TSTP Solution File: LCL962^16 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL962^16 : 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/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 : Tue May 21 00:24:13 EDT 2024
% Result : Theorem 0.15s 0.32s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 32
% Syntax : Number of formulae : 118 ( 46 unt; 20 typ; 0 def)
% Number of atoms : 604 ( 136 equ; 0 cnn)
% Maximal formula atoms : 9 ( 6 avg)
% Number of connectives : 819 ( 53 ~; 78 |; 0 &; 591 @)
% ( 3 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 77 ( 77 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 19 usr; 10 con; 0-3 aty)
% ( 33 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 156 ( 110 ^ 45 !; 0 ?; 156 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% 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,
'#b': mindex ).
thf(func_def_4,type,
'#a': 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,
p: mworld > $o ).
thf(func_def_16,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_32,type,
sK1: mworld > mworld ).
thf(func_def_33,type,
sK2: mworld ).
thf(f188,plain,
$false,
inference(avatar_sat_refutation,[],[f111,f115,f160,f187]) ).
thf(f187,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f186]) ).
thf(f186,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f185]) ).
thf(f185,plain,
( ( $true = $false )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f180,f84]) ).
thf(f84,plain,
( ( p @ mactual )
= $false ),
inference(not_proxy_clausification,[],[f83]) ).
thf(f83,plain,
( $true
= ( ~ ( p @ mactual ) ) ),
inference(beta_eta_normalization,[],[f74]) ).
thf(f74,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ p ) ) ),
inference(definition_unfolding,[],[f66,f56,f65]) ).
thf(f65,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f32,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f31]) ).
thf(f31,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/benchmark/theBenchmark.p',mnot_def) ).
thf(f56,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f45]) ).
thf(f45,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f1,axiom,
( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
= mlocal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(f66,plain,
( ( mlocal @ ( mnot @ p ) )
= $true ),
inference(cnf_transformation,[],[f38]) ).
thf(f38,plain,
( ( mlocal @ ( mnot @ p ) )
= $true ),
inference(fool_elimination,[],[f37]) ).
thf(f37,plain,
mlocal @ ( mnot @ p ),
inference(rectify,[],[f15]) ).
thf(f15,axiom,
mlocal @ ( mnot @ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_a_axiom_1) ).
thf(f180,plain,
( ( ( p @ mactual )
= $true )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f178]) ).
thf(f178,plain,
( ( ( p @ mactual )
= $true )
| ( $true = $false )
| ~ spl0_1 ),
inference(superposition,[],[f60,f107]) ).
thf(f107,plain,
( ! [X2: mworld] :
( ( ( mrel @ '#b' @ mactual @ X2 )
= $false )
| ( ( p @ X2 )
= $true ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f106]) ).
thf(f106,plain,
( spl0_1
<=> ! [X2: mworld] :
( ( ( mrel @ '#b' @ mactual @ X2 )
= $false )
| ( ( p @ X2 )
= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f60,plain,
! [X0: mworld] :
( ( mrel @ '#b' @ X0 @ X0 )
= $true ),
inference(cnf_transformation,[],[f47]) ).
thf(f47,plain,
! [X0: mworld] :
( ( mrel @ '#b' @ X0 @ X0 )
= $true ),
inference(fool_elimination,[],[f46]) ).
thf(f46,plain,
! [X0: mworld] : ( mrel @ '#b' @ X0 @ X0 ),
inference(rectify,[],[f9]) ).
thf(f9,axiom,
! [X2: mworld] : ( mrel @ '#b' @ X2 @ X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','mrel_#b_reflexive') ).
thf(f160,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f159]) ).
thf(f159,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f157]) ).
thf(f157,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f103,f154]) ).
thf(f154,plain,
( ( ( mrel @ '#a' @ mactual @ sK2 )
= $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f153]) ).
thf(f153,plain,
( ( ( mrel @ '#a' @ mactual @ sK2 )
= $false )
| ( $true = $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f152,f121]) ).
thf(f121,plain,
( ( ( p @ ( sK1 @ sK2 ) )
= $false )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f117]) ).
thf(f117,plain,
( ( $true = $false )
| ( ( p @ ( sK1 @ sK2 ) )
= $false )
| ~ spl0_2 ),
inference(superposition,[],[f110,f103]) ).
thf(f110,plain,
( ! [X1: mworld] :
( ( ( mrel @ '#a' @ mactual @ X1 )
= $false )
| ( ( p @ ( sK1 @ X1 ) )
= $false ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f109]) ).
thf(f109,plain,
( spl0_2
<=> ! [X1: mworld] :
( ( ( mrel @ '#a' @ mactual @ X1 )
= $false )
| ( ( p @ ( sK1 @ X1 ) )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f152,plain,
( ( ( mrel @ '#a' @ mactual @ sK2 )
= $false )
| ( ( p @ ( sK1 @ sK2 ) )
= $true )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f148]) ).
thf(f148,plain,
( ( $true = $false )
| ( ( mrel @ '#a' @ mactual @ sK2 )
= $false )
| ( ( p @ ( sK1 @ sK2 ) )
= $true )
| ~ spl0_3 ),
inference(superposition,[],[f114,f133]) ).
thf(f133,plain,
! [X0: mworld] :
( ( ( mrel @ '#b' @ sK2 @ X0 )
= $false )
| ( $true
= ( p @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f132]) ).
thf(f132,plain,
! [X0: mworld] :
( ( $true = $false )
| ( ( mrel @ '#b' @ sK2 @ X0 )
= $false )
| ( $true
= ( p @ X0 ) ) ),
inference(forward_demodulation,[],[f129,f104]) ).
thf(f104,plain,
( $true
= ( p @ sK2 ) ),
inference(not_proxy_clausification,[],[f102]) ).
thf(f102,plain,
( ( ~ ( p @ sK2 ) )
= $false ),
inference(binary_proxy_clausification,[],[f101]) ).
thf(f101,plain,
( ( ( mrel @ '#a' @ mactual @ sK2 )
=> ~ ( p @ sK2 ) )
= $false ),
inference(beta_eta_normalization,[],[f100]) ).
thf(f100,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ '#a' @ mactual @ Y0 )
=> ~ ( p @ Y0 ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[],[f99]) ).
thf(f99,plain,
( $true
!= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#a' @ mactual @ Y0 )
=> ~ ( p @ Y0 ) ) ) ),
inference(beta_eta_normalization,[],[f71]) ).
thf(f71,plain,
( $true
!= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#a'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ p ) ) ) ),
inference(definition_unfolding,[],[f59,f56,f67,f65]) ).
thf(f67,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f44]) ).
thf(f44,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f43]) ).
thf(f43,plain,
( mbox
= ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
! [X3: mworld] :
( ( mrel @ X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
( mbox
= ( ^ [X4: mindex,X0: mworld > $o,X2: mworld] :
! [X5: mworld] :
( ( mrel @ X4 @ X2 @ X5 )
=> ( X0 @ X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(f59,plain,
( ( mlocal @ ( mbox @ '#a' @ ( mnot @ p ) ) )
!= $true ),
inference(cnf_transformation,[],[f50]) ).
thf(f50,plain,
( ( mlocal @ ( mbox @ '#a' @ ( mnot @ p ) ) )
!= $true ),
inference(flattening,[],[f30]) ).
thf(f30,plain,
( ( mlocal @ ( mbox @ '#a' @ ( mnot @ p ) ) )
!= $true ),
inference(fool_elimination,[],[f29]) ).
thf(f29,plain,
~ ( mlocal @ ( mbox @ '#a' @ ( mnot @ p ) ) ),
inference(rectify,[],[f17]) ).
thf(f17,negated_conjecture,
~ ( mlocal @ ( mbox @ '#a' @ ( mnot @ p ) ) ),
inference(negated_conjecture,[],[f16]) ).
thf(f16,conjecture,
mlocal @ ( mbox @ '#a' @ ( mnot @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f129,plain,
! [X0: mworld] :
( ( ( p @ sK2 )
= $false )
| ( $true
= ( p @ X0 ) )
| ( ( mrel @ '#b' @ sK2 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f125]) ).
thf(f125,plain,
! [X0: mworld] :
( ( ( mrel @ '#b' @ sK2 @ X0 )
= $false )
| ( $true
= ( p @ X0 ) )
| ( ( p @ sK2 )
= $false )
| ( $true = $false ) ),
inference(superposition,[],[f82,f103]) ).
thf(f82,plain,
! [X2: mworld,X1: mworld] :
( ( ( mrel @ '#a' @ mactual @ X1 )
= $false )
| ( ( p @ X1 )
= $false )
| ( ( p @ X2 )
= $true )
| ( ( mrel @ '#b' @ X1 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[],[f81]) ).
thf(f81,plain,
! [X2: mworld,X1: mworld] :
( ( ( mrel @ '#a' @ mactual @ X1 )
= $false )
| ( ( p @ X1 )
= $false )
| ( $true
= ( ( mrel @ '#b' @ X1 @ X2 )
=> ( p @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f80]) ).
thf(f80,plain,
! [X2: mworld,X1: mworld] :
( ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#b' @ X1 @ Y0 )
=> ( p @ Y0 ) )
@ X2 ) )
| ( ( mrel @ '#a' @ mactual @ X1 )
= $false )
| ( ( p @ X1 )
= $false ) ),
inference(pi_clausification,[],[f79]) ).
thf(f79,plain,
! [X1: mworld] :
( ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ X1 @ Y0 )
=> ( p @ Y0 ) ) ) )
| ( ( mrel @ '#a' @ mactual @ X1 )
= $false )
| ( ( p @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f78]) ).
thf(f78,plain,
! [X1: mworld] :
( ( ( ( p @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ X1 @ Y0 )
=> ( p @ Y0 ) ) ) )
= $true )
| ( ( mrel @ '#a' @ mactual @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f77]) ).
thf(f77,plain,
! [X1: mworld] :
( ( ( mrel @ '#a' @ mactual @ X1 )
=> ( ( p @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ X1 @ Y0 )
=> ( p @ Y0 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f76]) ).
thf(f76,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#a' @ mactual @ Y0 )
=> ( ( p @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b' @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f75]) ).
thf(f75,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#a' @ mactual @ Y0 )
=> ( ( p @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b' @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f72]) ).
thf(f72,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#a'
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ p
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#b'
@ p ) ) ) ) ),
inference(definition_unfolding,[],[f62,f56,f67,f70,f67]) ).
thf(f70,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f40]) ).
thf(f40,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f39]) ).
thf(f39,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) )
= mimplies ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
( ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
=> ( X3 @ X2 ) ) )
= mimplies ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).
thf(f62,plain,
( ( mlocal @ ( mbox @ '#a' @ ( mimplies @ p @ ( mbox @ '#b' @ p ) ) ) )
= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f20,plain,
( ( mlocal @ ( mbox @ '#a' @ ( mimplies @ p @ ( mbox @ '#b' @ p ) ) ) )
= $true ),
inference(fool_elimination,[],[f19]) ).
thf(f19,plain,
mlocal @ ( mbox @ '#a' @ ( mimplies @ p @ ( mbox @ '#b' @ p ) ) ),
inference(rectify,[],[f13]) ).
thf(f13,axiom,
mlocal @ ( mbox @ '#a' @ ( mimplies @ p @ ( mbox @ '#b' @ p ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_axiom_1) ).
thf(f114,plain,
( ! [X1: mworld] :
( ( $true
= ( mrel @ '#b' @ X1 @ ( sK1 @ X1 ) ) )
| ( ( mrel @ '#a' @ mactual @ X1 )
= $false ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f113]) ).
thf(f113,plain,
( spl0_3
<=> ! [X1: mworld] :
( ( ( mrel @ '#a' @ mactual @ X1 )
= $false )
| ( $true
= ( mrel @ '#b' @ X1 @ ( sK1 @ X1 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f103,plain,
( $true
= ( mrel @ '#a' @ mactual @ sK2 ) ),
inference(binary_proxy_clausification,[],[f101]) ).
thf(f115,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f98,f113,f106]) ).
thf(f98,plain,
! [X2: mworld,X1: mworld] :
( ( ( mrel @ '#a' @ mactual @ X1 )
= $false )
| ( ( p @ X2 )
= $true )
| ( $true
= ( mrel @ '#b' @ X1 @ ( sK1 @ X1 ) ) )
| ( ( mrel @ '#b' @ mactual @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[],[f96]) ).
thf(f96,plain,
! [X2: mworld,X1: mworld] :
( ( ( mrel @ '#b' @ mactual @ X2 )
= $false )
| ( ( p @ X2 )
= $true )
| ( ( ( mrel @ '#b' @ X1 @ ( sK1 @ X1 ) )
=> ( p @ ( sK1 @ X1 ) ) )
= $false )
| ( ( mrel @ '#a' @ mactual @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f95]) ).
thf(f95,plain,
! [X2: mworld,X1: mworld] :
( ( ( ( mrel @ '#b' @ mactual @ X2 )
=> ( p @ X2 ) )
= $true )
| ( ( mrel @ '#a' @ mactual @ X1 )
= $false )
| ( ( ( mrel @ '#b' @ X1 @ ( sK1 @ X1 ) )
=> ( p @ ( sK1 @ X1 ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f94]) ).
thf(f94,plain,
! [X2: mworld,X1: mworld] :
( ( ( ( mrel @ '#b' @ mactual @ X2 )
=> ( p @ X2 ) )
= $true )
| ( ( mrel @ '#a' @ mactual @ X1 )
= $false )
| ( ( ^ [Y0: mworld] :
( ( mrel @ '#b' @ X1 @ Y0 )
=> ( p @ Y0 ) )
@ ( sK1 @ X1 ) )
= $false ) ),
inference(sigma_clausification,[],[f93]) ).
thf(f93,plain,
! [X2: mworld,X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $false )
| ( ( ( mrel @ '#b' @ mactual @ X2 )
=> ( p @ X2 ) )
= $true )
| ( ( mrel @ '#a' @ mactual @ X1 )
= $false ) ),
inference(beta_eta_normalization,[],[f92]) ).
thf(f92,plain,
! [X2: mworld,X1: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ '#b' @ mactual @ Y0 )
=> ( p @ Y0 ) )
@ X2 )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $false )
| ( ( mrel @ '#a' @ mactual @ X1 )
= $false ) ),
inference(pi_clausification,[],[f91]) ).
thf(f91,plain,
! [X1: mworld] :
( ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ mactual @ Y0 )
=> ( p @ Y0 ) ) ) )
| ( ( mrel @ '#a' @ mactual @ X1 )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $false ) ),
inference(not_proxy_clausification,[],[f90]) ).
thf(f90,plain,
! [X1: mworld] :
( ( ( mrel @ '#a' @ mactual @ X1 )
= $false )
| ( ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ mactual @ Y0 )
=> ( p @ Y0 ) ) ) )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $false ) ),
inference(not_proxy_clausification,[],[f89]) ).
thf(f89,plain,
! [X1: mworld] :
( ( ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ X1 @ Y0 )
=> ( p @ Y0 ) ) ) )
= $true )
| ( ( mrel @ '#a' @ mactual @ X1 )
= $false )
| ( ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ mactual @ Y0 )
=> ( p @ Y0 ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f88]) ).
thf(f88,plain,
! [X1: mworld] :
( ( ( ( mrel @ '#a' @ mactual @ X1 )
=> ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ X1 @ Y0 )
=> ( p @ Y0 ) ) ) )
= $true )
| ( ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ mactual @ Y0 )
=> ( p @ Y0 ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f87]) ).
thf(f87,plain,
! [X1: mworld] :
( ( ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ mactual @ Y0 )
=> ( p @ Y0 ) ) ) )
= $false )
| ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#a' @ mactual @ Y0 )
=> ~ ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b' @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) )
@ X1 ) ) ),
inference(pi_clausification,[],[f86]) ).
thf(f86,plain,
( ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#a' @ mactual @ Y0 )
=> ~ ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b' @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) ) )
| ( ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ mactual @ Y0 )
=> ( p @ Y0 ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f85]) ).
thf(f85,plain,
( $true
= ( ~ ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ mactual @ Y0 )
=> ( p @ Y0 ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#a' @ mactual @ Y0 )
=> ~ ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b' @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f73]) ).
thf(f73,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 ) ) )
@ '#b'
@ p ) )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#a'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#b'
@ p ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f63,f56,f70,f65,f67,f67,f65,f67]) ).
thf(f63,plain,
( ( mlocal @ ( mimplies @ ( mnot @ ( mbox @ '#b' @ p ) ) @ ( mbox @ '#a' @ ( mnot @ ( mbox @ '#b' @ p ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f34]) ).
thf(f34,plain,
( ( mlocal @ ( mimplies @ ( mnot @ ( mbox @ '#b' @ p ) ) @ ( mbox @ '#a' @ ( mnot @ ( mbox @ '#b' @ p ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f33]) ).
thf(f33,plain,
mlocal @ ( mimplies @ ( mnot @ ( mbox @ '#b' @ p ) ) @ ( mbox @ '#a' @ ( mnot @ ( mbox @ '#b' @ p ) ) ) ),
inference(rectify,[],[f14]) ).
thf(f14,axiom,
mlocal @ ( mimplies @ ( mnot @ ( mbox @ '#b' @ p ) ) @ ( mbox @ '#a' @ ( mnot @ ( mbox @ '#b' @ p ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_axiom_2) ).
thf(f111,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f97,f109,f106]) ).
thf(f97,plain,
! [X2: mworld,X1: mworld] :
( ( ( mrel @ '#b' @ mactual @ X2 )
= $false )
| ( ( p @ X2 )
= $true )
| ( ( mrel @ '#a' @ mactual @ X1 )
= $false )
| ( ( p @ ( sK1 @ X1 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : LCL962^16 : TPTP v8.2.0. Released v8.1.0.
% 0.08/0.10 % 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
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon May 20 02:25:37 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.11/0.30 This is a TH0_THM_EQU_NAR problem
% 0.11/0.30 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/benchmark/theBenchmark.p
% 0.11/0.31 % (1231)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 (3000ds/27Mi)
% 0.11/0.31 % (1232)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.11/0.31 % (1233)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 (3000ds/2Mi)
% 0.11/0.31 % (1230)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 (3000ds/4Mi)
% 0.11/0.31 % (1234)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 (3000ds/275Mi)
% 0.11/0.31 % (1235)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.11/0.31 % (1232)Instruction limit reached!
% 0.11/0.31 % (1232)------------------------------
% 0.11/0.31 % (1232)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.31 % (1232)Termination reason: Unknown
% 0.11/0.31 % (1232)Termination phase: Preprocessing 1
% 0.11/0.31
% 0.11/0.31 % (1232)Memory used [KB]: 1023
% 0.11/0.31 % (1233)Instruction limit reached!
% 0.11/0.31 % (1233)------------------------------
% 0.11/0.31 % (1233)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.31 % (1233)Termination reason: Unknown
% 0.11/0.31 % (1233)Termination phase: Property scanning
% 0.11/0.31
% 0.11/0.31 % (1233)Memory used [KB]: 1023
% 0.11/0.31 % (1233)Time elapsed: 0.002 s
% 0.11/0.31 % (1233)Instructions burned: 3 (million)
% 0.11/0.31 % (1233)------------------------------
% 0.11/0.31 % (1233)------------------------------
% 0.11/0.31 % (1232)Time elapsed: 0.002 s
% 0.11/0.31 % (1232)Instructions burned: 3 (million)
% 0.11/0.31 % (1232)------------------------------
% 0.11/0.31 % (1232)------------------------------
% 0.11/0.31 % (1236)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.11/0.31 % (1234)Refutation not found, incomplete strategy
% 0.11/0.31 % (1234)------------------------------
% 0.11/0.31 % (1234)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.31 % (1234)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.31
% 0.11/0.31
% 0.11/0.31 % (1234)Memory used [KB]: 5500
% 0.11/0.31 % (1234)Time elapsed: 0.002 s
% 0.11/0.31 % (1234)Instructions burned: 3 (million)
% 0.11/0.31 % (1234)------------------------------
% 0.11/0.31 % (1234)------------------------------
% 0.11/0.31 % (1230)Instruction limit reached!
% 0.11/0.31 % (1230)------------------------------
% 0.11/0.31 % (1230)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.31 % (1230)Termination reason: Unknown
% 0.11/0.31 % (1230)Termination phase: Saturation
% 0.11/0.31
% 0.11/0.31 % (1230)Memory used [KB]: 5500
% 0.11/0.31 % (1230)Time elapsed: 0.003 s
% 0.11/0.31 % (1230)Instructions burned: 5 (million)
% 0.11/0.31 % (1230)------------------------------
% 0.11/0.31 % (1230)------------------------------
% 0.11/0.31 % (1236)Instruction limit reached!
% 0.11/0.31 % (1236)------------------------------
% 0.11/0.31 % (1236)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.31 % (1236)Termination reason: Unknown
% 0.11/0.31 % (1236)Termination phase: Property scanning
% 0.11/0.31
% 0.11/0.31 % (1236)Memory used [KB]: 1023
% 0.11/0.31 % (1236)Time elapsed: 0.002 s
% 0.11/0.31 % (1236)Instructions burned: 3 (million)
% 0.11/0.31 % (1236)------------------------------
% 0.11/0.31 % (1236)------------------------------
% 0.15/0.32 % (1231)First to succeed.
% 0.15/0.32 % (1231)Refutation found. Thanks to Tanya!
% 0.15/0.32 % SZS status Theorem for theBenchmark
% 0.15/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.32 % (1231)------------------------------
% 0.15/0.32 % (1231)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (1231)Termination reason: Refutation
% 0.15/0.32
% 0.15/0.32 % (1231)Memory used [KB]: 5628
% 0.15/0.32 % (1231)Time elapsed: 0.009 s
% 0.15/0.32 % (1231)Instructions burned: 14 (million)
% 0.15/0.32 % (1231)------------------------------
% 0.15/0.32 % (1231)------------------------------
% 0.15/0.32 % (1228)Success in time 0.007 s
% 0.15/0.32 % Vampire---4.8 exiting
%------------------------------------------------------------------------------