TSTP Solution File: ALG271^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG271^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 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 : n012.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 04:13:44 EDT 2024
% Result : Theorem 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 32
% Syntax : Number of formulae : 170 ( 42 unt; 18 typ; 0 def)
% Number of atoms : 1005 ( 409 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 2253 ( 140 ~; 122 |; 164 &;1532 @)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 155 ( 155 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 22 usr; 15 con; 0-2 aty)
% ( 229 !!; 57 ??; 0 @@+; 0 @@-)
% Number of variables : 454 ( 383 ^ 66 !; 4 ?; 454 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
g: $tType ).
thf(func_def_0,type,
g: $tType ).
thf(func_def_1,type,
cGROUP1: ( g > g > g ) > g > $o ).
thf(func_def_2,type,
cGROUP3: ( g > g > g ) > g > $o ).
thf(func_def_3,type,
cGRP_ASSOC: ( g > g > g ) > $o ).
thf(func_def_4,type,
cGRP_INVERSE: ( g > g > g ) > g > $o ).
thf(func_def_5,type,
cGRP_RIGHT_INVERSE: ( g > g > g ) > g > $o ).
thf(func_def_6,type,
cGRP_RIGHT_UNIT: ( g > g > g ) > g > $o ).
thf(func_def_7,type,
cGRP_UNIT: ( g > g > g ) > g > $o ).
thf(func_def_23,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_24,type,
sK2: g ).
thf(func_def_25,type,
sK3: g > g > g ).
thf(func_def_26,type,
sK4: g > g ).
thf(func_def_27,type,
sK5: g ).
thf(func_def_28,type,
sK6: g ).
thf(func_def_29,type,
sK7: g > g ).
thf(func_def_30,type,
sK8: g ).
thf(func_def_31,type,
sK9: g ).
thf(f470,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f148,f156,f234,f320,f436,f469]) ).
thf(f469,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f468]) ).
thf(f468,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f467]) ).
thf(f467,plain,
( ( $false = $true )
| ~ spl0_4
| ~ spl0_7 ),
inference(boolean_simplification,[],[f466]) ).
thf(f466,plain,
( ( $false
= ( sK9 = sK9 ) )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f465,f438]) ).
thf(f438,plain,
( ! [X0: g] :
( ( sK3 @ sK2 @ X0 )
= X0 )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f437,f263]) ).
thf(f263,plain,
( ! [X1: g] :
( ( sK3 @ X1 @ sK2 )
= X1 )
| ~ spl0_4 ),
inference(equality_proxy_clausification,[],[f260]) ).
thf(f260,plain,
( ! [X1: g] :
( $true
= ( ( sK3 @ X1 @ sK2 )
= X1 ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f259]) ).
thf(f259,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 )
@ X1 )
= $true )
| ~ spl0_4 ),
inference(pi_clausification,[],[f253]) ).
thf(f253,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) )
= $true )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f252]) ).
thf(f252,plain,
( ( $false
!= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f248]) ).
thf(f248,plain,
( ( $false
!= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) )
& $true ) )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f244,f245]) ).
thf(f245,plain,
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f244]) ).
thf(f244,plain,
( ( $false
!= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f46,f61]) ).
thf(f61,plain,
( ( $false
= ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f60]) ).
thf(f60,plain,
( spl0_4
<=> ( $false
= ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f46,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) )
!= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f45]) ).
thf(f45,plain,
( $false
= ( ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) )
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f44]) ).
thf(f44,plain,
( $false
= ( ^ [Y0: g > g > g] :
( ( ( !! @ g
@ ^ [Y1: g] :
( ( ( Y0 @ Y1 @ sK2 )
= Y1 )
& ( ( Y0 @ sK2 @ Y1 )
= Y1 ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ ( Y0 @ Y1 @ Y2 ) )
= ( Y0 @ ( Y0 @ Y3 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( Y0 @ Y1 @ Y2 )
= sK2 )
& ( ( Y0 @ Y2 @ Y1 )
= sK2 ) ) ) ) )
= ( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( Y0 @ Y1 @ Y2 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( Y0 @ Y1 @ sK2 )
= Y1 ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ ( Y0 @ Y1 @ Y2 ) )
= ( Y0 @ ( Y0 @ Y3 @ Y1 ) @ Y2 ) ) ) ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f43]) ).
thf(f43,plain,
( $false
= ( !! @ ( g > g > g )
@ ^ [Y0: g > g > g] :
( ( ( !! @ g
@ ^ [Y1: g] :
( ( ( Y0 @ Y1 @ sK2 )
= Y1 )
& ( ( Y0 @ sK2 @ Y1 )
= Y1 ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ ( Y0 @ Y1 @ Y2 ) )
= ( Y0 @ ( Y0 @ Y3 @ Y1 ) @ Y2 ) ) ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( ( Y0 @ Y1 @ Y2 )
= sK2 )
& ( ( Y0 @ Y2 @ Y1 )
= sK2 ) ) ) ) )
= ( ( !! @ g
@ ^ [Y1: g] :
( ?? @ g
@ ^ [Y2: g] :
( ( Y0 @ Y1 @ Y2 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y1: g] :
( ( Y0 @ Y1 @ sK2 )
= Y1 ) )
& ( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ ( Y0 @ Y1 @ Y2 ) )
= ( Y0 @ ( Y0 @ Y3 @ Y1 ) @ Y2 ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f42]) ).
thf(f42,plain,
( $false
= ( ^ [Y0: g] :
( !! @ ( g > g > g )
@ ^ [Y1: g > g > g] :
( ( ( !! @ g
@ ^ [Y2: g] :
( ( ( Y1 @ Y2 @ Y0 )
= Y2 )
& ( ( Y1 @ Y0 @ Y2 )
= Y2 ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ Y4 @ ( Y1 @ Y2 @ Y3 ) )
= ( Y1 @ ( Y1 @ Y4 @ Y2 ) @ Y3 ) ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( ( Y1 @ Y2 @ Y3 )
= Y0 )
& ( ( Y1 @ Y3 @ Y2 )
= Y0 ) ) ) ) )
= ( ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y1 @ Y2 @ Y3 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ( Y1 @ Y2 @ Y0 )
= Y2 ) )
& ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ Y4 @ ( Y1 @ Y2 @ Y3 ) )
= ( Y1 @ ( Y1 @ Y4 @ Y2 ) @ Y3 ) ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f39]) ).
thf(f39,plain,
( $false
= ( !! @ g
@ ^ [Y0: g] :
( !! @ ( g > g > g )
@ ^ [Y1: g > g > g] :
( ( ( !! @ g
@ ^ [Y2: g] :
( ( ( Y1 @ Y2 @ Y0 )
= Y2 )
& ( ( Y1 @ Y0 @ Y2 )
= Y2 ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ Y4 @ ( Y1 @ Y2 @ Y3 ) )
= ( Y1 @ ( Y1 @ Y4 @ Y2 ) @ Y3 ) ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( ( Y1 @ Y2 @ Y3 )
= Y0 )
& ( ( Y1 @ Y3 @ Y2 )
= Y0 ) ) ) ) )
= ( ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y1 @ Y2 @ Y3 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ( Y1 @ Y2 @ Y0 )
= Y2 ) )
& ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ Y4 @ ( Y1 @ Y2 @ Y3 ) )
= ( Y1 @ ( Y1 @ Y4 @ Y2 ) @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f38]) ).
thf(f38,plain,
( $true
= ( ~ ( !! @ g
@ ^ [Y0: g] :
( !! @ ( g > g > g )
@ ^ [Y1: g > g > g] :
( ( ( !! @ g
@ ^ [Y2: g] :
( ( ( Y1 @ Y2 @ Y0 )
= Y2 )
& ( ( Y1 @ Y0 @ Y2 )
= Y2 ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ Y4 @ ( Y1 @ Y2 @ Y3 ) )
= ( Y1 @ ( Y1 @ Y4 @ Y2 ) @ Y3 ) ) ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( ( Y1 @ Y2 @ Y3 )
= Y0 )
& ( ( Y1 @ Y3 @ Y2 )
= Y0 ) ) ) ) )
= ( ( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y1 @ Y2 @ Y3 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y2: g] :
( ( Y1 @ Y2 @ Y0 )
= Y2 ) )
& ( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y1 @ Y4 @ ( Y1 @ Y2 @ Y3 ) )
= ( Y1 @ ( Y1 @ Y4 @ Y2 ) @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f37]) ).
thf(f37,plain,
( $true
= ( ~ ( !! @ g
@ ^ [Y0: g] :
( !! @ ( g > g > g )
@ ^ [Y1: g > g > g] :
( ( ^ [Y2: g > g > g,Y3: g] :
( ( ^ [Y4: g > g > g,Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( ( ( Y4 @ Y6 @ Y5 )
= Y6 )
& ( ( Y4 @ Y5 @ Y6 )
= Y6 ) ) )
@ Y2
@ Y3 )
& ( ^ [Y4: g > g > g] :
( !! @ g
@ ^ [Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( !! @ g
@ ^ [Y7: g] :
( ( Y4 @ Y7 @ ( Y4 @ Y5 @ Y6 ) )
= ( Y4 @ ( Y4 @ Y7 @ Y5 ) @ Y6 ) ) ) ) )
@ Y2 )
& ( ^ [Y4: g > g > g,Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( ?? @ g
@ ^ [Y7: g] :
( ( ( Y4 @ Y6 @ Y7 )
= Y5 )
& ( ( Y4 @ Y7 @ Y6 )
= Y5 ) ) ) )
@ Y2
@ Y3 ) )
@ Y1
@ Y0 )
= ( ^ [Y2: g > g > g,Y3: g] :
( ( ^ [Y4: g > g > g,Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( ?? @ g
@ ^ [Y7: g] :
( ( Y4 @ Y6 @ Y7 )
= Y5 ) ) )
@ Y2
@ Y3 )
& ( ^ [Y4: g > g > g,Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( ( Y4 @ Y6 @ Y5 )
= Y6 ) )
@ Y2
@ Y3 )
& ( ^ [Y4: g > g > g] :
( !! @ g
@ ^ [Y5: g] :
( !! @ g
@ ^ [Y6: g] :
( !! @ g
@ ^ [Y7: g] :
( ( Y4 @ Y7 @ ( Y4 @ Y5 @ Y6 ) )
= ( Y4 @ ( Y4 @ Y7 @ Y5 ) @ Y6 ) ) ) ) )
@ Y2 ) )
@ Y1
@ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f33,f35,f36]) ).
thf(f36,plain,
( cGROUP3
= ( ^ [Y0: g > g > g,Y1: g] :
( ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ?? @ g
@ ^ [Y5: g] :
( ( Y2 @ Y4 @ Y5 )
= Y3 ) ) )
@ Y0
@ Y1 )
& ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( Y2 @ Y4 @ Y3 )
= Y4 ) )
@ Y0
@ Y1 )
& ( ^ [Y2: g > g > g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( !! @ g
@ ^ [Y5: g] :
( ( Y2 @ Y5 @ ( Y2 @ Y3 @ Y4 ) )
= ( Y2 @ ( Y2 @ Y5 @ Y3 ) @ Y4 ) ) ) ) )
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f29,f32,f31,f28]) ).
thf(f28,plain,
( cGRP_ASSOC
= ( ^ [Y0: g > g > g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ ( Y0 @ Y1 @ Y2 ) )
= ( Y0 @ ( Y0 @ Y3 @ Y1 ) @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f22,plain,
( cGRP_ASSOC
= ( ^ [Y0: g > g > g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( !! @ g
@ ^ [Y3: g] :
( ( Y0 @ Y3 @ ( Y0 @ Y1 @ Y2 ) )
= ( Y0 @ ( Y0 @ Y3 @ Y1 ) @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f21]) ).
thf(f21,plain,
( cGRP_ASSOC
= ( ^ [X0: g > g > g] :
! [X1: g,X2: g,X3: g] :
( ( X0 @ X1 @ ( X0 @ X3 @ X2 ) )
= ( X0 @ ( X0 @ X1 @ X3 ) @ X2 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( cGRP_ASSOC
= ( ^ [X0: g > g > g] :
! [X1: g,X3: g,X2: g] :
( ( X0 @ ( X0 @ X1 @ X2 ) @ X3 )
= ( X0 @ X1 @ ( X0 @ X2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8TXj8Nr8nh/Vampire---4.8_31554',cGRP_ASSOC_def) ).
thf(f31,plain,
( cGRP_RIGHT_UNIT
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( Y0 @ Y2 @ Y1 )
= Y2 ) ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f24,plain,
( cGRP_RIGHT_UNIT
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( Y0 @ Y2 @ Y1 )
= Y2 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f23,plain,
( ( ^ [X0: g > g > g,X1: g] :
! [X2: g] :
( ( X0 @ X2 @ X1 )
= X2 ) )
= cGRP_RIGHT_UNIT ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
( ( ^ [X0: g > g > g,X4: g] :
! [X1: g] :
( ( X0 @ X1 @ X4 )
= X1 ) )
= cGRP_RIGHT_UNIT ),
file('/export/starexec/sandbox2/tmp/tmp.8TXj8Nr8nh/Vampire---4.8_31554',cGRP_RIGHT_UNIT_def) ).
thf(f32,plain,
( cGRP_RIGHT_INVERSE
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y2 @ Y3 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f26,plain,
( cGRP_RIGHT_INVERSE
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( Y0 @ Y2 @ Y3 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f25]) ).
thf(f25,plain,
( ( ^ [X0: g > g > g,X1: g] :
! [X2: g] :
? [X3: g] :
( ( X0 @ X2 @ X3 )
= X1 ) )
= cGRP_RIGHT_INVERSE ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
( ( ^ [X0: g > g > g,X4: g] :
! [X1: g] :
? [X2: g] :
( ( X0 @ X1 @ X2 )
= X4 ) )
= cGRP_RIGHT_INVERSE ),
file('/export/starexec/sandbox2/tmp/tmp.8TXj8Nr8nh/Vampire---4.8_31554',cGRP_RIGHT_INVERSE_def) ).
thf(f29,plain,
( cGROUP3
= ( ^ [Y0: g > g > g,Y1: g] :
( ( cGRP_RIGHT_INVERSE @ Y0 @ Y1 )
& ( cGRP_RIGHT_UNIT @ Y0 @ Y1 )
& ( cGRP_ASSOC @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f20,plain,
( cGROUP3
= ( ^ [Y0: g > g > g,Y1: g] :
( ( cGRP_RIGHT_INVERSE @ Y0 @ Y1 )
& ( cGRP_RIGHT_UNIT @ Y0 @ Y1 )
& ( cGRP_ASSOC @ Y0 ) ) ) ),
inference(fool_elimination,[],[f19]) ).
thf(f19,plain,
( cGROUP3
= ( ^ [X0: g > g > g,X1: g] :
( ( cGRP_ASSOC @ X0 )
& ( cGRP_RIGHT_UNIT @ X0 @ X1 )
& ( cGRP_RIGHT_INVERSE @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
( cGROUP3
= ( ^ [X0: g > g > g,X4: g] :
( ( cGRP_ASSOC @ X0 )
& ( cGRP_RIGHT_UNIT @ X0 @ X4 )
& ( cGRP_RIGHT_INVERSE @ X0 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8TXj8Nr8nh/Vampire---4.8_31554',cGROUP3_def) ).
thf(f35,plain,
( cGROUP1
= ( ^ [Y0: g > g > g,Y1: g] :
( ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ( ( Y2 @ Y4 @ Y3 )
= Y4 )
& ( ( Y2 @ Y3 @ Y4 )
= Y4 ) ) )
@ Y0
@ Y1 )
& ( ^ [Y2: g > g > g] :
( !! @ g
@ ^ [Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( !! @ g
@ ^ [Y5: g] :
( ( Y2 @ Y5 @ ( Y2 @ Y3 @ Y4 ) )
= ( Y2 @ ( Y2 @ Y5 @ Y3 ) @ Y4 ) ) ) ) )
@ Y0 )
& ( ^ [Y2: g > g > g,Y3: g] :
( !! @ g
@ ^ [Y4: g] :
( ?? @ g
@ ^ [Y5: g] :
( ( ( Y2 @ Y4 @ Y5 )
= Y3 )
& ( ( Y2 @ Y5 @ Y4 )
= Y3 ) ) ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f27,f30,f28,f34]) ).
thf(f34,plain,
( cGRP_INVERSE
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( ( Y0 @ Y2 @ Y3 )
= Y1 )
& ( ( Y0 @ Y3 @ Y2 )
= Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( cGRP_INVERSE
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ?? @ g
@ ^ [Y3: g] :
( ( ( Y0 @ Y2 @ Y3 )
= Y1 )
& ( ( Y0 @ Y3 @ Y2 )
= Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
( ( ^ [X0: g > g > g,X1: g] :
! [X2: g] :
? [X3: g] :
( ( ( X0 @ X3 @ X2 )
= X1 )
& ( ( X0 @ X2 @ X3 )
= X1 ) ) )
= cGRP_INVERSE ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
( ( ^ [X0: g > g > g,X4: g] :
! [X1: g] :
? [X2: g] :
( ( ( X0 @ X2 @ X1 )
= X4 )
& ( ( X0 @ X1 @ X2 )
= X4 ) ) )
= cGRP_INVERSE ),
file('/export/starexec/sandbox2/tmp/tmp.8TXj8Nr8nh/Vampire---4.8_31554',cGRP_INVERSE_def) ).
thf(f30,plain,
( cGRP_UNIT
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( ( Y0 @ Y2 @ Y1 )
= Y2 )
& ( ( Y0 @ Y1 @ Y2 )
= Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
( cGRP_UNIT
= ( ^ [Y0: g > g > g,Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( ( Y0 @ Y2 @ Y1 )
= Y2 )
& ( ( Y0 @ Y1 @ Y2 )
= Y2 ) ) ) ) ),
inference(fool_elimination,[],[f13]) ).
thf(f13,plain,
( ( ^ [X0: g > g > g,X1: g] :
! [X2: g] :
( ( ( X0 @ X1 @ X2 )
= X2 )
& ( ( X0 @ X2 @ X1 )
= X2 ) ) )
= cGRP_UNIT ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
( ( ^ [X0: g > g > g,X4: g] :
! [X1: g] :
( ( ( X0 @ X4 @ X1 )
= X1 )
& ( ( X0 @ X1 @ X4 )
= X1 ) ) )
= cGRP_UNIT ),
file('/export/starexec/sandbox2/tmp/tmp.8TXj8Nr8nh/Vampire---4.8_31554',cGRP_UNIT_def) ).
thf(f27,plain,
( cGROUP1
= ( ^ [Y0: g > g > g,Y1: g] :
( ( cGRP_UNIT @ Y0 @ Y1 )
& ( cGRP_ASSOC @ Y0 )
& ( cGRP_INVERSE @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
( cGROUP1
= ( ^ [Y0: g > g > g,Y1: g] :
( ( cGRP_UNIT @ Y0 @ Y1 )
& ( cGRP_ASSOC @ Y0 )
& ( cGRP_INVERSE @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f17,plain,
( cGROUP1
= ( ^ [X0: g > g > g,X1: g] :
( ( cGRP_INVERSE @ X0 @ X1 )
& ( cGRP_ASSOC @ X0 )
& ( cGRP_UNIT @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f6,axiom,
( cGROUP1
= ( ^ [X0: g > g > g,X4: g] :
( ( cGRP_INVERSE @ X0 @ X4 )
& ( cGRP_ASSOC @ X0 )
& ( cGRP_UNIT @ X0 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8TXj8Nr8nh/Vampire---4.8_31554',cGROUP1_def) ).
thf(f33,plain,
( ( ~ ( !! @ g
@ ^ [Y0: g] :
( !! @ ( g > g > g )
@ ^ [Y1: g > g > g] :
( ( cGROUP1 @ Y1 @ Y0 )
= ( cGROUP3 @ Y1 @ Y0 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
( ( ~ ( !! @ g
@ ^ [Y0: g] :
( !! @ ( g > g > g )
@ ^ [Y1: g > g > g] :
( ( cGROUP1 @ Y1 @ Y0 )
= ( cGROUP3 @ Y1 @ Y0 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f15]) ).
thf(f15,plain,
~ ! [X0: g > g > g,X1: g] :
( ( cGROUP1 @ X0 @ X1 )
<=> ( cGROUP3 @ X0 @ X1 ) ),
inference(rectify,[],[f9]) ).
thf(f9,negated_conjecture,
~ ! [X0: g > g > g,X4: g] :
( ( cGROUP1 @ X0 @ X4 )
<=> ( cGROUP3 @ X0 @ X4 ) ),
inference(negated_conjecture,[],[f8]) ).
thf(f8,conjecture,
! [X0: g > g > g,X4: g] :
( ( cGROUP1 @ X0 @ X4 )
<=> ( cGROUP3 @ X0 @ X4 ) ),
file('/export/starexec/sandbox2/tmp/tmp.8TXj8Nr8nh/Vampire---4.8_31554',cEQUIV_01_03) ).
thf(f437,plain,
( ! [X0: g] :
( ( sK3 @ sK2 @ X0 )
= ( sK3 @ X0 @ sK2 ) )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f420,f355]) ).
thf(f355,plain,
( ! [X0: g] :
( ( sK3 @ sK2 @ ( sK7 @ ( sK7 @ X0 ) ) )
= X0 )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f342,f263]) ).
thf(f342,plain,
( ! [X0: g] :
( ( sK3 @ X0 @ sK2 )
= ( sK3 @ sK2 @ ( sK7 @ ( sK7 @ X0 ) ) ) )
| ~ spl0_4 ),
inference(superposition,[],[f299,f268]) ).
thf(f268,plain,
( ! [X1: g] :
( sK2
= ( sK3 @ X1 @ ( sK7 @ X1 ) ) )
| ~ spl0_4 ),
inference(equality_proxy_clausification,[],[f267]) ).
thf(f267,plain,
( ! [X1: g] :
( ( ( sK3 @ X1 @ ( sK7 @ X1 ) )
= sK2 )
= $true )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f266]) ).
thf(f266,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( ( sK3 @ X1 @ Y0 )
= sK2 )
@ ( sK7 @ X1 ) )
= $true )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f262]) ).
thf(f262,plain,
( ! [X1: g] :
( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( sK3 @ X1 @ Y0 )
= sK2 ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f261]) ).
thf(f261,plain,
( ! [X1: g] :
( $true
= ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) )
@ X1 ) )
| ~ spl0_4 ),
inference(pi_clausification,[],[f257]) ).
thf(f257,plain,
( ( $false
!= ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f256]) ).
thf(f256,plain,
( ( $false
!= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& $true ) )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f252,f253]) ).
thf(f299,plain,
( ! [X0: g,X1: g] :
( ( sK3 @ sK2 @ X1 )
= ( sK3 @ X0 @ ( sK3 @ ( sK7 @ X0 ) @ X1 ) ) )
| ~ spl0_4 ),
inference(superposition,[],[f280,f268]) ).
thf(f280,plain,
( ! [X2: g,X3: g,X1: g] :
( ( sK3 @ X3 @ ( sK3 @ X1 @ X2 ) )
= ( sK3 @ ( sK3 @ X3 @ X1 ) @ X2 ) )
| ~ spl0_4 ),
inference(equality_proxy_clausification,[],[f279]) ).
thf(f279,plain,
( ! [X2: g,X3: g,X1: g] :
( $true
= ( ( sK3 @ X3 @ ( sK3 @ X1 @ X2 ) )
= ( sK3 @ ( sK3 @ X3 @ X1 ) @ X2 ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f278]) ).
thf(f278,plain,
( ! [X2: g,X3: g,X1: g] :
( $true
= ( ^ [Y0: g] :
( ( sK3 @ Y0 @ ( sK3 @ X1 @ X2 ) )
= ( sK3 @ ( sK3 @ Y0 @ X1 ) @ X2 ) )
@ X3 ) )
| ~ spl0_4 ),
inference(pi_clausification,[],[f277]) ).
thf(f277,plain,
( ! [X2: g,X1: g] :
( $true
= ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ ( sK3 @ X1 @ X2 ) )
= ( sK3 @ ( sK3 @ Y0 @ X1 ) @ X2 ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f276]) ).
thf(f276,plain,
( ! [X2: g,X1: g] :
( ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ ( sK3 @ X1 @ Y0 ) )
= ( sK3 @ ( sK3 @ Y1 @ X1 ) @ Y0 ) ) )
@ X2 )
= $true )
| ~ spl0_4 ),
inference(pi_clausification,[],[f275]) ).
thf(f275,plain,
( ! [X1: g] :
( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( ( sK3 @ Y1 @ ( sK3 @ X1 @ Y0 ) )
= ( sK3 @ ( sK3 @ Y1 @ X1 ) @ Y0 ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f274]) ).
thf(f274,plain,
( ! [X1: g] :
( $true
= ( ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) )
@ X1 ) )
| ~ spl0_4 ),
inference(pi_clausification,[],[f245]) ).
thf(f420,plain,
( ! [X0: g] :
( ( sK3 @ X0 @ sK2 )
= ( sK3 @ sK2 @ ( sK3 @ sK2 @ ( sK7 @ ( sK7 @ X0 ) ) ) ) )
| ~ spl0_4 ),
inference(superposition,[],[f299,f374]) ).
thf(f374,plain,
( ! [X0: g] :
( sK2
= ( sK3 @ X0 @ ( sK3 @ sK2 @ ( sK7 @ X0 ) ) ) )
| ~ spl0_4 ),
inference(superposition,[],[f304,f263]) ).
thf(f304,plain,
( ! [X0: g,X1: g] :
( sK2
= ( sK3 @ X0 @ ( sK3 @ X1 @ ( sK7 @ ( sK3 @ X0 @ X1 ) ) ) ) )
| ~ spl0_4 ),
inference(superposition,[],[f268,f280]) ).
thf(f465,plain,
( ( $false
= ( ( sK3 @ sK2 @ sK9 )
= sK9 ) )
| ~ spl0_4
| ~ spl0_7 ),
inference(boolean_simplification,[],[f464]) ).
thf(f464,plain,
( ( $false
= ( $true
& ( ( sK3 @ sK2 @ sK9 )
= sK9 ) ) )
| ~ spl0_4
| ~ spl0_7 ),
inference(boolean_simplification,[],[f463]) ).
thf(f463,plain,
( ( ( ( sK9 = sK9 )
& ( ( sK3 @ sK2 @ sK9 )
= sK9 ) )
= $false )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f462,f263]) ).
thf(f462,plain,
( ( $false
= ( ( ( sK3 @ sK9 @ sK2 )
= sK9 )
& ( ( sK3 @ sK2 @ sK9 )
= sK9 ) ) )
| ~ spl0_7 ),
inference(beta_eta_normalization,[],[f461]) ).
thf(f461,plain,
( ( $false
= ( ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) )
@ sK9 ) )
| ~ spl0_7 ),
inference(sigma_clausification,[],[f316]) ).
thf(f316,plain,
( ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f315]) ).
thf(f315,plain,
( spl0_7
<=> ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f436,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f435]) ).
thf(f435,plain,
( $false
| ~ spl0_4
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f434]) ).
thf(f434,plain,
( ( $false = $true )
| ~ spl0_4
| ~ spl0_8 ),
inference(boolean_simplification,[],[f433]) ).
thf(f433,plain,
( ( $false
= ( sK2 = sK2 ) )
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f432,f263]) ).
thf(f432,plain,
( ( $false
= ( ( sK3 @ sK2 @ sK2 )
= sK2 ) )
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f431,f411]) ).
thf(f411,plain,
( ! [X0: g] :
( sK2
= ( sK3 @ ( sK7 @ X0 ) @ X0 ) )
| ~ spl0_4 ),
inference(superposition,[],[f374,f355]) ).
thf(f431,plain,
( ( $false
= ( ( sK3 @ sK2 @ ( sK3 @ ( sK7 @ sK8 ) @ sK8 ) )
= sK2 ) )
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f424,f280]) ).
thf(f424,plain,
( ( ( ( sK3 @ ( sK3 @ sK2 @ ( sK7 @ sK8 ) ) @ sK8 )
= sK2 )
= $false )
| ~ spl0_4
| ~ spl0_8 ),
inference(boolean_simplification,[],[f423]) ).
thf(f423,plain,
( ( ( $true
& ( ( sK3 @ ( sK3 @ sK2 @ ( sK7 @ sK8 ) ) @ sK8 )
= sK2 ) )
= $false )
| ~ spl0_4
| ~ spl0_8 ),
inference(boolean_simplification,[],[f422]) ).
thf(f422,plain,
( ( ( ( sK2 = sK2 )
& ( ( sK3 @ ( sK3 @ sK2 @ ( sK7 @ sK8 ) ) @ sK8 )
= sK2 ) )
= $false )
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f340,f374]) ).
thf(f340,plain,
( ! [X1: g] :
( $false
= ( ( ( sK3 @ sK8 @ X1 )
= sK2 )
& ( ( sK3 @ X1 @ sK8 )
= sK2 ) ) )
| ~ spl0_8 ),
inference(beta_eta_normalization,[],[f339]) ).
thf(f339,plain,
( ! [X1: g] :
( $false
= ( ^ [Y0: g] :
( ( ( sK3 @ sK8 @ Y0 )
= sK2 )
& ( ( sK3 @ Y0 @ sK8 )
= sK2 ) )
@ X1 ) )
| ~ spl0_8 ),
inference(pi_clausification,[],[f333]) ).
thf(f333,plain,
( ( $false
= ( ?? @ g
@ ^ [Y0: g] :
( ( ( sK3 @ sK8 @ Y0 )
= sK2 )
& ( ( sK3 @ Y0 @ sK8 )
= sK2 ) ) ) )
| ~ spl0_8 ),
inference(beta_eta_normalization,[],[f332]) ).
thf(f332,plain,
( ( ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
@ sK8 )
= $false )
| ~ spl0_8 ),
inference(sigma_clausification,[],[f319]) ).
thf(f319,plain,
( ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f318]) ).
thf(f318,plain,
( spl0_8
<=> ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f320,plain,
( spl0_7
| spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f313,f60,f318,f315]) ).
thf(f313,plain,
( ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) )
| ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f250]) ).
thf(f250,plain,
( ( $false
= ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[],[f249]) ).
thf(f249,plain,
( ( $false
= ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
& $true
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) ) )
| ~ spl0_4 ),
inference(backward_demodulation,[],[f61,f245]) ).
thf(f234,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f233]) ).
thf(f233,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f232]) ).
thf(f232,plain,
( ( $false = $true )
| ~ spl0_6 ),
inference(boolean_simplification,[],[f231]) ).
thf(f231,plain,
( ( ( $false
& ( ( sK3 @ ( sK4 @ sK6 ) @ sK6 )
= sK2 ) )
= $true )
| ~ spl0_6 ),
inference(superposition,[],[f221,f183]) ).
thf(f183,plain,
( ! [X1: g] :
( $false
= ( ( sK3 @ sK6 @ X1 )
= sK2 ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f182]) ).
thf(f182,plain,
( ! [X1: g] :
( $false
= ( ^ [Y0: g] :
( ( sK3 @ sK6 @ Y0 )
= sK2 )
@ X1 ) )
| ~ spl0_6 ),
inference(pi_clausification,[],[f175]) ).
thf(f175,plain,
( ( ( ?? @ g
@ ^ [Y0: g] :
( ( sK3 @ sK6 @ Y0 )
= sK2 ) )
= $false )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f174]) ).
thf(f174,plain,
( ( $false
= ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) )
@ sK6 ) )
| ~ spl0_6 ),
inference(sigma_clausification,[],[f147]) ).
thf(f147,plain,
( ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f146]) ).
thf(f146,plain,
( spl0_6
<=> ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f221,plain,
( ! [X1: g] :
( $true
= ( ( ( sK3 @ X1 @ ( sK4 @ X1 ) )
= sK2 )
& ( ( sK3 @ ( sK4 @ X1 ) @ X1 )
= sK2 ) ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f220]) ).
thf(f220,plain,
( ! [X1: g] :
( $true
= ( ^ [Y0: g] :
( ( ( sK3 @ X1 @ Y0 )
= sK2 )
& ( ( sK3 @ Y0 @ X1 )
= sK2 ) )
@ ( sK4 @ X1 ) ) )
| ~ spl0_6 ),
inference(sigma_clausification,[],[f218]) ).
thf(f218,plain,
( ! [X1: g] :
( $true
= ( ?? @ g
@ ^ [Y0: g] :
( ( ( sK3 @ X1 @ Y0 )
= sK2 )
& ( ( sK3 @ Y0 @ X1 )
= sK2 ) ) ) )
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f217]) ).
thf(f217,plain,
( ! [X1: g] :
( $true
= ( ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) )
@ X1 ) )
| ~ spl0_6 ),
inference(pi_clausification,[],[f168]) ).
thf(f168,plain,
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f164]) ).
thf(f164,plain,
( ( $false
!= ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) ) )
| ~ spl0_6 ),
inference(boolean_simplification,[],[f163]) ).
thf(f163,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) )
!= ( $false
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) ) ) )
| ~ spl0_6 ),
inference(boolean_simplification,[],[f162]) ).
thf(f162,plain,
( ( ( $false
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) ) )
!= ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) ) )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f46,f147]) ).
thf(f156,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f155]) ).
thf(f155,plain,
( $false
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f154]) ).
thf(f154,plain,
( ( $false = $true )
| ~ spl0_3
| ~ spl0_5 ),
inference(boolean_simplification,[],[f153]) ).
thf(f153,plain,
( ( $false
= ( sK5 = sK5 ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f152,f94]) ).
thf(f94,plain,
( ! [X1: g] :
( ( sK3 @ X1 @ sK2 )
= X1 )
| ~ spl0_3 ),
inference(equality_proxy_clausification,[],[f88]) ).
thf(f88,plain,
( ! [X1: g] :
( $true
= ( ( sK3 @ X1 @ sK2 )
= X1 ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f86]) ).
thf(f86,plain,
( ! [X1: g] :
( ( ( ( sK3 @ X1 @ sK2 )
= X1 )
& ( ( sK3 @ sK2 @ X1 )
= X1 ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f85]) ).
thf(f85,plain,
( ! [X1: g] :
( ( ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) )
@ X1 )
= $true )
| ~ spl0_3 ),
inference(pi_clausification,[],[f82]) ).
thf(f82,plain,
( ( $false
!= ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f78]) ).
thf(f78,plain,
( ( ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
& $true )
!= $false )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f72,f75]) ).
thf(f75,plain,
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f72]) ).
thf(f72,plain,
( ( $false
!= ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f70]) ).
thf(f70,plain,
( ( $false
!= ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) )
& $true ) )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f63,f67]) ).
thf(f67,plain,
( ( $true
= ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f63]) ).
thf(f63,plain,
( ( $false
!= ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) ) )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f46,f58]) ).
thf(f58,plain,
( ( $false
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f57]) ).
thf(f57,plain,
( spl0_3
<=> ( $false
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f152,plain,
( ( $false
= ( ( sK3 @ sK5 @ sK2 )
= sK5 ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f151]) ).
thf(f151,plain,
( ( $false
= ( ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 )
@ sK5 ) )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f144]) ).
thf(f144,plain,
( ( ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) )
= $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f143]) ).
thf(f143,plain,
( spl0_5
<=> ( ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f148,plain,
( spl0_5
| spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f141,f57,f146,f143]) ).
thf(f141,plain,
( ( $false
= ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) ) )
| ( ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) )
= $false )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f80]) ).
thf(f80,plain,
( ( $false
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) ) ) )
| ~ spl0_3 ),
inference(boolean_simplification,[],[f79]) ).
thf(f79,plain,
( ( $false
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) )
& $true ) )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f58,f75]) ).
thf(f62,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f48,f60,f57]) ).
thf(f48,plain,
( ( $false
= ( ( !! @ g
@ ^ [Y0: g] :
( ( ( sK3 @ Y0 @ sK2 )
= Y0 )
& ( ( sK3 @ sK2 @ Y0 )
= Y0 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( ( sK3 @ Y0 @ Y1 )
= sK2 )
& ( ( sK3 @ Y1 @ Y0 )
= sK2 ) ) ) ) ) )
| ( $false
= ( ( !! @ g
@ ^ [Y0: g] :
( ?? @ g
@ ^ [Y1: g] :
( ( sK3 @ Y0 @ Y1 )
= sK2 ) ) )
& ( !! @ g
@ ^ [Y0: g] :
( ( sK3 @ Y0 @ sK2 )
= Y0 ) )
& ( !! @ g
@ ^ [Y0: g] :
( !! @ g
@ ^ [Y1: g] :
( !! @ g
@ ^ [Y2: g] :
( ( sK3 @ Y2 @ ( sK3 @ Y0 @ Y1 ) )
= ( sK3 @ ( sK3 @ Y2 @ Y0 ) @ Y1 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG271^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.12/0.15 % 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
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:56:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.8TXj8Nr8nh/Vampire---4.8_31554
% 0.14/0.38 % (31766)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.39 % (31761)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)
% 0.14/0.39 % (31763)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.39 % (31762)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)
% 0.14/0.39 % (31760)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)
% 0.14/0.39 % (31765)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)
% 0.14/0.39 % (31764)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)
% 0.14/0.39 % (31767)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)
% 0.14/0.39 % (31763)Instruction limit reached!
% 0.14/0.39 % (31763)------------------------------
% 0.14/0.39 % (31763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (31763)Termination reason: Unknown
% 0.14/0.39 % (31763)Termination phase: Preprocessing 3
% 0.14/0.39 % (31764)Instruction limit reached!
% 0.14/0.39 % (31764)------------------------------
% 0.14/0.39 % (31764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (31764)Termination reason: Unknown
% 0.14/0.39 % (31764)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (31764)Memory used [KB]: 895
% 0.14/0.39 % (31764)Time elapsed: 0.004 s
% 0.14/0.39 % (31764)Instructions burned: 2 (million)
% 0.14/0.39 % (31764)------------------------------
% 0.14/0.39 % (31764)------------------------------
% 0.14/0.39
% 0.14/0.39 % (31763)Memory used [KB]: 895
% 0.14/0.39 % (31763)Time elapsed: 0.004 s
% 0.14/0.39 % (31763)Instructions burned: 2 (million)
% 0.14/0.39 % (31763)------------------------------
% 0.14/0.39 % (31763)------------------------------
% 0.14/0.39 % (31767)Instruction limit reached!
% 0.14/0.39 % (31767)------------------------------
% 0.14/0.39 % (31767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (31767)Termination reason: Unknown
% 0.14/0.39 % (31767)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (31767)Memory used [KB]: 1023
% 0.14/0.39 % (31767)Time elapsed: 0.005 s
% 0.14/0.39 % (31761)Instruction limit reached!
% 0.14/0.39 % (31761)------------------------------
% 0.14/0.39 % (31761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (31761)Termination reason: Unknown
% 0.14/0.39 % (31761)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (31761)Memory used [KB]: 5500
% 0.14/0.39 % (31761)Time elapsed: 0.006 s
% 0.14/0.39 % (31761)Instructions burned: 4 (million)
% 0.14/0.39 % (31761)------------------------------
% 0.14/0.39 % (31761)------------------------------
% 0.14/0.39 % (31767)Instructions burned: 3 (million)
% 0.14/0.40 % (31767)------------------------------
% 0.14/0.40 % (31767)------------------------------
% 0.14/0.40 % (31766)Instruction limit reached!
% 0.14/0.40 % (31766)------------------------------
% 0.14/0.40 % (31766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (31766)Termination reason: Unknown
% 0.14/0.40 % (31766)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (31766)Memory used [KB]: 5628
% 0.14/0.40 % (31766)Time elapsed: 0.019 s
% 0.14/0.40 % (31766)Instructions burned: 18 (million)
% 0.14/0.40 % (31766)------------------------------
% 0.14/0.40 % (31766)------------------------------
% 0.22/0.42 % (31762)Instruction limit reached!
% 0.22/0.42 % (31762)------------------------------
% 0.22/0.42 % (31762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (31762)Termination reason: Unknown
% 0.22/0.42 % (31762)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (31762)Memory used [KB]: 5756
% 0.22/0.42 % (31762)Time elapsed: 0.029 s
% 0.22/0.42 % (31762)Instructions burned: 27 (million)
% 0.22/0.42 % (31762)------------------------------
% 0.22/0.42 % (31762)------------------------------
% 0.22/0.42 % (31774)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 Vampire---4 for (2999ds/37Mi)
% 0.22/0.42 % (31775)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 Vampire---4 for (2999ds/15Mi)
% 0.22/0.42 % (31776)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.42 % (31777)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 Vampire---4 for (2999ds/1041Mi)
% 0.22/0.42 % (31776)Instruction limit reached!
% 0.22/0.42 % (31776)------------------------------
% 0.22/0.42 % (31776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (31776)Termination reason: Unknown
% 0.22/0.42 % (31776)Termination phase: Function definition elimination
% 0.22/0.42
% 0.22/0.42 % (31776)Memory used [KB]: 1023
% 0.22/0.42 % (31776)Time elapsed: 0.005 s
% 0.22/0.42 % (31776)Instructions burned: 3 (million)
% 0.22/0.42 % (31776)------------------------------
% 0.22/0.42 % (31776)------------------------------
% 0.22/0.43 % (31778)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.22/0.43 % (31778)Instruction limit reached!
% 0.22/0.43 % (31778)------------------------------
% 0.22/0.43 % (31778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (31778)Termination reason: Unknown
% 0.22/0.43 % (31778)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (31778)Memory used [KB]: 1023
% 0.22/0.43 % (31778)Time elapsed: 0.008 s
% 0.22/0.43 % (31778)Instructions burned: 7 (million)
% 0.22/0.43 % (31778)------------------------------
% 0.22/0.43 % (31778)------------------------------
% 0.22/0.43 % (31775)Instruction limit reached!
% 0.22/0.43 % (31775)------------------------------
% 0.22/0.43 % (31775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (31775)Termination reason: Unknown
% 0.22/0.43 % (31775)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (31775)Memory used [KB]: 5628
% 0.22/0.43 % (31775)Time elapsed: 0.016 s
% 0.22/0.43 % (31775)Instructions burned: 15 (million)
% 0.22/0.43 % (31775)------------------------------
% 0.22/0.43 % (31775)------------------------------
% 0.22/0.44 % (31782)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.22/0.45 % (31784)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 Vampire---4 for (2999ds/3Mi)
% 0.22/0.45 % (31784)Instruction limit reached!
% 0.22/0.45 % (31784)------------------------------
% 0.22/0.45 % (31784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (31784)Termination reason: Unknown
% 0.22/0.45 % (31784)Termination phase: Clausification
% 0.22/0.45
% 0.22/0.45 % (31784)Memory used [KB]: 1023
% 0.22/0.45 % (31784)Time elapsed: 0.005 s
% 0.22/0.45 % (31784)Instructions burned: 3 (million)
% 0.22/0.45 % (31784)------------------------------
% 0.22/0.45 % (31784)------------------------------
% 0.22/0.45 % (31774)Instruction limit reached!
% 0.22/0.45 % (31774)------------------------------
% 0.22/0.45 % (31774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (31774)Termination reason: Unknown
% 0.22/0.45 % (31774)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (31774)Memory used [KB]: 5628
% 0.22/0.45 % (31774)Time elapsed: 0.037 s
% 0.22/0.45 % (31774)Instructions burned: 37 (million)
% 0.22/0.45 % (31774)------------------------------
% 0.22/0.45 % (31774)------------------------------
% 0.22/0.46 % (31786)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 Vampire---4 for (2999ds/3Mi)
% 0.22/0.46 % (31786)Instruction limit reached!
% 0.22/0.46 % (31786)------------------------------
% 0.22/0.46 % (31786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (31786)Termination reason: Unknown
% 0.22/0.46 % (31786)Termination phase: Preprocessing 1
% 0.22/0.46
% 0.22/0.46 % (31786)Memory used [KB]: 1023
% 0.22/0.46 % (31786)Time elapsed: 0.004 s
% 0.22/0.46 % (31786)Instructions burned: 3 (million)
% 0.22/0.46 % (31786)------------------------------
% 0.22/0.46 % (31786)------------------------------
% 0.22/0.46 % (31787)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.22/0.46 % (31782)Instruction limit reached!
% 0.22/0.46 % (31782)------------------------------
% 0.22/0.46 % (31782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (31782)Termination reason: Unknown
% 0.22/0.46 % (31782)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (31782)Memory used [KB]: 5884
% 0.22/0.46 % (31782)Time elapsed: 0.019 s
% 0.22/0.46 % (31782)Instructions burned: 16 (million)
% 0.22/0.46 % (31782)------------------------------
% 0.22/0.46 % (31782)------------------------------
% 0.22/0.46 % (31787)Instruction limit reached!
% 0.22/0.46 % (31787)------------------------------
% 0.22/0.46 % (31787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (31787)Termination reason: Unknown
% 0.22/0.46 % (31787)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (31787)Memory used [KB]: 5500
% 0.22/0.46 % (31787)Time elapsed: 0.008 s
% 0.22/0.46 % (31787)Instructions burned: 7 (million)
% 0.22/0.46 % (31787)------------------------------
% 0.22/0.46 % (31787)------------------------------
% 0.22/0.47 % (31790)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.47 % (31790)Instruction limit reached!
% 0.22/0.47 % (31790)------------------------------
% 0.22/0.47 % (31790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (31790)Termination reason: Unknown
% 0.22/0.47 % (31790)Termination phase: Function definition elimination
% 0.22/0.47
% 0.22/0.47 % (31790)Memory used [KB]: 1023
% 0.22/0.47 % (31790)Time elapsed: 0.003 s
% 0.22/0.47 % (31790)Instructions burned: 3 (million)
% 0.22/0.47 % (31790)------------------------------
% 0.22/0.47 % (31790)------------------------------
% 0.22/0.47 % (31793)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.22/0.48 % (31793)Instruction limit reached!
% 0.22/0.48 % (31793)------------------------------
% 0.22/0.48 % (31793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (31793)Termination reason: Unknown
% 0.22/0.48 % (31793)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (31793)Memory used [KB]: 5500
% 0.22/0.48 % (31793)Time elapsed: 0.004 s
% 0.22/0.48 % (31793)Instructions burned: 5 (million)
% 0.22/0.48 % (31793)------------------------------
% 0.22/0.48 % (31793)------------------------------
% 0.22/0.48 % (31794)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.48 % (31795)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.22/0.48 % (31777)First to succeed.
% 0.22/0.48 % (31796)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.48 % (31796)Instruction limit reached!
% 0.22/0.48 % (31796)------------------------------
% 0.22/0.48 % (31796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (31796)Termination reason: Unknown
% 0.22/0.48 % (31796)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (31796)Memory used [KB]: 5500
% 0.22/0.48 % (31796)Time elapsed: 0.005 s
% 0.22/0.48 % (31796)Instructions burned: 6 (million)
% 0.22/0.48 % (31796)------------------------------
% 0.22/0.48 % (31796)------------------------------
% 0.22/0.49 % (31777)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Theorem for Vampire---4
% 0.22/0.49 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.49 % (31777)------------------------------
% 0.22/0.49 % (31777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (31777)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (31777)Memory used [KB]: 5884
% 0.22/0.49 % (31777)Time elapsed: 0.089 s
% 0.22/0.49 % (31777)Instructions burned: 82 (million)
% 0.22/0.49 % (31777)------------------------------
% 0.22/0.49 % (31777)------------------------------
% 0.22/0.49 % (31757)Success in time 0.117 s
% 0.22/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------