TSTP Solution File: SEV261^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV261^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:12:34 EDT 2024
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 58
% Syntax : Number of formulae : 344 ( 7 unt; 39 typ; 0 def)
% Number of atoms : 3032 ( 941 equ; 0 cnn)
% Maximal formula atoms : 18 ( 9 avg)
% Number of connectives : 2523 ( 556 ~; 749 |; 269 &; 679 @)
% ( 18 <=>; 113 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 378 ( 378 >; 0 *; 0 +; 0 <<)
% Number of symbols : 60 ( 55 usr; 43 con; 0-2 aty)
% ( 116 !!; 23 ??; 0 @@+; 0 @@-)
% Number of variables : 860 ( 757 ^ 99 !; 3 ?; 860 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_16,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
sK2: a > $o ).
thf(func_def_18,type,
sK3: ( a > $o ) > $o ).
thf(func_def_19,type,
sK4: a ).
thf(func_def_20,type,
sK5: ( a > $o ) > $o ).
thf(func_def_21,type,
sK6: a ).
thf(func_def_22,type,
sK7: a > a > $o ).
thf(func_def_23,type,
sK8: a > a > $o ).
thf(func_def_24,type,
sK9: a ).
thf(func_def_25,type,
sK10: a > $o ).
thf(func_def_26,type,
sK11: a > $o ).
thf(func_def_27,type,
sK12: a > $o ).
thf(func_def_28,type,
sK13: a ).
thf(func_def_29,type,
sK14: a > $o ).
thf(func_def_30,type,
sK15: a ).
thf(func_def_31,type,
sK16: a ).
thf(func_def_32,type,
sK17: a ).
thf(func_def_33,type,
sK18: a ).
thf(func_def_34,type,
sK19: a ).
thf(func_def_35,type,
sK20: a > $o ).
thf(func_def_36,type,
sK21: a > $o ).
thf(func_def_37,type,
sK22: a ).
thf(func_def_38,type,
sK23: a ).
thf(func_def_39,type,
sK24: a > $o ).
thf(func_def_40,type,
sK25: a ).
thf(func_def_41,type,
sK26: a > $o ).
thf(func_def_42,type,
sK27: a ).
thf(func_def_43,type,
sK28: a ).
thf(func_def_44,type,
sK29: a > $o ).
thf(func_def_45,type,
sK30: a ).
thf(func_def_46,type,
sK31: a > $o ).
thf(func_def_47,type,
sK32: a ).
thf(func_def_48,type,
sK33: a ).
thf(func_def_49,type,
sK34: a ).
thf(func_def_50,type,
sK35: a ).
thf(func_def_51,type,
sK36: a ).
thf(func_def_52,type,
sK37: a ).
thf(f916,plain,
$false,
inference(avatar_sat_refutation,[],[f18,f306,f353,f443,f453,f494,f526,f568,f578,f632,f650,f721,f741,f759,f809,f836,f862,f880,f915]) ).
thf(f915,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f914]) ).
thf(f914,plain,
( $false
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f913,f889]) ).
thf(f889,plain,
( ! [X1: a] :
( $false
= ( sK31 @ X1 ) )
| ~ spl0_19 ),
inference(beta_eta_normalization,[],[f888]) ).
thf(f888,plain,
( ! [X1: a] :
( ( sK31 @ X1 )
= ( ^ [Y0: a] : $false
@ X1 ) )
| ~ spl0_19 ),
inference(argument_congruence,[],[f883]) ).
thf(f883,plain,
( ( sK31
= ( ^ [Y0: a] : $false ) )
| ~ spl0_19 ),
inference(equality_proxy_clausification,[],[f861]) ).
thf(f861,plain,
( ( $true
= ( sK31
= ( ^ [Y0: a] : $false ) ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f860]) ).
thf(f860,plain,
( spl0_19
<=> ( $true
= ( sK31
= ( ^ [Y0: a] : $false ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
thf(f913,plain,
( ( ( sK31 @ sK37 )
!= $false )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f912,f890]) ).
thf(f890,plain,
( ! [X1: a] :
( $false
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f851,f889]) ).
thf(f851,plain,
( ! [X1: a] :
( ( sK10 @ X1 )
= ( sK31 @ X1 ) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(boolean_simplification,[],[f850]) ).
thf(f850,plain,
( ! [X1: a] :
( ( $true
& ( sK31 @ X1 ) )
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(backward_demodulation,[],[f829,f849]) ).
thf(f849,plain,
( ! [X1: a] :
( $true
= ( sK11 @ X1 ) )
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f847,f766]) ).
thf(f766,plain,
( ! [X1: a] :
( $true
= ( sK14 @ X1 ) )
| ~ spl0_8 ),
inference(beta_eta_normalization,[],[f765]) ).
thf(f765,plain,
( ! [X1: a] :
( ( ^ [Y0: a] : $true
@ X1 )
= ( sK14 @ X1 ) )
| ~ spl0_8 ),
inference(argument_congruence,[],[f760]) ).
thf(f760,plain,
( ( sK14
= ( ^ [Y0: a] : $true ) )
| ~ spl0_8 ),
inference(equality_proxy_clausification,[],[f490]) ).
thf(f490,plain,
( ( $true
= ( ( ^ [Y0: a] : $true )
= sK14 ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f489]) ).
thf(f489,plain,
( spl0_8
<=> ( $true
= ( ( ^ [Y0: a] : $true )
= sK14 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f847,plain,
( ! [X1: a] :
( ( sK11 @ X1 )
= ( sK14 @ X1 ) )
| ~ spl0_17 ),
inference(argument_congruence,[],[f839]) ).
thf(f839,plain,
( ( sK14 = sK11 )
| ~ spl0_17 ),
inference(equality_proxy_clausification,[],[f808]) ).
thf(f808,plain,
( ( $true
= ( sK14 = sK11 ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f807]) ).
thf(f807,plain,
( spl0_17
<=> ( $true
= ( sK14 = sK11 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
thf(f829,plain,
( ! [X1: a] :
( ( ( sK11 @ X1 )
& ( sK31 @ X1 ) )
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(beta_eta_normalization,[],[f828]) ).
thf(f828,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK31 @ Y0 ) )
@ X1 )
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(argument_congruence,[],[f824]) ).
thf(f824,plain,
( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK31 @ Y0 ) ) )
= sK10 )
| ~ spl0_7
| ~ spl0_8 ),
inference(equality_proxy_clausification,[],[f795]) ).
thf(f795,plain,
( ( $true
= ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK31 @ Y0 ) ) )
= sK10 ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(binary_proxy_clausification,[],[f792]) ).
thf(f792,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK31 @ Y0 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y0: a] : $false ) )
| ( sK14 = sK11 ) ) ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(boolean_simplification,[],[f791]) ).
thf(f791,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK31 @ Y0 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y0: a] : $false ) )
| ( sK14 = sK11 ) )
& $true ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f782,f789]) ).
thf(f789,plain,
( ( $true
= ( ( sK14 = sK31 )
| ( sK31
= ( ^ [Y0: a] : $false ) ) ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(binary_proxy_clausification,[],[f782]) ).
thf(f782,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK31 @ Y0 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y0: a] : $false ) )
| ( sK14 = sK11 ) )
& ( ( sK14 = sK31 )
| ( sK31
= ( ^ [Y0: a] : $false ) ) ) ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(not_proxy_clausification,[],[f780]) ).
thf(f780,plain,
( ( $false
= ( ~ ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK31 @ Y0 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y0: a] : $false ) )
| ( sK14 = sK11 ) )
& ( ( sK14 = sK31 )
| ( sK31
= ( ^ [Y0: a] : $false ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(beta_eta_normalization,[],[f779]) ).
thf(f779,plain,
( ( $false
= ( ^ [Y0: a > $o] :
~ ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y1: a] : $false ) )
| ( sK14 = sK11 ) )
& ( ( sK14 = Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
@ sK31 ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(sigma_clausification,[],[f773]) ).
thf(f773,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
~ ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y1: a] : $false ) )
| ( sK14 = sK11 ) )
& ( ( sK14 = Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) ) )
= $false )
| ~ spl0_7
| ~ spl0_8 ),
inference(boolean_simplification,[],[f772]) ).
thf(f772,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y1: a] : $false ) )
| ( sK14 = sK11 ) )
& ( ( sK14 = Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
=> $false ) )
= $false )
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f761,f769]) ).
thf(f769,plain,
( ( ( ( sK10 = sK14 )
| ( sK10
= ( ^ [Y0: a] : $false ) ) )
= $false )
| ~ spl0_7
| ~ spl0_8 ),
inference(binary_proxy_clausification,[],[f768]) ).
thf(f768,plain,
( ( ( ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK29 @ Y0 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y0: a] : $false ) )
| ( sK14 = sK11 ) )
& ( ( sK14 = sK29 )
| ( sK29
= ( ^ [Y0: a] : $false ) ) ) )
=> ( ( sK10 = sK14 )
| ( sK10
= ( ^ [Y0: a] : $false ) ) ) )
= $false )
| ~ spl0_7
| ~ spl0_8 ),
inference(beta_eta_normalization,[],[f767]) ).
thf(f767,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y1: a] : $false ) )
| ( sK14 = sK11 ) )
& ( ( sK14 = Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
=> ( ( sK10 = sK14 )
| ( sK10
= ( ^ [Y1: a] : $false ) ) ) )
@ sK29 ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(sigma_clausification,[],[f761]) ).
thf(f761,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y1: a] : $false ) )
| ( sK14 = sK11 ) )
& ( ( sK14 = Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
=> ( ( sK10 = sK14 )
| ( sK10
= ( ^ [Y1: a] : $false ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f661,f760]) ).
thf(f661,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y1: a] : $false ) )
| ( ( ^ [Y1: a] : $true )
= sK11 ) )
& ( ( ( ^ [Y1: a] : $true )
= Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
=> ( ( sK10
= ( ^ [Y1: a] : $true ) )
| ( sK10
= ( ^ [Y1: a] : $false ) ) ) ) ) )
| ~ spl0_7 ),
inference(beta_eta_normalization,[],[f660]) ).
thf(f660,plain,
( ( ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ( ^ [Y2: a] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) )
= sK10 )
& ( ( Y0
= ( ^ [Y2: a] : $false ) )
| ( ( ^ [Y2: a] : $true )
= Y0 ) )
& ( ( ( ^ [Y2: a] : $true )
= Y1 )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) )
=> ( ( sK10
= ( ^ [Y2: a] : $true ) )
| ( sK10
= ( ^ [Y2: a] : $false ) ) ) ) )
@ sK11 )
= $false )
| ~ spl0_7 ),
inference(sigma_clausification,[],[f657]) ).
thf(f657,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ( ^ [Y2: a] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) )
= sK10 )
& ( ( Y0
= ( ^ [Y2: a] : $false ) )
| ( ( ^ [Y2: a] : $true )
= Y0 ) )
& ( ( ( ^ [Y2: a] : $true )
= Y1 )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) )
=> ( ( sK10
= ( ^ [Y2: a] : $true ) )
| ( sK10
= ( ^ [Y2: a] : $false ) ) ) ) ) )
= $false )
| ~ spl0_7 ),
inference(beta_eta_normalization,[],[f656]) ).
thf(f656,plain,
( ( ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y2 @ Y3 ) ) )
= Y0 )
& ( ( Y1
= ( ^ [Y3: a] : $false ) )
| ( ( ^ [Y3: a] : $true )
= Y1 ) )
& ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y0
= ( ^ [Y3: a] : $true ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) ) ) )
@ sK10 )
= $false )
| ~ spl0_7 ),
inference(sigma_clausification,[],[f452]) ).
thf(f452,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y2 @ Y3 ) ) )
= Y0 )
& ( ( Y1
= ( ^ [Y3: a] : $false ) )
| ( ( ^ [Y3: a] : $true )
= Y1 ) )
& ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y0
= ( ^ [Y3: a] : $true ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) ) ) ) )
= $false )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f451]) ).
thf(f451,plain,
( spl0_7
<=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y2 @ Y3 ) ) )
= Y0 )
& ( ( Y1
= ( ^ [Y3: a] : $false ) )
| ( ( ^ [Y3: a] : $true )
= Y1 ) )
& ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y0
= ( ^ [Y3: a] : $true ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f912,plain,
( ( ( sK31 @ sK37 )
!= ( sK10 @ sK37 ) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_19 ),
inference(negative_extensionality,[],[f911]) ).
thf(f911,plain,
( ( sK31 != sK10 )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_19 ),
inference(equality_proxy_clausification,[],[f886]) ).
thf(f886,plain,
( ( ( sK10 = sK31 )
= $false )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_19 ),
inference(backward_demodulation,[],[f785,f883]) ).
thf(f785,plain,
( ( ( sK10
= ( ^ [Y0: a] : $false ) )
= $false )
| ~ spl0_7
| ~ spl0_8 ),
inference(binary_proxy_clausification,[],[f769]) ).
thf(f880,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f879]) ).
thf(f879,plain,
( $false
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f878]) ).
thf(f878,plain,
( ( $true != $true )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f801,f872]) ).
thf(f872,plain,
( ! [X1: a] :
( $true
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f871,f849]) ).
thf(f871,plain,
( ! [X1: a] :
( ( sK11 @ X1 )
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f870,f851]) ).
thf(f870,plain,
( ! [X1: a] :
( ( sK11 @ X1 )
= ( sK31 @ X1 ) )
| ~ spl0_18 ),
inference(argument_congruence,[],[f867]) ).
thf(f867,plain,
( ( sK31 = sK11 )
| ~ spl0_18 ),
inference(equality_proxy_clausification,[],[f858]) ).
thf(f858,plain,
( ( $true
= ( sK11 = sK31 ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f857]) ).
thf(f857,plain,
( spl0_18
<=> ( $true
= ( sK11 = sK31 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
thf(f801,plain,
( ( $true
!= ( sK10 @ sK32 ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f800,f766]) ).
thf(f800,plain,
( ( ( sK10 @ sK32 )
!= ( sK14 @ sK32 ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(negative_extensionality,[],[f793]) ).
thf(f793,plain,
( ( sK14 != sK10 )
| ~ spl0_7
| ~ spl0_8 ),
inference(equality_proxy_clausification,[],[f788]) ).
thf(f788,plain,
( ( $false
= ( sK10 = sK14 ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(boolean_simplification,[],[f787]) ).
thf(f787,plain,
( ( ( ( sK10 = sK14 )
| $false )
= $false )
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f769,f785]) ).
thf(f862,plain,
( spl0_18
| spl0_19
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f855,f807,f489,f451,f860,f857]) ).
thf(f855,plain,
( ( $true
= ( sK31
= ( ^ [Y0: a] : $false ) ) )
| ( $true
= ( sK11 = sK31 ) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(binary_proxy_clausification,[],[f843]) ).
thf(f843,plain,
( ( $true
= ( ( sK11 = sK31 )
| ( sK31
= ( ^ [Y0: a] : $false ) ) ) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(backward_demodulation,[],[f789,f839]) ).
thf(f836,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f835]) ).
thf(f835,plain,
( $false
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f834,f831]) ).
thf(f831,plain,
( ! [X1: a] :
( $false
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(boolean_simplification,[],[f830]) ).
thf(f830,plain,
( ! [X1: a] :
( ( sK10 @ X1 )
= ( $false
& ( sK31 @ X1 ) ) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f829,f822]) ).
thf(f822,plain,
( ! [X1: a] :
( ( sK11 @ X1 )
= $false )
| ~ spl0_16 ),
inference(beta_eta_normalization,[],[f821]) ).
thf(f821,plain,
( ! [X1: a] :
( ( sK11 @ X1 )
= ( ^ [Y0: a] : $false
@ X1 ) )
| ~ spl0_16 ),
inference(argument_congruence,[],[f812]) ).
thf(f812,plain,
( ( sK11
= ( ^ [Y0: a] : $false ) )
| ~ spl0_16 ),
inference(equality_proxy_clausification,[],[f805]) ).
thf(f805,plain,
( ( $true
= ( sK11
= ( ^ [Y0: a] : $false ) ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f804]) ).
thf(f804,plain,
( spl0_16
<=> ( $true
= ( sK11
= ( ^ [Y0: a] : $false ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
thf(f834,plain,
( ( ( sK10 @ sK34 )
!= $false )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f833,f822]) ).
thf(f833,plain,
( ( ( sK10 @ sK34 )
!= ( sK11 @ sK34 ) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(negative_extensionality,[],[f827]) ).
thf(f827,plain,
( ( sK10 != sK11 )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(equality_proxy_clausification,[],[f816]) ).
thf(f816,plain,
( ( $false
= ( sK10 = sK11 ) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(backward_demodulation,[],[f785,f812]) ).
thf(f809,plain,
( spl0_16
| spl0_17
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f802,f489,f451,f807,f804]) ).
thf(f802,plain,
( ( $true
= ( sK11
= ( ^ [Y0: a] : $false ) ) )
| ( $true
= ( sK14 = sK11 ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(binary_proxy_clausification,[],[f797]) ).
thf(f797,plain,
( ( $true
= ( ( sK11
= ( ^ [Y0: a] : $false ) )
| ( sK14 = sK11 ) ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(boolean_simplification,[],[f796]) ).
thf(f796,plain,
( ( $true
= ( $true
& ( ( sK11
= ( ^ [Y0: a] : $false ) )
| ( sK14 = sK11 ) ) ) )
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f792,f795]) ).
thf(f759,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f758]) ).
thf(f758,plain,
( $false
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f756]) ).
thf(f756,plain,
( ( $true != $true )
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f689,f751]) ).
thf(f751,plain,
( ! [X1: a] :
( $true
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f750,f673]) ).
thf(f673,plain,
( ! [X1: a] :
( $true
= ( sK11 @ X1 ) )
| ~ spl0_10 ),
inference(beta_eta_normalization,[],[f672]) ).
thf(f672,plain,
( ! [X1: a] :
( ( ^ [Y0: a] : $true
@ X1 )
= ( sK11 @ X1 ) )
| ~ spl0_10 ),
inference(argument_congruence,[],[f662]) ).
thf(f662,plain,
( ( sK11
= ( ^ [Y0: a] : $true ) )
| ~ spl0_10 ),
inference(equality_proxy_clausification,[],[f522]) ).
thf(f522,plain,
( ( $true
= ( ( ^ [Y0: a] : $true )
= sK11 ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f521]) ).
thf(f521,plain,
( spl0_10
<=> ( $true
= ( ( ^ [Y0: a] : $true )
= sK11 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f750,plain,
( ! [X1: a] :
( ( sK11 @ X1 )
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f749,f709]) ).
thf(f709,plain,
( ! [X1: a] :
( ( sK10 @ X1 )
= ( sK26 @ X1 ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(boolean_simplification,[],[f708]) ).
thf(f708,plain,
( ! [X1: a] :
( ( $true
& ( sK26 @ X1 ) )
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f707,f673]) ).
thf(f707,plain,
( ! [X1: a] :
( ( ( sK11 @ X1 )
& ( sK26 @ X1 ) )
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(beta_eta_normalization,[],[f706]) ).
thf(f706,plain,
( ! [X1: a] :
( ( sK10 @ X1 )
= ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK26 @ Y0 ) )
@ X1 ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(argument_congruence,[],[f702]) ).
thf(f702,plain,
( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK26 @ Y0 ) ) )
= sK10 )
| ~ spl0_7
| ~ spl0_10 ),
inference(equality_proxy_clausification,[],[f700]) ).
thf(f700,plain,
( ( $true
= ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK26 @ Y0 ) ) )
= sK10 ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(boolean_simplification,[],[f699]) ).
thf(f699,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK26 @ Y0 ) ) )
= sK10 )
& $true ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f692,f697]) ).
thf(f697,plain,
( ( $true
= ( ( sK11 = sK26 )
| ( sK26
= ( ^ [Y0: a] : $false ) ) ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(binary_proxy_clausification,[],[f692]) ).
thf(f692,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK26 @ Y0 ) ) )
= sK10 )
& ( ( sK11 = sK26 )
| ( sK26
= ( ^ [Y0: a] : $false ) ) ) ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(not_proxy_clausification,[],[f691]) ).
thf(f691,plain,
( ( ( ~ ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK26 @ Y0 ) ) )
= sK10 )
& ( ( sK11 = sK26 )
| ( sK26
= ( ^ [Y0: a] : $false ) ) ) ) )
= $false )
| ~ spl0_7
| ~ spl0_10 ),
inference(beta_eta_normalization,[],[f690]) ).
thf(f690,plain,
( ( ( ^ [Y0: a > $o] :
~ ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11 = Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
@ sK26 )
= $false )
| ~ spl0_7
| ~ spl0_10 ),
inference(sigma_clausification,[],[f682]) ).
thf(f682,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
~ ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11 = Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(boolean_simplification,[],[f681]) ).
thf(f681,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11 = Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
=> $false ) ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f669,f680]) ).
thf(f680,plain,
( ( $false
= ( ( sK10 = sK11 )
| ( sK10
= ( ^ [Y0: a] : $false ) ) ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(boolean_simplification,[],[f679]) ).
thf(f679,plain,
( ( $false
= ( $true
=> ( ( sK10 = sK11 )
| ( sK10
= ( ^ [Y0: a] : $false ) ) ) ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f671,f678]) ).
thf(f678,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK24 @ Y0 ) ) )
= sK10 )
& ( ( sK11 = sK24 )
| ( sK24
= ( ^ [Y0: a] : $false ) ) ) ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(binary_proxy_clausification,[],[f671]) ).
thf(f671,plain,
( ( ( ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK24 @ Y0 ) ) )
= sK10 )
& ( ( sK11 = sK24 )
| ( sK24
= ( ^ [Y0: a] : $false ) ) ) )
=> ( ( sK10 = sK11 )
| ( sK10
= ( ^ [Y0: a] : $false ) ) ) )
= $false )
| ~ spl0_7
| ~ spl0_10 ),
inference(beta_eta_normalization,[],[f670]) ).
thf(f670,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11 = Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
=> ( ( sK10 = sK11 )
| ( sK10
= ( ^ [Y1: a] : $false ) ) ) )
@ sK24 ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(sigma_clausification,[],[f669]) ).
thf(f669,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11 = Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
=> ( ( sK10 = sK11 )
| ( sK10
= ( ^ [Y1: a] : $false ) ) ) ) )
= $false )
| ~ spl0_7
| ~ spl0_10 ),
inference(boolean_simplification,[],[f668]) ).
thf(f668,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& $true
& ( ( sK11 = Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
=> ( ( sK10 = sK11 )
| ( sK10
= ( ^ [Y1: a] : $false ) ) ) ) )
= $false )
| ~ spl0_7
| ~ spl0_10 ),
inference(boolean_simplification,[],[f667]) ).
thf(f667,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y1: a] : $false ) )
| $true )
& ( ( sK11 = Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
=> ( ( sK10 = sK11 )
| ( sK10
= ( ^ [Y1: a] : $false ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(boolean_simplification,[],[f663]) ).
thf(f663,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y1: a] : $false ) )
| ( sK11 = sK11 ) )
& ( ( sK11 = Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
=> ( ( sK10 = sK11 )
| ( sK10
= ( ^ [Y1: a] : $false ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f661,f662]) ).
thf(f749,plain,
( ! [X1: a] :
( ( sK11 @ X1 )
= ( sK26 @ X1 ) )
| ~ spl0_14 ),
inference(argument_congruence,[],[f746]) ).
thf(f746,plain,
( ( sK11 = sK26 )
| ~ spl0_14 ),
inference(equality_proxy_clausification,[],[f717]) ).
thf(f717,plain,
( ( $true
= ( sK11 = sK26 ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f716]) ).
thf(f716,plain,
( spl0_14
<=> ( $true
= ( sK11 = sK26 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
thf(f689,plain,
( ( $true
!= ( sK10 @ sK25 ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f688,f673]) ).
thf(f688,plain,
( ( ( sK10 @ sK25 )
!= ( sK11 @ sK25 ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(negative_extensionality,[],[f687]) ).
thf(f687,plain,
( ( sK10 != sK11 )
| ~ spl0_7
| ~ spl0_10 ),
inference(equality_proxy_clausification,[],[f686]) ).
thf(f686,plain,
( ( $false
= ( sK10 = sK11 ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(boolean_simplification,[],[f685]) ).
thf(f685,plain,
( ( $false
= ( ( sK10 = sK11 )
| $false ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f680,f683]) ).
thf(f683,plain,
( ( ( sK10
= ( ^ [Y0: a] : $false ) )
= $false )
| ~ spl0_7
| ~ spl0_10 ),
inference(binary_proxy_clausification,[],[f680]) ).
thf(f741,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f740]) ).
thf(f740,plain,
( $false
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f739]) ).
thf(f739,plain,
( ( $false != $false )
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f711,f734]) ).
thf(f734,plain,
( ! [X1: a] :
( $false
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15 ),
inference(backward_demodulation,[],[f709,f732]) ).
thf(f732,plain,
( ! [X1: a] :
( $false
= ( sK26 @ X1 ) )
| ~ spl0_15 ),
inference(beta_eta_normalization,[],[f729]) ).
thf(f729,plain,
( ! [X1: a] :
( ( sK26 @ X1 )
= ( ^ [Y0: a] : $false
@ X1 ) )
| ~ spl0_15 ),
inference(argument_congruence,[],[f724]) ).
thf(f724,plain,
( ( sK26
= ( ^ [Y0: a] : $false ) )
| ~ spl0_15 ),
inference(equality_proxy_clausification,[],[f720]) ).
thf(f720,plain,
( ( $true
= ( sK26
= ( ^ [Y0: a] : $false ) ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f719]) ).
thf(f719,plain,
( spl0_15
<=> ( $true
= ( sK26
= ( ^ [Y0: a] : $false ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
thf(f711,plain,
( ( ( sK10 @ sK28 )
!= $false )
| ~ spl0_7
| ~ spl0_10 ),
inference(beta_eta_normalization,[],[f710]) ).
thf(f710,plain,
( ( ( sK10 @ sK28 )
!= ( ^ [Y0: a] : $false
@ sK28 ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(negative_extensionality,[],[f705]) ).
thf(f705,plain,
( ( sK10
!= ( ^ [Y0: a] : $false ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(equality_proxy_clausification,[],[f683]) ).
thf(f721,plain,
( spl0_14
| spl0_15
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f714,f521,f451,f719,f716]) ).
thf(f714,plain,
( ( $true
= ( sK11 = sK26 ) )
| ( $true
= ( sK26
= ( ^ [Y0: a] : $false ) ) )
| ~ spl0_7
| ~ spl0_10 ),
inference(binary_proxy_clausification,[],[f697]) ).
thf(f650,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f649]) ).
thf(f649,plain,
( $false
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f648]) ).
thf(f648,plain,
( ( $true = $false )
| ~ spl0_13 ),
inference(boolean_simplification,[],[f647]) ).
thf(f647,plain,
( ( ( $true
| ( ( ^ [Y0: a] : $true )
= sK21 ) )
= $false )
| ~ spl0_13 ),
inference(boolean_simplification,[],[f645]) ).
thf(f645,plain,
( ( $false
= ( ( sK21 = sK21 )
| ( ( ^ [Y0: a] : $true )
= sK21 ) ) )
| ~ spl0_13 ),
inference(backward_demodulation,[],[f637,f643]) ).
thf(f643,plain,
( ( sK21
= ( ^ [Y0: a] : $false ) )
| ~ spl0_13 ),
inference(equality_proxy_clausification,[],[f638]) ).
thf(f638,plain,
( ( $true
= ( sK21
= ( ^ [Y0: a] : $false ) ) )
| ~ spl0_13 ),
inference(binary_proxy_clausification,[],[f636]) ).
thf(f636,plain,
( ( $false
= ( ( sK21
= ( ^ [Y0: a] : $false ) )
=> ( ( ( ^ [Y0: a] : $false )
= sK21 )
| ( ( ^ [Y0: a] : $true )
= sK21 ) ) ) )
| ~ spl0_13 ),
inference(beta_eta_normalization,[],[f635]) ).
thf(f635,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) )
@ sK21 ) )
| ~ spl0_13 ),
inference(sigma_clausification,[],[f577]) ).
thf(f577,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f576]) ).
thf(f576,plain,
( spl0_13
<=> ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
thf(f637,plain,
( ( ( ( ( ^ [Y0: a] : $false )
= sK21 )
| ( ( ^ [Y0: a] : $true )
= sK21 ) )
= $false )
| ~ spl0_13 ),
inference(binary_proxy_clausification,[],[f636]) ).
thf(f632,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f631]) ).
thf(f631,plain,
( $false
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f630]) ).
thf(f630,plain,
( ( $true = $false )
| ~ spl0_12 ),
inference(boolean_simplification,[],[f629]) ).
thf(f629,plain,
( ( ( ( ( ^ [Y0: a] : $false )
= sK20 )
| $true )
= $false )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f622,f623]) ).
thf(f623,plain,
( ( $true
= ( ( ^ [Y0: a] : $true )
= sK20 ) )
| ~ spl0_12 ),
inference(binary_proxy_clausification,[],[f619]) ).
thf(f619,plain,
( ( $false
= ( ( ( ^ [Y0: a] : $true )
= sK20 )
=> ( ( ( ^ [Y0: a] : $false )
= sK20 )
| ( ( ^ [Y0: a] : $true )
= sK20 ) ) ) )
| ~ spl0_12 ),
inference(beta_eta_normalization,[],[f618]) ).
thf(f618,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] : $true )
= Y0 )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) )
@ sK20 ) )
| ~ spl0_12 ),
inference(sigma_clausification,[],[f574]) ).
thf(f574,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] : $true )
= Y0 )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f573]) ).
thf(f573,plain,
( spl0_12
<=> ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] : $true )
= Y0 )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
thf(f622,plain,
( ( $false
= ( ( ( ^ [Y0: a] : $false )
= sK20 )
| ( ( ^ [Y0: a] : $true )
= sK20 ) ) )
| ~ spl0_12 ),
inference(binary_proxy_clausification,[],[f619]) ).
thf(f578,plain,
( spl0_12
| spl0_13
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f571,f448,f576,f573]) ).
thf(f448,plain,
( spl0_6
<=> ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] : $true )
= Y0 )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f571,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] : $true )
= Y0 )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) ) )
| ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f449]) ).
thf(f449,plain,
( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] : $true )
= Y0 )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) ) )
= $false )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f448]) ).
thf(f568,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f567]) ).
thf(f567,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f561]) ).
thf(f561,plain,
( ( $false != $false )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f508,f558]) ).
thf(f558,plain,
( ! [X1: a] :
( $false
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(boolean_simplification,[],[f557]) ).
thf(f557,plain,
( ! [X1: a] :
( ( $false
& ( sK12 @ X1 ) )
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f556,f538]) ).
thf(f538,plain,
( ! [X1: a] :
( ( sK11 @ X1 )
= $false )
| ~ spl0_9
| ~ spl0_11 ),
inference(beta_eta_normalization,[],[f536]) ).
thf(f536,plain,
( ! [X1: a] :
( ( sK11 @ X1 )
= ( ^ [Y0: a] : $false
@ X1 ) )
| ~ spl0_9
| ~ spl0_11 ),
inference(argument_congruence,[],[f534]) ).
thf(f534,plain,
( ( sK11
= ( ^ [Y0: a] : $false ) )
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f497,f529]) ).
thf(f529,plain,
( ( sK14 = sK11 )
| ~ spl0_11 ),
inference(equality_proxy_clausification,[],[f525]) ).
thf(f525,plain,
( ( $true
= ( sK11 = sK14 ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f524]) ).
thf(f524,plain,
( spl0_11
<=> ( $true
= ( sK11 = sK14 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
thf(f497,plain,
( ( sK14
= ( ^ [Y0: a] : $false ) )
| ~ spl0_9 ),
inference(equality_proxy_clausification,[],[f493]) ).
thf(f493,plain,
( ( $true
= ( sK14
= ( ^ [Y0: a] : $false ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f492]) ).
thf(f492,plain,
( spl0_9
<=> ( $true
= ( sK14
= ( ^ [Y0: a] : $false ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f556,plain,
( ! [X1: a] :
( ( ( sK11 @ X1 )
& ( sK12 @ X1 ) )
= ( sK10 @ X1 ) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(beta_eta_normalization,[],[f555]) ).
thf(f555,plain,
( ! [X1: a] :
( ( sK10 @ X1 )
= ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK12 @ Y0 ) )
@ X1 ) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(argument_congruence,[],[f552]) ).
thf(f552,plain,
( ( sK10
= ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK12 @ Y0 ) ) ) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(equality_proxy_clausification,[],[f548]) ).
thf(f548,plain,
( ( $true
= ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK12 @ Y0 ) ) )
= sK10 ) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(boolean_simplification,[],[f547]) ).
thf(f547,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK12 @ Y0 ) ) )
= sK10 )
& $true ) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f531,f545]) ).
thf(f545,plain,
( ( $true
= ( ( ( ^ [Y0: a] : $true )
= sK12 )
| ( sK12 = sK11 ) ) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(binary_proxy_clausification,[],[f531]) ).
thf(f531,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK12 @ Y0 ) ) )
= sK10 )
& ( ( ( ^ [Y0: a] : $true )
= sK12 )
| ( sK12 = sK11 ) ) ) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f515,f529]) ).
thf(f515,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK12 @ Y0 ) ) )
= sK10 )
& ( ( ( ^ [Y0: a] : $true )
= sK12 )
| ( sK12 = sK14 ) ) ) )
| ~ spl0_7
| ~ spl0_9 ),
inference(boolean_simplification,[],[f514]) ).
thf(f514,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK12 @ Y0 ) ) )
= sK10 )
& $true
& ( ( ( ^ [Y0: a] : $true )
= sK12 )
| ( sK12 = sK14 ) ) ) )
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f499,f513]) ).
thf(f513,plain,
( ( $true
= ( ( sK11 = sK14 )
| ( ( ^ [Y0: a] : $true )
= sK11 ) ) )
| ~ spl0_7
| ~ spl0_9 ),
inference(boolean_simplification,[],[f512]) ).
thf(f512,plain,
( ( $true
= ( $true
& ( ( sK11 = sK14 )
| ( ( ^ [Y0: a] : $true )
= sK11 ) ) ) )
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f501,f511]) ).
thf(f511,plain,
( ( $true
= ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK14 @ Y0 ) ) )
= sK10 ) )
| ~ spl0_7
| ~ spl0_9 ),
inference(binary_proxy_clausification,[],[f501]) ).
thf(f501,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK14 @ Y0 ) ) )
= sK10 )
& ( ( sK11 = sK14 )
| ( ( ^ [Y0: a] : $true )
= sK11 ) ) ) )
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f482,f497]) ).
thf(f482,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK14 @ Y0 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y0: a] : $false ) )
| ( ( ^ [Y0: a] : $true )
= sK11 ) ) ) )
| ~ spl0_7 ),
inference(binary_proxy_clausification,[],[f477]) ).
thf(f477,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK14 @ Y0 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y0: a] : $false ) )
| ( ( ^ [Y0: a] : $true )
= sK11 ) )
& ( ( ( ^ [Y0: a] : $true )
= sK14 )
| ( sK14
= ( ^ [Y0: a] : $false ) ) ) ) )
| ~ spl0_7 ),
inference(not_proxy_clausification,[],[f476]) ).
thf(f476,plain,
( ( $false
= ( ~ ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK14 @ Y0 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y0: a] : $false ) )
| ( ( ^ [Y0: a] : $true )
= sK11 ) )
& ( ( ( ^ [Y0: a] : $true )
= sK14 )
| ( sK14
= ( ^ [Y0: a] : $false ) ) ) ) ) )
| ~ spl0_7 ),
inference(beta_eta_normalization,[],[f475]) ).
thf(f475,plain,
( ( $false
= ( ^ [Y0: a > $o] :
~ ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y1: a] : $false ) )
| ( ( ^ [Y1: a] : $true )
= sK11 ) )
& ( ( ( ^ [Y1: a] : $true )
= Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
@ sK14 ) )
| ~ spl0_7 ),
inference(sigma_clausification,[],[f467]) ).
thf(f467,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
~ ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y1: a] : $false ) )
| ( ( ^ [Y1: a] : $true )
= sK11 ) )
& ( ( ( ^ [Y1: a] : $true )
= Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) ) ) )
| ~ spl0_7 ),
inference(boolean_simplification,[],[f466]) ).
thf(f466,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y1: a] : $false ) )
| ( ( ^ [Y1: a] : $true )
= sK11 ) )
& ( ( ( ^ [Y1: a] : $true )
= Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
=> $false ) )
= $false )
| ~ spl0_7 ),
inference(backward_demodulation,[],[f459,f465]) ).
thf(f465,plain,
( ( ( ( sK10
= ( ^ [Y0: a] : $true ) )
| ( sK10
= ( ^ [Y0: a] : $false ) ) )
= $false )
| ~ spl0_7 ),
inference(boolean_simplification,[],[f464]) ).
thf(f464,plain,
( ( ( $true
=> ( ( sK10
= ( ^ [Y0: a] : $true ) )
| ( sK10
= ( ^ [Y0: a] : $false ) ) ) )
= $false )
| ~ spl0_7 ),
inference(backward_demodulation,[],[f461,f463]) ).
thf(f463,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK12 @ Y0 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y0: a] : $false ) )
| ( ( ^ [Y0: a] : $true )
= sK11 ) )
& ( ( ( ^ [Y0: a] : $true )
= sK12 )
| ( sK12
= ( ^ [Y0: a] : $false ) ) ) ) )
| ~ spl0_7 ),
inference(binary_proxy_clausification,[],[f461]) ).
thf(f461,plain,
( ( ( ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK12 @ Y0 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y0: a] : $false ) )
| ( ( ^ [Y0: a] : $true )
= sK11 ) )
& ( ( ( ^ [Y0: a] : $true )
= sK12 )
| ( sK12
= ( ^ [Y0: a] : $false ) ) ) )
=> ( ( sK10
= ( ^ [Y0: a] : $true ) )
| ( sK10
= ( ^ [Y0: a] : $false ) ) ) )
= $false )
| ~ spl0_7 ),
inference(beta_eta_normalization,[],[f460]) ).
thf(f460,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y1: a] : $false ) )
| ( ( ^ [Y1: a] : $true )
= sK11 ) )
& ( ( ( ^ [Y1: a] : $true )
= Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
=> ( ( sK10
= ( ^ [Y1: a] : $true ) )
| ( sK10
= ( ^ [Y1: a] : $false ) ) ) )
@ sK12 ) )
| ~ spl0_7 ),
inference(sigma_clausification,[],[f459]) ).
thf(f459,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ( ^ [Y1: a] :
( ( sK11 @ Y1 )
& ( Y0 @ Y1 ) ) )
= sK10 )
& ( ( sK11
= ( ^ [Y1: a] : $false ) )
| ( ( ^ [Y1: a] : $true )
= sK11 ) )
& ( ( ( ^ [Y1: a] : $true )
= Y0 )
| ( Y0
= ( ^ [Y1: a] : $false ) ) ) )
=> ( ( sK10
= ( ^ [Y1: a] : $true ) )
| ( sK10
= ( ^ [Y1: a] : $false ) ) ) ) ) )
| ~ spl0_7 ),
inference(beta_eta_normalization,[],[f458]) ).
thf(f458,plain,
( ( ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ( ^ [Y2: a] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) )
= sK10 )
& ( ( Y0
= ( ^ [Y2: a] : $false ) )
| ( ( ^ [Y2: a] : $true )
= Y0 ) )
& ( ( ( ^ [Y2: a] : $true )
= Y1 )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) )
=> ( ( sK10
= ( ^ [Y2: a] : $true ) )
| ( sK10
= ( ^ [Y2: a] : $false ) ) ) ) )
@ sK11 )
= $false )
| ~ spl0_7 ),
inference(sigma_clausification,[],[f457]) ).
thf(f457,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ( ^ [Y2: a] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) )
= sK10 )
& ( ( Y0
= ( ^ [Y2: a] : $false ) )
| ( ( ^ [Y2: a] : $true )
= Y0 ) )
& ( ( ( ^ [Y2: a] : $true )
= Y1 )
| ( Y1
= ( ^ [Y2: a] : $false ) ) ) )
=> ( ( sK10
= ( ^ [Y2: a] : $true ) )
| ( sK10
= ( ^ [Y2: a] : $false ) ) ) ) ) )
= $false )
| ~ spl0_7 ),
inference(beta_eta_normalization,[],[f456]) ).
thf(f456,plain,
( ( ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y2 @ Y3 ) ) )
= Y0 )
& ( ( Y1
= ( ^ [Y3: a] : $false ) )
| ( ( ^ [Y3: a] : $true )
= Y1 ) )
& ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y0
= ( ^ [Y3: a] : $true ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) ) ) )
@ sK10 )
= $false )
| ~ spl0_7 ),
inference(sigma_clausification,[],[f452]) ).
thf(f499,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ( sK11 @ Y0 )
& ( sK12 @ Y0 ) ) )
= sK10 )
& ( ( sK11 = sK14 )
| ( ( ^ [Y0: a] : $true )
= sK11 ) )
& ( ( ( ^ [Y0: a] : $true )
= sK12 )
| ( sK12 = sK14 ) ) ) )
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f463,f497]) ).
thf(f508,plain,
( ( ( sK10 @ sK16 )
!= $false )
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f507,f506]) ).
thf(f506,plain,
( ! [X1: a] :
( $false
= ( sK14 @ X1 ) )
| ~ spl0_9 ),
inference(beta_eta_normalization,[],[f504]) ).
thf(f504,plain,
( ! [X1: a] :
( ( sK14 @ X1 )
= ( ^ [Y0: a] : $false
@ X1 ) )
| ~ spl0_9 ),
inference(argument_congruence,[],[f497]) ).
thf(f507,plain,
( ( ( sK10 @ sK16 )
!= ( sK14 @ sK16 ) )
| ~ spl0_7
| ~ spl0_9 ),
inference(negative_extensionality,[],[f505]) ).
thf(f505,plain,
( ( sK14 != sK10 )
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f480,f497]) ).
thf(f480,plain,
( ( sK10
!= ( ^ [Y0: a] : $false ) )
| ~ spl0_7 ),
inference(equality_proxy_clausification,[],[f468]) ).
thf(f468,plain,
( ( ( sK10
= ( ^ [Y0: a] : $false ) )
= $false )
| ~ spl0_7 ),
inference(binary_proxy_clausification,[],[f465]) ).
thf(f526,plain,
( spl0_10
| spl0_11
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f519,f492,f451,f524,f521]) ).
thf(f519,plain,
( ( $true
= ( ( ^ [Y0: a] : $true )
= sK11 ) )
| ( $true
= ( sK11 = sK14 ) )
| ~ spl0_7
| ~ spl0_9 ),
inference(binary_proxy_clausification,[],[f513]) ).
thf(f494,plain,
( spl0_8
| spl0_9
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f487,f451,f492,f489]) ).
thf(f487,plain,
( ( $true
= ( sK14
= ( ^ [Y0: a] : $false ) ) )
| ( $true
= ( ( ^ [Y0: a] : $true )
= sK14 ) )
| ~ spl0_7 ),
inference(binary_proxy_clausification,[],[f484]) ).
thf(f484,plain,
( ( $true
= ( ( ( ^ [Y0: a] : $true )
= sK14 )
| ( sK14
= ( ^ [Y0: a] : $false ) ) ) )
| ~ spl0_7 ),
inference(boolean_simplification,[],[f483]) ).
thf(f483,plain,
( ( $true
= ( $true
& ( ( ( ^ [Y0: a] : $true )
= sK14 )
| ( sK14
= ( ^ [Y0: a] : $false ) ) ) ) )
| ~ spl0_7 ),
inference(backward_demodulation,[],[f477,f482]) ).
thf(f453,plain,
( spl0_6
| spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f446,f13,f451,f448]) ).
thf(f13,plain,
( spl0_1
<=> ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] : $true )
= Y0 )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y2 @ Y3 ) ) )
= Y0 )
& ( ( Y1
= ( ^ [Y3: a] : $false ) )
| ( ( ^ [Y3: a] : $true )
= Y1 ) )
& ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y0
= ( ^ [Y3: a] : $true ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f446,plain,
( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] : $true )
= Y0 )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) ) )
= $false )
| ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y2 @ Y3 ) ) )
= Y0 )
& ( ( Y1
= ( ^ [Y3: a] : $false ) )
| ( ( ^ [Y3: a] : $true )
= Y1 ) )
& ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y0
= ( ^ [Y3: a] : $true ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f14]) ).
thf(f14,plain,
( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] : $true )
= Y0 )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y2 @ Y3 ) ) )
= Y0 )
& ( ( Y1
= ( ^ [Y3: a] : $false ) )
| ( ( ^ [Y3: a] : $true )
= Y1 ) )
& ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y0
= ( ^ [Y3: a] : $true ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f13]) ).
thf(f443,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f442]) ).
thf(f442,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f441]) ).
thf(f441,plain,
( ( $false != $false )
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f37,f424]) ).
thf(f424,plain,
( ! [X0: a] :
( ( sK2 @ X0 )
= $false )
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f423]) ).
thf(f423,plain,
( ! [X0: a] :
( ( ( sK2 @ X0 )
= $false )
| ( $true = $false ) )
| ~ spl0_2
| ~ spl0_4 ),
inference(boolean_simplification,[],[f422]) ).
thf(f422,plain,
( ! [X0: a] :
( ( $true
= ( ( sK5
@ ^ [Y0: a] : $false )
& $false ) )
| ( ( sK2 @ X0 )
= $false ) )
| ~ spl0_2
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f421]) ).
thf(f421,plain,
( ! [X0: a] :
( ( $true
= ( ( sK5
@ ^ [Y0: a] : $false )
& ( ^ [Y0: a] : $false
@ X0 ) ) )
| ( ( sK2 @ X0 )
= $false ) )
| ~ spl0_2
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f417]) ).
thf(f417,plain,
( ! [X0: a] :
( ( $true
= ( ( sK5
@ ^ [Y0: a] : $false )
& ( ^ [Y0: a] : $false
@ X0 ) ) )
| ( ( sK2 @ X0 )
= $false )
| ( ( sK2 @ X0 )
= $false ) )
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f170,f300]) ).
thf(f300,plain,
( ! [X0: a] :
( ( ( sK7 @ X0 )
= ( ^ [Y0: a] : $false ) )
| ( ( sK2 @ X0 )
= $false ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f299]) ).
thf(f299,plain,
( spl0_4
<=> ! [X0: a] :
( ( ( sK2 @ X0 )
= $false )
| ( ( sK7 @ X0 )
= ( ^ [Y0: a] : $false ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f170,plain,
( ! [X1: a] :
( ( $true
= ( ( sK5 @ ( sK7 @ X1 ) )
& ( sK7 @ X1 @ X1 ) ) )
| ( ( sK2 @ X1 )
= $false ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f164]) ).
thf(f164,plain,
( ! [X1: a] :
( ( $true
= ( ^ [Y0: a > $o] :
( ( sK5 @ Y0 )
& ( Y0 @ X1 ) )
@ ( sK7 @ X1 ) ) )
| ( ( sK2 @ X1 )
= $false ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f72]) ).
thf(f72,plain,
( ! [X1: a] :
( ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK5 @ Y0 )
& ( Y0 @ X1 ) ) ) )
| ( ( sK2 @ X1 )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f70]) ).
thf(f70,plain,
( ! [X1: a] :
( ( sK2 @ X1 )
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK5 @ Y0 )
& ( Y0 @ X1 ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f69]) ).
thf(f69,plain,
( ! [X1: a] :
( ( sK2 @ X1 )
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) )
@ X1 ) )
| ~ spl0_2 ),
inference(argument_congruence,[],[f64]) ).
thf(f64,plain,
( ( sK2
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f45]) ).
thf(f45,plain,
( ( $true
= ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= sK2 ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f40]) ).
thf(f40,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= sK2 )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK5 @ Y0 )
=> ( ( ( ^ [Y1: a] : $true )
= Y0 )
| ( ( ^ [Y1: a] : $false )
= Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(not_proxy_clausification,[],[f39]) ).
thf(f39,plain,
( ( ( ~ ( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= sK2 )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK5 @ Y0 )
=> ( ( ( ^ [Y1: a] : $true )
= Y0 )
| ( ( ^ [Y1: a] : $false )
= Y0 ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f38]) ).
thf(f38,plain,
( ( $false
= ( ^ [Y0: ( a > $o ) > $o] :
~ ( ( ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
& ( Y2 @ Y1 ) ) ) )
= sK2 )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ( ( ^ [Y2: a] : $true )
= Y1 )
| ( ( ^ [Y2: a] : $false )
= Y1 ) ) ) ) )
@ sK5 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f30]) ).
thf(f30,plain,
( ( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
~ ( ( ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
& ( Y2 @ Y1 ) ) ) )
= sK2 )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ( ( ^ [Y2: a] : $true )
= Y1 )
| ( ( ^ [Y2: a] : $false )
= Y1 ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f29]) ).
thf(f29,plain,
( ( ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
& ( Y2 @ Y1 ) ) ) )
= sK2 )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ( ( ^ [Y2: a] : $true )
= Y1 )
| ( ( ^ [Y2: a] : $false )
= Y1 ) ) ) ) )
=> $false ) )
= $false )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f22,f28]) ).
thf(f28,plain,
( ( ( ( ( ^ [Y0: a] : $true )
= sK2 )
| ( ( ^ [Y0: a] : $false )
= sK2 ) )
= $false )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f27]) ).
thf(f27,plain,
( ( $false
= ( $true
=> ( ( ( ^ [Y0: a] : $true )
= sK2 )
| ( ( ^ [Y0: a] : $false )
= sK2 ) ) ) )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f24,f26]) ).
thf(f26,plain,
( ( $true
= ( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK3 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= sK2 )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK3 @ Y0 )
=> ( ( ( ^ [Y1: a] : $true )
= Y0 )
| ( ( ^ [Y1: a] : $false )
= Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f24]) ).
thf(f24,plain,
( ( ( ( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK3 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= sK2 )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK3 @ Y0 )
=> ( ( ( ^ [Y1: a] : $true )
= Y0 )
| ( ( ^ [Y1: a] : $false )
= Y0 ) ) ) ) )
=> ( ( ( ^ [Y0: a] : $true )
= sK2 )
| ( ( ^ [Y0: a] : $false )
= sK2 ) ) )
= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f23]) ).
thf(f23,plain,
( ( ( ^ [Y0: ( a > $o ) > $o] :
( ( ( ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
& ( Y2 @ Y1 ) ) ) )
= sK2 )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ( ( ^ [Y2: a] : $true )
= Y1 )
| ( ( ^ [Y2: a] : $false )
= Y1 ) ) ) ) )
=> ( ( ( ^ [Y1: a] : $true )
= sK2 )
| ( ( ^ [Y1: a] : $false )
= sK2 ) ) )
@ sK3 )
= $false )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f22]) ).
thf(f22,plain,
( ( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
& ( Y2 @ Y1 ) ) ) )
= sK2 )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ( ( ^ [Y2: a] : $true )
= Y1 )
| ( ( ^ [Y2: a] : $false )
= Y1 ) ) ) ) )
=> ( ( ( ^ [Y1: a] : $true )
= sK2 )
| ( ( ^ [Y1: a] : $false )
= sK2 ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f21]) ).
thf(f21,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( ( ^ [Y2: a] :
( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y1 @ Y3 )
& ( Y3 @ Y2 ) ) ) )
= Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( ( ^ [Y3: a] : $false )
= Y2 ) ) ) ) )
=> ( ( ( ^ [Y2: a] : $true )
= Y0 )
| ( ( ^ [Y2: a] : $false )
= Y0 ) ) ) )
@ sK2 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f17]) ).
thf(f17,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( ( ^ [Y2: a] :
( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y1 @ Y3 )
& ( Y3 @ Y2 ) ) ) )
= Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( ( ^ [Y3: a] : $false )
= Y2 ) ) ) ) )
=> ( ( ( ^ [Y2: a] : $true )
= Y0 )
| ( ( ^ [Y2: a] : $false )
= Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
thf(f16,plain,
( spl0_2
<=> ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( ( ^ [Y2: a] :
( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y1 @ Y3 )
& ( Y3 @ Y2 ) ) ) )
= Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( ( ^ [Y3: a] : $false )
= Y2 ) ) ) ) )
=> ( ( ( ^ [Y2: a] : $true )
= Y0 )
| ( ( ^ [Y2: a] : $false )
= Y0 ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f37,plain,
( ( ( sK2 @ sK4 )
!= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f36]) ).
thf(f36,plain,
( ( ( sK2 @ sK4 )
!= ( ^ [Y0: a] : $false
@ sK4 ) )
| ~ spl0_2 ),
inference(negative_extensionality,[],[f35]) ).
thf(f35,plain,
( ( sK2
!= ( ^ [Y0: a] : $false ) )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f34]) ).
thf(f34,plain,
( ( $false
= ( ( ^ [Y0: a] : $false )
= sK2 ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f33]) ).
thf(f33,plain,
( ( ( $false
| ( ( ^ [Y0: a] : $false )
= sK2 ) )
= $false )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f28,f32]) ).
thf(f32,plain,
( ( $false
= ( ( ^ [Y0: a] : $true )
= sK2 ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f28]) ).
thf(f353,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f352]) ).
thf(f352,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f347]) ).
thf(f347,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f324,f116]) ).
thf(f116,plain,
( ( $false
= ( sK2 @ sK6 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f114]) ).
thf(f114,plain,
( ( $false
= ( sK2 @ sK6 ) )
| ( $true != $true )
| ~ spl0_2 ),
inference(superposition,[],[f49,f102]) ).
thf(f102,plain,
( ! [X0: a] :
( ( $true
= ( sK2 @ X0 ) )
| ( ( sK2 @ X0 )
= $false ) )
| ~ spl0_2 ),
inference(superposition,[],[f70,f71]) ).
thf(f71,plain,
( ! [X1: a] :
( ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK5 @ Y0 )
& ( Y0 @ X1 ) ) )
= $false )
| ( $true
= ( sK2 @ X1 ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f70]) ).
thf(f49,plain,
( ( $true
!= ( sK2 @ sK6 ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f48]) ).
thf(f48,plain,
( ( ( ^ [Y0: a] : $true
@ sK6 )
!= ( sK2 @ sK6 ) )
| ~ spl0_2 ),
inference(negative_extensionality,[],[f43]) ).
thf(f43,plain,
( ( sK2
!= ( ^ [Y0: a] : $true ) )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f32]) ).
thf(f324,plain,
( ! [X0: a] :
( $true
= ( sK2 @ X0 ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f323]) ).
thf(f323,plain,
( ! [X0: a] :
( ( $true
= ( sK2 @ X0 ) )
| ( $true = $false ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f322]) ).
thf(f322,plain,
( ! [X0: a] :
( ( $false
= ( ^ [Y0: a] : $true
@ X0 ) )
| ( $true
= ( sK2 @ X0 ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f310]) ).
thf(f310,plain,
( ! [X0: a] :
( ( $false
= ( ^ [Y0: a] : $true
@ X0 ) )
| ( $true
= ( sK2 @ X0 ) )
| ( $true = $false ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f135,f297]) ).
thf(f297,plain,
( ( $true
= ( sK5
@ ^ [Y0: a] : $true ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f296]) ).
thf(f296,plain,
( spl0_3
<=> ( $true
= ( sK5
@ ^ [Y0: a] : $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f135,plain,
( ! [X2: a > $o,X1: a] :
( ( $false
= ( sK5 @ X2 ) )
| ( $true
= ( sK2 @ X1 ) )
| ( ( X2 @ X1 )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f103]) ).
thf(f103,plain,
( ! [X2: a > $o,X1: a] :
( ( $false
= ( ( sK5 @ X2 )
& ( X2 @ X1 ) ) )
| ( $true
= ( sK2 @ X1 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f100]) ).
thf(f100,plain,
( ! [X2: a > $o,X1: a] :
( ( $true
= ( sK2 @ X1 ) )
| ( ( ^ [Y0: a > $o] :
( ( sK5 @ Y0 )
& ( Y0 @ X1 ) )
@ X2 )
= $false ) )
| ~ spl0_2 ),
inference(pi_clausification,[],[f71]) ).
thf(f306,plain,
( spl0_4
| spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f292,f16,f296,f299]) ).
thf(f292,plain,
( ! [X0: a] :
( ( ( sK2 @ X0 )
= $false )
| ( $true
= ( sK5
@ ^ [Y0: a] : $true ) )
| ( ( sK7 @ X0 )
= ( ^ [Y0: a] : $false ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f291]) ).
thf(f291,plain,
( ! [X0: a] :
( ( ( sK2 @ X0 )
= $false )
| ( $true
= ( ( sK5
@ ^ [Y0: a] : $true )
& $true ) )
| ( ( sK7 @ X0 )
= ( ^ [Y0: a] : $false ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f290]) ).
thf(f290,plain,
( ! [X0: a] :
( ( ( sK2 @ X0 )
= $false )
| ( $true
= ( ( sK5
@ ^ [Y0: a] : $true )
& ( ^ [Y0: a] : $true
@ X0 ) ) )
| ( ( sK7 @ X0 )
= ( ^ [Y0: a] : $false ) ) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f287]) ).
thf(f287,plain,
( ! [X0: a] :
( ( ( sK2 @ X0 )
= $false )
| ( ( sK2 @ X0 )
= $false )
| ( $true
= ( ( sK5
@ ^ [Y0: a] : $true )
& ( ^ [Y0: a] : $true
@ X0 ) ) )
| ( ( sK7 @ X0 )
= ( ^ [Y0: a] : $false ) ) )
| ~ spl0_2 ),
inference(superposition,[],[f170,f194]) ).
thf(f194,plain,
( ! [X0: a] :
( ( ( ^ [Y0: a] : $true )
= ( sK7 @ X0 ) )
| ( ( sK7 @ X0 )
= ( ^ [Y0: a] : $false ) )
| ( ( sK2 @ X0 )
= $false ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f193]) ).
thf(f193,plain,
( ! [X0: a] :
( ( ( sK7 @ X0 )
= ( ^ [Y0: a] : $false ) )
| ( ( ^ [Y0: a] : $true )
= ( sK7 @ X0 ) )
| ( $true = $false )
| ( ( sK2 @ X0 )
= $false ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f187]) ).
thf(f187,plain,
( ! [X0: a] :
( ( ( sK7 @ X0 )
= ( ^ [Y0: a] : $false ) )
| ( ( sK2 @ X0 )
= $false )
| ( $true
= ( $false
& ( sK7 @ X0 @ X0 ) ) )
| ( ( ^ [Y0: a] : $true )
= ( sK7 @ X0 ) ) )
| ~ spl0_2 ),
inference(superposition,[],[f170,f142]) ).
thf(f142,plain,
( ! [X1: a > $o] :
( ( ( sK5 @ X1 )
= $false )
| ( ( ^ [Y0: a] : $true )
= X1 )
| ( ( ^ [Y0: a] : $false )
= X1 ) )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f121]) ).
thf(f121,plain,
( ! [X1: a > $o] :
( ( $true
= ( ( ^ [Y0: a] : $false )
= X1 ) )
| ( ( ^ [Y0: a] : $true )
= X1 )
| ( ( sK5 @ X1 )
= $false ) )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f104]) ).
thf(f104,plain,
( ! [X1: a > $o] :
( ( $true
= ( ( ^ [Y0: a] : $true )
= X1 ) )
| ( $true
= ( ( ^ [Y0: a] : $false )
= X1 ) )
| ( ( sK5 @ X1 )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f52]) ).
thf(f52,plain,
( ! [X1: a > $o] :
( ( $true
= ( ( ( ^ [Y0: a] : $true )
= X1 )
| ( ( ^ [Y0: a] : $false )
= X1 ) ) )
| ( ( sK5 @ X1 )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f51]) ).
thf(f51,plain,
( ! [X1: a > $o] :
( $true
= ( ( sK5 @ X1 )
=> ( ( ( ^ [Y0: a] : $true )
= X1 )
| ( ( ^ [Y0: a] : $false )
= X1 ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f50]) ).
thf(f50,plain,
( ! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( sK5 @ Y0 )
=> ( ( ( ^ [Y1: a] : $true )
= Y0 )
| ( ( ^ [Y1: a] : $false )
= Y0 ) ) )
@ X1 ) )
| ~ spl0_2 ),
inference(pi_clausification,[],[f47]) ).
thf(f47,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK5 @ Y0 )
=> ( ( ( ^ [Y1: a] : $true )
= Y0 )
| ( ( ^ [Y1: a] : $false )
= Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(boolean_simplification,[],[f46]) ).
thf(f46,plain,
( ( $true
= ( $true
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK5 @ Y0 )
=> ( ( ( ^ [Y1: a] : $true )
= Y0 )
| ( ( ^ [Y1: a] : $false )
= Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f40,f45]) ).
thf(f18,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f16,f13]) ).
thf(f11,plain,
( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] : $true )
= Y0 )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y2 @ Y3 ) ) )
= Y0 )
& ( ( Y1
= ( ^ [Y3: a] : $false ) )
| ( ( ^ [Y3: a] : $true )
= Y1 ) )
& ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y0
= ( ^ [Y3: a] : $true ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) ) ) ) ) )
= $false )
| ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( ( ^ [Y2: a] :
( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y1 @ Y3 )
& ( Y3 @ Y2 ) ) ) )
= Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( ( ^ [Y3: a] : $false )
= Y2 ) ) ) ) )
=> ( ( ( ^ [Y2: a] : $true )
= Y0 )
| ( ( ^ [Y2: a] : $false )
= Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f8]) ).
thf(f8,plain,
( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] : $true )
= Y0 )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y2 @ Y3 ) ) )
= Y0 )
& ( ( Y1
= ( ^ [Y3: a] : $false ) )
| ( ( ^ [Y3: a] : $true )
= Y1 ) )
& ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y0
= ( ^ [Y3: a] : $true ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( ( ^ [Y2: a] :
( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y1 @ Y3 )
& ( Y3 @ Y2 ) ) ) )
= Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( ( ^ [Y3: a] : $false )
= Y2 ) ) ) ) )
=> ( ( ( ^ [Y2: a] : $true )
= Y0 )
| ( ( ^ [Y2: a] : $false )
= Y0 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f7]) ).
thf(f7,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] : $true )
= Y0 )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : $true )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y2 @ Y3 ) ) )
= Y0 )
& ( ( Y1
= ( ^ [Y3: a] : $false ) )
| ( ( ^ [Y3: a] : $true )
= Y1 ) )
& ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y0
= ( ^ [Y3: a] : $true ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( ( ^ [Y2: a] :
( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y1 @ Y3 )
& ( Y3 @ Y2 ) ) ) )
= Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( ( ( ^ [Y3: a] : $true )
= Y2 )
| ( ( ^ [Y3: a] : $false )
= Y2 ) ) ) ) )
=> ( ( ( ^ [Y2: a] : $true )
= Y0 )
| ( ( ^ [Y2: a] : $false )
= Y0 ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : ~ $false )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] : ~ $false )
= Y0 )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : ~ $false )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y2 @ Y3 ) ) )
= Y0 )
& ( ( Y1
= ( ^ [Y3: a] : $false ) )
| ( ( ^ [Y3: a] : ~ $false )
= Y1 ) )
& ( ( ( ^ [Y3: a] : ~ $false )
= Y2 )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y0
= ( ^ [Y3: a] : ~ $false ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( ( ^ [Y2: a] :
( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y1 @ Y3 )
& ( Y3 @ Y2 ) ) ) )
= Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( ( ( ^ [Y3: a] : ~ $false )
= Y2 )
| ( ( ^ [Y3: a] : $false )
= Y2 ) ) ) ) )
=> ( ( ( ^ [Y2: a] : ~ $false )
= Y0 )
| ( ( ^ [Y2: a] : $false )
= Y0 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
= ( ^ [Y1: a] : $false ) )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : ~ $false )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ^ [Y1: a] : ~ $false )
= Y0 )
=> ( ( ( ^ [Y1: a] : $false )
= Y0 )
| ( ( ^ [Y1: a] : ~ $false )
= Y0 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( ( ^ [Y3: a] :
( ( Y1 @ Y3 )
& ( Y2 @ Y3 ) ) )
= Y0 )
& ( ( Y1
= ( ^ [Y3: a] : $false ) )
| ( ( ^ [Y3: a] : ~ $false )
= Y1 ) )
& ( ( ( ^ [Y3: a] : ~ $false )
= Y2 )
| ( Y2
= ( ^ [Y3: a] : $false ) ) ) )
=> ( ( Y0
= ( ^ [Y3: a] : ~ $false ) )
| ( Y0
= ( ^ [Y3: a] : $false ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( ( a > $o ) > $o )
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( ( ^ [Y2: a] :
( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y1 @ Y3 )
& ( Y3 @ Y2 ) ) ) )
= Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( ( ( ^ [Y3: a] : ~ $false )
= Y2 )
| ( ( ^ [Y3: a] : $false )
= Y2 ) ) ) ) )
=> ( ( ( ^ [Y2: a] : ~ $false )
= Y0 )
| ( ( ^ [Y2: a] : $false )
= Y0 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ! [X0: ( a > $o ) > $o,X1: a > $o] :
( ( ! [X2: a > $o] :
( ( X0 @ X2 )
=> ( ( ( ^ [X3: a] : $false )
= X2 )
| ( ( ^ [X4: a] : ~ $false )
= X2 ) ) )
& ( ( ^ [X5: a] :
? [X6: a > $o] :
( ( X6 @ X5 )
& ( X0 @ X6 ) ) )
= X1 ) )
=> ( ( ( ^ [X7: a] : $false )
= X1 )
| ( ( ^ [X8: a] : ~ $false )
= X1 ) ) )
& ! [X9: a > $o,X10: a > $o,X11: a > $o] :
( ( ( ( X9
= ( ^ [X12: a] : $false ) )
| ( ( ^ [X13: a] : ~ $false )
= X9 ) )
& ( ( ( ^ [X14: a] : ~ $false )
= X10 )
| ( X10
= ( ^ [X15: a] : $false ) ) )
& ( ( ^ [X16: a] :
( ( X9 @ X16 )
& ( X10 @ X16 ) ) )
= X11 ) )
=> ( ( X11
= ( ^ [X17: a] : $false ) )
| ( X11
= ( ^ [X18: a] : ~ $false ) ) ) )
& ! [X19: a > $o] :
( ( ( ^ [X20: a] : ~ $false )
= X19 )
=> ( ( ( ^ [X21: a] : ~ $false )
= X19 )
| ( ( ^ [X22: a] : $false )
= X19 ) ) )
& ! [X23: a > $o] :
( ( X23
= ( ^ [X24: a] : $false ) )
=> ( ( ( ^ [X25: a] : ~ $false )
= X23 )
| ( ( ^ [X26: a] : $false )
= X23 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X3: ( a > $o ) > $o,X0: a > $o] :
( ( ! [X1: a > $o] :
( ( X3 @ X1 )
=> ( ( ( ^ [X2: a] : $false )
= X1 )
| ( ( ^ [X2: a] : ~ $false )
= X1 ) ) )
& ( ( ^ [X1: a] :
? [X4: a > $o] :
( ( X4 @ X1 )
& ( X3 @ X4 ) ) )
= X0 ) )
=> ( ( ( ^ [X2: a] : $false )
= X0 )
| ( ( ^ [X2: a] : ~ $false )
= X0 ) ) )
& ! [X6: a > $o,X5: a > $o,X4: a > $o] :
( ( ( ( X6
= ( ^ [X2: a] : $false ) )
| ( ( ^ [X2: a] : ~ $false )
= X6 ) )
& ( ( ( ^ [X2: a] : ~ $false )
= X5 )
| ( X5
= ( ^ [X2: a] : $false ) ) )
& ( ( ^ [X1: a] :
( ( X6 @ X1 )
& ( X5 @ X1 ) ) )
= X4 ) )
=> ( ( X4
= ( ^ [X2: a] : $false ) )
| ( X4
= ( ^ [X2: a] : ~ $false ) ) ) )
& ! [X0: a > $o] :
( ( ( ^ [X1: a] : ~ $false )
= X0 )
=> ( ( ( ^ [X2: a] : ~ $false )
= X0 )
| ( ( ^ [X2: a] : $false )
= X0 ) ) )
& ! [X0: a > $o] :
( ( X0
= ( ^ [X1: a] : $false ) )
=> ( ( ( ^ [X2: a] : ~ $false )
= X0 )
| ( ( ^ [X2: a] : $false )
= X0 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ! [X3: ( a > $o ) > $o,X0: a > $o] :
( ( ! [X1: a > $o] :
( ( X3 @ X1 )
=> ( ( ( ^ [X2: a] : $false )
= X1 )
| ( ( ^ [X2: a] : ~ $false )
= X1 ) ) )
& ( ( ^ [X1: a] :
? [X4: a > $o] :
( ( X4 @ X1 )
& ( X3 @ X4 ) ) )
= X0 ) )
=> ( ( ( ^ [X2: a] : $false )
= X0 )
| ( ( ^ [X2: a] : ~ $false )
= X0 ) ) )
& ! [X6: a > $o,X5: a > $o,X4: a > $o] :
( ( ( ( X6
= ( ^ [X2: a] : $false ) )
| ( ( ^ [X2: a] : ~ $false )
= X6 ) )
& ( ( ( ^ [X2: a] : ~ $false )
= X5 )
| ( X5
= ( ^ [X2: a] : $false ) ) )
& ( ( ^ [X1: a] :
( ( X6 @ X1 )
& ( X5 @ X1 ) ) )
= X4 ) )
=> ( ( X4
= ( ^ [X2: a] : $false ) )
| ( X4
= ( ^ [X2: a] : ~ $false ) ) ) )
& ! [X0: a > $o] :
( ( ( ^ [X1: a] : ~ $false )
= X0 )
=> ( ( ( ^ [X2: a] : ~ $false )
= X0 )
| ( ( ^ [X2: a] : $false )
= X0 ) ) )
& ! [X0: a > $o] :
( ( X0
= ( ^ [X1: a] : $false ) )
=> ( ( ( ^ [X2: a] : ~ $false )
= X0 )
| ( ( ^ [X2: a] : $false )
= X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cINDISCRETE_TOPOLOGY_pme) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV261^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14 % 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
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 19:20:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 % (21089)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.20/0.37 % (21089)Refutation not found, incomplete strategy
% 0.20/0.37 % (21089)------------------------------
% 0.20/0.37 % (21089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (21089)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.37
% 0.20/0.37
% 0.20/0.37 % (21089)Memory used [KB]: 5500
% 0.20/0.37 % (21089)Time elapsed: 0.003 s
% 0.20/0.37 % (21089)Instructions burned: 3 (million)
% 0.20/0.37 % (21089)------------------------------
% 0.20/0.37 % (21089)------------------------------
% 0.20/0.37 % (21084)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.20/0.37 % (21086)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.20/0.37 % (21087)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.37 % (21088)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.37 % (21085)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.20/0.37 % (21090)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.20/0.37 % (21087)Instruction limit reached!
% 0.20/0.37 % (21087)------------------------------
% 0.20/0.37 % (21087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (21087)Termination reason: Unknown
% 0.20/0.37 % (21087)Termination phase: Preprocessing 3
% 0.20/0.37 % (21088)Instruction limit reached!
% 0.20/0.37 % (21088)------------------------------
% 0.20/0.37 % (21088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (21088)Termination reason: Unknown
% 0.20/0.37 % (21088)Termination phase: Property scanning
% 0.20/0.37
% 0.20/0.37 % (21088)Memory used [KB]: 895
% 0.20/0.37 % (21088)Time elapsed: 0.002 s
% 0.20/0.37 % (21088)Instructions burned: 2 (million)
% 0.20/0.37 % (21088)------------------------------
% 0.20/0.37 % (21088)------------------------------
% 0.20/0.37
% 0.20/0.37 % (21087)Memory used [KB]: 1023
% 0.20/0.37 % (21087)Time elapsed: 0.002 s
% 0.20/0.37 % (21087)Instructions burned: 2 (million)
% 0.20/0.37 % (21087)------------------------------
% 0.20/0.37 % (21087)------------------------------
% 0.20/0.37 % (21085)Instruction limit reached!
% 0.20/0.37 % (21085)------------------------------
% 0.20/0.37 % (21085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (21085)Termination reason: Unknown
% 0.20/0.37 % (21085)Termination phase: Saturation
% 0.20/0.37
% 0.20/0.37 % (21085)Memory used [KB]: 5500
% 0.20/0.37 % (21085)Time elapsed: 0.004 s
% 0.20/0.37 % (21085)Instructions burned: 4 (million)
% 0.20/0.37 % (21085)------------------------------
% 0.20/0.37 % (21085)------------------------------
% 0.20/0.37 % (21091)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.20/0.37 % (21091)Instruction limit reached!
% 0.20/0.37 % (21091)------------------------------
% 0.20/0.37 % (21091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (21091)Termination reason: Unknown
% 0.20/0.38 % (21091)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (21091)Memory used [KB]: 5500
% 0.20/0.38 % (21091)Time elapsed: 0.003 s
% 0.20/0.38 % (21091)Instructions burned: 3 (million)
% 0.20/0.38 % (21091)------------------------------
% 0.20/0.38 % (21091)------------------------------
% 0.20/0.38 % (21092)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)
% 0.20/0.38 % (21090)Instruction limit reached!
% 0.20/0.38 % (21090)------------------------------
% 0.20/0.38 % (21090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (21090)Termination reason: Unknown
% 0.20/0.38 % (21090)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (21090)Memory used [KB]: 5628
% 0.20/0.38 % (21090)Time elapsed: 0.012 s
% 0.20/0.38 % (21090)Instructions burned: 19 (million)
% 0.20/0.38 % (21090)------------------------------
% 0.20/0.38 % (21090)------------------------------
% 0.20/0.38 % (21094)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)
% 0.20/0.38 % (21094)Instruction limit reached!
% 0.20/0.38 % (21094)------------------------------
% 0.20/0.38 % (21094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (21094)Termination reason: Unknown
% 0.20/0.38 % (21094)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (21094)Memory used [KB]: 5500
% 0.20/0.38 % (21094)Time elapsed: 0.003 s
% 0.20/0.38 % (21094)Instructions burned: 4 (million)
% 0.20/0.38 % (21094)------------------------------
% 0.20/0.38 % (21094)------------------------------
% 0.20/0.38 % (21086)Instruction limit reached!
% 0.20/0.38 % (21086)------------------------------
% 0.20/0.38 % (21086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (21086)Termination reason: Unknown
% 0.20/0.38 % (21086)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (21086)Memory used [KB]: 5756
% 0.20/0.38 % (21086)Time elapsed: 0.018 s
% 0.20/0.38 % (21086)Instructions burned: 27 (million)
% 0.20/0.38 % (21086)------------------------------
% 0.20/0.38 % (21086)------------------------------
% 0.20/0.38 % (21095)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)
% 0.20/0.38 % (21093)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)
% 0.20/0.39 % (21092)Instruction limit reached!
% 0.20/0.39 % (21092)------------------------------
% 0.20/0.39 % (21092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (21092)Termination reason: Unknown
% 0.20/0.39 % (21092)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (21092)Memory used [KB]: 5628
% 0.20/0.39 % (21092)Time elapsed: 0.016 s
% 0.20/0.39 % (21092)Instructions burned: 38 (million)
% 0.20/0.39 % (21092)------------------------------
% 0.20/0.39 % (21092)------------------------------
% 0.20/0.39 % (21097)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.39 % (21093)Instruction limit reached!
% 0.20/0.39 % (21093)------------------------------
% 0.20/0.39 % (21093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (21093)Termination reason: Unknown
% 0.20/0.39 % (21093)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (21093)Memory used [KB]: 5756
% 0.20/0.39 % (21093)Time elapsed: 0.010 s
% 0.20/0.39 % (21093)Instructions burned: 15 (million)
% 0.20/0.39 % (21093)------------------------------
% 0.20/0.39 % (21093)------------------------------
% 0.20/0.39 % (21096)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.40 % (21098)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)
% 0.20/0.40 % (21096)Instruction limit reached!
% 0.20/0.40 % (21096)------------------------------
% 0.20/0.40 % (21096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (21096)Termination reason: Unknown
% 0.20/0.40 % (21096)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (21096)Memory used [KB]: 1023
% 0.20/0.40 % (21096)Time elapsed: 0.006 s
% 0.20/0.40 % (21096)Instructions burned: 7 (million)
% 0.20/0.40 % (21096)------------------------------
% 0.20/0.40 % (21096)------------------------------
% 0.20/0.40 % (21098)Instruction limit reached!
% 0.20/0.40 % (21098)------------------------------
% 0.20/0.40 % (21098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (21098)Termination reason: Unknown
% 0.20/0.40 % (21098)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (21098)Memory used [KB]: 5500
% 0.20/0.40 % (21098)Time elapsed: 0.004 s
% 0.20/0.40 % (21098)Instructions burned: 4 (million)
% 0.20/0.40 % (21098)------------------------------
% 0.20/0.40 % (21098)------------------------------
% 0.20/0.40 % (21099)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)
% 0.20/0.40 % (21099)Instruction limit reached!
% 0.20/0.40 % (21099)------------------------------
% 0.20/0.40 % (21099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (21099)Termination reason: Unknown
% 0.20/0.40 % (21099)Termination phase: Property scanning
% 0.20/0.40
% 0.20/0.40 % (21099)Memory used [KB]: 1023
% 0.20/0.40 % (21099)Time elapsed: 0.003 s
% 0.20/0.40 % (21099)Instructions burned: 3 (million)
% 0.20/0.40 % (21099)------------------------------
% 0.20/0.40 % (21099)------------------------------
% 0.20/0.40 % (21097)Instruction limit reached!
% 0.20/0.40 % (21097)------------------------------
% 0.20/0.40 % (21097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (21097)Termination reason: Unknown
% 0.20/0.40 % (21097)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (21097)Memory used [KB]: 5756
% 0.20/0.40 % (21097)Time elapsed: 0.011 s
% 0.20/0.40 % (21097)Instructions burned: 16 (million)
% 0.20/0.40 % (21097)------------------------------
% 0.20/0.40 % (21097)------------------------------
% 0.20/0.40 % (21100)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)
% 0.20/0.41 % (21101)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)
% 0.20/0.41 % (21100)Refutation not found, incomplete strategy
% 0.20/0.41 % (21100)------------------------------
% 0.20/0.41 % (21100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (21100)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 % (21100)Memory used [KB]: 5500
% 0.20/0.41 % (21100)Time elapsed: 0.005 s
% 0.20/0.41 % (21100)Instructions burned: 4 (million)
% 0.20/0.41 % (21100)------------------------------
% 0.20/0.41 % (21100)------------------------------
% 0.20/0.41 % (21101)Instruction limit reached!
% 0.20/0.41 % (21101)------------------------------
% 0.20/0.41 % (21101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (21101)Termination reason: Unknown
% 0.20/0.41 % (21101)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (21101)Memory used [KB]: 5500
% 0.20/0.41 % (21101)Time elapsed: 0.003 s
% 0.20/0.41 % (21101)Instructions burned: 4 (million)
% 0.20/0.41 % (21101)------------------------------
% 0.20/0.41 % (21101)------------------------------
% 0.20/0.41 % (21102)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.41 % (21103)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)
% 0.20/0.41 % (21102)Instruction limit reached!
% 0.20/0.41 % (21102)------------------------------
% 0.20/0.41 % (21102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (21102)Termination reason: Unknown
% 0.20/0.41 % (21102)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (21102)Memory used [KB]: 5500
% 0.20/0.41 % (21102)Time elapsed: 0.004 s
% 0.20/0.41 % (21102)Instructions burned: 4 (million)
% 0.20/0.41 % (21102)------------------------------
% 0.20/0.41 % (21102)------------------------------
% 0.20/0.41 % (21104)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.41 % (21105)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.42 % (21105)Instruction limit reached!
% 0.20/0.42 % (21105)------------------------------
% 0.20/0.42 % (21105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (21105)Termination reason: Unknown
% 0.20/0.42 % (21105)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (21105)Memory used [KB]: 5628
% 0.20/0.42 % (21105)Time elapsed: 0.005 s
% 0.20/0.42 % (21105)Instructions burned: 6 (million)
% 0.20/0.42 % (21105)------------------------------
% 0.20/0.42 % (21105)------------------------------
% 0.20/0.42 % (21106)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)
% 0.20/0.42 % (21103)Instruction limit reached!
% 0.20/0.42 % (21103)------------------------------
% 0.20/0.42 % (21103)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (21103)Termination reason: Unknown
% 0.20/0.42 % (21103)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (21103)Memory used [KB]: 5756
% 0.20/0.42 % (21103)Time elapsed: 0.013 s
% 0.20/0.42 % (21103)Instructions burned: 18 (million)
% 0.20/0.42 % (21103)------------------------------
% 0.20/0.42 % (21103)------------------------------
% 0.20/0.42 % (21106)Refutation not found, incomplete strategy
% 0.20/0.42 % (21106)------------------------------
% 0.20/0.42 % (21106)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (21106)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 % (21106)Memory used [KB]: 5500
% 0.20/0.42 % (21106)Time elapsed: 0.003 s
% 0.20/0.42 % (21106)Instructions burned: 3 (million)
% 0.20/0.42 % (21106)------------------------------
% 0.20/0.42 % (21106)------------------------------
% 0.20/0.42 % (21107)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 (2999ds/21Mi)
% 0.20/0.43 % (21108)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.43 % (21108)Instruction limit reached!
% 0.20/0.43 % (21108)------------------------------
% 0.20/0.43 % (21108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (21108)Termination reason: Unknown
% 0.20/0.43 % (21108)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (21108)Memory used [KB]: 5500
% 0.20/0.43 % (21108)Time elapsed: 0.004 s
% 0.20/0.43 % (21108)Instructions burned: 6 (million)
% 0.20/0.43 % (21108)------------------------------
% 0.20/0.43 % (21108)------------------------------
% 0.20/0.43 % (21109)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 (2999ds/6Mi)
% 0.20/0.43 % (21109)Instruction limit reached!
% 0.20/0.43 % (21109)------------------------------
% 0.20/0.43 % (21109)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (21109)Termination reason: Unknown
% 0.20/0.43 % (21109)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (21109)Memory used [KB]: 5500
% 0.20/0.43 % (21109)Time elapsed: 0.004 s
% 0.20/0.43 % (21109)Instructions burned: 6 (million)
% 0.20/0.43 % (21109)------------------------------
% 0.20/0.43 % (21109)------------------------------
% 0.20/0.43 % (21110)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.44 % (21107)Instruction limit reached!
% 0.20/0.44 % (21107)------------------------------
% 0.20/0.44 % (21107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (21107)Termination reason: Unknown
% 0.20/0.44 % (21107)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (21107)Memory used [KB]: 5756
% 0.20/0.44 % (21107)Time elapsed: 0.014 s
% 0.20/0.44 % (21107)Instructions burned: 21 (million)
% 0.20/0.44 % (21107)------------------------------
% 0.20/0.44 % (21107)------------------------------
% 0.20/0.44 % (21111)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 (2999ds/779Mi)
% 0.20/0.44 % (21112)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 (2999ds/19Mi)
% 0.20/0.45 % (21113)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.20/0.45 % (21112)Instruction limit reached!
% 0.20/0.45 % (21112)------------------------------
% 0.20/0.45 % (21112)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (21112)Termination reason: Unknown
% 0.20/0.45 % (21112)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (21112)Memory used [KB]: 5500
% 0.20/0.45 % (21112)Time elapsed: 0.011 s
% 0.20/0.45 % (21112)Instructions burned: 19 (million)
% 0.20/0.45 % (21112)------------------------------
% 0.20/0.45 % (21112)------------------------------
% 0.20/0.45 % (21095)First to succeed.
% 0.20/0.46 % (21114)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.20/0.46 % (21110)Also succeeded, but the first one will report.
% 0.20/0.46 % (21095)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Theorem for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (21095)------------------------------
% 0.20/0.47 % (21095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (21095)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (21095)Memory used [KB]: 6012
% 0.20/0.47 % (21095)Time elapsed: 0.080 s
% 0.20/0.47 % (21095)Instructions burned: 124 (million)
% 0.20/0.47 % (21095)------------------------------
% 0.20/0.47 % (21095)------------------------------
% 0.20/0.47 % (21083)Success in time 0.091 s
% 0.20/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------