TSTP Solution File: SEV223^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV223^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:41:48 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 39
% Syntax : Number of formulae : 185 ( 9 unt; 24 typ; 0 def)
% Number of atoms : 1256 ( 440 equ; 0 cnn)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 1652 ( 187 ~; 291 |; 200 &; 815 @)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 203 ( 203 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 34 usr; 24 con; 0-2 aty)
% ( 0 !!; 145 ??; 0 @@+; 0 @@-)
% Number of variables : 358 ( 241 ^ 101 !; 15 ?; 358 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(func_def_0,type,
b: $tType ).
thf(func_def_1,type,
a: $tType ).
thf(func_def_2,type,
f: b > a ).
thf(func_def_3,type,
w: ( b > $o ) > $o ).
thf(func_def_15,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
sK2: a ).
thf(func_def_18,type,
sK3: b ).
thf(func_def_19,type,
sK4: a > $o ).
thf(func_def_20,type,
sK5: b > $o ).
thf(func_def_21,type,
sK6: b > $o ).
thf(func_def_22,type,
sK7: a > $o ).
thf(func_def_23,type,
sK8: b > $o ).
thf(func_def_24,type,
sK9: a > $o ).
thf(func_def_25,type,
sK10: b > $o ).
thf(func_def_26,type,
sK11: a > b ).
thf(func_def_27,type,
sK12: a ).
thf(func_def_28,type,
sK13: a > b ).
thf(func_def_29,type,
sK14: a ).
thf(func_def_30,type,
sK15: a ).
thf(func_def_31,type,
sK16: a > b ).
thf(func_def_32,type,
sK17: a ).
thf(func_def_33,type,
sK18: b ).
thf(f495,plain,
$false,
inference(avatar_sat_refutation,[],[f70,f75,f80,f89,f94,f99,f108,f113,f118,f125,f162,f170,f224,f474,f494]) ).
thf(f494,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f493]) ).
thf(f493,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f490]) ).
thf(f490,plain,
( ( $true = $false )
| ( sK2 != sK2 )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f98,f488]) ).
thf(f488,plain,
( ! [X0: a] :
( ( ( sK7 @ X0 )
= $false )
| ( sK2 != X0 ) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f487]) ).
thf(f487,plain,
( ! [X0: a] :
( ( ( sK7 @ X0 )
= $false )
| ( sK2 != X0 )
| ( ( sK7 @ X0 )
= $false ) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f461,f356]) ).
thf(f356,plain,
( ! [X1: a] :
( ( ( f @ ( sK16 @ X1 ) )
= X1 )
| ( ( sK7 @ X1 )
= $false ) )
| ~ spl0_5 ),
inference(equality_proxy_clausification,[],[f355]) ).
thf(f355,plain,
( ! [X1: a] :
( ( $true
= ( ( f @ ( sK16 @ X1 ) )
= X1 ) )
| ( ( sK7 @ X1 )
= $false ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f353]) ).
thf(f353,plain,
( ! [X1: a] :
( ( ( sK7 @ X1 )
= $false )
| ( $true
= ( ( ( f @ ( sK16 @ X1 ) )
= X1 )
& ( sK8 @ ( sK16 @ X1 ) ) ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f352]) ).
thf(f352,plain,
( ! [X1: a] :
( ( ( sK7 @ X1 )
= $false )
| ( $true
= ( ^ [Y0: b] :
( ( ( f @ Y0 )
= X1 )
& ( sK8 @ Y0 ) )
@ ( sK16 @ X1 ) ) ) )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f351]) ).
thf(f351,plain,
( ! [X1: a] :
( ( ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= X1 )
& ( sK8 @ Y0 ) ) )
= $true )
| ( ( sK7 @ X1 )
= $false ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f349]) ).
thf(f349,plain,
( ! [X1: a] :
( ( sK7 @ X1 )
= ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= X1 )
& ( sK8 @ Y0 ) ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f347]) ).
thf(f347,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK8 @ Y1 ) ) )
@ X1 )
= ( sK7 @ X1 ) )
| ~ spl0_5 ),
inference(argument_congruence,[],[f84]) ).
thf(f84,plain,
( ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK8 @ Y1 ) ) ) )
= sK7 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f82,plain,
( spl0_5
<=> ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK8 @ Y1 ) ) ) )
= sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f461,plain,
( ! [X0: a] :
( ( ( f @ ( sK16 @ X0 ) )
!= sK2 )
| ( ( sK7 @ X0 )
= $false ) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f457]) ).
thf(f457,plain,
( ! [X0: a] :
( ( ( sK7 @ X0 )
= $false )
| ( ( f @ ( sK16 @ X0 ) )
!= sK2 )
| ( $true = $false ) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f341,f354]) ).
thf(f354,plain,
( ! [X1: a] :
( ( $true
= ( sK8 @ ( sK16 @ X1 ) ) )
| ( ( sK7 @ X1 )
= $false ) )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f353]) ).
thf(f341,plain,
( ! [X0: b] :
( ( ( sK8 @ X0 )
= $false )
| ( ( f @ X0 )
!= sK2 ) )
| ~ spl0_7
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f338]) ).
thf(f338,plain,
( ! [X0: b] :
( ( ( sK8 @ X0 )
= $false )
| ( ( f @ X0 )
!= sK2 )
| ( $true = $false ) )
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f93,f121]) ).
thf(f121,plain,
( ! [X2: b,X4: b > $o] :
( ( ( w @ X4 )
= $false )
| ( ( f @ X2 )
!= sK2 )
| ( ( X4 @ X2 )
= $false ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f120]) ).
thf(f120,plain,
( spl0_13
<=> ! [X2: b,X4: b > $o] :
( ( ( f @ X2 )
!= sK2 )
| ( ( w @ X4 )
= $false )
| ( ( X4 @ X2 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
thf(f93,plain,
( ( ( w @ sK8 )
= $true )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f91]) ).
thf(f91,plain,
( spl0_7
<=> ( ( w @ sK8 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f98,plain,
( ( ( sK7 @ sK2 )
= $true )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f96]) ).
thf(f96,plain,
( spl0_8
<=> ( ( sK7 @ sK2 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f474,plain,
( ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f473]) ).
thf(f473,plain,
( $false
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f464]) ).
thf(f464,plain,
( ( $true = $false )
| ( sK2 != sK2 )
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f463,f117]) ).
thf(f117,plain,
( ( ( sK4 @ sK2 )
= $true )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f115,plain,
( spl0_12
<=> ( ( sK4 @ sK2 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
thf(f463,plain,
( ! [X0: a] :
( ( ( sK4 @ X0 )
= $false )
| ( sK2 != X0 ) )
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f462]) ).
thf(f462,plain,
( ! [X0: a] :
( ( ( sK4 @ X0 )
= $false )
| ( sK2 != X0 )
| ( ( sK4 @ X0 )
= $false ) )
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f452,f263]) ).
thf(f263,plain,
( ! [X1: a] :
( ( ( f @ ( sK13 @ X1 ) )
= X1 )
| ( ( sK4 @ X1 )
= $false ) )
| ~ spl0_9 ),
inference(equality_proxy_clausification,[],[f262]) ).
thf(f262,plain,
( ! [X1: a] :
( ( ( ( f @ ( sK13 @ X1 ) )
= X1 )
= $true )
| ( ( sK4 @ X1 )
= $false ) )
| ~ spl0_9 ),
inference(binary_proxy_clausification,[],[f260]) ).
thf(f260,plain,
( ! [X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( ( ( ( f @ ( sK13 @ X1 ) )
= X1 )
& ( sK5 @ ( sK13 @ X1 ) ) )
= $true ) )
| ~ spl0_9 ),
inference(beta_eta_normalization,[],[f259]) ).
thf(f259,plain,
( ! [X1: a] :
( ( ( ^ [Y0: b] :
( ( ( f @ Y0 )
= X1 )
& ( sK5 @ Y0 ) )
@ ( sK13 @ X1 ) )
= $true )
| ( ( sK4 @ X1 )
= $false ) )
| ~ spl0_9 ),
inference(sigma_clausification,[],[f258]) ).
thf(f258,plain,
( ! [X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( $true
= ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= X1 )
& ( sK5 @ Y0 ) ) ) ) )
| ~ spl0_9 ),
inference(binary_proxy_clausification,[],[f256]) ).
thf(f256,plain,
( ! [X1: a] :
( ( sK4 @ X1 )
= ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= X1 )
& ( sK5 @ Y0 ) ) ) )
| ~ spl0_9 ),
inference(beta_eta_normalization,[],[f254]) ).
thf(f254,plain,
( ! [X1: a] :
( ( sK4 @ X1 )
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK5 @ Y1 ) ) )
@ X1 ) )
| ~ spl0_9 ),
inference(argument_congruence,[],[f103]) ).
thf(f103,plain,
( ( sK4
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK5 @ Y1 ) ) ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f101]) ).
thf(f101,plain,
( spl0_9
<=> ( sK4
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK5 @ Y1 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f452,plain,
( ! [X0: a] :
( ( ( f @ ( sK13 @ X0 ) )
!= sK2 )
| ( ( sK4 @ X0 )
= $false ) )
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f450]) ).
thf(f450,plain,
( ! [X0: a] :
( ( $true = $false )
| ( ( f @ ( sK13 @ X0 ) )
!= sK2 )
| ( ( sK4 @ X0 )
= $false ) )
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f403,f261]) ).
thf(f261,plain,
( ! [X1: a] :
( ( ( sK5 @ ( sK13 @ X1 ) )
= $true )
| ( ( sK4 @ X1 )
= $false ) )
| ~ spl0_9 ),
inference(binary_proxy_clausification,[],[f260]) ).
thf(f403,plain,
( ! [X0: b] :
( ( ( sK5 @ X0 )
= $false )
| ( ( f @ X0 )
!= sK2 ) )
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f401]) ).
thf(f401,plain,
( ! [X0: b] :
( ( ( sK5 @ X0 )
= $false )
| ( $true = $false )
| ( ( f @ X0 )
!= sK2 ) )
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f121,f112]) ).
thf(f112,plain,
( ( $true
= ( w @ sK5 ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f110]) ).
thf(f110,plain,
( spl0_11
<=> ( $true
= ( w @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
thf(f224,plain,
( ~ spl0_10
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f219,f120,f86,f63,f105]) ).
thf(f105,plain,
( spl0_10
<=> ( ( f @ sK3 )
= sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f63,plain,
( spl0_1
<=> ( ( sK6 @ sK3 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f86,plain,
( spl0_6
<=> ( ( w @ sK6 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f219,plain,
( ( ( f @ sK3 )
!= sK2 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f217]) ).
thf(f217,plain,
( ( ( f @ sK3 )
!= sK2 )
| ( $true = $false )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f65,f182]) ).
thf(f182,plain,
( ! [X0: b] :
( ( ( sK6 @ X0 )
= $false )
| ( ( f @ X0 )
!= sK2 ) )
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f179]) ).
thf(f179,plain,
( ! [X0: b] :
( ( ( sK6 @ X0 )
= $false )
| ( $true = $false )
| ( ( f @ X0 )
!= sK2 ) )
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f121,f88]) ).
thf(f88,plain,
( ( ( w @ sK6 )
= $true )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f86]) ).
thf(f65,plain,
( ( ( sK6 @ sK3 )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f63]) ).
thf(f170,plain,
( spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f169,f123,f120]) ).
thf(f123,plain,
( spl0_14
<=> ! [X1: a > $o,X3: b > $o] :
( ( ( w @ X3 )
= $false )
| ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( X3 @ Y1 ) ) ) )
!= X1 )
| ( ( X1 @ sK2 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
thf(f169,plain,
( ! [X0: b > $o,X1: b] :
( ( ( X0 @ X1 )
= $false )
| ( $false
= ( w @ X0 ) )
| ( ( f @ X1 )
!= sK2 ) )
| ~ spl0_14 ),
inference(equality_proxy_clausification,[],[f168]) ).
thf(f168,plain,
( ! [X0: b > $o,X1: b] :
( ( ( ( f @ X1 )
= sK2 )
= $false )
| ( $false
= ( w @ X0 ) )
| ( ( X0 @ X1 )
= $false ) )
| ~ spl0_14 ),
inference(binary_proxy_clausification,[],[f167]) ).
thf(f167,plain,
( ! [X0: b > $o,X1: b] :
( ( $false
= ( w @ X0 ) )
| ( ( ( ( f @ X1 )
= sK2 )
& ( X0 @ X1 ) )
= $false ) )
| ~ spl0_14 ),
inference(beta_eta_normalization,[],[f166]) ).
thf(f166,plain,
( ! [X0: b > $o,X1: b] :
( ( $false
= ( ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( X0 @ Y0 ) )
@ X1 ) )
| ( $false
= ( w @ X0 ) ) )
| ~ spl0_14 ),
inference(pi_clausification,[],[f165]) ).
thf(f165,plain,
( ! [X0: b > $o] :
( ( $false
= ( w @ X0 ) )
| ( ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( X0 @ Y0 ) ) )
= $false ) )
| ~ spl0_14 ),
inference(beta_eta_normalization,[],[f164]) ).
thf(f164,plain,
( ! [X0: b > $o] :
( ( $false
= ( w @ X0 ) )
| ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( X0 @ Y1 ) ) )
@ sK2 )
= $false ) )
| ~ spl0_14 ),
inference(equality_resolution,[],[f124]) ).
thf(f124,plain,
( ! [X3: b > $o,X1: a > $o] :
( ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( X3 @ Y1 ) ) ) )
!= X1 )
| ( ( X1 @ sK2 )
= $false )
| ( ( w @ X3 )
= $false ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f162,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f161]) ).
thf(f161,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f155]) ).
thf(f155,plain,
( ( $true = $false )
| ( sK2 != sK2 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f79,f152]) ).
thf(f152,plain,
( ! [X0: a] :
( ( ( sK9 @ X0 )
= $false )
| ( sK2 != X0 ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f151]) ).
thf(f151,plain,
( ! [X0: a] :
( ( ( sK9 @ X0 )
= $false )
| ( ( sK9 @ X0 )
= $false )
| ( sK2 != X0 ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f150,f146]) ).
thf(f146,plain,
( ! [X1: a] :
( ( ( f @ ( sK11 @ X1 ) )
= X1 )
| ( $false
= ( sK9 @ X1 ) ) )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f145]) ).
thf(f145,plain,
( ! [X1: a] :
( ( $false
= ( sK9 @ X1 ) )
| ( ( ( f @ ( sK11 @ X1 ) )
= X1 )
= $true ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f143]) ).
thf(f143,plain,
( ! [X1: a] :
( ( $false
= ( sK9 @ X1 ) )
| ( $true
= ( ( ( f @ ( sK11 @ X1 ) )
= X1 )
& ( sK10 @ ( sK11 @ X1 ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f142]) ).
thf(f142,plain,
( ! [X1: a] :
( ( $false
= ( sK9 @ X1 ) )
| ( ( ^ [Y0: b] :
( ( ( f @ Y0 )
= X1 )
& ( sK10 @ Y0 ) )
@ ( sK11 @ X1 ) )
= $true ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f136]) ).
thf(f136,plain,
( ! [X1: a] :
( ( $true
= ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= X1 )
& ( sK10 @ Y0 ) ) ) )
| ( $false
= ( sK9 @ X1 ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f135]) ).
thf(f135,plain,
( ! [X1: a] :
( ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= X1 )
& ( sK10 @ Y0 ) ) )
= ( sK9 @ X1 ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f134]) ).
thf(f134,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK10 @ Y1 ) ) )
@ X1 )
= ( sK9 @ X1 ) )
| ~ spl0_2 ),
inference(argument_congruence,[],[f69]) ).
thf(f69,plain,
( ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK10 @ Y1 ) ) ) )
= sK9 )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f67,plain,
( spl0_2
<=> ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK10 @ Y1 ) ) ) )
= sK9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f150,plain,
( ! [X0: a] :
( ( ( f @ ( sK11 @ X0 ) )
!= sK2 )
| ( ( sK9 @ X0 )
= $false ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f148]) ).
thf(f148,plain,
( ! [X0: a] :
( ( ( sK9 @ X0 )
= $false )
| ( $true = $false )
| ( ( f @ ( sK11 @ X0 ) )
!= sK2 ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f129,f144]) ).
thf(f144,plain,
( ! [X1: a] :
( ( ( sK10 @ ( sK11 @ X1 ) )
= $true )
| ( $false
= ( sK9 @ X1 ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f143]) ).
thf(f129,plain,
( ! [X0: b] :
( ( ( sK10 @ X0 )
= $false )
| ( ( f @ X0 )
!= sK2 ) )
| ~ spl0_3
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f127]) ).
thf(f127,plain,
( ! [X0: b] :
( ( ( f @ X0 )
!= sK2 )
| ( ( sK10 @ X0 )
= $false )
| ( $true = $false ) )
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f121,f74]) ).
thf(f74,plain,
( ( $true
= ( w @ sK10 ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f72,plain,
( spl0_3
<=> ( $true
= ( w @ sK10 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f79,plain,
( ( ( sK9 @ sK2 )
= $true )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f77]) ).
thf(f77,plain,
( spl0_4
<=> ( ( sK9 @ sK2 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f125,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f25,f123,f120]) ).
thf(f25,plain,
! [X2: b,X3: b > $o,X1: a > $o,X4: b > $o] :
( ( ( f @ X2 )
!= sK2 )
| ( ( w @ X3 )
= $false )
| ( ( X1 @ sK2 )
= $false )
| ( ( X4 @ X2 )
= $false )
| ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( X3 @ Y1 ) ) ) )
!= X1 )
| ( ( w @ X4 )
= $false ) ),
inference(binary_proxy_clausification,[],[f24]) ).
thf(f24,plain,
! [X2: b,X3: b > $o,X1: a > $o,X4: b > $o] :
( ( ( w @ X3 )
= $false )
| ( ( X1 @ sK2 )
= $false )
| ( $false
= ( ( w @ X4 )
& ( X4 @ X2 ) ) )
| ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( X3 @ Y1 ) ) ) )
!= X1 )
| ( ( f @ X2 )
!= sK2 ) ),
inference(equality_proxy_clausification,[],[f23]) ).
thf(f23,plain,
! [X2: b,X3: b > $o,X1: a > $o,X4: b > $o] :
( ( ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( X3 @ Y1 ) ) ) )
= X1 )
= $false )
| ( ( f @ X2 )
!= sK2 )
| ( ( w @ X3 )
= $false )
| ( ( X1 @ sK2 )
= $false )
| ( $false
= ( ( w @ X4 )
& ( X4 @ X2 ) ) ) ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f22,plain,
! [X2: b,X3: b > $o,X1: a > $o,X4: b > $o] :
( ( ( ( w @ X3 )
& ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( X3 @ Y1 ) ) ) )
= X1 ) )
= $false )
| ( $false
= ( ( w @ X4 )
& ( X4 @ X2 ) ) )
| ( ( f @ X2 )
!= sK2 )
| ( ( X1 @ sK2 )
= $false ) ),
inference(beta_eta_normalization,[],[f21]) ).
thf(f21,plain,
! [X2: b,X3: b > $o,X1: a > $o,X4: b > $o] :
( ( ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ X2 ) )
@ X4 )
= $false )
| ( ( ( w @ X3 )
& ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( X3 @ Y1 ) ) ) )
= X1 ) )
= $false )
| ( ( X1 @ sK2 )
= $false )
| ( ( f @ X2 )
!= sK2 ) ),
inference(pi_clausification,[],[f20]) ).
thf(f20,plain,
! [X2: b,X3: b > $o,X1: a > $o] :
( ( ( f @ X2 )
!= sK2 )
| ( ( X1 @ sK2 )
= $false )
| ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ X2 ) ) )
= $false )
| ( ( ( w @ X3 )
& ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( X3 @ Y1 ) ) ) )
= X1 ) )
= $false ) ),
inference(equality_proxy_clausification,[],[f19]) ).
thf(f19,plain,
! [X2: b,X3: b > $o,X1: a > $o] :
( ( ( X1 @ sK2 )
= $false )
| ( ( ( f @ X2 )
= sK2 )
= $false )
| ( ( ( w @ X3 )
& ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( X3 @ Y1 ) ) ) )
= X1 ) )
= $false )
| ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ X2 ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f18]) ).
thf(f18,plain,
! [X2: b,X3: b > $o,X1: a > $o] :
( ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ X2 ) ) )
= $false )
| ( ( ( f @ X2 )
= sK2 )
= $false )
| ( ( X1 @ sK2 )
= $false )
| ( ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= X1 ) )
@ X3 )
= $false ) ),
inference(pi_clausification,[],[f17]) ).
thf(f17,plain,
! [X2: b,X1: a > $o] :
( ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= X1 ) ) )
= $false )
| ( ( X1 @ sK2 )
= $false )
| ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ X2 ) ) )
= $false )
| ( ( ( f @ X2 )
= sK2 )
= $false ) ),
inference(binary_proxy_clausification,[],[f16]) ).
thf(f16,plain,
! [X2: b,X1: a > $o] :
( ( ( ( X1 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= X1 ) ) ) )
= $false )
| ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ X2 ) ) )
= $false )
| ( ( ( f @ X2 )
= sK2 )
= $false ) ),
inference(binary_proxy_clausification,[],[f15]) ).
thf(f15,plain,
! [X2: b,X1: a > $o] :
( ( $false
= ( ( ( f @ X2 )
= sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ X2 ) ) ) ) )
| ( ( ( X1 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= X1 ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f14]) ).
thf(f14,plain,
! [X2: b,X1: a > $o] :
( ( ( ( X1 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= X1 ) ) ) )
= $false )
| ( ( ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y1 @ Y0 ) ) ) )
@ X2 )
= $false ) ),
inference(pi_clausification,[],[f13]) ).
thf(f13,plain,
! [X1: a > $o] :
( ( ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
= $false )
| ( ( ( X1 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= X1 ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f12]) ).
thf(f12,plain,
! [X1: a > $o] :
( ( ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
= $false )
| ( ( ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) )
@ X1 )
= $false ) ),
inference(pi_clausification,[],[f11]) ).
thf(f11,plain,
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) ) ) )
| ( ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f9,plain,
( ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
!= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f8]) ).
thf(f8,plain,
( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
@ sK2 )
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( ( ^ [Y3: a] :
( ?? @ b
@ ^ [Y4: b] :
( ( ( f @ Y4 )
= Y3 )
& ( Y2 @ Y4 ) ) ) )
= Y1 ) ) ) ) )
@ sK2 ) ),
inference(negative_extensionality,[],[f7]) ).
thf(f7,plain,
( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( ( ^ [Y3: a] :
( ?? @ b
@ ^ [Y4: b] :
( ( ( f @ Y4 )
= Y3 )
& ( Y2 @ Y4 ) ) ) )
= Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( ( ^ [Y3: a] :
( ?? @ b
@ ^ [Y4: b] :
( ( ( f @ Y4 )
= Y3 )
& ( Y2 @ Y4 ) ) ) )
= Y1 ) ) ) ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( Y2 @ Y1 ) ) ) ) ) )
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( ?? @ ( b > $o )
@ ^ [Y2: b > $o] :
( ( w @ Y2 )
& ( ( ^ [Y3: a] :
( ?? @ b
@ ^ [Y4: b] :
( ( ( f @ Y4 )
= Y3 )
& ( Y2 @ Y4 ) ) ) )
= Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
( ( ^ [X0: a] :
? [X1: a > $o] :
( ? [X2: b > $o] :
( ( ( ^ [X3: a] :
? [X4: b] :
( ( X2 @ X4 )
& ( ( f @ X4 )
= X3 ) ) )
= X1 )
& ( w @ X2 ) )
& ( X1 @ X0 ) ) )
!= ( ^ [X5: a] :
? [X6: b] :
( ? [X7: b > $o] :
( ( X7 @ X6 )
& ( w @ X7 ) )
& ( ( f @ X6 )
= X5 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
( ( ^ [X3: a] :
? [X2: a > $o] :
( ? [X1: b > $o] :
( ( ( ^ [X0: a] :
? [X4: b] :
( ( X1 @ X4 )
& ( ( f @ X4 )
= X0 ) ) )
= X2 )
& ( w @ X1 ) )
& ( X2 @ X3 ) ) )
!= ( ^ [X0: a] :
? [X1: b] :
( ? [X2: b > $o] :
( ( X2 @ X1 )
& ( w @ X2 ) )
& ( ( f @ X1 )
= X0 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ^ [X3: a] :
? [X2: a > $o] :
( ? [X1: b > $o] :
( ( ( ^ [X0: a] :
? [X4: b] :
( ( X1 @ X4 )
& ( ( f @ X4 )
= X0 ) ) )
= X2 )
& ( w @ X1 ) )
& ( X2 @ X3 ) ) )
= ( ^ [X0: a] :
? [X1: b] :
( ? [X2: b > $o] :
( ( X2 @ X1 )
& ( w @ X2 ) )
& ( ( f @ X1 )
= X0 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sPFJHujbpV/Vampire---4.8_19179',cX5204_pme) ).
thf(f118,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f34,f115,f105]) ).
thf(f34,plain,
( ( ( f @ sK3 )
= sK2 )
| ( ( sK4 @ sK2 )
= $true ) ),
inference(binary_proxy_clausification,[],[f32]) ).
thf(f32,plain,
( ( ( f @ sK3 )
= sK2 )
| ( $true
= ( ( sK4 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= sK4 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f31]) ).
thf(f31,plain,
( ( ( f @ sK3 )
= sK2 )
| ( $true
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) )
@ sK4 ) ) ),
inference(sigma_clausification,[],[f30]) ).
thf(f30,plain,
( ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) ) ) )
| ( ( f @ sK3 )
= sK2 ) ),
inference(equality_proxy_clausification,[],[f29]) ).
thf(f29,plain,
( ( $true
= ( ( f @ sK3 )
= sK2 ) )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f27,plain,
( ( ( ( ( f @ sK3 )
= sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ sK3 ) ) ) )
= $true )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f26]) ).
thf(f26,plain,
( ( ( ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y1 @ Y0 ) ) ) )
@ sK3 )
= $true )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) ) ) ) ),
inference(sigma_clausification,[],[f10]) ).
thf(f10,plain,
( ( ( ?? @ b
@ ^ [Y0: b] :
( ( ( f @ Y0 )
= sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
= $true )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f113,plain,
( spl0_11
| spl0_10 ),
inference(avatar_split_clause,[],[f38,f105,f110]) ).
thf(f38,plain,
( ( $true
= ( w @ sK5 ) )
| ( ( f @ sK3 )
= sK2 ) ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f36,plain,
( ( ( f @ sK3 )
= sK2 )
| ( ( ( w @ sK5 )
& ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK5 @ Y1 ) ) ) )
= sK4 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f35]) ).
thf(f35,plain,
( ( ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= sK4 ) )
@ sK5 )
= $true )
| ( ( f @ sK3 )
= sK2 ) ),
inference(sigma_clausification,[],[f33]) ).
thf(f33,plain,
( ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= sK4 ) ) )
= $true )
| ( ( f @ sK3 )
= sK2 ) ),
inference(binary_proxy_clausification,[],[f32]) ).
thf(f108,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f39,f105,f101]) ).
thf(f39,plain,
( ( ( f @ sK3 )
= sK2 )
| ( sK4
= ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK5 @ Y1 ) ) ) ) ) ),
inference(equality_proxy_clausification,[],[f37]) ).
thf(f37,plain,
( ( ( f @ sK3 )
= sK2 )
| ( ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK5 @ Y1 ) ) ) )
= sK4 )
= $true ) ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f99,plain,
( spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f47,f96,f86]) ).
thf(f47,plain,
( ( ( sK7 @ sK2 )
= $true )
| ( ( w @ sK6 )
= $true ) ),
inference(binary_proxy_clausification,[],[f45]) ).
thf(f45,plain,
( ( $true
= ( ( sK7 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= sK7 ) ) ) ) )
| ( ( w @ sK6 )
= $true ) ),
inference(beta_eta_normalization,[],[f44]) ).
thf(f44,plain,
( ( $true
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) )
@ sK7 ) )
| ( ( w @ sK6 )
= $true ) ),
inference(sigma_clausification,[],[f43]) ).
thf(f43,plain,
( ( ( w @ sK6 )
= $true )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f41]) ).
thf(f41,plain,
( ( $true
= ( ( w @ sK6 )
& ( sK6 @ sK3 ) ) )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f40]) ).
thf(f40,plain,
( ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) ) ) )
| ( $true
= ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ sK3 ) )
@ sK6 ) ) ),
inference(sigma_clausification,[],[f28]) ).
thf(f28,plain,
( ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( Y0 @ sK3 ) ) )
= $true )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f94,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f51,f86,f91]) ).
thf(f51,plain,
( ( ( w @ sK6 )
= $true )
| ( ( w @ sK8 )
= $true ) ),
inference(binary_proxy_clausification,[],[f49]) ).
thf(f49,plain,
( ( ( ( w @ sK8 )
& ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK8 @ Y1 ) ) ) )
= sK7 ) )
= $true )
| ( ( w @ sK6 )
= $true ) ),
inference(beta_eta_normalization,[],[f48]) ).
thf(f48,plain,
( ( ( w @ sK6 )
= $true )
| ( ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= sK7 ) )
@ sK8 )
= $true ) ),
inference(sigma_clausification,[],[f46]) ).
thf(f46,plain,
( ( $true
= ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= sK7 ) ) ) )
| ( ( w @ sK6 )
= $true ) ),
inference(binary_proxy_clausification,[],[f45]) ).
thf(f89,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f52,f86,f82]) ).
thf(f52,plain,
( ( ( w @ sK6 )
= $true )
| ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK8 @ Y1 ) ) ) )
= sK7 ) ),
inference(equality_proxy_clausification,[],[f50]) ).
thf(f50,plain,
( ( ( w @ sK6 )
= $true )
| ( $true
= ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK8 @ Y1 ) ) ) )
= sK7 ) ) ),
inference(binary_proxy_clausification,[],[f49]) ).
thf(f80,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f56,f77,f63]) ).
thf(f56,plain,
( ( ( sK6 @ sK3 )
= $true )
| ( ( sK9 @ sK2 )
= $true ) ),
inference(binary_proxy_clausification,[],[f54]) ).
thf(f54,plain,
( ( $true
= ( ( sK9 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= sK9 ) ) ) ) )
| ( ( sK6 @ sK3 )
= $true ) ),
inference(beta_eta_normalization,[],[f53]) ).
thf(f53,plain,
( ( $true
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) )
@ sK9 ) )
| ( ( sK6 @ sK3 )
= $true ) ),
inference(sigma_clausification,[],[f42]) ).
thf(f42,plain,
( ( ( sK6 @ sK3 )
= $true )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK2 )
& ( ?? @ ( b > $o )
@ ^ [Y1: b > $o] :
( ( w @ Y1 )
& ( ( ^ [Y2: a] :
( ?? @ b
@ ^ [Y3: b] :
( ( ( f @ Y3 )
= Y2 )
& ( Y1 @ Y3 ) ) ) )
= Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f41]) ).
thf(f75,plain,
( spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f60,f63,f72]) ).
thf(f60,plain,
( ( $true
= ( w @ sK10 ) )
| ( ( sK6 @ sK3 )
= $true ) ),
inference(binary_proxy_clausification,[],[f58]) ).
thf(f58,plain,
( ( ( sK6 @ sK3 )
= $true )
| ( ( ( w @ sK10 )
& ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK10 @ Y1 ) ) ) )
= sK9 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f57]) ).
thf(f57,plain,
( ( ( ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= sK9 ) )
@ sK10 )
= $true )
| ( ( sK6 @ sK3 )
= $true ) ),
inference(sigma_clausification,[],[f55]) ).
thf(f55,plain,
( ( ( ?? @ ( b > $o )
@ ^ [Y0: b > $o] :
( ( w @ Y0 )
& ( ( ^ [Y1: a] :
( ?? @ b
@ ^ [Y2: b] :
( ( ( f @ Y2 )
= Y1 )
& ( Y0 @ Y2 ) ) ) )
= sK9 ) ) )
= $true )
| ( ( sK6 @ sK3 )
= $true ) ),
inference(binary_proxy_clausification,[],[f54]) ).
thf(f70,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f61,f67,f63]) ).
thf(f61,plain,
( ( ( sK6 @ sK3 )
= $true )
| ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK10 @ Y1 ) ) ) )
= sK9 ) ),
inference(equality_proxy_clausification,[],[f59]) ).
thf(f59,plain,
( ( ( ( ^ [Y0: a] :
( ?? @ b
@ ^ [Y1: b] :
( ( ( f @ Y1 )
= Y0 )
& ( sK10 @ Y1 ) ) ) )
= sK9 )
= $true )
| ( ( sK6 @ sK3 )
= $true ) ),
inference(binary_proxy_clausification,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV223^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 11:39:03 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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/sandbox/tmp/tmp.sPFJHujbpV/Vampire---4.8_19179
% 0.15/0.38 % (19432)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.15/0.38 % (19433)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 (3000ds/4Mi)
% 0.15/0.38 % (19434)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 (3000ds/27Mi)
% 0.15/0.38 % (19435)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.15/0.38 % (19436)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 (3000ds/2Mi)
% 0.15/0.38 % (19437)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 (3000ds/275Mi)
% 0.15/0.38 % (19438)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.15/0.38 % (19439)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 (3000ds/3Mi)
% 0.15/0.38 % (19435)Instruction limit reached!
% 0.15/0.38 % (19435)------------------------------
% 0.15/0.38 % (19435)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (19435)Termination reason: Unknown
% 0.15/0.38 % (19436)Instruction limit reached!
% 0.15/0.38 % (19436)------------------------------
% 0.15/0.38 % (19436)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (19436)Termination reason: Unknown
% 0.15/0.38 % (19436)Termination phase: Preprocessing 1
% 0.15/0.38
% 0.15/0.38 % (19436)Memory used [KB]: 895
% 0.15/0.38 % (19436)Time elapsed: 0.003 s
% 0.15/0.38 % (19436)Instructions burned: 2 (million)
% 0.15/0.38 % (19436)------------------------------
% 0.15/0.38 % (19436)------------------------------
% 0.15/0.38 % (19435)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (19435)Memory used [KB]: 895
% 0.15/0.38 % (19435)Time elapsed: 0.003 s
% 0.15/0.38 % (19435)Instructions burned: 2 (million)
% 0.15/0.38 % (19435)------------------------------
% 0.15/0.38 % (19435)------------------------------
% 0.15/0.38 % (19439)Refutation not found, incomplete strategy
% 0.15/0.38 % (19439)------------------------------
% 0.15/0.38 % (19439)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (19439)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (19439)Memory used [KB]: 5500
% 0.15/0.38 % (19439)Time elapsed: 0.004 s
% 0.15/0.38 % (19439)Instructions burned: 2 (million)
% 0.15/0.38 % (19439)------------------------------
% 0.15/0.38 % (19439)------------------------------
% 0.21/0.38 % (19433)Instruction limit reached!
% 0.21/0.38 % (19433)------------------------------
% 0.21/0.38 % (19433)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (19433)Termination reason: Unknown
% 0.21/0.38 % (19433)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (19433)Memory used [KB]: 5500
% 0.21/0.38 % (19433)Time elapsed: 0.005 s
% 0.21/0.38 % (19433)Instructions burned: 4 (million)
% 0.21/0.38 % (19433)------------------------------
% 0.21/0.38 % (19433)------------------------------
% 0.21/0.39 % (19438)Instruction limit reached!
% 0.21/0.39 % (19438)------------------------------
% 0.21/0.39 % (19438)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (19438)Termination reason: Unknown
% 0.21/0.39 % (19438)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (19438)Memory used [KB]: 5628
% 0.21/0.39 % (19438)Time elapsed: 0.015 s
% 0.21/0.39 % (19438)Instructions burned: 18 (million)
% 0.21/0.39 % (19438)------------------------------
% 0.21/0.39 % (19438)------------------------------
% 0.21/0.39 % (19440)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)
% 0.21/0.39 % (19441)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)
% 0.21/0.40 % (19442)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)
% 0.21/0.40 % (19443)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)
% 0.21/0.40 % (19442)Refutation not found, incomplete strategy
% 0.21/0.40 % (19442)------------------------------
% 0.21/0.40 % (19442)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (19442)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.40
% 0.21/0.40
% 0.21/0.40 % (19442)Memory used [KB]: 5500
% 0.21/0.40 % (19442)Time elapsed: 0.003 s
% 0.21/0.40 % (19442)Instructions burned: 2 (million)
% 0.21/0.40 % (19442)------------------------------
% 0.21/0.40 % (19442)------------------------------
% 0.21/0.40 % (19434)Instruction limit reached!
% 0.21/0.40 % (19434)------------------------------
% 0.21/0.40 % (19434)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (19434)Termination reason: Unknown
% 0.21/0.40 % (19434)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (19434)Memory used [KB]: 5628
% 0.21/0.40 % (19434)Time elapsed: 0.022 s
% 0.21/0.40 % (19434)Instructions burned: 27 (million)
% 0.21/0.40 % (19434)------------------------------
% 0.21/0.40 % (19434)------------------------------
% 0.21/0.40 % (19437)First to succeed.
% 0.21/0.41 % (19441)Instruction limit reached!
% 0.21/0.41 % (19441)------------------------------
% 0.21/0.41 % (19441)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (19441)Termination reason: Unknown
% 0.21/0.41 % (19441)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (19441)Memory used [KB]: 5756
% 0.21/0.41 % (19441)Time elapsed: 0.013 s
% 0.21/0.41 % (19441)Instructions burned: 16 (million)
% 0.21/0.41 % (19441)------------------------------
% 0.21/0.41 % (19441)------------------------------
% 0.21/0.41 % (19444)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)
% 0.21/0.41 % (19437)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for Vampire---4
% 0.21/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.41 % (19437)------------------------------
% 0.21/0.41 % (19437)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (19437)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (19437)Memory used [KB]: 5756
% 0.21/0.41 % (19437)Time elapsed: 0.031 s
% 0.21/0.41 % (19437)Instructions burned: 33 (million)
% 0.21/0.41 % (19437)------------------------------
% 0.21/0.41 % (19437)------------------------------
% 0.21/0.41 % (19431)Success in time 0.03 s
% 0.21/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------