TSTP Solution File: SEV082^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV082^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n005.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 09:41:17 EDT 2024
% Result : Theorem 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 54 ( 2 unt; 5 typ; 0 def)
% Number of atoms : 484 ( 198 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 416 ( 61 ~; 65 |; 33 &; 246 @)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 258 ( 258 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 262 ( 200 ^ 38 !; 23 ?; 262 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_4,type,
sK0: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_5,type,
sK1: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_6,type,
sK2: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_7,type,
sK3: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_9,type,
ph5:
!>[X0: $tType] : X0 ).
thf(f128,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f81,f127]) ).
thf(f127,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_contradiction_clause,[],[f126]) ).
thf(f126,plain,
( $false
| ~ spl4_1
| spl4_2 ),
inference(subsumption_resolution,[],[f125,f49]) ).
thf(f49,plain,
( ( ( ^ [Y0: $i] : $true )
!= ( ^ [Y0: $i] : $false ) )
| spl4_2 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f48,plain,
( spl4_2
<=> ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
thf(f125,plain,
( ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) )
| ~ spl4_1
| spl4_2 ),
inference(subsumption_resolution,[],[f124,f108]) ).
thf(f108,plain,
( ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| spl4_2 ),
inference(subsumption_resolution,[],[f96,f49]) ).
thf(f96,plain,
( ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(equality_proxy_clausification,[],[f95]) ).
thf(f95,plain,
( ( ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(equality_proxy_clausification,[],[f94]) ).
thf(f94,plain,
( ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ( ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f93]) ).
thf(f93,plain,
( ( $true != $true )
| ( ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true ) ),
inference(boolean_simplification,[],[f92]) ).
thf(f92,plain,
( ( ( ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true ) ),
inference(beta_eta_normalization,[],[f83]) ).
thf(f83,plain,
( ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(primitive_instantiation,[],[f17]) ).
thf(f17,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( X0 @ ( sK3 @ X0 ) @ ( sK3 @ X0 ) )
!= $true )
| ( $true
= ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) )
| ( ( X0 @ ( sK1 @ X0 ) @ ( sK0 @ X0 ) )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
= ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) )
| ( ( ( X0 @ ( sK1 @ X0 ) @ ( sK0 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK2 @ X0 ) @ ( sK0 @ X0 ) )
= $true )
& ( $true
= ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) ) )
| ( ( X0 @ ( sK3 @ X0 ) @ ( sK3 @ X0 ) )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f11,f13,f12]) ).
thf(f12,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X1: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( ( X0 @ X2 @ X1 )
!= $true )
& ( $true
= ( X0 @ X3 @ X1 ) )
& ( ( X0 @ X2 @ X3 )
= $true ) )
=> ( ( ( X0 @ ( sK1 @ X0 ) @ ( sK0 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK2 @ X0 ) @ ( sK0 @ X0 ) )
= $true )
& ( $true
= ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X4: $i > $o] :
( $true
!= ( X0 @ X4 @ X4 ) )
=> ( ( X0 @ ( sK3 @ X0 ) @ ( sK3 @ X0 ) )
!= $true ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
= ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) )
| ? [X1: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( ( X0 @ X2 @ X1 )
!= $true )
& ( $true
= ( X0 @ X3 @ X1 ) )
& ( ( X0 @ X2 @ X3 )
= $true ) )
| ? [X4: $i > $o] :
( $true
!= ( X0 @ X4 @ X4 ) ) ),
inference(rectify,[],[f10]) ).
thf(f10,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
= ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) )
| ? [X2: $i > $o,X4: $i > $o,X3: $i > $o] :
( ( ( X0 @ X4 @ X2 )
!= $true )
& ( ( X0 @ X3 @ X2 )
= $true )
& ( ( X0 @ X4 @ X3 )
= $true ) )
| ? [X1: $i > $o] :
( ( X0 @ X1 @ X1 )
!= $true ) ),
inference(flattening,[],[f9]) ).
thf(f9,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X1: $i > $o] :
( ( X0 @ X1 @ X1 )
!= $true )
| ( $true
= ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) )
| ? [X3: $i > $o,X4: $i > $o,X2: $i > $o] :
( ( ( X0 @ X4 @ X2 )
!= $true )
& ( ( X0 @ X4 @ X3 )
= $true )
& ( ( X0 @ X3 @ X2 )
= $true ) ) ),
inference(ennf_transformation,[],[f8]) ).
thf(f8,plain,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] :
( ( X0 @ X1 @ X1 )
= $true )
& ( $true
!= ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) )
& ! [X3: $i > $o,X4: $i > $o,X2: $i > $o] :
( ( ( ( X0 @ X4 @ X3 )
= $true )
& ( ( X0 @ X3 @ X2 )
= $true ) )
=> ( ( X0 @ X4 @ X2 )
= $true ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] :
( ( X0 @ X1 @ X1 )
= $true )
& ( $true
!= ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) )
& ! [X3: $i > $o,X4: $i > $o,X2: $i > $o] :
( ( ( ( X0 @ X4 @ X3 )
= $true )
& ( ( X0 @ X3 @ X2 )
= $true ) )
=> ( ( X0 @ X4 @ X2 )
= $true ) ) ),
inference(true_and_false_elimination,[],[f6]) ).
thf(f6,plain,
~ ( ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] :
( ( X0 @ X1 @ X1 )
= $true )
& ( $true
!= ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) )
& ! [X3: $i > $o,X4: $i > $o,X2: $i > $o] :
( ( ( ( X0 @ X4 @ X3 )
= $true )
& ( ( X0 @ X3 @ X2 )
= $true ) )
=> ( ( X0 @ X4 @ X2 )
= $true ) ) )
| $false ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
~ ( ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] :
( ( X0 @ X1 @ X1 )
= $true )
& ( $true
!= ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) )
& ! [X4: $i > $o,X5: $i > $o,X6: $i > $o] :
( ( ( $true
= ( X0 @ X5 @ X4 ) )
& ( $true
= ( X0 @ X6 @ X5 ) ) )
=> ( ( X0 @ X6 @ X4 )
= $true ) ) )
| $false ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] : ( X0 @ X1 @ X1 )
& ~ ( X0
@ ^ [X2: $i] : $true
@ ^ [X3: $i] : $false )
& ! [X4: $i > $o,X5: $i > $o,X6: $i > $o] :
( ( ( X0 @ X5 @ X4 )
& ( X0 @ X6 @ X5 ) )
=> ( X0 @ X6 @ X4 ) ) )
| $false ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] : ( X0 @ X1 @ X1 )
& ~ ( X0
@ ^ [X1: $i] : $true
@ ^ [X1: $i] : $false )
& ! [X3: $i > $o,X2: $i > $o,X1: $i > $o] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X1 @ X3 ) ) )
| $false ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] : ( X0 @ X1 @ X1 )
& ~ ( X0
@ ^ [X1: $i] : $true
@ ^ [X1: $i] : $false )
& ! [X3: $i > $o,X2: $i > $o,X1: $i > $o] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X1 @ X3 ) ) )
| $false ),
file('/export/starexec/sandbox2/tmp/tmp.RIaIOq4EQb/Vampire---4.8_24959',cTHM120_4_pme) ).
thf(f124,plain,
( ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) )
| ~ spl4_1 ),
inference(equality_proxy_clausification,[],[f123]) ).
thf(f123,plain,
( ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| ~ spl4_1 ),
inference(equality_proxy_clausification,[],[f122]) ).
thf(f122,plain,
( ( ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ~ spl4_1 ),
inference(trivial_inequality_removal,[],[f121]) ).
thf(f121,plain,
( ( ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( $true != $true )
| ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ~ spl4_1 ),
inference(boolean_simplification,[],[f120]) ).
thf(f120,plain,
( ( ( ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ~ spl4_1 ),
inference(beta_eta_normalization,[],[f113]) ).
thf(f113,plain,
( ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ~ spl4_1 ),
inference(superposition,[],[f16,f46]) ).
thf(f46,plain,
( ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f44]) ).
thf(f44,plain,
( spl4_1
<=> ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
thf(f16,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( X0 @ ( sK2 @ X0 ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) )
| ( ( X0 @ ( sK3 @ X0 ) @ ( sK3 @ X0 ) )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f81,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f80]) ).
thf(f80,plain,
( $false
| ~ spl4_2 ),
inference(trivial_inequality_removal,[],[f79]) ).
thf(f79,plain,
( ( $false = $true )
| ~ spl4_2 ),
inference(beta_eta_normalization,[],[f78]) ).
thf(f78,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] : $true
@ X1 )
= ( ^ [Y0: $i] : $false
@ X1 ) )
| ~ spl4_2 ),
inference(argument_congruence,[],[f50]) ).
thf(f50,plain,
( ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f51,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f31,f48,f44]) ).
thf(f31,plain,
( ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) )
| ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f30]) ).
thf(f30,plain,
( ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f29]) ).
thf(f29,plain,
( ( $true
= ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) )
| ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f28]) ).
thf(f28,plain,
( ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ( $true != $true )
| ( $true
= ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f27]) ).
thf(f27,plain,
( ( $true
= ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) )
| ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ( ( ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f18]) ).
thf(f18,plain,
( ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(primitive_instantiation,[],[f15]) ).
thf(f15,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
= ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) )
| ( ( X0 @ ( sK3 @ X0 ) @ ( sK3 @ X0 ) )
!= $true )
| ( $true
= ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) ) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV082^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n005.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 11:56:26 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.16/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.RIaIOq4EQb/Vampire---4.8_24959
% 0.22/0.39 % (25175)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.39 % (25170)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 (2999ds/4Mi)
% 0.22/0.39 % (25174)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 (2999ds/275Mi)
% 0.22/0.39 % (25170)Instruction limit reached!
% 0.22/0.39 % (25170)------------------------------
% 0.22/0.39 % (25170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (25170)Termination reason: Unknown
% 0.22/0.39 % (25170)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (25170)Memory used [KB]: 5500
% 0.22/0.39 % (25170)Time elapsed: 0.004 s
% 0.22/0.39 % (25170)Instructions burned: 4 (million)
% 0.22/0.39 % (25169)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.22/0.39 % (25170)------------------------------
% 0.22/0.39 % (25170)------------------------------
% 0.22/0.39 % (25172)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.39 % (25173)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 (2999ds/2Mi)
% 0.22/0.39 % (25176)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 (2999ds/3Mi)
% 0.22/0.39 % (25171)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 (2999ds/27Mi)
% 0.22/0.39 % (25172)Instruction limit reached!
% 0.22/0.39 % (25172)------------------------------
% 0.22/0.39 % (25172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (25172)Termination reason: Unknown
% 0.22/0.39 % (25172)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (25172)Memory used [KB]: 5373
% 0.22/0.40 % (25173)Instruction limit reached!
% 0.22/0.40 % (25173)------------------------------
% 0.22/0.40 % (25173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (25172)Time elapsed: 0.003 s
% 0.22/0.40 % (25172)Instructions burned: 2 (million)
% 0.22/0.40 % (25172)------------------------------
% 0.22/0.40 % (25172)------------------------------
% 0.22/0.40 % (25173)Termination reason: Unknown
% 0.22/0.40 % (25173)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (25173)Memory used [KB]: 895
% 0.22/0.40 % (25173)Time elapsed: 0.003 s
% 0.22/0.40 % (25173)Instructions burned: 2 (million)
% 0.22/0.40 % (25173)------------------------------
% 0.22/0.40 % (25173)------------------------------
% 0.22/0.40 % (25175)Instruction limit reached!
% 0.22/0.40 % (25175)------------------------------
% 0.22/0.40 % (25175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (25175)Termination reason: Unknown
% 0.22/0.40 % (25175)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (25171)Refutation not found, incomplete strategy
% 0.22/0.40 % (25171)------------------------------
% 0.22/0.40 % (25171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (25175)Memory used [KB]: 5628
% 0.22/0.40 % (25175)Time elapsed: 0.011 s
% 0.22/0.40 % (25175)Instructions burned: 18 (million)
% 0.22/0.40 % (25175)------------------------------
% 0.22/0.40 % (25175)------------------------------
% 0.22/0.40 % (25171)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40 % (25176)Instruction limit reached!
% 0.22/0.40 % (25176)------------------------------
% 0.22/0.40 % (25176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (25176)Termination reason: Unknown
% 0.22/0.40 % (25176)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (25176)Memory used [KB]: 5500
% 0.22/0.40 % (25176)Time elapsed: 0.004 s
% 0.22/0.40 % (25176)Instructions burned: 4 (million)
% 0.22/0.40 % (25176)------------------------------
% 0.22/0.40 % (25176)------------------------------
% 0.22/0.40 % (25171)Memory used [KB]: 5500
% 0.22/0.40 % (25171)Time elapsed: 0.004 s
% 0.22/0.40 % (25171)Instructions burned: 2 (million)
% 0.22/0.40 % (25171)------------------------------
% 0.22/0.40 % (25171)------------------------------
% 0.22/0.40 % (25174)First to succeed.
% 0.22/0.40 % (25174)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Theorem for Vampire---4
% 0.22/0.40 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.40 % (25174)------------------------------
% 0.22/0.40 % (25174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (25174)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (25174)Memory used [KB]: 5500
% 0.22/0.40 % (25174)Time elapsed: 0.011 s
% 0.22/0.40 % (25174)Instructions burned: 11 (million)
% 0.22/0.40 % (25174)------------------------------
% 0.22/0.40 % (25174)------------------------------
% 0.22/0.40 % (25168)Success in time 0.019 s
% 0.22/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------