TSTP Solution File: SEV204^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV204^5 : 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 : n019.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 04:12:22 EDT 2024
% Result : Theorem 1.39s 0.56s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 17
% Syntax : Number of formulae : 134 ( 24 unt; 10 typ; 0 def)
% Number of atoms : 1397 ( 549 equ; 0 cnn)
% Maximal formula atoms : 12 ( 11 avg)
% Number of connectives : 3449 ( 137 ~; 280 |; 247 &;2437 @)
% ( 6 <=>; 79 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 111 ( 111 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 14 usr; 13 con; 0-3 aty)
% ( 131 !!; 132 ??; 0 @@+; 0 @@-)
% Number of variables : 863 ( 494 ^ 350 !; 18 ?; 863 :)
% ( 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 > $o ) > iS ).
thf(func_def_28,type,
sK2: ( iS > $o ) > iS ).
thf(func_def_29,type,
sK3: iS > iS > iS > $o ).
thf(func_def_30,type,
ph4:
!>[X0: $tType] : X0 ).
thf(f450,plain,
$false,
inference(avatar_sat_refutation,[],[f198,f215,f304,f333,f352,f383,f449]) ).
thf(f449,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f448]) ).
thf(f448,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f390]) ).
thf(f390,plain,
( ( c0 != c0 )
| ( $false = $true )
| ~ spl0_3 ),
inference(superposition,[],[f294,f97]) ).
thf(f97,plain,
! [X0: iS,X1: iS] :
( ( ( sK3 @ X0 @ c0 @ X1 )
= $true )
| ( X0 != X1 ) ),
inference(equality_resolution,[],[f89]) ).
thf(f89,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( c0 != X3 )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( X1 != X2 ) ),
inference(equality_proxy_clausification,[],[f88]) ).
thf(f88,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( c0 != X3 )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( $false
= ( X2 = X1 ) ) ),
inference(equality_proxy_clausification,[],[f87]) ).
thf(f87,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( ( c0 = X3 )
= $false )
| ( $false
= ( X2 = X1 ) ) ),
inference(binary_proxy_clausification,[],[f83]) ).
thf(f83,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ( c0 = X3 )
& ( X2 = X1 ) ) ) ),
inference(binary_proxy_clausification,[],[f62]) ).
thf(f62,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $false
= ( ( ( c0 = X3 )
& ( X2 = X1 ) )
| ( ( X3 = X2 )
& ( c0 = X1 ) ) ) )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f60]) ).
thf(f60,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ( ( c0 = X3 )
& ( X2 = X1 ) )
| ( ( X3 = X2 )
& ( c0 = X1 ) )
| ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( ( cP @ Y1 @ Y5 )
= X2 )
& ( sK3 @ Y2 @ Y3 @ Y1 )
& ( sK3 @ Y0 @ Y4 @ Y5 )
& ( ( cP @ Y2 @ Y0 )
= X1 )
& ( ( cP @ Y3 @ Y4 )
= X3 ) ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f59]) ).
thf(f59,plain,
! [X2: iS,X3: iS,X1: iS] :
( $true
= ( ( ( ( c0 = X3 )
& ( X2 = X1 ) )
| ( ( X3 = X2 )
& ( c0 = X1 ) )
| ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( ( cP @ Y1 @ Y5 )
= X2 )
& ( sK3 @ Y2 @ Y3 @ Y1 )
& ( sK3 @ Y0 @ Y4 @ Y5 )
& ( ( cP @ Y2 @ Y0 )
= X1 )
& ( ( cP @ Y3 @ Y4 )
= X3 ) ) ) ) ) ) ) ) )
=> ( sK3 @ X1 @ X3 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f58]) ).
thf(f58,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( ^ [Y0: iS] :
( ( ( ( c0 = Y0 )
& ( X2 = X1 ) )
| ( ( Y0 = X2 )
& ( c0 = X1 ) )
| ( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ( ( cP @ Y2 @ Y6 )
= X2 )
& ( sK3 @ Y3 @ Y4 @ Y2 )
& ( sK3 @ Y1 @ Y5 @ Y6 )
& ( ( cP @ Y3 @ Y1 )
= X1 )
& ( ( cP @ Y4 @ Y5 )
= Y0 ) ) ) ) ) ) ) ) )
=> ( sK3 @ X1 @ Y0 @ X2 ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f57]) ).
thf(f57,plain,
! [X2: iS,X1: iS] :
( ( !! @ iS
@ ^ [Y0: iS] :
( ( ( ( c0 = Y0 )
& ( X2 = X1 ) )
| ( ( Y0 = X2 )
& ( c0 = X1 ) )
| ( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ( ( cP @ Y2 @ Y6 )
= X2 )
& ( sK3 @ Y3 @ Y4 @ Y2 )
& ( sK3 @ Y1 @ Y5 @ Y6 )
& ( ( cP @ Y3 @ Y1 )
= X1 )
& ( ( cP @ Y4 @ Y5 )
= Y0 ) ) ) ) ) ) ) ) )
=> ( sK3 @ X1 @ Y0 @ X2 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f56]) ).
thf(f56,plain,
! [X2: iS,X1: iS] :
( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( ( c0 = Y1 )
& ( Y0 = X1 ) )
| ( ( Y1 = Y0 )
& ( c0 = X1 ) )
| ( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ( ( cP @ Y3 @ Y7 )
= Y0 )
& ( sK3 @ Y4 @ Y5 @ Y3 )
& ( sK3 @ Y2 @ Y6 @ Y7 )
& ( ( cP @ Y4 @ Y2 )
= X1 )
& ( ( cP @ Y5 @ Y6 )
= Y1 ) ) ) ) ) ) ) ) )
=> ( sK3 @ X1 @ Y1 @ Y0 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f55]) ).
thf(f55,plain,
! [X1: iS] :
( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( ( c0 = Y1 )
& ( Y0 = X1 ) )
| ( ( Y1 = Y0 )
& ( c0 = X1 ) )
| ( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ( ( cP @ Y3 @ Y7 )
= Y0 )
& ( sK3 @ Y4 @ Y5 @ Y3 )
& ( sK3 @ Y2 @ Y6 @ Y7 )
& ( ( cP @ Y4 @ Y2 )
= X1 )
& ( ( cP @ Y5 @ Y6 )
= Y1 ) ) ) ) ) ) ) ) )
=> ( sK3 @ X1 @ Y1 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f54]) ).
thf(f54,plain,
! [X1: iS] :
( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( ( c0 = Y2 )
& ( Y1 = Y0 ) )
| ( ( Y2 = Y1 )
& ( c0 = Y0 ) )
| ( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ( ( cP @ Y4 @ Y8 )
= Y1 )
& ( sK3 @ Y5 @ Y6 @ Y4 )
& ( sK3 @ Y3 @ Y7 @ Y8 )
& ( ( cP @ Y5 @ Y3 )
= Y0 )
& ( ( cP @ Y6 @ Y7 )
= Y2 ) ) ) ) ) ) ) ) )
=> ( sK3 @ Y0 @ Y2 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f53]) ).
thf(f53,plain,
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( ( c0 = Y2 )
& ( Y1 = Y0 ) )
| ( ( Y2 = Y1 )
& ( c0 = Y0 ) )
| ( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ( ( cP @ Y4 @ Y8 )
= Y1 )
& ( sK3 @ Y5 @ Y6 @ Y4 )
& ( sK3 @ Y3 @ Y7 @ Y8 )
& ( ( cP @ Y5 @ Y3 )
= Y0 )
& ( ( cP @ Y6 @ Y7 )
= Y2 ) ) ) ) ) ) ) ) )
=> ( sK3 @ Y0 @ Y2 @ Y1 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f51]) ).
thf(f51,plain,
( $false
= ( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( ( c0 = Y2 )
& ( Y1 = Y0 ) )
| ( ( Y2 = Y1 )
& ( c0 = Y0 ) )
| ( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ( ( cP @ Y4 @ Y8 )
= Y1 )
& ( sK3 @ Y5 @ Y6 @ Y4 )
& ( sK3 @ Y3 @ Y7 @ Y8 )
& ( ( cP @ Y5 @ Y3 )
= Y0 )
& ( ( cP @ Y6 @ Y7 )
= Y2 ) ) ) ) ) ) ) ) )
=> ( sK3 @ Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( sK3 @ ( cP @ x @ c0 ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ),
inference(beta_eta_normalization,[],[f50]) ).
thf(f50,plain,
( $false
= ( ^ [Y0: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( c0 = Y3 )
& ( Y2 = Y1 ) )
| ( ( Y3 = Y2 )
& ( c0 = Y1 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y5 @ Y9 )
= Y2 )
& ( Y0 @ Y6 @ Y7 @ Y5 )
& ( Y0 @ Y4 @ Y8 @ Y9 )
& ( ( cP @ Y6 @ Y4 )
= Y1 )
& ( ( cP @ Y7 @ Y8 )
= Y3 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y0 @ ( cP @ x @ c0 ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) )
@ 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] :
( ( ( ( c0 = Y3 )
& ( Y2 = Y1 ) )
| ( ( Y3 = Y2 )
& ( c0 = Y1 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y5 @ Y9 )
= Y2 )
& ( Y0 @ Y6 @ Y7 @ Y5 )
& ( Y0 @ Y4 @ Y8 @ Y9 )
& ( ( cP @ Y6 @ Y4 )
= Y1 )
& ( ( cP @ Y7 @ Y8 )
= Y3 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y0 @ ( cP @ x @ c0 ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f9,plain,
( $false
= ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y0 @ Y3 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y2 )
& ( Y1 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( c0 = Y3 )
& ( Y2 = Y1 ) )
| ( ( Y3 = Y2 )
& ( c0 = Y1 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y5 @ Y9 )
= Y2 )
& ( Y0 @ Y6 @ Y7 @ Y5 )
& ( Y0 @ Y4 @ Y8 @ Y9 )
& ( ( cP @ Y6 @ Y4 )
= Y1 )
& ( ( cP @ Y7 @ Y8 )
= Y3 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y0 @ ( cP @ x @ c0 ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f8]) ).
thf(f8,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 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y0 @ Y3 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y2 )
& ( Y1 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( c0 = Y3 )
& ( Y2 = Y1 ) )
| ( ( Y3 = Y2 )
& ( c0 = Y1 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y5 @ Y9 )
= Y2 )
& ( Y0 @ Y6 @ Y7 @ Y5 )
& ( Y0 @ Y4 @ Y8 @ Y9 )
& ( ( cP @ Y6 @ Y4 )
= Y1 )
& ( ( cP @ Y7 @ Y8 )
= Y3 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y0 @ ( cP @ x @ c0 ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f7]) ).
thf(f7,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 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y0 @ Y3 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y2 )
& ( Y1 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( c0 = Y3 )
& ( Y2 = Y1 ) )
| ( ( Y3 = Y2 )
& ( c0 = Y1 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y5 @ Y9 )
= Y2 )
& ( Y0 @ Y6 @ Y7 @ Y5 )
& ( Y0 @ Y4 @ Y8 @ Y9 )
& ( ( cP @ Y6 @ Y4 )
= Y1 )
& ( ( cP @ Y7 @ Y8 )
= Y3 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) )
& $true )
=> ( Y0 @ ( cP @ x @ c0 ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f6]) ).
thf(f6,plain,
( ( ~ ( ( ( !! @ ( 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
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y0 @ Y3 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y2 )
& ( Y1 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( c0 = Y3 )
& ( Y2 = Y1 ) )
| ( ( Y3 = Y2 )
& ( c0 = Y1 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y5 @ Y9 )
= Y2 )
& ( Y0 @ Y6 @ Y7 @ Y5 )
& ( Y0 @ Y4 @ Y8 @ Y9 )
& ( ( cP @ Y6 @ Y4 )
= Y1 )
& ( ( cP @ Y7 @ Y8 )
= Y3 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) )
& $true )
=> ( Y0 @ ( cP @ x @ c0 ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( ( ~ ( ( ( !! @ ( 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
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y0 @ Y3 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y2 )
& ( Y1 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) ) )
=> ( !! @ ( iS > iS > iS > $o )
@ ^ [Y0: iS > iS > iS > $o] :
( ( ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( ( c0 = Y3 )
& ( Y2 = Y1 ) )
| ( ( Y3 = Y2 )
& ( c0 = Y1 ) )
| ( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ?? @ iS
@ ^ [Y6: iS] :
( ?? @ iS
@ ^ [Y7: iS] :
( ?? @ iS
@ ^ [Y8: iS] :
( ?? @ iS
@ ^ [Y9: iS] :
( ( ( cP @ Y5 @ Y9 )
= Y2 )
& ( Y0 @ Y6 @ Y7 @ Y5 )
& ( Y0 @ Y4 @ Y8 @ Y9 )
& ( ( cP @ Y6 @ Y4 )
= Y1 )
& ( ( cP @ Y7 @ Y8 )
= Y3 ) ) ) ) ) ) ) ) )
=> ( Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) )
& $true )
=> ( Y0 @ ( cP @ x @ c0 ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ( ! [X0: iS,X1: iS] :
( c0
!= ( cP @ X1 @ X0 ) )
& ! [X2: iS,X3: iS,X4: iS,X5: iS] :
( ( ( cP @ X5 @ X2 )
= ( cP @ X4 @ X3 ) )
=> ( ( X4 = X5 )
& ( X2 = X3 ) ) )
& ! [X6: iS > $o] :
( ( ! [X7: iS,X8: iS] :
( ( ( X6 @ X8 )
& ( X6 @ X7 ) )
=> ( X6 @ ( cP @ X7 @ X8 ) ) )
& ( X6 @ c0 ) )
=> ! [X9: iS] : ( X6 @ X9 ) ) )
=> ! [X10: iS > iS > iS > $o] :
( ( $true
& ! [X11: iS,X12: iS,X13: iS] :
( ( ? [X14: iS,X15: iS,X16: iS,X17: iS,X18: iS,X19: iS] :
( ( ( cP @ X16 @ X15 )
= X11 )
& ( ( cP @ X17 @ X19 )
= X13 )
& ( X10 @ X19 @ X15 @ X14 )
& ( X10 @ X17 @ X16 @ X18 )
& ( ( cP @ X18 @ X14 )
= X12 ) )
| ( ( c0 = X13 )
& ( X11 = X12 ) )
| ( ( X12 = X13 )
& ( c0 = X11 ) ) )
=> ( X10 @ X13 @ X11 @ X12 ) ) )
=> ( X10 @ ( cP @ x @ c0 ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X1: iS,X0: iS] :
( ( cP @ X0 @ X1 )
!= c0 )
& ! [X2: iS,X3: iS,X1: iS,X0: iS] :
( ( ( cP @ X0 @ X2 )
= ( cP @ X1 @ X3 ) )
=> ( ( X0 = X1 )
& ( X2 = X3 ) ) )
& ! [X4: iS > $o] :
( ( ! [X0: iS,X1: iS] :
( ( ( X4 @ X1 )
& ( X4 @ X0 ) )
=> ( X4 @ ( cP @ X0 @ X1 ) ) )
& ( X4 @ c0 ) )
=> ! [X0: iS] : ( X4 @ X0 ) ) )
=> ! [X5: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X6: iS] :
( ( ? [X14: iS,X12: iS,X11: iS,X9: iS,X13: iS,X10: iS] :
( ( ( cP @ X11 @ X12 )
= X7 )
& ( ( cP @ X9 @ X10 )
= X6 )
& ( X5 @ X10 @ X12 @ X14 )
& ( X5 @ X9 @ X11 @ X13 )
& ( ( cP @ X13 @ X14 )
= X8 ) )
| ( ( c0 = X6 )
& ( X7 = X8 ) )
| ( ( X6 = X8 )
& ( c0 = X7 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) ) )
=> ( X5 @ ( cP @ x @ c0 ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X1: iS,X0: iS] :
( ( cP @ X0 @ X1 )
!= c0 )
& ! [X2: iS,X3: iS,X1: iS,X0: iS] :
( ( ( cP @ X0 @ X2 )
= ( cP @ X1 @ X3 ) )
=> ( ( X0 = X1 )
& ( X2 = X3 ) ) )
& ! [X4: iS > $o] :
( ( ! [X0: iS,X1: iS] :
( ( ( X4 @ X1 )
& ( X4 @ X0 ) )
=> ( X4 @ ( cP @ X0 @ X1 ) ) )
& ( X4 @ c0 ) )
=> ! [X0: iS] : ( X4 @ X0 ) ) )
=> ! [X5: iS > iS > iS > $o] :
( ( $true
& ! [X7: iS,X8: iS,X6: iS] :
( ( ? [X14: iS,X12: iS,X11: iS,X9: iS,X13: iS,X10: iS] :
( ( ( cP @ X11 @ X12 )
= X7 )
& ( ( cP @ X9 @ X10 )
= X6 )
& ( X5 @ X10 @ X12 @ X14 )
& ( X5 @ X9 @ X11 @ X13 )
& ( ( cP @ X13 @ X14 )
= X8 ) )
| ( ( c0 = X6 )
& ( X7 = X8 ) )
| ( ( X6 = X8 )
& ( c0 = X7 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) ) )
=> ( X5 @ ( cP @ x @ c0 ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_INCL_LEM4_pme) ).
thf(f294,plain,
( ( $false
= ( sK3 @ c0 @ c0 @ c0 ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f292]) ).
thf(f292,plain,
( spl0_3
<=> ( $false
= ( sK3 @ c0 @ c0 @ c0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f383,plain,
( spl0_3
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f381,f302,f299,f292]) ).
thf(f299,plain,
( spl0_5
<=> ! [X2: iS] :
( $true
= ( sK3 @ X2 @ X2 @ X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f302,plain,
( spl0_6
<=> ! [X0: iS] :
( ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= X0 )
| ( $false
= ( sK3 @ X0
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f381,plain,
( ! [X0: iS] :
( ( $false
= ( sK3 @ c0 @ c0 @ c0 ) )
| ( $true
= ( sK3 @ X0 @ X0 @ X0 ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f380]) ).
thf(f380,plain,
( ! [X0: iS] :
( ( $true
= ( sK3 @ X0 @ X0 @ X0 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) )
| ( $false
= ( sK3 @ c0 @ c0 @ c0 ) ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f379]) ).
thf(f379,plain,
( ! [X0: iS] :
( ( $true
= ( sK3
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0
@ ( ^ [Y0: iS] : Y0
@ X0 ) ) )
| ( ( ^ [Y0: iS] : Y0
@ ( sK2
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) )
| ( $false
= ( sK3
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0
@ ( ^ [Y0: iS] : Y0
@ c0 ) ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f378]) ).
thf(f378,plain,
( ! [X0: iS] :
( ( $false
= ( sK3
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0
@ ( ^ [Y0: iS] : Y0
@ c0 ) ) )
| ( $true
= ( sK3
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0
@ ( ^ [Y0: iS] : Y0
@ X0 ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( ^ [Y0: iS] : Y0
@ ( sK2
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f376]) ).
thf(f376,plain,
( ! [X0: iS] :
( ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( ^ [Y0: iS] : Y0
@ ( sK2
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) )
| ( $true
= ( sK3
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0
@ ( ^ [Y0: iS] : Y0
@ X0 ) ) )
| ( $false
= ( sK3
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0
@ ( ^ [Y0: iS] : Y0
@ c0 ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) ) )
| ~ spl0_6 ),
inference(equality_resolution,[],[f364]) ).
thf(f364,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( X1
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ ( X1 @ Y0 ) @ Y0 @ ( X0 @ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= X0 )
| ( $false
= ( sK3 @ ( X1 @ c0 ) @ c0 @ ( X0 @ c0 ) ) )
| ( ( sK3 @ ( X1 @ X2 ) @ X2 @ ( X0 @ X2 ) )
= $true )
| ( ( ^ [Y0: iS] : Y0 )
!= X1 )
| ( ( X0
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ ( X1 @ Y0 ) @ Y0 @ ( X0 @ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f363]) ).
thf(f363,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( X1
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) )
| ( $false
= ( ^ [Y0: iS] :
( sK3 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ c0 ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X1 @ Y0 ) ) )
| ( ( X0
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) )
| ( ( ^ [Y0: iS] : ( X0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) )
| ( $true
= ( ^ [Y0: iS] :
( sK3 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X2 ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f357]) ).
thf(f357,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( $false = $true )
| ( ( ^ [Y0: iS] : ( X0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) )
| ( ( X0
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X1 @ Y0 ) ) )
| ( $false
= ( ^ [Y0: iS] :
( sK3 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ c0 ) )
| ( ( X1
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 ) ) ) )
!= ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) )
| ( $true
= ( ^ [Y0: iS] :
( sK3 @ ( X1 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X2 ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f355,f29]) ).
thf(f29,plain,
! [X2: iS,X1: iS > $o] :
( ( $true
= ( X1 @ ( sK2 @ X1 ) ) )
| ( $true
= ( X1 @ X2 ) )
| ( $false
= ( X1 @ c0 ) ) ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f27,plain,
! [X2: iS,X1: iS > $o] :
( ( $false
= ( X1 @ c0 ) )
| ( ( ( X1 @ ( sK2 @ X1 ) )
& ( X1 @ ( sK1 @ X1 ) ) )
= $true )
| ( $true
= ( X1 @ X2 ) ) ),
inference(pi_clausification,[],[f25]) ).
thf(f25,plain,
! [X1: iS > $o] :
( ( $false
= ( X1 @ c0 ) )
| ( $true
= ( !! @ iS @ X1 ) )
| ( ( ( X1 @ ( sK2 @ X1 ) )
& ( X1 @ ( sK1 @ X1 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f23]) ).
thf(f23,plain,
! [X1: iS > $o] :
( ( ( ( ( X1 @ ( sK2 @ X1 ) )
& ( X1 @ ( sK1 @ X1 ) ) )
=> ( X1 @ ( cP @ ( sK2 @ X1 ) @ ( sK1 @ X1 ) ) ) )
= $false )
| ( $true
= ( !! @ iS @ X1 ) )
| ( $false
= ( X1 @ c0 ) ) ),
inference(beta_eta_normalization,[],[f22]) ).
thf(f22,plain,
! [X1: iS > $o] :
( ( $false
= ( ^ [Y0: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ ( sK1 @ X1 ) ) )
=> ( X1 @ ( cP @ Y0 @ ( sK1 @ X1 ) ) ) )
@ ( sK2 @ X1 ) ) )
| ( $false
= ( X1 @ c0 ) )
| ( $true
= ( !! @ iS @ X1 ) ) ),
inference(sigma_clausification,[],[f21]) ).
thf(f21,plain,
! [X1: iS > $o] :
( ( $false
= ( X1 @ c0 ) )
| ( $false
= ( !! @ iS
@ ^ [Y0: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ ( sK1 @ X1 ) ) )
=> ( X1 @ ( cP @ Y0 @ ( sK1 @ X1 ) ) ) ) ) )
| ( $true
= ( !! @ iS @ X1 ) ) ),
inference(beta_eta_normalization,[],[f20]) ).
thf(f20,plain,
! [X1: iS > $o] :
( ( $true
= ( !! @ iS @ X1 ) )
| ( $false
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y1 )
& ( X1 @ Y0 ) )
=> ( X1 @ ( cP @ Y1 @ Y0 ) ) ) )
@ ( sK1 @ X1 ) ) )
| ( $false
= ( X1 @ c0 ) ) ),
inference(sigma_clausification,[],[f19]) ).
thf(f19,plain,
! [X1: iS > $o] :
( ( $false
= ( X1 @ c0 ) )
| ( $false
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y1 )
& ( X1 @ Y0 ) )
=> ( X1 @ ( cP @ Y1 @ Y0 ) ) ) ) ) )
| ( $true
= ( !! @ iS @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f18]) ).
thf(f18,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,[],[f17]) ).
thf(f17,plain,
! [X1: iS > $o] :
( ( ( ( X1 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y1 )
& ( X1 @ Y0 ) )
=> ( X1 @ ( cP @ Y1 @ Y0 ) ) ) ) ) )
=> ( !! @ iS @ X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,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,[],[f15]) ).
thf(f15,plain,
( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( 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 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y0 @ Y3 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y2 )
& ( Y1 = Y0 ) ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f11,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 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y0 @ Y3 )
= ( cP @ Y1 @ Y2 ) )
=> ( ( Y3 = Y2 )
& ( Y1 = Y0 ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f355,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_6 ),
inference(equality_resolution,[],[f303]) ).
thf(f303,plain,
( ! [X0: iS] :
( ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= X0 )
| ( $false
= ( sK3 @ X0
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f302]) ).
thf(f352,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f351]) ).
thf(f351,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f338]) ).
thf(f338,plain,
( ( $false = $true )
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f192,f300]) ).
thf(f300,plain,
( ! [X2: iS] :
( $true
= ( sK3 @ X2 @ X2 @ X2 ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f299]) ).
thf(f192,plain,
( ( $false
= ( sK3 @ x @ x @ x ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f190]) ).
thf(f190,plain,
( spl0_1
<=> ( $false
= ( sK3 @ x @ x @ x ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f333,plain,
( spl0_5
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f331,f296,f292,f299]) ).
thf(f296,plain,
( spl0_4
<=> ! [X1: iS] :
( ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= X1 )
| ( $false
= ( sK3 @ X1
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f331,plain,
( ! [X0: iS] :
( ( $true
= ( sK3 @ X0 @ X0 @ X0 ) )
| ( $false
= ( sK3 @ c0 @ c0 @ c0 ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f330]) ).
thf(f330,plain,
( ! [X0: iS] :
( ( $false
= ( sK3 @ c0 @ c0 @ c0 ) )
| ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) )
| ( $true
= ( sK3 @ X0 @ X0 @ X0 ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f329]) ).
thf(f329,plain,
( ! [X0: iS] :
( ( $true
= ( sK3
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0
@ ( ^ [Y0: iS] : Y0
@ X0 ) ) )
| ( $false
= ( sK3
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0
@ ( ^ [Y0: iS] : Y0
@ c0 ) ) )
| ( ( ^ [Y0: iS] : Y0
@ ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) )
!= ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f328]) ).
thf(f328,plain,
( ! [X0: iS] :
( ( ( ^ [Y0: iS] : Y0
@ ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) )
!= ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) )
| ( $false
= ( sK3
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0
@ ( ^ [Y0: iS] : Y0
@ c0 ) ) )
| ( $true
= ( sK3
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0
@ ( ^ [Y0: iS] : Y0
@ X0 ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) ) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f326]) ).
thf(f326,plain,
( ! [X0: iS] :
( ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) )
| ( $true
= ( sK3
@ ( ^ [Y0: iS] : Y0
@ X0 )
@ X0
@ ( ^ [Y0: iS] : Y0
@ X0 ) ) )
| ( ( ^ [Y0: iS] : Y0
@ ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) )
!= ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) )
| ( $false
= ( sK3
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0
@ ( ^ [Y0: iS] : Y0
@ c0 ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : Y0 ) ) )
| ~ spl0_4 ),
inference(equality_resolution,[],[f319]) ).
thf(f319,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ ( X0 @ Y0 ) @ Y0 @ ( X1 @ Y0 ) ) ) ) )
| ( $true
= ( sK3 @ ( X0 @ X2 ) @ X2 @ ( X1 @ X2 ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= X0 )
| ( ( sK3 @ ( X0 @ c0 ) @ c0 @ ( X1 @ c0 ) )
= $false )
| ( ( X0
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ ( X0 @ Y0 ) @ Y0 @ ( X1 @ Y0 ) ) ) )
!= ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= X1 ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f318]) ).
thf(f318,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( ( X0
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) ) ) )
!= ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X1 @ Y0 ) ) )
| ( $true
= ( ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ X2 ) )
| ( ( ^ [Y0: iS] : ( X0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) )
| ( $false
= ( ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ c0 ) )
| ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) ) ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f308]) ).
thf(f308,plain,
( ! [X2: iS,X0: iS > iS,X1: iS > iS] :
( ( $false
= ( ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ c0 ) )
| ( $false = $true )
| ( ( X0
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) ) ) )
!= ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) )
| ( $true
= ( ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ X2 ) )
| ( ( ^ [Y0: iS] : Y0 )
!= ( ^ [Y0: iS] : ( X1 @ Y0 ) ) )
| ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= ( X1
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X1 @ Y0 ) ) ) ) )
| ( ( ^ [Y0: iS] : ( X0 @ Y0 ) )
!= ( ^ [Y0: iS] : Y0 ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f305,f28]) ).
thf(f28,plain,
! [X2: iS,X1: iS > $o] :
( ( $true
= ( X1 @ ( sK1 @ X1 ) ) )
| ( $true
= ( X1 @ X2 ) )
| ( $false
= ( X1 @ c0 ) ) ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f305,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_4 ),
inference(equality_resolution,[],[f297]) ).
thf(f297,plain,
( ! [X1: iS] :
( ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= X1 )
| ( $false
= ( sK3 @ X1
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f296]) ).
thf(f304,plain,
( spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f289,f302,f299,f296,f292]) ).
thf(f289,plain,
! [X2: iS,X0: iS,X1: iS] :
( ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= X1 )
| ( $false
= ( sK3 @ c0 @ c0 @ c0 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
!= X0 )
| ( $true
= ( sK3 @ X2 @ X2 @ X2 ) )
| ( $false
= ( sK3 @ X1
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) ) )
| ( $false
= ( sK3 @ X0
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ Y0 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f287]) ).
thf(f287,plain,
! [X2: iS,X0: iS,X1: iS] :
( ( ( sK2
@ ^ [Y0: iS] :
( sK3 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
!= X0 )
| ( ( sK1
@ ^ [Y0: iS] :
( sK3 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
!= X1 )
| ( $true
= ( sK3 @ X2
@ ( ^ [Y0: iS] : Y0
@ X2 )
@ X2 ) )
| ( $false
= ( sK3 @ X1
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) ) ) )
| ( $false
= ( sK3 @ X0
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) )
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ Y0 ) ) ) )
| ( $false
= ( sK3 @ c0
@ ( ^ [Y0: iS] : Y0
@ c0 )
@ c0 ) ) ),
inference(equality_resolution,[],[f285]) ).
thf(f285,plain,
! [X2: iS,X3: iS,X0: iS > iS,X1: iS,X4: iS,X5: iS] :
( ( ( X0
@ ( cP
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ ( X0 @ Y0 ) @ Y0 ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ ( X0 @ Y0 ) @ Y0 ) ) ) )
!= ( cP @ X4 @ X3 ) )
| ( $false
= ( sK3 @ c0 @ ( X0 @ c0 ) @ c0 ) )
| ( $false
= ( sK3 @ X5 @ X4
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ ( X0 @ Y0 ) @ Y0 ) ) ) )
| ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ ( X0 @ Y0 ) @ Y0 ) )
!= X2 )
| ( $true
= ( sK3 @ X1 @ ( X0 @ X1 ) @ X1 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ ( X0 @ Y0 ) @ Y0 ) )
!= X5 )
| ( $false
= ( sK3 @ X2 @ X3
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ ( X0 @ Y0 ) @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f283]) ).
thf(f283,plain,
! [X2: iS,X3: iS,X0: iS > iS,X1: iS,X4: iS,X5: iS] :
( ( ( sK1
@ ^ [Y0: iS] :
( sK3 @ Y0 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
!= X2 )
| ( ( cP @ X4 @ X3 )
!= ( X0
@ ( cP
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ Y0 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ Y0 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) ) )
| ( $false
= ( sK3 @ X2 @ X3
@ ( sK1
@ ^ [Y0: iS] :
( sK3 @ Y0 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( $false
= ( sK3 @ c0 @ ( X0 @ c0 )
@ ( ^ [Y0: iS] : Y0
@ c0 ) ) )
| ( $true
= ( sK3 @ X1 @ ( X0 @ X1 )
@ ( ^ [Y0: iS] : Y0
@ X1 ) ) )
| ( $false
= ( sK3 @ X5 @ X4
@ ( sK2
@ ^ [Y0: iS] :
( sK3 @ Y0 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) ) ) )
| ( ( sK2
@ ^ [Y0: iS] :
( sK3 @ Y0 @ ( X0 @ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
!= X5 ) ),
inference(equality_resolution,[],[f182]) ).
thf(f182,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 @ Y0 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) ) ) ) ) )
| ( ( sK3 @ c0 @ ( X3 @ c0 ) @ ( X2 @ c0 ) )
= $false )
| ( $true
= ( sK3 @ X8 @ ( X3 @ X8 ) @ ( X2 @ X8 ) ) )
| ( ( sK3 @ X7 @ X5 @ X1 )
= $false )
| ( ( X3
@ ( cP
@ ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) ) ) ) )
!= ( cP @ X4 @ X5 ) )
| ( $false
= ( sK3 @ X6 @ X4 @ X0 ) )
| ( ( sK2
@ ^ [Y0: iS] : ( sK3 @ Y0 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) ) )
!= X6 )
| ( ( sK1
@ ^ [Y0: iS] : ( sK3 @ Y0 @ ( X3 @ Y0 ) @ ( X2 @ Y0 ) ) )
!= X7 ) ),
inference(beta_eta_normalization,[],[f181]) ).
thf(f181,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
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) ) ) ) ) )
| ( $false
= ( sK3 @ X6 @ X4 @ X0 ) )
| ( ( sK2
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) ) )
!= X6 )
| ( ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) ) )
!= X7 )
| ( $false
= ( ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) )
@ c0 ) )
| ( ( X3
@ ( cP
@ ( sK2
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) ) ) ) )
!= ( cP @ X4 @ X5 ) )
| ( ( ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) )
@ X8 )
= $true )
| ( ( sK3 @ X7 @ X5 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f177]) ).
thf(f177,plain,
! [X2: iS > iS,X3: iS > iS,X0: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( sK3 @ X6 @ X4 @ X0 ) )
| ( $false
= ( ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) )
@ c0 ) )
| ( ( ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) )
@ X8 )
= $true )
| ( $false = $true )
| ( ( cP @ X0 @ X1 )
!= ( X2
@ ( cP
@ ( sK2
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) ) ) ) ) )
| ( ( sK3 @ X7 @ X5 @ X1 )
= $false )
| ( ( sK2
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) ) )
!= X6 )
| ( ( X3
@ ( cP
@ ( sK2
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) ) )
@ ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) ) ) ) )
!= ( cP @ X4 @ X5 ) )
| ( ( sK1
@ ^ [Y0: iS] :
( sK3
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( X3 @ Y0 )
@ ( X2 @ Y0 ) ) )
!= X7 ) ),
inference(constrained_superposition,[],[f26,f171]) ).
thf(f171,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS,X4: iS,X5: iS] :
( ( $true
= ( sK3 @ ( cP @ X3 @ X0 ) @ ( cP @ X4 @ X1 ) @ ( cP @ X5 @ X2 ) ) )
| ( $false
= ( sK3 @ X0 @ X1 @ X2 ) )
| ( $false
= ( sK3 @ X3 @ X4 @ X5 ) ) ),
inference(equality_resolution,[],[f170]) ).
thf(f170,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( ( ( cP @ X6 @ X0 )
!= X3 )
| ( $false
= ( sK3 @ X0 @ X1 @ X2 ) )
| ( $false
= ( sK3 @ X6 @ X4 @ X5 ) )
| ( $true
= ( sK3 @ X3 @ ( cP @ X4 @ X1 ) @ ( cP @ X5 @ X2 ) ) ) ),
inference(equality_resolution,[],[f96]) ).
thf(f96,plain,
! [X2: iS,X3: iS,X0: iS,X1: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( cP @ X5 @ X7 )
!= X3 )
| ( $false
= ( sK3 @ X6 @ X2 @ X7 ) )
| ( $true
= ( sK3 @ X0 @ ( cP @ X1 @ X2 ) @ X3 ) )
| ( ( cP @ X4 @ X6 )
!= X0 )
| ( $false
= ( sK3 @ X4 @ X1 @ X5 ) ) ),
inference(equality_resolution,[],[f81]) ).
thf(f81,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( ( cP @ X7 @ X8 )
!= X3 )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( $false
= ( sK3 @ X6 @ X7 @ X5 ) )
| ( ( cP @ X6 @ X4 )
!= X1 )
| ( $false
= ( sK3 @ X4 @ X8 @ X9 ) )
| ( ( cP @ X5 @ X9 )
!= X2 ) ),
inference(equality_proxy_clausification,[],[f80]) ).
thf(f80,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( $false
= ( sK3 @ X4 @ X8 @ X9 ) )
| ( ( cP @ X6 @ X4 )
!= X1 )
| ( $false
= ( ( cP @ X5 @ X9 )
= X2 ) )
| ( $false
= ( sK3 @ X6 @ X7 @ X5 ) )
| ( ( cP @ X7 @ X8 )
!= X3 ) ),
inference(equality_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 @ X6 @ X4 )
= X1 )
= $false )
| ( $false
= ( sK3 @ X6 @ X7 @ X5 ) )
| ( $false
= ( sK3 @ X4 @ X8 @ X9 ) )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ( cP @ X5 @ X9 )
= X2 ) )
| ( ( cP @ X7 @ X8 )
!= X3 ) ),
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] :
( ( ( cP @ X7 @ X8 )
!= X3 )
| ( $false
= ( ( ( cP @ X5 @ X9 )
= X2 )
& ( sK3 @ X6 @ X7 @ X5 ) ) )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( ( ( cP @ X6 @ X4 )
= X1 )
= $false )
| ( $false
= ( sK3 @ X4 @ X8 @ X9 ) ) ),
inference(equality_proxy_clausification,[],[f77]) ).
thf(f77,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( ( cP @ X7 @ X8 )
= X3 ) )
| ( $false
= ( sK3 @ X4 @ X8 @ X9 ) )
| ( ( ( cP @ X6 @ X4 )
= X1 )
= $false )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ( ( cP @ X5 @ X9 )
= X2 )
& ( sK3 @ X6 @ X7 @ X5 ) ) ) ),
inference(binary_proxy_clausification,[],[f76]) ).
thf(f76,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ( ( cP @ X5 @ X9 )
= X2 )
& ( sK3 @ X6 @ X7 @ X5 )
& ( sK3 @ X4 @ X8 @ X9 ) ) )
| ( ( ( cP @ X6 @ X4 )
= X1 )
= $false )
| ( $false
= ( ( cP @ X7 @ X8 )
= X3 ) ) ),
inference(binary_proxy_clausification,[],[f75]) ).
thf(f75,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( ( ( cP @ X5 @ X9 )
= X2 )
& ( sK3 @ X6 @ X7 @ X5 )
& ( sK3 @ X4 @ X8 @ X9 )
& ( ( cP @ X6 @ X4 )
= X1 ) ) )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ( cP @ X7 @ X8 )
= X3 ) ) ),
inference(binary_proxy_clausification,[],[f74]) ).
thf(f74,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $false
= ( ( ( cP @ X5 @ X9 )
= X2 )
& ( sK3 @ X6 @ X7 @ X5 )
& ( sK3 @ X4 @ X8 @ X9 )
& ( ( cP @ X6 @ X4 )
= X1 )
& ( ( cP @ X7 @ X8 )
= X3 ) ) )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f73]) ).
thf(f73,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X9: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ^ [Y0: iS] :
( ( ( cP @ X5 @ Y0 )
= X2 )
& ( sK3 @ X6 @ X7 @ X5 )
& ( sK3 @ X4 @ X8 @ Y0 )
& ( ( cP @ X6 @ X4 )
= X1 )
& ( ( cP @ X7 @ X8 )
= X3 ) )
@ X9 ) ) ),
inference(pi_clausification,[],[f72]) ).
thf(f72,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ?? @ iS
@ ^ [Y0: iS] :
( ( ( cP @ X5 @ Y0 )
= X2 )
& ( sK3 @ X6 @ X7 @ X5 )
& ( sK3 @ X4 @ X8 @ Y0 )
& ( ( cP @ X6 @ X4 )
= X1 )
& ( ( cP @ X7 @ X8 )
= X3 ) ) ) ) ),
inference(beta_eta_normalization,[],[f71]) ).
thf(f71,plain,
! [X2: iS,X3: iS,X1: iS,X8: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ( ( cP @ X5 @ Y1 )
= X2 )
& ( sK3 @ X6 @ X7 @ X5 )
& ( sK3 @ X4 @ Y0 @ Y1 )
& ( ( cP @ X6 @ X4 )
= X1 )
& ( ( cP @ X7 @ Y0 )
= X3 ) ) )
@ X8 )
= $false )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) ) ),
inference(pi_clausification,[],[f70]) ).
thf(f70,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ( ( cP @ X5 @ Y1 )
= X2 )
& ( sK3 @ X6 @ X7 @ X5 )
& ( sK3 @ X4 @ Y0 @ Y1 )
& ( ( cP @ X6 @ X4 )
= X1 )
& ( ( cP @ X7 @ Y0 )
= X3 ) ) ) )
= $false )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f69]) ).
thf(f69,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X7: iS,X4: iS,X5: iS] :
( ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ( ( cP @ X5 @ Y2 )
= X2 )
& ( sK3 @ X6 @ Y0 @ X5 )
& ( sK3 @ X4 @ Y1 @ Y2 )
& ( ( cP @ X6 @ X4 )
= X1 )
& ( ( cP @ Y0 @ Y1 )
= X3 ) ) ) )
@ X7 )
= $false ) ),
inference(pi_clausification,[],[f68]) ).
thf(f68,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( ( $false
= ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ( ( cP @ X5 @ Y2 )
= X2 )
& ( sK3 @ X6 @ Y0 @ X5 )
& ( sK3 @ X4 @ Y1 @ Y2 )
& ( ( cP @ X6 @ X4 )
= X1 )
& ( ( cP @ Y0 @ Y1 )
= X3 ) ) ) ) ) )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f67]) ).
thf(f67,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 @ X5 @ Y3 )
= X2 )
& ( sK3 @ Y0 @ Y1 @ X5 )
& ( sK3 @ X4 @ Y2 @ Y3 )
& ( ( cP @ Y0 @ X4 )
= X1 )
& ( ( cP @ Y1 @ Y2 )
= X3 ) ) ) ) )
@ X6 ) )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) ) ),
inference(pi_clausification,[],[f66]) ).
thf(f66,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 @ X5 @ Y3 )
= X2 )
& ( sK3 @ Y0 @ Y1 @ X5 )
& ( sK3 @ X4 @ Y2 @ Y3 )
& ( ( cP @ Y0 @ X4 )
= X1 )
& ( ( cP @ Y1 @ Y2 )
= X3 ) ) ) ) ) ) )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f65]) ).
thf(f65,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 @ Y0 @ Y4 )
= X2 )
& ( sK3 @ Y1 @ Y2 @ Y0 )
& ( sK3 @ X4 @ Y3 @ Y4 )
& ( ( cP @ Y1 @ X4 )
= X1 )
& ( ( cP @ Y2 @ Y3 )
= X3 ) ) ) ) ) )
@ X5 ) )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) ) ),
inference(pi_clausification,[],[f64]) ).
thf(f64,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 @ Y0 @ Y4 )
= X2 )
& ( sK3 @ Y1 @ Y2 @ Y0 )
& ( sK3 @ X4 @ Y3 @ Y4 )
& ( ( cP @ Y1 @ X4 )
= X1 )
& ( ( cP @ Y2 @ Y3 )
= X3 ) ) ) ) ) ) ) )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) ) ),
inference(beta_eta_normalization,[],[f63]) ).
thf(f63,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS] :
( ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( ( cP @ Y1 @ Y5 )
= X2 )
& ( sK3 @ Y2 @ Y3 @ Y1 )
& ( sK3 @ Y0 @ Y4 @ Y5 )
& ( ( cP @ Y2 @ Y0 )
= X1 )
& ( ( cP @ Y3 @ Y4 )
= X3 ) ) ) ) ) ) )
@ X4 ) ) ),
inference(pi_clausification,[],[f61]) ).
thf(f61,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( $false
= ( ?? @ iS
@ ^ [Y0: iS] :
( ?? @ iS
@ ^ [Y1: iS] :
( ?? @ iS
@ ^ [Y2: iS] :
( ?? @ iS
@ ^ [Y3: iS] :
( ?? @ iS
@ ^ [Y4: iS] :
( ?? @ iS
@ ^ [Y5: iS] :
( ( ( cP @ Y1 @ Y5 )
= X2 )
& ( sK3 @ Y2 @ Y3 @ Y1 )
& ( sK3 @ Y0 @ Y4 @ Y5 )
& ( ( cP @ Y2 @ Y0 )
= X1 )
& ( ( cP @ Y3 @ Y4 )
= X3 ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f60]) ).
thf(f26,plain,
! [X2: iS,X1: iS > $o] :
( ( ( X1 @ ( cP @ ( sK2 @ X1 ) @ ( sK1 @ X1 ) ) )
= $false )
| ( $true
= ( X1 @ X2 ) )
| ( $false
= ( X1 @ c0 ) ) ),
inference(pi_clausification,[],[f24]) ).
thf(f24,plain,
! [X1: iS > $o] :
( ( ( X1 @ ( cP @ ( sK2 @ X1 ) @ ( sK1 @ X1 ) ) )
= $false )
| ( $true
= ( !! @ iS @ X1 ) )
| ( $false
= ( X1 @ c0 ) ) ),
inference(binary_proxy_clausification,[],[f23]) ).
thf(f215,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f214]) ).
thf(f214,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f200]) ).
thf(f200,plain,
( ( y != y )
| ( $false = $true )
| ~ spl0_2 ),
inference(superposition,[],[f196,f94]) ).
thf(f94,plain,
! [X0: iS,X1: iS] :
( ( $true
= ( sK3 @ c0 @ X0 @ X1 ) )
| ( X0 != X1 ) ),
inference(equality_resolution,[],[f86]) ).
thf(f86,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( c0 != X1 )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( X2 != X3 ) ),
inference(equality_proxy_clausification,[],[f85]) ).
thf(f85,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( c0 != X1 )
| ( ( X3 = X2 )
= $false )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f84]) ).
thf(f84,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( $false
= ( c0 = X1 ) )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) )
| ( ( X3 = X2 )
= $false ) ),
inference(binary_proxy_clausification,[],[f82]) ).
thf(f82,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( ( ( X3 = X2 )
& ( c0 = X1 ) )
= $false )
| ( $true
= ( sK3 @ X1 @ X3 @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f62]) ).
thf(f196,plain,
( ( $false
= ( sK3 @ c0 @ y @ y ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f194]) ).
thf(f194,plain,
( spl0_2
<=> ( $false
= ( sK3 @ c0 @ y @ y ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f198,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f183,f190,f194]) ).
thf(f183,plain,
( ( $false
= ( sK3 @ x @ x @ x ) )
| ( $false
= ( sK3 @ c0 @ y @ y ) ) ),
inference(trivial_inequality_removal,[],[f173]) ).
thf(f173,plain,
( ( $false
= ( sK3 @ x @ x @ x ) )
| ( $false
= ( sK3 @ c0 @ y @ y ) )
| ( $false = $true ) ),
inference(superposition,[],[f171,f52]) ).
thf(f52,plain,
( $false
= ( sK3 @ ( cP @ x @ c0 ) @ ( cP @ x @ y ) @ ( cP @ x @ y ) ) ),
inference(binary_proxy_clausification,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV204^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % 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
% 0.14/0.37 % Computer : n019.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sun May 19 18:23:38 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a TH0_THM_EQU_NAR problem
% 0.14/0.37 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
% 0.14/0.39 % (29792)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.39 % (29791)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)
% 0.14/0.39 % (29793)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)
% 0.14/0.39 % (29789)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39 % (29786)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39 % (29789)Instruction limit reached!
% 0.14/0.39 % (29789)------------------------------
% 0.14/0.39 % (29789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (29789)Termination reason: Unknown
% 0.14/0.39 % (29789)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (29789)Memory used [KB]: 895
% 0.14/0.39 % (29789)Time elapsed: 0.002 s
% 0.14/0.39 % (29789)Instructions burned: 2 (million)
% 0.14/0.39 % (29789)------------------------------
% 0.14/0.39 % (29789)------------------------------
% 0.14/0.39 % (29790)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)
% 0.14/0.39 % (29793)Instruction limit reached!
% 0.14/0.39 % (29793)------------------------------
% 0.14/0.39 % (29793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (29790)Instruction limit reached!
% 0.14/0.39 % (29790)------------------------------
% 0.14/0.39 % (29790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (29790)Termination reason: Unknown
% 0.14/0.39 % (29790)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (29790)Memory used [KB]: 895
% 0.14/0.39 % (29790)Time elapsed: 0.003 s
% 0.14/0.39 % (29790)Instructions burned: 2 (million)
% 0.14/0.39 % (29790)------------------------------
% 0.14/0.39 % (29790)------------------------------
% 0.14/0.39 % (29793)Termination reason: Unknown
% 0.14/0.39 % (29793)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (29793)Memory used [KB]: 5500
% 0.14/0.39 % (29793)Time elapsed: 0.004 s
% 0.14/0.39 % (29793)Instructions burned: 4 (million)
% 0.14/0.39 % (29793)------------------------------
% 0.14/0.39 % (29793)------------------------------
% 0.14/0.39 % (29787)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)
% 0.22/0.39 % (29787)Instruction limit reached!
% 0.22/0.39 % (29787)------------------------------
% 0.22/0.39 % (29787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (29787)Termination reason: Unknown
% 0.22/0.39 % (29787)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (29787)Memory used [KB]: 5500
% 0.22/0.39 % (29787)Time elapsed: 0.004 s
% 0.22/0.39 % (29787)Instructions burned: 5 (million)
% 0.22/0.39 % (29787)------------------------------
% 0.22/0.39 % (29787)------------------------------
% 0.22/0.39 % (29792)Instruction limit reached!
% 0.22/0.39 % (29792)------------------------------
% 0.22/0.39 % (29792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (29792)Termination reason: Unknown
% 0.22/0.39 % (29792)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (29792)Memory used [KB]: 5628
% 0.22/0.39 % (29792)Time elapsed: 0.010 s
% 0.22/0.39 % (29792)Instructions burned: 18 (million)
% 0.22/0.39 % (29792)------------------------------
% 0.22/0.39 % (29792)------------------------------
% 0.22/0.40 % (29788)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)
% 0.22/0.40 % (29794)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.40 % (29795)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.40 % (29796)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (29796)Instruction limit reached!
% 0.22/0.41 % (29796)------------------------------
% 0.22/0.41 % (29796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (29796)Termination reason: Unknown
% 0.22/0.41 % (29796)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (29796)Memory used [KB]: 5500
% 0.22/0.41 % (29796)Time elapsed: 0.004 s
% 0.22/0.41 % (29796)Instructions burned: 3 (million)
% 0.22/0.41 % (29796)------------------------------
% 0.22/0.41 % (29796)------------------------------
% 0.22/0.41 % (29798)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.41 % (29797)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.41 % (29798)Instruction limit reached!
% 0.22/0.41 % (29798)------------------------------
% 0.22/0.41 % (29798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (29798)Termination reason: Unknown
% 0.22/0.41 % (29798)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (29798)Memory used [KB]: 1023
% 0.22/0.41 % (29798)Time elapsed: 0.005 s
% 0.22/0.41 % (29798)Instructions burned: 7 (million)
% 0.22/0.41 % (29798)------------------------------
% 0.22/0.41 % (29798)------------------------------
% 0.22/0.41 % (29795)Instruction limit reached!
% 0.22/0.41 % (29795)------------------------------
% 0.22/0.41 % (29795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (29795)Termination reason: Unknown
% 0.22/0.41 % (29795)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (29795)Memory used [KB]: 5628
% 0.22/0.41 % (29795)Time elapsed: 0.010 s
% 0.22/0.41 % (29795)Instructions burned: 15 (million)
% 0.22/0.41 % (29795)------------------------------
% 0.22/0.41 % (29795)------------------------------
% 0.22/0.42 % (29794)Instruction limit reached!
% 0.22/0.42 % (29794)------------------------------
% 0.22/0.42 % (29794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (29794)Termination reason: Unknown
% 0.22/0.42 % (29794)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (29794)Memory used [KB]: 5756
% 0.22/0.42 % (29794)Time elapsed: 0.018 s
% 0.22/0.42 % (29794)Instructions burned: 37 (million)
% 0.22/0.42 % (29794)------------------------------
% 0.22/0.42 % (29794)------------------------------
% 0.22/0.42 % (29788)Instruction limit reached!
% 0.22/0.42 % (29788)------------------------------
% 0.22/0.42 % (29788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (29788)Termination reason: Unknown
% 0.22/0.42 % (29788)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (29788)Memory used [KB]: 5628
% 0.22/0.42 % (29788)Time elapsed: 0.020 s
% 0.22/0.42 % (29788)Instructions burned: 28 (million)
% 0.22/0.42 % (29788)------------------------------
% 0.22/0.42 % (29788)------------------------------
% 0.22/0.42 % (29799)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43 % (29800)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (29800)Instruction limit reached!
% 0.22/0.43 % (29800)------------------------------
% 0.22/0.43 % (29800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (29800)Termination reason: Unknown
% 0.22/0.43 % (29800)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (29800)Memory used [KB]: 1023
% 0.22/0.43 % (29800)Time elapsed: 0.003 s
% 0.22/0.43 % (29800)Instructions burned: 5 (million)
% 0.22/0.43 % (29800)------------------------------
% 0.22/0.43 % (29800)------------------------------
% 0.22/0.43 % (29802)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.43 % (29803)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (29799)Instruction limit reached!
% 0.22/0.43 % (29799)------------------------------
% 0.22/0.43 % (29799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (29799)Termination reason: Unknown
% 0.22/0.43 % (29799)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (29799)Memory used [KB]: 5756
% 0.22/0.43 % (29799)Time elapsed: 0.014 s
% 0.22/0.43 % (29799)Instructions burned: 16 (million)
% 0.22/0.43 % (29799)------------------------------
% 0.22/0.43 % (29799)------------------------------
% 0.22/0.43 % (29801)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (29803)Instruction limit reached!
% 0.22/0.44 % (29803)------------------------------
% 0.22/0.44 % (29803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (29801)Instruction limit reached!
% 0.22/0.44 % (29801)------------------------------
% 0.22/0.44 % (29801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (29801)Termination reason: Unknown
% 0.22/0.44 % (29801)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (29801)Memory used [KB]: 1023
% 0.22/0.44 % (29801)Time elapsed: 0.003 s
% 0.22/0.44 % (29801)Instructions burned: 4 (million)
% 0.22/0.44 % (29801)------------------------------
% 0.22/0.44 % (29801)------------------------------
% 0.22/0.44 % (29803)Termination reason: Unknown
% 0.22/0.44 % (29803)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (29803)Memory used [KB]: 5500
% 0.22/0.44 % (29803)Time elapsed: 0.004 s
% 0.22/0.44 % (29803)Instructions burned: 4 (million)
% 0.22/0.44 % (29803)------------------------------
% 0.22/0.44 % (29803)------------------------------
% 0.22/0.44 % (29802)Instruction limit reached!
% 0.22/0.44 % (29802)------------------------------
% 0.22/0.44 % (29802)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (29802)Termination reason: Unknown
% 0.22/0.44 % (29802)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (29802)Memory used [KB]: 5500
% 0.22/0.44 % (29802)Time elapsed: 0.006 s
% 0.22/0.44 % (29802)Instructions burned: 8 (million)
% 0.22/0.44 % (29802)------------------------------
% 0.22/0.44 % (29802)------------------------------
% 0.22/0.44 % (29804)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.44 % (29804)Instruction limit reached!
% 0.22/0.44 % (29804)------------------------------
% 0.22/0.44 % (29804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (29804)Termination reason: Unknown
% 0.22/0.44 % (29804)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (29804)Memory used [KB]: 5500
% 0.22/0.44 % (29804)Time elapsed: 0.003 s
% 0.22/0.44 % (29804)Instructions burned: 4 (million)
% 0.22/0.44 % (29804)------------------------------
% 0.22/0.44 % (29804)------------------------------
% 0.22/0.45 % (29805)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.45 % (29808)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.45 % (29806)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.45 % (29805)Refutation not found, incomplete strategy
% 0.22/0.45 % (29805)------------------------------
% 0.22/0.45 % (29805)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (29805)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45
% 0.22/0.45
% 0.22/0.45 % (29805)Memory used [KB]: 5500
% 0.22/0.45 % (29805)Time elapsed: 0.006 s
% 0.22/0.45 % (29805)Instructions burned: 9 (million)
% 0.22/0.45 % (29805)------------------------------
% 0.22/0.45 % (29805)------------------------------
% 0.22/0.46 % (29807)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.46 % (29809)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.46 % (29807)Instruction limit reached!
% 0.22/0.46 % (29807)------------------------------
% 0.22/0.46 % (29807)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (29807)Termination reason: Unknown
% 0.22/0.46 % (29807)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (29807)Memory used [KB]: 5500
% 0.22/0.46 % (29807)Time elapsed: 0.005 s
% 0.22/0.46 % (29807)Instructions burned: 7 (million)
% 0.22/0.46 % (29807)------------------------------
% 0.22/0.46 % (29807)------------------------------
% 0.22/0.46 % (29810)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.47 % (29810)Instruction limit reached!
% 0.22/0.47 % (29810)------------------------------
% 0.22/0.47 % (29810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (29810)Termination reason: Unknown
% 0.22/0.47 % (29810)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (29810)Memory used [KB]: 5500
% 0.22/0.47 % (29810)Time elapsed: 0.003 s
% 0.22/0.47 % (29810)Instructions burned: 5 (million)
% 0.22/0.47 % (29810)------------------------------
% 0.22/0.47 % (29810)------------------------------
% 0.22/0.47 % (29809)Instruction limit reached!
% 0.22/0.47 % (29809)------------------------------
% 0.22/0.47 % (29809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (29809)Termination reason: Unknown
% 0.22/0.47 % (29809)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (29809)Memory used [KB]: 5628
% 0.22/0.47 % (29809)Time elapsed: 0.013 s
% 0.22/0.47 % (29809)Instructions burned: 22 (million)
% 0.22/0.47 % (29809)------------------------------
% 0.22/0.47 % (29809)------------------------------
% 0.22/0.47 % (29812)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.47 % (29811)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.48 % (29811)Instruction limit reached!
% 0.22/0.48 % (29811)------------------------------
% 0.22/0.48 % (29811)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (29811)Termination reason: Unknown
% 0.22/0.48 % (29811)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (29811)Memory used [KB]: 5500
% 0.22/0.48 % (29811)Time elapsed: 0.004 s
% 0.22/0.48 % (29811)Instructions burned: 7 (million)
% 0.22/0.48 % (29811)------------------------------
% 0.22/0.48 % (29811)------------------------------
% 0.22/0.48 % (29813)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.22/0.49 % (29786)Instruction limit reached!
% 0.22/0.49 % (29786)------------------------------
% 0.22/0.49 % (29786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (29786)Termination reason: Unknown
% 0.22/0.49 % (29786)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (29786)Memory used [KB]: 6396
% 0.22/0.49 % (29786)Time elapsed: 0.101 s
% 0.22/0.49 % (29786)Instructions burned: 185 (million)
% 0.22/0.49 % (29786)------------------------------
% 0.22/0.49 % (29786)------------------------------
% 0.22/0.49 % (29814)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.22/0.50 % (29814)Instruction limit reached!
% 0.22/0.50 % (29814)------------------------------
% 0.22/0.50 % (29814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (29814)Termination reason: Unknown
% 0.22/0.50 % (29814)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (29814)Memory used [KB]: 5628
% 0.22/0.50 % (29814)Time elapsed: 0.007 s
% 0.22/0.50 % (29814)Instructions burned: 19 (million)
% 0.22/0.50 % (29814)------------------------------
% 0.22/0.50 % (29814)------------------------------
% 0.22/0.50 % (29815)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)
% 0.22/0.50 % (29816)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.51 % (29816)Instruction limit reached!
% 0.22/0.51 % (29816)------------------------------
% 0.22/0.51 % (29816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (29816)Termination reason: Unknown
% 0.22/0.51 % (29816)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (29816)Memory used [KB]: 5628
% 0.22/0.51 % (29816)Time elapsed: 0.008 s
% 0.22/0.51 % (29816)Instructions burned: 17 (million)
% 0.22/0.51 % (29816)------------------------------
% 0.22/0.51 % (29816)------------------------------
% 1.21/0.52 % (29791)Instruction limit reached!
% 1.21/0.52 % (29791)------------------------------
% 1.21/0.52 % (29791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.52 % (29791)Termination reason: Unknown
% 1.21/0.52 % (29791)Termination phase: Saturation
% 1.21/0.52
% 1.21/0.52 % (29791)Memory used [KB]: 6140
% 1.21/0.52 % (29791)Time elapsed: 0.132 s
% 1.21/0.52 % (29791)Instructions burned: 275 (million)
% 1.21/0.52 % (29791)------------------------------
% 1.21/0.52 % (29791)------------------------------
% 1.21/0.52 % (29817)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.21/0.52 % (29817)Instruction limit reached!
% 1.21/0.52 % (29817)------------------------------
% 1.21/0.52 % (29817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.52 % (29817)Termination reason: Unknown
% 1.21/0.52 % (29817)Termination phase: Saturation
% 1.21/0.52
% 1.21/0.52 % (29817)Memory used [KB]: 5500
% 1.21/0.52 % (29817)Time elapsed: 0.003 s
% 1.21/0.52 % (29817)Instructions burned: 5 (million)
% 1.21/0.52 % (29817)------------------------------
% 1.21/0.52 % (29817)------------------------------
% 1.21/0.53 % (29819)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)
% 1.21/0.53 % (29818)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.39/0.55 % (29818)Instruction limit reached!
% 1.39/0.55 % (29818)------------------------------
% 1.39/0.55 % (29818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.55 % (29818)Termination reason: Unknown
% 1.39/0.55 % (29818)Termination phase: Saturation
% 1.39/0.55
% 1.39/0.55 % (29818)Memory used [KB]: 5628
% 1.39/0.55 % (29818)Time elapsed: 0.016 s
% 1.39/0.55 % (29818)Instructions burned: 31 (million)
% 1.39/0.55 % (29818)------------------------------
% 1.39/0.55 % (29818)------------------------------
% 1.39/0.55 % (29813)First to succeed.
% 1.39/0.56 % (29820)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)
% 1.39/0.56 % (29820)Refutation not found, incomplete strategy
% 1.39/0.56 % (29820)------------------------------
% 1.39/0.56 % (29820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.56 % (29820)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.56
% 1.39/0.56
% 1.39/0.56 % (29820)Memory used [KB]: 5500
% 1.39/0.56 % (29820)Time elapsed: 0.004 s
% 1.39/0.56 % (29820)Instructions burned: 5 (million)
% 1.39/0.56 % (29820)------------------------------
% 1.39/0.56 % (29820)------------------------------
% 1.39/0.56 % (29813)Refutation found. Thanks to Tanya!
% 1.39/0.56 % SZS status Theorem for theBenchmark
% 1.39/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.56 % (29813)------------------------------
% 1.39/0.56 % (29813)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.39/0.56 % (29813)Termination reason: Refutation
% 1.39/0.56
% 1.39/0.56 % (29813)Memory used [KB]: 6396
% 1.39/0.56 % (29813)Time elapsed: 0.079 s
% 1.39/0.56 % (29813)Instructions burned: 152 (million)
% 1.39/0.56 % (29813)------------------------------
% 1.39/0.56 % (29813)------------------------------
% 1.39/0.56 % (29785)Success in time 0.173 s
% 1.39/0.56 % Vampire---4.8 exiting
%------------------------------------------------------------------------------