TSTP Solution File: SEV261^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV261^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n032.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 16:02:31 EDT 2024
% Result : Theorem 0.14s 0.35s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 28
% Syntax : Number of formulae : 162 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 1267 ( 418 equ; 0 cnn)
% Maximal formula atoms : 19 ( 7 avg)
% Number of connectives : 1107 ( 360 ~; 308 |; 160 &; 210 @)
% ( 20 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 148 ( 148 >; 0 *; 0 +; 0 <<)
% Number of symbols : 91 ( 87 usr; 77 con; 0-2 aty)
% ( 0 !!; 20 ??; 0 @@+; 0 @@-)
% Number of variables : 448 ( 329 ^ 77 !; 42 ?; 448 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_13,type,
sK3: a > $o ).
thf(func_def_14,type,
sK4: a > $o ).
thf(func_def_15,type,
sK5: ( a > $o ) > $o ).
thf(func_def_16,type,
sK6: a > $o ).
thf(func_def_17,type,
sK7: a > $o ).
thf(func_def_18,type,
sK8: a > $o ).
thf(func_def_19,type,
sK9: a > $o ).
thf(func_def_21,type,
ph11:
!>[X0: $tType] : X0 ).
thf(func_def_22,type,
sK12: a ).
thf(func_def_23,type,
sK13: a ).
thf(func_def_24,type,
sK14: a > a > $o ).
thf(func_def_25,type,
sK15: a ).
thf(func_def_26,type,
sK16: a > $o ).
thf(func_def_27,type,
sK17: a ).
thf(func_def_28,type,
sK18: a ).
thf(func_def_29,type,
sK19: a ).
thf(func_def_30,type,
sK20: a ).
thf(func_def_31,type,
sK21: a ).
thf(func_def_48,type,
sK22: a ).
thf(func_def_49,type,
sK23: a ).
thf(func_def_50,type,
sK24: a ).
thf(func_def_51,type,
sK25: a ).
thf(func_def_52,type,
sK26: a ).
thf(func_def_53,type,
sK27: a ).
thf(func_def_54,type,
sK28: a ).
thf(func_def_55,type,
sK29: a ).
thf(func_def_56,type,
sK30: a ).
thf(func_def_57,type,
sK31: a ).
thf(func_def_58,type,
sK32: a ).
thf(func_def_59,type,
sK33: a ).
thf(func_def_60,type,
sK34: a ).
thf(func_def_61,type,
sK35: a ).
thf(func_def_62,type,
sK36: a ).
thf(func_def_63,type,
sK37: a ).
thf(func_def_64,type,
sK38: a ).
thf(func_def_65,type,
sK39: a ).
thf(func_def_66,type,
sK40: a ).
thf(func_def_67,type,
sK41: a ).
thf(func_def_68,type,
sK42: a ).
thf(func_def_69,type,
sK43: a ).
thf(func_def_70,type,
sK44: a ).
thf(func_def_71,type,
sK45: a ).
thf(func_def_72,type,
sK46: a ).
thf(func_def_73,type,
sK47: a > $o ).
thf(func_def_74,type,
sK48: a ).
thf(func_def_75,type,
sK49: a ).
thf(func_def_76,type,
sK50: a ).
thf(func_def_77,type,
sK51: a ).
thf(func_def_78,type,
sK52: a ).
thf(func_def_79,type,
sK53: a ).
thf(func_def_80,type,
sK54: a > $o ).
thf(func_def_81,type,
sK55: a ).
thf(func_def_82,type,
sK56: a ).
thf(func_def_83,type,
sK57: a ).
thf(func_def_84,type,
sK58: a ).
thf(func_def_85,type,
sK59: a ).
thf(func_def_86,type,
sK60: a ).
thf(func_def_87,type,
sK61: a ).
thf(func_def_88,type,
sK62: a ).
thf(func_def_89,type,
sK63: a ).
thf(func_def_90,type,
sK64: a ).
thf(func_def_91,type,
sK65: a > $o ).
thf(func_def_92,type,
sK66: a ).
thf(func_def_93,type,
sK67: a ).
thf(f1780,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f67,f81,f86,f90,f95,f96,f105,f106,f111,f116,f121,f130,f182,f209,f276,f688,f850,f866,f884,f1762]) ).
thf(f1762,plain,
( spl10_10
| ~ spl10_13
| ~ spl10_16 ),
inference(avatar_contradiction_clause,[],[f1761]) ).
thf(f1761,plain,
( $false
| spl10_10
| ~ spl10_13
| ~ spl10_16 ),
inference(trivial_inequality_removal,[],[f1747]) ).
thf(f1747,plain,
( ( $false != $false )
| spl10_10
| ~ spl10_13
| ~ spl10_16 ),
inference(superposition,[],[f291,f1736]) ).
thf(f1736,plain,
( ! [X0: a] :
( ( sK7 @ X0 )
= $false )
| ~ spl10_13
| ~ spl10_16 ),
inference(trivial_inequality_removal,[],[f1713]) ).
thf(f1713,plain,
( ! [X0: a] :
( ( ( sK7 @ X0 )
= $false )
| ( $true = $false ) )
| ~ spl10_13
| ~ spl10_16 ),
inference(superposition,[],[f635,f919]) ).
thf(f919,plain,
( ! [X1: a] :
( $false
= ( sK6 @ X1 ) )
| ~ spl10_16 ),
inference(beta_eta_normalization,[],[f898]) ).
thf(f898,plain,
( ! [X1: a] :
( ( ^ [Y0: a] : $false
@ X1 )
= ( sK6 @ X1 ) )
| ~ spl10_16 ),
inference(argument_congruence,[],[f125]) ).
thf(f125,plain,
( ( ( ^ [Y0: a] : $false )
= sK6 )
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f123,plain,
( spl10_16
<=> ( ( ^ [Y0: a] : $false )
= sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).
thf(f635,plain,
( ! [X1: a] :
( ( $true
= ( sK6 @ X1 ) )
| ( $false
= ( sK7 @ X1 ) ) )
| ~ spl10_13 ),
inference(binary_proxy_clausification,[],[f631]) ).
thf(f631,plain,
( ! [X1: a] :
( ( $false
= ( sK7 @ X1 ) )
| ( ( ( sK6 @ X1 )
& ( sK8 @ X1 ) )
= $true ) )
| ~ spl10_13 ),
inference(binary_proxy_clausification,[],[f630]) ).
thf(f630,plain,
( ! [X1: a] :
( ( ( sK6 @ X1 )
& ( sK8 @ X1 ) )
= ( sK7 @ X1 ) )
| ~ spl10_13 ),
inference(beta_eta_normalization,[],[f605]) ).
thf(f605,plain,
( ! [X1: a] :
( ( sK7 @ X1 )
= ( ^ [Y0: a] :
( ( sK6 @ Y0 )
& ( sK8 @ Y0 ) )
@ X1 ) )
| ~ spl10_13 ),
inference(argument_congruence,[],[f110]) ).
thf(f110,plain,
( ( ( ^ [Y0: a] :
( ( sK6 @ Y0 )
& ( sK8 @ Y0 ) ) )
= sK7 )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f108]) ).
thf(f108,plain,
( spl10_13
<=> ( ( ^ [Y0: a] :
( ( sK6 @ Y0 )
& ( sK8 @ Y0 ) ) )
= sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
thf(f291,plain,
( ( ( sK7 @ sK23 )
!= $false )
| spl10_10 ),
inference(beta_eta_normalization,[],[f289]) ).
thf(f289,plain,
( ( ( sK7 @ sK23 )
!= ( ^ [Y0: a] : $false
@ sK23 ) )
| spl10_10 ),
inference(negative_extensionality,[],[f94]) ).
thf(f94,plain,
( ( ( ^ [Y0: a] : $false )
!= sK7 )
| spl10_10 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f92,plain,
( spl10_10
<=> ( ( ^ [Y0: a] : $false )
= sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
thf(f884,plain,
( ~ spl10_17
| ~ spl10_55 ),
inference(avatar_contradiction_clause,[],[f883]) ).
thf(f883,plain,
( $false
| ~ spl10_17
| ~ spl10_55 ),
inference(trivial_inequality_removal,[],[f879]) ).
thf(f879,plain,
( ( $true = $false )
| ~ spl10_17
| ~ spl10_55 ),
inference(superposition,[],[f849,f604]) ).
thf(f604,plain,
( ! [X1: a] :
( $true
= ( sK6 @ X1 ) )
| ~ spl10_17 ),
inference(beta_eta_normalization,[],[f581]) ).
thf(f581,plain,
( ! [X1: a] :
( ( sK6 @ X1 )
= ( ^ [Y0: a] : $true
@ X1 ) )
| ~ spl10_17 ),
inference(argument_congruence,[],[f129]) ).
thf(f129,plain,
( ( sK6
= ( ^ [Y0: a] : $true ) )
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f127]) ).
thf(f127,plain,
( spl10_17
<=> ( sK6
= ( ^ [Y0: a] : $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
thf(f849,plain,
( ( $false
= ( sK6 @ sK22 ) )
| ~ spl10_55 ),
inference(avatar_component_clause,[],[f847]) ).
thf(f847,plain,
( spl10_55
<=> ( $false
= ( sK6 @ sK22 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_55])]) ).
thf(f866,plain,
( ~ spl10_12
| ~ spl10_54 ),
inference(avatar_contradiction_clause,[],[f865]) ).
thf(f865,plain,
( $false
| ~ spl10_12
| ~ spl10_54 ),
inference(trivial_inequality_removal,[],[f859]) ).
thf(f859,plain,
( ( $true = $false )
| ~ spl10_12
| ~ spl10_54 ),
inference(superposition,[],[f752,f845]) ).
thf(f845,plain,
( ( $false
= ( sK8 @ sK22 ) )
| ~ spl10_54 ),
inference(avatar_component_clause,[],[f843]) ).
thf(f843,plain,
( spl10_54
<=> ( $false
= ( sK8 @ sK22 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_54])]) ).
thf(f752,plain,
( ! [X1: a] :
( $true
= ( sK8 @ X1 ) )
| ~ spl10_12 ),
inference(beta_eta_normalization,[],[f733]) ).
thf(f733,plain,
( ! [X1: a] :
( ( sK8 @ X1 )
= ( ^ [Y0: a] : $true
@ X1 ) )
| ~ spl10_12 ),
inference(argument_congruence,[],[f104]) ).
thf(f104,plain,
( ( ( ^ [Y0: a] : $true )
= sK8 )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f102,plain,
( spl10_12
<=> ( ( ^ [Y0: a] : $true )
= sK8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
thf(f850,plain,
( spl10_54
| spl10_55
| spl10_4
| ~ spl10_13 ),
inference(avatar_split_clause,[],[f829,f108,f64,f847,f843]) ).
thf(f64,plain,
( spl10_4
<=> ( ( ^ [Y0: a] : $true )
= sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
thf(f829,plain,
( ( $false
= ( sK8 @ sK22 ) )
| ( $false
= ( sK6 @ sK22 ) )
| spl10_4
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f821]) ).
thf(f821,plain,
( ( $false
= ( sK8 @ sK22 ) )
| ( $false
= ( sK6 @ sK22 ) )
| ( $true != $true )
| spl10_4
| ~ spl10_13 ),
inference(superposition,[],[f288,f633]) ).
thf(f633,plain,
( ! [X1: a] :
( ( $true
= ( sK7 @ X1 ) )
| ( $false
= ( sK6 @ X1 ) )
| ( $false
= ( sK8 @ X1 ) ) )
| ~ spl10_13 ),
inference(binary_proxy_clausification,[],[f632]) ).
thf(f632,plain,
( ! [X1: a] :
( ( $true
= ( sK7 @ X1 ) )
| ( ( ( sK6 @ X1 )
& ( sK8 @ X1 ) )
= $false ) )
| ~ spl10_13 ),
inference(binary_proxy_clausification,[],[f630]) ).
thf(f288,plain,
( ( $true
!= ( sK7 @ sK22 ) )
| spl10_4 ),
inference(beta_eta_normalization,[],[f286]) ).
thf(f286,plain,
( ( ( ^ [Y0: a] : $true
@ sK22 )
!= ( sK7 @ sK22 ) )
| spl10_4 ),
inference(negative_extensionality,[],[f66]) ).
thf(f66,plain,
( ( ( ^ [Y0: a] : $true )
!= sK7 )
| spl10_4 ),
inference(avatar_component_clause,[],[f64]) ).
thf(f688,plain,
( spl10_10
| ~ spl10_11
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f687]) ).
thf(f687,plain,
( $false
| spl10_10
| ~ spl10_11
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f680]) ).
thf(f680,plain,
( ( $false != $false )
| spl10_10
| ~ spl10_11
| ~ spl10_13 ),
inference(superposition,[],[f291,f672]) ).
thf(f672,plain,
( ! [X0: a] :
( ( sK7 @ X0 )
= $false )
| ~ spl10_11
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f665]) ).
thf(f665,plain,
( ! [X0: a] :
( ( ( sK7 @ X0 )
= $false )
| ( $true = $false ) )
| ~ spl10_11
| ~ spl10_13 ),
inference(superposition,[],[f634,f300]) ).
thf(f300,plain,
( ! [X1: a] :
( $false
= ( sK8 @ X1 ) )
| ~ spl10_11 ),
inference(beta_eta_normalization,[],[f292]) ).
thf(f292,plain,
( ! [X1: a] :
( ( ^ [Y0: a] : $false
@ X1 )
= ( sK8 @ X1 ) )
| ~ spl10_11 ),
inference(argument_congruence,[],[f100]) ).
thf(f100,plain,
( ( ( ^ [Y0: a] : $false )
= sK8 )
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f98,plain,
( spl10_11
<=> ( ( ^ [Y0: a] : $false )
= sK8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
thf(f634,plain,
( ! [X1: a] :
( ( $true
= ( sK8 @ X1 ) )
| ( $false
= ( sK7 @ X1 ) ) )
| ~ spl10_13 ),
inference(binary_proxy_clausification,[],[f631]) ).
thf(f276,plain,
( ~ spl10_7
| spl10_14
| spl10_15
| ~ spl10_21 ),
inference(avatar_contradiction_clause,[],[f275]) ).
thf(f275,plain,
( $false
| ~ spl10_7
| spl10_14
| spl10_15
| ~ spl10_21 ),
inference(trivial_inequality_removal,[],[f272]) ).
thf(f272,plain,
( ( $true = $false )
| ~ spl10_7
| spl10_14
| spl10_15
| ~ spl10_21 ),
inference(superposition,[],[f216,f262]) ).
thf(f262,plain,
( ( ( sK16 @ sK19 )
= $false )
| ~ spl10_7
| spl10_14
| spl10_15 ),
inference(trivial_inequality_removal,[],[f257]) ).
thf(f257,plain,
( ( ( sK16 @ sK19 )
= $false )
| ( $true = $false )
| ~ spl10_7
| spl10_14
| spl10_15 ),
inference(superposition,[],[f161,f237]) ).
thf(f237,plain,
( ! [X1: a > $o] :
( ( $false
= ( sK5 @ X1 ) )
| ( $false
= ( X1 @ sK19 ) ) )
| ~ spl10_7
| spl10_14 ),
inference(binary_proxy_clausification,[],[f236]) ).
thf(f236,plain,
( ! [X1: a > $o] :
( ( ( sK5 @ X1 )
& ( X1 @ sK19 ) )
= $false )
| ~ spl10_7
| spl10_14 ),
inference(beta_eta_normalization,[],[f235]) ).
thf(f235,plain,
( ! [X1: a > $o] :
( $false
= ( ^ [Y0: a > $o] :
( ( sK5 @ Y0 )
& ( Y0 @ sK19 ) )
@ X1 ) )
| ~ spl10_7
| spl10_14 ),
inference(pi_clausification,[],[f234]) ).
thf(f234,plain,
( ( $true
!= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK5 @ Y0 )
& ( Y0 @ sK19 ) ) ) )
| ~ spl10_7
| spl10_14 ),
inference(beta_eta_normalization,[],[f231]) ).
thf(f231,plain,
( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) )
@ sK19 )
!= ( ^ [Y0: a] : $true
@ sK19 ) )
| ~ spl10_7
| spl10_14 ),
inference(negative_extensionality,[],[f154]) ).
thf(f154,plain,
( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
!= ( ^ [Y0: a] : $true ) )
| ~ spl10_7
| spl10_14 ),
inference(trivial_inequality_removal,[],[f142]) ).
thf(f142,plain,
( ( sK4 != sK4 )
| ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
!= ( ^ [Y0: a] : $true ) )
| ~ spl10_7
| spl10_14 ),
inference(constrained_superposition,[],[f115,f80]) ).
thf(f80,plain,
( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= sK4 )
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f78,plain,
( spl10_7
<=> ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
thf(f115,plain,
( ( ( ^ [Y0: a] : $true )
!= sK4 )
| spl10_14 ),
inference(avatar_component_clause,[],[f113]) ).
thf(f113,plain,
( spl10_14
<=> ( ( ^ [Y0: a] : $true )
= sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
thf(f161,plain,
( ( $true
= ( sK5 @ sK16 ) )
| ~ spl10_7
| spl10_15 ),
inference(binary_proxy_clausification,[],[f159]) ).
thf(f159,plain,
( ( $true
= ( ( sK5 @ sK16 )
& ( sK16 @ sK15 ) ) )
| ~ spl10_7
| spl10_15 ),
inference(beta_eta_normalization,[],[f158]) ).
thf(f158,plain,
( ( $true
= ( ^ [Y0: a > $o] :
( ( sK5 @ Y0 )
& ( Y0 @ sK15 ) )
@ sK16 ) )
| ~ spl10_7
| spl10_15 ),
inference(sigma_clausification,[],[f157]) ).
thf(f157,plain,
( ( $false
!= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK5 @ Y0 )
& ( Y0 @ sK15 ) ) ) )
| ~ spl10_7
| spl10_15 ),
inference(beta_eta_normalization,[],[f155]) ).
thf(f155,plain,
( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) )
@ sK15 )
!= ( ^ [Y0: a] : $false
@ sK15 ) )
| ~ spl10_7
| spl10_15 ),
inference(negative_extensionality,[],[f153]) ).
thf(f153,plain,
( ( ( ^ [Y0: a] : $false )
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
| ~ spl10_7
| spl10_15 ),
inference(trivial_inequality_removal,[],[f141]) ).
thf(f141,plain,
( ( ( ^ [Y0: a] : $false )
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
| ( sK4 != sK4 )
| ~ spl10_7
| spl10_15 ),
inference(constrained_superposition,[],[f120,f80]) ).
thf(f120,plain,
( ( ( ^ [Y0: a] : $false )
!= sK4 )
| spl10_15 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f118,plain,
( spl10_15
<=> ( ( ^ [Y0: a] : $false )
= sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
thf(f216,plain,
( ! [X1: a] :
( $true
= ( sK16 @ X1 ) )
| ~ spl10_21 ),
inference(beta_eta_normalization,[],[f210]) ).
thf(f210,plain,
( ! [X1: a] :
( ( sK16 @ X1 )
= ( ^ [Y0: a] : $true
@ X1 ) )
| ~ spl10_21 ),
inference(argument_congruence,[],[f177]) ).
thf(f177,plain,
( ( ( ^ [Y0: a] : $true )
= sK16 )
| ~ spl10_21 ),
inference(avatar_component_clause,[],[f175]) ).
thf(f175,plain,
( spl10_21
<=> ( ( ^ [Y0: a] : $true )
= sK16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_21])]) ).
thf(f209,plain,
( ~ spl10_7
| spl10_15
| ~ spl10_22 ),
inference(avatar_contradiction_clause,[],[f208]) ).
thf(f208,plain,
( $false
| ~ spl10_7
| spl10_15
| ~ spl10_22 ),
inference(trivial_inequality_removal,[],[f204]) ).
thf(f204,plain,
( ( $true = $false )
| ~ spl10_7
| spl10_15
| ~ spl10_22 ),
inference(superposition,[],[f189,f160]) ).
thf(f160,plain,
( ( $true
= ( sK16 @ sK15 ) )
| ~ spl10_7
| spl10_15 ),
inference(binary_proxy_clausification,[],[f159]) ).
thf(f189,plain,
( ! [X1: a] :
( $false
= ( sK16 @ X1 ) )
| ~ spl10_22 ),
inference(beta_eta_normalization,[],[f183]) ).
thf(f183,plain,
( ! [X1: a] :
( ( ^ [Y0: a] : $false
@ X1 )
= ( sK16 @ X1 ) )
| ~ spl10_22 ),
inference(argument_congruence,[],[f181]) ).
thf(f181,plain,
( ( ( ^ [Y0: a] : $false )
= sK16 )
| ~ spl10_22 ),
inference(avatar_component_clause,[],[f179]) ).
thf(f179,plain,
( spl10_22
<=> ( ( ^ [Y0: a] : $false )
= sK16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).
thf(f182,plain,
( spl10_21
| spl10_22
| ~ spl10_7
| ~ spl10_9
| spl10_15 ),
inference(avatar_split_clause,[],[f164,f118,f88,f78,f179,f175]) ).
thf(f88,plain,
( spl10_9
<=> ! [X2: a > $o] :
( ( ( ^ [Y0: a] : $true )
= X2 )
| ( ( ^ [Y0: a] : $false )
= X2 )
| ( $true
!= ( sK5 @ X2 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
thf(f164,plain,
( ( ( ^ [Y0: a] : $false )
= sK16 )
| ( ( ^ [Y0: a] : $true )
= sK16 )
| ~ spl10_7
| ~ spl10_9
| spl10_15 ),
inference(trivial_inequality_removal,[],[f163]) ).
thf(f163,plain,
( ( ( ^ [Y0: a] : $false )
= sK16 )
| ( $true != $true )
| ( ( ^ [Y0: a] : $true )
= sK16 )
| ~ spl10_7
| ~ spl10_9
| spl10_15 ),
inference(superposition,[],[f89,f161]) ).
thf(f89,plain,
( ! [X2: a > $o] :
( ( $true
!= ( sK5 @ X2 ) )
| ( ( ^ [Y0: a] : $true )
= X2 )
| ( ( ^ [Y0: a] : $false )
= X2 ) )
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f88]) ).
thf(f130,plain,
( spl10_16
| spl10_17
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f43,f60,f127,f123]) ).
thf(f60,plain,
( spl10_3
<=> ( sP0 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
thf(f43,plain,
( ( ( ^ [Y0: a] : $false )
= sK6 )
| ( sP0 != $true )
| ( sK6
= ( ^ [Y0: a] : $true ) ) ),
inference(boolean_simplification,[],[f36]) ).
thf(f36,plain,
( ( sP0 != $true )
| ( ( ^ [Y0: a] : $false )
= sK6 )
| ( sK6
= ( ^ [Y0: a] : ~ $false ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f23,plain,
( ( ( ( ^ [Y0: a] :
( ( sK6 @ Y0 )
& ( sK8 @ Y0 ) ) )
= sK7 )
& ( ( ( ^ [Y0: a] : ~ $false )
= sK8 )
| ( ( ^ [Y0: a] : $false )
= sK8 ) )
& ( ( sK6
= ( ^ [Y0: a] : ~ $false ) )
| ( ( ^ [Y0: a] : $false )
= sK6 ) )
& ( ( ^ [Y0: a] : ~ $false )
!= sK7 )
& ( ( ^ [Y0: a] : $false )
!= sK7 ) )
| ( sP0 != $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f21,f22]) ).
thf(f22,plain,
( ? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ^ [Y0: a] :
( ( X0 @ Y0 )
& ( X2 @ Y0 ) ) )
= X1 )
& ( ( ( ^ [Y0: a] : ~ $false )
= X2 )
| ( ( ^ [Y0: a] : $false )
= X2 ) )
& ( ( ( ^ [Y0: a] : ~ $false )
= X0 )
| ( ( ^ [Y0: a] : $false )
= X0 ) )
& ( ( ^ [Y0: a] : ~ $false )
!= X1 )
& ( ( ^ [Y0: a] : $false )
!= X1 ) )
=> ( ( ( ^ [Y0: a] :
( ( sK6 @ Y0 )
& ( sK8 @ Y0 ) ) )
= sK7 )
& ( ( ( ^ [Y0: a] : ~ $false )
= sK8 )
| ( ( ^ [Y0: a] : $false )
= sK8 ) )
& ( ( sK6
= ( ^ [Y0: a] : ~ $false ) )
| ( ( ^ [Y0: a] : $false )
= sK6 ) )
& ( ( ^ [Y0: a] : ~ $false )
!= sK7 )
& ( ( ^ [Y0: a] : $false )
!= sK7 ) ) ),
introduced(choice_axiom,[]) ).
thf(f21,plain,
( ? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ^ [Y0: a] :
( ( X0 @ Y0 )
& ( X2 @ Y0 ) ) )
= X1 )
& ( ( ( ^ [Y0: a] : ~ $false )
= X2 )
| ( ( ^ [Y0: a] : $false )
= X2 ) )
& ( ( ( ^ [Y0: a] : ~ $false )
= X0 )
| ( ( ^ [Y0: a] : $false )
= X0 ) )
& ( ( ^ [Y0: a] : ~ $false )
!= X1 )
& ( ( ^ [Y0: a] : $false )
!= X1 ) )
| ( sP0 != $true ) ),
inference(rectify,[],[f20]) ).
thf(f20,plain,
( ? [X3: a > $o,X4: a > $o,X5: a > $o] :
( ( ( ^ [Y0: a] :
( ( X3 @ Y0 )
& ( X5 @ Y0 ) ) )
= X4 )
& ( ( ( ^ [Y0: a] : ~ $false )
= X5 )
| ( ( ^ [Y0: a] : $false )
= X5 ) )
& ( ( ( ^ [Y0: a] : ~ $false )
= X3 )
| ( ( ^ [Y0: a] : $false )
= X3 ) )
& ( ( ^ [Y0: a] : ~ $false )
!= X4 )
& ( ( ^ [Y0: a] : $false )
!= X4 ) )
| ( sP0 != $true ) ),
inference(nnf_transformation,[],[f9]) ).
thf(f9,plain,
( ? [X3: a > $o,X4: a > $o,X5: a > $o] :
( ( ( ^ [Y0: a] :
( ( X3 @ Y0 )
& ( X5 @ Y0 ) ) )
= X4 )
& ( ( ( ^ [Y0: a] : ~ $false )
= X5 )
| ( ( ^ [Y0: a] : $false )
= X5 ) )
& ( ( ( ^ [Y0: a] : ~ $false )
= X3 )
| ( ( ^ [Y0: a] : $false )
= X3 ) )
& ( ( ^ [Y0: a] : ~ $false )
!= X4 )
& ( ( ^ [Y0: a] : $false )
!= X4 ) )
| ( sP0 != $true ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f121,plain,
( ~ spl10_6
| ~ spl10_15 ),
inference(avatar_split_clause,[],[f32,f118,f74]) ).
thf(f74,plain,
( spl10_6
<=> ( sP1 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
thf(f32,plain,
( ( ( ^ [Y0: a] : $false )
!= sK4 )
| ( sP1 != $true ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
( ( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= sK4 )
& ( ( ^ [Y0: a] : $false )
!= sK4 )
& ! [X2: a > $o] :
( ( $true
!= ( sK5 @ X2 ) )
| ( ( ^ [Y0: a] : $false )
= X2 )
| ( ( ^ [Y0: a] : ~ $false )
= X2 ) )
& ( ( ^ [Y0: a] : ~ $false )
!= sK4 ) )
| ( sP1 != $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f17,f18]) ).
thf(f18,plain,
( ? [X0: a > $o,X1: ( a > $o ) > $o] :
( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( X1 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= X0 )
& ( ( ^ [Y0: a] : $false )
!= X0 )
& ! [X2: a > $o] :
( ( $true
!= ( X1 @ X2 ) )
| ( ( ^ [Y0: a] : $false )
= X2 )
| ( ( ^ [Y0: a] : ~ $false )
= X2 ) )
& ( ( ^ [Y0: a] : ~ $false )
!= X0 ) )
=> ( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= sK4 )
& ( ( ^ [Y0: a] : $false )
!= sK4 )
& ! [X2: a > $o] :
( ( $true
!= ( sK5 @ X2 ) )
| ( ( ^ [Y0: a] : $false )
= X2 )
| ( ( ^ [Y0: a] : ~ $false )
= X2 ) )
& ( ( ^ [Y0: a] : ~ $false )
!= sK4 ) ) ),
introduced(choice_axiom,[]) ).
thf(f17,plain,
( ? [X0: a > $o,X1: ( a > $o ) > $o] :
( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( X1 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= X0 )
& ( ( ^ [Y0: a] : $false )
!= X0 )
& ! [X2: a > $o] :
( ( $true
!= ( X1 @ X2 ) )
| ( ( ^ [Y0: a] : $false )
= X2 )
| ( ( ^ [Y0: a] : ~ $false )
= X2 ) )
& ( ( ^ [Y0: a] : ~ $false )
!= X0 ) )
| ( sP1 != $true ) ),
inference(nnf_transformation,[],[f10]) ).
thf(f10,plain,
( ? [X0: a > $o,X1: ( a > $o ) > $o] :
( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( X1 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= X0 )
& ( ( ^ [Y0: a] : $false )
!= X0 )
& ! [X2: a > $o] :
( ( $true
!= ( X1 @ X2 ) )
| ( ( ^ [Y0: a] : $false )
= X2 )
| ( ( ^ [Y0: a] : ~ $false )
= X2 ) )
& ( ( ^ [Y0: a] : ~ $false )
!= X0 ) )
| ( sP1 != $true ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f116,plain,
( ~ spl10_6
| ~ spl10_14 ),
inference(avatar_split_clause,[],[f44,f113,f74]) ).
thf(f44,plain,
( ( sP1 != $true )
| ( ( ^ [Y0: a] : $true )
!= sK4 ) ),
inference(boolean_simplification,[],[f30]) ).
thf(f30,plain,
( ( ( ^ [Y0: a] : ~ $false )
!= sK4 )
| ( sP1 != $true ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f111,plain,
( ~ spl10_3
| spl10_13 ),
inference(avatar_split_clause,[],[f38,f108,f60]) ).
thf(f38,plain,
( ( ( ^ [Y0: a] :
( ( sK6 @ Y0 )
& ( sK8 @ Y0 ) ) )
= sK7 )
| ( sP0 != $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f106,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f45,f55,f51]) ).
thf(f51,plain,
( spl10_1
<=> ( ( ^ [Y0: a] : $true )
= sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
thf(f55,plain,
( spl10_2
<=> ( $true = sP2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
thf(f45,plain,
( ( $true != sP2 )
| ( ( ^ [Y0: a] : $true )
!= sK3 ) ),
inference(boolean_simplification,[],[f29]) ).
thf(f29,plain,
( ( $true != sP2 )
| ( ( ^ [Y0: a] : ~ $false )
!= sK3 ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
( ( ( ( ^ [Y0: a] : ~ $false )
!= sK3 )
& ( ( ^ [Y0: a] : $false )
!= sK3 )
& ( ( ^ [Y0: a] : ~ $false )
= sK3 ) )
| ( $true != sP2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f14,f15]) ).
thf(f15,plain,
( ? [X0: a > $o] :
( ( ( ^ [Y0: a] : ~ $false )
!= X0 )
& ( ( ^ [Y0: a] : $false )
!= X0 )
& ( ( ^ [Y0: a] : ~ $false )
= X0 ) )
=> ( ( ( ^ [Y0: a] : ~ $false )
!= sK3 )
& ( ( ^ [Y0: a] : $false )
!= sK3 )
& ( ( ^ [Y0: a] : ~ $false )
= sK3 ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
( ? [X0: a > $o] :
( ( ( ^ [Y0: a] : ~ $false )
!= X0 )
& ( ( ^ [Y0: a] : $false )
!= X0 )
& ( ( ^ [Y0: a] : ~ $false )
= X0 ) )
| ( $true != sP2 ) ),
inference(rectify,[],[f13]) ).
thf(f13,plain,
( ? [X6: a > $o] :
( ( ( ^ [Y0: a] : ~ $false )
!= X6 )
& ( ( ^ [Y0: a] : $false )
!= X6 )
& ( ( ^ [Y0: a] : ~ $false )
= X6 ) )
| ( $true != sP2 ) ),
inference(nnf_transformation,[],[f11]) ).
thf(f11,plain,
( ? [X6: a > $o] :
( ( ( ^ [Y0: a] : ~ $false )
!= X6 )
& ( ( ^ [Y0: a] : $false )
!= X6 )
& ( ( ^ [Y0: a] : ~ $false )
= X6 ) )
| ( $true != sP2 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f105,plain,
( ~ spl10_3
| spl10_11
| spl10_12 ),
inference(avatar_split_clause,[],[f46,f102,f98,f60]) ).
thf(f46,plain,
( ( ( ^ [Y0: a] : $false )
= sK8 )
| ( ( ^ [Y0: a] : $true )
= sK8 )
| ( sP0 != $true ) ),
inference(boolean_simplification,[],[f37]) ).
thf(f37,plain,
( ( ( ^ [Y0: a] : $false )
= sK8 )
| ( sP0 != $true )
| ( ( ^ [Y0: a] : ~ $false )
= sK8 ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f96,plain,
( ~ spl10_8
| spl10_6
| spl10_3
| spl10_2 ),
inference(avatar_split_clause,[],[f41,f55,f60,f74,f83]) ).
thf(f83,plain,
( spl10_8
<=> ( ( ^ [Y0: a] : $false )
= sK9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
thf(f41,plain,
( ( sP1 = $true )
| ( ( ^ [Y0: a] : $false )
!= sK9 )
| ( sP0 = $true )
| ( $true = sP2 ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f26,plain,
( ( ( ( ^ [Y0: a] : $false )
!= sK9 )
& ( ( ^ [Y0: a] : ~ $false )
!= sK9 )
& ( ( ^ [Y0: a] : $false )
= sK9 ) )
| ( sP0 = $true )
| ( sP1 = $true )
| ( $true = sP2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f24,f25]) ).
thf(f25,plain,
( ? [X0: a > $o] :
( ( ( ^ [Y0: a] : $false )
!= X0 )
& ( ( ^ [Y0: a] : ~ $false )
!= X0 )
& ( ( ^ [Y0: a] : $false )
= X0 ) )
=> ( ( ( ^ [Y0: a] : $false )
!= sK9 )
& ( ( ^ [Y0: a] : ~ $false )
!= sK9 )
& ( ( ^ [Y0: a] : $false )
= sK9 ) ) ),
introduced(choice_axiom,[]) ).
thf(f24,plain,
( ? [X0: a > $o] :
( ( ( ^ [Y0: a] : $false )
!= X0 )
& ( ( ^ [Y0: a] : ~ $false )
!= X0 )
& ( ( ^ [Y0: a] : $false )
= X0 ) )
| ( sP0 = $true )
| ( sP1 = $true )
| ( $true = sP2 ) ),
inference(rectify,[],[f12]) ).
thf(f12,plain,
( ? [X7: a > $o] :
( ( ( ^ [Y0: a] : $false )
!= X7 )
& ( ( ^ [Y0: a] : ~ $false )
!= X7 )
& ( ( ^ [Y0: a] : $false )
= X7 ) )
| ( sP0 = $true )
| ( sP1 = $true )
| ( $true = sP2 ) ),
inference(definition_folding,[],[f8,f11,f10,f9]) ).
thf(f8,plain,
( ? [X7: a > $o] :
( ( ( ^ [Y0: a] : $false )
!= X7 )
& ( ( ^ [Y0: a] : ~ $false )
!= X7 )
& ( ( ^ [Y0: a] : $false )
= X7 ) )
| ? [X3: a > $o,X4: a > $o,X5: a > $o] :
( ( ( ^ [Y0: a] :
( ( X3 @ Y0 )
& ( X5 @ Y0 ) ) )
= X4 )
& ( ( ( ^ [Y0: a] : ~ $false )
= X5 )
| ( ( ^ [Y0: a] : $false )
= X5 ) )
& ( ( ( ^ [Y0: a] : ~ $false )
= X3 )
| ( ( ^ [Y0: a] : $false )
= X3 ) )
& ( ( ^ [Y0: a] : ~ $false )
!= X4 )
& ( ( ^ [Y0: a] : $false )
!= X4 ) )
| ? [X0: a > $o,X1: ( a > $o ) > $o] :
( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( X1 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= X0 )
& ( ( ^ [Y0: a] : $false )
!= X0 )
& ! [X2: a > $o] :
( ( $true
!= ( X1 @ X2 ) )
| ( ( ^ [Y0: a] : $false )
= X2 )
| ( ( ^ [Y0: a] : ~ $false )
= X2 ) )
& ( ( ^ [Y0: a] : ~ $false )
!= X0 ) )
| ? [X6: a > $o] :
( ( ( ^ [Y0: a] : ~ $false )
!= X6 )
& ( ( ^ [Y0: a] : $false )
!= X6 )
& ( ( ^ [Y0: a] : ~ $false )
= X6 ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
( ? [X7: a > $o] :
( ( ( ^ [Y0: a] : ~ $false )
!= X7 )
& ( ( ^ [Y0: a] : $false )
!= X7 )
& ( ( ^ [Y0: a] : $false )
= X7 ) )
| ? [X3: a > $o,X4: a > $o,X5: a > $o] :
( ( ( ^ [Y0: a] : $false )
!= X4 )
& ( ( ^ [Y0: a] : ~ $false )
!= X4 )
& ( ( ^ [Y0: a] :
( ( X3 @ Y0 )
& ( X5 @ Y0 ) ) )
= X4 )
& ( ( ( ^ [Y0: a] : ~ $false )
= X3 )
| ( ( ^ [Y0: a] : $false )
= X3 ) )
& ( ( ( ^ [Y0: a] : ~ $false )
= X5 )
| ( ( ^ [Y0: a] : $false )
= X5 ) ) )
| ? [X6: a > $o] :
( ( ( ^ [Y0: a] : $false )
!= X6 )
& ( ( ^ [Y0: a] : ~ $false )
!= X6 )
& ( ( ^ [Y0: a] : ~ $false )
= X6 ) )
| ? [X0: a > $o,X1: ( a > $o ) > $o] :
( ( ( ^ [Y0: a] : $false )
!= X0 )
& ( ( ^ [Y0: a] : ~ $false )
!= X0 )
& ! [X2: a > $o] :
( ( ( ^ [Y0: a] : ~ $false )
= X2 )
| ( ( ^ [Y0: a] : $false )
= X2 )
| ( $true
!= ( X1 @ X2 ) ) )
& ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( X1 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= X0 ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ( ! [X7: a > $o] :
( ( ( ^ [Y0: a] : $false )
= X7 )
=> ( ( ( ^ [Y0: a] : ~ $false )
= X7 )
| ( ( ^ [Y0: a] : $false )
= X7 ) ) )
& ! [X3: a > $o,X4: a > $o,X5: a > $o] :
( ( ( ( ^ [Y0: a] :
( ( X3 @ Y0 )
& ( X5 @ Y0 ) ) )
= X4 )
& ( ( ( ^ [Y0: a] : ~ $false )
= X3 )
| ( ( ^ [Y0: a] : $false )
= X3 ) )
& ( ( ( ^ [Y0: a] : ~ $false )
= X5 )
| ( ( ^ [Y0: a] : $false )
= X5 ) ) )
=> ( ( ( ^ [Y0: a] : $false )
= X4 )
| ( ( ^ [Y0: a] : ~ $false )
= X4 ) ) )
& ! [X6: a > $o] :
( ( ( ^ [Y0: a] : ~ $false )
= X6 )
=> ( ( ( ^ [Y0: a] : $false )
= X6 )
| ( ( ^ [Y0: a] : ~ $false )
= X6 ) ) )
& ! [X0: a > $o,X1: ( a > $o ) > $o] :
( ( ! [X2: a > $o] :
( ( $true
= ( X1 @ X2 ) )
=> ( ( ( ^ [Y0: a] : ~ $false )
= X2 )
| ( ( ^ [Y0: a] : $false )
= X2 ) ) )
& ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( X1 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= X0 ) )
=> ( ( ( ^ [Y0: a] : $false )
= X0 )
| ( ( ^ [Y0: a] : ~ $false )
= X0 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
~ ( ! [X0: a > $o,X1: ( a > $o ) > $o] :
( ( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( X1 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= X0 )
& ! [X4: a > $o] :
( ( $true
= ( X1 @ X4 ) )
=> ( ( ( ^ [Y0: a] : $false )
= X4 )
| ( ( ^ [Y0: a] : ~ $false )
= X4 ) ) ) )
=> ( ( ( ^ [Y0: a] : $false )
= X0 )
| ( ( ^ [Y0: a] : ~ $false )
= X0 ) ) )
& ! [X9: a > $o,X10: a > $o,X11: a > $o] :
( ( ( ( ( ^ [Y0: a] : $false )
= X11 )
| ( ( ^ [Y0: a] : ~ $false )
= X11 ) )
& ( ( ^ [Y0: a] :
( ( X9 @ Y0 )
& ( X11 @ Y0 ) ) )
= X10 )
& ( ( ( ^ [Y0: a] : ~ $false )
= X9 )
| ( ( ^ [Y0: a] : $false )
= X9 ) ) )
=> ( ( ( ^ [Y0: a] : ~ $false )
= X10 )
| ( ( ^ [Y0: a] : $false )
= X10 ) ) )
& ! [X19: a > $o] :
( ( ( ^ [Y0: a] : ~ $false )
= X19 )
=> ( ( ( ^ [Y0: a] : $false )
= X19 )
| ( ( ^ [Y0: a] : ~ $false )
= X19 ) ) )
& ! [X23: a > $o] :
( ( ( ^ [Y0: a] : $false )
= X23 )
=> ( ( ( ^ [Y0: a] : $false )
= X23 )
| ( ( ^ [Y0: a] : ~ $false )
= X23 ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ! [X0: a > $o,X1: ( a > $o ) > $o] :
( ( ( X0
= ( ^ [X2: a] :
? [X3: a > $o] :
( ( X3 @ X2 )
& ( X1 @ X3 ) ) ) )
& ! [X4: a > $o] :
( ( X1 @ X4 )
=> ( ( ( ^ [X5: a] : $false )
= X4 )
| ( ( ^ [X6: a] : ~ $false )
= X4 ) ) ) )
=> ( ( X0
= ( ^ [X7: a] : $false ) )
| ( X0
= ( ^ [X8: a] : ~ $false ) ) ) )
& ! [X9: a > $o,X10: a > $o,X11: a > $o] :
( ( ( ( ( ^ [X12: a] : $false )
= X11 )
| ( ( ^ [X13: a] : ~ $false )
= X11 ) )
& ( X10
= ( ^ [X14: a] :
( ( X11 @ X14 )
& ( X9 @ X14 ) ) ) )
& ( ( X9
= ( ^ [X15: a] : ~ $false ) )
| ( ( ^ [X16: a] : $false )
= X9 ) ) )
=> ( ( ( ^ [X17: a] : ~ $false )
= X10 )
| ( ( ^ [X18: a] : $false )
= X10 ) ) )
& ! [X19: a > $o] :
( ( X19
= ( ^ [X20: a] : ~ $false ) )
=> ( ( X19
= ( ^ [X21: a] : $false ) )
| ( ( ^ [X22: a] : ~ $false )
= X19 ) ) )
& ! [X23: a > $o] :
( ( X23
= ( ^ [X24: a] : $false ) )
=> ( ( X23
= ( ^ [X25: a] : $false ) )
| ( ( ^ [X26: a] : ~ $false )
= X23 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: a > $o,X3: ( a > $o ) > $o] :
( ( ( X0
= ( ^ [X1: a] :
? [X4: a > $o] :
( ( X4 @ X1 )
& ( X3 @ X4 ) ) ) )
& ! [X1: a > $o] :
( ( X3 @ X1 )
=> ( ( ( ^ [X2: a] : $false )
= X1 )
| ( ( ^ [X2: a] : ~ $false )
= X1 ) ) ) )
=> ( ( X0
= ( ^ [X2: a] : $false ) )
| ( X0
= ( ^ [X2: a] : ~ $false ) ) ) )
& ! [X5: a > $o,X4: a > $o,X6: a > $o] :
( ( ( ( ( ^ [X2: a] : $false )
= X6 )
| ( ( ^ [X2: a] : ~ $false )
= X6 ) )
& ( X4
= ( ^ [X1: a] :
( ( X6 @ X1 )
& ( X5 @ X1 ) ) ) )
& ( ( X5
= ( ^ [X2: a] : ~ $false ) )
| ( ( ^ [X2: a] : $false )
= X5 ) ) )
=> ( ( ( ^ [X2: a] : ~ $false )
= X4 )
| ( ( ^ [X2: a] : $false )
= X4 ) ) )
& ! [X0: a > $o] :
( ( X0
= ( ^ [X1: a] : ~ $false ) )
=> ( ( X0
= ( ^ [X2: a] : $false ) )
| ( ( ^ [X2: a] : ~ $false )
= X0 ) ) )
& ! [X0: a > $o] :
( ( X0
= ( ^ [X1: a] : $false ) )
=> ( ( X0
= ( ^ [X2: a] : $false ) )
| ( ( ^ [X2: a] : ~ $false )
= X0 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ! [X0: a > $o,X3: ( a > $o ) > $o] :
( ( ( X0
= ( ^ [X1: a] :
? [X4: a > $o] :
( ( X4 @ X1 )
& ( X3 @ X4 ) ) ) )
& ! [X1: a > $o] :
( ( X3 @ X1 )
=> ( ( ( ^ [X2: a] : $false )
= X1 )
| ( ( ^ [X2: a] : ~ $false )
= X1 ) ) ) )
=> ( ( X0
= ( ^ [X2: a] : $false ) )
| ( X0
= ( ^ [X2: a] : ~ $false ) ) ) )
& ! [X5: a > $o,X4: a > $o,X6: a > $o] :
( ( ( ( ( ^ [X2: a] : $false )
= X6 )
| ( ( ^ [X2: a] : ~ $false )
= X6 ) )
& ( X4
= ( ^ [X1: a] :
( ( X6 @ X1 )
& ( X5 @ X1 ) ) ) )
& ( ( X5
= ( ^ [X2: a] : ~ $false ) )
| ( ( ^ [X2: a] : $false )
= X5 ) ) )
=> ( ( ( ^ [X2: a] : ~ $false )
= X4 )
| ( ( ^ [X2: a] : $false )
= X4 ) ) )
& ! [X0: a > $o] :
( ( X0
= ( ^ [X1: a] : ~ $false ) )
=> ( ( X0
= ( ^ [X2: a] : $false ) )
| ( ( ^ [X2: a] : ~ $false )
= X0 ) ) )
& ! [X0: a > $o] :
( ( X0
= ( ^ [X1: a] : $false ) )
=> ( ( X0
= ( ^ [X2: a] : $false ) )
| ( ( ^ [X2: a] : ~ $false )
= X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cINDISCRETE_TOPOLOGY_pme) ).
thf(f95,plain,
( ~ spl10_10
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f34,f60,f92]) ).
thf(f34,plain,
( ( ( ^ [Y0: a] : $false )
!= sK7 )
| ( sP0 != $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f90,plain,
( ~ spl10_6
| spl10_9 ),
inference(avatar_split_clause,[],[f47,f88,f74]) ).
thf(f47,plain,
! [X2: a > $o] :
( ( ( ^ [Y0: a] : $true )
= X2 )
| ( $true
!= ( sK5 @ X2 ) )
| ( sP1 != $true )
| ( ( ^ [Y0: a] : $false )
= X2 ) ),
inference(boolean_simplification,[],[f31]) ).
thf(f31,plain,
! [X2: a > $o] :
( ( ( ^ [Y0: a] : $false )
= X2 )
| ( $true
!= ( sK5 @ X2 ) )
| ( ( ^ [Y0: a] : ~ $false )
= X2 )
| ( sP1 != $true ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f86,plain,
( spl10_6
| spl10_2
| spl10_8
| spl10_3 ),
inference(avatar_split_clause,[],[f39,f60,f83,f55,f74]) ).
thf(f39,plain,
( ( $true = sP2 )
| ( sP0 = $true )
| ( ( ^ [Y0: a] : $false )
= sK9 )
| ( sP1 = $true ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f81,plain,
( ~ spl10_6
| spl10_7 ),
inference(avatar_split_clause,[],[f33,f78,f74]) ).
thf(f33,plain,
( ( sP1 != $true )
| ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( sK5 @ Y1 )
& ( Y1 @ Y0 ) ) ) )
= sK4 ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f67,plain,
( ~ spl10_3
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f48,f64,f60]) ).
thf(f48,plain,
( ( ( ^ [Y0: a] : $true )
!= sK7 )
| ( sP0 != $true ) ),
inference(boolean_simplification,[],[f35]) ).
thf(f35,plain,
( ( sP0 != $true )
| ( ( ^ [Y0: a] : ~ $false )
!= sK7 ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f58,plain,
( spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f49,f55,f51]) ).
thf(f49,plain,
( ( $true != sP2 )
| ( ( ^ [Y0: a] : $true )
= sK3 ) ),
inference(boolean_simplification,[],[f27]) ).
thf(f27,plain,
( ( $true != sP2 )
| ( ( ^ [Y0: a] : ~ $false )
= sK3 ) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : SEV261^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.08 % Command : run_vampire %s %d THM
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Fri Jun 21 19:42:23 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.29 This is a TH0_THM_EQU_NAR problem
% 0.08/0.29 Running higher-order theorem proving
% 0.08/0.29 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
% 0.08/0.30 % (22119)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)
% 0.08/0.30 % (22123)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)
% 0.08/0.30 % (22124)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.08/0.30 % (22122)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)
% 0.08/0.30 % (22121)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.08/0.30 % (22123)Refutation not found, incomplete strategy
% 0.08/0.30 % (22123)------------------------------
% 0.08/0.30 % (22123)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.08/0.30 % (22123)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.30
% 0.08/0.30
% 0.08/0.30 % (22123)Memory used [KB]: 5500
% 0.08/0.30 % (22123)Time elapsed: 0.003 s
% 0.08/0.30 % (22123)Instructions burned: 3 (million)
% 0.08/0.30 % (22123)------------------------------
% 0.08/0.30 % (22123)------------------------------
% 0.08/0.30 % (22118)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.08/0.30 % (22119)Instruction limit reached!
% 0.08/0.30 % (22119)------------------------------
% 0.08/0.30 % (22119)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.08/0.30 % (22119)Termination reason: Unknown
% 0.08/0.30 % (22119)Termination phase: Saturation
% 0.08/0.30
% 0.08/0.30 % (22119)Memory used [KB]: 5500
% 0.08/0.30 % (22119)Time elapsed: 0.004 s
% 0.08/0.30 % (22119)Instructions burned: 5 (million)
% 0.08/0.30 % (22119)------------------------------
% 0.08/0.30 % (22119)------------------------------
% 0.08/0.30 % (22121)Instruction limit reached!
% 0.08/0.30 % (22121)------------------------------
% 0.08/0.30 % (22121)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.08/0.30 % (22121)Termination reason: Unknown
% 0.08/0.30 % (22121)Termination phase: Preprocessing 3
% 0.08/0.30
% 0.08/0.30 % (22121)Memory used [KB]: 1023
% 0.08/0.30 % (22121)Time elapsed: 0.002 s
% 0.08/0.30 % (22121)Instructions burned: 2 (million)
% 0.08/0.30 % (22121)------------------------------
% 0.08/0.30 % (22121)------------------------------
% 0.08/0.30 % (22122)Instruction limit reached!
% 0.08/0.30 % (22122)------------------------------
% 0.08/0.30 % (22122)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.08/0.30 % (22122)Termination reason: Unknown
% 0.08/0.30 % (22122)Termination phase: Property scanning
% 0.08/0.30
% 0.08/0.30 % (22122)Memory used [KB]: 1023
% 0.08/0.30 % (22122)Time elapsed: 0.003 s
% 0.08/0.30 % (22122)Instructions burned: 2 (million)
% 0.08/0.30 % (22122)------------------------------
% 0.08/0.30 % (22122)------------------------------
% 0.08/0.31 % (22120)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)
% 0.08/0.31 % (22124)Instruction limit reached!
% 0.08/0.31 % (22124)------------------------------
% 0.08/0.31 % (22124)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.08/0.31 % (22124)Termination reason: Unknown
% 0.08/0.31 % (22124)Termination phase: Saturation
% 0.08/0.31
% 0.08/0.31 % (22124)Memory used [KB]: 5628
% 0.08/0.31 % (22124)Time elapsed: 0.010 s
% 0.08/0.31 % (22124)Instructions burned: 19 (million)
% 0.08/0.31 % (22124)------------------------------
% 0.08/0.31 % (22124)------------------------------
% 0.14/0.31 % (22125)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)
% 0.14/0.31 % (22128)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)
% 0.14/0.31 % (22125)Instruction limit reached!
% 0.14/0.31 % (22125)------------------------------
% 0.14/0.31 % (22125)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.31 % (22125)Termination reason: Unknown
% 0.14/0.31 % (22125)Termination phase: Saturation
% 0.14/0.31
% 0.14/0.31 % (22125)Memory used [KB]: 5500
% 0.14/0.31 % (22125)Time elapsed: 0.003 s
% 0.14/0.31 % (22125)Instructions burned: 3 (million)
% 0.14/0.31 % (22125)------------------------------
% 0.14/0.31 % (22125)------------------------------
% 0.14/0.31 % (22128)Instruction limit reached!
% 0.14/0.31 % (22128)------------------------------
% 0.14/0.31 % (22128)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.31 % (22128)Termination reason: Unknown
% 0.14/0.31 % (22128)Termination phase: Saturation
% 0.14/0.31
% 0.14/0.31 % (22128)Memory used [KB]: 5500
% 0.14/0.31 % (22128)Time elapsed: 0.003 s
% 0.14/0.31 % (22128)Instructions burned: 3 (million)
% 0.14/0.31 % (22128)------------------------------
% 0.14/0.31 % (22128)------------------------------
% 0.14/0.31 % (22127)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)
% 0.14/0.31 % (22126)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)
% 0.14/0.32 % (22129)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)
% 0.14/0.32 % (22127)Instruction limit reached!
% 0.14/0.32 % (22127)------------------------------
% 0.14/0.32 % (22127)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.32 % (22127)Termination reason: Unknown
% 0.14/0.32 % (22127)Termination phase: Saturation
% 0.14/0.32
% 0.14/0.32 % (22127)Memory used [KB]: 5756
% 0.14/0.32 % (22127)Time elapsed: 0.009 s
% 0.14/0.32 % (22127)Instructions burned: 16 (million)
% 0.14/0.32 % (22127)------------------------------
% 0.14/0.32 % (22127)------------------------------
% 0.14/0.32 % (22131)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.32 % (22130)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.32 % (22120)Instruction limit reached!
% 0.14/0.32 % (22120)------------------------------
% 0.14/0.32 % (22120)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.32 % (22120)Termination reason: Unknown
% 0.14/0.32 % (22120)Termination phase: Saturation
% 0.14/0.32
% 0.14/0.32 % (22120)Memory used [KB]: 5756
% 0.14/0.32 % (22120)Time elapsed: 0.019 s
% 0.14/0.32 % (22120)Instructions burned: 27 (million)
% 0.14/0.32 % (22120)------------------------------
% 0.14/0.32 % (22120)------------------------------
% 0.14/0.33 % (22130)Instruction limit reached!
% 0.14/0.33 % (22130)------------------------------
% 0.14/0.33 % (22130)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.33 % (22130)Termination reason: Unknown
% 0.14/0.33 % (22130)Termination phase: Saturation
% 0.14/0.33
% 0.14/0.33 % (22130)Memory used [KB]: 1023
% 0.14/0.33 % (22130)Time elapsed: 0.005 s
% 0.14/0.33 % (22130)Instructions burned: 8 (million)
% 0.14/0.33 % (22130)------------------------------
% 0.14/0.33 % (22130)------------------------------
% 0.14/0.33 % (22126)Instruction limit reached!
% 0.14/0.33 % (22126)------------------------------
% 0.14/0.33 % (22126)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.33 % (22126)Termination reason: Unknown
% 0.14/0.33 % (22126)Termination phase: Saturation
% 0.14/0.33
% 0.14/0.33 % (22126)Memory used [KB]: 5628
% 0.14/0.33 % (22126)Time elapsed: 0.016 s
% 0.14/0.33 % (22126)Instructions burned: 39 (million)
% 0.14/0.33 % (22126)------------------------------
% 0.14/0.33 % (22126)------------------------------
% 0.14/0.33 % (22131)Instruction limit reached!
% 0.14/0.33 % (22131)------------------------------
% 0.14/0.33 % (22131)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.33 % (22131)Termination reason: Unknown
% 0.14/0.33 % (22131)Termination phase: Saturation
% 0.14/0.33
% 0.14/0.33 % (22131)Memory used [KB]: 5756
% 0.14/0.33 % (22131)Time elapsed: 0.009 s
% 0.14/0.33 % (22131)Instructions burned: 16 (million)
% 0.14/0.33 % (22131)------------------------------
% 0.14/0.33 % (22131)------------------------------
% 0.14/0.33 % (22132)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)
% 0.14/0.33 % (22132)Instruction limit reached!
% 0.14/0.33 % (22132)------------------------------
% 0.14/0.33 % (22132)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.33 % (22132)Termination reason: Unknown
% 0.14/0.33 % (22132)Termination phase: Saturation
% 0.14/0.33
% 0.14/0.33 % (22132)Memory used [KB]: 5500
% 0.14/0.33 % (22132)Time elapsed: 0.003 s
% 0.14/0.33 % (22132)Instructions burned: 3 (million)
% 0.14/0.33 % (22132)------------------------------
% 0.14/0.33 % (22132)------------------------------
% 0.14/0.34 % (22133)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)
% 0.14/0.34 % (22134)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)
% 0.14/0.34 % (22133)Instruction limit reached!
% 0.14/0.34 % (22133)------------------------------
% 0.14/0.34 % (22133)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.34 % (22133)Termination reason: Unknown
% 0.14/0.34 % (22133)Termination phase: Saturation
% 0.14/0.34
% 0.14/0.34 % (22133)Memory used [KB]: 1023
% 0.14/0.34 % (22133)Time elapsed: 0.004 s
% 0.14/0.34 % (22133)Instructions burned: 4 (million)
% 0.14/0.34 % (22133)------------------------------
% 0.14/0.34 % (22133)------------------------------
% 0.14/0.34 % (22136)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)
% 0.14/0.34 % (22134)Refutation not found, incomplete strategy
% 0.14/0.34 % (22134)------------------------------
% 0.14/0.34 % (22134)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.34 % (22134)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.34
% 0.14/0.34
% 0.14/0.34 % (22134)Memory used [KB]: 5500
% 0.14/0.34 % (22134)Time elapsed: 0.004 s
% 0.14/0.34 % (22134)Instructions burned: 4 (million)
% 0.14/0.34 % (22134)------------------------------
% 0.14/0.34 % (22134)------------------------------
% 0.14/0.34 % (22136)Instruction limit reached!
% 0.14/0.34 % (22136)------------------------------
% 0.14/0.34 % (22136)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.34 % (22136)Termination reason: Unknown
% 0.14/0.34 % (22136)Termination phase: Saturation
% 0.14/0.34
% 0.14/0.34 % (22136)Memory used [KB]: 5500
% 0.14/0.34 % (22136)Time elapsed: 0.002 s
% 0.14/0.34 % (22136)Instructions burned: 3 (million)
% 0.14/0.34 % (22136)------------------------------
% 0.14/0.34 % (22136)------------------------------
% 0.14/0.34 % (22138)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.34 % (22138)Instruction limit reached!
% 0.14/0.34 % (22138)------------------------------
% 0.14/0.34 % (22138)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.34 % (22138)Termination reason: Unknown
% 0.14/0.34 % (22138)Termination phase: Saturation
% 0.14/0.34
% 0.14/0.34 % (22138)Memory used [KB]: 5500
% 0.14/0.34 % (22138)Time elapsed: 0.004 s
% 0.14/0.34 % (22138)Instructions burned: 5 (million)
% 0.14/0.34 % (22138)------------------------------
% 0.14/0.34 % (22138)------------------------------
% 0.14/0.34 % (22140)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)
% 0.14/0.35 % (22118)First to succeed.
% 0.14/0.35 % (22143)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.14/0.35 % (22145)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.35 % (22146)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)
% 0.14/0.35 % (22146)Refutation not found, incomplete strategy
% 0.14/0.35 % (22146)------------------------------
% 0.14/0.35 % (22146)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.35 % (22146)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.35
% 0.14/0.35
% 0.14/0.35 % (22146)Memory used [KB]: 5500
% 0.14/0.35 % (22146)Time elapsed: 0.003 s
% 0.14/0.35 % (22146)Instructions burned: 3 (million)
% 0.14/0.35 % (22146)------------------------------
% 0.14/0.35 % (22146)------------------------------
% 0.14/0.35 % (22140)Instruction limit reached!
% 0.14/0.35 % (22140)------------------------------
% 0.14/0.35 % (22140)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.35 % (22140)Termination reason: Unknown
% 0.14/0.35 % (22140)Termination phase: Saturation
% 0.14/0.35
% 0.14/0.35 % (22140)Memory used [KB]: 5628
% 0.14/0.35 % (22140)Time elapsed: 0.009 s
% 0.14/0.35 % (22140)Instructions burned: 19 (million)
% 0.14/0.35 % (22140)------------------------------
% 0.14/0.35 % (22140)------------------------------
% 0.14/0.35 % (22118)Refutation found. Thanks to Tanya!
% 0.14/0.35 % SZS status Theorem for theBenchmark
% 0.14/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.35 % (22118)------------------------------
% 0.14/0.35 % (22118)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.35 % (22118)Termination reason: Refutation
% 0.14/0.35
% 0.14/0.35 % (22118)Memory used [KB]: 7036
% 0.14/0.35 % (22118)Time elapsed: 0.048 s
% 0.14/0.35 % (22118)Instructions burned: 114 (million)
% 0.14/0.35 % (22118)------------------------------
% 0.14/0.35 % (22118)------------------------------
% 0.14/0.35 % (22116)Success in time 0.052 s
%------------------------------------------------------------------------------