TSTP Solution File: SET598^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SET598^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 14:52:40 EDT 2024
% Result : Theorem 1.21s 0.53s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 21
% Syntax : Number of formulae : 212 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 1470 ( 327 equ; 34 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 2291 ( 274 ~; 320 |; 123 &;1088 @)
% ( 23 <=>; 265 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 115 ( 115 >; 0 *; 0 +; 0 <<)
% Number of symbols : 36 ( 31 usr; 28 con; 0-2 aty)
% ( 198 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 315 ( 238 ^ 77 !; 0 ?; 315 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_17,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
sK2: a > $o ).
thf(func_def_19,type,
sK3: a > $o ).
thf(func_def_20,type,
sK4: a > $o ).
thf(func_def_21,type,
sK5: a ).
thf(func_def_22,type,
sK6: a ).
thf(func_def_23,type,
sK7: ( a > $o ) > a ).
thf(func_def_24,type,
sK8: ( a > $o ) > a ).
thf(func_def_25,type,
sK9: a > $o ).
thf(func_def_26,type,
sK10: a ).
thf(func_def_27,type,
sK11: a ).
thf(f1917,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f32,f49,f64,f70,f74,f96,f103,f217,f257,f279,f296,f353,f364,f416,f1409,f1571,f1592,f1658,f1739,f1749,f1752,f1758,f1798,f1877,f1916]) ).
thf(f1916,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1915]) ).
thf(f1915,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1914]) ).
thf(f1914,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1895,f360]) ).
thf(f360,plain,
( ( ( sK2 @ sK6 )
= $false )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f359]) ).
thf(f359,plain,
( spl0_16
<=> ( ( sK2 @ sK6 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
thf(f1895,plain,
( ( ( sK2 @ sK6 )
= $true )
| ~ spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f1883]) ).
thf(f1883,plain,
( ( ( sK2 @ sK6 )
= $true )
| ( $true = $false )
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f430,f102]) ).
thf(f102,plain,
( ( ( sK3 @ sK6 )
= $true )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f101]) ).
thf(f101,plain,
( spl0_10
<=> ( ( sK3 @ sK6 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f430,plain,
( ! [X1: a] :
( ( ( sK3 @ X1 )
= $false )
| ( ( sK2 @ X1 )
= $true ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f424]) ).
thf(f424,plain,
( ! [X1: a] :
( ( ( sK3 @ X1 )
=> ( sK2 @ X1 ) )
= $true )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f423]) ).
thf(f423,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) )
@ X1 )
= $true )
| ~ spl0_1 ),
inference(pi_clausification,[],[f369]) ).
thf(f369,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) ) )
= $true )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f21]) ).
thf(f21,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) ) ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f20]) ).
thf(f20,plain,
( spl0_1
<=> ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f1877,plain,
( spl0_38
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1864,f1756,f1407]) ).
thf(f1407,plain,
( spl0_38
<=> ( ( sK7 @ ( (=) @ sK6 ) )
= sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
thf(f1756,plain,
( spl0_46
<=> ( ( ( sK6
= ( sK7 @ ( (=) @ sK6 ) ) )
=> ( sK4 @ ( sK7 @ ( (=) @ sK6 ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
thf(f1864,plain,
( ( ( sK7 @ ( (=) @ sK6 ) )
= sK6 )
| ~ spl0_46 ),
inference(equality_proxy_clausification,[],[f1800]) ).
thf(f1800,plain,
( ( ( sK6
= ( sK7 @ ( (=) @ sK6 ) ) )
= $true )
| ~ spl0_46 ),
inference(binary_proxy_clausification,[],[f1757]) ).
thf(f1757,plain,
( ( ( ( sK6
= ( sK7 @ ( (=) @ sK6 ) ) )
=> ( sK4 @ ( sK7 @ ( (=) @ sK6 ) ) ) )
= $false )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f1756]) ).
thf(f1798,plain,
( spl0_42
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f1795,f1674,f1569]) ).
thf(f1569,plain,
( spl0_42
<=> ( $true
= ( sK6
= ( sK8 @ ( (=) @ sK6 ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
thf(f1674,plain,
( spl0_45
<=> ( ( sK6
!= ( sK8 @ ( (=) @ sK6 ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
thf(f1795,plain,
( ( $true
= ( sK6
= ( sK8 @ ( (=) @ sK6 ) ) ) )
| ~ spl0_45 ),
inference(not_proxy_clausification,[],[f1675]) ).
thf(f1675,plain,
( ( ( sK6
!= ( sK8 @ ( (=) @ sK6 ) ) )
= $false )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f1674]) ).
thf(f1758,plain,
( spl0_46
| spl0_41
| spl0_45
| ~ spl0_1
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f1605,f1404,f20,f1674,f1566,f1756]) ).
thf(f1566,plain,
( spl0_41
<=> ! [X0: a] :
( ( ( sK6 = X0 )
=> ( sK3 @ X0 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
thf(f1404,plain,
( spl0_37
<=> ( ( sK2 @ ( sK8 @ ( (=) @ sK6 ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
thf(f1605,plain,
( ! [X0: a] :
( ( ( ( sK6 = X0 )
=> ( sK3 @ X0 ) )
= $true )
| ( ( ( sK6
= ( sK7 @ ( (=) @ sK6 ) ) )
=> ( sK4 @ ( sK7 @ ( (=) @ sK6 ) ) ) )
= $false )
| ( ( sK6
!= ( sK8 @ ( (=) @ sK6 ) ) )
= $false ) )
| ~ spl0_1
| ~ spl0_37 ),
inference(boolean_simplification,[],[f1593]) ).
thf(f1593,plain,
( ! [X0: a] :
( ( ( ( sK6 = X0 )
=> ( sK3 @ X0 ) )
= $true )
| ( ( ( sK6
= ( sK7 @ ( (=) @ sK6 ) ) )
=> ( sK4 @ ( sK7 @ ( (=) @ sK6 ) ) ) )
= $false )
| ( ( ( sK6
= ( sK8 @ ( (=) @ sK6 ) ) )
=> $false )
= $false ) )
| ~ spl0_1
| ~ spl0_37 ),
inference(superposition,[],[f524,f1405]) ).
thf(f1405,plain,
( ( ( sK2 @ ( sK8 @ ( (=) @ sK6 ) ) )
= $false )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f1404]) ).
thf(f524,plain,
( ! [X2: a,X1: a > $o] :
( ( ( ( X1 @ ( sK8 @ X1 ) )
=> ( sK2 @ ( sK8 @ X1 ) ) )
= $false )
| ( $true
= ( ( X1 @ X2 )
=> ( sK3 @ X2 ) ) )
| ( ( ( X1 @ ( sK7 @ X1 ) )
=> ( sK4 @ ( sK7 @ X1 ) ) )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f514]) ).
thf(f514,plain,
( ! [X2: a,X1: a > $o] :
( ( $true
= ( ( X1 @ X2 )
=> ( sK3 @ X2 ) ) )
| ( ( ( X1 @ ( sK7 @ X1 ) )
=> ( sK4 @ ( sK7 @ X1 ) ) )
= $false )
| ( ( ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK2 @ Y0 ) )
@ ( sK8 @ X1 ) )
= $false ) )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f513]) ).
thf(f513,plain,
( ! [X2: a,X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK2 @ Y0 ) ) )
= $false )
| ( ( ( X1 @ ( sK7 @ X1 ) )
=> ( sK4 @ ( sK7 @ X1 ) ) )
= $false )
| ( $true
= ( ( X1 @ X2 )
=> ( sK3 @ X2 ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f510]) ).
thf(f510,plain,
( ! [X2: a,X1: a > $o] :
( ( ( ( X1 @ ( sK7 @ X1 ) )
=> ( sK4 @ ( sK7 @ X1 ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK2 @ Y0 ) ) )
= $false )
| ( $true
= ( ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 ) )
@ X2 ) ) )
| ~ spl0_1 ),
inference(pi_clausification,[],[f505]) ).
thf(f505,plain,
( ! [X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 ) ) )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK2 @ Y0 ) ) )
= $false )
| ( ( ( X1 @ ( sK7 @ X1 ) )
=> ( sK4 @ ( sK7 @ X1 ) ) )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f496]) ).
thf(f496,plain,
( ! [X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 ) ) )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK2 @ Y0 ) ) )
= $false )
| ( ( ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK4 @ Y0 ) )
@ ( sK7 @ X1 ) )
= $false ) )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f487]) ).
thf(f487,plain,
( ! [X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK4 @ Y0 ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK2 @ Y0 ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 ) ) )
= $true ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f453]) ).
thf(f453,plain,
( ! [X1: a > $o] :
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK2 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK4 @ Y0 ) ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 ) ) )
= $true ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f450]) ).
thf(f450,plain,
( ! [X1: a > $o] :
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK2 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK4 @ Y0 ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 ) ) ) )
= $true )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f449]) ).
thf(f449,plain,
( ! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) )
@ X1 )
= $true )
| ~ spl0_1 ),
inference(pi_clausification,[],[f378]) ).
thf(f378,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f372]) ).
thf(f372,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f371]) ).
thf(f371,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
& $true ) )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f21,f369]) ).
thf(f1752,plain,
( ~ spl0_9
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1751]) ).
thf(f1751,plain,
( $false
| ~ spl0_9
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1750]) ).
thf(f1750,plain,
( ( $true = $false )
| ~ spl0_9
| ~ spl0_16 ),
inference(backward_demodulation,[],[f476,f360]) ).
thf(f476,plain,
( ( ( sK2 @ sK6 )
= $true )
| ~ spl0_9 ),
inference(boolean_simplification,[],[f475]) ).
thf(f475,plain,
( ( ( $true
& ( sK2 @ sK6 ) )
= $true )
| ~ spl0_9 ),
inference(backward_demodulation,[],[f99,f474]) ).
thf(f474,plain,
( ( ( sK4 @ sK6 )
= $true )
| ~ spl0_9 ),
inference(binary_proxy_clausification,[],[f99]) ).
thf(f99,plain,
( ( $true
= ( ( sK4 @ sK6 )
& ( sK2 @ sK6 ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f98,plain,
( spl0_9
<=> ( $true
= ( ( sK4 @ sK6 )
& ( sK2 @ sK6 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f1749,plain,
( spl0_16
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1748,f98,f94,f359]) ).
thf(f94,plain,
( spl0_8
<=> ( $false
= ( ( sK4 @ sK6 )
& ( sK2 @ sK6 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f1748,plain,
( ( ( sK2 @ sK6 )
= $false )
| ~ spl0_8
| ~ spl0_9 ),
inference(boolean_simplification,[],[f1747]) ).
thf(f1747,plain,
( ( ( $true
& ( sK2 @ sK6 ) )
= $false )
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f95,f474]) ).
thf(f95,plain,
( ( $false
= ( ( sK4 @ sK6 )
& ( sK2 @ sK6 ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f94]) ).
thf(f1739,plain,
( ~ spl0_7
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1738]) ).
thf(f1738,plain,
( $false
| ~ spl0_7
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f1737]) ).
thf(f1737,plain,
( ( $true = $false )
| ~ spl0_7
| ~ spl0_41 ),
inference(boolean_simplification,[],[f1736]) ).
thf(f1736,plain,
( ( ~ $true = $true )
| ~ spl0_7
| ~ spl0_41 ),
inference(boolean_simplification,[],[f1735]) ).
thf(f1735,plain,
( ( ( sK6 != sK6 )
= $true )
| ~ spl0_7
| ~ spl0_41 ),
inference(boolean_simplification,[],[f1726]) ).
thf(f1726,plain,
( ( ( ( sK6 = sK6 )
=> $false )
= $true )
| ~ spl0_7
| ~ spl0_41 ),
inference(superposition,[],[f1567,f92]) ).
thf(f92,plain,
( ( ( sK3 @ sK6 )
= $false )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f91]) ).
thf(f91,plain,
( spl0_7
<=> ( ( sK3 @ sK6 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f1567,plain,
( ! [X0: a] :
( ( ( sK6 = X0 )
=> ( sK3 @ X0 ) )
= $true )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1566]) ).
thf(f1658,plain,
( spl0_16
| ~ spl0_37
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f1649,f1569,f1404,f359]) ).
thf(f1649,plain,
( ( ( sK2 @ sK6 )
= $false )
| ~ spl0_37
| ~ spl0_42 ),
inference(backward_demodulation,[],[f1405,f1638]) ).
thf(f1638,plain,
( ( ( sK8 @ ( (=) @ sK6 ) )
= sK6 )
| ~ spl0_42 ),
inference(equality_proxy_clausification,[],[f1570]) ).
thf(f1570,plain,
( ( $true
= ( sK6
= ( sK8 @ ( (=) @ sK6 ) ) ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f1569]) ).
thf(f1592,plain,
( spl0_41
| spl0_37
| ~ spl0_1
| ~ spl0_9
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1591,f1407,f98,f20,f1404,f1566]) ).
thf(f1591,plain,
( ! [X0: a] :
( ( ( ( sK6 = X0 )
=> ( sK3 @ X0 ) )
= $true )
| ( ( sK2 @ ( sK8 @ ( (=) @ sK6 ) ) )
= $false ) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f1590]) ).
thf(f1590,plain,
( ! [X0: a] :
( ( ( sK2 @ ( sK8 @ ( (=) @ sK6 ) ) )
= $false )
| ( $true = $false )
| ( ( ( sK6 = X0 )
=> ( sK3 @ X0 ) )
= $true ) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1544,f474]) ).
thf(f1544,plain,
( ! [X0: a] :
( ( ( sK4 @ sK6 )
= $false )
| ( ( ( sK6 = X0 )
=> ( sK3 @ X0 ) )
= $true )
| ( ( sK2 @ ( sK8 @ ( (=) @ sK6 ) ) )
= $false ) )
| ~ spl0_1
| ~ spl0_38 ),
inference(boolean_simplification,[],[f1543]) ).
thf(f1543,plain,
( ! [X0: a] :
( ( ( $true
=> ( sK4 @ sK6 ) )
= $false )
| ( ( sK2 @ ( sK8 @ ( (=) @ sK6 ) ) )
= $false )
| ( ( ( sK6 = X0 )
=> ( sK3 @ X0 ) )
= $true ) )
| ~ spl0_1
| ~ spl0_38 ),
inference(boolean_simplification,[],[f1533]) ).
thf(f1533,plain,
( ! [X0: a] :
( ( ( ( sK6 = X0 )
=> ( sK3 @ X0 ) )
= $true )
| ( ( ( sK6 = sK6 )
=> ( sK4 @ sK6 ) )
= $false )
| ( ( sK2 @ ( sK8 @ ( (=) @ sK6 ) ) )
= $false ) )
| ~ spl0_1
| ~ spl0_38 ),
inference(superposition,[],[f527,f1408]) ).
thf(f1408,plain,
( ( ( sK7 @ ( (=) @ sK6 ) )
= sK6 )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f1407]) ).
thf(f527,plain,
( ! [X2: a,X1: a > $o] :
( ( ( ( X1 @ ( sK7 @ X1 ) )
=> ( sK4 @ ( sK7 @ X1 ) ) )
= $false )
| ( $true
= ( ( X1 @ X2 )
=> ( sK3 @ X2 ) ) )
| ( ( sK2 @ ( sK8 @ X1 ) )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f524]) ).
thf(f1571,plain,
( spl0_41
| spl0_42
| ~ spl0_1
| ~ spl0_9
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1564,f1407,f98,f20,f1569,f1566]) ).
thf(f1564,plain,
( ! [X0: a] :
( ( $true
= ( sK6
= ( sK8 @ ( (=) @ sK6 ) ) ) )
| ( ( ( sK6 = X0 )
=> ( sK3 @ X0 ) )
= $true ) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f1563]) ).
thf(f1563,plain,
( ! [X0: a] :
( ( $true = $false )
| ( ( ( sK6 = X0 )
=> ( sK3 @ X0 ) )
= $true )
| ( $true
= ( sK6
= ( sK8 @ ( (=) @ sK6 ) ) ) ) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1551,f474]) ).
thf(f1551,plain,
( ! [X0: a] :
( ( ( ( sK6 = X0 )
=> ( sK3 @ X0 ) )
= $true )
| ( $true
= ( sK6
= ( sK8 @ ( (=) @ sK6 ) ) ) )
| ( ( sK4 @ sK6 )
= $false ) )
| ~ spl0_1
| ~ spl0_38 ),
inference(boolean_simplification,[],[f1550]) ).
thf(f1550,plain,
( ! [X0: a] :
( ( $true
= ( sK6
= ( sK8 @ ( (=) @ sK6 ) ) ) )
| ( ( ( sK6 = X0 )
=> ( sK3 @ X0 ) )
= $true )
| ( ( $true
=> ( sK4 @ sK6 ) )
= $false ) )
| ~ spl0_1
| ~ spl0_38 ),
inference(boolean_simplification,[],[f1534]) ).
thf(f1534,plain,
( ! [X0: a] :
( ( $true
= ( sK6
= ( sK8 @ ( (=) @ sK6 ) ) ) )
| ( ( ( sK6 = sK6 )
=> ( sK4 @ sK6 ) )
= $false )
| ( ( ( sK6 = X0 )
=> ( sK3 @ X0 ) )
= $true ) )
| ~ spl0_1
| ~ spl0_38 ),
inference(superposition,[],[f528,f1408]) ).
thf(f528,plain,
( ! [X2: a,X1: a > $o] :
( ( ( ( X1 @ ( sK7 @ X1 ) )
=> ( sK4 @ ( sK7 @ X1 ) ) )
= $false )
| ( ( X1 @ ( sK8 @ X1 ) )
= $true )
| ( $true
= ( ( X1 @ X2 )
=> ( sK3 @ X2 ) ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f524]) ).
thf(f1409,plain,
( spl0_37
| spl0_38
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1379,f91,f20,f1407,f1404]) ).
thf(f1379,plain,
( ( ( sK2 @ ( sK8 @ ( (=) @ sK6 ) ) )
= $false )
| ( ( sK7 @ ( (=) @ sK6 ) )
= sK6 )
| ~ spl0_1
| ~ spl0_7 ),
inference(leibniz_equality_elimination,[],[f1240]) ).
thf(f1240,plain,
( ! [X0: a > $o] :
( ( ( sK2 @ ( sK8 @ X0 ) )
= $false )
| ( ( X0 @ sK6 )
= $false )
| ( ( X0 @ ( sK7 @ X0 ) )
= $true ) )
| ~ spl0_1
| ~ spl0_7 ),
inference(not_proxy_clausification,[],[f892]) ).
thf(f892,plain,
( ! [X0: a > $o] :
( ( ( sK2 @ ( sK8 @ X0 ) )
= $false )
| ( ( ~ ( X0 @ sK6 ) )
= $true )
| ( ( X0 @ ( sK7 @ X0 ) )
= $true ) )
| ~ spl0_1
| ~ spl0_7 ),
inference(boolean_simplification,[],[f852]) ).
thf(f852,plain,
( ! [X0: a > $o] :
( ( ( X0 @ ( sK7 @ X0 ) )
= $true )
| ( ( ( X0 @ sK6 )
=> $false )
= $true )
| ( ( sK2 @ ( sK8 @ X0 ) )
= $false ) )
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f542,f92]) ).
thf(f542,plain,
( ! [X2: a,X1: a > $o] :
( ( $true
= ( ( X1 @ X2 )
=> ( sK3 @ X2 ) ) )
| ( ( sK2 @ ( sK8 @ X1 ) )
= $false )
| ( ( X1 @ ( sK7 @ X1 ) )
= $true ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f527]) ).
thf(f416,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f415]) ).
thf(f415,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f414]) ).
thf(f414,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f408,f363]) ).
thf(f363,plain,
( ( ( sK4 @ sK6 )
= $false )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f362]) ).
thf(f362,plain,
( spl0_17
<=> ( ( sK4 @ sK6 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
thf(f408,plain,
( ( ( sK4 @ sK6 )
= $true )
| ~ spl0_1
| ~ spl0_10 ),
inference(boolean_simplification,[],[f407]) ).
thf(f407,plain,
( ( ( $true
=> ( sK4 @ sK6 ) )
= $true )
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f404,f102]) ).
thf(f404,plain,
( ! [X1: a] :
( ( ( sK3 @ X1 )
=> ( sK4 @ X1 ) )
= $true )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f403]) ).
thf(f403,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) )
@ X1 ) )
| ~ spl0_1 ),
inference(pi_clausification,[],[f381]) ).
thf(f381,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
= $true )
| ~ spl0_1 ),
inference(boolean_simplification,[],[f380]) ).
thf(f380,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& $true )
= $true )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f372,f378]) ).
thf(f364,plain,
( spl0_16
| spl0_17
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f357,f94,f362,f359]) ).
thf(f357,plain,
( ( ( sK2 @ sK6 )
= $false )
| ( ( sK4 @ sK6 )
= $false )
| ~ spl0_8 ),
inference(binary_proxy_clausification,[],[f95]) ).
thf(f353,plain,
( ~ spl0_2
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f352]) ).
thf(f352,plain,
( $false
| ~ spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f351]) ).
thf(f351,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f350,f307]) ).
thf(f307,plain,
( ( $false
= ( sK3 @ sK10 ) )
| ~ spl0_14 ),
inference(binary_proxy_clausification,[],[f306]) ).
thf(f306,plain,
( ( ( ( sK9 @ sK10 )
=> ( sK3 @ sK10 ) )
= $false )
| ~ spl0_14 ),
inference(beta_eta_normalization,[],[f305]) ).
thf(f305,plain,
( ( ( ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( sK3 @ Y0 ) )
@ sK10 )
= $false )
| ~ spl0_14 ),
inference(sigma_clausification,[],[f304]) ).
thf(f304,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( sK3 @ Y0 ) ) )
= $false )
| ~ spl0_14 ),
inference(boolean_simplification,[],[f303]) ).
thf(f303,plain,
( ( ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( sK3 @ Y0 ) ) ) )
= $false )
| ~ spl0_14 ),
inference(backward_demodulation,[],[f300,f302]) ).
thf(f302,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( sK2 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( sK4 @ Y0 ) ) ) )
= $true )
| ~ spl0_14 ),
inference(binary_proxy_clausification,[],[f300]) ).
thf(f300,plain,
( ( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( sK2 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( sK4 @ Y0 ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( sK3 @ Y0 ) ) ) )
= $false )
| ~ spl0_14 ),
inference(beta_eta_normalization,[],[f299]) ).
thf(f299,plain,
( ( ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) )
@ sK9 )
= $false )
| ~ spl0_14 ),
inference(sigma_clausification,[],[f275]) ).
thf(f275,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f274]) ).
thf(f274,plain,
( spl0_14
<=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
thf(f350,plain,
( ( $true
= ( sK3 @ sK10 ) )
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f334,f342]) ).
thf(f342,plain,
( ( $true
= ( sK4 @ sK10 ) )
| ~ spl0_14 ),
inference(boolean_simplification,[],[f340]) ).
thf(f340,plain,
( ( ( $true
=> ( sK4 @ sK10 ) )
= $true )
| ~ spl0_14 ),
inference(superposition,[],[f337,f308]) ).
thf(f308,plain,
( ( ( sK9 @ sK10 )
= $true )
| ~ spl0_14 ),
inference(binary_proxy_clausification,[],[f306]) ).
thf(f337,plain,
( ! [X1: a] :
( $true
= ( ( sK9 @ X1 )
=> ( sK4 @ X1 ) ) )
| ~ spl0_14 ),
inference(beta_eta_normalization,[],[f336]) ).
thf(f336,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( sK4 @ Y0 ) )
@ X1 )
= $true )
| ~ spl0_14 ),
inference(pi_clausification,[],[f315]) ).
thf(f315,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( sK4 @ Y0 ) ) )
= $true )
| ~ spl0_14 ),
inference(binary_proxy_clausification,[],[f302]) ).
thf(f334,plain,
( ( ( sK3 @ sK10 )
= ( sK4 @ sK10 ) )
| ~ spl0_2
| ~ spl0_14 ),
inference(boolean_simplification,[],[f332]) ).
thf(f332,plain,
( ( ( ( sK4 @ sK10 )
& $true )
= ( sK3 @ sK10 ) )
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f269,f330]) ).
thf(f330,plain,
( ( ( sK2 @ sK10 )
= $true )
| ~ spl0_14 ),
inference(boolean_simplification,[],[f329]) ).
thf(f329,plain,
( ( ( $true
=> ( sK2 @ sK10 ) )
= $true )
| ~ spl0_14 ),
inference(superposition,[],[f323,f308]) ).
thf(f323,plain,
( ! [X1: a] :
( ( ( sK9 @ X1 )
=> ( sK2 @ X1 ) )
= $true )
| ~ spl0_14 ),
inference(beta_eta_normalization,[],[f322]) ).
thf(f322,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( sK2 @ Y0 ) )
@ X1 )
= $true )
| ~ spl0_14 ),
inference(pi_clausification,[],[f318]) ).
thf(f318,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( sK2 @ Y0 ) ) )
= $true )
| ~ spl0_14 ),
inference(boolean_simplification,[],[f317]) ).
thf(f317,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( sK2 @ Y0 ) ) )
& $true )
= $true )
| ~ spl0_14 ),
inference(backward_demodulation,[],[f302,f315]) ).
thf(f269,plain,
( ! [X1: a] :
( ( sK3 @ X1 )
= ( ( sK4 @ X1 )
& ( sK2 @ X1 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f268]) ).
thf(f268,plain,
( ! [X1: a] :
( ( sK3 @ X1 )
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
& ( sK2 @ Y0 ) )
@ X1 ) )
| ~ spl0_2 ),
inference(argument_congruence,[],[f263]) ).
thf(f263,plain,
( ( ( ^ [Y0: a] :
( ( sK4 @ Y0 )
& ( sK2 @ Y0 ) ) )
= sK3 )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f24]) ).
thf(f24,plain,
( ( ( sK3
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
& ( sK2 @ Y0 ) ) ) )
= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f23]) ).
thf(f23,plain,
( spl0_2
<=> ( ( sK3
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
& ( sK2 @ Y0 ) ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f296,plain,
( ~ spl0_2
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f295]) ).
thf(f295,plain,
( $false
| ~ spl0_2
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f294]) ).
thf(f294,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_15 ),
inference(backward_demodulation,[],[f285,f292]) ).
thf(f292,plain,
( ( ( sK3 @ ( sK7 @ sK3 ) )
= $false )
| ~ spl0_2
| ~ spl0_15 ),
inference(boolean_simplification,[],[f290]) ).
thf(f290,plain,
( ( ( sK3 @ ( sK7 @ sK3 ) )
= ( $false
& ( sK2 @ ( sK7 @ sK3 ) ) ) )
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f269,f284]) ).
thf(f284,plain,
( ( ( sK4 @ ( sK7 @ sK3 ) )
= $false )
| ~ spl0_15 ),
inference(binary_proxy_clausification,[],[f283]) ).
thf(f283,plain,
( ( ( ( sK3 @ ( sK7 @ sK3 ) )
=> ( sK4 @ ( sK7 @ sK3 ) ) )
= $false )
| ~ spl0_15 ),
inference(beta_eta_normalization,[],[f282]) ).
thf(f282,plain,
( ( ( ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) )
@ ( sK7 @ sK3 ) )
= $false )
| ~ spl0_15 ),
inference(sigma_clausification,[],[f278]) ).
thf(f278,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
= $false )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f277]) ).
thf(f277,plain,
( spl0_15
<=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
thf(f285,plain,
( ( ( sK3 @ ( sK7 @ sK3 ) )
= $true )
| ~ spl0_15 ),
inference(binary_proxy_clausification,[],[f283]) ).
thf(f279,plain,
( spl0_14
| spl0_15
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f272,f47,f277,f274]) ).
thf(f47,plain,
( spl0_6
<=> ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f272,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
= $false )
| ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f48]) ).
thf(f48,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) ) )
= $false )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f47]) ).
thf(f257,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f256]) ).
thf(f256,plain,
( $false
| ~ spl0_7
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f255]) ).
thf(f255,plain,
( ( $true = $false )
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f102,f92]) ).
thf(f217,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f216]) ).
thf(f216,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f215]) ).
thf(f215,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f24,f31]) ).
thf(f31,plain,
( ( ( sK3
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
& ( sK2 @ Y0 ) ) ) )
= $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f30]) ).
thf(f30,plain,
( spl0_4
<=> ( ( sK3
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
& ( sK2 @ Y0 ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f103,plain,
( spl0_9
| spl0_10
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f88,f30,f101,f98]) ).
thf(f88,plain,
( ( $true
= ( ( sK4 @ sK6 )
& ( sK2 @ sK6 ) ) )
| ( ( sK3 @ sK6 )
= $true )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f83]) ).
thf(f83,plain,
( ( ( sK3 @ sK6 )
!= ( ( sK4 @ sK6 )
& ( sK2 @ sK6 ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f82]) ).
thf(f82,plain,
( ( ( sK3 @ sK6 )
!= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
& ( sK2 @ Y0 ) )
@ sK6 ) )
| ~ spl0_4 ),
inference(negative_extensionality,[],[f81]) ).
thf(f81,plain,
( ( ( ^ [Y0: a] :
( ( sK4 @ Y0 )
& ( sK2 @ Y0 ) ) )
!= sK3 )
| ~ spl0_4 ),
inference(equality_proxy_clausification,[],[f31]) ).
thf(f96,plain,
( spl0_7
| spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f89,f30,f94,f91]) ).
thf(f89,plain,
( ( $false
= ( ( sK4 @ sK6 )
& ( sK2 @ sK6 ) ) )
| ( ( sK3 @ sK6 )
= $false )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f83]) ).
thf(f74,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f73]) ).
thf(f73,plain,
( $false
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f72]) ).
thf(f72,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(boolean_simplification,[],[f71]) ).
thf(f71,plain,
( ( ( $false
& ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f21,f48]) ).
thf(f70,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f69]) ).
thf(f69,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f68]) ).
thf(f68,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_5 ),
inference(boolean_simplification,[],[f67]) ).
thf(f67,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
& $false )
= $true )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f21,f45]) ).
thf(f45,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) ) )
= $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f44]) ).
thf(f44,plain,
( spl0_5
<=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f64,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f63]) ).
thf(f63,plain,
( $false
| ~ spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f62]) ).
thf(f62,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_5 ),
inference(backward_demodulation,[],[f55,f61]) ).
thf(f61,plain,
( ( ( sK3 @ sK5 )
= $false )
| ~ spl0_2
| ~ spl0_5 ),
inference(boolean_simplification,[],[f60]) ).
thf(f60,plain,
( ( ( ( sK4 @ sK5 )
& $false )
= ( sK3 @ sK5 ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f39,f54]) ).
thf(f54,plain,
( ( ( sK2 @ sK5 )
= $false )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f53]) ).
thf(f53,plain,
( ( ( ( sK3 @ sK5 )
=> ( sK2 @ sK5 ) )
= $false )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f52]) ).
thf(f52,plain,
( ( ( ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) )
@ sK5 )
= $false )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f45]) ).
thf(f39,plain,
( ! [X1: a] :
( ( sK3 @ X1 )
= ( ( sK4 @ X1 )
& ( sK2 @ X1 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f38]) ).
thf(f38,plain,
( ! [X1: a] :
( ( sK3 @ X1 )
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
& ( sK2 @ Y0 ) )
@ X1 ) )
| ~ spl0_2 ),
inference(argument_congruence,[],[f35]) ).
thf(f35,plain,
( ( ( ^ [Y0: a] :
( ( sK4 @ Y0 )
& ( sK2 @ Y0 ) ) )
= sK3 )
| ~ spl0_2 ),
inference(equality_proxy_clausification,[],[f24]) ).
thf(f55,plain,
( ( ( sK3 @ sK5 )
= $true )
| ~ spl0_5 ),
inference(binary_proxy_clausification,[],[f53]) ).
thf(f49,plain,
( spl0_5
| spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f42,f27,f47,f44]) ).
thf(f27,plain,
( spl0_3
<=> ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f42,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) ) )
= $false )
| ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) ) )
= $false )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f28]) ).
thf(f28,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f27]) ).
thf(f32,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f30,f27]) ).
thf(f18,plain,
( ( ( sK3
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
& ( sK2 @ Y0 ) ) ) )
= $false )
| ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f16]) ).
thf(f16,plain,
( ( sK3
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
& ( sK2 @ Y0 ) ) ) )
!= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f15]) ).
thf(f15,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) ) ) )
= ( sK3
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
& ( sK2 @ Y0 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f14]) ).
thf(f14,plain,
( ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 )
=> ( sK2 @ Y1 ) ) ) )
= ( sK3
= ( ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( sK2 @ Y1 ) ) ) ) )
@ sK4 )
= $false ),
inference(sigma_clausification,[],[f13]) ).
thf(f13,plain,
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 )
=> ( sK2 @ Y1 ) ) ) )
= ( sK3
= ( ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( sK2 @ Y1 ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f12]) ).
thf(f12,plain,
( ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( sK2 @ Y2 ) ) ) )
= ( Y0
= ( ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( sK2 @ Y2 ) ) ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[],[f11]) ).
thf(f11,plain,
( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( sK2 @ Y2 ) ) ) )
= ( Y0
= ( ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( sK2 @ Y2 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f10]) ).
thf(f10,plain,
( $false
= ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y0 @ Y3 ) ) ) )
= ( Y1
= ( ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( Y0 @ Y3 ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f7]) ).
thf(f7,plain,
( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y0 @ Y3 ) ) ) )
= ( Y1
= ( ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( Y0 @ Y3 ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f6]) ).
thf(f6,plain,
( ( ~ ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y0 @ Y3 ) ) ) )
= ( Y1
= ( ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( Y0 @ Y3 ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( ( ~ ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y0 @ Y3 ) ) ) )
= ( Y1
= ( ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( Y0 @ Y3 ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X3: a] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
& ! [X4: a > $o] :
( ( ! [X5: a] :
( ( X4 @ X5 )
=> ( X0 @ X5 ) )
& ! [X6: a] :
( ( X4 @ X6 )
=> ( X2 @ X6 ) ) )
=> ! [X7: a] :
( ( X4 @ X7 )
=> ( X1 @ X7 ) ) )
& ! [X8: a] :
( ( X1 @ X8 )
=> ( X0 @ X8 ) ) )
<=> ( X1
= ( ^ [X9: a] :
( ( X2 @ X9 )
& ( X0 @ X9 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X2: a > $o,X0: a > $o,X1: a > $o] :
( ( ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ X3 ) )
& ! [X4: a > $o] :
( ( ! [X3: a] :
( ( X4 @ X3 )
=> ( X2 @ X3 ) )
& ! [X3: a] :
( ( X4 @ X3 )
=> ( X1 @ X3 ) ) )
=> ! [X3: a] :
( ( X4 @ X3 )
=> ( X0 @ X3 ) ) )
& ! [X3: a] :
( ( X0 @ X3 )
=> ( X2 @ X3 ) ) )
<=> ( X0
= ( ^ [X3: a] :
( ( X1 @ X3 )
& ( X2 @ X3 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X2: a > $o,X0: a > $o,X1: a > $o] :
( ( ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ X3 ) )
& ! [X4: a > $o] :
( ( ! [X3: a] :
( ( X4 @ X3 )
=> ( X2 @ X3 ) )
& ! [X3: a] :
( ( X4 @ X3 )
=> ( X1 @ X3 ) ) )
=> ! [X3: a] :
( ( X4 @ X3 )
=> ( X0 @ X3 ) ) )
& ! [X3: a] :
( ( X0 @ X3 )
=> ( X2 @ X3 ) ) )
<=> ( X0
= ( ^ [X3: a] :
( ( X1 @ X3 )
& ( X2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_57_pme) ).
thf(f25,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f23,f20]) ).
thf(f17,plain,
( ( ( sK3
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
& ( sK2 @ Y0 ) ) ) )
= $true )
| ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK4 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK4 @ Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK2 @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET598^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 12:49:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.35 Running higher-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.37 % (23593)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % (23595)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.12/0.38 % (23596)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (23597)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (23596)Instruction limit reached!
% 0.12/0.38 % (23596)------------------------------
% 0.12/0.38 % (23596)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (23596)Termination reason: Unknown
% 0.12/0.38 % (23596)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (23596)Memory used [KB]: 1023
% 0.12/0.38 % (23596)Time elapsed: 0.004 s
% 0.12/0.38 % (23596)Instructions burned: 3 (million)
% 0.12/0.38 % (23596)------------------------------
% 0.12/0.38 % (23596)------------------------------
% 0.12/0.38 % (23597)Instruction limit reached!
% 0.12/0.38 % (23597)------------------------------
% 0.12/0.38 % (23597)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (23597)Termination reason: Unknown
% 0.12/0.38 % (23597)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (23597)Memory used [KB]: 5500
% 0.12/0.38 % (23597)Time elapsed: 0.004 s
% 0.12/0.38 % (23597)Instructions burned: 2 (million)
% 0.12/0.38 % (23597)------------------------------
% 0.12/0.38 % (23597)------------------------------
% 0.12/0.38 % (23598)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.21/0.38 % (23594)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.38 % (23598)Refutation not found, incomplete strategy
% 0.21/0.38 % (23598)------------------------------
% 0.21/0.38 % (23598)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38 % (23598)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38 % (23594)Instruction limit reached!
% 0.21/0.38 % (23594)------------------------------
% 0.21/0.38 % (23594)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38
% 0.21/0.38 % (23598)Memory used [KB]: 5500
% 0.21/0.38 % (23598)Time elapsed: 0.006 s
% 0.21/0.38 % (23598)Instructions burned: 5 (million)
% 0.21/0.38 % (23598)------------------------------
% 0.21/0.38 % (23598)------------------------------
% 0.21/0.38 % (23594)Termination reason: Unknown
% 0.21/0.38 % (23594)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (23594)Memory used [KB]: 5500
% 0.21/0.38 % (23594)Time elapsed: 0.005 s
% 0.21/0.38 % (23594)Instructions burned: 4 (million)
% 0.21/0.38 % (23594)------------------------------
% 0.21/0.38 % (23594)------------------------------
% 0.21/0.39 % (23595)Refutation not found, incomplete strategy
% 0.21/0.39 % (23595)------------------------------
% 0.21/0.39 % (23595)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (23595)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.39
% 0.21/0.39
% 0.21/0.39 % (23595)Memory used [KB]: 5628
% 0.21/0.39 % (23595)Time elapsed: 0.014 s
% 0.21/0.39 % (23595)Instructions burned: 13 (million)
% 0.21/0.39 % (23595)------------------------------
% 0.21/0.39 % (23595)------------------------------
% 0.21/0.39 % (23599)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.39 % (23600)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.39 % (23600)Instruction limit reached!
% 0.21/0.39 % (23600)------------------------------
% 0.21/0.39 % (23600)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (23600)Termination reason: Unknown
% 0.21/0.39 % (23600)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (23600)Memory used [KB]: 5500
% 0.21/0.39 % (23600)Time elapsed: 0.003 s
% 0.21/0.39 % (23600)Instructions burned: 3 (million)
% 0.21/0.39 % (23600)------------------------------
% 0.21/0.39 % (23600)------------------------------
% 0.21/0.39 % (23601)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)
% 0.21/0.40 % (23603)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)
% 0.21/0.40 % (23602)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)
% 0.21/0.40 % (23603)Instruction limit reached!
% 0.21/0.40 % (23603)------------------------------
% 0.21/0.40 % (23603)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (23603)Termination reason: Unknown
% 0.21/0.40 % (23603)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (23603)Memory used [KB]: 5500
% 0.21/0.40 % (23603)Time elapsed: 0.004 s
% 0.21/0.40 % (23603)Instructions burned: 4 (million)
% 0.21/0.40 % (23603)------------------------------
% 0.21/0.40 % (23603)------------------------------
% 0.21/0.40 % (23599)Instruction limit reached!
% 0.21/0.40 % (23599)------------------------------
% 0.21/0.40 % (23599)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (23599)Termination reason: Unknown
% 0.21/0.40 % (23599)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (23599)Memory used [KB]: 5628
% 0.21/0.40 % (23599)Time elapsed: 0.015 s
% 0.21/0.40 % (23599)Instructions burned: 19 (million)
% 0.21/0.40 % (23599)------------------------------
% 0.21/0.40 % (23599)------------------------------
% 0.21/0.40 % (23604)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)
% 0.21/0.41 % (23605)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (23602)Instruction limit reached!
% 0.21/0.41 % (23602)------------------------------
% 0.21/0.41 % (23602)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (23602)Termination reason: Unknown
% 0.21/0.41 % (23602)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (23602)Memory used [KB]: 5756
% 0.21/0.41 % (23602)Time elapsed: 0.013 s
% 0.21/0.41 % (23602)Instructions burned: 15 (million)
% 0.21/0.41 % (23602)------------------------------
% 0.21/0.41 % (23602)------------------------------
% 0.21/0.41 % (23605)Instruction limit reached!
% 0.21/0.41 % (23605)------------------------------
% 0.21/0.41 % (23605)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (23605)Termination reason: Unknown
% 0.21/0.41 % (23605)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (23605)Memory used [KB]: 1023
% 0.21/0.41 % (23605)Time elapsed: 0.006 s
% 0.21/0.41 % (23605)Instructions burned: 8 (million)
% 0.21/0.41 % (23605)------------------------------
% 0.21/0.41 % (23605)------------------------------
% 0.21/0.42 % (23607)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)
% 0.21/0.42 % (23606)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (23601)Instruction limit reached!
% 0.21/0.42 % (23601)------------------------------
% 0.21/0.42 % (23601)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (23601)Termination reason: Unknown
% 0.21/0.42 % (23601)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (23601)Memory used [KB]: 5628
% 0.21/0.42 % (23601)Time elapsed: 0.027 s
% 0.21/0.42 % (23601)Instructions burned: 37 (million)
% 0.21/0.42 % (23601)------------------------------
% 0.21/0.42 % (23601)------------------------------
% 0.21/0.42 % (23607)Instruction limit reached!
% 0.21/0.42 % (23607)------------------------------
% 0.21/0.42 % (23607)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (23607)Termination reason: Unknown
% 0.21/0.42 % (23607)Termination phase: Twee Goal Transformation
% 0.21/0.42
% 0.21/0.42 % (23607)Memory used [KB]: 1023
% 0.21/0.42 % (23607)Time elapsed: 0.004 s
% 0.21/0.42 % (23607)Instructions burned: 3 (million)
% 0.21/0.42 % (23607)------------------------------
% 0.21/0.42 % (23607)------------------------------
% 0.21/0.43 % (23608)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)
% 0.21/0.43 % (23606)Instruction limit reached!
% 0.21/0.43 % (23606)------------------------------
% 0.21/0.43 % (23606)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (23606)Termination reason: Unknown
% 0.21/0.43 % (23606)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (23606)Memory used [KB]: 5756
% 0.21/0.43 % (23606)Time elapsed: 0.011 s
% 0.21/0.43 % (23606)Instructions burned: 16 (million)
% 0.21/0.43 % (23606)------------------------------
% 0.21/0.43 % (23606)------------------------------
% 0.21/0.43 % (23608)Instruction limit reached!
% 0.21/0.43 % (23608)------------------------------
% 0.21/0.43 % (23608)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (23608)Termination reason: Unknown
% 0.21/0.43 % (23608)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (23608)Memory used [KB]: 1023
% 0.21/0.43 % (23608)Time elapsed: 0.004 s
% 0.21/0.43 % (23608)Instructions burned: 3 (million)
% 0.21/0.43 % (23608)------------------------------
% 0.21/0.43 % (23608)------------------------------
% 0.21/0.43 % (23609)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)
% 0.21/0.43 % (23610)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)
% 0.21/0.43 % (23611)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.44 % (23609)Instruction limit reached!
% 0.21/0.44 % (23609)------------------------------
% 0.21/0.44 % (23609)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (23609)Termination reason: Unknown
% 0.21/0.44 % (23609)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (23609)Memory used [KB]: 5500
% 0.21/0.44 % (23609)Time elapsed: 0.006 s
% 0.21/0.44 % (23609)Instructions burned: 7 (million)
% 0.21/0.44 % (23609)------------------------------
% 0.21/0.44 % (23609)------------------------------
% 0.21/0.44 % (23610)Instruction limit reached!
% 0.21/0.44 % (23610)------------------------------
% 0.21/0.44 % (23610)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (23610)Termination reason: Unknown
% 0.21/0.44 % (23610)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (23610)Memory used [KB]: 5500
% 0.21/0.44 % (23610)Time elapsed: 0.005 s
% 0.21/0.44 % (23610)Instructions burned: 3 (million)
% 0.21/0.44 % (23610)------------------------------
% 0.21/0.44 % (23610)------------------------------
% 0.21/0.44 % (23611)Instruction limit reached!
% 0.21/0.44 % (23611)------------------------------
% 0.21/0.44 % (23611)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (23611)Termination reason: Unknown
% 0.21/0.44 % (23611)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (23611)Memory used [KB]: 5500
% 0.21/0.44 % (23611)Time elapsed: 0.026 s
% 0.21/0.44 % (23611)Instructions burned: 4 (million)
% 0.21/0.44 % (23611)------------------------------
% 0.21/0.44 % (23611)------------------------------
% 0.21/0.44 % (23613)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.44 % (23612)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)
% 0.21/0.45 % (23614)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.45 % (23616)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)
% 0.21/0.45 % (23615)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)
% 0.21/0.46 % (23612)Instruction limit reached!
% 0.21/0.46 % (23612)------------------------------
% 0.21/0.46 % (23612)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (23612)Termination reason: Unknown
% 0.21/0.46 % (23612)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (23612)Memory used [KB]: 5628
% 0.21/0.46 % (23612)Time elapsed: 0.015 s
% 0.21/0.46 % (23612)Instructions burned: 18 (million)
% 0.21/0.46 % (23612)------------------------------
% 0.21/0.46 % (23612)------------------------------
% 0.21/0.46 % (23614)Instruction limit reached!
% 0.21/0.46 % (23614)------------------------------
% 0.21/0.46 % (23614)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (23614)Termination reason: Unknown
% 0.21/0.46 % (23614)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (23614)Memory used [KB]: 5500
% 0.21/0.46 % (23614)Time elapsed: 0.006 s
% 0.21/0.46 % (23614)Instructions burned: 7 (million)
% 0.21/0.46 % (23614)------------------------------
% 0.21/0.46 % (23614)------------------------------
% 0.21/0.47 % (23617)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.47 % (23616)Instruction limit reached!
% 0.21/0.47 % (23616)------------------------------
% 0.21/0.47 % (23616)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (23616)Termination reason: Unknown
% 0.21/0.47 % (23616)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (23616)Memory used [KB]: 5756
% 0.21/0.47 % (23616)Time elapsed: 0.017 s
% 0.21/0.47 % (23616)Instructions burned: 21 (million)
% 0.21/0.47 % (23616)------------------------------
% 0.21/0.47 % (23616)------------------------------
% 0.21/0.47 % (23618)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)
% 0.21/0.47 % (23617)Instruction limit reached!
% 0.21/0.47 % (23617)------------------------------
% 0.21/0.47 % (23617)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (23617)Termination reason: Unknown
% 0.21/0.47 % (23617)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (23617)Memory used [KB]: 5500
% 0.21/0.47 % (23617)Time elapsed: 0.004 s
% 0.21/0.47 % (23617)Instructions burned: 6 (million)
% 0.21/0.47 % (23617)------------------------------
% 0.21/0.47 % (23617)------------------------------
% 0.21/0.47 % (23618)Instruction limit reached!
% 0.21/0.47 % (23618)------------------------------
% 0.21/0.47 % (23618)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (23618)Termination reason: Unknown
% 0.21/0.47 % (23618)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (23618)Memory used [KB]: 5500
% 0.21/0.47 % (23618)Time elapsed: 0.004 s
% 0.21/0.47 % (23618)Instructions burned: 8 (million)
% 0.21/0.47 % (23618)------------------------------
% 0.21/0.47 % (23618)------------------------------
% 0.21/0.47 % (23593)Instruction limit reached!
% 0.21/0.47 % (23593)------------------------------
% 0.21/0.47 % (23593)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (23593)Termination reason: Unknown
% 0.21/0.47 % (23593)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (23593)Memory used [KB]: 7164
% 0.21/0.47 % (23593)Time elapsed: 0.106 s
% 0.21/0.47 % (23593)Instructions burned: 185 (million)
% 0.21/0.47 % (23593)------------------------------
% 0.21/0.47 % (23593)------------------------------
% 0.21/0.48 % (23621)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.21/0.48 % (23619)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.48 % (23620)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.21/0.48 % (23622)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.21/0.49 % (23621)Instruction limit reached!
% 0.21/0.49 % (23621)------------------------------
% 0.21/0.49 % (23621)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (23621)Termination reason: Unknown
% 0.21/0.49 % (23621)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (23621)Memory used [KB]: 5628
% 0.21/0.49 % (23621)Time elapsed: 0.009 s
% 0.21/0.49 % (23621)Instructions burned: 20 (million)
% 0.21/0.49 % (23621)------------------------------
% 0.21/0.49 % (23621)------------------------------
% 0.21/0.50 % (23623)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.50 % (23623)Instruction limit reached!
% 0.21/0.50 % (23623)------------------------------
% 0.21/0.50 % (23623)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.50 % (23623)Termination reason: Unknown
% 0.21/0.50 % (23623)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (23623)Memory used [KB]: 5756
% 0.21/0.50 % (23623)Time elapsed: 0.008 s
% 0.21/0.50 % (23623)Instructions burned: 18 (million)
% 0.21/0.50 % (23623)------------------------------
% 0.21/0.50 % (23623)------------------------------
% 0.21/0.51 % (23624)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.51 % (23624)Instruction limit reached!
% 0.21/0.51 % (23624)------------------------------
% 0.21/0.51 % (23624)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.51 % (23624)Termination reason: Unknown
% 0.21/0.51 % (23624)Termination phase: Property scanning
% 0.21/0.51
% 0.21/0.51 % (23624)Memory used [KB]: 1023
% 0.21/0.51 % (23624)Time elapsed: 0.002 s
% 0.21/0.51 % (23624)Instructions burned: 3 (million)
% 0.21/0.51 % (23624)------------------------------
% 0.21/0.51 % (23624)------------------------------
% 0.21/0.52 % (23625)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.21/0.53 % (23604)First to succeed.
% 1.21/0.53 % (23625)Instruction limit reached!
% 1.21/0.53 % (23625)------------------------------
% 1.21/0.53 % (23625)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.21/0.53 % (23625)Termination reason: Unknown
% 1.21/0.53 % (23625)Termination phase: Saturation
% 1.21/0.53
% 1.21/0.53 % (23625)Memory used [KB]: 5756
% 1.21/0.53 % (23625)Time elapsed: 0.012 s
% 1.21/0.53 % (23625)Instructions burned: 31 (million)
% 1.21/0.53 % (23625)------------------------------
% 1.21/0.53 % (23625)------------------------------
% 1.21/0.53 % (23604)Refutation found. Thanks to Tanya!
% 1.21/0.53 % SZS status Theorem for theBenchmark
% 1.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.21/0.53 % (23604)------------------------------
% 1.21/0.53 % (23604)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.21/0.53 % (23604)Termination reason: Refutation
% 1.21/0.53
% 1.21/0.53 % (23604)Memory used [KB]: 6268
% 1.21/0.53 % (23604)Time elapsed: 0.145 s
% 1.21/0.53 % (23604)Instructions burned: 203 (million)
% 1.21/0.53 % (23604)------------------------------
% 1.21/0.53 % (23604)------------------------------
% 1.21/0.53 % (23592)Success in time 0.17 s
%------------------------------------------------------------------------------