TSTP Solution File: PRO029^16 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PRO029^16 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 08:47:28 EDT 2024
% Result : Theorem 0.13s 0.32s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 51
% Syntax : Number of formulae : 213 ( 62 unt; 22 typ; 0 def)
% Number of atoms : 1177 ( 232 equ; 0 cnn)
% Maximal formula atoms : 17 ( 6 avg)
% Number of connectives : 1499 ( 128 ~; 164 |; 20 &;1018 @)
% ( 18 <=>; 103 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 109 ( 109 >; 0 *; 0 +; 0 <<)
% Number of symbols : 40 ( 36 usr; 25 con; 0-3 aty)
% ( 48 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 243 ( 181 ^ 62 !; 0 ?; 243 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mindex: $tType ).
thf(type_def_6,type,
mworld: $tType ).
thf(func_def_0,type,
mworld: $tType ).
thf(func_def_1,type,
mindex: $tType ).
thf(func_def_2,type,
mrel: mindex > mworld > mworld > $o ).
thf(func_def_3,type,
'#c': mindex ).
thf(func_def_4,type,
'#u': mindex ).
thf(func_def_5,type,
mactual: mworld ).
thf(func_def_6,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_8,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_13,type,
mbox: mindex > ( mworld > $o ) > mworld > $o ).
thf(func_def_14,type,
mdia: mindex > ( mworld > $o ) > mworld > $o ).
thf(func_def_15,type,
charge: mworld > $o ).
thf(func_def_16,type,
called: mworld > $o ).
thf(func_def_17,type,
paid: mworld > $o ).
thf(func_def_33,type,
sK1: mworld > mworld ).
thf(func_def_34,type,
sK2: mworld > mworld ).
thf(func_def_35,type,
sK3: mworld ).
thf(f548,plain,
$false,
inference(avatar_sat_refutation,[],[f171,f176,f185,f197,f204,f208,f234,f253,f259,f266,f285,f302,f311,f319,f338,f459,f534,f541,f547]) ).
thf(f547,plain,
( ~ spl0_3
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f546]) ).
thf(f546,plain,
( $false
| ~ spl0_3
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f543]) ).
thf(f543,plain,
( ( $true = $false )
| ~ spl0_3
| ~ spl0_20 ),
inference(superposition,[],[f175,f300]) ).
thf(f300,plain,
( ( ( called @ sK3 )
= $false )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f298]) ).
thf(f298,plain,
( spl0_20
<=> ( ( called @ sK3 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
thf(f175,plain,
( ( $true
= ( called @ sK3 ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f173]) ).
thf(f173,plain,
( spl0_3
<=> ( $true
= ( called @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f541,plain,
( ~ spl0_9
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f540]) ).
thf(f540,plain,
( $false
| ~ spl0_9
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f537]) ).
thf(f537,plain,
( ( $true = $false )
| ~ spl0_9
| ~ spl0_24 ),
inference(superposition,[],[f388,f442]) ).
thf(f442,plain,
( ( $true
= ( called @ ( sK2 @ sK3 ) ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f440]) ).
thf(f440,plain,
( spl0_24
<=> ( $true
= ( called @ ( sK2 @ sK3 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
thf(f388,plain,
( ( ( called @ ( sK2 @ sK3 ) )
= $false )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f382]) ).
thf(f382,plain,
( ( $true = $false )
| ( ( called @ ( sK2 @ sK3 ) )
= $false )
| ~ spl0_9 ),
inference(superposition,[],[f157,f200]) ).
thf(f200,plain,
( ! [X1: mworld] :
( ( ( mrel @ '#u' @ mactual @ X1 )
= $false )
| ( ( called @ ( sK2 @ X1 ) )
= $false ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f199]) ).
thf(f199,plain,
( spl0_9
<=> ! [X1: mworld] :
( ( ( called @ ( sK2 @ X1 ) )
= $false )
| ( ( mrel @ '#u' @ mactual @ X1 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f157,plain,
( ( mrel @ '#u' @ mactual @ sK3 )
= $true ),
inference(binary_proxy_clausification,[],[f155]) ).
thf(f155,plain,
( ( ( mrel @ '#u' @ mactual @ sK3 )
=> ~ ( ( charge @ sK3 )
=> ( ( called @ sK3 )
& ~ ( paid @ sK3 ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f154]) ).
thf(f154,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ '#u' @ mactual @ Y0 )
=> ~ ( ( charge @ Y0 )
=> ( ( called @ Y0 )
& ~ ( paid @ Y0 ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[],[f147]) ).
thf(f147,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#u' @ mactual @ Y0 )
=> ~ ( ( charge @ Y0 )
=> ( ( called @ Y0 )
& ~ ( paid @ Y0 ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f146]) ).
thf(f146,plain,
( $true
!= ( ~ ( ( charge @ mactual )
=> ( ( called @ mactual )
& ~ ( paid @ mactual ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#u' @ mactual @ Y0 )
=> ~ ( ( charge @ Y0 )
=> ( ( called @ Y0 )
& ~ ( paid @ Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f84]) ).
thf(f84,plain,
( $true
!= ( ^ [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 > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ charge
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
@ called
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ paid ) ) ) )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#u'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ charge
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
@ called
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ paid ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f71,f69,f64,f80,f64,f65,f80,f68,f80,f64,f65,f80]) ).
thf(f68,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f37]) ).
thf(f37,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f36]) ).
thf(f36,plain,
( ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
! [X3: mworld] :
( ( mrel @ X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) )
= mbox ),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
( ( ^ [X4: mindex,X0: mworld > $o,X2: mworld] :
! [X5: mworld] :
( ( mrel @ X4 @ X2 @ X5 )
=> ( X0 @ X5 ) ) )
= mbox ),
file('/export/starexec/sandbox/tmp/tmp.rPnGjh2Ji9/Vampire---4.8_17495',mbox_def) ).
thf(f65,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f29,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f28]) ).
thf(f28,plain,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
( mand
= ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
( ( X3 @ X2 )
& ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rPnGjh2Ji9/Vampire---4.8_17495',mand_def) ).
thf(f80,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f56]) ).
thf(f56,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f55]) ).
thf(f55,plain,
( ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
( ( ^ [X1: mworld > $o,X2: mworld] :
~ ( X1 @ X2 ) )
= mnot ),
file('/export/starexec/sandbox/tmp/tmp.rPnGjh2Ji9/Vampire---4.8_17495',mnot_def) ).
thf(f64,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f52]) ).
thf(f52,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f51]) ).
thf(f51,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/sandbox/tmp/tmp.rPnGjh2Ji9/Vampire---4.8_17495',mimplies_def) ).
thf(f69,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f38]) ).
thf(f38,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f1,axiom,
( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
= mlocal ),
file('/export/starexec/sandbox/tmp/tmp.rPnGjh2Ji9/Vampire---4.8_17495',mlocal_def) ).
thf(f71,plain,
( ( mlocal @ ( mimplies @ ( mnot @ ( mimplies @ charge @ ( mand @ called @ ( mnot @ paid ) ) ) ) @ ( mbox @ '#u' @ ( mnot @ ( mimplies @ charge @ ( mand @ called @ ( mnot @ paid ) ) ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f59]) ).
thf(f59,plain,
( ( mlocal @ ( mimplies @ ( mnot @ ( mimplies @ charge @ ( mand @ called @ ( mnot @ paid ) ) ) ) @ ( mbox @ '#u' @ ( mnot @ ( mimplies @ charge @ ( mand @ called @ ( mnot @ paid ) ) ) ) ) ) )
!= $true ),
inference(flattening,[],[f48]) ).
thf(f48,plain,
( ( mlocal @ ( mimplies @ ( mnot @ ( mimplies @ charge @ ( mand @ called @ ( mnot @ paid ) ) ) ) @ ( mbox @ '#u' @ ( mnot @ ( mimplies @ charge @ ( mand @ called @ ( mnot @ paid ) ) ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f47]) ).
thf(f47,plain,
~ ( mlocal @ ( mimplies @ ( mnot @ ( mimplies @ charge @ ( mand @ called @ ( mnot @ paid ) ) ) ) @ ( mbox @ '#u' @ ( mnot @ ( mimplies @ charge @ ( mand @ called @ ( mnot @ paid ) ) ) ) ) ) ),
inference(rectify,[],[f20]) ).
thf(f20,negated_conjecture,
~ ( mlocal @ ( mimplies @ ( mnot @ ( mimplies @ charge @ ( mand @ called @ ( mnot @ paid ) ) ) ) @ ( mbox @ '#u' @ ( mnot @ ( mimplies @ charge @ ( mand @ called @ ( mnot @ paid ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f19]) ).
thf(f19,conjecture,
mlocal @ ( mimplies @ ( mnot @ ( mimplies @ charge @ ( mand @ called @ ( mnot @ paid ) ) ) ) @ ( mbox @ '#u' @ ( mnot @ ( mimplies @ charge @ ( mand @ called @ ( mnot @ paid ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rPnGjh2Ji9/Vampire---4.8_17495',requirement_1) ).
thf(f534,plain,
~ spl0_23,
inference(avatar_contradiction_clause,[],[f533]) ).
thf(f533,plain,
( $false
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f528]) ).
thf(f528,plain,
( ( $true = $false )
| ~ spl0_23 ),
inference(superposition,[],[f157,f438]) ).
thf(f438,plain,
( ( ( mrel @ '#u' @ mactual @ sK3 )
= $false )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f436]) ).
thf(f436,plain,
( spl0_23
<=> ( ( mrel @ '#u' @ mactual @ sK3 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
thf(f459,plain,
( spl0_24
| spl0_23
| ~ spl0_11
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f418,f295,f206,f436,f440]) ).
thf(f206,plain,
( spl0_11
<=> ! [X1: mworld] :
( ( $true
= ( mrel @ '#c' @ X1 @ ( sK2 @ X1 ) ) )
| ( ( mrel @ '#u' @ mactual @ X1 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
thf(f295,plain,
( spl0_19
<=> ! [X0: mworld] :
( ( $true
= ( called @ X0 ) )
| ( ( mrel @ '#c' @ sK3 @ X0 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
thf(f418,plain,
( ( ( mrel @ '#u' @ mactual @ sK3 )
= $false )
| ( $true
= ( called @ ( sK2 @ sK3 ) ) )
| ~ spl0_11
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f416]) ).
thf(f416,plain,
( ( $true
= ( called @ ( sK2 @ sK3 ) ) )
| ( $true = $false )
| ( ( mrel @ '#u' @ mactual @ sK3 )
= $false )
| ~ spl0_11
| ~ spl0_19 ),
inference(superposition,[],[f296,f207]) ).
thf(f207,plain,
( ! [X1: mworld] :
( ( $true
= ( mrel @ '#c' @ X1 @ ( sK2 @ X1 ) ) )
| ( ( mrel @ '#u' @ mactual @ X1 )
= $false ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f206]) ).
thf(f296,plain,
( ! [X0: mworld] :
( ( ( mrel @ '#c' @ sK3 @ X0 )
= $false )
| ( $true
= ( called @ X0 ) ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f295]) ).
thf(f338,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f337]) ).
thf(f337,plain,
( $false
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f333]) ).
thf(f333,plain,
( ( $true = $false )
| ~ spl0_18 ),
inference(superposition,[],[f251,f79]) ).
thf(f79,plain,
! [X0: mworld] :
( $true
= ( mrel @ '#c' @ X0 @ X0 ) ),
inference(cnf_transformation,[],[f31]) ).
thf(f31,plain,
! [X0: mworld] :
( $true
= ( mrel @ '#c' @ X0 @ X0 ) ),
inference(fool_elimination,[],[f30]) ).
thf(f30,plain,
! [X0: mworld] : ( mrel @ '#c' @ X0 @ X0 ),
inference(rectify,[],[f9]) ).
thf(f9,axiom,
! [X2: mworld] : ( mrel @ '#c' @ X2 @ X2 ),
file('/export/starexec/sandbox/tmp/tmp.rPnGjh2Ji9/Vampire---4.8_17495','mrel_#c_reflexive') ).
thf(f251,plain,
( ( ( mrel @ '#c' @ mactual @ mactual )
= $false )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f249]) ).
thf(f249,plain,
( spl0_18
<=> ( ( mrel @ '#c' @ mactual @ mactual )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
thf(f319,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f318]) ).
thf(f318,plain,
( $false
| ~ spl0_1
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f314]) ).
thf(f314,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_17 ),
inference(superposition,[],[f247,f166]) ).
thf(f166,plain,
( ( ( paid @ sK3 )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f164]) ).
thf(f164,plain,
( spl0_1
<=> ( ( paid @ sK3 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f247,plain,
( ( $true
= ( paid @ sK3 ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f245]) ).
thf(f245,plain,
( spl0_17
<=> ( $true
= ( paid @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
thf(f311,plain,
( ~ spl0_10
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f310]) ).
thf(f310,plain,
( $false
| ~ spl0_10
| spl0_15 ),
inference(subsumption_resolution,[],[f306,f222]) ).
thf(f222,plain,
( ( $true
!= ( called @ mactual ) )
| spl0_15 ),
inference(avatar_component_clause,[],[f221]) ).
thf(f221,plain,
( spl0_15
<=> ( $true
= ( called @ mactual ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
thf(f306,plain,
( ( $true
= ( called @ mactual ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f304]) ).
thf(f304,plain,
( ( $true
= ( called @ mactual ) )
| ( $true = $false )
| ~ spl0_10 ),
inference(superposition,[],[f203,f79]) ).
thf(f203,plain,
( ! [X2: mworld] :
( ( ( mrel @ '#c' @ mactual @ X2 )
= $false )
| ( $true
= ( called @ X2 ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f202]) ).
thf(f202,plain,
( spl0_10
<=> ! [X2: mworld] :
( ( $true
= ( called @ X2 ) )
| ( ( mrel @ '#c' @ mactual @ X2 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f302,plain,
( spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f290,f298,f295]) ).
thf(f290,plain,
! [X0: mworld] :
( ( $true
= ( called @ X0 ) )
| ( ( called @ sK3 )
= $false )
| ( ( mrel @ '#c' @ sK3 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f287]) ).
thf(f287,plain,
! [X0: mworld] :
( ( ( called @ sK3 )
= $false )
| ( $true
= ( called @ X0 ) )
| ( ( mrel @ '#c' @ sK3 @ X0 )
= $false )
| ( $true = $false ) ),
inference(superposition,[],[f145,f157]) ).
thf(f145,plain,
! [X2: mworld,X1: mworld] :
( ( ( mrel @ '#u' @ mactual @ X1 )
= $false )
| ( $true
= ( called @ X2 ) )
| ( ( mrel @ '#c' @ X1 @ X2 )
= $false )
| ( ( called @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f144]) ).
thf(f144,plain,
! [X2: mworld,X1: mworld] :
( ( ( mrel @ '#u' @ mactual @ X1 )
= $false )
| ( $true
= ( ( mrel @ '#c' @ X1 @ X2 )
=> ( called @ X2 ) ) )
| ( ( called @ X1 )
= $false ) ),
inference(beta_eta_normalization,[],[f143]) ).
thf(f143,plain,
! [X2: mworld,X1: mworld] :
( ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#c' @ X1 @ Y0 )
=> ( called @ Y0 ) )
@ X2 ) )
| ( ( mrel @ '#u' @ mactual @ X1 )
= $false )
| ( ( called @ X1 )
= $false ) ),
inference(pi_clausification,[],[f142]) ).
thf(f142,plain,
! [X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ X1 @ Y0 )
=> ( called @ Y0 ) ) )
= $true )
| ( ( mrel @ '#u' @ mactual @ X1 )
= $false )
| ( ( called @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f141]) ).
thf(f141,plain,
! [X1: mworld] :
( ( ( mrel @ '#u' @ mactual @ X1 )
= $false )
| ( ( ( called @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ X1 @ Y0 )
=> ( called @ Y0 ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f140]) ).
thf(f140,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ '#u' @ mactual @ X1 )
=> ( ( called @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ X1 @ Y0 )
=> ( called @ Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f139]) ).
thf(f139,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#u' @ mactual @ Y0 )
=> ( ( called @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#c' @ Y0 @ Y1 )
=> ( called @ Y1 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f138]) ).
thf(f138,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#u' @ mactual @ Y0 )
=> ( ( called @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#c' @ Y0 @ Y1 )
=> ( called @ Y1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f88]) ).
thf(f88,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#u'
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ called
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#c'
@ called ) ) ) ) ),
inference(definition_unfolding,[],[f78,f69,f68,f64,f68]) ).
thf(f78,plain,
( ( mlocal @ ( mbox @ '#u' @ ( mimplies @ called @ ( mbox @ '#c' @ called ) ) ) )
= $true ),
inference(cnf_transformation,[],[f42]) ).
thf(f42,plain,
( ( mlocal @ ( mbox @ '#u' @ ( mimplies @ called @ ( mbox @ '#c' @ called ) ) ) )
= $true ),
inference(fool_elimination,[],[f41]) ).
thf(f41,plain,
mlocal @ ( mbox @ '#u' @ ( mimplies @ called @ ( mbox @ '#c' @ called ) ) ),
inference(rectify,[],[f15]) ).
thf(f15,axiom,
mlocal @ ( mbox @ '#u' @ ( mimplies @ called @ ( mbox @ '#c' @ called ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rPnGjh2Ji9/Vampire---4.8_17495',axiom_1) ).
thf(f285,plain,
( ~ spl0_2
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f284]) ).
thf(f284,plain,
( $false
| ~ spl0_2
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f280]) ).
thf(f280,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f279,f170]) ).
thf(f170,plain,
( ( ( charge @ sK3 )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f168]) ).
thf(f168,plain,
( spl0_2
<=> ( ( charge @ sK3 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f279,plain,
( ( $true
= ( charge @ sK3 ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f273]) ).
thf(f273,plain,
( ( $true
= ( charge @ sK3 ) )
| ( $true = $false )
| ~ spl0_8 ),
inference(superposition,[],[f196,f157]) ).
thf(f196,plain,
( ! [X1: mworld] :
( ( ( mrel @ '#u' @ mactual @ X1 )
= $false )
| ( $true
= ( charge @ X1 ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f195]) ).
thf(f195,plain,
( spl0_8
<=> ! [X1: mworld] :
( ( ( mrel @ '#u' @ mactual @ X1 )
= $false )
| ( $true
= ( charge @ X1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f266,plain,
( ~ spl0_5
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f265]) ).
thf(f265,plain,
( $false
| ~ spl0_5
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f261]) ).
thf(f261,plain,
( ( $true = $false )
| ~ spl0_5
| ~ spl0_15 ),
inference(superposition,[],[f184,f223]) ).
thf(f223,plain,
( ( $true
= ( called @ mactual ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f221]) ).
thf(f184,plain,
( ( ( called @ mactual )
= $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f182]) ).
thf(f182,plain,
( spl0_5
<=> ( ( called @ mactual )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f259,plain,
( ~ spl0_4
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f258]) ).
thf(f258,plain,
( $false
| ~ spl0_4
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f255]) ).
thf(f255,plain,
( ( $true = $false )
| ~ spl0_4
| ~ spl0_16 ),
inference(superposition,[],[f180,f227]) ).
thf(f227,plain,
( ( ( paid @ mactual )
= $false )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f225]) ).
thf(f225,plain,
( spl0_16
<=> ( ( paid @ mactual )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
thf(f180,plain,
( ( $true
= ( paid @ mactual ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f178]) ).
thf(f178,plain,
( spl0_4
<=> ( $true
= ( paid @ mactual ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f253,plain,
( spl0_17
| spl0_18
| spl0_16 ),
inference(avatar_split_clause,[],[f240,f225,f249,f245]) ).
thf(f240,plain,
( ( ( paid @ mactual )
= $false )
| ( ( mrel @ '#c' @ mactual @ mactual )
= $false )
| ( $true
= ( paid @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f237]) ).
thf(f237,plain,
( ( $true = $false )
| ( $true
= ( paid @ sK3 ) )
| ( ( mrel @ '#c' @ mactual @ mactual )
= $false )
| ( ( paid @ mactual )
= $false ) ),
inference(superposition,[],[f127,f157]) ).
thf(f127,plain,
! [X2: mworld,X1: mworld] :
( ( ( mrel @ '#u' @ X1 @ X2 )
= $false )
| ( $true
= ( paid @ X2 ) )
| ( ( mrel @ '#c' @ mactual @ X1 )
= $false )
| ( ( paid @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f126]) ).
thf(f126,plain,
! [X2: mworld,X1: mworld] :
( ( ( paid @ X1 )
= $false )
| ( ( mrel @ '#c' @ mactual @ X1 )
= $false )
| ( ( ( mrel @ '#u' @ X1 @ X2 )
=> ( paid @ X2 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f125]) ).
thf(f125,plain,
! [X2: mworld,X1: mworld] :
( ( ( paid @ X1 )
= $false )
| ( ( mrel @ '#c' @ mactual @ X1 )
= $false )
| ( ( ^ [Y0: mworld] :
( ( mrel @ '#u' @ X1 @ Y0 )
=> ( paid @ Y0 ) )
@ X2 )
= $true ) ),
inference(pi_clausification,[],[f124]) ).
thf(f124,plain,
! [X1: mworld] :
( ( ( paid @ X1 )
= $false )
| ( ( mrel @ '#c' @ mactual @ X1 )
= $false )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#u' @ X1 @ Y0 )
=> ( paid @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f123]) ).
thf(f123,plain,
! [X1: mworld] :
( ( $true
= ( ( paid @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#u' @ X1 @ Y0 )
=> ( paid @ Y0 ) ) ) ) )
| ( ( mrel @ '#c' @ mactual @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f122]) ).
thf(f122,plain,
! [X1: mworld] :
( ( ( mrel @ '#c' @ mactual @ X1 )
=> ( ( paid @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#u' @ X1 @ Y0 )
=> ( paid @ Y0 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f121]) ).
thf(f121,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#c' @ mactual @ Y0 )
=> ( ( paid @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#u' @ Y0 @ Y1 )
=> ( paid @ Y1 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f120]) ).
thf(f120,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ mactual @ Y0 )
=> ( ( paid @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#u' @ Y0 @ Y1 )
=> ( paid @ Y1 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f89]) ).
thf(f89,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#c'
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ paid
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#u'
@ paid ) ) ) ) ),
inference(definition_unfolding,[],[f82,f69,f68,f64,f68]) ).
thf(f82,plain,
( ( mlocal @ ( mbox @ '#c' @ ( mimplies @ paid @ ( mbox @ '#u' @ paid ) ) ) )
= $true ),
inference(cnf_transformation,[],[f40]) ).
thf(f40,plain,
( ( mlocal @ ( mbox @ '#c' @ ( mimplies @ paid @ ( mbox @ '#u' @ paid ) ) ) )
= $true ),
inference(fool_elimination,[],[f39]) ).
thf(f39,plain,
mlocal @ ( mbox @ '#c' @ ( mimplies @ paid @ ( mbox @ '#u' @ paid ) ) ),
inference(rectify,[],[f16]) ).
thf(f16,axiom,
mlocal @ ( mbox @ '#c' @ ( mimplies @ paid @ ( mbox @ '#u' @ paid ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rPnGjh2Ji9/Vampire---4.8_17495',axiom_2) ).
thf(f234,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f233]) ).
thf(f233,plain,
( $false
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f230]) ).
thf(f230,plain,
( ( $true = $false )
| ~ spl0_7 ),
inference(superposition,[],[f192,f151]) ).
thf(f151,plain,
( $true
= ( charge @ mactual ) ),
inference(binary_proxy_clausification,[],[f149]) ).
thf(f149,plain,
( ( ( charge @ mactual )
=> ( ( called @ mactual )
& ~ ( paid @ mactual ) ) )
= $false ),
inference(not_proxy_clausification,[],[f148]) ).
thf(f148,plain,
( $true
= ( ~ ( ( charge @ mactual )
=> ( ( called @ mactual )
& ~ ( paid @ mactual ) ) ) ) ),
inference(binary_proxy_clausification,[],[f146]) ).
thf(f192,plain,
( ( ( charge @ mactual )
= $false )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f190]) ).
thf(f190,plain,
( spl0_7
<=> ( ( charge @ mactual )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f208,plain,
( spl0_11
| spl0_10 ),
inference(avatar_split_clause,[],[f119,f202,f206]) ).
thf(f119,plain,
! [X2: mworld,X1: mworld] :
( ( $true
= ( mrel @ '#c' @ X1 @ ( sK2 @ X1 ) ) )
| ( ( mrel @ '#c' @ mactual @ X2 )
= $false )
| ( ( mrel @ '#u' @ mactual @ X1 )
= $false )
| ( $true
= ( called @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f117]) ).
thf(f117,plain,
! [X2: mworld,X1: mworld] :
( ( ( ( mrel @ '#c' @ X1 @ ( sK2 @ X1 ) )
=> ( called @ ( sK2 @ X1 ) ) )
= $false )
| ( $true
= ( called @ X2 ) )
| ( ( mrel @ '#u' @ mactual @ X1 )
= $false )
| ( ( mrel @ '#c' @ mactual @ X2 )
= $false ) ),
inference(beta_eta_normalization,[],[f116]) ).
thf(f116,plain,
! [X2: mworld,X1: mworld] :
( ( $true
= ( called @ X2 ) )
| ( ( ^ [Y0: mworld] :
( ( mrel @ '#c' @ X1 @ Y0 )
=> ( called @ Y0 ) )
@ ( sK2 @ X1 ) )
= $false )
| ( ( mrel @ '#c' @ mactual @ X2 )
= $false )
| ( ( mrel @ '#u' @ mactual @ X1 )
= $false ) ),
inference(sigma_clausification,[],[f115]) ).
thf(f115,plain,
! [X2: mworld,X1: mworld] :
( ( $true
= ( called @ X2 ) )
| ( ( mrel @ '#u' @ mactual @ X1 )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ X1 @ Y0 )
=> ( called @ Y0 ) ) )
= $false )
| ( ( mrel @ '#c' @ mactual @ X2 )
= $false ) ),
inference(not_proxy_clausification,[],[f114]) ).
thf(f114,plain,
! [X2: mworld,X1: mworld] :
( ( ( mrel @ '#c' @ mactual @ X2 )
= $false )
| ( $true
= ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ X1 @ Y0 )
=> ( called @ Y0 ) ) ) ) )
| ( $true
= ( called @ X2 ) )
| ( ( mrel @ '#u' @ mactual @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f113]) ).
thf(f113,plain,
! [X2: mworld,X1: mworld] :
( ( $true
= ( ( mrel @ '#c' @ mactual @ X2 )
=> ( called @ X2 ) ) )
| ( $true
= ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ X1 @ Y0 )
=> ( called @ Y0 ) ) ) ) )
| ( ( mrel @ '#u' @ mactual @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f112]) ).
thf(f112,plain,
! [X2: mworld,X1: mworld] :
( ( $true
= ( ( mrel @ '#u' @ mactual @ X1 )
=> ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ X1 @ Y0 )
=> ( called @ Y0 ) ) ) ) )
| ( $true
= ( ( mrel @ '#c' @ mactual @ X2 )
=> ( called @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f111]) ).
thf(f111,plain,
! [X2: mworld,X1: mworld] :
( ( $true
= ( ( mrel @ '#u' @ mactual @ X1 )
=> ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ X1 @ Y0 )
=> ( called @ Y0 ) ) ) ) )
| ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#c' @ mactual @ Y0 )
=> ( called @ Y0 ) )
@ X2 ) ) ),
inference(pi_clausification,[],[f110]) ).
thf(f110,plain,
! [X1: mworld] :
( ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ mactual @ Y0 )
=> ( called @ Y0 ) ) ) )
| ( $true
= ( ( mrel @ '#u' @ mactual @ X1 )
=> ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ X1 @ Y0 )
=> ( called @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f109]) ).
thf(f109,plain,
! [X1: mworld] :
( ( ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ mactual @ Y0 )
=> ( called @ Y0 ) ) ) )
= $false )
| ( $true
= ( ( mrel @ '#u' @ mactual @ X1 )
=> ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ X1 @ Y0 )
=> ( called @ Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f108]) ).
thf(f108,plain,
! [X1: mworld] :
( ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#u' @ mactual @ Y0 )
=> ~ ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#c' @ Y0 @ Y1 )
=> ( called @ Y1 ) ) ) )
@ X1 ) )
| ( ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ mactual @ Y0 )
=> ( called @ Y0 ) ) ) )
= $false ) ),
inference(pi_clausification,[],[f107]) ).
thf(f107,plain,
( ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#u' @ mactual @ Y0 )
=> ~ ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#c' @ Y0 @ Y1 )
=> ( called @ Y1 ) ) ) ) ) )
| ( ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ mactual @ Y0 )
=> ( called @ Y0 ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f106]) ).
thf(f106,plain,
( $true
= ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ mactual @ Y0 )
=> ( called @ Y0 ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#u' @ mactual @ Y0 )
=> ~ ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#c' @ Y0 @ Y1 )
=> ( called @ Y1 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f87]) ).
thf(f87,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: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#c'
@ called ) )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#u'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#c'
@ called ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f75,f69,f64,f80,f68,f68,f80,f68]) ).
thf(f75,plain,
( ( mlocal @ ( mimplies @ ( mnot @ ( mbox @ '#c' @ called ) ) @ ( mbox @ '#u' @ ( mnot @ ( mbox @ '#c' @ called ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f54]) ).
thf(f54,plain,
( ( mlocal @ ( mimplies @ ( mnot @ ( mbox @ '#c' @ called ) ) @ ( mbox @ '#u' @ ( mnot @ ( mbox @ '#c' @ called ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f53]) ).
thf(f53,plain,
mlocal @ ( mimplies @ ( mnot @ ( mbox @ '#c' @ called ) ) @ ( mbox @ '#u' @ ( mnot @ ( mbox @ '#c' @ called ) ) ) ),
inference(rectify,[],[f17]) ).
thf(f17,axiom,
mlocal @ ( mimplies @ ( mnot @ ( mbox @ '#c' @ called ) ) @ ( mbox @ '#u' @ ( mnot @ ( mbox @ '#c' @ called ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rPnGjh2Ji9/Vampire---4.8_17495',axiom_3) ).
thf(f204,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f118,f202,f199]) ).
thf(f118,plain,
! [X2: mworld,X1: mworld] :
( ( $true
= ( called @ X2 ) )
| ( ( called @ ( sK2 @ X1 ) )
= $false )
| ( ( mrel @ '#u' @ mactual @ X1 )
= $false )
| ( ( mrel @ '#c' @ mactual @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[],[f117]) ).
thf(f197,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f134,f190,f195]) ).
thf(f134,plain,
! [X1: mworld] :
( ( ( mrel @ '#u' @ mactual @ X1 )
= $false )
| ( ( charge @ mactual )
= $false )
| ( $true
= ( charge @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f133]) ).
thf(f133,plain,
! [X1: mworld] :
( ( $true
= ( ( mrel @ '#u' @ mactual @ X1 )
=> ( charge @ X1 ) ) )
| ( ( charge @ mactual )
= $false ) ),
inference(beta_eta_normalization,[],[f132]) ).
thf(f132,plain,
! [X1: mworld] :
( ( ( charge @ mactual )
= $false )
| ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#u' @ mactual @ Y0 )
=> ( charge @ Y0 ) )
@ X1 ) ) ),
inference(pi_clausification,[],[f131]) ).
thf(f131,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#u' @ mactual @ Y0 )
=> ( charge @ Y0 ) ) )
= $true )
| ( ( charge @ mactual )
= $false ) ),
inference(binary_proxy_clausification,[],[f129]) ).
thf(f129,plain,
( ( $true
= ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#u' @ mactual @ Y0 )
=> ( charge @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ mactual @ Y0 )
=> ( charge @ Y0 ) ) ) ) )
| ( ( charge @ mactual )
= $false ) ),
inference(binary_proxy_clausification,[],[f128]) ).
thf(f128,plain,
( ( ( charge @ mactual )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#u' @ mactual @ Y0 )
=> ( charge @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ mactual @ Y0 )
=> ( charge @ Y0 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f83]) ).
thf(f83,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ charge
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#u'
@ charge )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#c'
@ charge ) ) ) ) ),
inference(definition_unfolding,[],[f70,f69,f64,f65,f68,f68]) ).
thf(f70,plain,
( ( mlocal @ ( mimplies @ charge @ ( mand @ ( mbox @ '#u' @ charge ) @ ( mbox @ '#c' @ charge ) ) ) )
= $true ),
inference(cnf_transformation,[],[f27]) ).
thf(f27,plain,
( ( mlocal @ ( mimplies @ charge @ ( mand @ ( mbox @ '#u' @ charge ) @ ( mbox @ '#c' @ charge ) ) ) )
= $true ),
inference(fool_elimination,[],[f26]) ).
thf(f26,plain,
mlocal @ ( mimplies @ charge @ ( mand @ ( mbox @ '#u' @ charge ) @ ( mbox @ '#c' @ charge ) ) ),
inference(rectify,[],[f14]) ).
thf(f14,axiom,
mlocal @ ( mimplies @ charge @ ( mand @ ( mbox @ '#u' @ charge ) @ ( mbox @ '#c' @ charge ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rPnGjh2Ji9/Vampire---4.8_17495',axiom_charge_u) ).
thf(f185,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f153,f182,f178]) ).
thf(f153,plain,
( ( ( called @ mactual )
= $false )
| ( $true
= ( paid @ mactual ) ) ),
inference(not_proxy_clausification,[],[f152]) ).
thf(f152,plain,
( ( ( called @ mactual )
= $false )
| ( ( ~ ( paid @ mactual ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f150]) ).
thf(f150,plain,
( ( ( called @ mactual )
& ~ ( paid @ mactual ) )
= $false ),
inference(binary_proxy_clausification,[],[f149]) ).
thf(f176,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f161,f168,f173]) ).
thf(f161,plain,
( ( $true
= ( called @ sK3 ) )
| ( ( charge @ sK3 )
= $false ) ),
inference(binary_proxy_clausification,[],[f159]) ).
thf(f159,plain,
( ( $true
= ( ( called @ sK3 )
& ~ ( paid @ sK3 ) ) )
| ( ( charge @ sK3 )
= $false ) ),
inference(binary_proxy_clausification,[],[f158]) ).
thf(f158,plain,
( $true
= ( ( charge @ sK3 )
=> ( ( called @ sK3 )
& ~ ( paid @ sK3 ) ) ) ),
inference(not_proxy_clausification,[],[f156]) ).
thf(f156,plain,
( ( ~ ( ( charge @ sK3 )
=> ( ( called @ sK3 )
& ~ ( paid @ sK3 ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f155]) ).
thf(f171,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f162,f168,f164]) ).
thf(f162,plain,
( ( ( charge @ sK3 )
= $false )
| ( ( paid @ sK3 )
= $false ) ),
inference(not_proxy_clausification,[],[f160]) ).
thf(f160,plain,
( ( ( charge @ sK3 )
= $false )
| ( $true
= ( ~ ( paid @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[],[f159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : PRO029^16 : TPTP v8.1.2. Released v8.1.0.
% 0.05/0.09 % 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
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri May 3 20:36:07 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.28 This is a TH0_THM_EQU_NAR problem
% 0.09/0.28 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.rPnGjh2Ji9/Vampire---4.8_17495
% 0.09/0.30 % (17745)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)
% 0.09/0.30 % (17746)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)
% 0.09/0.30 % (17748)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.09/0.30 % (17749)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)
% 0.09/0.30 % (17750)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)
% 0.09/0.30 % (17748)Instruction limit reached!
% 0.09/0.30 % (17748)------------------------------
% 0.09/0.30 % (17748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (17748)Termination reason: Unknown
% 0.09/0.30 % (17748)Termination phase: shuffling
% 0.09/0.30
% 0.09/0.30 % (17748)Memory used [KB]: 895
% 0.09/0.30 % (17748)Time elapsed: 0.002 s
% 0.09/0.30 % (17748)Instructions burned: 2 (million)
% 0.09/0.30 % (17749)Instruction limit reached!
% 0.09/0.30 % (17749)------------------------------
% 0.09/0.30 % (17749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (17749)Termination reason: Unknown
% 0.09/0.30 % (17749)Termination phase: shuffling
% 0.09/0.30
% 0.09/0.30 % (17749)Memory used [KB]: 1023
% 0.09/0.30 % (17749)Time elapsed: 0.002 s
% 0.09/0.30 % (17749)Instructions burned: 2 (million)
% 0.09/0.30 % (17749)------------------------------
% 0.09/0.30 % (17749)------------------------------
% 0.09/0.30 % (17748)------------------------------
% 0.09/0.30 % (17748)------------------------------
% 0.09/0.30 % (17746)Instruction limit reached!
% 0.09/0.30 % (17746)------------------------------
% 0.09/0.30 % (17746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (17746)Termination reason: Unknown
% 0.09/0.30 % (17746)Termination phase: Property scanning
% 0.09/0.30
% 0.09/0.30 % (17746)Memory used [KB]: 1023
% 0.09/0.30 % (17746)Time elapsed: 0.003 s
% 0.09/0.30 % (17746)Instructions burned: 5 (million)
% 0.09/0.30 % (17746)------------------------------
% 0.09/0.30 % (17746)------------------------------
% 0.09/0.30 % (17750)Refutation not found, incomplete strategy
% 0.09/0.30 % (17750)------------------------------
% 0.09/0.30 % (17750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (17750)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.30
% 0.09/0.30
% 0.09/0.30 % (17750)Memory used [KB]: 5500
% 0.09/0.30 % (17750)Time elapsed: 0.003 s
% 0.09/0.30 % (17750)Instructions burned: 4 (million)
% 0.09/0.30 % (17750)------------------------------
% 0.09/0.30 % (17750)------------------------------
% 0.09/0.30 % (17751)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.09/0.30 % (17747)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)
% 0.09/0.30 % (17752)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)
% 0.09/0.30 % (17752)Instruction limit reached!
% 0.09/0.30 % (17752)------------------------------
% 0.09/0.30 % (17752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (17752)Termination reason: Unknown
% 0.09/0.30 % (17752)Termination phase: Property scanning
% 0.09/0.30
% 0.09/0.30 % (17752)Memory used [KB]: 1023
% 0.09/0.30 % (17752)Time elapsed: 0.003 s
% 0.09/0.30 % (17752)Instructions burned: 3 (million)
% 0.09/0.30 % (17752)------------------------------
% 0.09/0.30 % (17752)------------------------------
% 0.09/0.31 % (17753)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)
% 0.09/0.31 % (17754)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)
% 0.09/0.31 % (17755)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)
% 0.09/0.31 % (17755)Instruction limit reached!
% 0.09/0.31 % (17755)------------------------------
% 0.09/0.31 % (17755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.31 % (17755)Termination reason: Unknown
% 0.09/0.31 % (17755)Termination phase: shuffling
% 0.09/0.31
% 0.09/0.31 % (17755)Memory used [KB]: 1023
% 0.09/0.31 % (17755)Time elapsed: 0.002 s
% 0.09/0.31 % (17755)Instructions burned: 3 (million)
% 0.09/0.31 % (17755)------------------------------
% 0.09/0.31 % (17755)------------------------------
% 0.09/0.31 % (17756)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)
% 0.13/0.31 % (17751)Instruction limit reached!
% 0.13/0.31 % (17751)------------------------------
% 0.13/0.31 % (17751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.31 % (17751)Termination reason: Unknown
% 0.13/0.31 % (17751)Termination phase: Saturation
% 0.13/0.31
% 0.13/0.31 % (17751)Memory used [KB]: 5628
% 0.13/0.31 % (17751)Time elapsed: 0.011 s
% 0.13/0.31 % (17751)Instructions burned: 18 (million)
% 0.13/0.31 % (17751)------------------------------
% 0.13/0.31 % (17751)------------------------------
% 0.13/0.31 % (17754)Instruction limit reached!
% 0.13/0.31 % (17754)------------------------------
% 0.13/0.31 % (17754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.31 % (17754)Termination reason: Unknown
% 0.13/0.31 % (17754)Termination phase: Saturation
% 0.13/0.31
% 0.13/0.31 % (17754)Memory used [KB]: 5628
% 0.13/0.31 % (17754)Time elapsed: 0.007 s
% 0.13/0.31 % (17754)Instructions burned: 16 (million)
% 0.13/0.31 % (17754)------------------------------
% 0.13/0.31 % (17754)------------------------------
% 0.13/0.31 % (17745)First to succeed.
% 0.13/0.32 % (17757)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)
% 0.13/0.32 % (17758)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)
% 0.13/0.32 % (17745)Refutation found. Thanks to Tanya!
% 0.13/0.32 % SZS status Theorem for Vampire---4
% 0.13/0.32 % SZS output start Proof for Vampire---4
% See solution above
% 0.13/0.32 % (17745)------------------------------
% 0.13/0.32 % (17745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32 % (17745)Termination reason: Refutation
% 0.13/0.32
% 0.13/0.32 % (17745)Memory used [KB]: 5884
% 0.13/0.32 % (17745)Time elapsed: 0.021 s
% 0.13/0.32 % (17745)Instructions burned: 44 (million)
% 0.13/0.32 % (17745)------------------------------
% 0.13/0.32 % (17745)------------------------------
% 0.13/0.32 % (17744)Success in time 0.019 s
% 0.13/0.32 % Vampire---4.8 exiting
%------------------------------------------------------------------------------