TSTP Solution File: SET622^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET622^5 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 09:07:39 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 14
% Syntax : Number of formulae : 96 ( 12 unt; 7 typ; 0 def)
% Number of atoms : 857 ( 210 equ; 0 cnn)
% Maximal formula atoms : 5 ( 9 avg)
% Number of connectives : 1045 ( 157 ~; 235 |; 173 &; 474 @)
% ( 5 <=>; 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 : 13 ( 10 usr; 8 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_9,type,
sK0: a > $o ).
thf(func_def_10,type,
sK1: a > $o ).
thf(func_def_11,type,
sK2: a > $o ).
thf(func_def_13,type,
ph4:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
sK5: a ).
thf(f197,plain,
$false,
inference(avatar_sat_refutation,[],[f155,f163,f171,f175,f183,f189,f196]) ).
thf(f196,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_contradiction_clause,[],[f195]) ).
thf(f195,plain,
( $false
| ~ spl3_1
| ~ spl3_2 ),
inference(trivial_inequality_removal,[],[f192]) ).
thf(f192,plain,
( ( $false = $true )
| ~ spl3_1
| ~ spl3_2 ),
inference(superposition,[],[f145,f149]) ).
thf(f149,plain,
( ( ( sK1 @ sK5 )
= $true )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f147]) ).
thf(f147,plain,
( spl3_2
<=> ( ( sK1 @ sK5 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
thf(f145,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f143]) ).
thf(f143,plain,
( spl3_1
<=> ( $false
= ( sK1 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
thf(f189,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f188]) ).
thf(f188,plain,
( $false
| ~ spl3_5 ),
inference(trivial_inequality_removal,[],[f184]) ).
thf(f184,plain,
( ( $false = $true )
| ~ spl3_5 ),
inference(superposition,[],[f169,f141]) ).
thf(f141,plain,
( ( sK0 @ sK5 )
= $true ),
inference(duplicate_literal_removal,[],[f137]) ).
thf(f137,plain,
( ( ( sK0 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f136]) ).
thf(f136,plain,
( ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
= $true )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(duplicate_literal_removal,[],[f120]) ).
thf(f120,plain,
( ( ( sK0 @ sK5 )
= $true )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
= $true )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f119]) ).
thf(f119,plain,
( ( ( sK0 @ sK5 )
= $true )
| ( ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f55]) ).
thf(f55,plain,
( ( ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
| ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) ) )
= $true )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f12]) ).
thf(f12,plain,
( ( ( ~ ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) )
& ( sK0 @ sK5 ) )
= $true )
| ( ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
| ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f11,plain,
( ( ~ ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) )
& ( sK0 @ sK5 ) )
!= ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
| ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) ) ) ),
inference(beta_eta_normalization,[],[f10]) ).
thf(f10,plain,
( ( ^ [Y0: a] :
( ~ ( ( ( sK2 @ Y0 )
& ~ ( sK1 @ Y0 ) )
| ( ~ ( sK2 @ Y0 )
& ( sK1 @ Y0 ) ) )
& ( sK0 @ Y0 ) )
@ sK5 )
!= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ( sK1 @ Y0 )
& ( sK0 @ Y0 ) )
| ( ~ ( ( sK2 @ Y0 )
| ( sK1 @ Y0 ) )
& ( sK0 @ Y0 ) ) )
@ sK5 ) ),
inference(negative_extensionality,[],[f9]) ).
thf(f9,plain,
( ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ( sK1 @ Y0 )
& ( sK0 @ Y0 ) )
| ( ~ ( ( sK2 @ Y0 )
| ( sK1 @ Y0 ) )
& ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ~ ( ( ( sK2 @ Y0 )
& ~ ( sK1 @ Y0 ) )
| ( ~ ( sK2 @ Y0 )
& ( sK1 @ Y0 ) ) )
& ( sK0 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ( sK1 @ Y0 )
& ( sK0 @ Y0 ) )
| ( ~ ( ( sK2 @ Y0 )
| ( sK1 @ Y0 ) )
& ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ~ ( ( ( sK2 @ Y0 )
& ~ ( sK1 @ Y0 ) )
| ( ~ ( sK2 @ Y0 )
& ( sK1 @ Y0 ) ) )
& ( sK0 @ 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] :
( ~ ( ( ( X2 @ Y0 )
& ~ ( X1 @ Y0 ) )
| ( ~ ( X2 @ Y0 )
& ( X1 @ Y0 ) ) )
& ( X0 @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( ( X2 @ Y0 )
& ( X1 @ Y0 )
& ( X0 @ Y0 ) )
| ( ~ ( ( X2 @ Y0 )
| ( X1 @ Y0 ) )
& ( X0 @ Y0 ) ) ) ) )
=> ( ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ( sK1 @ Y0 )
& ( sK0 @ Y0 ) )
| ( ~ ( ( sK2 @ Y0 )
| ( sK1 @ Y0 ) )
& ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ~ ( ( ( sK2 @ Y0 )
& ~ ( sK1 @ Y0 ) )
| ( ~ ( sK2 @ Y0 )
& ( sK1 @ Y0 ) ) )
& ( sK0 @ Y0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f6,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [Y0: a] :
( ~ ( ( ( X2 @ Y0 )
& ~ ( X1 @ Y0 ) )
| ( ~ ( X2 @ Y0 )
& ( X1 @ Y0 ) ) )
& ( X0 @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( ( X2 @ Y0 )
& ( X1 @ Y0 )
& ( X0 @ Y0 ) )
| ( ~ ( ( X2 @ Y0 )
| ( X1 @ Y0 ) )
& ( X0 @ Y0 ) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [Y0: a] :
( ~ ( ( ( X2 @ Y0 )
& ~ ( X1 @ Y0 ) )
| ( ~ ( X2 @ Y0 )
& ( X1 @ Y0 ) ) )
& ( X0 @ Y0 ) ) )
= ( ^ [Y0: a] :
( ( ( X2 @ Y0 )
& ( X1 @ Y0 )
& ( X0 @ Y0 ) )
| ( ~ ( ( X2 @ Y0 )
| ( X1 @ Y0 ) )
& ( X0 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [X3: a] :
( ( ( X0 @ X3 )
& ~ ( ( X1 @ X3 )
| ( X2 @ X3 ) ) )
| ( ( X0 @ X3 )
& ( X1 @ X3 )
& ( X2 @ X3 ) ) ) )
= ( ^ [X4: a] :
( ( X0 @ X4 )
& ~ ( ( ( X1 @ X4 )
& ~ ( X2 @ X4 ) )
| ( ~ ( X1 @ X4 )
& ( X2 @ X4 ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [X4: a] :
( ( ( X0 @ X4 )
& ~ ( ( X1 @ X4 )
| ( X2 @ X4 ) ) )
| ( ( X0 @ X4 )
& ( X1 @ X4 )
& ( X2 @ X4 ) ) ) )
= ( ^ [X3: a] :
( ( X0 @ X3 )
& ~ ( ( ( X1 @ X3 )
& ~ ( X2 @ X3 ) )
| ( ~ ( X1 @ X3 )
& ( X2 @ X3 ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [X4: a] :
( ( ( X0 @ X4 )
& ~ ( ( X1 @ X4 )
| ( X2 @ X4 ) ) )
| ( ( X0 @ X4 )
& ( X1 @ X4 )
& ( X2 @ X4 ) ) ) )
= ( ^ [X3: a] :
( ( X0 @ X3 )
& ~ ( ( ( X1 @ X3 )
& ~ ( X2 @ X3 ) )
| ( ~ ( X1 @ X3 )
& ( X2 @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wM3fBz4V8T/Vampire---4.8_26587',cBOOL_PROP_98_pme) ).
thf(f169,plain,
( ( ( sK0 @ sK5 )
= $false )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f167]) ).
thf(f167,plain,
( spl3_5
<=> ( ( sK0 @ sK5 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
thf(f183,plain,
( ~ spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f182]) ).
thf(f182,plain,
( $false
| ~ spl3_3
| ~ spl3_4 ),
inference(trivial_inequality_removal,[],[f178]) ).
thf(f178,plain,
( ( $false = $true )
| ~ spl3_3
| ~ spl3_4 ),
inference(superposition,[],[f159,f153]) ).
thf(f153,plain,
( ( ( sK2 @ sK5 )
= $true )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f151]) ).
thf(f151,plain,
( spl3_3
<=> ( ( sK2 @ sK5 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
thf(f159,plain,
( ( ( sK2 @ sK5 )
= $false )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f157]) ).
thf(f157,plain,
( spl3_4
<=> ( ( sK2 @ sK5 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
thf(f175,plain,
( spl3_4
| spl3_1
| spl3_5 ),
inference(avatar_split_clause,[],[f33,f167,f143,f157]) ).
thf(f33,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( sK0 @ sK5 )
= $false )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(duplicate_literal_removal,[],[f32]) ).
thf(f32,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( sK2 @ sK5 )
= $false )
| ( ( sK0 @ sK5 )
= $false )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(not_proxy_clausification,[],[f31]) ).
thf(f31,plain,
( ( $true
= ( ~ ( sK2 @ sK5 ) ) )
| ( $false
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $false )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(duplicate_literal_removal,[],[f30]) ).
thf(f30,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( $false
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $false )
| ( ( sK2 @ sK5 )
= $false )
| ( $true
= ( ~ ( sK2 @ sK5 ) ) ) ),
inference(not_proxy_clausification,[],[f29]) ).
thf(f29,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( $true
= ( ~ ( sK1 @ sK5 ) ) )
| ( $false
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $false )
| ( $true
= ( ~ ( sK2 @ sK5 ) ) ) ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f22,plain,
( ( ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) )
= $true )
| ( ( sK0 @ sK5 )
= $false )
| ( $true
= ( ~ ( sK1 @ sK5 ) ) )
| ( $false
= ( sK1 @ sK5 ) )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f21]) ).
thf(f21,plain,
( ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
= $true )
| ( ( sK0 @ sK5 )
= $false )
| ( ( sK2 @ sK5 )
= $false )
| ( ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) )
= $true )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f20]) ).
thf(f20,plain,
( ( $false
= ( ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) )
| ( ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) )
= $true )
| ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
= $true )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,plain,
( ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) )
| ( ( sK0 @ sK5 )
= $false )
| ( $false
= ( ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) ),
inference(duplicate_literal_removal,[],[f18]) ).
thf(f18,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) )
| ( $false
= ( ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( $false
= ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
| ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) ) ),
inference(not_proxy_clausification,[],[f16]) ).
thf(f16,plain,
( ( $false
= ( ~ ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) ) )
| ( $false
= ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) ) )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f14]) ).
thf(f14,plain,
( ( $false
= ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
| ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) ) ) )
| ( $false
= ( ~ ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) ) )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( ( ( ~ ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) )
& ( sK0 @ sK5 ) )
= $false )
| ( $false
= ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
| ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f171,plain,
( spl3_3
| spl3_5
| spl3_2 ),
inference(avatar_split_clause,[],[f53,f147,f167,f151]) ).
thf(f53,plain,
( ( ( sK1 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(duplicate_literal_removal,[],[f52]) ).
thf(f52,plain,
( ( ( sK2 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $false )
| ( ( sK1 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f50]) ).
thf(f50,plain,
( ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
= $true )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $false )
| ( ( sK1 @ sK5 )
= $true ) ),
inference(duplicate_literal_removal,[],[f42]) ).
thf(f42,plain,
( ( ( sK2 @ sK5 )
= $true )
| ( ( sK1 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $false )
| ( ( sK1 @ sK5 )
= $true )
| ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f41]) ).
thf(f41,plain,
( ( ( sK1 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $true )
| ( ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) )
= $true )
| ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
= $true )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f40]) ).
thf(f40,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK1 @ sK5 )
= $true )
| ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f39]) ).
thf(f39,plain,
( ( $true
= ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(not_proxy_clausification,[],[f38]) ).
thf(f38,plain,
( ( $false
= ( ~ ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) ) )
| ( ( sK0 @ sK5 )
= $false )
| ( $true
= ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) ) ) ),
inference(not_proxy_clausification,[],[f37]) ).
thf(f37,plain,
( ( $false
= ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) ) ) )
| ( $false
= ( ~ ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) ) )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(duplicate_literal_removal,[],[f36]) ).
thf(f36,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( $false
= ( ~ ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) ) )
| ( $false
= ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) ) ) )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f15]) ).
thf(f15,plain,
( ( ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $false )
| ( $false
= ( ~ ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) ) )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f14]) ).
thf(f163,plain,
( spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f76,f157,f147]) ).
thf(f76,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( sK1 @ sK5 )
= $true ) ),
inference(duplicate_literal_removal,[],[f75]) ).
thf(f75,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( sK1 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f73]) ).
thf(f73,plain,
( ( $false
= ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ( sK1 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(duplicate_literal_removal,[],[f68]) ).
thf(f68,plain,
( ( ( sK1 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $false )
| ( ( sK1 @ sK5 )
= $true )
| ( $false
= ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) ) ) ),
inference(binary_proxy_clausification,[],[f67]) ).
thf(f67,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( sK1 @ sK5 )
= $true )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 ) )
= $true )
| ( $false
= ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) ) ) ),
inference(not_proxy_clausification,[],[f66]) ).
thf(f66,plain,
( ( ( sK1 @ sK5 )
= $true )
| ( ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) ) )
= $true )
| ( ( sK2 @ sK5 )
= $false )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 ) )
= $true ) ),
inference(not_proxy_clausification,[],[f65]) ).
thf(f65,plain,
( ( $false
= ( ~ ( sK1 @ sK5 ) ) )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 ) )
= $true )
| ( ( sK2 @ sK5 )
= $false )
| ( ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f63]) ).
thf(f63,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true )
| ( $false
= ( ~ ( sK1 @ sK5 ) ) )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f62]) ).
thf(f62,plain,
( ( $false
= ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) ) )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 ) )
= $true )
| ( ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f60]) ).
thf(f60,plain,
( ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
= $true )
| ( $false
= ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) ) )
| ( ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f58]) ).
thf(f58,plain,
( ( $false
= ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
= $true )
| ( ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true ) ),
inference(not_proxy_clausification,[],[f57]) ).
thf(f57,plain,
( ( ( ~ ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) )
= $true )
| ( ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f56]) ).
thf(f56,plain,
( ( ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
| ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) ) )
= $true )
| ( ( ~ ( ( ( sK2 @ sK5 )
& ~ ( sK1 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f12]) ).
thf(f155,plain,
( spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f108,f151,f143]) ).
thf(f108,plain,
( ( ( sK2 @ sK5 )
= $true )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(duplicate_literal_removal,[],[f107]) ).
thf(f107,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f105]) ).
thf(f105,plain,
( ( ( sK2 @ sK5 )
= $true )
| ( $false
= ( sK1 @ sK5 ) )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 ) )
= $true ) ),
inference(duplicate_literal_removal,[],[f100]) ).
thf(f100,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 ) )
= $true )
| ( ( sK2 @ sK5 )
= $true )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f99]) ).
thf(f99,plain,
( ( $false
= ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ( sK2 @ sK5 )
= $true )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 ) )
= $true )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(not_proxy_clausification,[],[f98]) ).
thf(f98,plain,
( ( ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) ) )
= $true )
| ( $false
= ( sK1 @ sK5 ) )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 ) )
= $true )
| ( ( sK2 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f96]) ).
thf(f96,plain,
( ( ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true )
| ( $false
= ( sK1 @ sK5 ) )
| ( ( sK2 @ sK5 )
= $true )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f94]) ).
thf(f94,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( ( sK2 @ sK5 )
= $true )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
= $true )
| ( ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true ) ),
inference(not_proxy_clausification,[],[f93]) ).
thf(f93,plain,
( ( $false
= ( ~ ( sK2 @ sK5 ) ) )
| ( ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
= $true )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f59]) ).
thf(f59,plain,
( ( $false
= ( ~ ( sK2 @ sK5 )
& ( sK1 @ sK5 ) ) )
| ( ( ( sK2 @ sK5 )
& ( sK1 @ sK5 )
& ( sK0 @ sK5 ) )
= $true )
| ( ( ~ ( ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET622^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % 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
% 0.15/0.35 % Computer : n002.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 : Fri May 3 16:26:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 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/sandbox/tmp/tmp.wM3fBz4V8T/Vampire---4.8_26587
% 0.15/0.38 % (26698)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 (3000ds/27Mi)
% 0.15/0.38 % (26696)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.15/0.38 % (26697)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 (3000ds/4Mi)
% 0.15/0.38 % (26699)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.15/0.38 % (26700)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 (3000ds/2Mi)
% 0.15/0.38 % (26702)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.15/0.38 % (26703)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 (3000ds/3Mi)
% 0.15/0.38 % (26701)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 (3000ds/275Mi)
% 0.15/0.38 % (26700)Instruction limit reached!
% 0.15/0.38 % (26700)------------------------------
% 0.15/0.38 % (26700)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (26700)Termination reason: Unknown
% 0.15/0.38 % (26700)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (26700)Memory used [KB]: 895
% 0.15/0.38 % (26700)Time elapsed: 0.003 s
% 0.15/0.38 % (26700)Instructions burned: 2 (million)
% 0.15/0.38 % (26700)------------------------------
% 0.15/0.38 % (26700)------------------------------
% 0.15/0.38 % (26699)Instruction limit reached!
% 0.15/0.38 % (26699)------------------------------
% 0.15/0.38 % (26699)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (26699)Termination reason: Unknown
% 0.15/0.38 % (26699)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (26699)Memory used [KB]: 5500
% 0.15/0.38 % (26699)Time elapsed: 0.004 s
% 0.15/0.38 % (26699)Instructions burned: 2 (million)
% 0.15/0.38 % (26699)------------------------------
% 0.15/0.38 % (26699)------------------------------
% 0.15/0.38 % (26703)Refutation not found, incomplete strategy
% 0.15/0.38 % (26703)------------------------------
% 0.15/0.38 % (26703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (26703)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (26703)Memory used [KB]: 5500
% 0.15/0.38 % (26703)Time elapsed: 0.004 s
% 0.15/0.38 % (26703)Instructions burned: 2 (million)
% 0.15/0.38 % (26703)------------------------------
% 0.15/0.38 % (26703)------------------------------
% 0.15/0.38 % (26697)Instruction limit reached!
% 0.15/0.38 % (26697)------------------------------
% 0.15/0.38 % (26697)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (26697)Termination reason: Unknown
% 0.15/0.38 % (26697)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (26697)Memory used [KB]: 5500
% 0.15/0.38 % (26697)Time elapsed: 0.006 s
% 0.15/0.38 % (26697)Instructions burned: 5 (million)
% 0.15/0.38 % (26697)------------------------------
% 0.15/0.38 % (26697)------------------------------
% 0.15/0.38 % (26696)First to succeed.
% 0.15/0.39 % (26698)Also succeeded, but the first one will report.
% 0.15/0.39 % (26696)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for Vampire---4
% 0.15/0.39 % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.39 % (26696)------------------------------
% 0.15/0.39 % (26696)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (26696)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (26696)Memory used [KB]: 5500
% 0.15/0.39 % (26696)Time elapsed: 0.011 s
% 0.15/0.39 % (26696)Instructions burned: 6 (million)
% 0.15/0.39 % (26696)------------------------------
% 0.15/0.39 % (26696)------------------------------
% 0.15/0.39 % (26695)Success in time 0.01 s
% 0.15/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------