TSTP Solution File: LCL943^24 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL943^24 : 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 00:24:05 EDT 2024
% Result : Theorem 0.14s 0.32s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 27
% Syntax : Number of formulae : 98 ( 50 unt; 21 typ; 0 def)
% Number of atoms : 821 ( 139 equ; 0 cnn)
% Maximal formula atoms : 24 ( 10 avg)
% Number of connectives : 1239 ( 7 ~; 99 |; 0 &; 881 @)
% ( 0 <=>; 153 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 84 ( 84 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 19 usr; 8 con; 0-3 aty)
% ( 99 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 245 ( 182 ^ 63 !; 0 ?; 245 :)
% 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_14,type,
r: mworld > $o ).
thf(func_def_29,type,
sK1: mworld ).
thf(func_def_30,type,
sK2: mworld > mworld ).
thf(func_def_31,type,
sK3: mworld > mworld ).
thf(func_def_32,type,
sK4: mworld ).
thf(func_def_33,type,
sK5: mworld ).
thf(func_def_34,type,
sK6: mworld ).
thf(f137,plain,
$false,
inference(trivial_inequality_removal,[],[f136]) ).
thf(f136,plain,
$false = $true,
inference(superposition,[],[f34,f134]) ).
thf(f134,plain,
! [X0: mworld] :
( $false
= ( mrel @ X0 @ sK6 ) ),
inference(trivial_inequality_removal,[],[f132]) ).
thf(f132,plain,
! [X0: mworld] :
( ( $false
= ( mrel @ X0 @ sK6 ) )
| ( $false = $true ) ),
inference(superposition,[],[f97,f121]) ).
thf(f121,plain,
! [X0: mworld,X1: mworld] :
( ( ( r @ X1 )
= $true )
| ( ( mrel @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f117]) ).
thf(f117,plain,
! [X0: mworld,X1: mworld] :
( ( ( r @ X1 )
= $true )
| ( ( mrel @ X0 @ X1 )
= $false )
| ( $false = $true ) ),
inference(superposition,[],[f116,f34]) ).
thf(f116,plain,
! [X0: mworld,X1: mworld] :
( ( ( mrel @ X1 @ sK4 )
= $false )
| ( ( r @ X0 )
= $true )
| ( ( mrel @ X1 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f113]) ).
thf(f113,plain,
! [X0: mworld,X1: mworld] :
( ( ( mrel @ X1 @ X0 )
= $false )
| ( ( mrel @ X1 @ sK4 )
= $false )
| ( $false = $true )
| ( ( r @ X0 )
= $true ) ),
inference(superposition,[],[f112,f84]) ).
thf(f84,plain,
( ( p @ sK4 )
= $false ),
inference(binary_proxy_clausification,[],[f83]) ).
thf(f83,plain,
( $false
= ( ( mrel @ sK1 @ sK4 )
=> ( p @ sK4 ) ) ),
inference(beta_eta_normalization,[],[f82]) ).
thf(f82,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ sK1 @ Y0 )
=> ( p @ Y0 ) )
@ sK4 )
= $false ),
inference(sigma_clausification,[],[f81]) ).
thf(f81,plain,
( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK1 @ Y0 )
=> ( p @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f49]) ).
thf(f49,plain,
( $false
= ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK1 @ Y0 )
=> ( p @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK1 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f47]) ).
thf(f47,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK1 @ Y0 )
=> ( ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
| ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) ) )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
| ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) ) ) ) ) )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK1 @ Y0 )
=> ( p @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK1 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f46]) ).
thf(f46,plain,
( ( ( mrel @ mactual @ sK1 )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK1 @ Y0 )
=> ( ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
| ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) ) )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
| ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) ) ) ) ) )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK1 @ Y0 )
=> ( p @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK1 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f45]) ).
thf(f45,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
| ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( q @ Y2 ) ) ) )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
| ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( r @ Y2 ) ) ) ) ) ) )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
| ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( q @ Y2 ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( r @ Y2 ) ) ) ) ) ) ) ) )
@ sK1 )
= $false ),
inference(sigma_clausification,[],[f44]) ).
thf(f44,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
| ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( q @ Y2 ) ) ) )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) )
| ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( r @ Y2 ) ) ) ) ) ) )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
| ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( q @ Y2 ) ) )
=> ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( r @ Y2 ) ) ) ) ) ) ) ) ) )
!= $true ),
inference(beta_eta_normalization,[],[f43]) ).
thf(f43,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [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 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ 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 ) )
@ ( ^ [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 ) ) )
@ r ) ) ) )
@ ( ^ [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 ) ) )
@ ( ^ [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 ) ) )
@ q )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ r ) ) ) ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f37,f36,f42,f40,f42,f40,f33,f42,f42,f33,f42,f42,f33,f42,f42,f40,f42,f42]) ).
thf(f33,plain,
( mor
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f29,plain,
( mor
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f28]) ).
thf(f28,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
( ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
( ( X3 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor_def) ).
thf(f40,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f15,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(f42,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f20,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f19]) ).
thf(f19,plain,
( mbox
= ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
( mbox
= ( ^ [X0: mworld > $o,X2: mworld] :
! [X4: mworld] :
( ( mrel @ X2 @ X4 )
=> ( X0 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(f36,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f27]) ).
thf(f27,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f1,axiom,
( mlocal
= ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(f37,plain,
( ( mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ r ) ) ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ r ) ) ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f32]) ).
thf(f32,plain,
( ( mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ r ) ) ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ r ) ) ) ) ) ) )
!= $true ),
inference(flattening,[],[f31]) ).
thf(f31,plain,
( ( mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ r ) ) ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ r ) ) ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f30]) ).
thf(f30,plain,
~ ( mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ r ) ) ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ r ) ) ) ) ) ) ),
inference(rectify,[],[f11]) ).
thf(f11,negated_conjecture,
~ ( mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ r ) ) ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ r ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f10]) ).
thf(f10,conjecture,
mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ r ) ) ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ r ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel5) ).
thf(f112,plain,
! [X2: mworld,X0: mworld,X1: mworld] :
( ( $true
= ( p @ X2 ) )
| ( ( r @ X1 )
= $true )
| ( ( mrel @ X0 @ X2 )
= $false )
| ( ( mrel @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f106]) ).
thf(f106,plain,
! [X2: mworld,X0: mworld,X1: mworld] :
( ( ( mrel @ X0 @ X2 )
= $false )
| ( $true
= ( p @ X2 ) )
| ( ( r @ X1 )
= $true )
| ( $false = $true )
| ( ( mrel @ X0 @ X1 )
= $false ) ),
inference(superposition,[],[f34,f104]) ).
thf(f104,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( mrel @ sK1 @ X1 )
= $false )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( ( mrel @ X1 @ X2 )
= $false )
| ( ( r @ X3 )
= $true )
| ( $true
= ( p @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f103]) ).
thf(f103,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $true
= ( p @ X2 ) )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( ( mrel @ X1 @ X2 )
= $false )
| ( ( mrel @ sK1 @ X1 )
= $false )
| ( ( r @ X3 )
= $true )
| ( $false = $true ) ),
inference(backward_demodulation,[],[f79,f102]) ).
thf(f102,plain,
! [X0: mworld] :
( $true
= ( q @ X0 ) ),
inference(trivial_inequality_removal,[],[f99]) ).
thf(f99,plain,
! [X0: mworld] :
( ( $false = $true )
| ( $true
= ( q @ X0 ) ) ),
inference(superposition,[],[f94,f34]) ).
thf(f94,plain,
! [X1: mworld] :
( ( ( mrel @ sK5 @ X1 )
= $false )
| ( ( q @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f93]) ).
thf(f93,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ sK5 @ X1 )
=> ( q @ X1 ) ) ),
inference(beta_eta_normalization,[],[f92]) ).
thf(f92,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ sK5 @ Y0 )
=> ( q @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[],[f91]) ).
thf(f91,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK5 @ Y0 )
=> ( q @ Y0 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f88]) ).
thf(f88,plain,
( $false
= ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK5 @ Y0 )
=> ( q @ Y0 ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK5 @ Y0 )
=> ( r @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f87]) ).
thf(f87,plain,
( ( ( mrel @ sK1 @ sK5 )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK5 @ Y0 )
=> ( q @ Y0 ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK5 @ Y0 )
=> ( r @ Y0 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f86]) ).
thf(f86,plain,
( $false
= ( ^ [Y0: mworld] :
( ( mrel @ sK1 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) ) ) )
@ sK5 ) ),
inference(sigma_clausification,[],[f80]) ).
thf(f80,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK1 @ Y0 )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f49]) ).
thf(f79,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( mrel @ sK1 @ X1 )
= $false )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( ( mrel @ X1 @ X2 )
= $false )
| ( ( r @ X3 )
= $true )
| ( ( q @ ( sK3 @ X1 ) )
= $false )
| ( $true
= ( p @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f76]) ).
thf(f76,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( mrel @ X1 @ X2 )
= $false )
| ( $true
= ( p @ X2 ) )
| ( ( q @ ( sK3 @ X1 ) )
= $false )
| ( ( mrel @ sK1 @ X1 )
= $false )
| ( ( ( mrel @ X1 @ X3 )
=> ( r @ X3 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f75]) ).
thf(f75,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( mrel @ sK1 @ X1 )
= $false )
| ( ( mrel @ X1 @ X2 )
= $false )
| ( ( ( mrel @ X1 @ ( sK3 @ X1 ) )
=> ( q @ ( sK3 @ X1 ) ) )
= $false )
| ( ( ( mrel @ X1 @ X3 )
=> ( r @ X3 ) )
= $true )
| ( $true
= ( p @ X2 ) ) ),
inference(beta_eta_normalization,[],[f74]) ).
thf(f74,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( r @ Y0 ) )
@ X3 )
= $true )
| ( ( mrel @ X1 @ X2 )
= $false )
| ( $true
= ( p @ X2 ) )
| ( ( ( mrel @ X1 @ ( sK3 @ X1 ) )
=> ( q @ ( sK3 @ X1 ) ) )
= $false )
| ( ( mrel @ sK1 @ X1 )
= $false ) ),
inference(pi_clausification,[],[f73]) ).
thf(f73,plain,
! [X2: mworld,X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( r @ Y0 ) ) )
= $true )
| ( $true
= ( p @ X2 ) )
| ( ( mrel @ X1 @ X2 )
= $false )
| ( ( ( mrel @ X1 @ ( sK3 @ X1 ) )
=> ( q @ ( sK3 @ X1 ) ) )
= $false )
| ( ( mrel @ sK1 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f72]) ).
thf(f72,plain,
! [X2: mworld,X1: mworld] :
( ( ( mrel @ sK1 @ X1 )
= $false )
| ( ( ( mrel @ X1 @ X2 )
=> ( p @ X2 ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( r @ Y0 ) ) )
= $true )
| ( ( ( mrel @ X1 @ ( sK3 @ X1 ) )
=> ( q @ ( sK3 @ X1 ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f71]) ).
thf(f71,plain,
! [X2: mworld,X1: mworld] :
( ( ( ( mrel @ X1 @ ( sK3 @ X1 ) )
=> ( q @ ( sK3 @ X1 ) ) )
= $false )
| ( ( mrel @ sK1 @ X1 )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( r @ Y0 ) ) )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( p @ Y0 ) )
@ X2 )
= $true ) ),
inference(pi_clausification,[],[f70]) ).
thf(f70,plain,
! [X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( ( mrel @ sK1 @ X1 )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( r @ Y0 ) ) )
= $true )
| ( ( ( mrel @ X1 @ ( sK3 @ X1 ) )
=> ( q @ ( sK3 @ X1 ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f69]) ).
thf(f69,plain,
! [X1: mworld] :
( ( ( mrel @ sK1 @ X1 )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( r @ Y0 ) ) )
= $true )
| ( $false
= ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( q @ Y0 ) )
@ ( sK3 @ X1 ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true ) ),
inference(sigma_clausification,[],[f68]) ).
thf(f68,plain,
! [X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( q @ Y0 ) ) )
= $false )
| ( ( mrel @ sK1 @ X1 )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( r @ Y0 ) ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f55]) ).
thf(f55,plain,
! [X1: mworld] :
( ( ( mrel @ sK1 @ X1 )
= $false )
| ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( r @ Y0 ) ) ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( q @ Y0 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f54]) ).
thf(f54,plain,
! [X1: mworld] :
( ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( q @ Y0 ) ) ) )
= $false )
| ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( r @ Y0 ) ) ) )
= $true )
| ( ( mrel @ sK1 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f53]) ).
thf(f53,plain,
! [X1: mworld] :
( ( ( mrel @ sK1 @ X1 )
= $false )
| ( ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( q @ Y0 ) ) ) )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( r @ Y0 ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f52]) ).
thf(f52,plain,
! [X1: mworld] :
( ( ( mrel @ sK1 @ X1 )
=> ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( q @ Y0 ) ) ) )
=> ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( r @ Y0 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f51]) ).
thf(f51,plain,
! [X1: mworld] :
( ( ^ [Y0: mworld] :
( ( mrel @ sK1 @ Y0 )
=> ( ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
| ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) ) )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
| ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f50]) ).
thf(f50,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK1 @ Y0 )
=> ( ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
| ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) ) )
=> ( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
| ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f47]) ).
thf(f97,plain,
( ( r @ sK6 )
= $false ),
inference(binary_proxy_clausification,[],[f96]) ).
thf(f96,plain,
( $false
= ( ( mrel @ sK5 @ sK6 )
=> ( r @ sK6 ) ) ),
inference(beta_eta_normalization,[],[f95]) ).
thf(f95,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ sK5 @ Y0 )
=> ( r @ Y0 ) )
@ sK6 )
= $false ),
inference(sigma_clausification,[],[f90]) ).
thf(f90,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ sK5 @ Y0 )
=> ( r @ Y0 ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f88]) ).
thf(f34,plain,
! [X0: mworld,X1: mworld] :
( ( mrel @ X1 @ X0 )
= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
! [X0: mworld,X1: mworld] :
( ( mrel @ X1 @ X0 )
= $true ),
inference(fool_elimination,[],[f17]) ).
thf(f17,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X1 @ X0 ),
inference(rectify,[],[f9]) ).
thf(f9,axiom,
! [X4: mworld,X2: mworld] : ( mrel @ X2 @ X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : LCL943^24 : TPTP v8.2.0. Released v8.1.0.
% 0.05/0.10 % 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
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon May 20 01:50:37 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.29 This is a TH0_THM_EQU_NAR problem
% 0.10/0.30 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
% 0.10/0.31 % (2055)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)
% 0.10/0.31 % (2058)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)
% 0.10/0.31 % (2055)Instruction limit reached!
% 0.10/0.31 % (2055)------------------------------
% 0.10/0.31 % (2055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.10/0.31 % (2055)Termination reason: Unknown
% 0.10/0.31 % (2055)Termination phase: shuffling
% 0.10/0.31
% 0.10/0.31 % (2055)Memory used [KB]: 895
% 0.10/0.31 % (2055)Time elapsed: 0.002 s
% 0.10/0.31 % (2055)Instructions burned: 2 (million)
% 0.10/0.31 % (2055)------------------------------
% 0.10/0.31 % (2055)------------------------------
% 0.10/0.31 % (2051)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.10/0.31 % (2057)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.10/0.31 % (2058)Instruction limit reached!
% 0.10/0.31 % (2058)------------------------------
% 0.10/0.31 % (2058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.10/0.31 % (2058)Termination reason: Unknown
% 0.10/0.31 % (2058)Termination phase: Saturation
% 0.10/0.31
% 0.10/0.31 % (2058)Memory used [KB]: 5500
% 0.10/0.31 % (2058)Time elapsed: 0.003 s
% 0.10/0.31 % (2058)Instructions burned: 4 (million)
% 0.10/0.31 % (2058)------------------------------
% 0.10/0.31 % (2058)------------------------------
% 0.10/0.31 % (2056)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)
% 0.10/0.31 % (2053)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)
% 0.10/0.31 % (2054)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.10/0.31 % (2054)Instruction limit reached!
% 0.10/0.31 % (2054)------------------------------
% 0.10/0.31 % (2054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.10/0.31 % (2054)Termination reason: Unknown
% 0.10/0.31 % (2054)Termination phase: Property scanning
% 0.10/0.31
% 0.10/0.31 % (2054)Memory used [KB]: 895
% 0.10/0.31 % (2054)Time elapsed: 0.002 s
% 0.10/0.31 % (2054)Instructions burned: 2 (million)
% 0.10/0.31 % (2054)------------------------------
% 0.10/0.31 % (2054)------------------------------
% 0.10/0.31 % (2056)Refutation not found, incomplete strategy
% 0.10/0.31 % (2056)------------------------------
% 0.10/0.31 % (2056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.10/0.31 % (2056)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.31
% 0.10/0.31
% 0.10/0.31 % (2056)Memory used [KB]: 5500
% 0.10/0.31 % (2056)Time elapsed: 0.003 s
% 0.10/0.31 % (2056)Instructions burned: 2 (million)
% 0.10/0.31 % (2056)------------------------------
% 0.10/0.31 % (2056)------------------------------
% 0.14/0.31 % (2052)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)
% 0.14/0.31 % (2057)First to succeed.
% 0.14/0.32 % (2052)Instruction limit reached!
% 0.14/0.32 % (2052)------------------------------
% 0.14/0.32 % (2052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32 % (2052)Termination reason: Unknown
% 0.14/0.32 % (2052)Termination phase: Saturation
% 0.14/0.32
% 0.14/0.32 % (2052)Memory used [KB]: 5500
% 0.14/0.32 % (2052)Time elapsed: 0.004 s
% 0.14/0.32 % (2052)Instructions burned: 4 (million)
% 0.14/0.32 % (2052)------------------------------
% 0.14/0.32 % (2052)------------------------------
% 0.14/0.32 % (2051)Also succeeded, but the first one will report.
% 0.14/0.32 % (2059)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)
% 0.14/0.32 % (2057)Refutation found. Thanks to Tanya!
% 0.14/0.32 % SZS status Theorem for theBenchmark
% 0.14/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.32 % (2057)------------------------------
% 0.14/0.32 % (2057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32 % (2057)Termination reason: Refutation
% 0.14/0.32
% 0.14/0.32 % (2057)Memory used [KB]: 5628
% 0.14/0.32 % (2057)Time elapsed: 0.009 s
% 0.14/0.32 % (2057)Instructions burned: 13 (million)
% 0.14/0.32 % (2057)------------------------------
% 0.14/0.32 % (2057)------------------------------
% 0.14/0.32 % (2050)Success in time 0.007 s
% 0.14/0.32 % Vampire---4.8 exiting
%------------------------------------------------------------------------------