.14/0.41 % (31251)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (31251)Memory used [KB]: 5756
% 0.14/0.41 % (31251)Time elapsed: 0.023 s
% 0.14/0.41 % (31251)Instructions burned: 37 (million)
% 0.14/0.41 % (31251)------------------------------
% 0.14/0.41 % (31251)------------------------------
% 0.21/0.42 % (31266)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)
% 0.21/0.42 % (31266)Instruction limit reached!
% 0.21/0.42 % (31266)------------------------------
% 0.21/0.42 % (31266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (31266)Termination reason: Unknown
% 0.21/0.42 % (31266)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (31266)Memory used [KB]: 1023
% 0.21/0.42 % (31266)Time elapsed: 0.004 s
% 0.21/0.42 % (31266)Instructions burned: 4 (million)
% 0.21/0.42 % (31266)------------------------------
% 0.21/0.42 % (31266)------------------------------
% 0.21/0.42 % (31262)Instruction limit reached!
% 0.21/0.42 % (31262)------------------------------
% 0.21/0.42 % (31262)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (31262)Termination reason: Unknown
% 0.21/0.42 % (31262)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (31262)Memory used [KB]: 5756
% 0.21/0.42 % (31262)Time elapsed: 0.038 s
% 0.21/0.42 % (31262)Instructions burned: 16 (million)
% 0.21/0.42 % (31262)------------------------------
% 0.21/0.42 % (31262)------------------------------
% 0.21/0.42 % (31269)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)
% 0.21/0.43 % (31271)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)
% 0.21/0.43 % (31269)Instruction limit reached!
% 0.21/0.43 % (31269)------------------------------
% 0.21/0.43 % (31269)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (31269)Termination reason: Unknown
% 0.21/0.43 % (31269)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (31269)Memory used [KB]: 5500
% 0.21/0.43 % (31269)Time elapsed: 0.007 s
% 0.21/0.43 % (31269)Instructions burned: 7 (million)
% 0.21/0.43 % (31269)------------------------------
% 0.21/0.43 % (31269)------------------------------
% 0.21/0.43 % (31271)Instruction limit reached!
% 0.21/0.43 % (31271)------------------------------
% 0.21/0.43 % (31271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (31271)Termination reason: Unknown
% 0.21/0.43 % (31271)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (31271)Memory used [KB]: 5500
% 0.21/0.43 % (31271)Time elapsed: 0.004 s
% 0.21/0.43 % (31271)Instructions burned: 4 (million)
% 0.21/0.43 % (31271)------------------------------
% 0.21/0.43 % (31271)------------------------------
% 0.21/0.43 % (31273)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.43 % (31276)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)
% 0.21/0.43 % (31273)Instruction limit reached!
% 0.21/0.43 % (31273)------------------------------
% 0.21/0.43 % (31273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (31273)Termination reason: Unknown
% 0.21/0.43 % (31273)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (31273)Memory used [KB]: 5500
% 0.21/0.43 % (31273)Time elapsed: 0.005 s
% 0.21/0.43 % (31273)Instructions burned: 4 (million)
% 0.21/0.43 % (31273)------------------------------
% 0.21/0.43 % (31273)------------------------------
% 0.21/0.43 % (31276)Refutation not found, incomplete strategy
% 0.21/0.43 % (31276)------------------------------
% 0.21/0.43 % (31276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (31276)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (31276)Memory used [KB]: 5500
% 0.21/0.43 % (31276)Time elapsed: 0.005 s
% 0.21/0.43 % (31276)Instructions burned: 8 (million)
% 0.21/0.43 % (31276)------------------------------
% 0.21/0.43 % (31276)------------------------------
% 0.21/0.44 % (31279)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.44 % (31280)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (31281)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)
% 0.21/0.44 % (31283)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.45 % (31283)Instruction limit reached!
% 0.21/0.45 % (31283)------------------------------
% 0.21/0.45 % (31283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (31283)Termination reason: Unknown
% 0.21/0.45 % (31283)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (31283)Memory used [KB]: 5500
% 0.21/0.45 % (31283)Time elapsed: 0.003 s
% 0.21/0.45 % (31283)Instructions burned: 6 (million)
% 0.21/0.45 % (31283)------------------------------
% 0.21/0.45 % (31283)------------------------------
% 0.21/0.45 % (31280)Instruction limit reached!
% 0.21/0.45 % (31280)------------------------------
% 0.21/0.45 % (31280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (31280)Termination reason: Unknown
% 0.21/0.45 % (31280)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (31280)Memory used [KB]: 5500
% 0.21/0.45 % (31280)Time elapsed: 0.006 s
% 0.21/0.45 % (31280)Instructions burned: 6 (million)
% 0.21/0.45 % (31280)------------------------------
% 0.21/0.45 % (31280)------------------------------
% 0.21/0.45 % (31282)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)
% 0.21/0.45 % (31284)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)
% 0.21/0.46 % (31284)Instruction limit reached!
% 0.21/0.46 % (31284)------------------------------
% 0.21/0.46 % (31284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (31284)Termination reason: Unknown
% 0.21/0.46 % (31284)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (31284)Memory used [KB]: 5500
% 0.21/0.46 % (31284)Time elapsed: 0.003 s
% 0.21/0.46 % (31284)Instructions burned: 6 (million)
% 0.21/0.46 % (31284)------------------------------
% 0.21/0.46 % (31284)------------------------------
% 0.21/0.46 % (31282)Instruction limit reached!
% 0.21/0.46 % (31282)------------------------------
% 0.21/0.46 % (31282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (31282)Termination reason: Unknown
% 0.21/0.46 % (31282)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (31282)Memory used [KB]: 5628
% 0.21/0.46 % (31282)Time elapsed: 0.015 s
% 0.21/0.46 % (31282)Instructions burned: 21 (million)
% 0.21/0.46 % (31282)------------------------------
% 0.21/0.46 % (31282)------------------------------
% 0.21/0.46 % (31285)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.46 % (31286)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)
% 0.21/0.47 % (31287)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)
% 0.21/0.48 % (31237)Instruction limit reached!
% 0.21/0.48 % (31237)------------------------------
% 0.21/0.48 % (31237)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (31237)Termination reason: Unknown
% 0.21/0.48 % (31237)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (31237)Memory used [KB]: 6396
% 0.21/0.48 % (31237)Time elapsed: 0.103 s
% 0.21/0.48 % (31237)Instructions burned: 185 (million)
% 0.21/0.48 % (31237)------------------------------
% 0.21/0.48 % (31237)------------------------------
% 0.21/0.48 % (31287)Instruction limit reached!
% 0.21/0.48 % (31287)------------------------------
% 0.21/0.48 % (31287)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (31287)Termination reason: Unknown
% 0.21/0.48 % (31287)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (31287)Memory used [KB]: 5628
% 0.21/0.48 % (31287)Time elapsed: 0.011 s
% 0.21/0.48 % (31287)Instructions burned: 20 (million)
% 0.21/0.48 % (31287)------------------------------
% 0.21/0.48 % (31287)------------------------------
% 0.21/0.49 % (31295)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.21/0.49 % (31298)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.50 % (31298)Instruction limit reached!
% 0.21/0.50 % (31298)------------------------------
% 0.21/0.50 % (31298)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (31298)Termination reason: Unknown
% 0.21/0.50 % (31298)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (31298)Memory used [KB]: 5628
% 0.21/0.50 % (31298)Time elapsed: 0.009 s
% 0.21/0.50 % (31298)Instructions burned: 19 (million)
% 0.21/0.50 % (31298)------------------------------
% 0.21/0.50 % (31298)------------------------------
% 0.21/0.51 % (31304)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.51 % (31242)Instruction limit reached!
% 0.21/0.51 % (31242)------------------------------
% 0.21/0.51 % (31242)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (31242)Termination reason: Unknown
% 0.21/0.51 % (31242)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (31242)Memory used [KB]: 6140
% 0.21/0.51 % (31242)Time elapsed: 0.135 s
% 0.21/0.51 % (31242)Instructions burned: 277 (million)
% 0.21/0.51 % (31242)------------------------------
% 0.21/0.51 % (31242)------------------------------
% 0.21/0.51 % (31304)Instruction limit reached!
% 0.21/0.51 % (31304)------------------------------
% 0.21/0.51 % (31304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (31304)Termination reason: Unknown
% 0.21/0.51 % (31304)Termination phase: Equality resolution with deletion
% 0.21/0.51
% 0.21/0.51 % (31304)Memory used [KB]: 1023
% 0.21/0.51 % (31304)Time elapsed: 0.002 s
% 0.21/0.51 % (31304)Instructions burned: 3 (million)
% 0.21/0.51 % (31304)------------------------------
% 0.21/0.51 % (31304)------------------------------
% 0.21/0.52 % (31307)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.52 % (31308)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)
% 0.21/0.52 % (31286)First to succeed.
% 0.21/0.53 % (31286)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (31286)------------------------------
% 0.21/0.53 % (31286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53 % (31286)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (31286)Memory used [KB]: 6396
% 0.21/0.53 % (31286)Time elapsed: 0.062 s
% 0.21/0.53 % (31286)Instructions burned: 167 (million)
% 0.21/0.53 % (31286)------------------------------
% 0.21/0.53 % (31286)------------------------------
% 0.21/0.53 % (31233)Success in time 0.162 s
% 0.21/0.53 % Vampire---4.8 exiting
%------------------------------------------------------------------------------