TSTP Solution File: SET601^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET601^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 03:12:20 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of formulae : 94 ( 10 unt; 7 typ; 0 def)
% Number of atoms : 786 ( 179 equ; 0 cnn)
% Maximal formula atoms : 4 ( 9 avg)
% Number of connectives : 911 ( 34 ~; 266 |; 140 &; 464 @)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 39 ( 20 ^ 12 !; 6 ?; 39 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_8,type,
sK0: a > $o ).
thf(func_def_9,type,
sK1: a > $o ).
thf(func_def_10,type,
sK2: a > $o ).
thf(func_def_12,type,
ph4:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
sK5: a ).
thf(f293,plain,
$false,
inference(avatar_sat_refutation,[],[f219,f242,f245,f266,f278,f279,f284,f287,f292]) ).
thf(f292,plain,
( ~ spl3_2
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f291]) ).
thf(f291,plain,
( $false
| ~ spl3_2
| ~ spl3_6 ),
inference(trivial_inequality_removal,[],[f290]) ).
thf(f290,plain,
( ( $true = $false )
| ~ spl3_2
| ~ spl3_6 ),
inference(backward_demodulation,[],[f217,f257]) ).
thf(f257,plain,
( ( ( sK0 @ sK5 )
= $false )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f255]) ).
thf(f255,plain,
( spl3_6
<=> ( ( sK0 @ sK5 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
thf(f217,plain,
( ( ( sK0 @ sK5 )
= $true )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f215]) ).
thf(f215,plain,
( spl3_2
<=> ( ( sK0 @ sK5 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
thf(f287,plain,
( ~ spl3_1
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f286]) ).
thf(f286,plain,
( $false
| ~ spl3_1
| ~ spl3_4 ),
inference(trivial_inequality_removal,[],[f285]) ).
thf(f285,plain,
( ( $true = $false )
| ~ spl3_1
| ~ spl3_4 ),
inference(forward_demodulation,[],[f213,f249]) ).
thf(f249,plain,
( ( ( sK2 @ sK5 )
= $false )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f247]) ).
thf(f247,plain,
( spl3_4
<=> ( ( sK2 @ sK5 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
thf(f213,plain,
( ( ( sK2 @ sK5 )
= $true )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f211]) ).
thf(f211,plain,
( spl3_1
<=> ( ( sK2 @ sK5 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
thf(f284,plain,
( ~ spl3_3
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f283]) ).
thf(f283,plain,
( $false
| ~ spl3_3
| ~ spl3_5 ),
inference(trivial_inequality_removal,[],[f282]) ).
thf(f282,plain,
( ( $true = $false )
| ~ spl3_3
| ~ spl3_5 ),
inference(backward_demodulation,[],[f223,f253]) ).
thf(f253,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f251]) ).
thf(f251,plain,
( spl3_5
<=> ( $false
= ( sK1 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
thf(f223,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f221]) ).
thf(f221,plain,
( spl3_3
<=> ( $true
= ( sK1 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
thf(f279,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f32,f255,f251]) ).
thf(f32,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(duplicate_literal_removal,[],[f31]) ).
thf(f31,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $false )
| ( $false
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f23]) ).
thf(f23,plain,
( ( $false
= ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
| ( ( sK0 @ sK5 )
= $false )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f22,plain,
( ( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( ( sK0 @ sK5 )
= $false )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f20]) ).
thf(f20,plain,
( ( ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) )
= $false )
| ( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(duplicate_literal_removal,[],[f19]) ).
thf(f19,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) )
= $false )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
= $false )
| ( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f15]) ).
thf(f15,plain,
( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
= $false )
| ( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) )
= $false )
| ( ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f14]) ).
thf(f14,plain,
( ( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
& ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $false )
| ( ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) )
= $false )
| ( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( ( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
& ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $false )
| ( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f11,plain,
( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
& ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) ) )
!= ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) ) ),
inference(beta_eta_normalization,[],[f10]) ).
thf(f10,plain,
( ( ^ [Y0: a] :
( ( ( sK1 @ Y0 )
& ( sK2 @ Y0 ) )
| ( ( sK0 @ Y0 )
& ( sK2 @ Y0 ) )
| ( ( sK1 @ Y0 )
& ( sK0 @ Y0 ) ) )
@ sK5 )
!= ( ^ [Y0: a] :
( ( ( sK1 @ Y0 )
| ( sK0 @ Y0 ) )
& ( ( sK1 @ Y0 )
| ( sK2 @ Y0 ) )
& ( ( sK0 @ Y0 )
| ( sK2 @ Y0 ) ) )
@ sK5 ) ),
inference(negative_extensionality,[],[f9]) ).
thf(f9,plain,
( ( ^ [Y0: a] :
( ( ( sK1 @ Y0 )
& ( sK2 @ Y0 ) )
| ( ( sK0 @ Y0 )
& ( sK2 @ Y0 ) )
| ( ( sK1 @ Y0 )
& ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ( ( sK1 @ Y0 )
| ( sK0 @ Y0 ) )
& ( ( sK1 @ Y0 )
| ( sK2 @ Y0 ) )
& ( ( sK0 @ Y0 )
| ( sK2 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( ( ^ [Y0: a] :
( ( ( sK1 @ Y0 )
& ( sK2 @ Y0 ) )
| ( ( sK0 @ Y0 )
& ( sK2 @ Y0 ) )
| ( ( sK1 @ Y0 )
& ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ( ( sK1 @ Y0 )
| ( sK0 @ Y0 ) )
& ( ( sK1 @ Y0 )
| ( sK2 @ Y0 ) )
& ( ( sK0 @ Y0 )
| ( sK2 @ Y0 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f7]) ).
thf(f7,plain,
( ? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [Y0: a] :
( ( ( X1 @ Y0 )
& ( X2 @ Y0 ) )
| ( ( X0 @ Y0 )
& ( X2 @ Y0 ) )
| ( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ( ( X1 @ Y0 )
| ( X0 @ Y0 ) )
& ( ( X1 @ Y0 )
| ( X2 @ Y0 ) )
& ( ( X0 @ Y0 )
| ( X2 @ Y0 ) ) ) ) )
=> ( ( ^ [Y0: a] :
( ( ( sK1 @ Y0 )
& ( sK2 @ Y0 ) )
| ( ( sK0 @ Y0 )
& ( sK2 @ Y0 ) )
| ( ( sK1 @ Y0 )
& ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ( ( sK1 @ Y0 )
| ( sK0 @ Y0 ) )
& ( ( sK1 @ Y0 )
| ( sK2 @ Y0 ) )
& ( ( sK0 @ Y0 )
| ( sK2 @ Y0 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f6,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [Y0: a] :
( ( ( X1 @ Y0 )
& ( X2 @ Y0 ) )
| ( ( X0 @ Y0 )
& ( X2 @ Y0 ) )
| ( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ( ( X1 @ Y0 )
| ( X0 @ Y0 ) )
& ( ( X1 @ Y0 )
| ( X2 @ Y0 ) )
& ( ( X0 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [Y0: a] :
( ( ( X1 @ Y0 )
& ( X2 @ Y0 ) )
| ( ( X0 @ Y0 )
& ( X2 @ Y0 ) )
| ( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) )
= ( ^ [Y0: a] :
( ( ( X1 @ Y0 )
| ( X0 @ Y0 ) )
& ( ( X1 @ Y0 )
| ( X2 @ Y0 ) )
& ( ( X0 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [X3: a] :
( ( ( X2 @ X3 )
| ( X0 @ X3 ) )
& ( ( X2 @ X3 )
| ( X1 @ X3 ) )
& ( ( X0 @ X3 )
| ( X1 @ X3 ) ) ) )
= ( ^ [X4: a] :
( ( ( X0 @ X4 )
& ( X1 @ X4 ) )
| ( ( X2 @ X4 )
& ( X0 @ X4 ) )
| ( ( X2 @ X4 )
& ( X1 @ X4 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X2: a > $o,X1: a > $o] :
( ( ^ [X4: a] :
( ( ( X1 @ X4 )
| ( X0 @ X4 ) )
& ( ( X1 @ X4 )
| ( X2 @ X4 ) )
& ( ( X0 @ X4 )
| ( X2 @ X4 ) ) ) )
= ( ^ [X3: a] :
( ( ( X0 @ X3 )
& ( X2 @ X3 ) )
| ( ( X1 @ X3 )
& ( X0 @ X3 ) )
| ( ( X1 @ X3 )
& ( X2 @ X3 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > $o,X2: a > $o,X1: a > $o] :
( ( ^ [X4: a] :
( ( ( X1 @ X4 )
| ( X0 @ X4 ) )
& ( ( X1 @ X4 )
| ( X2 @ X4 ) )
& ( ( X0 @ X4 )
| ( X2 @ X4 ) ) ) )
= ( ^ [X3: a] :
( ( ( X0 @ X3 )
& ( X2 @ X3 ) )
| ( ( X1 @ X3 )
& ( X0 @ X3 ) )
| ( ( X1 @ X3 )
& ( X2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_72_pme) ).
thf(f278,plain,
( spl3_5
| spl3_4 ),
inference(avatar_split_clause,[],[f38,f247,f251]) ).
thf(f38,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(duplicate_literal_removal,[],[f37]) ).
thf(f37,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( sK2 @ sK5 )
= $false )
| ( $false
= ( sK1 @ sK5 ) )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f36,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( ( sK2 @ sK5 )
= $false )
| ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f34]) ).
thf(f34,plain,
( ( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) ) )
= $false )
| ( ( sK2 @ sK5 )
= $false )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f21]) ).
thf(f21,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f20]) ).
thf(f266,plain,
( spl3_4
| spl3_6 ),
inference(avatar_split_clause,[],[f82,f255,f247]) ).
thf(f82,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(duplicate_literal_removal,[],[f80]) ).
thf(f80,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( sK2 @ sK5 )
= $false )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f79]) ).
thf(f79,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
= $false )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(duplicate_literal_removal,[],[f78]) ).
thf(f78,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( ( sK0 @ sK5 )
= $false )
| ( ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
= $false )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f71]) ).
thf(f71,plain,
( ( ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
= $false )
| ( ( sK0 @ sK5 )
= $false )
| ( ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f70]) ).
thf(f70,plain,
( ( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) ) )
= $false )
| ( ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
= $false )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f68]) ).
thf(f68,plain,
( ( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
= $false )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(duplicate_literal_removal,[],[f67]) ).
thf(f67,plain,
( ( ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
= $false )
| ( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( ( sK0 @ sK5 )
= $false )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f16]) ).
thf(f16,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) )
= $false )
| ( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f15]) ).
thf(f245,plain,
( spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f126,f221,f215]) ).
thf(f126,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(duplicate_literal_removal,[],[f125]) ).
thf(f125,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f124]) ).
thf(f124,plain,
( ( ( sK0 @ sK5 )
= $true )
| ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
= $true )
| ( $true
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f122]) ).
thf(f122,plain,
( ( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
& ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f120]) ).
thf(f120,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( $true
= ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) ) )
| ( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
& ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true ) ),
inference(duplicate_literal_removal,[],[f119]) ).
thf(f119,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( $true
= ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) ) )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
& ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f117]) ).
thf(f117,plain,
( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
= $true )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
& ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true )
| ( $true
= ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) ) ) ),
inference(binary_proxy_clausification,[],[f116]) ).
thf(f116,plain,
( ( $true
= ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) ) ) )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
& ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f114]) ).
thf(f114,plain,
( ( $true
= ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
| ( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
& ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true )
| ( $true
= ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f113]) ).
thf(f113,plain,
( ( $true
= ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) ) )
| ( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
& ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f12]) ).
thf(f12,plain,
( ( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
& ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true )
| ( $true
= ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f242,plain,
( spl3_3
| spl3_1 ),
inference(avatar_split_clause,[],[f134,f211,f221]) ).
thf(f134,plain,
( ( ( sK2 @ sK5 )
= $true )
| ( $true
= ( sK1 @ sK5 ) ) ),
inference(duplicate_literal_removal,[],[f133]) ).
thf(f133,plain,
( ( ( sK2 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $true )
| ( $true
= ( sK1 @ sK5 ) )
| ( $true
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f129]) ).
thf(f129,plain,
( ( ( sK2 @ sK5 )
= $true )
| ( $true
= ( sK1 @ sK5 ) )
| ( $true
= ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) ) ),
inference(binary_proxy_clausification,[],[f121]) ).
thf(f121,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( ( sK2 @ sK5 )
= $true )
| ( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
& ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f120]) ).
thf(f219,plain,
( spl3_2
| spl3_1 ),
inference(avatar_split_clause,[],[f208,f211,f215]) ).
thf(f208,plain,
( ( ( sK2 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(duplicate_literal_removal,[],[f207]) ).
thf(f207,plain,
( ( ( sK0 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f205]) ).
thf(f205,plain,
( ( $true
= ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) ) )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(duplicate_literal_removal,[],[f199]) ).
thf(f199,plain,
( ( $true
= ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) ) )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f198]) ).
thf(f198,plain,
( ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
= $true )
| ( $true
= ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) ) )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f197]) ).
thf(f197,plain,
( ( ( sK2 @ sK5 )
= $true )
| ( $true
= ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) ) ) )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(duplicate_literal_removal,[],[f182]) ).
thf(f182,plain,
( ( ( sK2 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) ) ) )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f181]) ).
thf(f181,plain,
( ( $true
= ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) ) ) )
| ( ( sK2 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f180]) ).
thf(f180,plain,
( ( $true
= ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) ) )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f112]) ).
thf(f112,plain,
( ( ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) )
= $true )
| ( $true
= ( ( ( sK1 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK0 @ sK5 )
& ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET601^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 12:56:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % (28666)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)
% 0.15/0.37 % (28665)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.38 % (28663)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)
% 0.15/0.38 % (28666)Refutation not found, incomplete strategy
% 0.15/0.38 % (28666)------------------------------
% 0.15/0.38 % (28666)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (28666)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (28666)Memory used [KB]: 5500
% 0.15/0.38 % (28666)Time elapsed: 0.003 s
% 0.15/0.38 % (28666)Instructions burned: 2 (million)
% 0.15/0.38 % (28666)------------------------------
% 0.15/0.38 % (28666)------------------------------
% 0.15/0.38 % (28663)Instruction limit reached!
% 0.15/0.38 % (28663)------------------------------
% 0.15/0.38 % (28663)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (28663)Termination reason: Unknown
% 0.15/0.38 % (28663)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (28663)Memory used [KB]: 5373
% 0.15/0.38 % (28663)Time elapsed: 0.003 s
% 0.15/0.38 % (28663)Instructions burned: 2 (million)
% 0.15/0.38 % (28663)------------------------------
% 0.15/0.38 % (28663)------------------------------
% 0.15/0.38 % (28664)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)
% 0.15/0.38 % (28661)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)
% 0.15/0.38 % (28665)First to succeed.
% 0.15/0.38 % (28664)Also succeeded, but the first one will report.
% 0.15/0.38 % (28665)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (28665)------------------------------
% 0.15/0.38 % (28665)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (28665)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (28665)Memory used [KB]: 5628
% 0.15/0.38 % (28665)Time elapsed: 0.009 s
% 0.15/0.38 % (28665)Instructions burned: 9 (million)
% 0.15/0.38 % (28665)------------------------------
% 0.15/0.38 % (28665)------------------------------
% 0.15/0.38 % (28658)Success in time 0.02 s
% 0.15/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------