TSTP Solution File: SEV311^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV311^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n020.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 : Mon Jun 24 16:02:45 EDT 2024
% Result : Theorem 1.47s 0.56s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 5
% Syntax : Number of formulae : 61 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 559 ( 159 equ; 0 cnn)
% Maximal formula atoms : 8 ( 9 avg)
% Number of connectives : 974 ( 77 ~; 77 |; 20 &; 625 @)
% ( 1 <=>; 111 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 134 ( 134 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 5 con; 0-2 aty)
% ( 63 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 237 ( 119 ^ 107 !; 11 ?; 237 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cF: ( a > $o ) > a > $o ).
thf(func_def_10,type,
sK0: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_11,type,
sK1: a ).
thf(func_def_12,type,
sK2: a > $o ).
thf(func_def_15,type,
ph4:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
sK5: ( a > $o ) > a ).
thf(func_def_18,type,
sK6: a > $o ).
thf(func_def_19,type,
sK7: a > $o ).
thf(f564,plain,
$false,
inference(avatar_sat_refutation,[],[f200,f563]) ).
thf(f563,plain,
spl3_10,
inference(avatar_contradiction_clause,[],[f562]) ).
thf(f562,plain,
( $false
| spl3_10 ),
inference(trivial_inequality_removal,[],[f561]) ).
thf(f561,plain,
( ( $false = $true )
| spl3_10 ),
inference(forward_demodulation,[],[f560,f292]) ).
thf(f292,plain,
( $false
= ( sK2 @ ( sK5 @ sK2 ) ) ),
inference(subsumption_resolution,[],[f288,f15]) ).
thf(f15,plain,
( $true
!= ( sK2 @ sK1 ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( ( cF @ X1 @ X2 )
!= $true )
| ( ( cF @ X0 @ X2 )
= $true ) )
| ( ( ( X1 @ ( sK0 @ X1 @ X0 ) )
= $true )
& ( ( X0 @ ( sK0 @ X1 @ X0 ) )
!= $true ) ) )
& ( $true
!= ( sK2 @ sK1 ) )
& ! [X6: a] :
( ( ( cF @ sK2 @ X6 )
!= $true )
| ( $true
= ( sK2 @ X6 ) ) )
& ( $true
= ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f8,f11,f10,f9]) ).
thf(f9,plain,
! [X0: a > $o,X1: a > $o] :
( ? [X3: a] :
( ( ( X1 @ X3 )
= $true )
& ( ( X0 @ X3 )
!= $true ) )
=> ( ( ( X1 @ ( sK0 @ X1 @ X0 ) )
= $true )
& ( ( X0 @ ( sK0 @ X1 @ X0 ) )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X4: a] :
( ? [X5: a > $o] :
( ( $true
!= ( X5 @ X4 ) )
& ! [X6: a] :
( ( ( cF @ X5 @ X6 )
!= $true )
| ( $true
= ( X5 @ X6 ) ) ) )
& ( ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X4 )
= $true ) )
=> ( ? [X5: a > $o] :
( ( $true
!= ( X5 @ sK1 ) )
& ! [X6: a] :
( ( ( cF @ X5 @ X6 )
!= $true )
| ( $true
= ( X5 @ X6 ) ) ) )
& ( $true
= ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK1 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X5: a > $o] :
( ( $true
!= ( X5 @ sK1 ) )
& ! [X6: a] :
( ( ( cF @ X5 @ X6 )
!= $true )
| ( $true
= ( X5 @ X6 ) ) ) )
=> ( ( $true
!= ( sK2 @ sK1 ) )
& ! [X6: a] :
( ( ( cF @ sK2 @ X6 )
!= $true )
| ( $true
= ( sK2 @ X6 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( ( cF @ X1 @ X2 )
!= $true )
| ( ( cF @ X0 @ X2 )
= $true ) )
| ? [X3: a] :
( ( ( X1 @ X3 )
= $true )
& ( ( X0 @ X3 )
!= $true ) ) )
& ? [X4: a] :
( ? [X5: a > $o] :
( ( $true
!= ( X5 @ X4 ) )
& ! [X6: a] :
( ( ( cF @ X5 @ X6 )
!= $true )
| ( $true
= ( X5 @ X6 ) ) ) )
& ( ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X4 )
= $true ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
( ! [X0: a > $o,X1: a > $o] :
( ! [X3: a] :
( ( ( cF @ X1 @ X3 )
!= $true )
| ( ( cF @ X0 @ X3 )
= $true ) )
| ? [X2: a] :
( ( ( X1 @ X2 )
= $true )
& ( ( X0 @ X2 )
!= $true ) ) )
& ? [X4: a] :
( ? [X5: a > $o] :
( ( $true
!= ( X5 @ X4 ) )
& ! [X6: a] :
( ( ( cF @ X5 @ X6 )
!= $true )
| ( $true
= ( X5 @ X6 ) ) ) )
& ( ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X4 )
= $true ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( ( X1 @ X2 )
= $true )
=> ( ( X0 @ X2 )
= $true ) )
=> ! [X3: a] :
( ( ( cF @ X1 @ X3 )
= $true )
=> ( ( cF @ X0 @ X3 )
= $true ) ) )
=> ! [X4: a] :
( ( ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X4 )
= $true )
=> ! [X5: a > $o] :
( ! [X6: a] :
( ( ( cF @ X5 @ X6 )
= $true )
=> ( $true
= ( X5 @ X6 ) ) )
=> ( $true
= ( X5 @ X4 ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( ( X1 @ X2 )
= $true )
=> ( ( X0 @ X2 )
= $true ) )
=> ! [X3: a] :
( ( ( cF @ X1 @ X3 )
= $true )
=> ( ( cF @ X0 @ X3 )
= $true ) ) )
=> ! [X4: a] :
( ( ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X4 )
= $true )
=> ! [X8: a > $o] :
( ! [X9: a] :
( ( ( cF @ X8 @ X9 )
= $true )
=> ( ( X8 @ X9 )
= $true ) )
=> ( ( X8 @ X4 )
= $true ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X1 @ X2 )
=> ( X0 @ X2 ) )
=> ! [X3: a] :
( ( cF @ X1 @ X3 )
=> ( cF @ X0 @ X3 ) ) )
=> ! [X4: a] :
( ( cF
@ ^ [X5: a] :
! [X6: a > $o] :
( ! [X7: a] :
( ( cF @ X6 @ X7 )
=> ( X6 @ X7 ) )
=> ( X6 @ X5 ) )
@ X4 )
=> ! [X8: a > $o] :
( ! [X9: a] :
( ( cF @ X8 @ X9 )
=> ( X8 @ X9 ) )
=> ( X8 @ X4 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X1: a > $o,X0: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: a] :
( ( cF @ X0 @ X2 )
=> ( cF @ X1 @ X2 ) ) )
=> ! [X2: a] :
( ( cF
@ ^ [X3: a] :
! [X4: a > $o] :
( ! [X5: a] :
( ( cF @ X4 @ X5 )
=> ( X4 @ X5 ) )
=> ( X4 @ X3 ) )
@ X2 )
=> ! [X4: a > $o] :
( ! [X3: a] :
( ( cF @ X4 @ X3 )
=> ( X4 @ X3 ) )
=> ( X4 @ X2 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ! [X1: a > $o,X0: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: a] :
( ( cF @ X0 @ X2 )
=> ( cF @ X1 @ X2 ) ) )
=> ! [X2: a] :
( ( cF
@ ^ [X3: a] :
! [X4: a > $o] :
( ! [X5: a] :
( ( cF @ X4 @ X5 )
=> ( X4 @ X5 ) )
=> ( X4 @ X3 ) )
@ X2 )
=> ! [X4: a > $o] :
( ! [X3: a] :
( ( cF @ X4 @ X3 )
=> ( X4 @ X3 ) )
=> ( X4 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM521_pme) ).
thf(f288,plain,
( ( $false
= ( sK2 @ ( sK5 @ sK2 ) ) )
| ( $true
= ( sK2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f283]) ).
thf(f283,plain,
( ( $true
= ( sK2 @ sK1 ) )
| ( $false
= ( sK2 @ ( sK5 @ sK2 ) ) )
| ( $true != $true ) ),
inference(superposition,[],[f14,f231]) ).
thf(f231,plain,
! [X0: a > $o] :
( ( $true
= ( cF @ X0 @ sK1 ) )
| ( $false
= ( X0 @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f230]) ).
thf(f230,plain,
! [X0: a > $o] :
( ( $true
= ( cF @ X0 @ sK1 ) )
| ( $false = $true )
| ( $false
= ( X0 @ ( sK5 @ X0 ) ) ) ),
inference(duplicate_literal_removal,[],[f206]) ).
thf(f206,plain,
! [X0: a > $o] :
( ( $true
= ( cF @ X0 @ sK1 ) )
| ( $false
= ( X0 @ ( sK5 @ X0 ) ) )
| ( $true
= ( cF @ X0 @ sK1 ) )
| ( $false = $true ) ),
inference(superposition,[],[f142,f36]) ).
thf(f36,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true
= ( X1
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) )
| ( $false
= ( X1 @ ( sK5 @ X1 ) ) )
| ( $true
= ( cF @ X0 @ sK1 ) ) ),
inference(binary_proxy_clausification,[],[f35]) ).
thf(f35,plain,
! [X0: a > $o,X1: a > $o] :
( ( $false
= ( ( cF @ X1 @ ( sK5 @ X1 ) )
=> ( X1 @ ( sK5 @ X1 ) ) ) )
| ( $true
= ( cF @ X0 @ sK1 ) )
| ( $true
= ( X1
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) ) ),
inference(beta_eta_normalization,[],[f34]) ).
thf(f34,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true
= ( X1
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) )
| ( $false
= ( ^ [Y0: a] :
( ( cF @ X1 @ Y0 )
=> ( X1 @ Y0 ) )
@ ( sK5 @ X1 ) ) )
| ( $true
= ( cF @ X0 @ sK1 ) ) ),
inference(sigma_clausification,[],[f33]) ).
thf(f33,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true
= ( X1
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( cF @ X1 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false )
| ( $true
= ( cF @ X0 @ sK1 ) ) ),
inference(binary_proxy_clausification,[],[f32]) ).
thf(f32,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true
= ( cF @ X0 @ sK1 ) )
| ( ( ( !! @ a
@ ^ [Y0: a] :
( ( cF @ X1 @ Y0 )
=> ( X1 @ Y0 ) ) )
=> ( X1
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f31]) ).
thf(f31,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true
= ( cF @ X0 @ sK1 ) )
| ( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0
@ ( sK0
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ X0 ) ) )
@ X1 )
= $true ) ),
inference(pi_clausification,[],[f30]) ).
thf(f30,plain,
! [X0: a > $o] :
( ( $true
= ( cF @ X0 @ sK1 ) )
| ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0
@ ( sK0
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ X0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f29]) ).
thf(f29,plain,
! [X0: a > $o] :
( ( $true
= ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) )
| ( $true
= ( cF @ X0 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f27]) ).
thf(f27,plain,
! [X0: a > $o] :
( ( $true
= ( cF @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) ) ),
inference(superposition,[],[f17,f13]) ).
thf(f13,plain,
( $true
= ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK1 ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f17,plain,
! [X2: a,X0: a > $o,X1: a > $o] :
( ( ( cF @ X1 @ X2 )
!= $true )
| ( ( X1 @ ( sK0 @ X1 @ X0 ) )
= $true )
| ( ( cF @ X0 @ X2 )
= $true ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f142,plain,
! [X3: a > $o] :
( ( $false
= ( X3
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X3 ) ) )
| ( ( cF @ X3 @ sK1 )
= $true ) ),
inference(not_proxy_clausification,[],[f141]) ).
thf(f141,plain,
! [X3: a > $o] :
( ( ( ~ ( X3
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X3 ) ) )
= $true )
| ( ( cF @ X3 @ sK1 )
= $true ) ),
inference(beta_eta_normalization,[],[f140]) ).
thf(f140,plain,
! [X3: a > $o] :
( ( $true
= ( ~ ( X3
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ^ [Y0: a] : ( X3 @ Y0 ) ) ) ) )
| ( ( cF @ X3 @ sK1 )
= $true ) ),
inference(boolean_simplification,[],[f139]) ).
thf(f139,plain,
! [X3: a > $o] :
( ( ( cF @ X3 @ sK1 )
= $true )
| ( ( ~ ( X3
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ^ [Y0: a] :
~ ~ ( X3 @ Y0 ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f138]) ).
thf(f138,plain,
! [X3: a > $o] :
( ( ( cF
@ ^ [Y0: a] : ( X3 @ Y0 )
@ sK1 )
= $true )
| ( ( ~ ( X3
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ^ [Y0: a] :
~ ~ ( X3 @ Y0 ) ) ) )
= $true ) ),
inference(boolean_simplification,[],[f137]) ).
thf(f137,plain,
! [X3: a > $o] :
( ( ( cF
@ ^ [Y0: a] :
~ ~ ( X3 @ Y0 )
@ sK1 )
= $true )
| ( ( ~ ( X3
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ^ [Y0: a] :
~ ~ ( X3 @ Y0 ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f124]) ).
thf(f124,plain,
! [X3: a > $o] :
( ( ( ^ [Y0: a] :
~ ( X3 @ Y0 )
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ^ [Y0: a] :
~ ( ^ [Y1: a] :
~ ( X3 @ Y1 )
@ Y0 ) ) )
= $true )
| ( $true
= ( cF
@ ^ [Y0: a] :
~ ( ^ [Y1: a] :
~ ( X3 @ Y1 )
@ Y0 )
@ sK1 ) ) ),
inference(primitive_instantiation,[],[f39]) ).
thf(f39,plain,
! [X0: a > $o] :
( ( ( X0
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ^ [Y0: a] :
~ ( X0 @ Y0 ) ) )
= $true )
| ( $true
= ( cF
@ ^ [Y0: a] :
~ ( X0 @ Y0 )
@ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f26]) ).
thf(f26,plain,
! [X0: a > $o] :
( ( $true
= ( cF
@ ^ [Y0: a] :
~ ( X0 @ Y0 )
@ sK1 ) )
| ( $true != $true )
| ( ( X0
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ^ [Y0: a] :
~ ( X0 @ Y0 ) ) )
= $true ) ),
inference(superposition,[],[f22,f13]) ).
thf(f22,plain,
! [X2: a,X1: a > $o,X5: a > $o] :
( ( ( cF @ X1 @ X2 )
!= $true )
| ( ( cF
@ ^ [Y0: a] :
~ ( X5 @ Y0 )
@ X2 )
= $true )
| ( ( X5
@ ( sK0 @ X1
@ ^ [Y0: a] :
~ ( X5 @ Y0 ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f21]) ).
thf(f21,plain,
! [X2: a,X1: a > $o,X5: a > $o] :
( ( $true
!= ( ~ ( X5
@ ( sK0 @ X1
@ ^ [Y0: a] :
~ ( X5 @ Y0 ) ) ) ) )
| ( ( cF @ X1 @ X2 )
!= $true )
| ( ( cF
@ ^ [Y0: a] :
~ ( X5 @ Y0 )
@ X2 )
= $true ) ),
inference(beta_eta_normalization,[],[f20]) ).
thf(f20,plain,
! [X2: a,X1: a > $o,X5: a > $o] :
( ( ( cF
@ ^ [Y0: a] :
~ ( X5 @ Y0 )
@ X2 )
= $true )
| ( ( cF @ X1 @ X2 )
!= $true )
| ( ( ^ [Y0: a] :
~ ( X5 @ Y0 )
@ ( sK0 @ X1
@ ^ [Y0: a] :
~ ( X5 @ Y0 ) ) )
!= $true ) ),
inference(primitive_instantiation,[],[f16]) ).
thf(f16,plain,
! [X2: a,X0: a > $o,X1: a > $o] :
( ( ( X0 @ ( sK0 @ X1 @ X0 ) )
!= $true )
| ( ( cF @ X1 @ X2 )
!= $true )
| ( ( cF @ X0 @ X2 )
= $true ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f14,plain,
! [X6: a] :
( ( ( cF @ sK2 @ X6 )
!= $true )
| ( $true
= ( sK2 @ X6 ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f560,plain,
( ( ( sK2 @ ( sK5 @ sK2 ) )
= $true )
| spl3_10 ),
inference(subsumption_resolution,[],[f558,f185]) ).
thf(f185,plain,
( ( $true
!= ( cF @ sK2 @ sK1 ) )
| spl3_10 ),
inference(avatar_component_clause,[],[f184]) ).
thf(f184,plain,
( spl3_10
<=> ( $true
= ( cF @ sK2 @ sK1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
thf(f558,plain,
( ( ( sK2 @ ( sK5 @ sK2 ) )
= $true )
| ( $true
= ( cF @ sK2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f551]) ).
thf(f551,plain,
( ( $true
= ( cF @ sK2 @ sK1 ) )
| ( ( sK2 @ ( sK5 @ sK2 ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f14,f227]) ).
thf(f227,plain,
! [X0: a > $o] :
( ( $true
= ( cF @ X0 @ ( sK5 @ X0 ) ) )
| ( $true
= ( cF @ X0 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f226]) ).
thf(f226,plain,
! [X0: a > $o] :
( ( $true
= ( cF @ X0 @ sK1 ) )
| ( $true
= ( cF @ X0 @ ( sK5 @ X0 ) ) )
| ( $false = $true ) ),
inference(duplicate_literal_removal,[],[f205]) ).
thf(f205,plain,
! [X0: a > $o] :
( ( $false = $true )
| ( $true
= ( cF @ X0 @ sK1 ) )
| ( $true
= ( cF @ X0 @ ( sK5 @ X0 ) ) )
| ( $true
= ( cF @ X0 @ sK1 ) ) ),
inference(superposition,[],[f142,f37]) ).
thf(f37,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true
= ( X1
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) )
| ( ( cF @ X1 @ ( sK5 @ X1 ) )
= $true )
| ( $true
= ( cF @ X0 @ sK1 ) ) ),
inference(binary_proxy_clausification,[],[f35]) ).
thf(f200,plain,
~ spl3_10,
inference(avatar_contradiction_clause,[],[f199]) ).
thf(f199,plain,
( $false
| ~ spl3_10 ),
inference(subsumption_resolution,[],[f197,f15]) ).
thf(f197,plain,
( ( $true
= ( sK2 @ sK1 ) )
| ~ spl3_10 ),
inference(trivial_inequality_removal,[],[f191]) ).
thf(f191,plain,
( ( $true
= ( sK2 @ sK1 ) )
| ( $true != $true )
| ~ spl3_10 ),
inference(superposition,[],[f14,f186]) ).
thf(f186,plain,
( ( $true
= ( cF @ sK2 @ sK1 ) )
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV311^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 21 18:51:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.21/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.21/0.35 Running higher-order theorem proving
% 0.21/0.35 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.21/0.37 % (2417)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.37 % (2413)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)
% 0.21/0.37 % (2414)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37 % (2412)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)
% 0.21/0.37 % (2415)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)
% 0.21/0.37 % (2416)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)
% 0.21/0.37 % (2411)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.38 % (2414)Instruction limit reached!
% 0.21/0.38 % (2414)------------------------------
% 0.21/0.38 % (2414)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38 % (2414)Termination reason: Unknown
% 0.21/0.38 % (2414)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (2414)Memory used [KB]: 5500
% 0.21/0.38 % (2414)Time elapsed: 0.004 s
% 0.21/0.38 % (2414)Instructions burned: 2 (million)
% 0.21/0.38 % (2414)------------------------------
% 0.21/0.38 % (2414)------------------------------
% 0.21/0.38 % (2415)Instruction limit reached!
% 0.21/0.38 % (2415)------------------------------
% 0.21/0.38 % (2415)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38 % (2415)Termination reason: Unknown
% 0.21/0.38 % (2415)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (2415)Memory used [KB]: 5500
% 0.21/0.38 % (2415)Time elapsed: 0.004 s
% 0.21/0.38 % (2415)Instructions burned: 2 (million)
% 0.21/0.38 % (2415)------------------------------
% 0.21/0.38 % (2415)------------------------------
% 0.21/0.38 % (2412)Instruction limit reached!
% 0.21/0.38 % (2412)------------------------------
% 0.21/0.38 % (2412)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38 % (2412)Termination reason: Unknown
% 0.21/0.38 % (2412)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (2412)Memory used [KB]: 5500
% 0.21/0.38 % (2412)Time elapsed: 0.006 s
% 0.21/0.38 % (2412)Instructions burned: 4 (million)
% 0.21/0.38 % (2412)------------------------------
% 0.21/0.38 % (2412)------------------------------
% 0.21/0.38 % (2417)Instruction limit reached!
% 0.21/0.38 % (2417)------------------------------
% 0.21/0.38 % (2417)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38 % (2417)Termination reason: Unknown
% 0.21/0.38 % (2417)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (2417)Memory used [KB]: 5628
% 0.21/0.38 % (2417)Time elapsed: 0.012 s
% 0.21/0.38 % (2417)Instructions burned: 18 (million)
% 0.21/0.38 % (2417)------------------------------
% 0.21/0.38 % (2417)------------------------------
% 0.21/0.39 % (2413)Instruction limit reached!
% 0.21/0.39 % (2413)------------------------------
% 0.21/0.39 % (2413)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (2413)Termination reason: Unknown
% 0.21/0.39 % (2413)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (2413)Memory used [KB]: 5628
% 0.21/0.39 % (2413)Time elapsed: 0.020 s
% 0.21/0.39 % (2418)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)
% 0.21/0.39 % (2413)Instructions burned: 27 (million)
% 0.21/0.39 % (2413)------------------------------
% 0.21/0.39 % (2413)------------------------------
% 0.21/0.39 % (2419)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)
% 0.21/0.39 % (2420)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)
% 0.21/0.39 % (2418)Instruction limit reached!
% 0.21/0.39 % (2418)------------------------------
% 0.21/0.39 % (2418)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (2418)Termination reason: Unknown
% 0.21/0.39 % (2418)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (2418)Memory used [KB]: 5500
% 0.21/0.39 % (2418)Time elapsed: 0.005 s
% 0.21/0.39 % (2418)Instructions burned: 3 (million)
% 0.21/0.40 % (2418)------------------------------
% 0.21/0.40 % (2418)------------------------------
% 0.21/0.40 % (2421)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)
% 0.21/0.40 % (2421)Instruction limit reached!
% 0.21/0.40 % (2421)------------------------------
% 0.21/0.40 % (2421)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (2421)Termination reason: Unknown
% 0.21/0.40 % (2421)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (2421)Memory used [KB]: 5500
% 0.21/0.40 % (2421)Time elapsed: 0.005 s
% 0.21/0.40 % (2421)Instructions burned: 3 (million)
% 0.21/0.40 % (2421)------------------------------
% 0.21/0.40 % (2421)------------------------------
% 0.21/0.40 % (2420)Instruction limit reached!
% 0.21/0.40 % (2420)------------------------------
% 0.21/0.40 % (2420)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (2420)Termination reason: Unknown
% 0.21/0.40 % (2420)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (2420)Memory used [KB]: 5628
% 0.21/0.40 % (2420)Time elapsed: 0.013 s
% 0.21/0.40 % (2420)Instructions burned: 16 (million)
% 0.21/0.40 % (2420)------------------------------
% 0.21/0.40 % (2420)------------------------------
% 0.21/0.41 % (2422)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)
% 0.21/0.41 % (2423)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (2419)Instruction limit reached!
% 0.21/0.41 % (2419)------------------------------
% 0.21/0.41 % (2419)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (2419)Termination reason: Unknown
% 0.21/0.41 % (2419)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (2419)Memory used [KB]: 6140
% 0.21/0.41 % (2419)Time elapsed: 0.022 s
% 0.21/0.41 % (2419)Instructions burned: 37 (million)
% 0.21/0.41 % (2419)------------------------------
% 0.21/0.41 % (2419)------------------------------
% 0.21/0.42 % (2423)Instruction limit reached!
% 0.21/0.42 % (2423)------------------------------
% 0.21/0.42 % (2423)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (2423)Termination reason: Unknown
% 0.21/0.42 % (2423)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (2423)Memory used [KB]: 1023
% 0.21/0.42 % (2423)Time elapsed: 0.007 s
% 0.21/0.42 % (2423)Instructions burned: 7 (million)
% 0.21/0.42 % (2423)------------------------------
% 0.21/0.42 % (2423)------------------------------
% 0.21/0.42 % (2424)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (2425)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)
% 0.21/0.42 % (2425)Instruction limit reached!
% 0.21/0.42 % (2425)------------------------------
% 0.21/0.42 % (2425)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (2425)Termination reason: Unknown
% 0.21/0.42 % (2425)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (2425)Memory used [KB]: 1023
% 0.21/0.42 % (2425)Time elapsed: 0.004 s
% 0.21/0.42 % (2425)Instructions burned: 3 (million)
% 0.21/0.42 % (2425)------------------------------
% 0.21/0.42 % (2425)------------------------------
% 0.21/0.43 % (2426)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)
% 0.21/0.43 % (2424)Instruction limit reached!
% 0.21/0.43 % (2424)------------------------------
% 0.21/0.43 % (2424)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (2424)Termination reason: Unknown
% 0.21/0.43 % (2424)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (2424)Memory used [KB]: 5756
% 0.21/0.43 % (2424)Time elapsed: 0.014 s
% 0.21/0.43 % (2424)Instructions burned: 16 (million)
% 0.21/0.43 % (2424)------------------------------
% 0.21/0.43 % (2424)------------------------------
% 0.21/0.43 % (2426)Instruction limit reached!
% 0.21/0.43 % (2426)------------------------------
% 0.21/0.43 % (2426)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (2426)Termination reason: Unknown
% 0.21/0.43 % (2426)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (2426)Memory used [KB]: 1023
% 0.21/0.43 % (2426)Time elapsed: 0.004 s
% 0.21/0.43 % (2426)Instructions burned: 3 (million)
% 0.21/0.43 % (2426)------------------------------
% 0.21/0.43 % (2426)------------------------------
% 0.21/0.43 % (2427)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 % (2427)Refutation not found, incomplete strategy
% 0.22/0.43 % (2427)------------------------------
% 0.22/0.43 % (2427)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (2427)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 % (2427)Memory used [KB]: 5500
% 0.22/0.43 % (2427)Time elapsed: 0.005 s
% 0.22/0.43 % (2427)Instructions burned: 4 (million)
% 0.22/0.43 % (2427)------------------------------
% 0.22/0.43 % (2427)------------------------------
% 0.22/0.44 % (2428)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)
% 0.22/0.44 % (2428)Instruction limit reached!
% 0.22/0.44 % (2428)------------------------------
% 0.22/0.44 % (2428)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (2428)Termination reason: Unknown
% 0.22/0.44 % (2428)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (2428)Memory used [KB]: 5500
% 0.22/0.44 % (2428)Time elapsed: 0.005 s
% 0.22/0.44 % (2428)Instructions burned: 4 (million)
% 0.22/0.44 % (2428)------------------------------
% 0.22/0.44 % (2428)------------------------------
% 0.22/0.45 % (2429)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.45 % (2430)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 % (2429)Instruction limit reached!
% 0.22/0.45 % (2429)------------------------------
% 0.22/0.45 % (2429)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (2429)Termination reason: Unknown
% 0.22/0.45 % (2429)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (2429)Memory used [KB]: 5500
% 0.22/0.45 % (2429)Time elapsed: 0.005 s
% 0.22/0.45 % (2429)Instructions burned: 4 (million)
% 0.22/0.45 % (2429)------------------------------
% 0.22/0.45 % (2429)------------------------------
% 0.22/0.45 % (2431)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.46 % (2432)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.46 % (2430)Instruction limit reached!
% 0.22/0.46 % (2430)------------------------------
% 0.22/0.46 % (2430)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (2430)Termination reason: Unknown
% 0.22/0.46 % (2430)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (2430)Memory used [KB]: 5628
% 0.22/0.46 % (2430)Time elapsed: 0.015 s
% 0.22/0.46 % (2430)Instructions burned: 18 (million)
% 0.22/0.46 % (2430)------------------------------
% 0.22/0.46 % (2430)------------------------------
% 0.22/0.46 % (2432)Instruction limit reached!
% 0.22/0.46 % (2432)------------------------------
% 0.22/0.46 % (2432)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (2432)Termination reason: Unknown
% 0.22/0.46 % (2432)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (2432)Memory used [KB]: 5500
% 0.22/0.46 % (2432)Time elapsed: 0.007 s
% 0.22/0.46 % (2432)Instructions burned: 6 (million)
% 0.22/0.46 % (2432)------------------------------
% 0.22/0.46 % (2432)------------------------------
% 0.22/0.46 % (2433)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)
% 0.22/0.47 % (2434)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)
% 0.22/0.48 % (2435)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.48 % (2435)Instruction limit reached!
% 0.22/0.48 % (2435)------------------------------
% 0.22/0.48 % (2435)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (2435)Termination reason: Unknown
% 0.22/0.48 % (2435)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (2435)Memory used [KB]: 5500
% 0.22/0.48 % (2435)Time elapsed: 0.005 s
% 0.22/0.48 % (2435)Instructions burned: 5 (million)
% 0.22/0.48 % (2435)------------------------------
% 0.22/0.48 % (2435)------------------------------
% 0.22/0.48 % (2434)Instruction limit reached!
% 0.22/0.48 % (2434)------------------------------
% 0.22/0.48 % (2434)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (2434)Termination reason: Unknown
% 0.22/0.48 % (2434)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (2434)Memory used [KB]: 5628
% 0.22/0.48 % (2434)Time elapsed: 0.011 s
% 0.22/0.48 % (2434)Instructions burned: 21 (million)
% 0.22/0.48 % (2434)------------------------------
% 0.22/0.48 % (2434)------------------------------
% 0.22/0.48 % (2411)Instruction limit reached!
% 0.22/0.48 % (2411)------------------------------
% 0.22/0.48 % (2411)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (2411)Termination reason: Unknown
% 0.22/0.48 % (2411)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (2411)Memory used [KB]: 6780
% 0.22/0.48 % (2411)Time elapsed: 0.111 s
% 0.22/0.48 % (2411)Instructions burned: 185 (million)
% 0.22/0.48 % (2411)------------------------------
% 0.22/0.48 % (2411)------------------------------
% 0.22/0.49 % (2436)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 (2998ds/6Mi)
% 0.22/0.49 % (2437)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.49 % (2438)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 (2998ds/779Mi)
% 0.22/0.49 % (2436)Instruction limit reached!
% 0.22/0.49 % (2436)------------------------------
% 0.22/0.49 % (2436)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (2436)Termination reason: Unknown
% 0.22/0.49 % (2436)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (2436)Memory used [KB]: 5500
% 0.22/0.49 % (2436)Time elapsed: 0.004 s
% 0.22/0.49 % (2436)Instructions burned: 6 (million)
% 0.22/0.49 % (2436)------------------------------
% 0.22/0.49 % (2436)------------------------------
% 0.22/0.50 % (2439)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 (2998ds/19Mi)
% 0.22/0.51 % (2416)Instruction limit reached!
% 0.22/0.51 % (2416)------------------------------
% 0.22/0.51 % (2416)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.51 % (2416)Termination reason: Unknown
% 0.22/0.51 % (2416)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (2416)Memory used [KB]: 6140
% 0.22/0.51 % (2416)Time elapsed: 0.136 s
% 0.22/0.51 % (2416)Instructions burned: 276 (million)
% 0.22/0.51 % (2416)------------------------------
% 0.22/0.51 % (2416)------------------------------
% 0.22/0.51 % (2439)Instruction limit reached!
% 0.22/0.51 % (2439)------------------------------
% 0.22/0.51 % (2439)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.51 % (2439)Termination reason: Unknown
% 0.22/0.51 % (2439)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (2439)Memory used [KB]: 5628
% 0.22/0.51 % (2439)Time elapsed: 0.009 s
% 0.22/0.51 % (2439)Instructions burned: 20 (million)
% 0.22/0.51 % (2439)------------------------------
% 0.22/0.51 % (2439)------------------------------
% 0.22/0.52 % (2440)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)
% 0.22/0.52 % (2441)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.53 % (2441)Instruction limit reached!
% 0.22/0.53 % (2441)------------------------------
% 0.22/0.53 % (2441)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.53 % (2441)Termination reason: Unknown
% 0.22/0.53 % (2441)Termination phase: Saturation
% 0.22/0.53
% 0.22/0.53 % (2441)Memory used [KB]: 5628
% 0.22/0.53 % (2441)Time elapsed: 0.030 s
% 0.22/0.53 % (2441)Instructions burned: 17 (million)
% 0.22/0.53 % (2441)------------------------------
% 0.22/0.53 % (2441)------------------------------
% 0.22/0.54 % (2442)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.54 % (2442)Instruction limit reached!
% 0.22/0.54 % (2442)------------------------------
% 0.22/0.54 % (2442)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.54 % (2442)Termination reason: Unknown
% 0.22/0.54 % (2442)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (2442)Memory used [KB]: 1023
% 0.22/0.54 % (2442)Time elapsed: 0.003 s
% 0.22/0.54 % (2442)Instructions burned: 3 (million)
% 0.22/0.54 % (2442)------------------------------
% 0.22/0.54 % (2442)------------------------------
% 0.22/0.55 % (2443)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.47/0.56 % (2440)First to succeed.
% 1.47/0.56 % (2440)Refutation found. Thanks to Tanya!
% 1.47/0.56 % SZS status Theorem for theBenchmark
% 1.47/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.56 % (2440)------------------------------
% 1.47/0.56 % (2440)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.47/0.56 % (2440)Termination reason: Refutation
% 1.47/0.56
% 1.47/0.56 % (2440)Memory used [KB]: 5884
% 1.47/0.56 % (2440)Time elapsed: 0.042 s
% 1.47/0.56 % (2440)Instructions burned: 108 (million)
% 1.47/0.56 % (2440)------------------------------
% 1.47/0.56 % (2440)------------------------------
% 1.47/0.56 % (2410)Success in time 0.185 s
%------------------------------------------------------------------------------