TSTP Solution File: SYO901^11 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO901^11 : 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 : n014.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 09:09:38 EDT 2024
% Result : Theorem 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 29
% Syntax : Number of formulae : 113 ( 51 unt; 19 typ; 0 def)
% Number of atoms : 535 ( 122 equ; 0 cnn)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 670 ( 36 ~; 48 |; 11 &; 469 @)
% ( 5 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 69 ( 69 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 20 usr; 11 con; 0-3 aty)
% ( 40 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 148 ( 103 ^ 44 !; 0 ?; 148 :)
% ( 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_13,type,
q: mworld > $o ).
thf(func_def_28,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_29,type,
sK2: mworld ).
thf(func_def_30,type,
sK3: mworld ).
thf(func_def_31,type,
sK4: mworld ).
thf(func_def_32,type,
sK5: mworld ).
thf(f416,plain,
$false,
inference(avatar_sat_refutation,[],[f308,f321,f385,f412,f415]) ).
thf(f415,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f414]) ).
thf(f414,plain,
( $false
| ~ spl0_13
| ~ spl0_14
| spl0_15 ),
inference(subsumption_resolution,[],[f413,f306]) ).
thf(f306,plain,
( ( $false
!= ( q @ sK5 ) )
| spl0_15 ),
inference(avatar_component_clause,[],[f305]) ).
thf(f305,plain,
( spl0_15
<=> ( $false
= ( q @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
thf(f413,plain,
( ( $false
= ( q @ sK5 ) )
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f381,f298]) ).
thf(f298,plain,
( ( $false
= ( p @ sK5 ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f296]) ).
thf(f296,plain,
( spl0_13
<=> ( $false
= ( p @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
thf(f381,plain,
( ( ( p @ sK5 )
= ( q @ sK5 ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f368]) ).
thf(f368,plain,
( ( ( p @ sK5 )
= ( q @ sK5 ) )
| ( $false = $true )
| ~ spl0_14 ),
inference(superposition,[],[f341,f302]) ).
thf(f302,plain,
( ( $true
= ( mrel @ sK2 @ sK5 ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f300]) ).
thf(f300,plain,
( spl0_14
<=> ( $true
= ( mrel @ sK2 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
thf(f341,plain,
! [X0: mworld] :
( ( $false
= ( mrel @ sK2 @ X0 ) )
| ( ( p @ X0 )
= ( q @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f326]) ).
thf(f326,plain,
! [X0: mworld] :
( ( $false = $true )
| ( $false
= ( mrel @ sK2 @ X0 ) )
| ( ( p @ X0 )
= ( q @ X0 ) ) ),
inference(superposition,[],[f217,f76]) ).
thf(f76,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( p @ X1 )
= ( q @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f75]) ).
thf(f75,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( ( p @ X1 )
= ( q @ X1 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f74]) ).
thf(f74,plain,
! [X1: mworld] :
( ( ( mrel @ mactual @ X1 )
=> ( ( p @ X1 )
= ( q @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f73]) ).
thf(f73,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( p @ Y0 )
= ( q @ Y0 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f67]) ).
thf(f67,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( p @ Y0 )
= ( q @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f65]) ).
thf(f65,plain,
( $false
= ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( p @ Y0 )
= ( q @ Y0 ) ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
= ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f47]) ).
thf(f47,plain,
( $true
= ( ~ ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( p @ Y0 )
= ( q @ Y0 ) ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
= ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) ) ) ) ) ) ) ),
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] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) )
@ p
@ q ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ p )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ q ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f45,f36,f44,f37,f40,f37,f40,f37,f37]) ).
thf(f40,plain,
( mequiv
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f27]) ).
thf(f27,plain,
( mequiv
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f26]) ).
thf(f26,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(f37,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f34,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f33]) ).
thf(f33,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(f44,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f29,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f28]) ).
thf(f28,plain,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
( mimplies
= ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
=> ( X3 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def) ).
thf(f36,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f30]) ).
thf(f30,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(f45,plain,
( ( ~ ( mlocal @ ( mimplies @ ( mbox @ ( mequiv @ p @ q ) ) @ ( mbox @ ( mequiv @ ( mbox @ p ) @ ( mbox @ q ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f23]) ).
thf(f23,plain,
( ( ~ ( mlocal @ ( mimplies @ ( mbox @ ( mequiv @ p @ q ) ) @ ( mbox @ ( mequiv @ ( mbox @ p ) @ ( mbox @ q ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f22]) ).
thf(f22,plain,
~ ( mlocal @ ( mimplies @ ( mbox @ ( mequiv @ p @ q ) ) @ ( mbox @ ( mequiv @ ( mbox @ p ) @ ( mbox @ q ) ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f12,negated_conjecture,
~ ( mlocal @ ( mimplies @ ( mbox @ ( mequiv @ p @ q ) ) @ ( mbox @ ( mequiv @ ( mbox @ p ) @ ( mbox @ q ) ) ) ) ),
inference(negated_conjecture,[],[f11]) ).
thf(f11,conjecture,
mlocal @ ( mimplies @ ( mbox @ ( mequiv @ p @ q ) ) @ ( mbox @ ( mequiv @ ( mbox @ p ) @ ( mbox @ q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f217,plain,
! [X0: mworld] :
( ( $true
= ( mrel @ mactual @ X0 ) )
| ( $false
= ( mrel @ sK2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f212]) ).
thf(f212,plain,
! [X0: mworld] :
( ( $false
= ( mrel @ sK2 @ X0 ) )
| ( $true
= ( mrel @ mactual @ X0 ) )
| ( $false = $true ) ),
inference(superposition,[],[f55,f206]) ).
thf(f206,plain,
( $true
= ( mrel @ sK2 @ mactual ) ),
inference(trivial_inequality_removal,[],[f200]) ).
thf(f200,plain,
( ( $true
= ( mrel @ sK2 @ mactual ) )
| ( $false = $true ) ),
inference(superposition,[],[f80,f57]) ).
thf(f57,plain,
! [X1: mworld] :
( $true
= ( mrel @ X1 @ X1 ) ),
inference(beta_eta_normalization,[],[f56]) ).
thf(f56,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] : ( mrel @ Y0 @ Y0 )
@ X1 ) ),
inference(pi_clausification,[],[f43]) ).
thf(f43,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] : ( mrel @ Y0 @ Y0 ) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f25,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] : ( mrel @ Y0 @ Y0 ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f24,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(f80,plain,
! [X0: mworld] :
( ( $false
= ( mrel @ mactual @ X0 ) )
| ( ( mrel @ sK2 @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f77,plain,
! [X0: mworld] :
( ( $false
= ( mrel @ mactual @ X0 ) )
| ( ( mrel @ sK2 @ X0 )
= $true )
| ( $false = $true ) ),
inference(superposition,[],[f71,f55]) ).
thf(f71,plain,
( $true
= ( mrel @ mactual @ sK2 ) ),
inference(binary_proxy_clausification,[],[f69]) ).
thf(f69,plain,
( $false
= ( ( mrel @ mactual @ sK2 )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( p @ Y0 ) ) )
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( q @ Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f68]) ).
thf(f68,plain,
( $false
= ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
= ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f66]) ).
thf(f66,plain,
( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
= ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f65]) ).
thf(f55,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ X2 @ X3 ) )
| ( ( mrel @ X3 @ X1 )
= $true )
| ( $false
= ( mrel @ X2 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f54]) ).
thf(f54,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( ( mrel @ X2 @ X1 )
& ( mrel @ X2 @ X3 ) ) )
| ( ( mrel @ X3 @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f53]) ).
thf(f53,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( $true
= ( ( ( mrel @ X2 @ X1 )
& ( mrel @ X2 @ X3 ) )
=> ( mrel @ X3 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f52]) ).
thf(f52,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ^ [Y0: mworld] :
( ( ( mrel @ X2 @ X1 )
& ( mrel @ X2 @ Y0 ) )
=> ( mrel @ Y0 @ X1 ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f51]) ).
thf(f51,plain,
! [X2: mworld,X1: mworld] :
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( ( mrel @ X2 @ X1 )
& ( mrel @ X2 @ Y0 ) )
=> ( mrel @ Y0 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f50]) ).
thf(f50,plain,
! [X2: mworld,X1: mworld] :
( ( ^ [Y0: mworld] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( ( mrel @ Y0 @ X1 )
& ( mrel @ Y0 @ Y1 ) )
=> ( mrel @ Y1 @ X1 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f49]) ).
thf(f49,plain,
! [X1: mworld] :
( ( !! @ mworld
@ ^ [Y0: mworld] :
( !! @ mworld
@ ^ [Y1: mworld] :
( ( ( mrel @ Y0 @ X1 )
& ( mrel @ Y0 @ Y1 ) )
=> ( mrel @ Y1 @ X1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f48]) ).
thf(f48,plain,
! [X1: mworld] :
( ( ^ [Y0: mworld] :
( !! @ mworld
@ ^ [Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( ( mrel @ Y1 @ Y0 )
& ( mrel @ Y1 @ Y2 ) )
=> ( mrel @ Y2 @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f41]) ).
thf(f41,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( !! @ mworld
@ ^ [Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( ( mrel @ Y1 @ Y0 )
& ( mrel @ Y1 @ Y2 ) )
=> ( mrel @ Y2 @ Y0 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( !! @ mworld
@ ^ [Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( ( mrel @ Y1 @ Y0 )
& ( mrel @ Y1 @ Y2 ) )
=> ( mrel @ Y2 @ Y0 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f18]) ).
thf(f18,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ( ( mrel @ X1 @ X0 )
& ( mrel @ X1 @ X2 ) )
=> ( mrel @ X0 @ X2 ) ),
inference(rectify,[],[f10]) ).
thf(f10,axiom,
! [X5: mworld,X2: mworld,X4: mworld] :
( ( ( mrel @ X2 @ X5 )
& ( mrel @ X2 @ X4 ) )
=> ( mrel @ X5 @ X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_euclidean) ).
thf(f412,plain,
( ~ spl0_15
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f411,f296,f305]) ).
thf(f411,plain,
( ( $false
!= ( q @ sK5 ) )
| ~ spl0_13 ),
inference(forward_demodulation,[],[f278,f298]) ).
thf(f278,plain,
( ( p @ sK5 )
!= ( q @ sK5 ) ),
inference(equality_resolution,[],[f272]) ).
thf(f272,plain,
( ( ( mrel @ sK2 @ sK5 )
=> ( q @ sK5 ) )
!= ( ( mrel @ sK2 @ sK5 )
=> ( p @ sK5 ) ) ),
inference(beta_eta_normalization,[],[f271]) ).
thf(f271,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( p @ Y0 ) )
@ sK5 )
!= ( ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( q @ Y0 ) )
@ sK5 ) ),
inference(negative_extensionality,[],[f149]) ).
thf(f149,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( p @ Y0 ) ) )
!= ( ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( q @ Y0 ) ) ) ),
inference(equality_resolution,[],[f72]) ).
thf(f72,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( q @ Y0 ) ) )
!= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( p @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f70]) ).
thf(f70,plain,
( $false
= ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( p @ Y0 ) ) )
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK2 @ Y0 )
=> ( q @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f69]) ).
thf(f385,plain,
( spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f384,f305,f300,f296]) ).
thf(f384,plain,
( ( $false
= ( p @ sK5 ) )
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f380,f307]) ).
thf(f307,plain,
( ( $false
= ( q @ sK5 ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f305]) ).
thf(f380,plain,
( ( ( p @ sK5 )
= ( q @ sK5 ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f372]) ).
thf(f372,plain,
( ( ( p @ sK5 )
= ( q @ sK5 ) )
| ( $false = $true )
| ~ spl0_14 ),
inference(superposition,[],[f302,f341]) ).
thf(f321,plain,
spl0_14,
inference(avatar_split_clause,[],[f281,f300]) ).
thf(f281,plain,
( $true
= ( mrel @ sK2 @ sK5 ) ),
inference(trivial_inequality_removal,[],[f280]) ).
thf(f280,plain,
( ( $true != $true )
| ( $true
= ( mrel @ sK2 @ sK5 ) ) ),
inference(boolean_simplification,[],[f279]) ).
thf(f279,plain,
( ( $true
!= ( $false
=> ( q @ sK5 ) ) )
| ( $true
= ( mrel @ sK2 @ sK5 ) ) ),
inference(boolean_simplification,[],[f276]) ).
thf(f276,plain,
( ( $true
= ( mrel @ sK2 @ sK5 ) )
| ( ( $false
=> ( q @ sK5 ) )
!= ( $false
=> ( p @ sK5 ) ) ) ),
inference(superposition,[],[f272,f64]) ).
thf(f64,plain,
! [X0: mworld,X1: mworld] :
( ( $false
= ( mrel @ X0 @ X1 ) )
| ( ( mrel @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f59]) ).
thf(f59,plain,
! [X0: mworld,X1: mworld] :
( ( ( mrel @ X0 @ X1 )
= $true )
| ( $false
= ( mrel @ X0 @ X1 ) )
| ( $false = $true ) ),
inference(superposition,[],[f57,f55]) ).
thf(f308,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f293,f305,f296]) ).
thf(f293,plain,
( ( $false
= ( p @ sK5 ) )
| ( $false
= ( q @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f291]) ).
thf(f291,plain,
( ( $false
= ( p @ sK5 ) )
| ( $false
= ( ( mrel @ sK2 @ sK5 )
=> ( q @ sK5 ) ) ) ),
inference(binary_proxy_clausification,[],[f274]) ).
thf(f274,plain,
( ( $false
= ( ( mrel @ sK2 @ sK5 )
=> ( p @ sK5 ) ) )
| ( $false
= ( ( mrel @ sK2 @ sK5 )
=> ( q @ sK5 ) ) ) ),
inference(binary_proxy_clausification,[],[f272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO901^11 : TPTP v8.2.0. Released v8.1.0.
% 0.06/0.14 % 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
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 10:04:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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
% 0.13/0.37 % (22167)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)
% 0.13/0.37 % (22167)Instruction limit reached!
% 0.13/0.37 % (22167)------------------------------
% 0.13/0.37 % (22167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22167)Termination reason: Unknown
% 0.13/0.37 % (22167)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (22167)Memory used [KB]: 5500
% 0.13/0.37 % (22167)Time elapsed: 0.004 s
% 0.13/0.37 % (22167)Instructions burned: 4 (million)
% 0.13/0.37 % (22167)------------------------------
% 0.13/0.37 % (22167)------------------------------
% 0.13/0.37 % (22168)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)
% 0.13/0.37 % (22166)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37 % (22169)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (22172)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37 % (22171)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)
% 0.13/0.37 % (22173)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)
% 0.13/0.37 % (22169)Instruction limit reached!
% 0.13/0.37 % (22169)------------------------------
% 0.13/0.37 % (22169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22169)Termination reason: Unknown
% 0.13/0.37 % (22169)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (22169)Memory used [KB]: 895
% 0.13/0.37 % (22169)Time elapsed: 0.003 s
% 0.13/0.37 % (22169)Instructions burned: 2 (million)
% 0.13/0.37 % (22169)------------------------------
% 0.13/0.37 % (22169)------------------------------
% 0.13/0.37 % (22173)Instruction limit reached!
% 0.13/0.37 % (22173)------------------------------
% 0.13/0.37 % (22173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22173)Termination reason: Unknown
% 0.13/0.37 % (22173)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (22173)Memory used [KB]: 1023
% 0.13/0.37 % (22173)Time elapsed: 0.004 s
% 0.13/0.37 % (22173)Instructions burned: 3 (million)
% 0.13/0.37 % (22173)------------------------------
% 0.13/0.37 % (22173)------------------------------
% 0.13/0.37 % (22171)Refutation not found, incomplete strategy
% 0.13/0.37 % (22171)------------------------------
% 0.13/0.37 % (22171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22171)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (22171)Memory used [KB]: 5500
% 0.13/0.37 % (22171)Time elapsed: 0.003 s
% 0.13/0.37 % (22171)Instructions burned: 3 (million)
% 0.13/0.37 % (22171)------------------------------
% 0.13/0.37 % (22171)------------------------------
% 0.13/0.37 % (22170)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)
% 0.13/0.37 % (22170)Instruction limit reached!
% 0.13/0.37 % (22170)------------------------------
% 0.13/0.37 % (22170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22170)Termination reason: Unknown
% 0.13/0.37 % (22170)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (22170)Memory used [KB]: 895
% 0.13/0.37 % (22170)Time elapsed: 0.003 s
% 0.13/0.37 % (22170)Instructions burned: 2 (million)
% 0.13/0.37 % (22170)------------------------------
% 0.13/0.37 % (22170)------------------------------
% 0.13/0.38 % (22174)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)
% 0.13/0.38 % (22172)Instruction limit reached!
% 0.13/0.38 % (22172)------------------------------
% 0.13/0.38 % (22172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (22172)Termination reason: Unknown
% 0.13/0.38 % (22172)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (22172)Memory used [KB]: 5628
% 0.13/0.38 % (22172)Time elapsed: 0.015 s
% 0.13/0.38 % (22172)Instructions burned: 18 (million)
% 0.13/0.38 % (22172)------------------------------
% 0.13/0.38 % (22172)------------------------------
% 0.13/0.38 % (22175)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)
% 0.13/0.38 % (22176)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)
% 0.13/0.39 % (22177)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)
% 0.13/0.39 % (22176)Instruction limit reached!
% 0.13/0.39 % (22176)------------------------------
% 0.13/0.39 % (22176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (22176)Termination reason: Unknown
% 0.13/0.39 % (22176)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (22176)Memory used [KB]: 5500
% 0.13/0.39 % (22176)Time elapsed: 0.004 s
% 0.13/0.39 % (22176)Instructions burned: 4 (million)
% 0.13/0.39 % (22176)------------------------------
% 0.13/0.39 % (22176)------------------------------
% 0.13/0.39 % (22168)Instruction limit reached!
% 0.13/0.39 % (22168)------------------------------
% 0.13/0.39 % (22168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (22168)Termination reason: Unknown
% 0.13/0.39 % (22168)Termination phase: Saturation
% 0.13/0.39 % (22178)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.39
% 0.13/0.39 % (22168)Memory used [KB]: 5628
% 0.13/0.39 % (22168)Time elapsed: 0.022 s
% 0.13/0.39 % (22168)Instructions burned: 28 (million)
% 0.13/0.39 % (22168)------------------------------
% 0.13/0.39 % (22168)------------------------------
% 0.13/0.39 % (22178)Instruction limit reached!
% 0.13/0.39 % (22178)------------------------------
% 0.13/0.39 % (22178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (22178)Termination reason: Unknown
% 0.13/0.39 % (22178)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (22178)Memory used [KB]: 1023
% 0.13/0.39 % (22178)Time elapsed: 0.007 s
% 0.13/0.39 % (22178)Instructions burned: 7 (million)
% 0.13/0.39 % (22178)------------------------------
% 0.13/0.39 % (22178)------------------------------
% 0.13/0.39 % (22175)Instruction limit reached!
% 0.13/0.39 % (22175)------------------------------
% 0.13/0.39 % (22175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (22175)Termination reason: Unknown
% 0.13/0.39 % (22175)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (22175)Memory used [KB]: 5628
% 0.13/0.39 % (22175)Time elapsed: 0.013 s
% 0.13/0.39 % (22175)Instructions burned: 16 (million)
% 0.13/0.39 % (22175)------------------------------
% 0.13/0.39 % (22175)------------------------------
% 0.21/0.40 % (22179)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.40 % (22174)First to succeed.
% 0.21/0.40 % (22174)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Theorem for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (22174)------------------------------
% 0.21/0.40 % (22174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (22174)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (22174)Memory used [KB]: 5756
% 0.21/0.40 % (22174)Time elapsed: 0.020 s
% 0.21/0.40 % (22174)Instructions burned: 30 (million)
% 0.21/0.40 % (22174)------------------------------
% 0.21/0.40 % (22174)------------------------------
% 0.21/0.40 % (22165)Success in time 0.049 s
% 0.21/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------