TSTP Solution File: SEV138^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV138^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 : Sun May 5 09:41:29 EDT 2024
% Result : Theorem 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 12
% Syntax : Number of formulae : 81 ( 67 unt; 11 typ; 0 def)
% Number of atoms : 520 ( 66 equ; 0 cnn)
% Maximal formula atoms : 1 ( 7 avg)
% Number of connectives : 1631 ( 9 ~; 0 |; 151 &;1028 @)
% ( 0 <=>; 215 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 133 ( 133 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 9 con; 0-2 aty)
% ( 228 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 299 ( 240 ^ 58 !; 0 ?; 299 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_16,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
sK2: a ).
thf(func_def_18,type,
sK3: a ).
thf(func_def_19,type,
sK4: a > a > $o ).
thf(func_def_20,type,
sK5: a ).
thf(func_def_21,type,
sK6: a > $o ).
thf(func_def_22,type,
sK7: a ).
thf(func_def_23,type,
sK8: a ).
thf(func_def_24,type,
sK9: a ).
thf(f184,plain,
$false,
inference(trivial_inequality_removal,[],[f183]) ).
thf(f183,plain,
$true = $false,
inference(forward_demodulation,[],[f182,f153]) ).
thf(f153,plain,
( $false
= ( sK6 @ sK9 ) ),
inference(boolean_simplification,[],[f152]) ).
thf(f152,plain,
( $false
= ( $true
=> ( sK6 @ sK9 ) ) ),
inference(backward_demodulation,[],[f141,f151]) ).
thf(f151,plain,
( ( ( sK4 @ sK8 @ sK9 )
& ( sK6 @ sK8 ) )
= $true ),
inference(binary_proxy_clausification,[],[f141]) ).
thf(f141,plain,
( ( ( ( sK4 @ sK8 @ sK9 )
& ( sK6 @ sK8 ) )
=> ( sK6 @ sK9 ) )
= $false ),
inference(beta_eta_normalization,[],[f140]) ).
thf(f140,plain,
( $false
= ( ^ [Y0: a] :
( ( ( sK4 @ sK8 @ Y0 )
& ( sK6 @ sK8 ) )
=> ( sK6 @ Y0 ) )
@ sK9 ) ),
inference(sigma_clausification,[],[f134]) ).
thf(f134,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK4 @ sK8 @ Y0 )
& ( sK6 @ sK8 ) )
=> ( sK6 @ Y0 ) ) ) ),
inference(beta_eta_normalization,[],[f132]) ).
thf(f132,plain,
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ Y0 @ Y1 )
& ( sK6 @ Y0 ) )
=> ( sK6 @ Y1 ) ) )
@ sK8 )
= $false ),
inference(sigma_clausification,[],[f117]) ).
thf(f117,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ Y0 @ Y1 )
& ( sK6 @ Y0 ) )
=> ( sK6 @ Y1 ) ) ) ) ),
inference(not_proxy_clausification,[],[f116]) ).
thf(f116,plain,
( ( ~ ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ Y0 @ Y1 )
& ( sK6 @ Y0 ) )
=> ( sK6 @ Y1 ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f114]) ).
thf(f114,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ Y0 @ Y1 )
& ( sK6 @ Y0 ) )
=> ( sK6 @ Y1 ) ) ) )
=> $false )
= $true ),
inference(backward_demodulation,[],[f63,f112]) ).
thf(f112,plain,
( ( sK6 @ sK3 )
= $false ),
inference(not_proxy_clausification,[],[f111]) ).
thf(f111,plain,
( $true
= ( ~ ( sK6 @ sK3 ) ) ),
inference(boolean_simplification,[],[f110]) ).
thf(f110,plain,
( $true
= ( ( sK6 @ sK3 )
=> $false ) ),
inference(forward_demodulation,[],[f99,f75]) ).
thf(f75,plain,
( $false
= ( sK6 @ sK7 ) ),
inference(boolean_simplification,[],[f74]) ).
thf(f74,plain,
( ( $true
=> ( sK6 @ sK7 ) )
= $false ),
inference(backward_demodulation,[],[f69,f73]) ).
thf(f73,plain,
( ( sK4 @ sK3 @ sK7 )
= $true ),
inference(binary_proxy_clausification,[],[f69]) ).
thf(f69,plain,
( $false
= ( ( sK4 @ sK3 @ sK7 )
=> ( sK6 @ sK7 ) ) ),
inference(beta_eta_normalization,[],[f67]) ).
thf(f67,plain,
( ( ^ [Y0: a] :
( ( sK4 @ sK3 @ Y0 )
=> ( sK6 @ Y0 ) )
@ sK7 )
= $false ),
inference(sigma_clausification,[],[f64]) ).
thf(f64,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK3 @ Y0 )
=> ( sK6 @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f46]) ).
thf(f46,plain,
( $true
= ( ~ ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK3 @ Y0 )
=> ( sK6 @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f45]) ).
thf(f45,plain,
( ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK3 @ Y0 )
=> ( sK6 @ Y0 ) ) )
& $true ) )
= $true ),
inference(forward_demodulation,[],[f44,f38]) ).
thf(f38,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ Y0 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK6 @ Y1 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f27,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK2 @ Y0 )
=> ( sK6 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ Y0 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK6 @ Y1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f25,plain,
( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK2 @ Y0 )
=> ( sK6 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ Y0 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK6 @ Y1 ) ) ) ) )
=> ( sK6 @ sK5 ) ) ),
inference(beta_eta_normalization,[],[f24]) ).
thf(f24,plain,
( ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK5 ) )
@ sK6 )
= $false ),
inference(sigma_clausification,[],[f18]) ).
thf(f18,plain,
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK5 ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( $false
= ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ sK3 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK5 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK3 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK5 ) ) ) ) ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,plain,
( ( ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ sK3 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK4 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK4 @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ sK3 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK4 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
@ sK5 )
= $false ),
inference(sigma_clausification,[],[f15]) ).
thf(f15,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ sK3 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK4 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK4 @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ sK3 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( sK4 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK4 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f14]) ).
thf(f14,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ sK3 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( Y0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ sK3 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( Y0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y1 ) ) ) ) )
@ sK4 ) ),
inference(sigma_clausification,[],[f13]) ).
thf(f13,plain,
( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ sK3 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( Y0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ sK3 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( Y0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y1 ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f12]) ).
thf(f12,plain,
( ( ^ [Y0: a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y0 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( Y1 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y1 @ Y4 @ Y5 )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ sK2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y0 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ sK2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( Y1 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y2 ) ) ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[],[f11]) ).
thf(f11,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y0 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( Y1 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y1 @ Y4 @ Y5 )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ sK2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y0 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ sK2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( Y1 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y2 ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f10]) ).
thf(f10,plain,
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y1 @ Y5 )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( Y2 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) ) )
=> ( Y4 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y2 @ Y5 @ Y6 )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( Y2 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) ) )
=> ( Y4 @ Y3 ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[],[f7]) ).
thf(f7,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y1 @ Y5 )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( Y2 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) ) )
=> ( Y4 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y2 @ Y5 @ Y6 )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( Y2 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) ) )
=> ( Y4 @ Y3 ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y1 @ Y5 )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( Y2 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) ) )
=> ( Y4 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y2 @ Y5 @ Y6 )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( Y2 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) ) )
=> ( Y4 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y1 @ Y5 )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( Y2 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) ) )
=> ( Y4 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y2 @ Y5 @ Y6 )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( Y2 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) ) )
=> ( Y4 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a,X1: a > a > $o,X2: a,X3: a] :
( ( ! [X4: a > $o] :
( ( ! [X5: a] :
( ( X1 @ X3 @ X5 )
=> ( X4 @ X5 ) )
& ! [X6: a,X7: a] :
( ( ( X4 @ X7 )
& ( X1 @ X7 @ X6 ) )
=> ( X4 @ X6 ) ) )
=> ( X4 @ X2 ) )
& ! [X8: a > $o] :
( ( ! [X9: a,X10: a] :
( ( ( X1 @ X10 @ X9 )
& ( X8 @ X10 ) )
=> ( X8 @ X9 ) )
& ! [X11: a] :
( ( X1 @ X2 @ X11 )
=> ( X8 @ X11 ) ) )
=> ( X8 @ X0 ) ) )
=> ! [X12: a > $o] :
( ( ! [X13: a,X14: a] :
( ( ( X1 @ X14 @ X13 )
& ( X12 @ X14 ) )
=> ( X12 @ X13 ) )
& ! [X15: a] :
( ( X1 @ X3 @ X15 )
=> ( X12 @ X15 ) ) )
=> ( X12 @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X3: a,X0: a > a > $o,X2: a,X1: a] :
( ( ! [X4: a > $o] :
( ( ! [X5: a] :
( ( X0 @ X1 @ X5 )
=> ( X4 @ X5 ) )
& ! [X7: a,X6: a] :
( ( ( X4 @ X6 )
& ( X0 @ X6 @ X7 ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X2 ) )
& ! [X4: a > $o] :
( ( ! [X7: a,X6: a] :
( ( ( X0 @ X6 @ X7 )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) )
& ! [X5: a] :
( ( X0 @ X2 @ X5 )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X3 ) ) )
=> ! [X4: a > $o] :
( ( ! [X7: a,X6: a] :
( ( ( X0 @ X6 @ X7 )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) )
& ! [X5: a] :
( ( X0 @ X1 @ X5 )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X3 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X3: a,X0: a > a > $o,X2: a,X1: a] :
( ( ! [X4: a > $o] :
( ( ! [X5: a] :
( ( X0 @ X1 @ X5 )
=> ( X4 @ X5 ) )
& ! [X7: a,X6: a] :
( ( ( X4 @ X6 )
& ( X0 @ X6 @ X7 ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X2 ) )
& ! [X4: a > $o] :
( ( ! [X7: a,X6: a] :
( ( ( X0 @ X6 @ X7 )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) )
& ! [X5: a] :
( ( X0 @ X2 @ X5 )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X3 ) ) )
=> ! [X4: a > $o] :
( ( ! [X7: a,X6: a] :
( ( ( X0 @ X6 @ X7 )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) )
& ! [X5: a] :
( ( X0 @ X1 @ X5 )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dicTx5pUo7/Vampire---4.8_23067',cTHM150_pme) ).
thf(f44,plain,
( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK3 @ Y0 )
=> ( sK6 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ Y0 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK6 @ Y1 ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f43]) ).
thf(f43,plain,
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK3 @ Y0 )
=> ( sK6 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ Y0 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK6 @ Y1 ) ) ) ) )
=> $false ) ),
inference(superposition,[],[f37,f26]) ).
thf(f26,plain,
( $false
= ( sK6 @ sK5 ) ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f37,plain,
! [X1: a > $o] :
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK3 @ Y0 )
=> ( X1 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( X1 @ Y0 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( X1 @ Y1 ) ) ) ) )
=> ( X1 @ sK5 ) )
= $true ),
inference(beta_eta_normalization,[],[f36]) ).
thf(f36,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ sK3 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK5 ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f35]) ).
thf(f35,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ sK3 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK5 ) ) ) ),
inference(boolean_simplification,[],[f34]) ).
thf(f34,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ sK3 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK5 ) ) )
& $true )
= $true ),
inference(backward_demodulation,[],[f19,f32]) ).
thf(f32,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,plain,
( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ sK3 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK5 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK3 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f99,plain,
( ( ( sK6 @ sK3 )
=> ( sK6 @ sK7 ) )
= $true ),
inference(boolean_simplification,[],[f95]) ).
thf(f95,plain,
( $true
= ( ( ( sK6 @ sK3 )
& $true )
=> ( sK6 @ sK7 ) ) ),
inference(superposition,[],[f88,f73]) ).
thf(f88,plain,
! [X2: a,X1: a] :
( ( ( ( sK6 @ X1 )
& ( sK4 @ X1 @ X2 ) )
=> ( sK6 @ X2 ) )
= $true ),
inference(beta_eta_normalization,[],[f87]) ).
thf(f87,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( sK6 @ X1 )
& ( sK4 @ X1 @ Y0 ) )
=> ( sK6 @ Y0 ) )
@ X2 ) ),
inference(pi_clausification,[],[f81]) ).
thf(f81,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK6 @ X1 )
& ( sK4 @ X1 @ Y0 ) )
=> ( sK6 @ Y0 ) ) ) ),
inference(beta_eta_normalization,[],[f78]) ).
thf(f78,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK6 @ Y0 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK6 @ Y1 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f38]) ).
thf(f63,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ Y0 @ Y1 )
& ( sK6 @ Y0 ) )
=> ( sK6 @ Y1 ) ) ) )
=> ( sK6 @ sK3 ) ) ),
inference(boolean_simplification,[],[f62]) ).
thf(f62,plain,
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ Y0 @ Y1 )
& ( sK6 @ Y0 ) )
=> ( sK6 @ Y1 ) ) ) )
& $true )
=> ( sK6 @ sK3 ) ) ),
inference(superposition,[],[f56,f41]) ).
thf(f41,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK2 @ Y0 )
=> ( sK6 @ Y0 ) ) )
= $true ),
inference(boolean_simplification,[],[f40]) ).
thf(f40,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK2 @ Y0 )
=> ( sK6 @ Y0 ) ) )
& $true ) ),
inference(backward_demodulation,[],[f27,f38]) ).
thf(f56,plain,
! [X1: a > $o] :
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ Y0 @ Y1 )
& ( X1 @ Y0 ) )
=> ( X1 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ sK2 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
=> ( X1 @ sK3 ) ) ),
inference(beta_eta_normalization,[],[f55]) ).
thf(f55,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK3 ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f32]) ).
thf(f182,plain,
( $true
= ( sK6 @ sK9 ) ),
inference(boolean_simplification,[],[f181]) ).
thf(f181,plain,
( $true
= ( $true
=> ( sK6 @ sK9 ) ) ),
inference(forward_demodulation,[],[f180,f169]) ).
thf(f169,plain,
( ( sK6 @ sK8 )
= $true ),
inference(binary_proxy_clausification,[],[f151]) ).
thf(f180,plain,
( $true
= ( ( sK6 @ sK8 )
=> ( sK6 @ sK9 ) ) ),
inference(boolean_simplification,[],[f179]) ).
thf(f179,plain,
( $true
= ( ( ( sK6 @ sK8 )
& $true )
=> ( sK6 @ sK9 ) ) ),
inference(superposition,[],[f88,f172]) ).
thf(f172,plain,
( ( sK4 @ sK8 @ sK9 )
= $true ),
inference(boolean_simplification,[],[f171]) ).
thf(f171,plain,
( ( ( sK4 @ sK8 @ sK9 )
& $true )
= $true ),
inference(backward_demodulation,[],[f151,f169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEV138^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 11:22:51 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.dicTx5pUo7/Vampire---4.8_23067
% 0.15/0.38 % (23321)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.15/0.38 % (23323)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 Vampire---4 for (2999ds/27Mi)
% 0.15/0.38 % (23324)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.38 % (23322)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 Vampire---4 for (2999ds/4Mi)
% 0.15/0.38 % (23325)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.38 % (23326)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.15/0.38 % (23328)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.38 % (23327)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.38 % (23324)Instruction limit reached!
% 0.15/0.38 % (23324)------------------------------
% 0.15/0.38 % (23324)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (23324)Termination reason: Unknown
% 0.15/0.38 % (23324)Termination phase: Preprocessing 3
% 0.15/0.38
% 0.15/0.38 % (23324)Memory used [KB]: 895
% 0.15/0.38 % (23325)Instruction limit reached!
% 0.15/0.38 % (23325)------------------------------
% 0.15/0.38 % (23325)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (23325)Termination reason: Unknown
% 0.15/0.38 % (23325)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (23325)Memory used [KB]: 895
% 0.15/0.38 % (23325)Time elapsed: 0.003 s
% 0.15/0.38 % (23325)Instructions burned: 2 (million)
% 0.15/0.38 % (23325)------------------------------
% 0.15/0.38 % (23325)------------------------------
% 0.15/0.38 % (23324)Time elapsed: 0.003 s
% 0.15/0.38 % (23324)Instructions burned: 2 (million)
% 0.15/0.38 % (23324)------------------------------
% 0.15/0.38 % (23324)------------------------------
% 0.15/0.38 % (23328)Instruction limit reached!
% 0.15/0.38 % (23328)------------------------------
% 0.15/0.38 % (23328)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (23328)Termination reason: Unknown
% 0.15/0.38 % (23328)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (23328)Memory used [KB]: 5500
% 0.15/0.38 % (23328)Time elapsed: 0.004 s
% 0.15/0.38 % (23328)Instructions burned: 3 (million)
% 0.15/0.38 % (23328)------------------------------
% 0.15/0.38 % (23328)------------------------------
% 0.15/0.38 % (23322)Instruction limit reached!
% 0.15/0.38 % (23322)------------------------------
% 0.15/0.38 % (23322)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (23322)Termination reason: Unknown
% 0.15/0.38 % (23322)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (23322)Memory used [KB]: 5500
% 0.15/0.38 % (23322)Time elapsed: 0.004 s
% 0.15/0.38 % (23322)Instructions burned: 4 (million)
% 0.15/0.38 % (23322)------------------------------
% 0.15/0.38 % (23322)------------------------------
% 0.15/0.39 % (23327)Instruction limit reached!
% 0.15/0.39 % (23327)------------------------------
% 0.15/0.39 % (23327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (23327)Termination reason: Unknown
% 0.15/0.39 % (23327)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (23327)Memory used [KB]: 5628
% 0.15/0.39 % (23327)Time elapsed: 0.014 s
% 0.15/0.39 % (23327)Instructions burned: 18 (million)
% 0.15/0.39 % (23327)------------------------------
% 0.15/0.39 % (23327)------------------------------
% 0.15/0.39 % (23329)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 Vampire---4 for (2999ds/37Mi)
% 0.15/0.39 % (23330)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 Vampire---4 for (2999ds/15Mi)
% 0.15/0.39 % (23331)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.39 % (23332)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 Vampire---4 for (2999ds/1041Mi)
% 0.15/0.40 % (23331)Instruction limit reached!
% 0.15/0.40 % (23331)------------------------------
% 0.15/0.40 % (23331)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (23331)Termination reason: Unknown
% 0.15/0.40 % (23331)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (23331)Memory used [KB]: 5500
% 0.15/0.40 % (23331)Time elapsed: 0.004 s
% 0.15/0.40 % (23331)Instructions burned: 3 (million)
% 0.15/0.40 % (23331)------------------------------
% 0.15/0.40 % (23331)------------------------------
% 0.15/0.40 % (23323)Instruction limit reached!
% 0.15/0.40 % (23323)------------------------------
% 0.15/0.40 % (23323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (23323)Termination reason: Unknown
% 0.15/0.40 % (23323)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (23323)Memory used [KB]: 5628
% 0.15/0.40 % (23323)Time elapsed: 0.022 s
% 0.15/0.40 % (23323)Instructions burned: 27 (million)
% 0.15/0.40 % (23323)------------------------------
% 0.15/0.40 % (23323)------------------------------
% 0.15/0.40 % (23330)Instruction limit reached!
% 0.15/0.40 % (23330)------------------------------
% 0.15/0.40 % (23330)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (23330)Termination reason: Unknown
% 0.15/0.40 % (23330)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (23330)Memory used [KB]: 5628
% 0.15/0.40 % (23330)Time elapsed: 0.013 s
% 0.15/0.40 % (23330)Instructions burned: 16 (million)
% 0.15/0.40 % (23330)------------------------------
% 0.15/0.40 % (23330)------------------------------
% 0.15/0.40 % (23333)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.15/0.41 % (23333)Instruction limit reached!
% 0.15/0.41 % (23333)------------------------------
% 0.15/0.41 % (23333)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (23333)Termination reason: Unknown
% 0.15/0.41 % (23333)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (23333)Memory used [KB]: 1023
% 0.15/0.41 % (23333)Time elapsed: 0.006 s
% 0.15/0.41 % (23333)Instructions burned: 7 (million)
% 0.15/0.41 % (23333)------------------------------
% 0.15/0.41 % (23333)------------------------------
% 0.15/0.41 % (23334)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.15/0.41 % (23335)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 Vampire---4 for (2999ds/3Mi)
% 0.15/0.41 % (23329)Instruction limit reached!
% 0.15/0.41 % (23329)------------------------------
% 0.15/0.41 % (23329)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (23329)Termination reason: Unknown
% 0.15/0.41 % (23329)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (23329)Memory used [KB]: 6012
% 0.15/0.41 % (23329)Time elapsed: 0.022 s
% 0.15/0.41 % (23329)Instructions burned: 37 (million)
% 0.15/0.41 % (23329)------------------------------
% 0.15/0.41 % (23329)------------------------------
% 0.15/0.41 % (23335)Instruction limit reached!
% 0.15/0.41 % (23335)------------------------------
% 0.15/0.41 % (23335)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (23335)Termination reason: Unknown
% 0.15/0.41 % (23335)Termination phase: Twee Goal Transformation
% 0.15/0.41
% 0.15/0.41 % (23335)Memory used [KB]: 1023
% 0.15/0.41 % (23335)Time elapsed: 0.004 s
% 0.15/0.41 % (23335)Instructions burned: 4 (million)
% 0.15/0.41 % (23335)------------------------------
% 0.15/0.41 % (23335)------------------------------
% 0.22/0.42 % (23332)First to succeed.
% 0.22/0.42 % (23336)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 Vampire---4 for (2999ds/3Mi)
% 0.22/0.42 % (23336)Instruction limit reached!
% 0.22/0.42 % (23336)------------------------------
% 0.22/0.42 % (23336)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (23336)Termination reason: Unknown
% 0.22/0.42 % (23336)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (23336)Memory used [KB]: 1023
% 0.22/0.42 % (23334)Instruction limit reached!
% 0.22/0.42 % (23334)------------------------------
% 0.22/0.42 % (23334)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (23336)Time elapsed: 0.004 s
% 0.22/0.42 % (23336)Instructions burned: 4 (million)
% 0.22/0.42 % (23336)------------------------------
% 0.22/0.42 % (23336)------------------------------
% 0.22/0.42 % (23334)Termination reason: Unknown
% 0.22/0.42 % (23334)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (23334)Memory used [KB]: 5628
% 0.22/0.42 % (23334)Time elapsed: 0.012 s
% 0.22/0.42 % (23334)Instructions burned: 16 (million)
% 0.22/0.42 % (23334)------------------------------
% 0.22/0.42 % (23334)------------------------------
% 0.22/0.42 % (23337)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.22/0.42 % (23332)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Theorem for Vampire---4
% 0.22/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (23332)------------------------------
% 0.22/0.43 % (23332)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (23332)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (23332)Memory used [KB]: 5756
% 0.22/0.43 % (23332)Time elapsed: 0.030 s
% 0.22/0.43 % (23332)Instructions burned: 36 (million)
% 0.22/0.43 % (23332)------------------------------
% 0.22/0.43 % (23332)------------------------------
% 0.22/0.43 % (23320)Success in time 0.044 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------