TSTP Solution File: SYO893^11 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO893^11 : TPTP v8.2.0. Released v8.1.0.
% 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 : n010.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 09:09:34 EDT 2024
% Result : Theorem 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 33
% Syntax : Number of formulae : 152 ( 42 unt; 23 typ; 0 def)
% Number of atoms : 779 ( 122 equ; 0 cnn)
% Maximal formula atoms : 12 ( 6 avg)
% Number of connectives : 1306 ( 132 ~; 80 |; 84 &; 800 @)
% ( 4 <=>; 90 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 68 ( 68 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 23 usr; 16 con; 0-3 aty)
% ( 66 !!; 50 ??; 0 @@+; 0 @@-)
% Number of variables : 236 ( 191 ^ 42 !; 2 ?; 236 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(func_def_0,type,
mworld: $tType ).
thf(func_def_1,type,
mrel: mworld > mworld > $o ).
thf(func_def_2,type,
mactual: mworld ).
thf(func_def_3,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_5,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_6,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_7,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
p: mworld > $o ).
thf(func_def_27,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_28,type,
sK2: mworld ).
thf(func_def_29,type,
sK3: mworld ).
thf(func_def_30,type,
sK4: mworld ).
thf(func_def_31,type,
sK5: mworld ).
thf(func_def_32,type,
sK6: mworld ).
thf(func_def_33,type,
sK7: mworld ).
thf(func_def_34,type,
sK8: mworld ).
thf(func_def_35,type,
sK9: mworld ).
thf(func_def_36,type,
sK10: mworld ).
thf(f995,plain,
$false,
inference(avatar_sat_refutation,[],[f86,f353,f994]) ).
thf(f994,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f993]) ).
thf(f993,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f992]) ).
thf(f992,plain,
( ( $false = $true )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f971,f594]) ).
thf(f594,plain,
( ( $false
= ( mrel @ sK8 @ sK7 ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f593]) ).
thf(f593,plain,
( ( $false
= ( $true
& ( mrel @ sK8 @ sK7 ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f592]) ).
thf(f592,plain,
( ( $false
= ( ~ $false
& ( mrel @ sK8 @ sK7 ) ) )
| ~ spl0_4 ),
inference(superposition,[],[f572,f452]) ).
thf(f452,plain,
( ( $false
= ( p @ sK7 ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f451]) ).
thf(f451,plain,
( ( $false
= ( $true
=> ( p @ sK7 ) ) )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f447,f450]) ).
thf(f450,plain,
( ( ( mrel @ sK6 @ sK7 )
= $true )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f447]) ).
thf(f447,plain,
( ( $false
= ( ( mrel @ sK6 @ sK7 )
=> ( p @ sK7 ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f445]) ).
thf(f445,plain,
( ( $false
= ( ^ [Y0: mworld] :
( ( mrel @ sK6 @ Y0 )
=> ( p @ Y0 ) )
@ sK7 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f410]) ).
thf(f410,plain,
( ( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK6 @ Y0 )
=> ( p @ Y0 ) ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f407]) ).
thf(f407,plain,
( ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK6 @ Y0 )
=> ( p @ Y0 ) ) )
& $true )
= $false )
| ~ spl0_4 ),
inference(superposition,[],[f396,f49]) ).
thf(f49,plain,
! [X1: mworld] :
( ( mrel @ X1 @ X1 )
= $true ),
inference(beta_eta_normalization,[],[f48]) ).
thf(f48,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] : ( mrel @ Y0 @ Y0 )
@ X1 ) ),
inference(pi_clausification,[],[f35]) ).
thf(f35,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] : ( mrel @ Y0 @ Y0 ) )
= $true ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] : ( mrel @ Y0 @ Y0 ) )
= $true ),
inference(fool_elimination,[],[f14]) ).
thf(f14,plain,
! [X0: mworld] : ( mrel @ X0 @ X0 ),
inference(rectify,[],[f9]) ).
thf(f9,axiom,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(f396,plain,
( ! [X1: mworld] :
( $false
= ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
& ( mrel @ sK6 @ X1 ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f395]) ).
thf(f395,plain,
( ! [X1: mworld] :
( $false
= ( ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
& ( mrel @ sK6 @ Y0 ) )
@ X1 ) )
| ~ spl0_4 ),
inference(pi_clausification,[],[f369]) ).
thf(f369,plain,
( ( $false
= ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
& ( mrel @ sK6 @ Y0 ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f368]) ).
thf(f368,plain,
( ( $false
= ( ( mrel @ mactual @ sK6 )
=> ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
& ( mrel @ sK6 @ Y0 ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f367]) ).
thf(f367,plain,
( ( $false
= ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
& ( mrel @ Y0 @ Y1 ) ) ) )
@ sK6 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f362]) ).
thf(f362,plain,
( ( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
& ( mrel @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl0_4 ),
inference(not_proxy_clausification,[],[f357]) ).
thf(f357,plain,
( ( $false
!= ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
& ( mrel @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f65,f85]) ).
thf(f85,plain,
( ( $false
= ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ?? @ mworld
@ ^ [Y2: mworld] :
( ~ ( p @ Y2 )
& ( mrel @ Y1 @ Y2 ) ) ) ) )
& ( mrel @ mactual @ Y0 ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f84,plain,
( spl0_4
<=> ( $false
= ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ?? @ mworld
@ ^ [Y2: mworld] :
( ~ ( p @ Y2 )
& ( mrel @ Y1 @ Y2 ) ) ) ) )
& ( mrel @ mactual @ Y0 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f65,plain,
( ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
& ( mrel @ Y0 @ Y1 ) ) ) ) ) )
!= ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ?? @ mworld
@ ^ [Y2: mworld] :
( ~ ( p @ Y2 )
& ( mrel @ Y1 @ Y2 ) ) ) ) )
& ( mrel @ mactual @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f64]) ).
thf(f64,plain,
( $false
= ( ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
& ( mrel @ Y0 @ Y1 ) ) ) ) ) )
= ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ?? @ mworld
@ ^ [Y2: mworld] :
( ~ ( p @ Y2 )
& ( mrel @ Y1 @ Y2 ) ) ) ) )
& ( mrel @ mactual @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f47]) ).
thf(f47,plain,
( $true
= ( ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
& ( mrel @ Y0 @ Y1 ) ) ) ) ) )
!= ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ?? @ mworld
@ ^ [Y2: mworld] :
( ~ ( p @ Y2 )
& ( mrel @ Y1 @ Y2 ) ) ) ) )
& ( mrel @ mactual @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f46]) ).
thf(f46,plain,
( ( ~ ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( ?? @ mworld
@ ^ [Y2: mworld] :
( ( Y0 @ Y2 )
& ( mrel @ Y1 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ p ) ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( ?? @ mworld
@ ^ [Y2: mworld] :
( ( Y0 @ Y2 )
& ( mrel @ Y1 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( ?? @ mworld
@ ^ [Y2: mworld] :
( ( Y0 @ Y2 )
& ( mrel @ Y1 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ p ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f38,f45,f41,f37,f44,f43,f44,f43,f44,f43,f37]) ).
thf(f43,plain,
( mdia
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( ?? @ mworld
@ ^ [Y2: mworld] :
( ( Y0 @ Y2 )
& ( mrel @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f30]) ).
thf(f30,plain,
( mdia
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( ?? @ mworld
@ ^ [Y2: mworld] :
( ( Y0 @ Y2 )
& ( mrel @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f29]) ).
thf(f29,plain,
( mdia
= ( ^ [X0: mworld > $o,X1: mworld] :
? [X2: mworld] :
( ( mrel @ X1 @ X2 )
& ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,axiom,
( mdia
= ( ^ [X0: mworld > $o,X2: mworld] :
? [X4: mworld] :
( ( mrel @ X2 @ X4 )
& ( X0 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia_def) ).
thf(f44,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f28]) ).
thf(f28,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f27]) ).
thf(f27,plain,
( ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) )
= mbox ),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
( ( ^ [X0: mworld > $o,X2: mworld] :
! [X4: mworld] :
( ( mrel @ X2 @ X4 )
=> ( X0 @ X4 ) ) )
= mbox ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def) ).
thf(f37,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f34,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f33]) ).
thf(f33,plain,
( mnot
= ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
( mnot
= ( ^ [X1: mworld > $o,X2: mworld] :
~ ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot_def) ).
thf(f41,plain,
( mequiv
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f32,plain,
( mequiv
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f31]) ).
thf(f31,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
<=> ( X1 @ X2 ) ) )
= mequiv ),
inference(rectify,[],[f6]) ).
thf(f6,axiom,
( ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
<=> ( X3 @ X2 ) ) )
= mequiv ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv_def) ).
thf(f45,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f1,axiom,
( mlocal
= ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).
thf(f38,plain,
( $true
= ( ~ ( mlocal @ ( mequiv @ ( mnot @ ( mbox @ ( mdia @ ( mbox @ p ) ) ) ) @ ( mdia @ ( mbox @ ( mdia @ ( mnot @ p ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f24,plain,
( $true
= ( ~ ( mlocal @ ( mequiv @ ( mnot @ ( mbox @ ( mdia @ ( mbox @ p ) ) ) ) @ ( mdia @ ( mbox @ ( mdia @ ( mnot @ p ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f23,plain,
~ ( mlocal @ ( mequiv @ ( mnot @ ( mbox @ ( mdia @ ( mbox @ p ) ) ) ) @ ( mdia @ ( mbox @ ( mdia @ ( mnot @ p ) ) ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f12,negated_conjecture,
~ ( mlocal @ ( mequiv @ ( mnot @ ( mbox @ ( mdia @ ( mbox @ p ) ) ) ) @ ( mdia @ ( mbox @ ( mdia @ ( mnot @ p ) ) ) ) ) ),
inference(negated_conjecture,[],[f11]) ).
thf(f11,conjecture,
mlocal @ ( mequiv @ ( mnot @ ( mbox @ ( mdia @ ( mbox @ p ) ) ) ) @ ( mdia @ ( mbox @ ( mdia @ ( mnot @ p ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f572,plain,
( ! [X1: mworld] :
( $false
= ( ~ ( p @ X1 )
& ( mrel @ sK8 @ X1 ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f571]) ).
thf(f571,plain,
( ! [X1: mworld] :
( $false
= ( ^ [Y0: mworld] :
( ~ ( p @ Y0 )
& ( mrel @ sK8 @ Y0 ) )
@ X1 ) )
| ~ spl0_4 ),
inference(pi_clausification,[],[f496]) ).
thf(f496,plain,
( ( $false
= ( ?? @ mworld
@ ^ [Y0: mworld] :
( ~ ( p @ Y0 )
& ( mrel @ sK8 @ Y0 ) ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f495]) ).
thf(f495,plain,
( ( $false
= ( $true
=> ( ?? @ mworld
@ ^ [Y0: mworld] :
( ~ ( p @ Y0 )
& ( mrel @ sK8 @ Y0 ) ) ) ) )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f474,f494]) ).
thf(f494,plain,
( ( ( mrel @ mactual @ sK8 )
= $true )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f474]) ).
thf(f474,plain,
( ( $false
= ( ( mrel @ mactual @ sK8 )
=> ( ?? @ mworld
@ ^ [Y0: mworld] :
( ~ ( p @ Y0 )
& ( mrel @ sK8 @ Y0 ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f471]) ).
thf(f471,plain,
( ( $false
= ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ~ ( p @ Y1 )
& ( mrel @ Y0 @ Y1 ) ) ) )
@ sK8 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f434]) ).
thf(f434,plain,
( ( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ~ ( p @ Y1 )
& ( mrel @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f432]) ).
thf(f432,plain,
( ( $false
= ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ~ ( p @ Y1 )
& ( mrel @ Y0 @ Y1 ) ) ) ) )
& $true ) )
| ~ spl0_4 ),
inference(superposition,[],[f421,f49]) ).
thf(f421,plain,
( ! [X1: mworld] :
( $false
= ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ~ ( p @ Y1 )
& ( mrel @ Y0 @ Y1 ) ) ) ) )
& ( mrel @ mactual @ X1 ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f420]) ).
thf(f420,plain,
( ! [X1: mworld] :
( $false
= ( ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ?? @ mworld
@ ^ [Y2: mworld] :
( ~ ( p @ Y2 )
& ( mrel @ Y1 @ Y2 ) ) ) ) )
& ( mrel @ mactual @ Y0 ) )
@ X1 ) )
| ~ spl0_4 ),
inference(pi_clausification,[],[f85]) ).
thf(f971,plain,
( ( ( mrel @ sK8 @ sK7 )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f967]) ).
thf(f967,plain,
( ( ( $true
=> ( mrel @ sK8 @ sK7 ) )
= $true )
| ~ spl0_4 ),
inference(superposition,[],[f468,f565]) ).
thf(f565,plain,
( ( ( mrel @ sK6 @ sK8 )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f553]) ).
thf(f553,plain,
( ( ( $true
=> ( mrel @ sK6 @ sK8 ) )
= $true )
| ~ spl0_4 ),
inference(superposition,[],[f381,f494]) ).
thf(f381,plain,
( ! [X0: mworld] :
( ( ( mrel @ mactual @ X0 )
=> ( mrel @ sK6 @ X0 ) )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f377]) ).
thf(f377,plain,
( ! [X0: mworld] :
( ( ( $true
& ( mrel @ mactual @ X0 ) )
=> ( mrel @ sK6 @ X0 ) )
= $true )
| ~ spl0_4 ),
inference(superposition,[],[f55,f370]) ).
thf(f370,plain,
( ( ( mrel @ mactual @ sK6 )
= $true )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f368]) ).
thf(f55,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( ( mrel @ X3 @ X1 )
& ( mrel @ X3 @ X2 ) )
=> ( mrel @ X1 @ X2 ) )
= $true ),
inference(beta_eta_normalization,[],[f54]) ).
thf(f54,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( ( mrel @ Y0 @ X1 )
& ( mrel @ Y0 @ X2 ) )
=> ( mrel @ X1 @ X2 ) )
@ X3 ) ),
inference(pi_clausification,[],[f53]) ).
thf(f53,plain,
! [X2: mworld,X1: mworld] :
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( ( mrel @ Y0 @ X1 )
& ( mrel @ Y0 @ X2 ) )
=> ( mrel @ X1 @ X2 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f52]) ).
thf(f52,plain,
! [X2: mworld,X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( ( mrel @ Y1 @ X1 )
& ( mrel @ Y1 @ Y0 ) )
=> ( mrel @ X1 @ Y0 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f51]) ).
thf(f51,plain,
! [X1: mworld] :
( ( !! @ mworld
@ ^ [Y0: mworld] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( ( mrel @ Y1 @ X1 )
& ( mrel @ Y1 @ Y0 ) )
=> ( mrel @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f50]) ).
thf(f50,plain,
! [X1: mworld] :
( ( ^ [Y0: mworld] :
( !! @ mworld
@ ^ [Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( ( mrel @ Y2 @ Y0 )
& ( mrel @ Y2 @ Y1 ) )
=> ( mrel @ Y0 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f36]) ).
thf(f36,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( !! @ mworld
@ ^ [Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( ( mrel @ Y2 @ Y0 )
& ( mrel @ Y2 @ Y1 ) )
=> ( mrel @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f22,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( !! @ mworld
@ ^ [Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( ( mrel @ Y2 @ Y0 )
& ( mrel @ Y2 @ Y1 ) )
=> ( mrel @ Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f21]) ).
thf(f21,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ( ( mrel @ X0 @ X1 )
& ( mrel @ X0 @ X2 ) )
=> ( mrel @ X2 @ X1 ) ),
inference(rectify,[],[f10]) ).
thf(f10,axiom,
! [X2: mworld,X4: mworld,X5: mworld] :
( ( ( mrel @ X2 @ X4 )
& ( mrel @ X2 @ X5 ) )
=> ( mrel @ X5 @ X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_euclidean) ).
thf(f468,plain,
( ! [X0: mworld] :
( ( ( mrel @ sK6 @ X0 )
=> ( mrel @ X0 @ sK7 ) )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f460]) ).
thf(f460,plain,
( ! [X0: mworld] :
( ( ( ( mrel @ sK6 @ X0 )
& $true )
=> ( mrel @ X0 @ sK7 ) )
= $true )
| ~ spl0_4 ),
inference(superposition,[],[f55,f450]) ).
thf(f353,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f352]) ).
thf(f352,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f351]) ).
thf(f351,plain,
( ( $false = $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f350]) ).
thf(f350,plain,
( ( ~ $true = $true )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f260,f344]) ).
thf(f344,plain,
( ( ( mrel @ sK4 @ sK3 )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f342]) ).
thf(f342,plain,
( ( ( $true
=> ( mrel @ sK4 @ sK3 ) )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f198,f221]) ).
thf(f221,plain,
( ( ( mrel @ sK2 @ sK4 )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f207]) ).
thf(f207,plain,
( ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK4 @ Y0 )
=> ( p @ Y0 ) ) )
& ( mrel @ sK2 @ sK4 ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f205]) ).
thf(f205,plain,
( ( ( ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
& ( mrel @ sK2 @ Y0 ) )
@ sK4 )
= $true )
| ~ spl0_3 ),
inference(sigma_clausification,[],[f185]) ).
thf(f185,plain,
( ( ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
& ( mrel @ sK2 @ Y0 ) ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f184]) ).
thf(f184,plain,
( ( ( $true
=> ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
& ( mrel @ sK2 @ Y0 ) ) ) )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f181,f97]) ).
thf(f97,plain,
( ( ( mrel @ mactual @ sK2 )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f96]) ).
thf(f96,plain,
( ( ( $true
& ( mrel @ mactual @ sK2 ) )
= $true )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f93,f95]) ).
thf(f95,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ~ ( p @ Y1 )
& ( mrel @ Y0 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f93]) ).
thf(f93,plain,
( ( $true
= ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ~ ( p @ Y1 )
& ( mrel @ Y0 @ Y1 ) ) ) ) )
& ( mrel @ mactual @ sK2 ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f92]) ).
thf(f92,plain,
( ( ( ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ?? @ mworld
@ ^ [Y2: mworld] :
( ~ ( p @ Y2 )
& ( mrel @ Y1 @ Y2 ) ) ) ) )
& ( mrel @ mactual @ Y0 ) )
@ sK2 )
= $true )
| ~ spl0_3 ),
inference(sigma_clausification,[],[f87]) ).
thf(f87,plain,
( ( $false
!= ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ?? @ mworld
@ ^ [Y2: mworld] :
( ~ ( p @ Y2 )
& ( mrel @ Y1 @ Y2 ) ) ) ) )
& ( mrel @ mactual @ Y0 ) ) ) )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f65,f82]) ).
thf(f82,plain,
( ( $false
= ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
& ( mrel @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f81]) ).
thf(f81,plain,
( spl0_3
<=> ( $false
= ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
& ( mrel @ Y0 @ Y1 ) ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f181,plain,
( ! [X1: mworld] :
( ( ( mrel @ mactual @ X1 )
=> ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
& ( mrel @ X1 @ Y0 ) ) ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f180]) ).
thf(f180,plain,
( ! [X1: mworld] :
( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
& ( mrel @ Y0 @ Y1 ) ) ) )
@ X1 )
= $true )
| ~ spl0_3 ),
inference(pi_clausification,[],[f174]) ).
thf(f174,plain,
( ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
& ( mrel @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl0_3 ),
inference(not_proxy_clausification,[],[f82]) ).
thf(f198,plain,
( ! [X0: mworld] :
( $true
= ( ( mrel @ sK2 @ X0 )
=> ( mrel @ X0 @ sK3 ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f194]) ).
thf(f194,plain,
( ! [X0: mworld] :
( ( ( ( mrel @ sK2 @ X0 )
& $true )
=> ( mrel @ X0 @ sK3 ) )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f55,f173]) ).
thf(f173,plain,
( ( ( mrel @ sK2 @ sK3 )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f172]) ).
thf(f172,plain,
( ( ( $true
& ( mrel @ sK2 @ sK3 ) )
= $true )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f164,f171]) ).
thf(f171,plain,
( ( ( ~ ( p @ sK3 ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f164]) ).
thf(f164,plain,
( ( ( ~ ( p @ sK3 )
& ( mrel @ sK2 @ sK3 ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f161]) ).
thf(f161,plain,
( ( ( ^ [Y0: mworld] :
( ~ ( p @ Y0 )
& ( mrel @ sK2 @ Y0 ) )
@ sK3 )
= $true )
| ~ spl0_3 ),
inference(sigma_clausification,[],[f160]) ).
thf(f160,plain,
( ( ( ?? @ mworld
@ ^ [Y0: mworld] :
( ~ ( p @ Y0 )
& ( mrel @ sK2 @ Y0 ) ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f157]) ).
thf(f157,plain,
( ( $true
= ( $true
=> ( ?? @ mworld
@ ^ [Y0: mworld] :
( ~ ( p @ Y0 )
& ( mrel @ sK2 @ Y0 ) ) ) ) )
| ~ spl0_3 ),
inference(superposition,[],[f146,f49]) ).
thf(f146,plain,
( ! [X1: mworld] :
( ( ( mrel @ sK2 @ X1 )
=> ( ?? @ mworld
@ ^ [Y0: mworld] :
( ~ ( p @ Y0 )
& ( mrel @ X1 @ Y0 ) ) ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f145]) ).
thf(f145,plain,
( ! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ~ ( p @ Y1 )
& ( mrel @ Y0 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl0_3 ),
inference(pi_clausification,[],[f95]) ).
thf(f260,plain,
( ( ( ~ ( mrel @ sK4 @ sK3 ) )
= $true )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f258]) ).
thf(f258,plain,
( ( ( ( mrel @ sK4 @ sK3 )
=> $false )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f244,f177]) ).
thf(f177,plain,
( ( $false
= ( p @ sK3 ) )
| ~ spl0_3 ),
inference(not_proxy_clausification,[],[f171]) ).
thf(f244,plain,
( ! [X1: mworld] :
( ( ( mrel @ sK4 @ X1 )
=> ( p @ X1 ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f243]) ).
thf(f243,plain,
( ! [X1: mworld] :
( ( ^ [Y0: mworld] :
( ( mrel @ sK4 @ Y0 )
=> ( p @ Y0 ) )
@ X1 )
= $true )
| ~ spl0_3 ),
inference(pi_clausification,[],[f224]) ).
thf(f224,plain,
( ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK4 @ Y0 )
=> ( p @ Y0 ) ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f223]) ).
thf(f223,plain,
( ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK4 @ Y0 )
=> ( p @ Y0 ) ) )
& $true )
= $true )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f207,f221]) ).
thf(f86,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f72,f84,f81]) ).
thf(f72,plain,
( ( $false
= ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ?? @ mworld
@ ^ [Y2: mworld] :
( ~ ( p @ Y2 )
& ( mrel @ Y1 @ Y2 ) ) ) ) )
& ( mrel @ mactual @ Y0 ) ) ) )
| ( $false
= ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
& ( mrel @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO893^11 : TPTP v8.2.0. Released v8.1.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 : Mon May 20 10:58:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_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/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38 % (26635)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.38 % (26640)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)
% 0.15/0.38 % (26639)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38 % (26642)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.38 % (26638)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)
% 0.15/0.38 % (26636)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)
% 0.15/0.38 % (26639)Instruction limit reached!
% 0.15/0.38 % (26639)------------------------------
% 0.15/0.38 % (26639)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (26640)Instruction limit reached!
% 0.15/0.38 % (26640)------------------------------
% 0.15/0.38 % (26640)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (26640)Termination reason: Unknown
% 0.15/0.38 % (26640)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (26640)Memory used [KB]: 1023
% 0.15/0.38 % (26640)Time elapsed: 0.003 s
% 0.15/0.38 % (26640)Instructions burned: 3 (million)
% 0.15/0.38 % (26640)------------------------------
% 0.15/0.38 % (26640)------------------------------
% 0.15/0.38 % (26639)Termination reason: Unknown
% 0.15/0.38 % (26639)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (26639)Memory used [KB]: 895
% 0.15/0.38 % (26639)Time elapsed: 0.003 s
% 0.15/0.38 % (26639)Instructions burned: 2 (million)
% 0.15/0.38 % (26639)------------------------------
% 0.15/0.38 % (26639)------------------------------
% 0.15/0.38 % (26644)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)
% 0.15/0.38 % (26636)Instruction limit reached!
% 0.15/0.38 % (26636)------------------------------
% 0.15/0.38 % (26636)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (26636)Termination reason: Unknown
% 0.15/0.38 % (26636)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (26636)Memory used [KB]: 5500
% 0.15/0.38 % (26636)Time elapsed: 0.005 s
% 0.15/0.38 % (26636)Instructions burned: 5 (million)
% 0.15/0.38 % (26636)------------------------------
% 0.15/0.38 % (26636)------------------------------
% 0.15/0.38 % (26644)Instruction limit reached!
% 0.15/0.38 % (26644)------------------------------
% 0.15/0.38 % (26644)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (26644)Termination reason: Unknown
% 0.15/0.38 % (26644)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (26644)Memory used [KB]: 895
% 0.15/0.38 % (26644)Time elapsed: 0.004 s
% 0.15/0.38 % (26644)Instructions burned: 3 (million)
% 0.15/0.38 % (26644)------------------------------
% 0.15/0.38 % (26644)------------------------------
% 0.15/0.38 % (26641)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)
% 0.15/0.39 % (26641)Refutation not found, incomplete strategy
% 0.15/0.39 % (26641)------------------------------
% 0.15/0.39 % (26641)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (26641)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39
% 0.15/0.39
% 0.15/0.39 % (26641)Memory used [KB]: 5500
% 0.15/0.39 % (26641)Time elapsed: 0.004 s
% 0.15/0.39 % (26641)Instructions burned: 2 (million)
% 0.15/0.39 % (26641)------------------------------
% 0.15/0.39 % (26641)------------------------------
% 0.15/0.39 % (26642)Instruction limit reached!
% 0.15/0.39 % (26642)------------------------------
% 0.15/0.39 % (26642)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (26642)Termination reason: Unknown
% 0.15/0.39 % (26642)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (26642)Memory used [KB]: 5628
% 0.15/0.39 % (26642)Time elapsed: 0.014 s
% 0.15/0.39 % (26642)Instructions burned: 19 (million)
% 0.15/0.39 % (26642)------------------------------
% 0.15/0.39 % (26642)------------------------------
% 0.15/0.40 % (26656)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)
% 0.15/0.40 % (26657)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)
% 0.15/0.40 % (26638)Instruction limit reached!
% 0.15/0.40 % (26638)------------------------------
% 0.15/0.40 % (26638)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (26638)Termination reason: Unknown
% 0.15/0.40 % (26638)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (26638)Memory used [KB]: 5756
% 0.15/0.40 % (26638)Time elapsed: 0.020 s
% 0.15/0.40 % (26638)Instructions burned: 28 (million)
% 0.15/0.40 % (26638)------------------------------
% 0.15/0.40 % (26638)------------------------------
% 0.15/0.40 % (26658)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)
% 0.15/0.40 % (26658)Instruction limit reached!
% 0.15/0.40 % (26658)------------------------------
% 0.15/0.40 % (26658)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (26658)Termination reason: Unknown
% 0.15/0.40 % (26658)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (26658)Memory used [KB]: 1023
% 0.15/0.40 % (26658)Time elapsed: 0.004 s
% 0.15/0.40 % (26658)Instructions burned: 3 (million)
% 0.15/0.40 % (26658)------------------------------
% 0.15/0.40 % (26658)------------------------------
% 0.15/0.40 % (26660)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.40 % (26659)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)
% 0.15/0.41 % (26657)Instruction limit reached!
% 0.15/0.41 % (26657)------------------------------
% 0.15/0.41 % (26657)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (26657)Termination reason: Unknown
% 0.15/0.41 % (26657)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (26657)Memory used [KB]: 5628
% 0.15/0.41 % (26657)Time elapsed: 0.012 s
% 0.15/0.41 % (26657)Instructions burned: 16 (million)
% 0.15/0.41 % (26657)------------------------------
% 0.15/0.41 % (26657)------------------------------
% 0.15/0.41 % (26661)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.41 % (26660)Instruction limit reached!
% 0.15/0.41 % (26660)------------------------------
% 0.15/0.41 % (26660)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (26660)Termination reason: Unknown
% 0.15/0.41 % (26660)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (26660)Memory used [KB]: 1023
% 0.15/0.41 % (26660)Time elapsed: 0.006 s
% 0.15/0.41 % (26660)Instructions burned: 8 (million)
% 0.15/0.41 % (26660)------------------------------
% 0.15/0.41 % (26660)------------------------------
% 0.15/0.41 % (26663)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)
% 0.15/0.42 % (26663)Instruction limit reached!
% 0.15/0.42 % (26663)------------------------------
% 0.15/0.42 % (26663)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (26663)Termination reason: Unknown
% 0.15/0.42 % (26663)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (26663)Memory used [KB]: 5500
% 0.15/0.42 % (26663)Time elapsed: 0.004 s
% 0.15/0.42 % (26663)Instructions burned: 4 (million)
% 0.15/0.42 % (26663)------------------------------
% 0.15/0.42 % (26663)------------------------------
% 0.15/0.42 % (26665)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)
% 0.15/0.42 % (26661)Instruction limit reached!
% 0.15/0.42 % (26661)------------------------------
% 0.15/0.42 % (26661)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (26661)Termination reason: Unknown
% 0.15/0.42 % (26661)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (26661)Memory used [KB]: 5884
% 0.15/0.42 % (26661)Time elapsed: 0.014 s
% 0.15/0.42 % (26661)Instructions burned: 16 (million)
% 0.15/0.42 % (26661)------------------------------
% 0.15/0.42 % (26661)------------------------------
% 0.15/0.42 % (26665)Instruction limit reached!
% 0.15/0.42 % (26665)------------------------------
% 0.15/0.42 % (26665)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (26665)Termination reason: Unknown
% 0.15/0.42 % (26665)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (26665)Memory used [KB]: 1023
% 0.15/0.42 % (26665)Time elapsed: 0.004 s
% 0.15/0.42 % (26665)Instructions burned: 4 (million)
% 0.15/0.42 % (26665)------------------------------
% 0.15/0.42 % (26665)------------------------------
% 0.15/0.42 % (26656)Instruction limit reached!
% 0.15/0.42 % (26656)------------------------------
% 0.15/0.42 % (26656)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (26656)Termination reason: Unknown
% 0.15/0.42 % (26656)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (26656)Memory used [KB]: 5756
% 0.15/0.42 % (26656)Time elapsed: 0.026 s
% 0.15/0.42 % (26656)Instructions burned: 37 (million)
% 0.15/0.42 % (26656)------------------------------
% 0.15/0.42 % (26656)------------------------------
% 0.15/0.42 % (26668)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)
% 0.15/0.42 % (26669)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)
% 0.15/0.42 % (26669)Instruction limit reached!
% 0.15/0.42 % (26669)------------------------------
% 0.15/0.42 % (26669)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (26669)Termination reason: Unknown
% 0.15/0.42 % (26669)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (26669)Memory used [KB]: 1023
% 0.15/0.42 % (26669)Time elapsed: 0.004 s
% 0.15/0.42 % (26669)Instructions burned: 3 (million)
% 0.15/0.42 % (26669)------------------------------
% 0.15/0.42 % (26669)------------------------------
% 0.15/0.42 % (26668)Refutation not found, incomplete strategy
% 0.15/0.42 % (26668)------------------------------
% 0.15/0.42 % (26668)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (26668)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.42
% 0.15/0.42
% 0.15/0.42 % (26668)Memory used [KB]: 5500
% 0.15/0.42 % (26668)Time elapsed: 0.005 s
% 0.15/0.42 % (26668)Instructions burned: 5 (million)
% 0.15/0.42 % (26668)------------------------------
% 0.15/0.42 % (26668)------------------------------
% 0.15/0.43 % (26674)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.43 % (26675)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)
% 0.15/0.43 % (26676)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.15/0.44 % (26674)Instruction limit reached!
% 0.15/0.44 % (26674)------------------------------
% 0.15/0.44 % (26674)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.44 % (26674)Termination reason: Unknown
% 0.15/0.44 % (26674)Termination phase: Saturation
% 0.15/0.44
% 0.15/0.44 % (26674)Memory used [KB]: 5500
% 0.15/0.44 % (26674)Time elapsed: 0.005 s
% 0.15/0.44 % (26674)Instructions burned: 5 (million)
% 0.15/0.44 % (26674)------------------------------
% 0.15/0.44 % (26674)------------------------------
% 0.15/0.44 % (26677)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.44 % (26680)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)
% 0.22/0.44 % (26677)Instruction limit reached!
% 0.22/0.44 % (26677)------------------------------
% 0.22/0.44 % (26677)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (26677)Termination reason: Unknown
% 0.22/0.44 % (26677)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (26677)Memory used [KB]: 5500
% 0.22/0.44 % (26677)Time elapsed: 0.006 s
% 0.22/0.44 % (26677)Instructions burned: 7 (million)
% 0.22/0.44 % (26677)------------------------------
% 0.22/0.44 % (26677)------------------------------
% 0.22/0.44 % (26680)Refutation not found, incomplete strategy
% 0.22/0.44 % (26680)------------------------------
% 0.22/0.44 % (26680)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (26680)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44
% 0.22/0.44 % (26682)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)
% 0.22/0.44 % (26680)Memory used [KB]: 5500
% 0.22/0.44 % (26680)Time elapsed: 0.004 s
% 0.22/0.44 % (26680)Instructions burned: 3 (million)
% 0.22/0.44 % (26680)------------------------------
% 0.22/0.44 % (26680)------------------------------
% 0.22/0.45 % (26675)Instruction limit reached!
% 0.22/0.45 % (26675)------------------------------
% 0.22/0.45 % (26675)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (26675)Termination reason: Unknown
% 0.22/0.45 % (26675)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (26675)Memory used [KB]: 5628
% 0.22/0.45 % (26675)Time elapsed: 0.015 s
% 0.22/0.45 % (26675)Instructions burned: 19 (million)
% 0.22/0.45 % (26675)------------------------------
% 0.22/0.45 % (26675)------------------------------
% 0.22/0.45 % (26683)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.45 % (26683)Instruction limit reached!
% 0.22/0.45 % (26683)------------------------------
% 0.22/0.45 % (26683)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (26683)Termination reason: Unknown
% 0.22/0.45 % (26683)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (26683)Memory used [KB]: 5500
% 0.22/0.45 % (26683)Time elapsed: 0.005 s
% 0.22/0.45 % (26683)Instructions burned: 5 (million)
% 0.22/0.45 % (26683)------------------------------
% 0.22/0.45 % (26683)------------------------------
% 0.22/0.45 % (26682)Instruction limit reached!
% 0.22/0.45 % (26682)------------------------------
% 0.22/0.45 % (26682)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (26682)Termination reason: Unknown
% 0.22/0.45 % (26682)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (26682)Memory used [KB]: 5628
% 0.22/0.45 % (26682)Time elapsed: 0.014 s
% 0.22/0.45 % (26682)Instructions burned: 22 (million)
% 0.22/0.45 % (26682)------------------------------
% 0.22/0.45 % (26682)------------------------------
% 0.22/0.45 % (26685)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)
% 0.22/0.46 % (26687)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.46 % (26685)Instruction limit reached!
% 0.22/0.46 % (26685)------------------------------
% 0.22/0.46 % (26685)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (26685)Termination reason: Unknown
% 0.22/0.46 % (26685)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (26685)Memory used [KB]: 5500
% 0.22/0.46 % (26685)Time elapsed: 0.006 s
% 0.22/0.46 % (26685)Instructions burned: 6 (million)
% 0.22/0.46 % (26685)------------------------------
% 0.22/0.46 % (26685)------------------------------
% 0.22/0.46 % (26690)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)
% 0.22/0.46 % (26694)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.22/0.47 % (26693)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)
% 0.22/0.47 % (26659)First to succeed.
% 0.22/0.47 % (26693)Refutation not found, incomplete strategy
% 0.22/0.47 % (26693)------------------------------
% 0.22/0.47 % (26693)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (26693)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 % (26693)Memory used [KB]: 5500
% 0.22/0.47 % (26693)Time elapsed: 0.004 s
% 0.22/0.47 % (26693)Instructions burned: 4 (million)
% 0.22/0.47 % (26693)------------------------------
% 0.22/0.47 % (26693)------------------------------
% 0.22/0.47 % (26698)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.22/0.47 % (26659)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Theorem for theBenchmark
% 0.22/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.47 % (26659)------------------------------
% 0.22/0.47 % (26659)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (26659)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (26659)Memory used [KB]: 6140
% 0.22/0.47 % (26659)Time elapsed: 0.067 s
% 0.22/0.47 % (26659)Instructions burned: 101 (million)
% 0.22/0.47 % (26659)------------------------------
% 0.22/0.47 % (26659)------------------------------
% 0.22/0.47 % (26631)Success in time 0.094 s
% 0.22/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------