TSTP Solution File: GRA028^1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRA028^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n028.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 : Mon Jun 24 06:37:16 EDT 2024
% Result : Theorem 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 10
% Syntax : Number of formulae : 84 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 1176 ( 608 equ; 4 cnn)
% Maximal formula atoms : 46 ( 14 avg)
% Number of connectives : 1399 ( 182 ~; 495 |; 107 &; 600 @)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 12 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 401 ( 401 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 426 ( 34 ^ 337 !; 54 ?; 426 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_3,type,
sK0: ( $o > $o ) > ( $o > $o ) > $o ).
thf(func_def_9,type,
ph2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
sK3: $o > $o ).
thf(f761,plain,
$false,
inference(avatar_sat_refutation,[],[f373,f437,f474,f674,f760]) ).
thf(f760,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f759]) ).
thf(f759,plain,
( $false
| ~ spl1_1 ),
inference(equality_resolution,[],[f702]) ).
thf(f702,plain,
( ! [X0: $o] : ( $false != X0 )
| ~ spl1_1 ),
inference(superposition,[],[f3,f292]) ).
thf(f292,plain,
( ! [X5: $o] : ( $true = X5 )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f291]) ).
thf(f291,plain,
( spl1_1
<=> ! [X5: $o] : ( $true = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
thf(f3,plain,
$true != $false,
introduced(fool_axiom,[]) ).
thf(f674,plain,
( spl1_4
| spl1_4
| spl1_1
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f648,f472,f291,f363,f363]) ).
thf(f363,plain,
( spl1_4
<=> ! [X1: $o] : ( $false = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
thf(f472,plain,
( spl1_10
<=> ! [X4: $o,X2: $o > $o,X3: $o] :
( ( $false = X4 )
| ( $true
= ( X2 @ X3 ) )
| ( ( ^ [Y0: $o] : $false )
= X2 )
| ( ( X2 @ X4 )
= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
thf(f648,plain,
( ! [X2: $o,X0: $o,X1: $o] :
( ( $true = X1 )
| ( $false = X2 )
| ( $false = X0 ) )
| ~ spl1_10 ),
inference(duplicate_literal_removal,[],[f647]) ).
thf(f647,plain,
( ! [X2: $o,X0: $o,X1: $o] :
( ( $true = X1 )
| ( $false = X0 )
| ( $false = X0 )
| ( $false = X2 ) )
| ~ spl1_10 ),
inference(binary_proxy_clausification,[],[f645]) ).
thf(f645,plain,
( ! [X2: $o,X0: $o,X1: $o] :
( ( X0 = X1 )
| ( $false = X0 )
| ( $false = X2 ) )
| ~ spl1_10 ),
inference(duplicate_literal_removal,[],[f644]) ).
thf(f644,plain,
( ! [X2: $o,X0: $o,X1: $o] :
( ( X0 = X1 )
| ( $false = X2 )
| ( $false = X2 )
| ( $false = X0 ) )
| ~ spl1_10 ),
inference(binary_proxy_clausification,[],[f642]) ).
thf(f642,plain,
( ! [X2: $o,X0: $o,X1: $o] :
( ( X0 != X2 )
| ( $false = X2 )
| ( X0 = X1 ) )
| ~ spl1_10 ),
inference(equality_proxy_clausification,[],[f641]) ).
thf(f641,plain,
( ! [X2: $o,X0: $o,X1: $o] :
( ( $false = X2 )
| ( ( X0 = X2 )
= $false )
| ( X0 = X1 ) )
| ~ spl1_10 ),
inference(not_proxy_clausification,[],[f640]) ).
thf(f640,plain,
( ! [X2: $o,X0: $o,X1: $o] :
( ( ( X0 != X2 )
= $true )
| ( $false = X2 )
| ( X0 = X1 ) )
| ~ spl1_10 ),
inference(beta_eta_normalization,[],[f632]) ).
thf(f632,plain,
( ! [X2: $o,X0: $o,X1: $o] :
( ( X0 = X1 )
| ( $false = X2 )
| ( ( ^ [Y0: $o] : ( X0 != Y0 )
@ X2 )
= $true ) )
| ~ spl1_10 ),
inference(leibniz_equality_elimination,[],[f613]) ).
thf(f613,plain,
( ! [X2: $o > $o,X3: $o,X4: $o,X5: $o] :
( ( $true
= ( X2 @ X3 ) )
| ( $false
= ( X2 @ X5 ) )
| ( ( X2 @ X4 )
= $true )
| ( $false = X4 ) )
| ~ spl1_10 ),
inference(beta_eta_normalization,[],[f609]) ).
thf(f609,plain,
( ! [X2: $o > $o,X3: $o,X4: $o,X5: $o] :
( ( ( X2 @ X4 )
= $true )
| ( ( ^ [Y0: $o] : $false
@ X5 )
= ( X2 @ X5 ) )
| ( $false = X4 )
| ( $true
= ( X2 @ X3 ) ) )
| ~ spl1_10 ),
inference(argument_congruence,[],[f473]) ).
thf(f473,plain,
( ! [X2: $o > $o,X3: $o,X4: $o] :
( ( ( ^ [Y0: $o] : $false )
= X2 )
| ( $false = X4 )
| ( $true
= ( X2 @ X3 ) )
| ( ( X2 @ X4 )
= $true ) )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f472]) ).
thf(f474,plain,
( spl1_10
| spl1_4
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f462,f371,f363,f472]) ).
thf(f371,plain,
( spl1_6
<=> ! [X2: $o > $o,X1: $o,X3: $o] :
( ( $true
= ( X2 @ X3 ) )
| ( ( ^ [Y0: $o] : $false )
= X2 )
| ( $false = X1 )
| ( ( (=) @ X1 )
= X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
thf(f462,plain,
( ! [X2: $o > $o,X3: $o,X1: $o,X4: $o] :
( ( $false = X4 )
| ( ( ^ [Y0: $o] : $false )
= X2 )
| ( ( X2 @ X4 )
= $true )
| ( $false = X1 )
| ( $true
= ( X2 @ X3 ) ) )
| ~ spl1_6 ),
inference(duplicate_literal_removal,[],[f461]) ).
thf(f461,plain,
( ! [X2: $o > $o,X3: $o,X1: $o,X4: $o] :
( ( $false = X1 )
| ( $false = X1 )
| ( ( X2 @ X4 )
= $true )
| ( ( ^ [Y0: $o] : $false )
= X2 )
| ( $true
= ( X2 @ X3 ) )
| ( $false = X4 ) )
| ~ spl1_6 ),
inference(binary_proxy_clausification,[],[f459]) ).
thf(f459,plain,
( ! [X2: $o > $o,X3: $o,X1: $o,X4: $o] :
( ( ( X2 @ X4 )
= $true )
| ( X1 != X4 )
| ( $true
= ( X2 @ X3 ) )
| ( $false = X1 )
| ( ( ^ [Y0: $o] : $false )
= X2 ) )
| ~ spl1_6 ),
inference(equality_proxy_clausification,[],[f453]) ).
thf(f453,plain,
( ! [X2: $o > $o,X3: $o,X1: $o,X4: $o] :
( ( ( X2 @ X4 )
= $true )
| ( $false = X1 )
| ( ( ^ [Y0: $o] : $false )
= X2 )
| ( $true
= ( X2 @ X3 ) )
| ( ( X1 = X4 )
= $false ) )
| ~ spl1_6 ),
inference(binary_proxy_clausification,[],[f448]) ).
thf(f448,plain,
( ! [X2: $o > $o,X3: $o,X1: $o,X4: $o] :
( ( ( ^ [Y0: $o] : $false )
= X2 )
| ( $false = X1 )
| ( ( X2 @ X4 )
= ( X1 = X4 ) )
| ( $true
= ( X2 @ X3 ) ) )
| ~ spl1_6 ),
inference(argument_congruence,[],[f372]) ).
thf(f372,plain,
( ! [X2: $o > $o,X3: $o,X1: $o] :
( ( ( (=) @ X1 )
= X2 )
| ( ( ^ [Y0: $o] : $false )
= X2 )
| ( $false = X1 )
| ( $true
= ( X2 @ X3 ) ) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f371]) ).
thf(f437,plain,
~ spl1_4,
inference(avatar_contradiction_clause,[],[f436]) ).
thf(f436,plain,
( $false
| ~ spl1_4 ),
inference(trivial_inequality_removal,[],[f435]) ).
thf(f435,plain,
( ( $false != $false )
| ~ spl1_4 ),
inference(superposition,[],[f3,f364]) ).
thf(f364,plain,
( ! [X1: $o] : ( $false = X1 )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f363]) ).
thf(f373,plain,
( spl1_6
| spl1_1 ),
inference(avatar_split_clause,[],[f354,f291,f371]) ).
thf(f354,plain,
! [X2: $o > $o,X3: $o,X0: $o,X1: $o] :
( ( $true
= ( X2 @ X3 ) )
| ( $false = X1 )
| ( ( ^ [Y0: $o] : $false )
= X2 )
| ( ( (=) @ X1 )
= X2 )
| ( $true = X0 ) ),
inference(binary_proxy_clausification,[],[f342]) ).
thf(f342,plain,
! [X2: $o > $o,X3: $o,X0: $o,X1: $o] :
( ( $true
= ( X2 @ X3 ) )
| ( ( ^ [Y0: $o] : $false )
= X2 )
| ( ( (=) @ X1 )
= X2 )
| ( X0 = X1 ) ),
inference(leibniz_equality_elimination,[],[f319]) ).
thf(f319,plain,
! [X2: $o > $o,X0: $o > $o,X6: $o,X7: $o,X4: $o] :
( ( ( ^ [Y0: $o] : $false )
= X0 )
| ( ( X2 @ X7 )
= $false )
| ( ( X0 @ X6 )
= $true )
| ( ( X2 @ X4 )
= $true )
| ( X0 = X2 ) ),
inference(beta_eta_normalization,[],[f311]) ).
thf(f311,plain,
! [X2: $o > $o,X0: $o > $o,X6: $o,X7: $o,X4: $o] :
( ( ( X2 @ X7 )
= ( ^ [Y0: $o] : $false
@ X7 ) )
| ( X0 = X2 )
| ( ( ^ [Y0: $o] : $false )
= X0 )
| ( ( X0 @ X6 )
= $true )
| ( ( X2 @ X4 )
= $true ) ),
inference(argument_congruence,[],[f286]) ).
thf(f286,plain,
! [X2: $o > $o,X0: $o > $o,X6: $o,X4: $o] :
( ( ( ^ [Y0: $o] : $false )
= X2 )
| ( ( X2 @ X4 )
= $true )
| ( ( X0 @ X6 )
= $true )
| ( X0 = X2 )
| ( ( ^ [Y0: $o] : $false )
= X0 ) ),
inference(trivial_inequality_removal,[],[f285]) ).
thf(f285,plain,
! [X2: $o > $o,X0: $o > $o,X6: $o,X4: $o] :
( ( $true = $false )
| ( ( X0 @ X6 )
= $true )
| ( X0 = X2 )
| ( ( X2 @ X4 )
= $true )
| ( ( ^ [Y0: $o] : $false )
= X2 )
| ( ( ^ [Y0: $o] : $false )
= X0 ) ),
inference(beta_eta_normalization,[],[f274]) ).
thf(f274,plain,
! [X2: $o > $o,X0: $o > $o,X6: $o,X4: $o,X5: $o] :
( ( ( X0 @ X6 )
= $true )
| ( ( ^ [Y0: $o] : $false )
= X0 )
| ( ( ^ [Y0: $o] : $false
@ X5 )
= $true )
| ( ( X2 @ X4 )
= $true )
| ( ( ^ [Y0: $o] : $false )
= X2 )
| ( X0 = X2 ) ),
inference(primitive_instantiation,[],[f251]) ).
thf(f251,plain,
! [X2: $o > $o,X0: $o > $o,X1: $o > $o,X6: $o,X4: $o,X5: $o] :
( ( $true
= ( X1 @ X5 ) )
| ( X1 = X2 )
| ( ( X0 @ X6 )
= $true )
| ( ( X2 @ X4 )
= $true )
| ( X0 = X2 )
| ( X0 = X1 ) ),
inference(beta_eta_normalization,[],[f232]) ).
thf(f232,plain,
! [X2: $o > $o,X0: $o > $o,X1: $o > $o,X6: $o,X4: $o,X5: $o] :
( ( $true
= ( X1 @ X5 ) )
| ( X0 = X2 )
| ( X1 = X2 )
| ( ( X0 @ X6 )
= ( ^ [Y0: $o] : $true
@ X6 ) )
| ( X0 = X1 )
| ( ( X2 @ X4 )
= $true ) ),
inference(argument_congruence,[],[f217]) ).
thf(f217,plain,
! [X2: $o > $o,X0: $o > $o,X1: $o > $o,X4: $o,X5: $o] :
( ( ( ^ [Y0: $o] : $true )
= X0 )
| ( X0 = X1 )
| ( X1 = X2 )
| ( ( X2 @ X4 )
= $true )
| ( $true
= ( X1 @ X5 ) )
| ( X0 = X2 ) ),
inference(beta_eta_normalization,[],[f196]) ).
thf(f196,plain,
! [X2: $o > $o,X0: $o > $o,X1: $o > $o,X4: $o,X5: $o] :
( ( X0 = X2 )
| ( ( ^ [Y0: $o] : $true
@ X5 )
= ( X1 @ X5 ) )
| ( ( ^ [Y0: $o] : $true )
= X0 )
| ( X0 = X1 )
| ( X1 = X2 )
| ( ( X2 @ X4 )
= $true ) ),
inference(argument_congruence,[],[f173]) ).
thf(f173,plain,
! [X2: $o > $o,X0: $o > $o,X1: $o > $o,X4: $o] :
( ( ( ^ [Y0: $o] : $true )
= X1 )
| ( X0 = X2 )
| ( ( ^ [Y0: $o] : $true )
= X0 )
| ( X1 = X2 )
| ( ( X2 @ X4 )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f172]) ).
thf(f172,plain,
! [X2: $o > $o,X0: $o > $o,X1: $o > $o,X4: $o] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( ( ^ [Y0: $o] : $true )
= X1 )
| ( ( X2 @ X4 )
= $true )
| ( ( ^ [Y0: $o] : $true )
= X0 )
| ( $true = $false )
| ( X0 = X2 ) ),
inference(beta_eta_normalization,[],[f164]) ).
thf(f164,plain,
! [X2: $o > $o,X0: $o > $o,X1: $o > $o,X4: $o] :
( ( X1 = X2 )
| ( X0 = X2 )
| ( ( X2 @ X4 )
= $true )
| ( ( ^ [Y0: $o] : $true )
= X1 )
| ( ( ^ [Y0: $o] : $true )
= X0 )
| ( ( ^ [Y0: $o] : $true
@ X4 )
= $false )
| ( X0 = X1 ) ),
inference(primitive_instantiation,[],[f133]) ).
thf(f133,plain,
! [X2: $o > $o,X3: $o > $o,X0: $o > $o,X1: $o > $o,X4: $o] :
( ( ( X3 @ X4 )
= $false )
| ( X1 = X3 )
| ( X0 = X3 )
| ( ( X2 @ X4 )
= $true )
| ( X0 = X1 )
| ( X1 = X2 )
| ( X0 = X2 ) ),
inference(binary_proxy_clausification,[],[f118]) ).
thf(f118,plain,
! [X2: $o > $o,X3: $o > $o,X0: $o > $o,X1: $o > $o,X4: $o] :
( ( X0 = X1 )
| ( X0 = X3 )
| ( X1 = X2 )
| ( X0 = X2 )
| ( X1 = X3 )
| ( ( X2 @ X4 )
= ( X3 @ X4 ) ) ),
inference(argument_congruence,[],[f95]) ).
thf(f95,plain,
! [X2: $o > $o,X3: $o > $o,X0: $o > $o,X1: $o > $o] :
( ( X2 = X3 )
| ( X1 = X3 )
| ( X0 = X3 )
| ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 ) ),
inference(duplicate_literal_removal,[],[f94]) ).
thf(f94,plain,
! [X2: $o > $o,X3: $o > $o,X0: $o > $o,X1: $o > $o] :
( ( X0 = X1 )
| ( X2 = X3 )
| ( X0 = X2 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X3 )
| ( X0 = X2 ) ),
inference(equality_proxy_clausification,[],[f93]) ).
thf(f93,plain,
! [X2: $o > $o,X3: $o > $o,X0: $o > $o,X1: $o > $o] :
( ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ( X0 = X2 )
= $true )
| ( X2 = X3 )
| ( X0 = X2 )
| ( X0 = X3 ) ),
inference(equality_proxy_clausification,[],[f92]) ).
thf(f92,plain,
! [X2: $o > $o,X3: $o > $o,X0: $o > $o,X1: $o > $o] :
( ( X0 = X2 )
| ( X1 = X3 )
| ( X0 = X1 )
| ( X1 = X2 )
| ( X2 = X3 )
| ( $true
= ( X0 = X3 ) )
| ( ( X0 = X2 )
= $true ) ),
inference(duplicate_literal_removal,[],[f73]) ).
thf(f73,plain,
! [X2: $o > $o,X3: $o > $o,X0: $o > $o,X1: $o > $o] :
( ( ( X0 = X2 )
= $true )
| ( $true
= ( X0 = X3 ) )
| ( X0 = X2 )
| ( X2 = X3 )
| ( X1 = X3 )
| ( X0 = X1 )
| ( X1 = X2 )
| ( X0 = X1 ) ),
inference(leibniz_equality_elimination,[],[f72]) ).
thf(f72,plain,
! [X2: $o > $o,X3: $o > $o,X0: $o > $o,X1: $o > $o,X4: ( $o > $o ) > $o] :
( ( ( X4 @ X1 )
!= $true )
| ( X0 = X2 )
| ( X0 = X3 )
| ( ( X4 @ X0 )
= $true )
| ( X2 = X3 )
| ( X0 = X1 )
| ( X1 = X2 )
| ( $true
= ( X4 @ X2 ) )
| ( ( X4 @ X3 )
= $true ) ),
inference(duplicate_literal_removal,[],[f71]) ).
thf(f71,plain,
! [X2: $o > $o,X3: $o > $o,X0: $o > $o,X1: $o > $o,X4: ( $o > $o ) > $o] :
( ( ( X4 @ X0 )
= $true )
| ( X0 = X3 )
| ( $true
= ( X4 @ X2 ) )
| ( ( X4 @ X3 )
= $true )
| ( ( X4 @ X1 )
!= $true )
| ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X2 = X3 ) ),
inference(equality_proxy_clausification,[],[f70]) ).
thf(f70,plain,
! [X2: $o > $o,X3: $o > $o,X0: $o > $o,X1: $o > $o,X4: ( $o > $o ) > $o] :
( ( X0 = X3 )
| ( X0 = X2 )
| ( ( X0 = X2 )
= $true )
| ( ( X4 @ X0 )
= $true )
| ( ( X4 @ X3 )
= $true )
| ( X2 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( $true
= ( X4 @ X2 ) )
| ( ( X4 @ X1 )
!= $true ) ),
inference(equality_proxy_clausification,[],[f51]) ).
thf(f51,plain,
! [X2: $o > $o,X3: $o > $o,X0: $o > $o,X1: $o > $o,X4: ( $o > $o ) > $o] :
( ( X2 = X3 )
| ( $true
= ( X4 @ X2 ) )
| ( X0 = X1 )
| ( $true
= ( X0 = X3 ) )
| ( ( X4 @ X3 )
= $true )
| ( ( X0 = X2 )
= $true )
| ( X1 = X2 )
| ( ( X4 @ X1 )
!= $true )
| ( ( X4 @ X0 )
= $true )
| ( X0 = X2 ) ),
inference(leibniz_equality_elimination,[],[f46]) ).
thf(f46,plain,
! [X2: $o > $o,X3: ( $o > $o ) > $o,X0: $o > $o,X1: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
( ( ( X5 @ X2 )
!= $true )
| ( ( X5 @ X0 )
= $true )
| ( $true
= ( X3 @ X1 ) )
| ( $true
= ( X5 @ X1 ) )
| ( $true
= ( X3 @ X0 ) )
| ( X0 = X2 )
| ( ( X5 @ X4 )
= $true )
| ( X0 = X1 )
| ( ( X3 @ X4 )
!= $true )
| ( ( X3 @ X2 )
= $true )
| ( X0 = X4 ) ),
inference(subsumption_resolution,[],[f45,f15]) ).
thf(f15,plain,
! [X0: $o > $o,X1: $o > $o] :
( ( ( sK0 @ X0 @ X1 )
!= $true )
| ( X0 = X1 ) ),
inference(leibniz_equality_elimination,[],[f13]) ).
thf(f13,plain,
! [X3: ( $o > $o ) > $o,X4: $o > $o,X5: $o > $o] :
( ( ( sK0 @ X4 @ X5 )
!= $true )
| ( $true
!= ( X3 @ X5 ) )
| ( ( X3 @ X4 )
= $true ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
( ! [X1: $o > $o,X2: $o > $o] :
( ( ( sK0 @ X2 @ X1 )
= $true )
| ( ( sK0 @ X1 @ X2 )
!= $true ) )
& ! [X3: ( $o > $o ) > $o,X4: $o > $o,X5: $o > $o] :
( ( ( sK0 @ X4 @ X5 )
!= $true )
| ( $true
!= ( X3 @ X5 ) )
| ( ( X3 @ X4 )
= $true ) )
& ! [X6: $o > $o,X7: ( $o > $o ) > $o,X8: $o > $o,X9: ( $o > $o ) > $o,X10: $o > $o,X11: ( $o > $o ) > $o,X12: $o > $o] :
( ( ( X9 @ X12 )
= $true )
| ( $true
= ( sK0 @ X12 @ X6 ) )
| ( ( sK0 @ X12 @ X10 )
= $true )
| ( ( X9 @ X6 )
= $true )
| ( $true
= ( sK0 @ X12 @ X8 ) )
| ( ( sK0 @ X10 @ X6 )
= $true )
| ( ( X11 @ X6 )
!= $true )
| ( ( X9 @ X10 )
= $true )
| ( ( X11 @ X8 )
= $true )
| ( ( X11 @ X12 )
= $true )
| ( ( X7 @ X6 )
= $true )
| ( ( X9 @ X8 )
!= $true )
| ( ( sK0 @ X8 @ X10 )
= $true )
| ( ( X7 @ X10 )
!= $true )
| ( ( X7 @ X12 )
= $true )
| ( ( sK0 @ X8 @ X6 )
= $true )
| ( ( X11 @ X10 )
= $true )
| ( $true
= ( X7 @ X8 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10]) ).
thf(f10,plain,
( ? [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X1: $o > $o,X2: $o > $o] :
( ( ( X0 @ X2 @ X1 )
= $true )
| ( ( X0 @ X1 @ X2 )
!= $true ) )
& ! [X3: ( $o > $o ) > $o,X4: $o > $o,X5: $o > $o] :
( ( $true
!= ( X0 @ X4 @ X5 ) )
| ( $true
!= ( X3 @ X5 ) )
| ( ( X3 @ X4 )
= $true ) )
& ! [X6: $o > $o,X7: ( $o > $o ) > $o,X8: $o > $o,X9: ( $o > $o ) > $o,X10: $o > $o,X11: ( $o > $o ) > $o,X12: $o > $o] :
( ( ( X9 @ X12 )
= $true )
| ( ( X0 @ X12 @ X6 )
= $true )
| ( ( X0 @ X12 @ X10 )
= $true )
| ( ( X9 @ X6 )
= $true )
| ( $true
= ( X0 @ X12 @ X8 ) )
| ( ( X0 @ X10 @ X6 )
= $true )
| ( ( X11 @ X6 )
!= $true )
| ( ( X9 @ X10 )
= $true )
| ( ( X11 @ X8 )
= $true )
| ( ( X11 @ X12 )
= $true )
| ( ( X7 @ X6 )
= $true )
| ( ( X9 @ X8 )
!= $true )
| ( ( X0 @ X8 @ X10 )
= $true )
| ( ( X7 @ X10 )
!= $true )
| ( ( X7 @ X12 )
= $true )
| ( ( X0 @ X8 @ X6 )
= $true )
| ( ( X11 @ X10 )
= $true )
| ( $true
= ( X7 @ X8 ) ) ) )
=> ( ! [X2: $o > $o,X1: $o > $o] :
( ( ( sK0 @ X2 @ X1 )
= $true )
| ( ( sK0 @ X1 @ X2 )
!= $true ) )
& ! [X5: $o > $o,X4: $o > $o,X3: ( $o > $o ) > $o] :
( ( ( sK0 @ X4 @ X5 )
!= $true )
| ( $true
!= ( X3 @ X5 ) )
| ( ( X3 @ X4 )
= $true ) )
& ! [X12: $o > $o,X11: ( $o > $o ) > $o,X10: $o > $o,X9: ( $o > $o ) > $o,X8: $o > $o,X7: ( $o > $o ) > $o,X6: $o > $o] :
( ( ( X9 @ X12 )
= $true )
| ( $true
= ( sK0 @ X12 @ X6 ) )
| ( ( sK0 @ X12 @ X10 )
= $true )
| ( ( X9 @ X6 )
= $true )
| ( $true
= ( sK0 @ X12 @ X8 ) )
| ( ( sK0 @ X10 @ X6 )
= $true )
| ( ( X11 @ X6 )
!= $true )
| ( ( X9 @ X10 )
= $true )
| ( ( X11 @ X8 )
= $true )
| ( ( X11 @ X12 )
= $true )
| ( ( X7 @ X6 )
= $true )
| ( ( X9 @ X8 )
!= $true )
| ( ( sK0 @ X8 @ X10 )
= $true )
| ( ( X7 @ X10 )
!= $true )
| ( ( X7 @ X12 )
= $true )
| ( ( sK0 @ X8 @ X6 )
= $true )
| ( ( X11 @ X10 )
= $true )
| ( $true
= ( X7 @ X8 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
? [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X1: $o > $o,X2: $o > $o] :
( ( ( X0 @ X2 @ X1 )
= $true )
| ( ( X0 @ X1 @ X2 )
!= $true ) )
& ! [X3: ( $o > $o ) > $o,X4: $o > $o,X5: $o > $o] :
( ( $true
!= ( X0 @ X4 @ X5 ) )
| ( $true
!= ( X3 @ X5 ) )
| ( ( X3 @ X4 )
= $true ) )
& ! [X6: $o > $o,X7: ( $o > $o ) > $o,X8: $o > $o,X9: ( $o > $o ) > $o,X10: $o > $o,X11: ( $o > $o ) > $o,X12: $o > $o] :
( ( ( X9 @ X12 )
= $true )
| ( ( X0 @ X12 @ X6 )
= $true )
| ( ( X0 @ X12 @ X10 )
= $true )
| ( ( X9 @ X6 )
= $true )
| ( $true
= ( X0 @ X12 @ X8 ) )
| ( ( X0 @ X10 @ X6 )
= $true )
| ( ( X11 @ X6 )
!= $true )
| ( ( X9 @ X10 )
= $true )
| ( ( X11 @ X8 )
= $true )
| ( ( X11 @ X12 )
= $true )
| ( ( X7 @ X6 )
= $true )
| ( ( X9 @ X8 )
!= $true )
| ( ( X0 @ X8 @ X10 )
= $true )
| ( ( X7 @ X10 )
!= $true )
| ( ( X7 @ X12 )
= $true )
| ( ( X0 @ X8 @ X6 )
= $true )
| ( ( X11 @ X10 )
= $true )
| ( $true
= ( X7 @ X8 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
? [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X2: $o > $o,X1: $o > $o] :
( ( ( X0 @ X1 @ X2 )
= $true )
| ( ( X0 @ X2 @ X1 )
!= $true ) )
& ! [X4: ( $o > $o ) > $o,X3: $o > $o,X5: $o > $o] :
( ( ( X0 @ X3 @ X5 )
!= $true )
| ( ( X4 @ X5 )
!= $true )
| ( ( X4 @ X3 )
= $true ) )
& ! [X7: $o > $o,X11: ( $o > $o ) > $o,X9: $o > $o,X12: ( $o > $o ) > $o,X10: $o > $o,X6: ( $o > $o ) > $o,X8: $o > $o] :
( ( ( X12 @ X8 )
= $true )
| ( ( X0 @ X8 @ X7 )
= $true )
| ( ( X0 @ X8 @ X10 )
= $true )
| ( $true
= ( X12 @ X7 ) )
| ( ( X0 @ X8 @ X9 )
= $true )
| ( $true
= ( X0 @ X10 @ X7 ) )
| ( ( X6 @ X7 )
!= $true )
| ( ( X12 @ X10 )
= $true )
| ( ( X6 @ X9 )
= $true )
| ( $true
= ( X6 @ X8 ) )
| ( $true
= ( X11 @ X7 ) )
| ( $true
!= ( X12 @ X9 ) )
| ( $true
= ( X0 @ X9 @ X10 ) )
| ( ( X11 @ X10 )
!= $true )
| ( ( X11 @ X8 )
= $true )
| ( $true
= ( X0 @ X9 @ X7 ) )
| ( ( X6 @ X10 )
= $true )
| ( ( X11 @ X9 )
= $true ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X7: $o > $o,X11: ( $o > $o ) > $o,X9: $o > $o,X12: ( $o > $o ) > $o,X10: $o > $o,X6: ( $o > $o ) > $o,X8: $o > $o] :
( ( ( X12 @ X8 )
= $true )
| ( ( X0 @ X8 @ X7 )
= $true )
| ( ( X0 @ X8 @ X10 )
= $true )
| ( $true
= ( X12 @ X7 ) )
| ( ( X0 @ X8 @ X9 )
= $true )
| ( $true
= ( X0 @ X10 @ X7 ) )
| ( ( X6 @ X7 )
!= $true )
| ( ( X12 @ X10 )
= $true )
| ( ( X6 @ X9 )
= $true )
| ( $true
= ( X6 @ X8 ) )
| ( $true
= ( X11 @ X7 ) )
| ( $true
!= ( X12 @ X9 ) )
| ( $true
= ( X0 @ X9 @ X10 ) )
| ( ( X11 @ X10 )
!= $true )
| ( ( X11 @ X8 )
= $true )
| ( $true
= ( X0 @ X9 @ X7 ) )
| ( ( X6 @ X10 )
= $true )
| ( ( X11 @ X9 )
= $true ) )
& ! [X4: ( $o > $o ) > $o,X3: $o > $o,X5: $o > $o] :
( ( ( X0 @ X3 @ X5 )
!= $true )
| ( ( X4 @ X5 )
!= $true )
| ( ( X4 @ X3 )
= $true ) )
& ! [X2: $o > $o,X1: $o > $o] :
( ( ( X0 @ X1 @ X2 )
= $true )
| ( ( X0 @ X2 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X1: $o > $o,X2: $o > $o] :
( ( ( X0 @ X2 @ X1 )
= $true )
=> ( ( X0 @ X1 @ X2 )
= $true ) )
=> ( ? [X10: $o > $o,X12: ( $o > $o ) > $o,X7: $o > $o,X8: $o > $o,X9: $o > $o,X6: ( $o > $o ) > $o,X11: ( $o > $o ) > $o] :
( ( ( X6 @ X10 )
!= $true )
& ( $true
!= ( X0 @ X9 @ X10 ) )
& ( ( X11 @ X9 )
!= $true )
& ( ( X6 @ X7 )
= $true )
& ( ( X12 @ X10 )
!= $true )
& ( $true
!= ( X12 @ X7 ) )
& ( ( X11 @ X8 )
!= $true )
& ( $true
!= ( X0 @ X9 @ X7 ) )
& ( $true
= ( X12 @ X9 ) )
& ( ( X0 @ X8 @ X10 )
!= $true )
& ( $true
!= ( X11 @ X7 ) )
& ( $true
!= ( X6 @ X8 ) )
& ( ( X11 @ X10 )
= $true )
& ( $true
!= ( X0 @ X10 @ X7 ) )
& ( ( X6 @ X9 )
!= $true )
& ( ( X0 @ X8 @ X9 )
!= $true )
& ( ( X12 @ X8 )
!= $true )
& ( ( X0 @ X8 @ X7 )
!= $true ) )
| ? [X3: $o > $o,X5: $o > $o,X4: ( $o > $o ) > $o] :
( ( ( X4 @ X5 )
= $true )
& ( ( X4 @ X3 )
!= $true )
& ( ( X0 @ X3 @ X5 )
= $true ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
~ ! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X1: $o > $o,X2: $o > $o] :
( ( ( X0 @ X2 @ X1 )
= $true )
=> ( ( X0 @ X1 @ X2 )
= $true ) )
=> ( ? [X3: $o > $o,X4: ( $o > $o ) > $o,X5: $o > $o] :
( ( ( X4 @ X3 )
!= $true )
& ( ( X4 @ X5 )
= $true )
& ( ( X0 @ X3 @ X5 )
= $true ) )
| ? [X6: ( $o > $o ) > $o,X7: $o > $o,X8: $o > $o,X9: $o > $o,X10: $o > $o,X11: ( $o > $o ) > $o,X12: ( $o > $o ) > $o] :
( ( ( X11 @ X10 )
= $true )
& ( $true
!= ( X0 @ X10 @ X7 ) )
& ( $true
!= ( X0 @ X9 @ X10 ) )
& ( $true
!= ( X0 @ X9 @ X7 ) )
& ( ( X12 @ X8 )
!= $true )
& ( $true
= ( X12 @ X9 ) )
& ( ( X0 @ X8 @ X10 )
!= $true )
& ( ( X6 @ X9 )
!= $true )
& ( ( X0 @ X8 @ X7 )
!= $true )
& ( $true
!= ( X11 @ X7 ) )
& ( ( X0 @ X8 @ X9 )
!= $true )
& ( ( X11 @ X8 )
!= $true )
& ( ( X11 @ X9 )
!= $true )
& ( $true
!= ( X6 @ X8 ) )
& ( ( X12 @ X10 )
!= $true )
& ( $true
!= ( X12 @ X7 ) )
& ( ( X6 @ X7 )
= $true )
& ( ( X6 @ X10 )
!= $true ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X1: $o > $o,X2: $o > $o] :
( ( X0 @ X2 @ X1 )
=> ( X0 @ X1 @ X2 ) )
=> ( ? [X3: $o > $o,X4: ( $o > $o ) > $o,X5: $o > $o] :
( ~ ( X4 @ X3 )
& ( X4 @ X5 )
& ( X0 @ X3 @ X5 ) )
| ? [X6: ( $o > $o ) > $o,X7: $o > $o,X8: $o > $o,X9: $o > $o,X10: $o > $o,X11: ( $o > $o ) > $o,X12: ( $o > $o ) > $o] :
( ( X11 @ X10 )
& ~ ( X0 @ X10 @ X7 )
& ~ ( X0 @ X9 @ X10 )
& ~ ( X0 @ X9 @ X7 )
& ~ ( X12 @ X8 )
& ( X12 @ X9 )
& ~ ( X0 @ X8 @ X10 )
& ~ ( X6 @ X9 )
& ~ ( X0 @ X8 @ X7 )
& ~ ( X11 @ X7 )
& ~ ( X0 @ X8 @ X9 )
& ~ ( X11 @ X8 )
& ~ ( X11 @ X9 )
& ~ ( X6 @ X8 )
& ~ ( X12 @ X10 )
& ~ ( X12 @ X7 )
& ( X6 @ X7 )
& ~ ( X6 @ X10 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X2: $o > $o,X1: $o > $o] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) )
=> ( ? [X4: $o > $o,X5: ( $o > $o ) > $o,X3: $o > $o] :
( ~ ( X5 @ X4 )
& ( X5 @ X3 )
& ( X0 @ X4 @ X3 ) )
| ? [X5: ( $o > $o ) > $o,X3: $o > $o,X7: $o > $o,X6: $o > $o,X4: $o > $o,X8: ( $o > $o ) > $o,X9: ( $o > $o ) > $o] :
( ( X8 @ X4 )
& ~ ( X0 @ X4 @ X3 )
& ~ ( X0 @ X6 @ X4 )
& ~ ( X0 @ X6 @ X3 )
& ~ ( X9 @ X7 )
& ( X9 @ X6 )
& ~ ( X0 @ X7 @ X4 )
& ~ ( X5 @ X6 )
& ~ ( X0 @ X7 @ X3 )
& ~ ( X8 @ X3 )
& ~ ( X0 @ X7 @ X6 )
& ~ ( X8 @ X7 )
& ~ ( X8 @ X6 )
& ~ ( X5 @ X7 )
& ~ ( X9 @ X4 )
& ~ ( X9 @ X3 )
& ( X5 @ X3 )
& ~ ( X5 @ X4 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X2: $o > $o,X1: $o > $o] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) )
=> ( ? [X4: $o > $o,X5: ( $o > $o ) > $o,X3: $o > $o] :
( ~ ( X5 @ X4 )
& ( X5 @ X3 )
& ( X0 @ X4 @ X3 ) )
| ? [X5: ( $o > $o ) > $o,X3: $o > $o,X7: $o > $o,X6: $o > $o,X4: $o > $o,X8: ( $o > $o ) > $o,X9: ( $o > $o ) > $o] :
( ( X8 @ X4 )
& ~ ( X0 @ X4 @ X3 )
& ~ ( X0 @ X6 @ X4 )
& ~ ( X0 @ X6 @ X3 )
& ~ ( X9 @ X7 )
& ( X9 @ X6 )
& ~ ( X0 @ X7 @ X4 )
& ~ ( X5 @ X6 )
& ~ ( X0 @ X7 @ X3 )
& ~ ( X8 @ X3 )
& ~ ( X0 @ X7 @ X6 )
& ~ ( X8 @ X7 )
& ~ ( X8 @ X6 )
& ~ ( X5 @ X7 )
& ~ ( X9 @ X4 )
& ~ ( X9 @ X3 )
& ( X5 @ X3 )
& ~ ( X5 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ramsey_u_2_4_4) ).
thf(f45,plain,
! [X2: $o > $o,X3: ( $o > $o ) > $o,X0: $o > $o,X1: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
( ( $true
= ( X3 @ X1 ) )
| ( ( X5 @ X2 )
!= $true )
| ( $true
= ( X3 @ X0 ) )
| ( X0 = X2 )
| ( ( X5 @ X4 )
= $true )
| ( ( X3 @ X4 )
!= $true )
| ( $true
= ( X5 @ X1 ) )
| ( X0 = X1 )
| ( ( X3 @ X2 )
= $true )
| ( ( X5 @ X0 )
= $true )
| ( X0 = X4 )
| ( ( sK0 @ X4 @ X0 )
= $true ) ),
inference(subsumption_resolution,[],[f44,f13]) ).
thf(f44,plain,
! [X2: $o > $o,X3: ( $o > $o ) > $o,X0: $o > $o,X1: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
( ( X0 = X1 )
| ( $true
= ( X5 @ X1 ) )
| ( $true
= ( X3 @ X1 ) )
| ( ( X5 @ X0 )
= $true )
| ( ( sK0 @ X4 @ X2 )
= $true )
| ( ( X3 @ X2 )
= $true )
| ( X0 = X4 )
| ( ( X5 @ X4 )
= $true )
| ( ( sK0 @ X4 @ X0 )
= $true )
| ( ( X5 @ X2 )
!= $true )
| ( ( X3 @ X4 )
!= $true )
| ( $true
= ( X3 @ X0 ) )
| ( X0 = X2 ) ),
inference(subsumption_resolution,[],[f43,f15]) ).
thf(f43,plain,
! [X2: $o > $o,X3: ( $o > $o ) > $o,X0: $o > $o,X1: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
( ( X0 = X4 )
| ( ( sK0 @ X2 @ X0 )
= $true )
| ( ( X5 @ X2 )
!= $true )
| ( ( X3 @ X4 )
!= $true )
| ( X0 = X2 )
| ( $true
= ( X3 @ X0 ) )
| ( $true
= ( X5 @ X1 ) )
| ( ( X5 @ X0 )
= $true )
| ( $true
= ( X3 @ X1 ) )
| ( ( X3 @ X2 )
= $true )
| ( ( sK0 @ X4 @ X0 )
= $true )
| ( ( sK0 @ X4 @ X2 )
= $true )
| ( ( X5 @ X4 )
= $true )
| ( X0 = X1 ) ),
inference(subsumption_resolution,[],[f42,f15]) ).
thf(f42,plain,
! [X2: $o > $o,X3: ( $o > $o ) > $o,X0: $o > $o,X1: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
( ( ( X5 @ X4 )
= $true )
| ( $true
= ( X3 @ X0 ) )
| ( X0 = X1 )
| ( ( sK0 @ X1 @ X0 )
= $true )
| ( ( sK0 @ X4 @ X2 )
= $true )
| ( ( X3 @ X2 )
= $true )
| ( $true
= ( X5 @ X1 ) )
| ( X0 = X2 )
| ( X0 = X4 )
| ( ( X5 @ X2 )
!= $true )
| ( ( X5 @ X0 )
= $true )
| ( ( X3 @ X4 )
!= $true )
| ( ( sK0 @ X2 @ X0 )
= $true )
| ( ( sK0 @ X4 @ X0 )
= $true )
| ( $true
= ( X3 @ X1 ) ) ),
inference(subsumption_resolution,[],[f41,f13]) ).
thf(f41,plain,
! [X2: $o > $o,X3: ( $o > $o ) > $o,X0: $o > $o,X1: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
( ( ( sK0 @ X1 @ X2 )
= $true )
| ( ( sK0 @ X4 @ X2 )
= $true )
| ( X0 = X1 )
| ( $true
= ( X3 @ X1 ) )
| ( ( X5 @ X0 )
= $true )
| ( ( X5 @ X4 )
= $true )
| ( ( X5 @ X2 )
!= $true )
| ( ( X3 @ X4 )
!= $true )
| ( ( sK0 @ X4 @ X0 )
= $true )
| ( ( X3 @ X2 )
= $true )
| ( ( sK0 @ X1 @ X0 )
= $true )
| ( ( sK0 @ X2 @ X0 )
= $true )
| ( X0 = X4 )
| ( X0 = X2 )
| ( $true
= ( X3 @ X0 ) )
| ( $true
= ( X5 @ X1 ) ) ),
inference(subsumption_resolution,[],[f28,f13]) ).
thf(f28,plain,
! [X2: $o > $o,X3: ( $o > $o ) > $o,X0: $o > $o,X1: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
( ( $true
= ( X5 @ X1 ) )
| ( ( sK0 @ X1 @ X4 )
= $true )
| ( ( sK0 @ X4 @ X2 )
= $true )
| ( ( X5 @ X2 )
!= $true )
| ( ( X3 @ X4 )
!= $true )
| ( $true
= ( X3 @ X1 ) )
| ( X0 = X4 )
| ( ( sK0 @ X1 @ X0 )
= $true )
| ( $true
= ( X3 @ X0 ) )
| ( ( sK0 @ X1 @ X2 )
= $true )
| ( X0 = X1 )
| ( X0 = X2 )
| ( ( sK0 @ X2 @ X0 )
= $true )
| ( ( X3 @ X2 )
= $true )
| ( ( sK0 @ X4 @ X0 )
= $true )
| ( ( X5 @ X0 )
= $true )
| ( ( X5 @ X4 )
= $true ) ),
inference(equality_proxy_clausification,[],[f27]) ).
thf(f27,plain,
! [X2: $o > $o,X3: ( $o > $o ) > $o,X0: $o > $o,X1: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
( ( ( sK0 @ X4 @ X0 )
= $true )
| ( ( X3 @ X2 )
= $true )
| ( ( sK0 @ X4 @ X2 )
= $true )
| ( ( sK0 @ X1 @ X4 )
= $true )
| ( $true
= ( X3 @ X0 ) )
| ( ( sK0 @ X2 @ X0 )
= $true )
| ( ( X5 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( sK0 @ X1 @ X0 )
= $true )
| ( ( X3 @ X4 )
!= $true )
| ( ( sK0 @ X1 @ X2 )
= $true )
| ( $true
= ( X3 @ X1 ) )
| ( ( X5 @ X4 )
= $true )
| ( X0 = X2 )
| ( $true
= ( X5 @ X1 ) )
| ( ( X0 = X4 )
= $true )
| ( ( X5 @ X2 )
!= $true ) ),
inference(equality_proxy_clausification,[],[f17]) ).
thf(f17,plain,
! [X2: $o > $o,X3: ( $o > $o ) > $o,X0: $o > $o,X1: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
( ( ( X5 @ X4 )
= $true )
| ( $true
= ( X5 @ X1 ) )
| ( ( X5 @ X0 )
= $true )
| ( ( sK0 @ X1 @ X4 )
= $true )
| ( ( sK0 @ X1 @ X0 )
= $true )
| ( ( sK0 @ X4 @ X0 )
= $true )
| ( ( X0 = X2 )
= $true )
| ( ( X0 = X4 )
= $true )
| ( ( sK0 @ X4 @ X2 )
= $true )
| ( ( sK0 @ X1 @ X2 )
= $true )
| ( $true
= ( X3 @ X0 ) )
| ( ( X3 @ X4 )
!= $true )
| ( X0 = X1 )
| ( $true
= ( X3 @ X1 ) )
| ( ( X5 @ X2 )
!= $true )
| ( ( X3 @ X2 )
= $true )
| ( ( sK0 @ X2 @ X0 )
= $true ) ),
inference(leibniz_equality_elimination,[],[f12]) ).
thf(f12,plain,
! [X10: $o > $o,X11: ( $o > $o ) > $o,X8: $o > $o,X6: $o > $o,X9: ( $o > $o ) > $o,X7: ( $o > $o ) > $o,X12: $o > $o] :
( ( ( X11 @ X6 )
!= $true )
| ( ( X9 @ X6 )
= $true )
| ( $true
= ( X7 @ X8 ) )
| ( $true
= ( sK0 @ X12 @ X6 ) )
| ( ( X11 @ X12 )
= $true )
| ( ( sK0 @ X8 @ X10 )
= $true )
| ( ( X9 @ X8 )
!= $true )
| ( ( sK0 @ X12 @ X10 )
= $true )
| ( ( X7 @ X6 )
= $true )
| ( ( X11 @ X10 )
= $true )
| ( $true
= ( sK0 @ X12 @ X8 ) )
| ( ( X7 @ X10 )
!= $true )
| ( ( sK0 @ X8 @ X6 )
= $true )
| ( ( X9 @ X12 )
= $true )
| ( ( X9 @ X10 )
= $true )
| ( ( sK0 @ X10 @ X6 )
= $true )
| ( ( X7 @ X12 )
= $true )
| ( ( X11 @ X8 )
= $true ) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRA028^1 : TPTP v8.2.0. Released v3.6.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jun 18 15:18:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.12/0.35 Running higher-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.37 % (25243)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 (2999ds/4Mi)
% 0.12/0.37 % (25244)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 (2999ds/27Mi)
% 0.12/0.37 % (25246)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 (2999ds/2Mi)
% 0.12/0.37 % (25245)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.37 % (25245)Instruction limit reached!
% 0.12/0.37 % (25245)------------------------------
% 0.12/0.37 % (25245)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (25245)Termination reason: Unknown
% 0.12/0.37 % (25245)Termination phase: Preprocessing 3
% 0.12/0.37 % (25248)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.37
% 0.12/0.37 % (25245)Memory used [KB]: 1023
% 0.12/0.37 % (25245)Time elapsed: 0.003 s
% 0.12/0.37 % (25245)Instructions burned: 2 (million)
% 0.12/0.37 % (25245)------------------------------
% 0.12/0.37 % (25245)------------------------------
% 0.12/0.37 % (25246)Instruction limit reached!
% 0.12/0.37 % (25246)------------------------------
% 0.12/0.37 % (25246)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (25246)Termination reason: Unknown
% 0.12/0.37 % (25246)Termination phase: Property scanning
% 0.12/0.37
% 0.12/0.37 % (25246)Memory used [KB]: 1023
% 0.12/0.37 % (25246)Time elapsed: 0.004 s
% 0.12/0.37 % (25246)Instructions burned: 3 (million)
% 0.12/0.37 % (25246)------------------------------
% 0.12/0.37 % (25246)------------------------------
% 0.12/0.37 % (25242)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.37 % (25244)Refutation not found, incomplete strategy
% 0.12/0.37 % (25244)------------------------------
% 0.12/0.37 % (25244)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (25244)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % (25244)Memory used [KB]: 5500
% 0.12/0.37 % (25244)Time elapsed: 0.004 s
% 0.12/0.37 % (25244)Instructions burned: 3 (million)
% 0.12/0.37 % (25244)------------------------------
% 0.12/0.37 % (25244)------------------------------
% 0.12/0.37 % (25243)Instruction limit reached!
% 0.12/0.37 % (25243)------------------------------
% 0.12/0.37 % (25243)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (25243)Termination reason: Unknown
% 0.12/0.37 % (25243)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (25243)Memory used [KB]: 5500
% 0.12/0.37 % (25243)Time elapsed: 0.005 s
% 0.12/0.37 % (25243)Instructions burned: 4 (million)
% 0.12/0.37 % (25243)------------------------------
% 0.12/0.37 % (25243)------------------------------
% 0.12/0.38 % (25247)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 (2999ds/275Mi)
% 0.12/0.38 % (25248)Instruction limit reached!
% 0.12/0.38 % (25248)------------------------------
% 0.12/0.38 % (25248)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (25248)Termination reason: Unknown
% 0.12/0.38 % (25248)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (25248)Memory used [KB]: 5500
% 0.12/0.38 % (25248)Time elapsed: 0.013 s
% 0.12/0.38 % (25248)Instructions burned: 19 (million)
% 0.12/0.38 % (25248)------------------------------
% 0.12/0.38 % (25248)------------------------------
% 0.12/0.39 % (25249)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.39 % (25250)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)
% 0.12/0.39 % (25251)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.12/0.39 % (25249)Instruction limit reached!
% 0.12/0.39 % (25249)------------------------------
% 0.12/0.39 % (25249)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (25252)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.39 % (25249)Termination reason: Unknown
% 0.12/0.39 % (25249)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (25249)Memory used [KB]: 5500
% 0.12/0.39 % (25249)Time elapsed: 0.004 s
% 0.12/0.39 % (25249)Instructions burned: 3 (million)
% 0.12/0.39 % (25249)------------------------------
% 0.12/0.39 % (25249)------------------------------
% 0.12/0.39 % (25252)Instruction limit reached!
% 0.12/0.39 % (25252)------------------------------
% 0.12/0.39 % (25252)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (25252)Termination reason: Unknown
% 0.12/0.39 % (25252)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (25252)Memory used [KB]: 5500
% 0.12/0.39 % (25252)Time elapsed: 0.005 s
% 0.12/0.39 % (25252)Instructions burned: 4 (million)
% 0.12/0.39 % (25252)------------------------------
% 0.12/0.39 % (25252)------------------------------
% 0.12/0.40 % (25251)Instruction limit reached!
% 0.12/0.40 % (25251)------------------------------
% 0.12/0.40 % (25251)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (25251)Termination reason: Unknown
% 0.12/0.40 % (25253)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.12/0.40 % (25251)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (25251)Memory used [KB]: 5500
% 0.12/0.40 % (25251)Time elapsed: 0.011 s
% 0.12/0.40 % (25251)Instructions burned: 15 (million)
% 0.12/0.40 % (25251)------------------------------
% 0.12/0.40 % (25251)------------------------------
% 0.20/0.41 % (25254)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.41 % (25255)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.41 % (25250)Instruction limit reached!
% 0.20/0.41 % (25250)------------------------------
% 0.20/0.41 % (25250)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (25250)Termination reason: Unknown
% 0.20/0.41 % (25250)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (25250)Memory used [KB]: 5628
% 0.20/0.41 % (25250)Time elapsed: 0.023 s
% 0.20/0.41 % (25250)Instructions burned: 37 (million)
% 0.20/0.41 % (25250)------------------------------
% 0.20/0.41 % (25250)------------------------------
% 0.20/0.41 % (25254)Instruction limit reached!
% 0.20/0.41 % (25254)------------------------------
% 0.20/0.41 % (25254)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (25254)Termination reason: Unknown
% 0.20/0.41 % (25254)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (25254)Memory used [KB]: 1151
% 0.20/0.41 % (25254)Time elapsed: 0.008 s
% 0.20/0.41 % (25254)Instructions burned: 8 (million)
% 0.20/0.41 % (25254)------------------------------
% 0.20/0.41 % (25254)------------------------------
% 0.20/0.42 % (25256)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.42 % (25256)Instruction limit reached!
% 0.20/0.42 % (25256)------------------------------
% 0.20/0.42 % (25256)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.42 % (25256)Termination reason: Unknown
% 0.20/0.42 % (25256)Termination phase: Twee Goal Transformation
% 0.20/0.42
% 0.20/0.42 % (25256)Memory used [KB]: 1023
% 0.20/0.42 % (25256)Time elapsed: 0.004 s
% 0.20/0.42 % (25256)Instructions burned: 3 (million)
% 0.20/0.42 % (25256)------------------------------
% 0.20/0.42 % (25256)------------------------------
% 0.20/0.42 % (25255)Instruction limit reached!
% 0.20/0.42 % (25255)------------------------------
% 0.20/0.42 % (25255)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.42 % (25255)Termination reason: Unknown
% 0.20/0.42 % (25255)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (25255)Memory used [KB]: 5628
% 0.20/0.42 % (25255)Time elapsed: 0.012 s
% 0.20/0.42 % (25255)Instructions burned: 16 (million)
% 0.20/0.42 % (25255)------------------------------
% 0.20/0.42 % (25255)------------------------------
% 0.20/0.43 % (25257)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.43 % (25257)Instruction limit reached!
% 0.20/0.43 % (25257)------------------------------
% 0.20/0.43 % (25257)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (25257)Termination reason: Unknown
% 0.20/0.43 % (25257)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (25257)Memory used [KB]: 1023
% 0.20/0.43 % (25257)Time elapsed: 0.004 s
% 0.20/0.43 % (25257)Instructions burned: 3 (million)
% 0.20/0.43 % (25257)------------------------------
% 0.20/0.43 % (25257)------------------------------
% 0.20/0.43 % (25258)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.43 % (25259)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.43 % (25258)Instruction limit reached!
% 0.20/0.43 % (25258)------------------------------
% 0.20/0.43 % (25258)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (25258)Termination reason: Unknown
% 0.20/0.43 % (25258)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (25258)Memory used [KB]: 5500
% 0.20/0.43 % (25258)Time elapsed: 0.007 s
% 0.20/0.43 % (25258)Instructions burned: 7 (million)
% 0.20/0.43 % (25258)------------------------------
% 0.20/0.43 % (25258)------------------------------
% 0.20/0.43 % (25259)Instruction limit reached!
% 0.20/0.43 % (25259)------------------------------
% 0.20/0.43 % (25259)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (25259)Termination reason: Unknown
% 0.20/0.43 % (25259)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (25259)Memory used [KB]: 5500
% 0.20/0.43 % (25259)Time elapsed: 0.004 s
% 0.20/0.43 % (25259)Instructions burned: 3 (million)
% 0.20/0.43 % (25259)------------------------------
% 0.20/0.43 % (25259)------------------------------
% 0.20/0.43 % (25260)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.44 % (25260)Instruction limit reached!
% 0.20/0.44 % (25260)------------------------------
% 0.20/0.44 % (25260)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.44 % (25260)Termination reason: Unknown
% 0.20/0.44 % (25260)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (25260)Memory used [KB]: 5500
% 0.20/0.44 % (25260)Time elapsed: 0.005 s
% 0.20/0.44 % (25260)Instructions burned: 4 (million)
% 0.20/0.44 % (25260)------------------------------
% 0.20/0.44 % (25260)------------------------------
% 0.20/0.45 % (25263)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.45 % (25261)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.45 % (25263)Instruction limit reached!
% 0.20/0.45 % (25263)------------------------------
% 0.20/0.45 % (25263)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.45 % (25263)Termination reason: Unknown
% 0.20/0.45 % (25263)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (25263)Memory used [KB]: 5500
% 0.20/0.45 % (25263)Time elapsed: 0.005 s
% 0.20/0.45 % (25263)Instructions burned: 6 (million)
% 0.20/0.45 % (25263)------------------------------
% 0.20/0.45 % (25263)------------------------------
% 0.20/0.45 % (25262)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.45 % (25264)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.20/0.46 % (25261)Instruction limit reached!
% 0.20/0.46 % (25261)------------------------------
% 0.20/0.46 % (25261)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.46 % (25261)Termination reason: Unknown
% 0.20/0.46 % (25261)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (25261)Memory used [KB]: 5500
% 0.20/0.46 % (25261)Time elapsed: 0.012 s
% 0.20/0.46 % (25261)Instructions burned: 20 (million)
% 0.20/0.46 % (25261)------------------------------
% 0.20/0.46 % (25261)------------------------------
% 0.20/0.46 % (25265)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.20/0.47 % (25266)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.20/0.47 % (25247)Instruction limit reached!
% 0.20/0.47 % (25247)------------------------------
% 0.20/0.47 % (25247)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.47 % (25247)Termination reason: Unknown
% 0.20/0.47 % (25247)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (25247)Memory used [KB]: 5756
% 0.20/0.47 % (25247)Time elapsed: 0.092 s
% 0.20/0.47 % (25247)Instructions burned: 277 (million)
% 0.20/0.47 % (25247)------------------------------
% 0.20/0.47 % (25247)------------------------------
% 0.20/0.47 % (25265)Instruction limit reached!
% 0.20/0.47 % (25265)------------------------------
% 0.20/0.47 % (25265)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.47 % (25266)Instruction limit reached!
% 0.20/0.47 % (25266)------------------------------
% 0.20/0.47 % (25266)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.47 % (25265)Termination reason: Unknown
% 0.20/0.47 % (25265)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (25265)Memory used [KB]: 5628
% 0.20/0.47 % (25265)Time elapsed: 0.011 s
% 0.20/0.47 % (25265)Instructions burned: 22 (million)
% 0.20/0.47 % (25265)------------------------------
% 0.20/0.47 % (25265)------------------------------
% 0.20/0.47 % (25266)Termination reason: Unknown
% 0.20/0.47 % (25266)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (25266)Memory used [KB]: 5500
% 0.20/0.47 % (25266)Time elapsed: 0.004 s
% 0.20/0.47 % (25266)Instructions burned: 7 (million)
% 0.20/0.47 % (25266)------------------------------
% 0.20/0.47 % (25266)------------------------------
% 0.20/0.47 % (25242)Instruction limit reached!
% 0.20/0.47 % (25242)------------------------------
% 0.20/0.47 % (25242)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.47 % (25242)Termination reason: Unknown
% 0.20/0.47 % (25242)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (25242)Memory used [KB]: 5756
% 0.20/0.47 % (25242)Time elapsed: 0.101 s
% 0.20/0.47 % (25242)Instructions burned: 184 (million)
% 0.20/0.47 % (25242)------------------------------
% 0.20/0.47 % (25242)------------------------------
% 0.20/0.48 % (25268)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.20/0.48 % (25269)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.20/0.48 % (25267)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.20/0.48 % (25270)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.20/0.48 % (25267)Instruction limit reached!
% 0.20/0.48 % (25267)------------------------------
% 0.20/0.48 % (25267)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.48 % (25267)Termination reason: Unknown
% 0.20/0.48 % (25267)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (25267)Memory used [KB]: 5500
% 0.20/0.48 % (25267)Time elapsed: 0.004 s
% 0.20/0.48 % (25267)Instructions burned: 6 (million)
% 0.20/0.48 % (25267)------------------------------
% 0.20/0.48 % (25267)------------------------------
% 0.20/0.49 % (25270)Instruction limit reached!
% 0.20/0.49 % (25270)------------------------------
% 0.20/0.49 % (25270)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.49 % (25270)Termination reason: Unknown
% 0.20/0.49 % (25270)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (25270)Memory used [KB]: 5628
% 0.20/0.49 % (25270)Time elapsed: 0.009 s
% 0.20/0.49 % (25270)Instructions burned: 19 (million)
% 0.20/0.49 % (25270)------------------------------
% 0.20/0.49 % (25270)------------------------------
% 0.20/0.49 % (25271)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.20/0.50 % (25272)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.51 % (25272)Instruction limit reached!
% 0.20/0.51 % (25272)------------------------------
% 0.20/0.51 % (25272)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.51 % (25272)Termination reason: Unknown
% 0.20/0.51 % (25272)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (25272)Memory used [KB]: 5628
% 0.20/0.51 % (25272)Time elapsed: 0.008 s
% 0.20/0.51 % (25272)Instructions burned: 17 (million)
% 0.20/0.51 % (25272)------------------------------
% 0.20/0.51 % (25272)------------------------------
% 0.20/0.52 % (25273)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.52 % (25273)Instruction limit reached!
% 0.20/0.52 % (25273)------------------------------
% 0.20/0.52 % (25273)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.52 % (25273)Termination reason: Unknown
% 0.20/0.52 % (25273)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (25273)Memory used [KB]: 1023
% 0.20/0.52 % (25273)Time elapsed: 0.003 s
% 0.20/0.52 % (25273)Instructions burned: 3 (million)
% 0.20/0.52 % (25273)------------------------------
% 0.20/0.52 % (25273)------------------------------
% 0.20/0.53 % (25274)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.54 % (25274)Instruction limit reached!
% 0.20/0.54 % (25274)------------------------------
% 0.20/0.54 % (25274)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.54 % (25274)Termination reason: Unknown
% 0.20/0.54 % (25274)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (25274)Memory used [KB]: 5628
% 0.20/0.54 % (25274)Time elapsed: 0.011 s
% 0.20/0.54 % (25274)Instructions burned: 31 (million)
% 0.20/0.54 % (25274)------------------------------
% 0.20/0.54 % (25274)------------------------------
% 0.20/0.55 % (25276)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.20/0.59 % (25271)First to succeed.
% 0.20/0.59 % (25271)Refutation found. Thanks to Tanya!
% 0.20/0.59 % SZS status Theorem for theBenchmark
% 0.20/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59 % (25271)------------------------------
% 0.20/0.59 % (25271)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.59 % (25271)Termination reason: Refutation
% 0.20/0.59
% 0.20/0.59 % (25271)Memory used [KB]: 6012
% 0.20/0.59 % (25271)Time elapsed: 0.098 s
% 0.20/0.59 % (25271)Instructions burned: 280 (million)
% 0.20/0.59 % (25271)------------------------------
% 0.20/0.59 % (25271)------------------------------
% 0.20/0.59 % (25241)Success in time 0.233 s
%------------------------------------------------------------------------------