TSTP Solution File: GRA030^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRA030^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 20:42:28 EDT 2024
% Result : Theorem 4.17s 1.01s
% Output : Refutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 65
% Syntax : Number of formulae : 441 ( 1 unt; 16 typ; 0 def)
% Number of atoms : 4102 (1453 equ; 0 cnn)
% Maximal formula atoms : 60 ( 9 avg)
% Number of connectives : 3838 ( 914 ~; 844 |; 363 &;1655 @)
% ( 44 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1431 (1431 >; 0 *; 0 +; 0 <<)
% Number of symbols : 73 ( 70 usr; 56 con; 0-2 aty)
% Number of variables : 1185 (1002 ^ 98 !; 84 ?;1185 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_3,type,
sP0: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o ).
thf(func_def_4,type,
sK1: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_5,type,
sK2: ( ( $o > $o ) > ( $o > $o ) > $o ) > ( $o > $o ) > $o ).
thf(func_def_6,type,
sK3: ( ( $o > $o ) > ( $o > $o ) > $o ) > ( $o > $o ) > $o ).
thf(func_def_7,type,
sK4: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_8,type,
sK5: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_9,type,
sK6: ( ( $o > $o ) > ( $o > $o ) > $o ) > ( $o > $o ) > $o ).
thf(func_def_10,type,
sK7: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_11,type,
sK8: ( ( $o > $o ) > ( $o > $o ) > $o ) > ( $o > $o ) > $o ).
thf(func_def_12,type,
sK9: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_13,type,
sK10: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_14,type,
sK11: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_15,type,
sK12: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_16,type,
sK13: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_17,type,
sK14: ( ( $o > $o ) > ( $o > $o ) > $o ) > ( $o > $o ) > $o ).
thf(func_def_20,type,
ph16:
!>[X0: $tType] : X0 ).
thf(f2150,plain,
$false,
inference(avatar_sat_refutation,[],[f103,f145,f185,f215,f281,f354,f367,f650,f659,f672,f681,f784,f853,f862,f903,f932,f941,f957,f966,f977,f989,f990,f995,f1000,f1021,f1033,f1040,f1054,f1059,f1071,f1112,f1149,f1152,f1155,f1156,f1159,f1160,f1163,f1166,f1519,f1553,f1730,f1734,f1788,f1793,f1796,f1810,f1864,f2023,f2027,f2030,f2033,f2036,f2038,f2047,f2052,f2053,f2056,f2059,f2064,f2070,f2081,f2088,f2091,f2094,f2096,f2098,f2100,f2103,f2109,f2122,f2128,f2134,f2139,f2149]) ).
thf(f2149,plain,
( ~ spl15_52
| ~ spl15_78 ),
inference(avatar_contradiction_clause,[],[f2148]) ).
thf(f2148,plain,
( $false
| ~ spl15_52
| ~ spl15_78 ),
inference(trivial_inequality_removal,[],[f2147]) ).
thf(f2147,plain,
( ( $false = $true )
| ~ spl15_52
| ~ spl15_78 ),
inference(forward_demodulation,[],[f2042,f861]) ).
thf(f861,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ~ spl15_52 ),
inference(avatar_component_clause,[],[f859]) ).
thf(f859,plain,
( spl15_52
<=> ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_52])]) ).
thf(f2042,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_78 ),
inference(avatar_component_clause,[],[f2040]) ).
thf(f2040,plain,
( spl15_78
<=> ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_78])]) ).
thf(f2139,plain,
( spl15_66
| ~ spl15_5
| ~ spl15_48
| ~ spl15_74 ),
inference(avatar_split_clause,[],[f2138,f1051,f678,f96,f974]) ).
thf(f974,plain,
( spl15_66
<=> ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_66])]) ).
thf(f96,plain,
( spl15_5
<=> ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
thf(f678,plain,
( spl15_48
<=> ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).
thf(f1051,plain,
( spl15_74
<=> ( sK27 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_74])]) ).
thf(f2138,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_48
| ~ spl15_74 ),
inference(trivial_inequality_removal,[],[f2137]) ).
thf(f2137,plain,
( ( $false = $true )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_48
| ~ spl15_74 ),
inference(forward_demodulation,[],[f2136,f1053]) ).
thf(f1053,plain,
( ( sK27 = $false )
| ~ spl15_74 ),
inference(avatar_component_clause,[],[f1051]) ).
thf(f2136,plain,
( ( sK27 = $true )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_48 ),
inference(trivial_inequality_removal,[],[f2135]) ).
thf(f2135,plain,
( ( $false = $true )
| ( sK27 = $true )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_48 ),
inference(forward_demodulation,[],[f1044,f680]) ).
thf(f680,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ~ spl15_48 ),
inference(avatar_component_clause,[],[f678]) ).
thf(f1044,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK27 = $true )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1043]) ).
thf(f1043,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK27 = $true )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f1041]) ).
thf(f1041,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK27 )
!= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK27 ) )
| ~ spl15_5 ),
inference(negative_extensionality,[],[f835]) ).
thf(f835,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f817,f98]) ).
thf(f98,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f96]) ).
thf(f817,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(equality_proxy_clausification,[],[f816]) ).
thf(f816,plain,
( ( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f811]) ).
thf(f811,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(primitive_instantiation,[],[f46]) ).
thf(f46,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK5 @ X0 ) @ ( sK9 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( ( X0 @ ( sK7 @ X0 ) @ ( sK1 @ X0 ) )
!= $true )
& ( ( sK2 @ X0 @ ( sK5 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK5 @ X0 ) @ ( sK9 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK7 @ X0 ) @ ( sK5 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK7 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK4 @ X0 ) @ ( sK1 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK4 @ X0 ) @ ( sK5 @ X0 ) )
!= $true )
& ( ( sK2 @ X0 @ ( sK1 @ X0 ) )
= $true )
& ( ( X0 @ ( sK5 @ X0 ) @ ( sK1 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK4 @ X0 ) @ ( sK9 @ X0 ) )
!= $true )
& ( ( sK2 @ X0 @ ( sK4 @ X0 ) )
!= $true )
& ( ( sK8 @ X0 @ ( sK9 @ X0 ) )
= $true )
& ( ( sK3 @ X0 @ ( sK7 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK5 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK7 @ X0 ) @ ( sK4 @ X0 ) )
!= $true )
& ( ( sK8 @ X0 @ ( sK5 @ X0 ) )
!= $true )
& ( ( sK3 @ X0 @ ( sK5 @ X0 ) )
= $true )
& ( ( sK2 @ X0 @ ( sK7 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK1 @ X0 ) @ ( sK9 @ X0 ) )
!= $true )
& ( ( sK8 @ X0 @ ( sK1 @ X0 ) )
!= $true )
& ( ( sK3 @ X0 @ ( sK1 @ X0 ) )
!= $true )
& ( ( sK8 @ X0 @ ( sK4 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK9 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK7 @ X0 ) @ ( sK9 @ X0 ) )
!= $true )
& ( ( sK8 @ X0 @ ( sK7 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK1 @ X0 ) )
!= $true )
& ( ( sK2 @ X0 @ ( sK9 @ X0 ) )
!= $true )
& ( ( sK3 @ X0 @ ( sK4 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK4 @ X0 ) )
= $true )
& ( ( sK3 @ X0 @ ( sK9 @ X0 ) )
!= $true ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f12,f13]) ).
thf(f13,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X1: $o > $o,X2: ( $o > $o ) > $o,X3: ( $o > $o ) > $o,X4: $o > $o,X5: $o > $o,X6: ( $o > $o ) > $o,X7: $o > $o,X8: ( $o > $o ) > $o,X9: $o > $o] :
( ( ( X0 @ X7 @ X1 )
!= $true )
& ( ( X2 @ X5 )
!= $true )
& ( ( X0 @ X5 @ X9 )
!= $true )
& ( ( X0 @ X7 @ X5 )
!= $true )
& ( ( X6 @ X7 )
!= $true )
& ( ( X0 @ X4 @ X1 )
!= $true )
& ( ( X0 @ X4 @ X5 )
!= $true )
& ( ( X2 @ X1 )
= $true )
& ( ( X0 @ X5 @ X1 )
!= $true )
& ( ( X0 @ X4 @ X9 )
!= $true )
& ( ( X2 @ X4 )
!= $true )
& ( ( X8 @ X9 )
= $true )
& ( ( X3 @ X7 )
!= $true )
& ( ( X6 @ X5 )
!= $true )
& ( ( X0 @ X7 @ X4 )
!= $true )
& ( ( X8 @ X5 )
!= $true )
& ( ( X3 @ X5 )
= $true )
& ( ( X2 @ X7 )
!= $true )
& ( ( X0 @ X1 @ X9 )
!= $true )
& ( ( X8 @ X1 )
!= $true )
& ( ( X3 @ X1 )
!= $true )
& ( ( X8 @ X4 )
!= $true )
& ( ( X6 @ X9 )
!= $true )
& ( ( X0 @ X7 @ X9 )
!= $true )
& ( ( X8 @ X7 )
!= $true )
& ( ( X6 @ X1 )
!= $true )
& ( ( X2 @ X9 )
!= $true )
& ( ( X3 @ X4 )
!= $true )
& ( ( X6 @ X4 )
= $true )
& ( ( X3 @ X9 )
!= $true ) )
=> ( ( ( X0 @ ( sK7 @ X0 ) @ ( sK1 @ X0 ) )
!= $true )
& ( ( sK2 @ X0 @ ( sK5 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK5 @ X0 ) @ ( sK9 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK7 @ X0 ) @ ( sK5 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK7 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK4 @ X0 ) @ ( sK1 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK4 @ X0 ) @ ( sK5 @ X0 ) )
!= $true )
& ( ( sK2 @ X0 @ ( sK1 @ X0 ) )
= $true )
& ( ( X0 @ ( sK5 @ X0 ) @ ( sK1 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK4 @ X0 ) @ ( sK9 @ X0 ) )
!= $true )
& ( ( sK2 @ X0 @ ( sK4 @ X0 ) )
!= $true )
& ( ( sK8 @ X0 @ ( sK9 @ X0 ) )
= $true )
& ( ( sK3 @ X0 @ ( sK7 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK5 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK7 @ X0 ) @ ( sK4 @ X0 ) )
!= $true )
& ( ( sK8 @ X0 @ ( sK5 @ X0 ) )
!= $true )
& ( ( sK3 @ X0 @ ( sK5 @ X0 ) )
= $true )
& ( ( sK2 @ X0 @ ( sK7 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK1 @ X0 ) @ ( sK9 @ X0 ) )
!= $true )
& ( ( sK8 @ X0 @ ( sK1 @ X0 ) )
!= $true )
& ( ( sK3 @ X0 @ ( sK1 @ X0 ) )
!= $true )
& ( ( sK8 @ X0 @ ( sK4 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK9 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK7 @ X0 ) @ ( sK9 @ X0 ) )
!= $true )
& ( ( sK8 @ X0 @ ( sK7 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK1 @ X0 ) )
!= $true )
& ( ( sK2 @ X0 @ ( sK9 @ X0 ) )
!= $true )
& ( ( sK3 @ X0 @ ( sK4 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK4 @ X0 ) )
= $true )
& ( ( sK3 @ X0 @ ( sK9 @ X0 ) )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X1: $o > $o,X2: ( $o > $o ) > $o,X3: ( $o > $o ) > $o,X4: $o > $o,X5: $o > $o,X6: ( $o > $o ) > $o,X7: $o > $o,X8: ( $o > $o ) > $o,X9: $o > $o] :
( ( ( X0 @ X7 @ X1 )
!= $true )
& ( ( X2 @ X5 )
!= $true )
& ( ( X0 @ X5 @ X9 )
!= $true )
& ( ( X0 @ X7 @ X5 )
!= $true )
& ( ( X6 @ X7 )
!= $true )
& ( ( X0 @ X4 @ X1 )
!= $true )
& ( ( X0 @ X4 @ X5 )
!= $true )
& ( ( X2 @ X1 )
= $true )
& ( ( X0 @ X5 @ X1 )
!= $true )
& ( ( X0 @ X4 @ X9 )
!= $true )
& ( ( X2 @ X4 )
!= $true )
& ( ( X8 @ X9 )
= $true )
& ( ( X3 @ X7 )
!= $true )
& ( ( X6 @ X5 )
!= $true )
& ( ( X0 @ X7 @ X4 )
!= $true )
& ( ( X8 @ X5 )
!= $true )
& ( ( X3 @ X5 )
= $true )
& ( ( X2 @ X7 )
!= $true )
& ( ( X0 @ X1 @ X9 )
!= $true )
& ( ( X8 @ X1 )
!= $true )
& ( ( X3 @ X1 )
!= $true )
& ( ( X8 @ X4 )
!= $true )
& ( ( X6 @ X9 )
!= $true )
& ( ( X0 @ X7 @ X9 )
!= $true )
& ( ( X8 @ X7 )
!= $true )
& ( ( X6 @ X1 )
!= $true )
& ( ( X2 @ X9 )
!= $true )
& ( ( X3 @ X4 )
!= $true )
& ( ( X6 @ X4 )
= $true )
& ( ( X3 @ X9 )
!= $true ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(rectify,[],[f11]) ).
thf(f11,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X8: $o > $o,X14: ( $o > $o ) > $o,X13: ( $o > $o ) > $o,X10: $o > $o,X12: $o > $o,X7: ( $o > $o ) > $o,X11: $o > $o,X6: ( $o > $o ) > $o,X9: $o > $o] :
( ( ( X0 @ X11 @ X8 )
!= $true )
& ( ( X14 @ X12 )
!= $true )
& ( ( X0 @ X12 @ X9 )
!= $true )
& ( ( X0 @ X11 @ X12 )
!= $true )
& ( ( X7 @ X11 )
!= $true )
& ( ( X0 @ X10 @ X8 )
!= $true )
& ( ( X0 @ X10 @ X12 )
!= $true )
& ( ( X14 @ X8 )
= $true )
& ( ( X0 @ X12 @ X8 )
!= $true )
& ( ( X0 @ X10 @ X9 )
!= $true )
& ( ( X14 @ X10 )
!= $true )
& ( ( X6 @ X9 )
= $true )
& ( ( X13 @ X11 )
!= $true )
& ( ( X7 @ X12 )
!= $true )
& ( ( X0 @ X11 @ X10 )
!= $true )
& ( ( X6 @ X12 )
!= $true )
& ( ( X13 @ X12 )
= $true )
& ( ( X14 @ X11 )
!= $true )
& ( ( X0 @ X8 @ X9 )
!= $true )
& ( ( X6 @ X8 )
!= $true )
& ( ( X13 @ X8 )
!= $true )
& ( ( X6 @ X10 )
!= $true )
& ( ( X7 @ X9 )
!= $true )
& ( ( X0 @ X11 @ X9 )
!= $true )
& ( ( X6 @ X11 )
!= $true )
& ( ( X7 @ X8 )
!= $true )
& ( ( X14 @ X9 )
!= $true )
& ( ( X13 @ X10 )
!= $true )
& ( ( X7 @ X10 )
= $true )
& ( ( X13 @ X9 )
!= $true ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(nnf_transformation,[],[f9]) ).
thf(f9,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X8: $o > $o,X14: ( $o > $o ) > $o,X13: ( $o > $o ) > $o,X10: $o > $o,X12: $o > $o,X7: ( $o > $o ) > $o,X11: $o > $o,X6: ( $o > $o ) > $o,X9: $o > $o] :
( ( ( X0 @ X11 @ X8 )
!= $true )
& ( ( X14 @ X12 )
!= $true )
& ( ( X0 @ X12 @ X9 )
!= $true )
& ( ( X0 @ X11 @ X12 )
!= $true )
& ( ( X7 @ X11 )
!= $true )
& ( ( X0 @ X10 @ X8 )
!= $true )
& ( ( X0 @ X10 @ X12 )
!= $true )
& ( ( X14 @ X8 )
= $true )
& ( ( X0 @ X12 @ X8 )
!= $true )
& ( ( X0 @ X10 @ X9 )
!= $true )
& ( ( X14 @ X10 )
!= $true )
& ( ( X6 @ X9 )
= $true )
& ( ( X13 @ X11 )
!= $true )
& ( ( X7 @ X12 )
!= $true )
& ( ( X0 @ X11 @ X10 )
!= $true )
& ( ( X6 @ X12 )
!= $true )
& ( ( X13 @ X12 )
= $true )
& ( ( X14 @ X11 )
!= $true )
& ( ( X0 @ X8 @ X9 )
!= $true )
& ( ( X6 @ X8 )
!= $true )
& ( ( X13 @ X8 )
!= $true )
& ( ( X6 @ X10 )
!= $true )
& ( ( X7 @ X9 )
!= $true )
& ( ( X0 @ X11 @ X9 )
!= $true )
& ( ( X6 @ X11 )
!= $true )
& ( ( X7 @ X8 )
!= $true )
& ( ( X14 @ X9 )
!= $true )
& ( ( X13 @ X10 )
!= $true )
& ( ( X7 @ X10 )
= $true )
& ( ( X13 @ X9 )
!= $true ) )
| ( ( sP0 @ X0 )
!= $true ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f2134,plain,
( spl15_78
| ~ spl15_5
| ~ spl15_48
| ~ spl15_49 ),
inference(avatar_split_clause,[],[f2133,f846,f678,f96,f2040]) ).
thf(f846,plain,
( spl15_49
<=> ( $false = sK20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).
thf(f2133,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_48
| ~ spl15_49 ),
inference(trivial_inequality_removal,[],[f2132]) ).
thf(f2132,plain,
( ( $false = $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_48
| ~ spl15_49 ),
inference(forward_demodulation,[],[f2131,f680]) ).
thf(f2131,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_49 ),
inference(trivial_inequality_removal,[],[f2130]) ).
thf(f2130,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ~ spl15_5
| ~ spl15_49 ),
inference(forward_demodulation,[],[f839,f848]) ).
thf(f848,plain,
( ( $false = sK20 )
| ~ spl15_49 ),
inference(avatar_component_clause,[],[f846]) ).
thf(f839,plain,
( ( sK20 = $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f838]) ).
thf(f838,plain,
( ( sK20 = $true )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f836]) ).
thf(f836,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK20 )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK20 ) )
| ~ spl15_5 ),
inference(negative_extensionality,[],[f605]) ).
thf(f605,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f588,f98]) ).
thf(f588,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(equality_proxy_clausification,[],[f587]) ).
thf(f587,plain,
( ( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f576]) ).
thf(f576,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(primitive_instantiation,[],[f30]) ).
thf(f30,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK1 @ X0 ) @ ( sK9 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f2128,plain,
( spl15_55
| ~ spl15_5
| ~ spl15_48
| ~ spl15_58 ),
inference(avatar_split_clause,[],[f2127,f929,f678,f96,f907]) ).
thf(f907,plain,
( spl15_55
<=> ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_55])]) ).
thf(f929,plain,
( spl15_58
<=> ( $false = sK22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_58])]) ).
thf(f2127,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_48
| ~ spl15_58 ),
inference(trivial_inequality_removal,[],[f2126]) ).
thf(f2126,plain,
( ( $false = $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_48
| ~ spl15_58 ),
inference(forward_demodulation,[],[f2125,f680]) ).
thf(f2125,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_58 ),
inference(trivial_inequality_removal,[],[f2124]) ).
thf(f2124,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ~ spl15_5
| ~ spl15_58 ),
inference(forward_demodulation,[],[f918,f931]) ).
thf(f931,plain,
( ( $false = sK22 )
| ~ spl15_58 ),
inference(avatar_component_clause,[],[f929]) ).
thf(f918,plain,
( ( sK22 = $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f917]) ).
thf(f917,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK22 = $true )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f915]) ).
thf(f915,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK22 )
!= ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK22 ) )
| ~ spl15_5 ),
inference(negative_extensionality,[],[f706]) ).
thf(f706,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f705,f98]) ).
thf(f705,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f704]) ).
thf(f704,plain,
( ( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f682]) ).
thf(f682,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(primitive_instantiation,[],[f39]) ).
thf(f39,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK4 @ X0 ) @ ( sK9 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f2122,plain,
( ~ spl15_44
| ~ spl15_48 ),
inference(avatar_contradiction_clause,[],[f2121]) ).
thf(f2121,plain,
( $false
| ~ spl15_44
| ~ spl15_48 ),
inference(trivial_inequality_removal,[],[f2120]) ).
thf(f2120,plain,
( ( $false = $true )
| ~ spl15_44
| ~ spl15_48 ),
inference(backward_demodulation,[],[f663,f680]) ).
thf(f663,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_44 ),
inference(avatar_component_clause,[],[f661]) ).
thf(f661,plain,
( spl15_44
<=> ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).
thf(f2109,plain,
( ~ spl15_72
| ~ spl15_73 ),
inference(avatar_contradiction_clause,[],[f2108]) ).
thf(f2108,plain,
( $false
| ~ spl15_72
| ~ spl15_73 ),
inference(trivial_inequality_removal,[],[f2107]) ).
thf(f2107,plain,
( ( $false = $true )
| ~ spl15_72
| ~ spl15_73 ),
inference(forward_demodulation,[],[f1039,f1032]) ).
thf(f1032,plain,
( ( sK26 = $false )
| ~ spl15_72 ),
inference(avatar_component_clause,[],[f1030]) ).
thf(f1030,plain,
( spl15_72
<=> ( sK26 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_72])]) ).
thf(f1039,plain,
( ( sK26 = $true )
| ~ spl15_73 ),
inference(avatar_component_clause,[],[f1037]) ).
thf(f1037,plain,
( spl15_73
<=> ( sK26 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_73])]) ).
thf(f2103,plain,
( spl15_42
| spl15_63
| spl15_74
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f1047,f96,f1051,f959,f652]) ).
thf(f652,plain,
( spl15_42
<=> ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).
thf(f959,plain,
( spl15_63
<=> ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_63])]) ).
thf(f1047,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( sK27 = $false )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1042]) ).
thf(f1042,plain,
( ( sK27 = $false )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f1041]) ).
thf(f2100,plain,
( spl15_50
| spl15_49
| spl15_41
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f841,f96,f647,f846,f850]) ).
thf(f850,plain,
( spl15_50
<=> ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).
thf(f647,plain,
( spl15_41
<=> ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).
thf(f841,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK20 )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f837]) ).
thf(f837,plain,
( ( $false = sK20 )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f836]) ).
thf(f2098,plain,
( spl15_49
| spl15_42
| spl15_64
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f842,f96,f963,f652,f846]) ).
thf(f963,plain,
( spl15_64
<=> ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_64])]) ).
thf(f842,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( $false = sK20 )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f837]) ).
thf(f2096,plain,
( spl15_73
| spl15_69
| spl15_47
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f1026,f96,f674,f997,f1037]) ).
thf(f997,plain,
( spl15_69
<=> ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_69])]) ).
thf(f674,plain,
( spl15_47
<=> ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_47])]) ).
thf(f1026,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( sK26 = $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1024]) ).
thf(f1024,plain,
( ( sK26 = $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f1022]) ).
thf(f1022,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK26 )
!= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK26 ) )
| ~ spl15_5 ),
inference(negative_extensionality,[],[f810]) ).
thf(f810,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f793,f98]) ).
thf(f793,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(equality_proxy_clausification,[],[f792]) ).
thf(f792,plain,
( ( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f786]) ).
thf(f786,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(primitive_instantiation,[],[f45]) ).
thf(f45,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK7 @ X0 ) @ ( sK5 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f2094,plain,
( spl15_72
| spl15_39
| spl15_61
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f1027,f96,f950,f639,f1030]) ).
thf(f639,plain,
( spl15_39
<=> ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).
thf(f950,plain,
( spl15_61
<=> ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_61])]) ).
thf(f1027,plain,
( ( sK26 = $false )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1023]) ).
thf(f1023,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( sK26 = $false )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f1022]) ).
thf(f2091,plain,
( spl15_39
| spl15_61
| ~ spl15_5
| ~ spl15_73 ),
inference(avatar_split_clause,[],[f2090,f1037,f96,f950,f639]) ).
thf(f2090,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_5
| ~ spl15_73 ),
inference(trivial_inequality_removal,[],[f2089]) ).
thf(f2089,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_5
| ~ spl15_73 ),
inference(forward_demodulation,[],[f1027,f1039]) ).
thf(f2088,plain,
( ~ spl15_74
| ~ spl15_75 ),
inference(avatar_contradiction_clause,[],[f2087]) ).
thf(f2087,plain,
( $false
| ~ spl15_74
| ~ spl15_75 ),
inference(trivial_inequality_removal,[],[f2086]) ).
thf(f2086,plain,
( ( $false = $true )
| ~ spl15_74
| ~ spl15_75 ),
inference(forward_demodulation,[],[f1058,f1053]) ).
thf(f1058,plain,
( ( sK27 = $true )
| ~ spl15_75 ),
inference(avatar_component_clause,[],[f1056]) ).
thf(f1056,plain,
( spl15_75
<=> ( sK27 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_75])]) ).
thf(f2081,plain,
( spl15_47
| spl15_52
| ~ spl15_5
| ~ spl15_76 ),
inference(avatar_split_clause,[],[f2080,f1068,f96,f859,f674]) ).
thf(f1068,plain,
( spl15_76
<=> ( sK28 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_76])]) ).
thf(f2080,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ~ spl15_5
| ~ spl15_76 ),
inference(trivial_inequality_removal,[],[f2079]) ).
thf(f2079,plain,
( ( $false = $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ~ spl15_5
| ~ spl15_76 ),
inference(forward_demodulation,[],[f1064,f1070]) ).
thf(f1070,plain,
( ( sK28 = $false )
| ~ spl15_76 ),
inference(avatar_component_clause,[],[f1068]) ).
thf(f1064,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( sK28 = $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1062]) ).
thf(f1062,plain,
( ( sK28 = $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f1060]) ).
thf(f1060,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK28 )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK28 ) )
| ~ spl15_5 ),
inference(negative_extensionality,[],[f887]) ).
thf(f887,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f875,f98]) ).
thf(f875,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f874]) ).
thf(f874,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true )
| ( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f863]) ).
thf(f863,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(primitive_instantiation,[],[f48]) ).
thf(f48,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK7 @ X0 ) @ ( sK1 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f2070,plain,
( spl15_47
| spl15_60
| ~ spl15_5
| ~ spl15_53 ),
inference(avatar_split_clause,[],[f2069,f896,f96,f938,f674]) ).
thf(f938,plain,
( spl15_60
<=> ( $false
= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_60])]) ).
thf(f896,plain,
( spl15_53
<=> ( sK21 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).
thf(f2069,plain,
( ( $false
= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ~ spl15_5
| ~ spl15_53 ),
inference(trivial_inequality_removal,[],[f2068]) ).
thf(f2068,plain,
( ( $false = $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( $false
= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_5
| ~ spl15_53 ),
inference(forward_demodulation,[],[f892,f898]) ).
thf(f898,plain,
( ( sK21 = $false )
| ~ spl15_53 ),
inference(avatar_component_clause,[],[f896]) ).
thf(f892,plain,
( ( $false
= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( sK21 = $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f890]) ).
thf(f890,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK21 = $true )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f888]) ).
thf(f888,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK21 )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK21 ) )
| ~ spl15_5 ),
inference(negative_extensionality,[],[f630]) ).
thf(f630,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f622,f98]) ).
thf(f622,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(equality_proxy_clausification,[],[f621]) ).
thf(f621,plain,
( ( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f606]) ).
thf(f606,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(primitive_instantiation,[],[f34]) ).
thf(f34,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK7 @ X0 ) @ ( sK4 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f2064,plain,
( spl15_46
| spl15_55
| ~ spl15_5
| ~ spl15_53 ),
inference(avatar_split_clause,[],[f2063,f896,f96,f907,f669]) ).
thf(f669,plain,
( spl15_46
<=> ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_46])]) ).
thf(f2063,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_53 ),
inference(trivial_inequality_removal,[],[f2062]) ).
thf(f2062,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_53 ),
inference(forward_demodulation,[],[f891,f898]) ).
thf(f891,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK21 = $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f890]) ).
thf(f2059,plain,
( ~ spl15_53
| ~ spl15_56 ),
inference(avatar_contradiction_clause,[],[f2058]) ).
thf(f2058,plain,
( $false
| ~ spl15_53
| ~ spl15_56 ),
inference(trivial_inequality_removal,[],[f2057]) ).
thf(f2057,plain,
( ( $false = $true )
| ~ spl15_53
| ~ spl15_56 ),
inference(backward_demodulation,[],[f913,f898]) ).
thf(f913,plain,
( ( sK21 = $true )
| ~ spl15_56 ),
inference(avatar_component_clause,[],[f911]) ).
thf(f911,plain,
( spl15_56
<=> ( sK21 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_56])]) ).
thf(f2056,plain,
( spl15_58
| spl15_54
| ~ spl15_5
| spl15_42 ),
inference(avatar_split_clause,[],[f2055,f652,f96,f900,f929]) ).
thf(f900,plain,
( spl15_54
<=> ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_54])]) ).
thf(f2055,plain,
( ( $false = sK22 )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ~ spl15_5
| spl15_42 ),
inference(subsumption_resolution,[],[f921,f653]) ).
thf(f653,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= $false )
| spl15_42 ),
inference(avatar_component_clause,[],[f652]) ).
thf(f921,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( $false = sK22 )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f916]) ).
thf(f916,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK22 )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f915]) ).
thf(f2053,plain,
( spl15_70
| spl15_54
| spl15_64
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f1007,f96,f963,f900,f1011]) ).
thf(f1011,plain,
( spl15_70
<=> ( sK25 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_70])]) ).
thf(f1007,plain,
( ( sK25 = $false )
| ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1002]) ).
thf(f1002,plain,
( ( sK25 = $false )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f1001]) ).
thf(f1001,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK25 )
!= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK25 ) )
| ~ spl15_5 ),
inference(negative_extensionality,[],[f781]) ).
thf(f781,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f764,f98]) ).
thf(f764,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f763]) ).
thf(f763,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true )
| ( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f757]) ).
thf(f757,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(primitive_instantiation,[],[f43]) ).
thf(f43,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK4 @ X0 ) @ ( sK1 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f2052,plain,
( ~ spl15_70
| ~ spl15_71 ),
inference(avatar_contradiction_clause,[],[f2051]) ).
thf(f2051,plain,
( $false
| ~ spl15_70
| ~ spl15_71 ),
inference(trivial_inequality_removal,[],[f2050]) ).
thf(f2050,plain,
( ( $false = $true )
| ~ spl15_70
| ~ spl15_71 ),
inference(forward_demodulation,[],[f1020,f1013]) ).
thf(f1013,plain,
( ( sK25 = $false )
| ~ spl15_70 ),
inference(avatar_component_clause,[],[f1011]) ).
thf(f1020,plain,
( ( sK25 = $true )
| ~ spl15_71 ),
inference(avatar_component_clause,[],[f1018]) ).
thf(f1018,plain,
( spl15_71
<=> ( sK25 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_71])]) ).
thf(f2047,plain,
( spl15_56
| spl15_55
| ~ spl15_5
| ~ spl15_47 ),
inference(avatar_split_clause,[],[f2046,f674,f96,f907,f911]) ).
thf(f2046,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK21 = $true )
| ~ spl15_5
| ~ spl15_47 ),
inference(trivial_inequality_removal,[],[f2045]) ).
thf(f2045,plain,
( ( sK21 = $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ~ spl15_5
| ~ spl15_47 ),
inference(forward_demodulation,[],[f891,f676]) ).
thf(f676,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ~ spl15_47 ),
inference(avatar_component_clause,[],[f674]) ).
thf(f2038,plain,
( spl15_52
| spl15_69
| spl15_65
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f946,f96,f970,f997,f859]) ).
thf(f970,plain,
( spl15_65
<=> ( sK23 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_65])]) ).
thf(f946,plain,
( ( sK23 = $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f944]) ).
thf(f944,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK23 = $true )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f942]) ).
thf(f942,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK23 )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK23 ) )
| ~ spl15_5 ),
inference(negative_extensionality,[],[f731]) ).
thf(f731,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f719,f98]) ).
thf(f719,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(equality_proxy_clausification,[],[f718]) ).
thf(f718,plain,
( ( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f707]) ).
thf(f707,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(primitive_instantiation,[],[f40]) ).
thf(f40,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK5 @ X0 ) @ ( sK1 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f2036,plain,
( spl15_70
| spl15_50
| ~ spl15_5
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f2035,f900,f96,f850,f1011]) ).
thf(f2035,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( sK25 = $false )
| ~ spl15_5
| ~ spl15_54 ),
inference(trivial_inequality_removal,[],[f2034]) ).
thf(f2034,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( sK25 = $false )
| ( $false = $true )
| ~ spl15_5
| ~ spl15_54 ),
inference(forward_demodulation,[],[f1006,f902]) ).
thf(f902,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ~ spl15_54 ),
inference(avatar_component_clause,[],[f900]) ).
thf(f1006,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( sK25 = $false )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1002]) ).
thf(f2033,plain,
( spl15_64
| spl15_49
| ~ spl15_5
| spl15_42 ),
inference(avatar_split_clause,[],[f2032,f652,f96,f846,f963]) ).
thf(f2032,plain,
( ( $false = sK20 )
| ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_5
| spl15_42 ),
inference(subsumption_resolution,[],[f842,f653]) ).
thf(f2030,plain,
( ~ spl15_49
| ~ spl15_51 ),
inference(avatar_contradiction_clause,[],[f2029]) ).
thf(f2029,plain,
( $false
| ~ spl15_49
| ~ spl15_51 ),
inference(trivial_inequality_removal,[],[f2028]) ).
thf(f2028,plain,
( ( $false = $true )
| ~ spl15_49
| ~ spl15_51 ),
inference(forward_demodulation,[],[f857,f848]) ).
thf(f857,plain,
( ( sK20 = $true )
| ~ spl15_51 ),
inference(avatar_component_clause,[],[f855]) ).
thf(f855,plain,
( spl15_51
<=> ( sK20 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).
thf(f2027,plain,
( spl15_52
| ~ spl15_5
| spl15_60
| ~ spl15_70 ),
inference(avatar_split_clause,[],[f2026,f1011,f938,f96,f859]) ).
thf(f2026,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ~ spl15_5
| spl15_60
| ~ spl15_70 ),
inference(trivial_inequality_removal,[],[f2025]) ).
thf(f2025,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( $false = $true )
| ~ spl15_5
| spl15_60
| ~ spl15_70 ),
inference(forward_demodulation,[],[f2024,f1013]) ).
thf(f2024,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( sK25 = $true )
| ~ spl15_5
| spl15_60 ),
inference(subsumption_resolution,[],[f1005,f939]) ).
thf(f939,plain,
( ( $false
!= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_60 ),
inference(avatar_component_clause,[],[f938]) ).
thf(f1005,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( $false
= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK25 = $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1003]) ).
thf(f1003,plain,
( ( sK25 = $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f1001]) ).
thf(f2023,plain,
( ~ spl15_50
| ~ spl15_64 ),
inference(avatar_contradiction_clause,[],[f2022]) ).
thf(f2022,plain,
( $false
| ~ spl15_50
| ~ spl15_64 ),
inference(trivial_inequality_removal,[],[f2021]) ).
thf(f2021,plain,
( ( $false = $true )
| ~ spl15_50
| ~ spl15_64 ),
inference(backward_demodulation,[],[f852,f965]) ).
thf(f965,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_64 ),
inference(avatar_component_clause,[],[f963]) ).
thf(f852,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_50 ),
inference(avatar_component_clause,[],[f850]) ).
thf(f1864,plain,
( ~ spl15_40
| ~ spl15_45 ),
inference(avatar_contradiction_clause,[],[f1863]) ).
thf(f1863,plain,
( $false
| ~ spl15_40
| ~ spl15_45 ),
inference(trivial_inequality_removal,[],[f1862]) ).
thf(f1862,plain,
( ( $false = $true )
| ~ spl15_40
| ~ spl15_45 ),
inference(forward_demodulation,[],[f667,f645]) ).
thf(f645,plain,
( ( $false = sK19 )
| ~ spl15_40 ),
inference(avatar_component_clause,[],[f643]) ).
thf(f643,plain,
( spl15_40
<=> ( $false = sK19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).
thf(f667,plain,
( ( sK19 = $true )
| ~ spl15_45 ),
inference(avatar_component_clause,[],[f665]) ).
thf(f665,plain,
( spl15_45
<=> ( sK19 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).
thf(f1810,plain,
( spl15_72
| spl15_39
| ~ spl15_5
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f1809,f959,f96,f639,f1030]) ).
thf(f1809,plain,
( ( sK26 = $false )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_5
| ~ spl15_63 ),
inference(trivial_inequality_removal,[],[f1808]) ).
thf(f1808,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( sK26 = $false )
| ( $false = $true )
| ~ spl15_5
| ~ spl15_63 ),
inference(forward_demodulation,[],[f1027,f961]) ).
thf(f961,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ~ spl15_63 ),
inference(avatar_component_clause,[],[f959]) ).
thf(f1796,plain,
( ~ spl15_62
| ~ spl15_65 ),
inference(avatar_contradiction_clause,[],[f1795]) ).
thf(f1795,plain,
( $false
| ~ spl15_62
| ~ spl15_65 ),
inference(trivial_inequality_removal,[],[f1794]) ).
thf(f1794,plain,
( ( $false = $true )
| ~ spl15_62
| ~ spl15_65 ),
inference(forward_demodulation,[],[f972,f956]) ).
thf(f956,plain,
( ( sK23 = $false )
| ~ spl15_62 ),
inference(avatar_component_clause,[],[f954]) ).
thf(f954,plain,
( spl15_62
<=> ( sK23 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_62])]) ).
thf(f972,plain,
( ( sK23 = $true )
| ~ spl15_65 ),
inference(avatar_component_clause,[],[f970]) ).
thf(f1793,plain,
( spl15_46
| ~ spl15_5
| ~ spl15_69
| ~ spl15_72 ),
inference(avatar_split_clause,[],[f1792,f1030,f997,f96,f669]) ).
thf(f1792,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_69
| ~ spl15_72 ),
inference(trivial_inequality_removal,[],[f1791]) ).
thf(f1791,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ~ spl15_5
| ~ spl15_69
| ~ spl15_72 ),
inference(forward_demodulation,[],[f1790,f1032]) ).
thf(f1790,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK26 = $true )
| ~ spl15_5
| ~ spl15_69 ),
inference(trivial_inequality_removal,[],[f1789]) ).
thf(f1789,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK26 = $true )
| ( $false = $true )
| ~ spl15_5
| ~ spl15_69 ),
inference(forward_demodulation,[],[f1025,f999]) ).
thf(f999,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ~ spl15_69 ),
inference(avatar_component_clause,[],[f997]) ).
thf(f1025,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK26 = $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1024]) ).
thf(f1788,plain,
( ~ spl15_66
| ~ spl15_69 ),
inference(avatar_contradiction_clause,[],[f1787]) ).
thf(f1787,plain,
( $false
| ~ spl15_66
| ~ spl15_69 ),
inference(trivial_inequality_removal,[],[f1786]) ).
thf(f1786,plain,
( ( $false = $true )
| ~ spl15_66
| ~ spl15_69 ),
inference(backward_demodulation,[],[f976,f999]) ).
thf(f976,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_66 ),
inference(avatar_component_clause,[],[f974]) ).
thf(f1734,plain,
( ~ spl15_67
| ~ spl15_68 ),
inference(avatar_contradiction_clause,[],[f1733]) ).
thf(f1733,plain,
( $false
| ~ spl15_67
| ~ spl15_68 ),
inference(trivial_inequality_removal,[],[f1732]) ).
thf(f1732,plain,
( ( $false = $true )
| ~ spl15_67
| ~ spl15_68 ),
inference(backward_demodulation,[],[f994,f988]) ).
thf(f988,plain,
( ( $false = sK24 )
| ~ spl15_67 ),
inference(avatar_component_clause,[],[f986]) ).
thf(f986,plain,
( spl15_67
<=> ( $false = sK24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_67])]) ).
thf(f994,plain,
( ( sK24 = $true )
| ~ spl15_68 ),
inference(avatar_component_clause,[],[f992]) ).
thf(f992,plain,
( spl15_68
<=> ( sK24 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_68])]) ).
thf(f1730,plain,
( ~ spl15_61
| ~ spl15_63 ),
inference(avatar_contradiction_clause,[],[f1729]) ).
thf(f1729,plain,
( $false
| ~ spl15_61
| ~ spl15_63 ),
inference(trivial_inequality_removal,[],[f1728]) ).
thf(f1728,plain,
( ( $false = $true )
| ~ spl15_61
| ~ spl15_63 ),
inference(backward_demodulation,[],[f952,f961]) ).
thf(f952,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_61 ),
inference(avatar_component_clause,[],[f950]) ).
thf(f1553,plain,
( ~ spl15_55
| ~ spl15_60 ),
inference(avatar_contradiction_clause,[],[f1552]) ).
thf(f1552,plain,
( $false
| ~ spl15_55
| ~ spl15_60 ),
inference(trivial_inequality_removal,[],[f1551]) ).
thf(f1551,plain,
( ( $false = $true )
| ~ spl15_55
| ~ spl15_60 ),
inference(backward_demodulation,[],[f909,f940]) ).
thf(f940,plain,
( ( $false
= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_60 ),
inference(avatar_component_clause,[],[f938]) ).
thf(f909,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_55 ),
inference(avatar_component_clause,[],[f907]) ).
thf(f1519,plain,
( ~ spl15_54
| ~ spl15_57 ),
inference(avatar_contradiction_clause,[],[f1518]) ).
thf(f1518,plain,
( $false
| ~ spl15_54
| ~ spl15_57 ),
inference(trivial_inequality_removal,[],[f1517]) ).
thf(f1517,plain,
( ( $false = $true )
| ~ spl15_54
| ~ spl15_57 ),
inference(forward_demodulation,[],[f927,f902]) ).
thf(f927,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_57 ),
inference(avatar_component_clause,[],[f925]) ).
thf(f925,plain,
( spl15_57
<=> ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_57])]) ).
thf(f1166,plain,
( spl15_57
| spl15_41
| ~ spl15_5
| ~ spl15_59 ),
inference(avatar_split_clause,[],[f1165,f934,f96,f647,f925]) ).
thf(f934,plain,
( spl15_59
<=> ( sK22 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_59])]) ).
thf(f1165,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_5
| ~ spl15_59 ),
inference(trivial_inequality_removal,[],[f1164]) ).
thf(f1164,plain,
( ( $false = $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_5
| ~ spl15_59 ),
inference(forward_demodulation,[],[f920,f936]) ).
thf(f936,plain,
( ( sK22 = $true )
| ~ spl15_59 ),
inference(avatar_component_clause,[],[f934]) ).
thf(f920,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK22 )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f916]) ).
thf(f1163,plain,
( spl15_42
| spl15_54
| ~ spl15_5
| ~ spl15_59 ),
inference(avatar_split_clause,[],[f1162,f934,f96,f900,f652]) ).
thf(f1162,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ~ spl15_5
| ~ spl15_59 ),
inference(trivial_inequality_removal,[],[f1161]) ).
thf(f1161,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( $false = $true )
| ~ spl15_5
| ~ spl15_59 ),
inference(forward_demodulation,[],[f921,f936]) ).
thf(f1160,plain,
( spl15_57
| spl15_53
| spl15_39
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f893,f96,f639,f896,f925]) ).
thf(f893,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( sK21 = $false )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f889]) ).
thf(f889,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( sK21 = $false )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f888]) ).
thf(f1159,plain,
( spl15_42
| spl15_63
| ~ spl15_5
| ~ spl15_75 ),
inference(avatar_split_clause,[],[f1158,f1056,f96,f959,f652]) ).
thf(f1158,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ~ spl15_5
| ~ spl15_75 ),
inference(trivial_inequality_removal,[],[f1157]) ).
thf(f1157,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( $false = $true )
| ~ spl15_5
| ~ spl15_75 ),
inference(forward_demodulation,[],[f1047,f1058]) ).
thf(f1156,plain,
( spl15_50
| spl15_76
| spl15_39
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f1065,f96,f639,f1068,f850]) ).
thf(f1065,plain,
( ( sK28 = $false )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1061]) ).
thf(f1061,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( sK28 = $false )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f1060]) ).
thf(f1155,plain,
( spl15_53
| spl15_39
| ~ spl15_5
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f1154,f900,f96,f639,f896]) ).
thf(f1154,plain,
( ( sK21 = $false )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_5
| ~ spl15_54 ),
inference(trivial_inequality_removal,[],[f1153]) ).
thf(f1153,plain,
( ( $false = $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( sK21 = $false )
| ~ spl15_5
| ~ spl15_54 ),
inference(forward_demodulation,[],[f893,f902]) ).
thf(f1152,plain,
( ~ spl15_41
| ~ spl15_42 ),
inference(avatar_contradiction_clause,[],[f1151]) ).
thf(f1151,plain,
( $false
| ~ spl15_41
| ~ spl15_42 ),
inference(trivial_inequality_removal,[],[f1150]) ).
thf(f1150,plain,
( ( $false = $true )
| ~ spl15_41
| ~ spl15_42 ),
inference(forward_demodulation,[],[f649,f654]) ).
thf(f654,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ~ spl15_42 ),
inference(avatar_component_clause,[],[f652]) ).
thf(f649,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_41 ),
inference(avatar_component_clause,[],[f647]) ).
thf(f1149,plain,
( ~ spl15_5
| ~ spl15_47
| ~ spl15_52
| ~ spl15_76 ),
inference(avatar_contradiction_clause,[],[f1148]) ).
thf(f1148,plain,
( $false
| ~ spl15_5
| ~ spl15_47
| ~ spl15_52
| ~ spl15_76 ),
inference(trivial_inequality_removal,[],[f1147]) ).
thf(f1147,plain,
( ( $false = $true )
| ~ spl15_5
| ~ spl15_47
| ~ spl15_52
| ~ spl15_76 ),
inference(backward_demodulation,[],[f1075,f1070]) ).
thf(f1075,plain,
( ( sK28 = $true )
| ~ spl15_5
| ~ spl15_47
| ~ spl15_52 ),
inference(trivial_inequality_removal,[],[f1074]) ).
thf(f1074,plain,
( ( $false = $true )
| ( sK28 = $true )
| ~ spl15_5
| ~ spl15_47
| ~ spl15_52 ),
inference(forward_demodulation,[],[f1073,f676]) ).
thf(f1073,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK28 = $true )
| ~ spl15_5
| ~ spl15_52 ),
inference(trivial_inequality_removal,[],[f1072]) ).
thf(f1072,plain,
( ( sK28 = $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ~ spl15_5
| ~ spl15_52 ),
inference(forward_demodulation,[],[f1063,f861]) ).
thf(f1063,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK28 = $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1062]) ).
thf(f1112,plain,
( ~ spl15_39
| ~ spl15_43 ),
inference(avatar_contradiction_clause,[],[f1111]) ).
thf(f1111,plain,
( $false
| ~ spl15_39
| ~ spl15_43 ),
inference(trivial_inequality_removal,[],[f1110]) ).
thf(f1110,plain,
( ( $false = $true )
| ~ spl15_39
| ~ spl15_43 ),
inference(backward_demodulation,[],[f641,f658]) ).
thf(f658,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ~ spl15_43 ),
inference(avatar_component_clause,[],[f656]) ).
thf(f656,plain,
( spl15_43
<=> ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).
thf(f641,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_39 ),
inference(avatar_component_clause,[],[f639]) ).
thf(f1071,plain,
( spl15_76
| spl15_43
| spl15_64
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f1066,f96,f963,f656,f1068]) ).
thf(f1066,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( sK28 = $false )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1061]) ).
thf(f1059,plain,
( spl15_75
| spl15_48
| spl15_69
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f1045,f96,f997,f678,f1056]) ).
thf(f1045,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( sK27 = $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1043]) ).
thf(f1054,plain,
( spl15_74
| spl15_61
| ~ spl15_5
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f1049,f652,f96,f950,f1051]) ).
thf(f1049,plain,
( ( sK27 = $false )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_5
| ~ spl15_42 ),
inference(trivial_inequality_removal,[],[f1048]) ).
thf(f1048,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = $true )
| ( sK27 = $false )
| ~ spl15_5
| ~ spl15_42 ),
inference(forward_demodulation,[],[f1046,f654]) ).
thf(f1046,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( sK27 = $false )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1042]) ).
thf(f1040,plain,
( spl15_66
| spl15_73
| ~ spl15_5
| ~ spl15_47 ),
inference(avatar_split_clause,[],[f1035,f674,f96,f1037,f974]) ).
thf(f1035,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK26 = $true )
| ~ spl15_5
| ~ spl15_47 ),
inference(trivial_inequality_removal,[],[f1034]) ).
thf(f1034,plain,
( ( $false = $true )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK26 = $true )
| ~ spl15_5
| ~ spl15_47 ),
inference(forward_demodulation,[],[f1025,f676]) ).
thf(f1033,plain,
( spl15_43
| spl15_63
| spl15_72
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f1028,f96,f1030,f959,f656]) ).
thf(f1028,plain,
( ( sK26 = $false )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1023]) ).
thf(f1021,plain,
( spl15_55
| spl15_71
| ~ spl15_5
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f1016,f859,f96,f1018,f907]) ).
thf(f1016,plain,
( ( sK25 = $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_52 ),
inference(trivial_inequality_removal,[],[f1015]) ).
thf(f1015,plain,
( ( $false = $true )
| ( sK25 = $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_52 ),
inference(forward_demodulation,[],[f1004,f861]) ).
thf(f1004,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK25 = $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f1003]) ).
thf(f1000,plain,
( spl15_69
| spl15_60
| spl15_68
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f982,f96,f992,f938,f997]) ).
thf(f982,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( sK24 = $true )
| ( $false
= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f980]) ).
thf(f980,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK24 = $true )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f978]) ).
thf(f978,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK24 )
!= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK24 ) )
| ~ spl15_5 ),
inference(negative_extensionality,[],[f756]) ).
thf(f756,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f747,f98]) ).
thf(f747,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f746]) ).
thf(f746,plain,
( ( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f732]) ).
thf(f732,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true ) ),
inference(primitive_instantiation,[],[f42]) ).
thf(f42,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK4 @ X0 ) @ ( sK5 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f995,plain,
( spl15_55
| spl15_68
| spl15_66
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f981,f96,f974,f992,f907]) ).
thf(f981,plain,
( ( sK24 = $true )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f980]) ).
thf(f990,plain,
( spl15_54
| spl15_67
| spl15_63
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f984,f96,f959,f986,f900]) ).
thf(f984,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( $false = sK24 )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f979]) ).
thf(f979,plain,
( ( $false = sK24 )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f978]) ).
thf(f989,plain,
( spl15_57
| spl15_61
| spl15_67
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f983,f96,f986,f950,f925]) ).
thf(f983,plain,
( ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK24 )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f979]) ).
thf(f977,plain,
( spl15_65
| spl15_66
| ~ spl15_5
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f968,f859,f96,f974,f970]) ).
thf(f968,plain,
( ( sK23 = $true )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_52 ),
inference(trivial_inequality_removal,[],[f967]) ).
thf(f967,plain,
( ( $false = $true )
| ( sK23 = $true )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5
| ~ spl15_52 ),
inference(forward_demodulation,[],[f945,f861]) ).
thf(f945,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK23 = $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f944]) ).
thf(f966,plain,
( spl15_63
| spl15_62
| spl15_64
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f948,f96,f963,f954,f959]) ).
thf(f948,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( sK23 = $false )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f943]) ).
thf(f943,plain,
( ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( sK23 = $false )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f942]) ).
thf(f957,plain,
( spl15_61
| spl15_62
| spl15_50
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f947,f96,f850,f954,f950]) ).
thf(f947,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( sK23 = $false )
| ( ( sK5
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f943]) ).
thf(f941,plain,
( spl15_59
| spl15_48
| spl15_60
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f919,f96,f938,f678,f934]) ).
thf(f919,plain,
( ( sK22 = $true )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( $false
= ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f917]) ).
thf(f932,plain,
( spl15_57
| spl15_58
| ~ spl15_5
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f923,f652,f96,f929,f925]) ).
thf(f923,plain,
( ( $false = sK22 )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_5
| ~ spl15_42 ),
inference(trivial_inequality_removal,[],[f922]) ).
thf(f922,plain,
( ( $false = sK22 )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = $true )
| ~ spl15_5
| ~ spl15_42 ),
inference(forward_demodulation,[],[f920,f654]) ).
thf(f903,plain,
( spl15_43
| spl15_53
| spl15_54
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f894,f96,f900,f896,f656]) ).
thf(f894,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( ( sK4
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( sK21 = $false )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f889]) ).
thf(f862,plain,
( spl15_51
| spl15_48
| spl15_52
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f840,f96,f859,f678,f855]) ).
thf(f840,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( sK20 = $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f838]) ).
thf(f853,plain,
( spl15_49
| spl15_50
| ~ spl15_5
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f844,f652,f96,f850,f846]) ).
thf(f844,plain,
( ( $false = sK20 )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_5
| ~ spl15_42 ),
inference(trivial_inequality_removal,[],[f843]) ).
thf(f843,plain,
( ( $false = sK20 )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = $true )
| ~ spl15_5
| ~ spl15_42 ),
inference(forward_demodulation,[],[f841,f654]) ).
thf(f784,plain,
( ~ spl15_46
| ~ spl15_47 ),
inference(avatar_contradiction_clause,[],[f783]) ).
thf(f783,plain,
( $false
| ~ spl15_46
| ~ spl15_47 ),
inference(trivial_inequality_removal,[],[f782]) ).
thf(f782,plain,
( ( $false = $true )
| ~ spl15_46
| ~ spl15_47 ),
inference(backward_demodulation,[],[f671,f676]) ).
thf(f671,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_46 ),
inference(avatar_component_clause,[],[f669]) ).
thf(f681,plain,
( spl15_45
| spl15_47
| spl15_48
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f635,f96,f678,f674,f665]) ).
thf(f635,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $false )
| ( sK19 = $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f633]) ).
thf(f633,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK19 = $true )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f631]) ).
thf(f631,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK19 )
!= ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK19 ) )
| ~ spl15_5 ),
inference(negative_extensionality,[],[f575]) ).
thf(f575,plain,
( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f552,f98]) ).
thf(f552,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f551]) ).
thf(f551,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true )
| ( ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f545]) ).
thf(f545,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= $true )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(primitive_instantiation,[],[f25]) ).
thf(f25,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK7 @ X0 ) @ ( sK9 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f672,plain,
( spl15_44
| spl15_45
| spl15_46
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f634,f96,f669,f665,f661]) ).
thf(f634,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK19 = $true )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f633]) ).
thf(f659,plain,
( spl15_42
| spl15_40
| spl15_43
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f637,f96,f656,f643,f652]) ).
thf(f637,plain,
( ( $false = sK19 )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $false )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f632]) ).
thf(f632,plain,
( ( $false = sK19 )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_5 ),
inference(cases_simplifying,[],[f631]) ).
thf(f650,plain,
( spl15_39
| spl15_40
| spl15_41
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f636,f96,f647,f643,f639]) ).
thf(f636,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK19 )
| ( ( sK9
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_5 ),
inference(binary_proxy_clausification,[],[f632]) ).
thf(f367,plain,
( spl15_10
| ~ spl15_4
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f366,f278,f92,f142]) ).
thf(f142,plain,
( spl15_10
<=> ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
thf(f92,plain,
( spl15_4
<=> ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
thf(f278,plain,
( spl15_15
<=> ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
thf(f366,plain,
( ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ~ spl15_4
| ~ spl15_15 ),
inference(forward_demodulation,[],[f94,f280]) ).
thf(f280,plain,
( ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f278]) ).
thf(f94,plain,
( ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f354,plain,
( ~ spl15_6
| spl15_5
| spl15_15 ),
inference(avatar_split_clause,[],[f328,f278,f96,f100]) ).
thf(f100,plain,
( spl15_6
<=> ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
thf(f328,plain,
( ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f327]) ).
thf(f327,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ( ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f326]) ).
thf(f326,plain,
( ( ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ( ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f288]) ).
thf(f288,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(primitive_instantiation,[],[f52]) ).
thf(f52,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK12 @ X0 ) @ ( sK13 @ X0 ) )
= $true )
| ( ( sP0 @ X0 )
= $true )
| ( ( X0 @ ( sK11 @ X0 ) @ ( sK10 @ X0 ) )
!= $true ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( sP0 @ X0 )
= $true )
| ( ( ( X0 @ ( sK11 @ X0 ) @ ( sK10 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK10 @ X0 ) @ ( sK11 @ X0 ) )
= $true ) )
| ( ( ( sK14 @ X0 @ ( sK12 @ X0 ) )
!= $true )
& ( ( sK14 @ X0 @ ( sK13 @ X0 ) )
= $true )
& ( ( X0 @ ( sK12 @ X0 ) @ ( sK13 @ X0 ) )
= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14])],[f15,f17,f16]) ).
thf(f16,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X1: $o > $o,X2: $o > $o] :
( ( ( X0 @ X2 @ X1 )
!= $true )
& ( ( X0 @ X1 @ X2 )
= $true ) )
=> ( ( ( X0 @ ( sK11 @ X0 ) @ ( sK10 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK10 @ X0 ) @ ( sK11 @ X0 ) )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f17,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X3: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
( ( ( X5 @ X3 )
!= $true )
& ( ( X5 @ X4 )
= $true )
& ( ( X0 @ X3 @ X4 )
= $true ) )
=> ( ( ( sK14 @ X0 @ ( sK12 @ X0 ) )
!= $true )
& ( ( sK14 @ X0 @ ( sK13 @ X0 ) )
= $true )
& ( ( X0 @ ( sK12 @ X0 ) @ ( sK13 @ X0 ) )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f15,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( sP0 @ X0 )
= $true )
| ? [X1: $o > $o,X2: $o > $o] :
( ( ( X0 @ X2 @ X1 )
!= $true )
& ( ( X0 @ X1 @ X2 )
= $true ) )
| ? [X3: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
( ( ( X5 @ X3 )
!= $true )
& ( ( X5 @ X4 )
= $true )
& ( ( X0 @ X3 @ X4 )
= $true ) ) ),
inference(rectify,[],[f10]) ).
thf(f10,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( sP0 @ X0 )
= $true )
| ? [X4: $o > $o,X5: $o > $o] :
( ( ( X0 @ X5 @ X4 )
!= $true )
& ( ( X0 @ X4 @ X5 )
= $true ) )
| ? [X2: $o > $o,X3: $o > $o,X1: ( $o > $o ) > $o] :
( ( ( X1 @ X2 )
!= $true )
& ( ( X1 @ X3 )
= $true )
& ( ( X0 @ X2 @ X3 )
= $true ) ) ),
inference(definition_folding,[],[f8,f9]) ).
thf(f8,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X8: $o > $o,X14: ( $o > $o ) > $o,X13: ( $o > $o ) > $o,X10: $o > $o,X12: $o > $o,X7: ( $o > $o ) > $o,X11: $o > $o,X6: ( $o > $o ) > $o,X9: $o > $o] :
( ( ( X0 @ X11 @ X8 )
!= $true )
& ( ( X14 @ X12 )
!= $true )
& ( ( X0 @ X12 @ X9 )
!= $true )
& ( ( X0 @ X11 @ X12 )
!= $true )
& ( ( X7 @ X11 )
!= $true )
& ( ( X0 @ X10 @ X8 )
!= $true )
& ( ( X0 @ X10 @ X12 )
!= $true )
& ( ( X14 @ X8 )
= $true )
& ( ( X0 @ X12 @ X8 )
!= $true )
& ( ( X0 @ X10 @ X9 )
!= $true )
& ( ( X14 @ X10 )
!= $true )
& ( ( X6 @ X9 )
= $true )
& ( ( X13 @ X11 )
!= $true )
& ( ( X7 @ X12 )
!= $true )
& ( ( X0 @ X11 @ X10 )
!= $true )
& ( ( X6 @ X12 )
!= $true )
& ( ( X13 @ X12 )
= $true )
& ( ( X14 @ X11 )
!= $true )
& ( ( X0 @ X8 @ X9 )
!= $true )
& ( ( X6 @ X8 )
!= $true )
& ( ( X13 @ X8 )
!= $true )
& ( ( X6 @ X10 )
!= $true )
& ( ( X7 @ X9 )
!= $true )
& ( ( X0 @ X11 @ X9 )
!= $true )
& ( ( X6 @ X11 )
!= $true )
& ( ( X7 @ X8 )
!= $true )
& ( ( X14 @ X9 )
!= $true )
& ( ( X13 @ X10 )
!= $true )
& ( ( X7 @ X10 )
= $true )
& ( ( X13 @ X9 )
!= $true ) )
| ? [X4: $o > $o,X5: $o > $o] :
( ( ( X0 @ X5 @ X4 )
!= $true )
& ( ( X0 @ X4 @ X5 )
= $true ) )
| ? [X2: $o > $o,X3: $o > $o,X1: ( $o > $o ) > $o] :
( ( ( X1 @ X2 )
!= $true )
& ( ( X1 @ X3 )
= $true )
& ( ( X0 @ X2 @ X3 )
= $true ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X7: ( $o > $o ) > $o,X10: $o > $o,X13: ( $o > $o ) > $o,X11: $o > $o,X12: $o > $o,X9: $o > $o,X6: ( $o > $o ) > $o,X8: $o > $o,X14: ( $o > $o ) > $o] :
( ( ( X0 @ X10 @ X8 )
!= $true )
& ( ( X0 @ X11 @ X8 )
!= $true )
& ( ( X0 @ X8 @ X9 )
!= $true )
& ( ( X0 @ X12 @ X9 )
!= $true )
& ( ( X0 @ X11 @ X12 )
!= $true )
& ( ( X0 @ X10 @ X9 )
!= $true )
& ( ( X0 @ X11 @ X9 )
!= $true )
& ( ( X0 @ X12 @ X8 )
!= $true )
& ( ( X0 @ X10 @ X12 )
!= $true )
& ( ( X0 @ X11 @ X10 )
!= $true )
& ( ( X7 @ X10 )
= $true )
& ( ( X13 @ X11 )
!= $true )
& ( ( X6 @ X12 )
!= $true )
& ( ( X14 @ X10 )
!= $true )
& ( ( X7 @ X11 )
!= $true )
& ( ( X7 @ X9 )
!= $true )
& ( ( X13 @ X12 )
= $true )
& ( ( X13 @ X8 )
!= $true )
& ( ( X6 @ X10 )
!= $true )
& ( ( X6 @ X9 )
= $true )
& ( ( X13 @ X9 )
!= $true )
& ( ( X14 @ X11 )
!= $true )
& ( ( X6 @ X11 )
!= $true )
& ( ( X14 @ X12 )
!= $true )
& ( ( X7 @ X12 )
!= $true )
& ( ( X6 @ X8 )
!= $true )
& ( ( X7 @ X8 )
!= $true )
& ( ( X14 @ X8 )
= $true )
& ( ( X14 @ X9 )
!= $true )
& ( ( X13 @ X10 )
!= $true ) )
| ? [X3: $o > $o,X2: $o > $o,X1: ( $o > $o ) > $o] :
( ( ( X0 @ X2 @ X3 )
= $true )
& ( ( X1 @ X2 )
!= $true )
& ( ( X1 @ X3 )
= $true ) )
| ? [X4: $o > $o,X5: $o > $o] :
( ( ( X0 @ X5 @ X4 )
!= $true )
& ( ( X0 @ X4 @ X5 )
= $true ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ? [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X7: ( $o > $o ) > $o,X10: $o > $o,X13: ( $o > $o ) > $o,X11: $o > $o,X12: $o > $o,X9: $o > $o,X6: ( $o > $o ) > $o,X8: $o > $o,X14: ( $o > $o ) > $o] :
( ( ( ( X7 @ X10 )
= $true )
& ( ( X13 @ X11 )
!= $true )
& ( ( X6 @ X12 )
!= $true )
& ( ( X14 @ X10 )
!= $true )
& ( ( X7 @ X11 )
!= $true )
& ( ( X7 @ X9 )
!= $true )
& ( ( X13 @ X12 )
= $true )
& ( ( X13 @ X8 )
!= $true )
& ( ( X6 @ X10 )
!= $true )
& ( ( X6 @ X9 )
= $true )
& ( ( X13 @ X9 )
!= $true )
& ( ( X14 @ X11 )
!= $true )
& ( ( X6 @ X11 )
!= $true )
& ( ( X14 @ X12 )
!= $true )
& ( ( X7 @ X12 )
!= $true )
& ( ( X6 @ X8 )
!= $true )
& ( ( X7 @ X8 )
!= $true )
& ( ( X14 @ X8 )
= $true )
& ( ( X14 @ X9 )
!= $true )
& ( ( X13 @ X10 )
!= $true ) )
=> ( ( ( X0 @ X10 @ X8 )
= $true )
| ( ( X0 @ X11 @ X8 )
= $true )
| ( ( X0 @ X8 @ X9 )
= $true )
| ( ( X0 @ X12 @ X9 )
= $true )
| ( ( X0 @ X11 @ X12 )
= $true )
| ( ( X0 @ X10 @ X9 )
= $true )
| ( ( X0 @ X11 @ X9 )
= $true )
| ( ( X0 @ X12 @ X8 )
= $true )
| ( ( X0 @ X10 @ X12 )
= $true )
| ( ( X0 @ X11 @ X10 )
= $true ) ) )
& ! [X3: $o > $o,X2: $o > $o,X1: ( $o > $o ) > $o] :
( ( ( ( X1 @ X2 )
!= $true )
& ( ( X1 @ X3 )
= $true ) )
=> ( ( X0 @ X2 @ X3 )
!= $true ) )
& ! [X5: $o > $o,X4: $o > $o] :
( ( ( X0 @ X4 @ X5 )
= $true )
=> ( ( X0 @ X5 @ X4 )
= $true ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
~ ? [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X1: ( $o > $o ) > $o,X2: $o > $o,X3: $o > $o] :
( ( ( ( X1 @ X2 )
!= $true )
& ( ( X1 @ X3 )
= $true ) )
=> ( ( X0 @ X2 @ X3 )
!= $true ) )
& ! [X5: $o > $o,X4: $o > $o] :
( ( ( X0 @ X4 @ X5 )
= $true )
=> ( ( X0 @ X5 @ X4 )
= $true ) )
& ! [X6: ( $o > $o ) > $o,X7: ( $o > $o ) > $o,X8: $o > $o,X9: $o > $o,X10: $o > $o,X11: $o > $o,X12: $o > $o,X13: ( $o > $o ) > $o,X14: ( $o > $o ) > $o] :
( ( ( ( X7 @ X8 )
!= $true )
& ( ( X14 @ X11 )
!= $true )
& ( ( X6 @ X10 )
!= $true )
& ( ( X7 @ X11 )
!= $true )
& ( ( X13 @ X10 )
!= $true )
& ( ( X7 @ X9 )
!= $true )
& ( ( X13 @ X8 )
!= $true )
& ( ( X7 @ X12 )
!= $true )
& ( ( X14 @ X9 )
!= $true )
& ( ( X6 @ X12 )
!= $true )
& ( ( X14 @ X12 )
!= $true )
& ( ( X7 @ X10 )
= $true )
& ( ( X6 @ X11 )
!= $true )
& ( ( X6 @ X8 )
!= $true )
& ( ( X6 @ X9 )
= $true )
& ( ( X13 @ X12 )
= $true )
& ( ( X13 @ X11 )
!= $true )
& ( ( X14 @ X10 )
!= $true )
& ( ( X13 @ X9 )
!= $true )
& ( ( X14 @ X8 )
= $true ) )
=> ( ( ( X0 @ X10 @ X8 )
= $true )
| ( ( X0 @ X11 @ X8 )
= $true )
| ( ( X0 @ X8 @ X9 )
= $true )
| ( ( X0 @ X12 @ X9 )
= $true )
| ( ( X0 @ X11 @ X12 )
= $true )
| ( ( X0 @ X10 @ X9 )
= $true )
| ( ( X0 @ X11 @ X9 )
= $true )
| ( ( X0 @ X12 @ X8 )
= $true )
| ( ( X0 @ X10 @ X12 )
= $true )
| ( ( X0 @ X11 @ X10 )
= $true ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ? [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X1: ( $o > $o ) > $o,X2: $o > $o,X3: $o > $o] :
( ( ~ ( X1 @ X2 )
& ( X1 @ X3 ) )
=> ~ ( X0 @ X2 @ X3 ) )
& ! [X4: $o > $o,X5: $o > $o] :
( ( X0 @ X4 @ X5 )
=> ( X0 @ X5 @ X4 ) )
& ! [X6: ( $o > $o ) > $o,X7: ( $o > $o ) > $o,X8: $o > $o,X9: $o > $o,X10: $o > $o,X11: $o > $o,X12: $o > $o,X13: ( $o > $o ) > $o,X14: ( $o > $o ) > $o] :
( ( ~ ( X7 @ X8 )
& ~ ( X14 @ X11 )
& ~ ( X6 @ X10 )
& ~ ( X7 @ X11 )
& ~ ( X13 @ X10 )
& ~ ( X7 @ X9 )
& ~ ( X13 @ X8 )
& ~ ( X7 @ X12 )
& ~ ( X14 @ X9 )
& ~ ( X6 @ X12 )
& ~ ( X14 @ X12 )
& ( X7 @ X10 )
& ~ ( X6 @ X11 )
& ~ ( X6 @ X8 )
& ( X6 @ X9 )
& ( X13 @ X12 )
& ~ ( X13 @ X11 )
& ~ ( X14 @ X10 )
& ~ ( X13 @ X9 )
& ( X14 @ X8 ) )
=> ( ( X0 @ X12 @ X8 )
| ( X0 @ X11 @ X8 )
| ( X0 @ X10 @ X12 )
| ( X0 @ X11 @ X12 )
| ( X0 @ X11 @ X9 )
| ( X0 @ X8 @ X9 )
| ( X0 @ X10 @ X9 )
| ( X0 @ X10 @ X8 )
| ( X0 @ X11 @ X10 )
| ( X0 @ X12 @ X9 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X5: ( $o > $o ) > $o,X4: $o > $o,X3: $o > $o] :
( ( ~ ( X5 @ X4 )
& ( X5 @ X3 ) )
=> ~ ( X0 @ X4 @ X3 ) )
& ! [X1: $o > $o,X2: $o > $o] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) )
& ! [X5: ( $o > $o ) > $o,X11: ( $o > $o ) > $o,X4: $o > $o,X3: $o > $o,X7: $o > $o,X8: $o > $o,X6: $o > $o,X10: ( $o > $o ) > $o,X9: ( $o > $o ) > $o] :
( ( ~ ( X11 @ X4 )
& ~ ( X9 @ X8 )
& ~ ( X5 @ X7 )
& ~ ( X11 @ X8 )
& ~ ( X10 @ X7 )
& ~ ( X11 @ X3 )
& ~ ( X10 @ X4 )
& ~ ( X11 @ X6 )
& ~ ( X9 @ X3 )
& ~ ( X5 @ X6 )
& ~ ( X9 @ X6 )
& ( X11 @ X7 )
& ~ ( X5 @ X8 )
& ~ ( X5 @ X4 )
& ( X5 @ X3 )
& ( X10 @ X6 )
& ~ ( X10 @ X8 )
& ~ ( X9 @ X7 )
& ~ ( X10 @ X3 )
& ( X9 @ X4 ) )
=> ( ( X0 @ X6 @ X4 )
| ( X0 @ X8 @ X4 )
| ( X0 @ X7 @ X6 )
| ( X0 @ X8 @ X6 )
| ( X0 @ X8 @ X3 )
| ( X0 @ X4 @ X3 )
| ( X0 @ X7 @ X3 )
| ( X0 @ X7 @ X4 )
| ( X0 @ X8 @ X7 )
| ( X0 @ X6 @ X3 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
? [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X5: ( $o > $o ) > $o,X4: $o > $o,X3: $o > $o] :
( ( ~ ( X5 @ X4 )
& ( X5 @ X3 ) )
=> ~ ( X0 @ X4 @ X3 ) )
& ! [X1: $o > $o,X2: $o > $o] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) )
& ! [X5: ( $o > $o ) > $o,X11: ( $o > $o ) > $o,X4: $o > $o,X3: $o > $o,X7: $o > $o,X8: $o > $o,X6: $o > $o,X10: ( $o > $o ) > $o,X9: ( $o > $o ) > $o] :
( ( ~ ( X11 @ X4 )
& ~ ( X9 @ X8 )
& ~ ( X5 @ X7 )
& ~ ( X11 @ X8 )
& ~ ( X10 @ X7 )
& ~ ( X11 @ X3 )
& ~ ( X10 @ X4 )
& ~ ( X11 @ X6 )
& ~ ( X9 @ X3 )
& ~ ( X5 @ X6 )
& ~ ( X9 @ X6 )
& ( X11 @ X7 )
& ~ ( X5 @ X8 )
& ~ ( X5 @ X4 )
& ( X5 @ X3 )
& ( X10 @ X6 )
& ~ ( X10 @ X8 )
& ~ ( X9 @ X7 )
& ~ ( X10 @ X3 )
& ( X9 @ X4 ) )
=> ( ( X0 @ X6 @ X4 )
| ( X0 @ X8 @ X4 )
| ( X0 @ X7 @ X6 )
| ( X0 @ X8 @ X6 )
| ( X0 @ X8 @ X3 )
| ( X0 @ X4 @ X3 )
| ( X0 @ X7 @ X3 )
| ( X0 @ X7 @ X4 )
| ( X0 @ X8 @ X7 )
| ( X0 @ X6 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ramsey_l_2_5_4) ).
thf(f281,plain,
( spl15_15
| spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f251,f100,f96,f278]) ).
thf(f251,plain,
( ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true ) ),
inference(equality_proxy_clausification,[],[f250]) ).
thf(f250,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ( ( ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f249]) ).
thf(f249,plain,
( ( ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f217]) ).
thf(f217,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(primitive_instantiation,[],[f49]) ).
thf(f49,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK12 @ X0 ) @ ( sK13 @ X0 ) )
= $true )
| ( ( X0 @ ( sK10 @ X0 ) @ ( sK11 @ X0 ) )
= $true )
| ( ( sP0 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f215,plain,
( ~ spl15_6
| ~ spl15_10
| spl15_5 ),
inference(avatar_split_clause,[],[f200,f96,f142,f100]) ).
thf(f200,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f199]) ).
thf(f199,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f186]) ).
thf(f186,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true ) ),
inference(primitive_instantiation,[],[f54]) ).
thf(f54,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK11 @ X0 ) @ ( sK10 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
= $true )
| ( ( sK14 @ X0 @ ( sK12 @ X0 ) )
!= $true ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f185,plain,
( ~ spl15_6
| spl15_5
| spl15_4 ),
inference(avatar_split_clause,[],[f157,f92,f96,f100]) ).
thf(f157,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f156]) ).
thf(f156,plain,
( ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f151]) ).
thf(f151,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(primitive_instantiation,[],[f53]) ).
thf(f53,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK11 @ X0 ) @ ( sK10 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
= $true )
| ( ( sK14 @ X0 @ ( sK13 @ X0 ) )
= $true ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f145,plain,
( spl15_5
| ~ spl15_10
| spl15_6 ),
inference(avatar_split_clause,[],[f127,f100,f142,f96]) ).
thf(f127,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f126]) ).
thf(f126,plain,
( ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f113]) ).
thf(f113,plain,
( ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true ) ),
inference(primitive_instantiation,[],[f51]) ).
thf(f51,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK10 @ X0 ) @ ( sK11 @ X0 ) )
= $true )
| ( ( sK14 @ X0 @ ( sK12 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f103,plain,
( spl15_4
| spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f64,f100,f96,f92]) ).
thf(f64,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(equality_proxy_clausification,[],[f63]) ).
thf(f63,plain,
( ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f55]) ).
thf(f55,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= $true )
| ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(primitive_instantiation,[],[f50]) ).
thf(f50,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK10 @ X0 ) @ ( sK11 @ X0 ) )
= $true )
| ( ( sP0 @ X0 )
= $true )
| ( ( sK14 @ X0 @ ( sK13 @ X0 ) )
= $true ) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRA030^1 : TPTP v8.2.0. Released v3.6.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 12:34:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.37 % (10929)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.37 % (10934)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)
% 0.22/0.37 % (10935)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.37 % (10936)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)
% 0.22/0.37 % (10930)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)
% 0.22/0.38 % (10936)Instruction limit reached!
% 0.22/0.38 % (10936)------------------------------
% 0.22/0.38 % (10936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (10936)Termination reason: Unknown
% 0.22/0.38 % (10936)Termination phase: Preprocessing 3
% 0.22/0.38
% 0.22/0.38 % (10936)Memory used [KB]: 1023
% 0.22/0.38 % (10936)Time elapsed: 0.003 s
% 0.22/0.38 % (10936)Instructions burned: 3 (million)
% 0.22/0.38 % (10936)------------------------------
% 0.22/0.38 % (10936)------------------------------
% 0.22/0.38 % (10930)Instruction limit reached!
% 0.22/0.38 % (10930)------------------------------
% 0.22/0.38 % (10930)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (10930)Termination reason: Unknown
% 0.22/0.38 % (10930)Termination phase: Property scanning
% 0.22/0.38
% 0.22/0.38 % (10930)Memory used [KB]: 1023
% 0.22/0.38 % (10930)Time elapsed: 0.004 s
% 0.22/0.38 % (10930)Instructions burned: 4 (million)
% 0.22/0.38 % (10930)------------------------------
% 0.22/0.38 % (10930)------------------------------
% 0.22/0.38 % (10932)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (10932)Instruction limit reached!
% 0.22/0.38 % (10932)------------------------------
% 0.22/0.38 % (10932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (10932)Termination reason: Unknown
% 0.22/0.38 % (10932)Termination phase: Naming
% 0.22/0.38
% 0.22/0.38 % (10932)Memory used [KB]: 1023
% 0.22/0.38 % (10932)Time elapsed: 0.002 s
% 0.22/0.38 % (10932)Instructions burned: 2 (million)
% 0.22/0.38 % (10932)------------------------------
% 0.22/0.38 % (10932)------------------------------
% 0.22/0.38 % (10935)Instruction limit reached!
% 0.22/0.38 % (10935)------------------------------
% 0.22/0.38 % (10935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (10935)Termination reason: Unknown
% 0.22/0.38 % (10935)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (10935)Memory used [KB]: 5628
% 0.22/0.38 % (10935)Time elapsed: 0.010 s
% 0.22/0.38 % (10935)Instructions burned: 18 (million)
% 0.22/0.38 % (10935)------------------------------
% 0.22/0.38 % (10935)------------------------------
% 0.22/0.38 % (10933)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)
% 0.22/0.38 % (10933)Instruction limit reached!
% 0.22/0.38 % (10933)------------------------------
% 0.22/0.38 % (10933)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (10933)Termination reason: Unknown
% 0.22/0.38 % (10933)Termination phase: Property scanning
% 0.22/0.38
% 0.22/0.38 % (10933)Memory used [KB]: 1023
% 0.22/0.38 % (10933)Time elapsed: 0.003 s
% 0.22/0.38 % (10933)Instructions burned: 3 (million)
% 0.22/0.38 % (10933)------------------------------
% 0.22/0.38 % (10933)------------------------------
% 0.22/0.38 % (10931)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)
% 0.22/0.39 % (10937)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)
% 0.22/0.39 % (10931)Refutation not found, incomplete strategy
% 0.22/0.39 % (10931)------------------------------
% 0.22/0.39 % (10931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (10931)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39
% 0.22/0.39
% 0.22/0.39 % (10931)Memory used [KB]: 5628
% 0.22/0.39 % (10931)Time elapsed: 0.008 s
% 0.22/0.39 % (10931)Instructions burned: 12 (million)
% 0.22/0.39 % (10931)------------------------------
% 0.22/0.39 % (10931)------------------------------
% 0.22/0.39 % (10938)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)
% 0.22/0.40 % (10939)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)
% 0.22/0.40 % (10939)Instruction limit reached!
% 0.22/0.40 % (10939)------------------------------
% 0.22/0.40 % (10939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (10939)Termination reason: Unknown
% 0.22/0.40 % (10939)Termination phase: Property scanning
% 0.22/0.40
% 0.22/0.40 % (10939)Memory used [KB]: 1023
% 0.22/0.40 % (10939)Time elapsed: 0.004 s
% 0.22/0.40 % (10939)Instructions burned: 4 (million)
% 0.22/0.40 % (10939)------------------------------
% 0.22/0.40 % (10939)------------------------------
% 0.22/0.40 % (10934)Refutation not found, incomplete strategy
% 0.22/0.40 % (10934)------------------------------
% 0.22/0.40 % (10934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (10938)Instruction limit reached!
% 0.22/0.40 % (10938)------------------------------
% 0.22/0.40 % (10938)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (10934)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40 % (10938)Termination reason: Unknown
% 0.22/0.40 % (10938)Termination phase: Saturation
% 0.22/0.40 % (10934)Memory used [KB]: 5756
% 0.22/0.40
% 0.22/0.40 % (10934)Time elapsed: 0.029 s
% 0.22/0.40 % (10934)Instructions burned: 58 (million)
% 0.22/0.40 % (10938)Memory used [KB]: 5756
% 0.22/0.40 % (10934)------------------------------
% 0.22/0.40 % (10934)------------------------------
% 0.22/0.40 % (10938)Time elapsed: 0.012 s
% 0.22/0.40 % (10938)Instructions burned: 16 (million)
% 0.22/0.40 % (10938)------------------------------
% 0.22/0.40 % (10938)------------------------------
% 0.22/0.40 % (10937)Instruction limit reached!
% 0.22/0.40 % (10937)------------------------------
% 0.22/0.40 % (10937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (10937)Termination reason: Unknown
% 0.22/0.40 % (10937)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (10937)Memory used [KB]: 5756
% 0.22/0.40 % (10937)Time elapsed: 0.016 s
% 0.22/0.40 % (10937)Instructions burned: 37 (million)
% 0.22/0.40 % (10937)------------------------------
% 0.22/0.40 % (10937)------------------------------
% 0.22/0.41 % (10940)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)
% 0.22/0.41 % (10945)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)
% 0.22/0.42 % (10946)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)
% 0.22/0.42 % (10942)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.42 % (10946)Instruction limit reached!
% 0.22/0.42 % (10946)------------------------------
% 0.22/0.42 % (10946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (10946)Termination reason: Unknown
% 0.22/0.42 % (10946)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (10946)Memory used [KB]: 1023
% 0.22/0.42 % (10946)Time elapsed: 0.002 s
% 0.22/0.42 % (10946)Instructions burned: 3 (million)
% 0.22/0.42 % (10946)------------------------------
% 0.22/0.42 % (10946)------------------------------
% 0.22/0.42 % (10941)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42 % (10945)Instruction limit reached!
% 0.22/0.42 % (10945)------------------------------
% 0.22/0.42 % (10945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (10945)Termination reason: Unknown
% 0.22/0.42 % (10945)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (10945)Memory used [KB]: 5500
% 0.22/0.42 % (10945)Time elapsed: 0.005 s
% 0.22/0.42 % (10945)Instructions burned: 8 (million)
% 0.22/0.42 % (10945)------------------------------
% 0.22/0.42 % (10945)------------------------------
% 0.22/0.42 % (10943)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)
% 0.22/0.42 % (10941)Instruction limit reached!
% 0.22/0.42 % (10941)------------------------------
% 0.22/0.42 % (10941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (10941)Termination reason: Unknown
% 0.22/0.42 % (10941)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (10941)Memory used [KB]: 1023
% 0.22/0.42 % (10941)Time elapsed: 0.005 s
% 0.22/0.42 % (10941)Instructions burned: 7 (million)
% 0.22/0.42 % (10941)------------------------------
% 0.22/0.42 % (10941)------------------------------
% 0.22/0.42 % (10943)Instruction limit reached!
% 0.22/0.42 % (10943)------------------------------
% 0.22/0.42 % (10943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (10943)Termination reason: Unknown
% 0.22/0.42 % (10943)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (10943)Memory used [KB]: 1023
% 0.22/0.42 % (10943)Time elapsed: 0.004 s
% 0.22/0.42 % (10943)Instructions burned: 3 (million)
% 0.22/0.42 % (10943)------------------------------
% 0.22/0.42 % (10943)------------------------------
% 0.22/0.42 % (10942)Instruction limit reached!
% 0.22/0.42 % (10942)------------------------------
% 0.22/0.42 % (10942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (10942)Termination reason: Unknown
% 0.22/0.42 % (10942)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (10942)Memory used [KB]: 5628
% 0.22/0.42 % (10942)Time elapsed: 0.011 s
% 0.22/0.42 % (10942)Instructions burned: 16 (million)
% 0.22/0.42 % (10942)------------------------------
% 0.22/0.42 % (10942)------------------------------
% 0.22/0.43 % (10944)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)
% 0.22/0.43 % (10929)Instruction limit reached!
% 0.22/0.43 % (10929)------------------------------
% 0.22/0.43 % (10929)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (10929)Termination reason: Unknown
% 0.22/0.43 % (10929)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (10929)Memory used [KB]: 6780
% 0.22/0.43 % (10929)Time elapsed: 0.054 s
% 0.22/0.43 % (10929)Instructions burned: 183 (million)
% 0.22/0.43 % (10929)------------------------------
% 0.22/0.43 % (10929)------------------------------
% 0.22/0.43 % (10944)Instruction limit reached!
% 0.22/0.43 % (10944)------------------------------
% 0.22/0.43 % (10944)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (10944)Termination reason: Unknown
% 0.22/0.43 % (10944)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (10944)Memory used [KB]: 1023
% 0.22/0.43 % (10944)Time elapsed: 0.004 s
% 0.22/0.43 % (10947)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.43 % (10944)Instructions burned: 4 (million)
% 0.22/0.43 % (10944)------------------------------
% 0.22/0.43 % (10944)------------------------------
% 0.22/0.43 % (10947)Instruction limit reached!
% 0.22/0.43 % (10947)------------------------------
% 0.22/0.43 % (10947)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (10947)Termination reason: Unknown
% 0.22/0.43 % (10947)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (10947)Memory used [KB]: 1023
% 0.22/0.43 % (10947)Time elapsed: 0.004 s
% 0.22/0.43 % (10947)Instructions burned: 5 (million)
% 0.22/0.43 % (10947)------------------------------
% 0.22/0.43 % (10947)------------------------------
% 0.22/0.43 % (10949)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.43 % (10948)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)
% 0.22/0.44 % (10952)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)
% 0.22/0.44 % (10948)Refutation not found, incomplete strategy
% 0.22/0.44 % (10948)------------------------------
% 0.22/0.44 % (10948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (10948)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44
% 0.22/0.44 % (10948)Memory used [KB]: 5628
% 0.22/0.44 % (10948)Time elapsed: 0.008 s
% 0.22/0.44 % (10948)Instructions burned: 14 (million)
% 0.22/0.44 % (10948)------------------------------
% 0.22/0.44 % (10948)------------------------------
% 0.22/0.44 % (10950)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.44 % (10952)Instruction limit reached!
% 0.22/0.44 % (10952)------------------------------
% 0.22/0.44 % (10952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (10952)Termination reason: Unknown
% 0.22/0.44 % (10952)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (10952)Memory used [KB]: 5628
% 0.22/0.44 % (10952)Time elapsed: 0.008 s
% 0.22/0.44 % (10952)Instructions burned: 21 (million)
% 0.22/0.44 % (10952)------------------------------
% 0.22/0.44 % (10952)------------------------------
% 0.22/0.44 % (10953)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.45 % (10953)Instruction limit reached!
% 0.22/0.45 % (10953)------------------------------
% 0.22/0.45 % (10953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (10953)Termination reason: Unknown
% 0.22/0.45 % (10953)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (10950)Instruction limit reached!
% 0.22/0.45 % (10950)------------------------------
% 0.22/0.45 % (10950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (10953)Memory used [KB]: 5500
% 0.22/0.45 % (10953)Time elapsed: 0.004 s
% 0.22/0.45 % (10953)Instructions burned: 5 (million)
% 0.22/0.45 % (10953)------------------------------
% 0.22/0.45 % (10953)------------------------------
% 0.22/0.45 % (10950)Termination reason: Unknown
% 0.22/0.45 % (10950)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (10950)Memory used [KB]: 5500
% 0.22/0.45 % (10950)Time elapsed: 0.005 s
% 0.22/0.45 % (10950)Instructions burned: 7 (million)
% 0.22/0.45 % (10950)------------------------------
% 0.22/0.45 % (10950)------------------------------
% 0.22/0.45 % (10956)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.22/0.45 % (10951)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)
% 0.22/0.45 % (10955)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.46 % (10954)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)
% 0.22/0.46 % (10954)Instruction limit reached!
% 0.22/0.46 % (10954)------------------------------
% 0.22/0.46 % (10954)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (10954)Termination reason: Unknown
% 0.22/0.46 % (10954)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (10954)Memory used [KB]: 5500
% 0.22/0.46 % (10954)Time elapsed: 0.005 s
% 0.22/0.46 % (10954)Instructions burned: 8 (million)
% 0.22/0.46 % (10954)------------------------------
% 0.22/0.46 % (10954)------------------------------
% 0.22/0.46 % (10957)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.22/0.46 % (10958)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.22/0.47 % (10957)Instruction limit reached!
% 0.22/0.47 % (10957)------------------------------
% 0.22/0.47 % (10957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (10957)Termination reason: Unknown
% 0.22/0.47 % (10957)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (10957)Memory used [KB]: 5500
% 0.22/0.47 % (10957)Time elapsed: 0.009 s
% 0.22/0.47 % (10957)Instructions burned: 20 (million)
% 0.22/0.47 % (10957)------------------------------
% 0.22/0.47 % (10957)------------------------------
% 0.22/0.48 % (10960)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.48 % (10960)Instruction limit reached!
% 0.22/0.48 % (10960)------------------------------
% 0.22/0.48 % (10960)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (10960)Termination reason: Unknown
% 0.22/0.48 % (10960)Termination phase: Preprocessing 3
% 0.22/0.48
% 0.22/0.48 % (10960)Memory used [KB]: 1023
% 0.22/0.48 % (10960)Time elapsed: 0.002 s
% 0.22/0.48 % (10960)Instructions burned: 3 (million)
% 0.22/0.48 % (10960)------------------------------
% 0.22/0.48 % (10960)------------------------------
% 0.22/0.48 % (10959)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.22/0.48 % (10961)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.49 % (10959)Instruction limit reached!
% 0.22/0.49 % (10959)------------------------------
% 0.22/0.49 % (10959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (10959)Termination reason: Unknown
% 0.22/0.49 % (10959)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (10959)Memory used [KB]: 5628
% 0.22/0.49 % (10959)Time elapsed: 0.040 s
% 0.22/0.49 % (10959)Instructions burned: 18 (million)
% 0.22/0.49 % (10959)------------------------------
% 0.22/0.49 % (10959)------------------------------
% 0.22/0.50 % (10961)Instruction limit reached!
% 0.22/0.50 % (10961)------------------------------
% 0.22/0.50 % (10961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (10961)Termination reason: Unknown
% 0.22/0.50 % (10961)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (10961)Memory used [KB]: 5628
% 0.22/0.50 % (10961)Time elapsed: 0.036 s
% 0.22/0.50 % (10961)Instructions burned: 30 (million)
% 0.22/0.50 % (10961)------------------------------
% 0.22/0.50 % (10961)------------------------------
% 0.22/0.50 % (10962)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.22/0.51 % (10963)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.22/0.52 % (10963)Refutation not found, incomplete strategy
% 0.22/0.52 % (10963)------------------------------
% 0.22/0.52 % (10963)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (10963)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.52
% 0.22/0.52
% 0.22/0.52 % (10963)Memory used [KB]: 5628
% 0.22/0.52 % (10963)Time elapsed: 0.033 s
% 0.22/0.52 % (10963)Instructions burned: 14 (million)
% 0.22/0.52 % (10963)------------------------------
% 0.22/0.52 % (10963)------------------------------
% 0.22/0.52 % (10958)Refutation not found, incomplete strategy
% 0.22/0.52 % (10958)------------------------------
% 0.22/0.52 % (10958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (10958)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.52
% 0.22/0.52
% 0.22/0.52 % (10958)Memory used [KB]: 6140
% 0.22/0.52 % (10958)Time elapsed: 0.084 s
% 0.22/0.52 % (10958)Instructions burned: 122 (million)
% 0.22/0.52 % (10958)------------------------------
% 0.22/0.52 % (10958)------------------------------
% 0.22/0.54 % (10965)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 1.40/0.54 % (10964)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.40/0.54 % (10964)Instruction limit reached!
% 1.40/0.54 % (10964)------------------------------
% 1.40/0.54 % (10964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.54 % (10964)Termination reason: Unknown
% 1.40/0.54 % (10964)Termination phase: Property scanning
% 1.40/0.54
% 1.40/0.54 % (10964)Memory used [KB]: 1023
% 1.40/0.54 % (10964)Time elapsed: 0.003 s
% 1.40/0.54 % (10964)Instructions burned: 4 (million)
% 1.40/0.54 % (10964)------------------------------
% 1.40/0.54 % (10964)------------------------------
% 1.40/0.54 % (10962)Instruction limit reached!
% 1.40/0.54 % (10962)------------------------------
% 1.40/0.54 % (10962)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.54 % (10962)Termination reason: Unknown
% 1.40/0.54 % (10962)Termination phase: Saturation
% 1.40/0.54
% 1.40/0.54 % (10962)Memory used [KB]: 6012
% 1.40/0.54 % (10962)Time elapsed: 0.067 s
% 1.40/0.54 % (10962)Instructions burned: 129 (million)
% 1.40/0.54 % (10962)------------------------------
% 1.40/0.54 % (10962)------------------------------
% 1.40/0.55 % (10965)Instruction limit reached!
% 1.40/0.55 % (10965)------------------------------
% 1.40/0.55 % (10965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.55 % (10965)Termination reason: Unknown
% 1.40/0.55 % (10965)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (10965)Memory used [KB]: 5628
% 1.40/0.55 % (10965)Time elapsed: 0.037 s
% 1.40/0.55 % (10965)Instructions burned: 20 (million)
% 1.40/0.55 % (10965)------------------------------
% 1.40/0.55 % (10965)------------------------------
% 1.50/0.55 % (10967)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 1.50/0.55 % (10966)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 1.50/0.56 % (10967)Refutation not found, incomplete strategy
% 1.50/0.56 % (10967)------------------------------
% 1.50/0.56 % (10967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.50/0.56 % (10967)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.56
% 1.50/0.56
% 1.50/0.56 % (10967)Memory used [KB]: 5628
% 1.50/0.56 % (10967)Time elapsed: 0.032 s
% 1.50/0.56 % (10967)Instructions burned: 11 (million)
% 1.50/0.56 % (10967)------------------------------
% 1.50/0.56 % (10967)------------------------------
% 1.50/0.56 % (10968)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.50/0.58 % (10968)Instruction limit reached!
% 1.50/0.58 % (10968)------------------------------
% 1.50/0.58 % (10968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.50/0.58 % (10968)Termination reason: Unknown
% 1.50/0.58 % (10968)Termination phase: Saturation
% 1.50/0.58
% 1.50/0.58 % (10968)Memory used [KB]: 5756
% 1.50/0.58 % (10968)Time elapsed: 0.018 s
% 1.50/0.58 % (10968)Instructions burned: 41 (million)
% 1.50/0.58 % (10968)------------------------------
% 1.50/0.58 % (10968)------------------------------
% 1.50/0.58 % (10966)Instruction limit reached!
% 1.50/0.58 % (10966)------------------------------
% 1.50/0.58 % (10966)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.50/0.58 % (10966)Termination reason: Unknown
% 1.50/0.58 % (10966)Termination phase: Saturation
% 1.50/0.58
% 1.50/0.58 % (10966)Memory used [KB]: 6012
% 1.50/0.58 % (10966)Time elapsed: 0.057 s
% 1.50/0.58 % (10966)Instructions burned: 86 (million)
% 1.50/0.58 % (10966)------------------------------
% 1.50/0.58 % (10966)------------------------------
% 1.50/0.58 % (10969)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 1.50/0.59 % (10971)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 1.50/0.59 % (10970)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 1.50/0.62 % (10970)Instruction limit reached!
% 1.50/0.62 % (10970)------------------------------
% 1.50/0.62 % (10970)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.50/0.62 % (10970)Termination reason: Unknown
% 1.50/0.62 % (10970)Termination phase: Saturation
% 1.50/0.62
% 1.50/0.62 % (10970)Memory used [KB]: 5756
% 1.50/0.62 % (10970)Time elapsed: 0.026 s
% 1.50/0.62 % (10970)Instructions burned: 47 (million)
% 1.50/0.62 % (10970)------------------------------
% 1.50/0.62 % (10970)------------------------------
% 1.50/0.62 % (10955)Instruction limit reached!
% 1.50/0.62 % (10955)------------------------------
% 1.50/0.62 % (10955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.50/0.62 % (10955)Termination reason: Unknown
% 1.50/0.62 % (10955)Termination phase: Saturation
% 1.50/0.62
% 1.50/0.62 % (10955)Memory used [KB]: 5884
% 1.50/0.62 % (10955)Time elapsed: 0.165 s
% 1.50/0.62 % (10955)Instructions burned: 378 (million)
% 1.50/0.62 % (10955)------------------------------
% 1.50/0.62 % (10955)------------------------------
% 1.50/0.62 % (10971)Instruction limit reached!
% 1.50/0.62 % (10971)------------------------------
% 1.50/0.62 % (10971)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.50/0.62 % (10971)Termination reason: Unknown
% 1.50/0.62 % (10971)Termination phase: Saturation
% 1.50/0.62
% 1.50/0.62 % (10971)Memory used [KB]: 1535
% 1.50/0.62 % (10971)Time elapsed: 0.031 s
% 1.50/0.62 % (10971)Instructions burned: 100 (million)
% 1.50/0.62 % (10971)------------------------------
% 1.50/0.62 % (10971)------------------------------
% 2.01/0.63 % (10973)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.01/0.63 % (10972)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2997ds/507Mi)
% 2.01/0.65 % (10974)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.01/0.66 % (10974)Instruction limit reached!
% 2.01/0.66 % (10974)------------------------------
% 2.01/0.66 % (10974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.01/0.66 % (10974)Termination reason: Unknown
% 2.01/0.66 % (10974)Termination phase: Saturation
% 2.01/0.66
% 2.01/0.66 % (10974)Memory used [KB]: 5628
% 2.01/0.66 % (10974)Time elapsed: 0.041 s
% 2.01/0.66 % (10974)Instructions burned: 40 (million)
% 2.01/0.66 % (10974)------------------------------
% 2.01/0.66 % (10974)------------------------------
% 2.23/0.67 % (10975)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 2.23/0.67 % (10975)Instruction limit reached!
% 2.23/0.67 % (10975)------------------------------
% 2.23/0.67 % (10975)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.23/0.67 % (10975)Termination reason: Unknown
% 2.23/0.67 % (10975)Termination phase: Saturation
% 2.23/0.67
% 2.23/0.67 % (10975)Memory used [KB]: 9978
% 2.23/0.67 % (10975)Time elapsed: 0.004 s
% 2.23/0.67 % (10975)Instructions burned: 7 (million)
% 2.23/0.67 % (10975)------------------------------
% 2.23/0.67 % (10975)------------------------------
% 2.23/0.67 % (10949)Instruction limit reached!
% 2.23/0.67 % (10949)------------------------------
% 2.23/0.67 % (10949)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.23/0.67 % (10949)Termination reason: Unknown
% 2.23/0.67 % (10949)Termination phase: Saturation
% 2.23/0.67
% 2.23/0.67 % (10949)Memory used [KB]: 7547
% 2.23/0.67 % (10949)Time elapsed: 0.243 s
% 2.23/0.67 % (10949)Instructions burned: 713 (million)
% 2.23/0.67 % (10949)------------------------------
% 2.23/0.67 % (10949)------------------------------
% 2.23/0.68 % (10976)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2996ds/1087Mi)
% 2.23/0.68 % (10977)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.23/0.70 % (10973)Instruction limit reached!
% 2.23/0.70 % (10973)------------------------------
% 2.23/0.70 % (10973)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.23/0.70 % (10973)Termination reason: Unknown
% 2.23/0.70 % (10973)Termination phase: Saturation
% 2.23/0.70
% 2.23/0.70 % (10973)Memory used [KB]: 5756
% 2.23/0.70 % (10973)Time elapsed: 0.077 s
% 2.23/0.70 % (10973)Instructions burned: 150 (million)
% 2.23/0.70 % (10973)------------------------------
% 2.23/0.70 % (10973)------------------------------
% 2.23/0.71 % (10977)Instruction limit reached!
% 2.23/0.71 % (10977)------------------------------
% 2.23/0.71 % (10977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.23/0.71 % (10977)Termination reason: Unknown
% 2.23/0.71 % (10977)Termination phase: Saturation
% 2.23/0.71
% 2.23/0.71 % (10977)Memory used [KB]: 5756
% 2.23/0.71 % (10977)Time elapsed: 0.024 s
% 2.23/0.71 % (10977)Instructions burned: 48 (million)
% 2.23/0.71 % (10977)------------------------------
% 2.23/0.71 % (10977)------------------------------
% 2.23/0.71 % (10978)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2996ds/44Mi)
% 2.23/0.71 % (10979)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2996ds/432Mi)
% 2.23/0.73 % (10978)Instruction limit reached!
% 2.23/0.73 % (10978)------------------------------
% 2.23/0.73 % (10978)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.23/0.73 % (10978)Termination reason: Unknown
% 2.23/0.73 % (10978)Termination phase: Saturation
% 2.23/0.73
% 2.23/0.73 % (10978)Memory used [KB]: 1407
% 2.23/0.73 % (10978)Time elapsed: 0.019 s
% 2.23/0.73 % (10978)Instructions burned: 45 (million)
% 2.23/0.73 % (10978)------------------------------
% 2.23/0.73 % (10978)------------------------------
% 2.59/0.75 % (10969)Instruction limit reached!
% 2.59/0.75 % (10969)------------------------------
% 2.59/0.75 % (10969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.75 % (10969)Termination reason: Unknown
% 2.59/0.75 % (10969)Termination phase: Saturation
% 2.59/0.75
% 2.59/0.75 % (10969)Memory used [KB]: 6652
% 2.59/0.75 % (10969)Time elapsed: 0.161 s
% 2.59/0.75 % (10969)Instructions burned: 449 (million)
% 2.59/0.75 % (10969)------------------------------
% 2.59/0.75 % (10969)------------------------------
% 2.59/0.75 % (10956)Instruction limit reached!
% 2.59/0.75 % (10956)------------------------------
% 2.59/0.75 % (10956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.75 % (10956)Termination reason: Unknown
% 2.59/0.75 % (10956)Termination phase: Saturation
% 2.59/0.75
% 2.59/0.75 % (10956)Memory used [KB]: 6268
% 2.59/0.75 % (10956)Time elapsed: 0.300 s
% 2.59/0.75 % (10956)Instructions burned: 780 (million)
% 2.59/0.75 % (10956)------------------------------
% 2.59/0.75 % (10956)------------------------------
% 2.59/0.76 % (10982)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.59/0.76 % (10980)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.59/0.77 % (10976)Refutation not found, incomplete strategy
% 2.59/0.77 % (10976)------------------------------
% 2.59/0.77 % (10976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.59/0.77 % (10976)Termination reason: Refutation not found, incomplete strategy
% 2.59/0.77
% 2.59/0.77
% 2.59/0.77 % (10976)Memory used [KB]: 6140
% 2.59/0.77 % (10976)Time elapsed: 0.088 s
% 2.59/0.77 % (10976)Instructions burned: 162 (million)
% 2.59/0.77 % (10976)------------------------------
% 2.59/0.77 % (10976)------------------------------
% 2.59/0.77 % (10981)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2996ds/31Mi)
% 2.91/0.78 % (10981)Instruction limit reached!
% 2.91/0.78 % (10981)------------------------------
% 2.91/0.78 % (10981)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.91/0.78 % (10981)Termination reason: Unknown
% 2.91/0.78 % (10981)Termination phase: Saturation
% 2.91/0.78
% 2.91/0.78 % (10981)Memory used [KB]: 5756
% 2.91/0.78 % (10981)Time elapsed: 0.036 s
% 2.91/0.78 % (10981)Instructions burned: 31 (million)
% 2.91/0.78 % (10981)------------------------------
% 2.91/0.78 % (10981)------------------------------
% 2.91/0.79 % (10983)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2995ds/453Mi)
% 2.91/0.79 % (10984)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2995ds/71Mi)
% 2.91/0.79 % (10982)Instruction limit reached!
% 2.91/0.79 % (10982)------------------------------
% 2.91/0.79 % (10982)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.91/0.79 % (10982)Termination reason: Unknown
% 2.91/0.79 % (10982)Termination phase: Saturation
% 2.91/0.79
% 2.91/0.79 % (10982)Memory used [KB]: 5884
% 2.91/0.79 % (10982)Time elapsed: 0.030 s
% 2.91/0.79 % (10982)Instructions burned: 96 (million)
% 2.91/0.79 % (10982)------------------------------
% 2.91/0.79 % (10982)------------------------------
% 2.91/0.79 % (10980)Instruction limit reached!
% 2.91/0.79 % (10980)------------------------------
% 2.91/0.79 % (10980)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.91/0.79 % (10980)Termination reason: Unknown
% 2.91/0.79 % (10980)Termination phase: Saturation
% 2.91/0.79
% 2.91/0.79 % (10980)Memory used [KB]: 5756
% 2.91/0.79 % (10980)Time elapsed: 0.048 s
% 2.91/0.79 % (10980)Instructions burned: 62 (million)
% 2.91/0.79 % (10980)------------------------------
% 2.91/0.79 % (10980)------------------------------
% 2.91/0.80 % (10985)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2995ds/83Mi)
% 2.91/0.80 % (10986)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2995ds/11Mi)
% 2.91/0.81 % (10986)Instruction limit reached!
% 2.91/0.81 % (10986)------------------------------
% 2.91/0.81 % (10986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.91/0.81 % (10986)Termination reason: Unknown
% 2.91/0.81 % (10986)Termination phase: Saturation
% 2.91/0.81
% 2.91/0.81 % (10986)Memory used [KB]: 5500
% 2.91/0.81 % (10986)Time elapsed: 0.006 s
% 2.91/0.81 % (10986)Instructions burned: 11 (million)
% 2.91/0.81 % (10986)------------------------------
% 2.91/0.81 % (10986)------------------------------
% 2.91/0.81 % (10984)Instruction limit reached!
% 2.91/0.81 % (10984)------------------------------
% 2.91/0.81 % (10984)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.91/0.81 % (10984)Termination reason: Unknown
% 2.91/0.81 % (10984)Termination phase: Saturation
% 2.91/0.81
% 2.91/0.81 % (10984)Memory used [KB]: 5756
% 2.91/0.81 % (10984)Time elapsed: 0.024 s
% 2.91/0.81 % (10984)Instructions burned: 74 (million)
% 2.91/0.81 % (10984)------------------------------
% 2.91/0.81 % (10984)------------------------------
% 2.91/0.81 % (10951)Instruction limit reached!
% 2.91/0.81 % (10951)------------------------------
% 2.91/0.81 % (10951)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.91/0.81 % (10951)Termination reason: Unknown
% 2.91/0.81 % (10951)Termination phase: Saturation
% 2.91/0.81
% 2.91/0.81 % (10951)Memory used [KB]: 6396
% 2.91/0.81 % (10951)Time elapsed: 0.387 s
% 2.91/0.81 % (10951)Instructions burned: 905 (million)
% 2.91/0.81 % (10951)------------------------------
% 2.91/0.81 % (10951)------------------------------
% 2.91/0.81 % (10972)Instruction limit reached!
% 2.91/0.81 % (10972)------------------------------
% 2.91/0.81 % (10972)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.91/0.81 % (10972)Termination reason: Unknown
% 2.91/0.81 % (10972)Termination phase: Saturation
% 2.91/0.81
% 2.91/0.81 % (10972)Memory used [KB]: 6396
% 2.91/0.81 % (10972)Time elapsed: 0.182 s
% 2.91/0.81 % (10972)Instructions burned: 509 (million)
% 2.91/0.81 % (10972)------------------------------
% 2.91/0.81 % (10972)------------------------------
% 2.91/0.82 % (10988)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 2.91/0.82 % (10988)Instruction limit reached!
% 2.91/0.82 % (10988)------------------------------
% 2.91/0.82 % (10988)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.91/0.82 % (10988)Termination reason: Unknown
% 2.91/0.82 % (10988)Termination phase: Saturation
% 2.91/0.82
% 2.91/0.82 % (10988)Memory used [KB]: 5500
% 2.91/0.82 % (10988)Time elapsed: 0.004 s
% 2.91/0.82 % (10988)Instructions burned: 9 (million)
% 2.91/0.82 % (10988)------------------------------
% 2.91/0.82 % (10988)------------------------------
% 2.91/0.82 % (10989)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2995ds/150Mi)
% 2.91/0.82 % (10987)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2995ds/41Mi)
% 2.91/0.82 % (10990)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2995ds/343Mi)
% 3.35/0.83 % (10991)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2995ds/109Mi)
% 3.35/0.83 % (10985)Instruction limit reached!
% 3.35/0.83 % (10985)------------------------------
% 3.35/0.83 % (10985)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.35/0.83 % (10985)Termination reason: Unknown
% 3.35/0.83 % (10985)Termination phase: Saturation
% 3.35/0.83
% 3.35/0.83 % (10985)Memory used [KB]: 5884
% 3.35/0.83 % (10985)Time elapsed: 0.038 s
% 3.35/0.83 % (10985)Instructions burned: 83 (million)
% 3.35/0.83 % (10985)------------------------------
% 3.35/0.83 % (10985)------------------------------
% 3.35/0.84 % (10987)Instruction limit reached!
% 3.35/0.84 % (10987)------------------------------
% 3.35/0.84 % (10987)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.35/0.84 % (10987)Termination reason: Unknown
% 3.35/0.84 % (10987)Termination phase: Saturation
% 3.35/0.84
% 3.35/0.84 % (10987)Memory used [KB]: 5756
% 3.35/0.84 % (10987)Time elapsed: 0.017 s
% 3.35/0.84 % (10987)Instructions burned: 41 (million)
% 3.35/0.84 % (10987)------------------------------
% 3.35/0.84 % (10987)------------------------------
% 3.35/0.84 % (10992)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2995ds/253Mi)
% 3.35/0.85 % (10993)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2995ds/140Mi)
% 3.44/0.86 % (10990)Refutation not found, incomplete strategy
% 3.44/0.86 % (10990)------------------------------
% 3.44/0.86 % (10990)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.44/0.86 % (10990)Termination reason: Refutation not found, incomplete strategy
% 3.44/0.86
% 3.44/0.86
% 3.44/0.86 % (10990)Memory used [KB]: 6140
% 3.44/0.86 % (10990)Time elapsed: 0.042 s
% 3.44/0.86 % (10990)Instructions burned: 120 (million)
% 3.44/0.86 % (10990)------------------------------
% 3.44/0.86 % (10990)------------------------------
% 3.44/0.86 % (10993)Refutation not found, incomplete strategy
% 3.44/0.86 % (10993)------------------------------
% 3.44/0.86 % (10993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.44/0.86 % (10993)Termination reason: Refutation not found, incomplete strategy
% 3.44/0.86
% 3.44/0.86
% 3.44/0.86 % (10993)Memory used [KB]: 5884
% 3.44/0.86 % (10993)Time elapsed: 0.017 s
% 3.44/0.86 % (10993)Instructions burned: 51 (million)
% 3.44/0.86 % (10993)------------------------------
% 3.44/0.86 % (10993)------------------------------
% 3.44/0.87 % (10991)Instruction limit reached!
% 3.44/0.87 % (10991)------------------------------
% 3.44/0.87 % (10991)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.44/0.87 % (10991)Termination reason: Unknown
% 3.44/0.87 % (10991)Termination phase: Saturation
% 3.44/0.87
% 3.44/0.87 % (10991)Memory used [KB]: 6012
% 3.44/0.87 % (10991)Time elapsed: 0.041 s
% 3.44/0.87 % (10991)Instructions burned: 111 (million)
% 3.44/0.87 % (10991)------------------------------
% 3.44/0.87 % (10991)------------------------------
% 3.44/0.87 % (10979)Instruction limit reached!
% 3.44/0.87 % (10979)------------------------------
% 3.44/0.87 % (10979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.44/0.87 % (10979)Termination reason: Unknown
% 3.44/0.87 % (10979)Termination phase: Saturation
% 3.44/0.87
% 3.44/0.87 % (10979)Memory used [KB]: 6268
% 3.44/0.87 % (10979)Time elapsed: 0.154 s
% 3.44/0.87 % (10979)Instructions burned: 432 (million)
% 3.44/0.87 % (10979)------------------------------
% 3.44/0.87 % (10979)------------------------------
% 3.44/0.87 % (10995)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2995ds/202Mi)
% 3.44/0.87 % (10994)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2995ds/614Mi)
% 3.44/0.88 % (10996)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2995ds/339Mi)
% 3.44/0.88 % (10989)Instruction limit reached!
% 3.44/0.88 % (10989)------------------------------
% 3.44/0.88 % (10989)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.44/0.88 % (10989)Termination reason: Unknown
% 3.44/0.88 % (10989)Termination phase: Saturation
% 3.44/0.88
% 3.44/0.88 % (10989)Memory used [KB]: 6268
% 3.44/0.88 % (10989)Time elapsed: 0.064 s
% 3.44/0.88 % (10989)Instructions burned: 150 (million)
% 3.44/0.88 % (10989)------------------------------
% 3.44/0.88 % (10989)------------------------------
% 3.44/0.88 % (10940)Instruction limit reached!
% 3.44/0.88 % (10940)------------------------------
% 3.44/0.88 % (10940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.44/0.88 % (10940)Termination reason: Unknown
% 3.44/0.88 % (10940)Termination phase: Saturation
% 3.44/0.88
% 3.44/0.88 % (10940)Memory used [KB]: 7036
% 3.44/0.88 % (10940)Time elapsed: 0.480 s
% 3.44/0.88 % (10940)Instructions burned: 1042 (million)
% 3.44/0.88 % (10940)------------------------------
% 3.44/0.88 % (10940)------------------------------
% 3.44/0.89 % (10997)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2995ds/283Mi)
% 3.44/0.90 % (10998)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2994ds/134Mi)
% 3.44/0.90 % (10999)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2994ds/298Mi)
% 3.85/0.92 % (10992)Instruction limit reached!
% 3.85/0.92 % (10992)------------------------------
% 3.85/0.92 % (10992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.92 % (10992)Termination reason: Unknown
% 3.85/0.92 % (10992)Termination phase: Saturation
% 3.85/0.92
% 3.85/0.92 % (10992)Memory used [KB]: 6396
% 3.85/0.92 % (10992)Time elapsed: 0.082 s
% 3.85/0.92 % (10992)Instructions burned: 253 (million)
% 3.85/0.92 % (10992)------------------------------
% 3.85/0.92 % (10992)------------------------------
% 3.85/0.93 % (11000)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2994ds/192Mi)
% 3.85/0.94 % (10994)Refutation not found, incomplete strategy
% 3.85/0.94 % (10994)------------------------------
% 3.85/0.94 % (10994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.94 % (10994)Termination reason: Refutation not found, incomplete strategy
% 3.85/0.94
% 3.85/0.94
% 3.85/0.94 % (10994)Memory used [KB]: 6524
% 3.85/0.94 % (10994)Time elapsed: 0.071 s
% 3.85/0.94 % (10994)Instructions burned: 154 (million)
% 3.85/0.94 % (10994)------------------------------
% 3.85/0.94 % (10994)------------------------------
% 3.85/0.95 % (10998)Instruction limit reached!
% 3.85/0.95 % (10998)------------------------------
% 3.85/0.95 % (10998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.95 % (10998)Termination reason: Unknown
% 3.85/0.95 % (10998)Termination phase: Saturation
% 3.85/0.95
% 3.85/0.95 % (10998)Memory used [KB]: 7419
% 3.85/0.95 % (10998)Time elapsed: 0.052 s
% 3.85/0.95 % (10998)Instructions burned: 134 (million)
% 3.85/0.95 % (10998)------------------------------
% 3.85/0.95 % (10998)------------------------------
% 3.85/0.95 % (10995)Instruction limit reached!
% 3.85/0.95 % (10995)------------------------------
% 3.85/0.95 % (10995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.95 % (10995)Termination reason: Unknown
% 3.85/0.95 % (10995)Termination phase: Saturation
% 3.85/0.95
% 3.85/0.95 % (10995)Memory used [KB]: 6396
% 3.85/0.95 % (10995)Time elapsed: 0.080 s
% 3.85/0.95 % (10995)Instructions burned: 204 (million)
% 3.85/0.95 % (10995)------------------------------
% 3.85/0.95 % (10995)------------------------------
% 3.85/0.95 % (11001)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2994ds/258Mi)
% 3.85/0.96 % (11002)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.85/0.97 % (11003)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2994ds/231Mi)
% 4.17/0.98 % (10983)Instruction limit reached!
% 4.17/0.98 % (10983)------------------------------
% 4.17/0.98 % (10983)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/0.98 % (10983)Termination reason: Unknown
% 4.17/0.98 % (10983)Termination phase: Saturation
% 4.17/0.98
% 4.17/0.98 % (10983)Memory used [KB]: 6140
% 4.17/0.98 % (10983)Time elapsed: 0.195 s
% 4.17/0.98 % (10983)Instructions burned: 453 (million)
% 4.17/0.98 % (10983)------------------------------
% 4.17/0.98 % (10983)------------------------------
% 4.17/0.98 % (10997)Instruction limit reached!
% 4.17/0.98 % (10997)------------------------------
% 4.17/0.98 % (10997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/0.98 % (10997)Termination reason: Unknown
% 4.17/0.98 % (10997)Termination phase: Saturation
% 4.17/0.98
% 4.17/0.98 % (10997)Memory used [KB]: 6780
% 4.17/0.98 % (10997)Time elapsed: 0.119 s
% 4.17/0.98 % (10997)Instructions burned: 284 (million)
% 4.17/0.98 % (10997)------------------------------
% 4.17/0.98 % (10997)------------------------------
% 4.17/0.99 % (11004)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2993ds/458Mi)
% 4.17/0.99 % (11002)Instruction limit reached!
% 4.17/0.99 % (11002)------------------------------
% 4.17/0.99 % (11002)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/0.99 % (11002)Termination reason: Unknown
% 4.17/0.99 % (11002)Termination phase: Saturation
% 4.17/0.99
% 4.17/0.99 % (11002)Memory used [KB]: 5756
% 4.17/0.99 % (11002)Time elapsed: 0.034 s
% 4.17/0.99 % (11002)Instructions burned: 91 (million)
% 4.17/0.99 % (11002)------------------------------
% 4.17/0.99 % (11002)------------------------------
% 4.17/0.99 % (10996)First to succeed.
% 4.17/1.00 % (11005)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2993ds/31Mi)
% 4.17/1.00 % (11007)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2993ds/297Mi)
% 4.17/1.01 % (10996)Refutation found. Thanks to Tanya!
% 4.17/1.01 % SZS status Theorem for theBenchmark
% 4.17/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 4.17/1.01 % (10996)------------------------------
% 4.17/1.01 % (10996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.17/1.01 % (10996)Termination reason: Refutation
% 4.17/1.01
% 4.17/1.01 % (10996)Memory used [KB]: 6524
% 4.17/1.01 % (10996)Time elapsed: 0.154 s
% 4.17/1.01 % (10996)Instructions burned: 308 (million)
% 4.17/1.01 % (10996)------------------------------
% 4.17/1.01 % (10996)------------------------------
% 4.17/1.01 % (10928)Success in time 0.651 s
% 4.17/1.01 % Vampire---4.8 exiting
%------------------------------------------------------------------------------