TSTP Solution File: SET621^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET621^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 03:12:29 EDT 2024
% Result : Theorem 0.12s 0.38s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 103 ( 12 unt; 7 typ; 0 def)
% Number of atoms : 909 ( 220 equ; 0 cnn)
% Maximal formula atoms : 5 ( 9 avg)
% Number of connectives : 1138 ( 199 ~; 294 |; 138 &; 500 @)
% ( 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_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(f275,plain,
$false,
inference(avatar_sat_refutation,[],[f216,f233,f245,f261,f264,f267,f270,f274]) ).
thf(f274,plain,
( ~ spl3_2
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f273]) ).
thf(f273,plain,
( $false
| ~ spl3_2
| ~ spl3_6 ),
inference(trivial_inequality_removal,[],[f272]) ).
thf(f272,plain,
( ( $true = $false )
| ~ spl3_2
| ~ spl3_6 ),
inference(forward_demodulation,[],[f260,f199]) ).
thf(f199,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f197]) ).
thf(f197,plain,
( spl3_2
<=> ( $false
= ( sK1 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
thf(f260,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f258]) ).
thf(f258,plain,
( spl3_6
<=> ( $true
= ( sK1 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
thf(f270,plain,
( ~ spl3_1
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f269]) ).
thf(f269,plain,
( $false
| ~ spl3_1
| ~ spl3_3 ),
inference(trivial_inequality_removal,[],[f268]) ).
thf(f268,plain,
( ( $true = $false )
| ~ spl3_1
| ~ spl3_3 ),
inference(forward_demodulation,[],[f195,f204]) ).
thf(f204,plain,
( ( ( sK0 @ sK5 )
= $false )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f202]) ).
thf(f202,plain,
( spl3_3
<=> ( ( sK0 @ sK5 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
thf(f195,plain,
( ( ( sK0 @ sK5 )
= $true )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f193]) ).
thf(f193,plain,
( spl3_1
<=> ( ( sK0 @ sK5 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
thf(f267,plain,
( ~ spl3_4
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f266]) ).
thf(f266,plain,
( $false
| ~ spl3_4
| ~ spl3_5 ),
inference(trivial_inequality_removal,[],[f265]) ).
thf(f265,plain,
( ( $true = $false )
| ~ spl3_4
| ~ spl3_5 ),
inference(forward_demodulation,[],[f209,f214]) ).
thf(f214,plain,
( ( ( sK2 @ sK5 )
= $false )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f212]) ).
thf(f212,plain,
( spl3_5
<=> ( ( sK2 @ sK5 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
thf(f209,plain,
( ( ( sK2 @ sK5 )
= $true )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f207]) ).
thf(f207,plain,
( spl3_4
<=> ( ( sK2 @ sK5 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
thf(f264,plain,
( spl3_6
| spl3_5
| spl3_1 ),
inference(avatar_split_clause,[],[f27,f193,f212,f258]) ).
thf(f27,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(duplicate_literal_removal,[],[f26]) ).
thf(f26,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(not_proxy_clausification,[],[f25]) ).
thf(f25,plain,
( ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( sK2 @ sK5 )
= $false )
| ( ( ~ ( sK0 @ sK5 ) )
= $false ) ),
inference(duplicate_literal_removal,[],[f24]) ).
thf(f24,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( ( ~ ( sK0 @ sK5 ) )
= $false )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $false )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f23]) ).
thf(f23,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( ( sK2 @ sK5 )
= $false )
| ( $false
= ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) ) )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f21]) ).
thf(f21,plain,
( ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( ( sK2 @ sK5 )
= $false )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(duplicate_literal_removal,[],[f20]) ).
thf(f20,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,plain,
( ( $true
= ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( ( sK2 @ sK5 )
= $false )
| ( $true
= ( sK1 @ sK5 ) ) ),
inference(not_proxy_clausification,[],[f18]) ).
thf(f18,plain,
( ( $false
= ( ~ ( sK1 @ sK5 ) ) )
| ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( $true
= ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( ( ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
& ~ ( sK1 @ sK5 ) )
= $false )
| ( $true
= ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(not_proxy_clausification,[],[f16]) ).
thf(f16,plain,
( ( ( ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
= $false )
| ( ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
& ~ ( sK1 @ sK5 ) )
= $false )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f15]) ).
thf(f15,plain,
( ( $false
= ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) ) )
| ( ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
& ~ ( sK1 @ sK5 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( ( ( ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) ) )
= $false )
| ( ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
& ~ ( sK1 @ sK5 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f11,plain,
( ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
& ~ ( sK1 @ sK5 ) )
!= ( ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) ) ) ),
inference(beta_eta_normalization,[],[f10]) ).
thf(f10,plain,
( ( ^ [Y0: a] :
( ( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 ) ) )
& ~ ( sK1 @ Y0 ) )
@ sK5 )
!= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) ) )
| ( ~ ( ( sK1 @ Y0 )
| ( sK2 @ Y0 ) )
& ( sK0 @ Y0 ) ) )
@ sK5 ) ),
inference(negative_extensionality,[],[f9]) ).
thf(f9,plain,
( ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) ) )
| ( ~ ( ( sK1 @ Y0 )
| ( sK2 @ Y0 ) )
& ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 ) ) )
& ~ ( sK1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) ) )
| ( ~ ( ( sK1 @ Y0 )
| ( sK2 @ Y0 ) )
& ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 ) ) )
& ~ ( sK1 @ 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 )
& ~ ( ( X0 @ Y0 )
| ( X1 @ Y0 ) ) )
| ( ~ ( ( X1 @ Y0 )
| ( X2 @ Y0 ) )
& ( X0 @ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ( ( ( X2 @ Y0 )
& ~ ( X0 @ Y0 ) )
| ( ~ ( X2 @ Y0 )
& ( X0 @ Y0 ) ) )
& ~ ( X1 @ Y0 ) ) ) )
=> ( ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) ) )
| ( ~ ( ( sK1 @ Y0 )
| ( sK2 @ Y0 ) )
& ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( ~ ( sK2 @ Y0 )
& ( sK0 @ Y0 ) ) )
& ~ ( sK1 @ Y0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f6,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [Y0: a] :
( ( ( X2 @ Y0 )
& ~ ( ( X0 @ Y0 )
| ( X1 @ Y0 ) ) )
| ( ~ ( ( X1 @ Y0 )
| ( X2 @ Y0 ) )
& ( X0 @ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( ( ( ( X2 @ Y0 )
& ~ ( X0 @ Y0 ) )
| ( ~ ( X2 @ Y0 )
& ( X0 @ Y0 ) ) )
& ~ ( X1 @ Y0 ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [Y0: a] :
( ( ( X2 @ Y0 )
& ~ ( ( X0 @ Y0 )
| ( X1 @ Y0 ) ) )
| ( ~ ( ( X1 @ Y0 )
| ( X2 @ Y0 ) )
& ( X0 @ Y0 ) ) ) )
= ( ^ [Y0: a] :
( ( ( ( X2 @ Y0 )
& ~ ( X0 @ Y0 ) )
| ( ~ ( X2 @ Y0 )
& ( X0 @ Y0 ) ) )
& ~ ( X1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [X3: a] :
( ~ ( X1 @ X3 )
& ( ( ( X0 @ X3 )
& ~ ( X2 @ X3 ) )
| ( ~ ( X0 @ X3 )
& ( X2 @ X3 ) ) ) ) )
= ( ^ [X4: a] :
( ( ( X0 @ X4 )
& ~ ( ( X2 @ X4 )
| ( X1 @ X4 ) ) )
| ( ~ ( ( X1 @ X4 )
| ( X0 @ X4 ) )
& ( X2 @ X4 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X2: a > $o,X1: a > $o] :
( ( ^ [X3: a] :
( ~ ( X2 @ X3 )
& ( ( ( X0 @ X3 )
& ~ ( X1 @ X3 ) )
| ( ~ ( X0 @ X3 )
& ( X1 @ X3 ) ) ) ) )
= ( ^ [X4: a] :
( ( ( X0 @ X4 )
& ~ ( ( X1 @ X4 )
| ( X2 @ X4 ) ) )
| ( ~ ( ( X2 @ X4 )
| ( X0 @ X4 ) )
& ( X1 @ X4 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > $o,X2: a > $o,X1: a > $o] :
( ( ^ [X3: a] :
( ~ ( X2 @ X3 )
& ( ( ( X0 @ X3 )
& ~ ( X1 @ X3 ) )
| ( ~ ( X0 @ X3 )
& ( X1 @ X3 ) ) ) ) )
= ( ^ [X4: a] :
( ( ( X0 @ X4 )
& ~ ( ( X1 @ X4 )
| ( X2 @ X4 ) ) )
| ( ~ ( ( X2 @ X4 )
| ( X0 @ X4 ) )
& ( X1 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_97_pme) ).
thf(f261,plain,
( spl3_4
| spl3_6
| spl3_3 ),
inference(avatar_split_clause,[],[f43,f202,f258,f207]) ).
thf(f43,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(duplicate_literal_removal,[],[f42]) ).
thf(f42,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(not_proxy_clausification,[],[f41]) ).
thf(f41,plain,
( ( ( sK2 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $false )
| ( ( ~ ( sK2 @ sK5 ) )
= $false )
| ( $true
= ( sK1 @ sK5 ) ) ),
inference(duplicate_literal_removal,[],[f40]) ).
thf(f40,plain,
( ( ( ~ ( sK2 @ sK5 ) )
= $false )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $false )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f36,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) )
= $false )
| ( ( sK2 @ sK5 )
= $true )
| ( $true
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f35]) ).
thf(f35,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( sK2 @ sK5 )
= $true )
| ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false ) ),
inference(duplicate_literal_removal,[],[f34]) ).
thf(f34,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $false )
| ( ( sK2 @ sK5 )
= $true )
| ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( $true
= ( sK1 @ sK5 ) ) ),
inference(not_proxy_clausification,[],[f33]) ).
thf(f33,plain,
( ( $false
= ( ~ ( sK1 @ sK5 ) ) )
| ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( ( sK0 @ sK5 )
= $false )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( sK2 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f32]) ).
thf(f32,plain,
( ( $true
= ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
| ( $false
= ( ~ ( sK1 @ sK5 ) ) )
| ( ( sK0 @ sK5 )
= $false )
| ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false ) ),
inference(not_proxy_clausification,[],[f31]) ).
thf(f31,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $false )
| ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
= $false )
| ( $false
= ( ~ ( sK1 @ sK5 ) ) ) ),
inference(binary_proxy_clausification,[],[f30]) ).
thf(f30,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
& ~ ( sK1 @ sK5 ) )
= $false )
| ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f14]) ).
thf(f14,plain,
( ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $false )
| ( ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
& ~ ( sK1 @ sK5 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f245,plain,
( spl3_1
| spl3_4 ),
inference(avatar_split_clause,[],[f87,f207,f193]) ).
thf(f87,plain,
( ( ( sK0 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $true ) ),
inference(duplicate_literal_removal,[],[f82]) ).
thf(f82,plain,
( ( ( sK0 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f81]) ).
thf(f81,plain,
( ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $true ) ),
inference(duplicate_literal_removal,[],[f80]) ).
thf(f80,plain,
( ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK2 @ sK5 )
= $true )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f78]) ).
thf(f78,plain,
( ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) ) )
| ( ( sK2 @ sK5 )
= $true )
| ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f49]) ).
thf(f49,plain,
( ( ( sK2 @ sK5 )
= $true )
| ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) ) ) )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f48]) ).
thf(f48,plain,
( ( ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) )
= $true )
| ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) ) ) )
| ( ( sK2 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f46]) ).
thf(f46,plain,
( ( $true
= ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) ) )
| ( ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) )
= $true )
| ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f45]) ).
thf(f45,plain,
( ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) ) )
| ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f12]) ).
thf(f12,plain,
( ( ( ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) ) )
& ~ ( sK1 @ sK5 ) )
= $true )
| ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f233,plain,
( spl3_5
| spl3_3 ),
inference(avatar_split_clause,[],[f132,f202,f212]) ).
thf(f132,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(duplicate_literal_removal,[],[f131]) ).
thf(f131,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( ( sK0 @ sK5 )
= $false )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f129]) ).
thf(f129,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( $false
= ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(duplicate_literal_removal,[],[f123]) ).
thf(f123,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( sK2 @ sK5 )
= $false )
| ( ( sK0 @ sK5 )
= $false )
| ( $false
= ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) ) ),
inference(binary_proxy_clausification,[],[f122]) ).
thf(f122,plain,
( ( ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
= $false )
| ( ( sK0 @ sK5 )
= $false )
| ( $false
= ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(not_proxy_clausification,[],[f121]) ).
thf(f121,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( $true
= ( ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) ) )
| ( ( sK0 @ sK5 )
= $false )
| ( ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
= $false ) ),
inference(not_proxy_clausification,[],[f120]) ).
thf(f120,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( ( sK2 @ sK5 )
= $false )
| ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true )
| ( $true
= ( ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f118]) ).
thf(f118,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( sK0 @ sK5 )
= $false )
| ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true )
| ( $true
= ( ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) ) ) ),
inference(not_proxy_clausification,[],[f108]) ).
thf(f108,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( $true
= ( ~ ( sK2 @ sK5 ) ) )
| ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true )
| ( $true
= ( ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f107]) ).
thf(f107,plain,
( ( $true
= ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) ) )
| ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true )
| ( $true
= ( ~ ( sK2 @ sK5 ) ) )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f106]) ).
thf(f106,plain,
( ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) ) ) )
| ( $true
= ( ~ ( sK2 @ sK5 ) ) )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f104]) ).
thf(f104,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) )
= $true )
| ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) ) ) ) ),
inference(not_proxy_clausification,[],[f47]) ).
thf(f47,plain,
( ( $true
= ( ~ ( sK0 @ sK5 ) ) )
| ( ( ~ ( sK2 @ sK5 )
& ( sK0 @ sK5 ) )
= $true )
| ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f46]) ).
thf(f216,plain,
spl3_2,
inference(avatar_split_clause,[],[f185,f197]) ).
thf(f185,plain,
( $false
= ( sK1 @ sK5 ) ),
inference(duplicate_literal_removal,[],[f184]) ).
thf(f184,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f182]) ).
thf(f182,plain,
( ( ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
= $false )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(not_proxy_clausification,[],[f181]) ).
thf(f181,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true ) ),
inference(duplicate_literal_removal,[],[f175]) ).
thf(f175,plain,
( ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true )
| ( $false
= ( sK1 @ sK5 ) )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f174]) ).
thf(f174,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( $false
= ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f168]) ).
thf(f168,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( $true
= ( ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) ) )
| ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f167]) ).
thf(f167,plain,
( ( $true
= ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) ) )
| ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) ) )
= $true )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f165]) ).
thf(f165,plain,
( ( ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) )
= $true )
| ( $false
= ( sK1 @ sK5 ) )
| ( $true
= ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f164]) ).
thf(f164,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) ) ) ) ),
inference(not_proxy_clausification,[],[f44]) ).
thf(f44,plain,
( ( $true
= ( ~ ( sK1 @ sK5 ) ) )
| ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) ) )
| ( ~ ( ( sK1 @ sK5 )
| ( sK2 @ sK5 ) )
& ( sK0 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET621^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.14 % 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
% 0.12/0.35 % Computer : n016.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon May 20 13:19:37 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.35 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
% 0.12/0.37 % (6740)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)
% 0.12/0.37 % (6746)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)
% 0.12/0.37 % (6744)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)
% 0.12/0.37 % (6741)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)
% 0.12/0.37 % (6739)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.12/0.37 % (6743)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)
% 0.12/0.37 % (6742)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.12/0.37 % (6742)Instruction limit reached!
% 0.12/0.37 % (6742)------------------------------
% 0.12/0.37 % (6742)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (6742)Termination reason: Unknown
% 0.12/0.37 % (6742)Termination phase: Saturation
% 0.12/0.37 % (6743)Instruction limit reached!
% 0.12/0.37 % (6743)------------------------------
% 0.12/0.37 % (6743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37
% 0.12/0.37 % (6742)Memory used [KB]: 895
% 0.12/0.37 % (6742)Time elapsed: 0.003 s
% 0.12/0.37 % (6742)Instructions burned: 2 (million)
% 0.12/0.37 % (6742)------------------------------
% 0.12/0.37 % (6742)------------------------------
% 0.12/0.37 % (6743)Termination reason: Unknown
% 0.12/0.37 % (6743)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (6743)Memory used [KB]: 895
% 0.12/0.37 % (6743)Time elapsed: 0.003 s
% 0.12/0.37 % (6743)Instructions burned: 2 (million)
% 0.12/0.37 % (6743)------------------------------
% 0.12/0.37 % (6743)------------------------------
% 0.12/0.37 % (6746)Refutation not found, incomplete strategy
% 0.12/0.37 % (6746)------------------------------
% 0.12/0.37 % (6746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (6746)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % (6746)Memory used [KB]: 5500
% 0.12/0.37 % (6746)Time elapsed: 0.003 s
% 0.12/0.37 % (6746)Instructions burned: 2 (million)
% 0.12/0.37 % (6746)------------------------------
% 0.12/0.37 % (6746)------------------------------
% 0.12/0.37 % (6740)Instruction limit reached!
% 0.12/0.37 % (6740)------------------------------
% 0.12/0.37 % (6740)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (6740)Termination reason: Unknown
% 0.12/0.37 % (6740)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (6740)Memory used [KB]: 5500
% 0.12/0.37 % (6740)Time elapsed: 0.005 s
% 0.12/0.37 % (6740)Instructions burned: 4 (million)
% 0.12/0.37 % (6740)------------------------------
% 0.12/0.37 % (6740)------------------------------
% 0.12/0.37 % (6745)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.12/0.37 % (6744)First to succeed.
% 0.12/0.38 % (6739)Also succeeded, but the first one will report.
% 0.12/0.38 % (6741)Also succeeded, but the first one will report.
% 0.12/0.38 % (6744)Refutation found. Thanks to Tanya!
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.38 % (6744)------------------------------
% 0.12/0.38 % (6744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (6744)Termination reason: Refutation
% 0.12/0.38
% 0.12/0.38 % (6744)Memory used [KB]: 5500
% 0.12/0.38 % (6744)Time elapsed: 0.010 s
% 0.12/0.38 % (6744)Instructions burned: 8 (million)
% 0.12/0.38 % (6744)------------------------------
% 0.12/0.38 % (6744)------------------------------
% 0.12/0.38 % (6738)Success in time 0.022 s
% 0.12/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------