%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA127^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:55:40 AM UTC 2026
% Result : Unsatisfiable 29.02s 4.57s
% Output : Refutation 29.02s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( b @ X0 @ X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X2: $i,X3: $i,X1: $i,X0: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X0 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X0: $i,X3: $i,X2: $i,X1: $i] :
( ~ ( b @ X0 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X2 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f9,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X0 @ X2 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X3 @ X2 )
| ~ ( b @ X2 @ X1 ) ),
inference(rectify,[],[f7]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X2 @ X0 )
| ~ ( r @ X3 @ X2 )
| ~ ( r @ X2 @ X1 )
| ~ ( r @ X3 @ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X3 @ X2 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X3 @ X1 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( b @ X0 @ X1 )
| ( r @ X0 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f15,plain,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f17,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X1: $i,X0: $i,X3: $i,X2: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X3 @ X2 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f21,plain,
! [X3: $i,X0: $i,X2: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X3 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X3 @ X2 )
!= $true ) ),
inference(flattening,[],[f13]) ).
thf(f22,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(rectify,[],[f21]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(rectify,[],[f15]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f27,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f28,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f31,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f32,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f35,plain,
! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f30,f32]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f30,f32]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f30,f31]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X3 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f30]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f40]) ).
thf(f45,definition,
( spl0_1
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f46,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f48,definition,
( spl0_2
<=> ! [X0: $i] :
( ( r @ z @ ( s @ X0 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f49,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ X0 ) )
= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f54,definition,
( spl0_3
<=> ! [X1: $i] :
( ( r @ z @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f55,plain,
( ! [X1: $i] :
( ( r @ z @ X1 )
!= $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f54]) ).
thf(f65,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(constrained_superposition,[],[f26,f36]) ).
thf(f66,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f65]) ).
thf(f67,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( s @ X1 )
= X0 )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ X1 ) )
!= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) ),
inference(constrained_superposition,[],[f66,f30]) ).
thf(f70,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ X1 ) )
!= $true )
| ( ( s @ X1 )
= X0 )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( b @ X2 @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f67]) ).
thf(f71,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f37,f31]) ).
thf(f73,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f32]) ).
thf(f74,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f32]) ).
thf(f76,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X3 @ ( s @ X0 ) )
!= $true ) ),
inference(constrained_superposition,[],[f26,f37]) ).
thf(f77,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f76]) ).
thf(f79,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f66,f73]) ).
thf(f80,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f26,f73]) ).
thf(f81,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f80]) ).
thf(f82,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f79]) ).
thf(f84,definition,
( spl0_5
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f85,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f87,definition,
( spl0_6
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f88,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f87]) ).
thf(f89,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f82,f87,f84]) ).
thf(f111,definition,
( spl0_7
<=> ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f112,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f111]) ).
thf(f114,definition,
( spl0_8
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f115,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f114]) ).
thf(f122,definition,
( spl0_9
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X2 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f123,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X2 @ ( s @ z ) )
!= $true ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f122]) ).
thf(f125,definition,
( spl0_10
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ z ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f126,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f125]) ).
thf(f146,definition,
( spl0_11
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f147,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f146]) ).
thf(f149,definition,
( spl0_12
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f150,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_12 ),
inference(avatar_component_clause,[],[f149]) ).
thf(f152,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_12 ),
inference(constrained_superposition,[],[f150,f35]) ).
thf(f155,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_12 ),
inference(trivial_inequality_removal,[],[f152]) ).
thf(f165,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ z @ ( s @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f41,f32]) ).
thf(f168,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f41,f30]) ).
thf(f174,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X1 )
!= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X2 )
= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X1 = X2 ) ),
inference(trivial_inequality_removal,[],[f168]) ).
thf(f184,definition,
( spl0_14
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f185,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f184]) ).
thf(f195,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f165,f45,f48]) ).
thf(f200,definition,
( spl0_17
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f201,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f200]) ).
thf(f207,plain,
( spl0_17
| spl0_12 ),
inference(avatar_split_clause,[],[f155,f149,f200]) ).
thf(f271,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f29,f201]) ).
thf(f272,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f271]) ).
thf(f275,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f46,f36]) ).
thf(f276,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f275]) ).
thf(f278,plain,
( spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f276,f45,f184]) ).
thf(f290,definition,
( spl0_19
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f291,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_19 ),
inference(avatar_component_clause,[],[f290]) ).
thf(f300,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_19 ),
inference(constrained_superposition,[],[f291,f36]) ).
thf(f302,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_19 ),
inference(trivial_inequality_removal,[],[f300]) ).
thf(f304,plain,
( spl0_6
| spl0_19 ),
inference(avatar_split_clause,[],[f302,f290,f87]) ).
thf(f329,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f29,f147]) ).
thf(f330,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f329]) ).
thf(f357,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X3 )
= $true )
| ( X1 = X3 )
| ( ( r @ X2 @ X1 )
= $true )
| ( X1 = X2 )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f174,f30]) ).
thf(f366,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ X1 )
= $true )
| ( ( r @ X1 @ X3 )
= $true )
| ( X0 = X1 )
| ( X1 = X2 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X1 = X3 ) ),
inference(trivial_inequality_removal,[],[f357]) ).
thf(f370,definition,
( spl0_22
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f371,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f370]) ).
thf(f405,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f71,f32]) ).
thf(f406,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f71,f32]) ).
thf(f435,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( X0 = X2 )
| ( ( r @ X0 @ X2 )
= $true )
| ( X1 = X2 )
| ( ( r @ X1 @ X2 )
= $true )
| ( ( r @ X2 @ X3 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( X2 = X3 ) ),
inference(constrained_superposition,[],[f366,f30]) ).
thf(f445,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X3 )
= $true )
| ( X0 = X2 )
| ( X2 = X3 )
| ( ( r @ X0 @ X2 )
= $true )
| ( X0 = X1 )
| ( X1 = X2 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X1 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f435]) ).
thf(f507,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
inference(constrained_superposition,[],[f81,f405]) ).
thf(f511,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f66,f405]) ).
thf(f512,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f26,f405]) ).
thf(f513,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f41,f405]) ).
thf(f522,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f513]) ).
thf(f526,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f512]) ).
thf(f528,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f507]) ).
thf(f531,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f511]) ).
thf(f537,definition,
( spl0_24
<=> ! [X2: $i,X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f538,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f537]) ).
thf(f540,definition,
( spl0_25
<=> ! [X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f541,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f540]) ).
thf(f542,plain,
( spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f522,f540,f537]) ).
thf(f544,definition,
( spl0_26
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f545,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_26 ),
inference(avatar_component_clause,[],[f544]) ).
thf(f551,definition,
( spl0_28
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f552,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f551]) ).
thf(f554,definition,
( spl0_29
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f555,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f554]) ).
thf(f564,plain,
( spl0_24
| spl0_29 ),
inference(avatar_split_clause,[],[f528,f554,f537]) ).
thf(f569,definition,
( spl0_33
<=> ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f570,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f569]) ).
thf(f576,plain,
( spl0_24
| spl0_33 ),
inference(avatar_split_clause,[],[f531,f569,f537]) ).
thf(f581,definition,
( spl0_35
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f582,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f581]) ).
thf(f586,plain,
( ( $true != $true )
| ~ spl0_6
| ~ spl0_10 ),
inference(constrained_superposition,[],[f126,f88]) ).
thf(f593,plain,
( $false
| ~ spl0_6
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f586]) ).
thf(f594,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f593]) ).
thf(f604,definition,
( spl0_37
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 )
| ( X1 = X2 )
| ( ( r @ X2 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f605,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ z ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( ( s @ z )
= X1 )
| ( ( s @ z )
= X2 ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f604]) ).
thf(f622,definition,
( spl0_38
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f623,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f622]) ).
thf(f625,definition,
( spl0_39
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f626,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f625]) ).
thf(f757,definition,
( spl0_41
<=> ! [X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f758,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f757]) ).
thf(f759,plain,
( spl0_41
| spl0_3
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f272,f200,f54,f757]) ).
thf(f762,definition,
( spl0_42
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f763,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f762]) ).
thf(f858,definition,
( spl0_46
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f859,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_46 ),
inference(avatar_component_clause,[],[f858]) ).
thf(f886,definition,
( spl0_49
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f887,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f886]) ).
thf(f1015,definition,
( spl0_51
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f1016,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_51 ),
inference(avatar_component_clause,[],[f1015]) ).
thf(f1061,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f85,f35]) ).
thf(f1071,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1061]) ).
thf(f1073,definition,
( spl0_57
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f1074,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f1073]) ).
thf(f1075,plain,
( spl0_57
| ~ spl0_12
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1071,f84,f149,f1073]) ).
thf(f1141,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f29,f112]) ).
thf(f1143,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f1141]) ).
thf(f1145,plain,
( spl0_10
| spl0_9
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1143,f111,f122,f125]) ).
thf(f1161,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_42 ),
inference(constrained_superposition,[],[f763,f147]) ).
thf(f1168,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_11
| ~ spl0_42 ),
inference(duplicate_literal_removal,[],[f1161]) ).
thf(f1169,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f1168]) ).
thf(f1178,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_42 ),
inference(constrained_superposition,[],[f29,f1169]) ).
thf(f1179,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X2 @ z )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_11
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f1178]) ).
thf(f1190,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_6 ),
inference(avatar_component_clause,[],[f87]) ).
thf(f1200,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( s @ z )
= X1 )
| ( X0 = X1 )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) ) )
| spl0_6 ),
inference(constrained_superposition,[],[f1190,f445]) ).
thf(f1202,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= X1 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1200]) ).
thf(f1206,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ ( s @ z ) )
= $true ) )
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1202,f32]) ).
thf(f1209,plain,
( spl0_37
| spl0_6 ),
inference(avatar_split_clause,[],[f1206,f87,f604]) ).
thf(f1377,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f29,f88]) ).
thf(f1378,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1377]) ).
thf(f1379,plain,
( spl0_10
| spl0_41
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1378,f87,f757,f125]) ).
thf(f1440,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f115,f30]) ).
thf(f1442,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f115,f37]) ).
thf(f1445,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1442]) ).
thf(f1447,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1440]) ).
thf(f1993,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( s @ z )
= X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f1447,f30]) ).
thf(f1995,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X1 )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f1447,f37]) ).
thf(f1996,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f1447,f73]) ).
thf(f1997,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1996]) ).
thf(f1999,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1995]) ).
thf(f2000,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ ( s @ z ) )
= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1993]) ).
thf(f2027,definition,
( spl0_78
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
thf(f2028,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( z = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f2027]) ).
thf(f2036,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_38 ),
inference(constrained_superposition,[],[f623,f49]) ).
thf(f2044,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_2
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f2036]) ).
thf(f2057,plain,
( $false
| ~ spl0_2
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f2044,f49]) ).
thf(f2058,plain,
( ~ spl0_2
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f2057]) ).
thf(f2117,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_41 ),
inference(constrained_superposition,[],[f758,f555]) ).
thf(f2120,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_29
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f2117]) ).
thf(f2128,plain,
( $false
| ~ spl0_29
| ~ spl0_33
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2120,f570]) ).
thf(f2129,plain,
( ~ spl0_29
| ~ spl0_33
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f2128]) ).
thf(f2148,definition,
( spl0_80
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f2149,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f2148]) ).
thf(f2164,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( z = X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f46,f30]) ).
thf(f2166,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( z = X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f2164]) ).
thf(f2209,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ X0 ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f29,f541]) ).
thf(f2228,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f2209]) ).
thf(f2236,definition,
( spl0_81
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X2 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
thf(f2237,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X2 @ X0 ) ) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f2236]) ).
thf(f2238,plain,
( spl0_39
| spl0_81
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f2228,f540,f2236,f625]) ).
thf(f2272,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f2166,f36]) ).
thf(f2274,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f2272]) ).
thf(f2275,plain,
( spl0_78
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2274,f45,f2027]) ).
thf(f2412,plain,
( ( $true != $true )
| ~ spl0_29
| ~ spl0_39 ),
inference(constrained_superposition,[],[f626,f555]) ).
thf(f2425,plain,
( $false
| ~ spl0_29
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f2412]) ).
thf(f2426,plain,
( ~ spl0_29
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f2425]) ).
thf(f2470,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_35
| ~ spl0_38 ),
inference(constrained_superposition,[],[f623,f582]) ).
thf(f2477,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_35
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f2470]) ).
thf(f2480,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_35
| ~ spl0_38
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2477,f758]) ).
thf(f2483,definition,
( spl0_87
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
thf(f2484,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f2483]) ).
thf(f2486,definition,
( spl0_88
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
thf(f2487,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f2486]) ).
thf(f2489,plain,
( spl0_87
| ~ spl0_35
| ~ spl0_38
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f2480,f757,f622,f581,f2483]) ).
thf(f2535,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f2000,f36]) ).
thf(f2542,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f2535]) ).
thf(f3864,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ X1 ) @ ( s @ z ) )
= $true )
| ( ( s @ X1 )
= X0 )
| ( z = X1 ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f1999,f30]) ).
thf(f3869,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( z = X1 )
| ( ( s @ z )
= X0 )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f3864]) ).
thf(f4403,definition,
( spl0_126
<=> ! [X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ ( s @ X1 ) @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
thf(f4404,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ X1 ) @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f4403]) ).
thf(f4519,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X2 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ),
inference(extensionality_resolution,[],[f77,f32]) ).
thf(f4521,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( X0 = X2 )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X2 ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f77,f35]) ).
thf(f4525,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ z )
= X2 )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X2 ) )
= $true ) ),
inference(constrained_superposition,[],[f77,f405]) ).
thf(f4530,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( X0 = X2 )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X2 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f4521]) ).
thf(f4531,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X2 )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X2 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f4525]) ).
thf(f4556,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(constrained_superposition,[],[f70,f73]) ).
thf(f4567,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f4556]) ).
thf(f6477,definition,
( spl0_151
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
thf(f6478,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f6477]) ).
thf(f6480,definition,
( spl0_152
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f6481,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f6480]) ).
thf(f6487,definition,
( spl0_154
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
thf(f6488,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f6487]) ).
thf(f6522,definition,
( spl0_156
<=> ! [X1: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f6523,plain,
( ! [X1: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f6522]) ).
thf(f6590,definition,
( spl0_158
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
thf(f6591,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f6590]) ).
thf(f6593,definition,
( spl0_159
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
thf(f6594,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f6593]) ).
thf(f6621,definition,
( spl0_160
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f6622,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f6621]) ).
thf(f6639,definition,
( spl0_161
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
thf(f6640,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f6639]) ).
thf(f6661,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f74,f552]) ).
thf(f6760,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f6661,f28]) ).
thf(f6771,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f6760,f27]) ).
thf(f6772,plain,
~ spl0_28,
inference(avatar_contradiction_clause,[],[f6771]) ).
thf(f7648,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ z ) )
| spl0_28 ),
inference(avatar_component_clause,[],[f551]) ).
thf(f7657,definition,
( spl0_174
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
thf(f7658,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f7657]) ).
thf(f7693,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| spl0_28 ),
inference(extensionality_resolution,[],[f4530,f7648]) ).
thf(f7704,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| spl0_28 ),
inference(extensionality_resolution,[],[f41,f7648]) ).
thf(f7710,definition,
( spl0_175
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
thf(f7711,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f7710]) ).
thf(f7713,definition,
( spl0_176
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
thf(f7714,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f7713]) ).
thf(f7717,definition,
( spl0_177
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
thf(f7718,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f7717]) ).
thf(f7720,definition,
( spl0_178
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
thf(f7721,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f7720]) ).
thf(f7745,definition,
( spl0_179
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
thf(f7746,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f7745]) ).
thf(f7750,definition,
( spl0_180
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
thf(f7751,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f7750]) ).
thf(f7753,definition,
( spl0_181
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
thf(f7754,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f7753]) ).
thf(f7815,definition,
( spl0_184
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
thf(f7816,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f7815]) ).
thf(f7827,definition,
( spl0_187
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f7828,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f7827]) ).
thf(f7830,definition,
( spl0_188
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
thf(f7831,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_188 ),
inference(avatar_component_clause,[],[f7830]) ).
thf(f7870,definition,
( spl0_190
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f7871,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f7870]) ).
thf(f7873,definition,
( spl0_191
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f7874,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f7873]) ).
thf(f7898,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f74,f7871]) ).
thf(f8019,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f7898,f28]) ).
thf(f8041,plain,
( $false
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f8019,f27]) ).
thf(f8042,plain,
~ spl0_190,
inference(avatar_contradiction_clause,[],[f8041]) ).
thf(f8052,definition,
( spl0_192
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f8053,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f8052]) ).
thf(f8056,definition,
( spl0_193
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f8057,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f8056]) ).
thf(f8065,definition,
( spl0_195
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
thf(f8066,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f8065]) ).
thf(f8074,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_29 ),
inference(avatar_component_clause,[],[f554]) ).
thf(f8081,definition,
( spl0_197
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
thf(f8082,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_197 ),
inference(avatar_component_clause,[],[f8081]) ).
thf(f8095,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_33 ),
inference(avatar_component_clause,[],[f569]) ).
thf(f8112,definition,
( spl0_202
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f8113,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f8112]) ).
thf(f8179,definition,
( spl0_203
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) )
= $true )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f8180,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f8179]) ).
thf(f8205,definition,
( spl0_204
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
thf(f8206,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f8205]) ).
thf(f8252,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f406,f7874]) ).
thf(f8314,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f8252,f27]) ).
thf(f8330,plain,
( $false
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f8314,f28]) ).
thf(f8331,plain,
~ spl0_191,
inference(avatar_contradiction_clause,[],[f8330]) ).
thf(f8337,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_8
| spl0_29 ),
inference(constrained_superposition,[],[f8074,f3869]) ).
thf(f8340,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| spl0_29
| ~ spl0_37 ),
inference(constrained_superposition,[],[f8074,f605]) ).
thf(f8345,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| spl0_29
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f8340]) ).
thf(f8348,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_8
| spl0_29 ),
inference(trivial_inequality_removal,[],[f8337]) ).
thf(f8353,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| spl0_28
| spl0_29
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f8345,f7648]) ).
thf(f8355,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_8
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f8348,f32]) ).
thf(f8358,plain,
( spl0_174
| spl0_28
| spl0_29
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f8353,f604,f554,f551,f7657]) ).
thf(f8359,plain,
( spl0_174
| ~ spl0_8
| spl0_29 ),
inference(avatar_split_clause,[],[f8355,f554,f114,f7657]) ).
thf(f8463,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_197 ),
inference(constrained_superposition,[],[f8082,f73]) ).
thf(f8468,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_197 ),
inference(trivial_inequality_removal,[],[f8463]) ).
thf(f8471,plain,
( spl0_193
| spl0_197 ),
inference(avatar_split_clause,[],[f8468,f8081,f8056]) ).
thf(f8506,definition,
( spl0_214
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
thf(f8507,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f8506]) ).
thf(f8517,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_51 ),
inference(constrained_superposition,[],[f1016,f36]) ).
thf(f8519,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_51 ),
inference(trivial_inequality_removal,[],[f8517]) ).
thf(f8530,definition,
( spl0_215
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).
thf(f8531,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f8530]) ).
thf(f8538,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_41
| ~ spl0_192 ),
inference(constrained_superposition,[],[f758,f8053]) ).
thf(f8544,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_41
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f8538]) ).
thf(f8548,plain,
( $false
| ~ spl0_41
| ~ spl0_192
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f8544,f8066]) ).
thf(f8549,plain,
( ~ spl0_41
| ~ spl0_192
| ~ spl0_195 ),
inference(avatar_contradiction_clause,[],[f8548]) ).
thf(f8553,definition,
( spl0_216
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f8554,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f8553]) ).
thf(f8559,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_41
| ~ spl0_193 ),
inference(constrained_superposition,[],[f758,f8057]) ).
thf(f8565,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_41
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f8559]) ).
thf(f8569,plain,
( $false
| ~ spl0_41
| ~ spl0_193
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[],[f8565,f8113]) ).
thf(f8570,plain,
( ~ spl0_41
| ~ spl0_193
| ~ spl0_202 ),
inference(avatar_contradiction_clause,[],[f8569]) ).
thf(f8585,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_180 ),
inference(constrained_superposition,[],[f7751,f147]) ).
thf(f8591,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_11
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f8585]) ).
thf(f8597,plain,
( $false
| ~ spl0_11
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f8591,f7751]) ).
thf(f8598,plain,
( ~ spl0_11
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f8597]) ).
thf(f8658,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_11
| ~ spl0_42
| ~ spl0_175 ),
inference(constrained_superposition,[],[f1179,f7711]) ).
thf(f8659,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_11
| ~ spl0_175 ),
inference(constrained_superposition,[],[f330,f7711]) ).
thf(f8664,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_11
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f8659]) ).
thf(f8665,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_11
| ~ spl0_42
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f8658]) ).
thf(f8669,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_193 ),
inference(avatar_component_clause,[],[f8056]) ).
thf(f8670,plain,
( spl0_195
| ~ spl0_193
| spl0_180
| ~ spl0_11
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f8664,f7710,f146,f7750,f8056,f8065]) ).
thf(f8671,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_202 ),
inference(avatar_component_clause,[],[f8112]) ).
thf(f8672,plain,
( ~ spl0_202
| spl0_180
| spl0_190
| ~ spl0_11
| ~ spl0_42
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f8665,f7710,f762,f146,f7870,f7750,f8112]) ).
thf(f8797,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_49
| ~ spl0_187 ),
inference(constrained_superposition,[],[f887,f7828]) ).
thf(f8804,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_49
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f8797]) ).
thf(f8807,definition,
( spl0_220
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).
thf(f8808,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f8807]) ).
thf(f8810,plain,
( $false
| ~ spl0_49
| ~ spl0_187
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f8804,f8066]) ).
thf(f8811,plain,
( ~ spl0_49
| ~ spl0_187
| ~ spl0_195 ),
inference(avatar_contradiction_clause,[],[f8810]) ).
thf(f8825,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_49
| ~ spl0_215 ),
inference(constrained_superposition,[],[f887,f8531]) ).
thf(f8829,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_49
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f8825]) ).
thf(f8838,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_22
| ~ spl0_176 ),
inference(constrained_superposition,[],[f371,f7714]) ).
thf(f8845,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f81,f7714]) ).
thf(f8850,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_176 ),
inference(constrained_superposition,[],[f1999,f7714]) ).
thf(f8857,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_8
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f8850]) ).
thf(f8863,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f8845]) ).
thf(f8875,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_22
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f8838]) ).
thf(f8878,plain,
( spl0_184
| spl0_192
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f8863,f7713,f8052,f7815]) ).
thf(f8896,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_192 ),
inference(avatar_component_clause,[],[f8052]) ).
thf(f8910,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_22
| ~ spl0_178 ),
inference(constrained_superposition,[],[f371,f7721]) ).
thf(f8912,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_8
| ~ spl0_178 ),
inference(constrained_superposition,[],[f1445,f7721]) ).
thf(f8924,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_8
| ~ spl0_178 ),
inference(constrained_superposition,[],[f1999,f7721]) ).
thf(f8945,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_8
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f8924]) ).
thf(f8948,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_22
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f8910]) ).
thf(f8951,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f8912]) ).
thf(f8998,definition,
( spl0_225
<=> ! [X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).
thf(f8999,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f8998]) ).
thf(f9021,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_159
| ~ spl0_214 ),
inference(constrained_superposition,[],[f8507,f6594]) ).
thf(f9022,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_159
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f9021]) ).
thf(f9060,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f7816,f35]) ).
thf(f9064,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f7816,f406]) ).
thf(f9065,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f7816,f74]) ).
thf(f9066,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f9060]) ).
thf(f9067,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f9064]) ).
thf(f9072,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f9065]) ).
thf(f9074,definition,
( spl0_226
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).
thf(f9075,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_226 ),
inference(avatar_component_clause,[],[f9074]) ).
thf(f9077,definition,
( spl0_227
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f9078,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f9077]) ).
thf(f9079,plain,
( ~ spl0_226
| spl0_227
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f9067,f7815,f9077,f9074]) ).
thf(f9081,definition,
( spl0_228
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
thf(f9082,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f9081]) ).
thf(f9084,definition,
( spl0_229
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).
thf(f9085,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_229 ),
inference(avatar_component_clause,[],[f9084]) ).
thf(f9086,plain,
( spl0_228
| ~ spl0_229
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f9072,f7815,f9084,f9081]) ).
thf(f9088,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_229 ),
inference(constrained_superposition,[],[f9085,f37]) ).
thf(f9091,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_229 ),
inference(trivial_inequality_removal,[],[f9088]) ).
thf(f9107,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_225
| ~ spl0_227 ),
inference(constrained_superposition,[],[f8999,f9078]) ).
thf(f9112,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_225
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f9107]) ).
thf(f9115,plain,
( $false
| ~ spl0_33
| ~ spl0_225
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f9112,f570]) ).
thf(f9116,plain,
( ~ spl0_33
| ~ spl0_225
| ~ spl0_227 ),
inference(avatar_contradiction_clause,[],[f9115]) ).
thf(f9124,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_8
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f8945,f32]) ).
thf(f9128,plain,
( spl0_192
| spl0_193
| spl0_190
| ~ spl0_22
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f8948,f7720,f370,f7870,f8056,f8052]) ).
thf(f9133,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_8
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f8951,f32]) ).
thf(f9135,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_8
| ~ spl0_176 ),
inference(forward_subsumption_resolution,[],[f8857,f32]) ).
thf(f9136,plain,
( ~ spl0_202
| ~ spl0_49
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f8829,f8530,f886,f8112]) ).
thf(f9139,plain,
( spl0_193
| spl0_191
| spl0_192
| ~ spl0_22
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f8875,f7713,f370,f8052,f7873,f8056]) ).
thf(f9141,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2542,f32]) ).
thf(f9151,plain,
( spl0_193
| spl0_191
| spl0_192
| ~ spl0_8
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f9124,f7720,f114,f8052,f7873,f8056]) ).
thf(f9157,plain,
( ~ spl0_197
| spl0_192
| ~ spl0_8
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f9133,f7720,f114,f8052,f8081]) ).
thf(f9158,plain,
( spl0_192
| spl0_190
| spl0_193
| ~ spl0_8
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f9135,f7713,f114,f8056,f7870,f8052]) ).
thf(f9160,definition,
( spl0_232
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
thf(f9161,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f9160]) ).
thf(f9162,plain,
( spl0_17
| spl0_232
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f9141,f114,f9160,f200]) ).
thf(f9167,definition,
( spl0_233
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).
thf(f9168,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_233 ),
inference(avatar_component_clause,[],[f9167]) ).
thf(f9173,plain,
( spl0_151
| spl0_215
| spl0_152
| spl0_28 ),
inference(avatar_split_clause,[],[f7693,f551,f6480,f8530,f6477]) ).
thf(f9190,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_3
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f9066,f55]) ).
thf(f9194,plain,
( ( $true != $true )
| ~ spl0_7
| ~ spl0_159
| ~ spl0_214 ),
inference(constrained_superposition,[],[f9022,f112]) ).
thf(f9205,plain,
( $false
| ~ spl0_7
| ~ spl0_159
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f9194]) ).
thf(f9206,plain,
( ~ spl0_7
| ~ spl0_159
| ~ spl0_214 ),
inference(avatar_contradiction_clause,[],[f9205]) ).
thf(f9210,plain,
( $false
| ~ spl0_3
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f6481,f55]) ).
thf(f9211,plain,
( ~ spl0_3
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[],[f9210]) ).
thf(f9219,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f29,f8113]) ).
thf(f9222,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f9219]) ).
thf(f9226,definition,
( spl0_235
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
thf(f9227,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f9226]) ).
thf(f9228,plain,
( spl0_156
| spl0_235
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f9222,f8112,f9226,f6522]) ).
thf(f9229,plain,
( ( $true != $true )
| ~ spl0_156
| ~ spl0_202 ),
inference(constrained_superposition,[],[f6523,f8113]) ).
thf(f9238,plain,
( $false
| ~ spl0_156
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f9229]) ).
thf(f9239,plain,
( ~ spl0_156
| ~ spl0_202 ),
inference(avatar_contradiction_clause,[],[f9238]) ).
thf(f9245,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_184 ),
inference(constrained_superposition,[],[f9190,f30]) ).
thf(f9247,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f9245]) ).
thf(f9250,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f9247,f55]) ).
thf(f9251,plain,
( $false
| ~ spl0_3
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f9250,f32]) ).
thf(f9252,plain,
( ~ spl0_3
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f9251]) ).
thf(f9427,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f7830]) ).
thf(f9431,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f9074]) ).
thf(f9440,definition,
( spl0_238
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
thf(f9441,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f9440]) ).
thf(f9481,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_152
| ~ spl0_160 ),
inference(constrained_superposition,[],[f6622,f6481]) ).
thf(f9485,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_152
| ~ spl0_160 ),
inference(trivial_inequality_removal,[],[f9481]) ).
thf(f9542,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_188 ),
inference(constrained_superposition,[],[f1997,f9427]) ).
thf(f9543,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_5
| ~ spl0_188 ),
inference(constrained_superposition,[],[f85,f9427]) ).
thf(f9544,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_188 ),
inference(constrained_superposition,[],[f81,f9427]) ).
thf(f9552,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_188 ),
inference(constrained_superposition,[],[f26,f9427]) ).
thf(f9556,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_8
| ~ spl0_188 ),
inference(constrained_superposition,[],[f2000,f9427]) ).
thf(f9557,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f9552]) ).
thf(f9559,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_8
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f9542]) ).
thf(f9564,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_8
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f9556]) ).
thf(f9569,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_5
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f9543]) ).
thf(f9570,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f9544]) ).
thf(f9575,plain,
( spl0_154
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f9557,f7830,f6487]) ).
thf(f9576,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_8
| spl0_29
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f9559,f8074]) ).
thf(f9579,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_8
| spl0_29
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f9564,f8074]) ).
thf(f9585,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_5
| spl0_29
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f9569,f8074]) ).
thf(f9586,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_29
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f9570,f8074]) ).
thf(f9590,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_8
| spl0_29
| ~ spl0_188
| spl0_193 ),
inference(forward_subsumption_resolution,[],[f9576,f8669]) ).
thf(f9593,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_8
| spl0_28
| spl0_29
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f9579,f7648]) ).
thf(f9595,plain,
( ~ spl0_197
| ~ spl0_5
| spl0_29
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f9585,f7830,f554,f84,f8081]) ).
thf(f9596,plain,
( spl0_238
| spl0_29
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f9586,f7830,f554,f9440]) ).
thf(f9598,plain,
( spl0_190
| ~ spl0_8
| spl0_29
| ~ spl0_188
| spl0_193 ),
inference(avatar_split_clause,[],[f9590,f8056,f7830,f554,f114,f7870]) ).
thf(f9602,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_8
| spl0_28
| spl0_29
| ~ spl0_188
| spl0_193 ),
inference(forward_subsumption_resolution,[],[f9593,f8669]) ).
thf(f9603,plain,
( spl0_190
| ~ spl0_8
| spl0_28
| spl0_29
| ~ spl0_188
| spl0_193 ),
inference(avatar_split_clause,[],[f9602,f8056,f7830,f554,f551,f114,f7870]) ).
thf(f9606,plain,
( ~ spl0_17
| ~ spl0_152
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f9485,f6621,f6480,f200]) ).
thf(f9687,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_233 ),
inference(constrained_superposition,[],[f9168,f37]) ).
thf(f9692,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_233 ),
inference(trivial_inequality_removal,[],[f9687]) ).
thf(f9696,plain,
( spl0_190
| spl0_187
| spl0_233 ),
inference(avatar_split_clause,[],[f9692,f9167,f7827,f7870]) ).
thf(f9722,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_204
| ~ spl0_235 ),
inference(constrained_superposition,[],[f9227,f8206]) ).
thf(f9723,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_159
| ~ spl0_235 ),
inference(constrained_superposition,[],[f9227,f6594]) ).
thf(f9725,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_159
| ~ spl0_235 ),
inference(trivial_inequality_removal,[],[f9723]) ).
thf(f9727,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_204
| ~ spl0_235 ),
inference(trivial_inequality_removal,[],[f9722]) ).
thf(f9729,plain,
( $false
| ~ spl0_6
| ~ spl0_159
| ~ spl0_235 ),
inference(forward_subsumption_resolution,[],[f9725,f88]) ).
thf(f9730,plain,
( ~ spl0_6
| ~ spl0_159
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f9729]) ).
thf(f9731,plain,
( $false
| ~ spl0_33
| ~ spl0_204
| ~ spl0_235 ),
inference(forward_subsumption_resolution,[],[f9727,f570]) ).
thf(f9732,plain,
( ~ spl0_33
| ~ spl0_204
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f9731]) ).
thf(f9738,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_177
| ~ spl0_214 ),
inference(constrained_superposition,[],[f8507,f7718]) ).
thf(f9745,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_177
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f9738]) ).
thf(f9755,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_81
| ~ spl0_215 ),
inference(constrained_superposition,[],[f2237,f8531]) ).
thf(f9757,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_81
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f9755]) ).
thf(f9758,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_81
| ~ spl0_193
| ~ spl0_215 ),
inference(constrained_superposition,[],[f9757,f8057]) ).
thf(f9765,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_81
| ~ spl0_193
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f9758]) ).
thf(f9773,plain,
( $false
| spl0_28
| ~ spl0_81
| ~ spl0_193
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[],[f9765,f7648]) ).
thf(f9774,plain,
( spl0_28
| ~ spl0_81
| ~ spl0_193
| ~ spl0_215 ),
inference(avatar_contradiction_clause,[],[f9773]) ).
thf(f9899,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_203
| ~ spl0_225 ),
inference(constrained_superposition,[],[f8999,f8180]) ).
thf(f9901,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X2 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f29,f8180]) ).
thf(f9908,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_203
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f9899]) ).
thf(f9910,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f9901]) ).
thf(f9914,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_33
| ~ spl0_203
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f9908,f570]) ).
thf(f9917,definition,
( spl0_243
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).
thf(f9918,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X2 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f9917]) ).
thf(f9919,plain,
( spl0_243
| spl0_39
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f9910,f8179,f625,f9917]) ).
thf(f9922,plain,
( spl0_190
| ~ spl0_33
| ~ spl0_203
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f9914,f8998,f8179,f569,f7870]) ).
thf(f9963,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_161 ),
inference(constrained_superposition,[],[f406,f6640]) ).
thf(f10060,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f9963,f27]) ).
thf(f10077,plain,
( $false
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f10060,f28]) ).
thf(f10078,plain,
~ spl0_161,
inference(avatar_contradiction_clause,[],[f10077]) ).
thf(f10174,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true ) )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f29,f1074]) ).
thf(f10177,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f10174]) ).
thf(f10211,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_57
| ~ spl0_215 ),
inference(constrained_superposition,[],[f10177,f8531]) ).
thf(f10215,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_57
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f10211]) ).
thf(f10391,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_49
| ~ spl0_174 ),
inference(constrained_superposition,[],[f887,f7658]) ).
thf(f10395,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_174
| ~ spl0_177
| ~ spl0_214 ),
inference(constrained_superposition,[],[f9745,f7658]) ).
thf(f10396,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_49
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f10391]) ).
thf(f10397,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_174
| ~ spl0_177
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f10395]) ).
thf(f10399,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_41
| ~ spl0_49
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f10396,f758]) ).
thf(f10400,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_174
| ~ spl0_177
| spl0_192
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f10397,f8896]) ).
thf(f10401,plain,
( spl0_191
| spl0_181
| ~ spl0_174
| ~ spl0_177
| spl0_192
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f10400,f8506,f8052,f7717,f7657,f7753,f7873]) ).
thf(f10412,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f405,f7754]) ).
thf(f10501,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f10412,f27]) ).
thf(f10514,plain,
( $false
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f10501,f28]) ).
thf(f10515,plain,
~ spl0_181,
inference(avatar_contradiction_clause,[],[f10514]) ).
thf(f10530,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_154
| ~ spl0_178 ),
inference(constrained_superposition,[],[f6488,f7721]) ).
thf(f10545,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f26,f7721]) ).
thf(f10556,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_154
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f10530]) ).
thf(f10559,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f10545]) ).
thf(f10584,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_154
| ~ spl0_178 ),
inference(constrained_superposition,[],[f10556,f405]) ).
thf(f10596,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_154
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f10584]) ).
thf(f10602,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f10559,f406]) ).
thf(f10603,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f10559,f74]) ).
thf(f10605,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f10603]) ).
thf(f10608,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f10602]) ).
thf(f10612,definition,
( spl0_249
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
thf(f10613,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f10612]) ).
thf(f10614,plain,
( spl0_249
| spl0_228
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f10605,f7720,f9081,f10612]) ).
thf(f10616,definition,
( spl0_250
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).
thf(f10617,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_250 ),
inference(avatar_component_clause,[],[f10616]) ).
thf(f10618,plain,
( spl0_250
| spl0_227
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f10608,f7720,f9077,f10616]) ).
thf(f10621,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_225
| ~ spl0_228 ),
inference(constrained_superposition,[],[f8999,f9082]) ).
thf(f10628,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_225
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f10621]) ).
thf(f10633,plain,
( $false
| ~ spl0_6
| ~ spl0_225
| ~ spl0_228 ),
inference(forward_subsumption_resolution,[],[f10628,f88]) ).
thf(f10634,plain,
( ~ spl0_6
| ~ spl0_225
| ~ spl0_228 ),
inference(avatar_contradiction_clause,[],[f10633]) ).
thf(f10640,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_249 ),
inference(constrained_superposition,[],[f10613,f406]) ).
thf(f10648,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f10640]) ).
thf(f10649,plain,
( spl0_227
| ~ spl0_26
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f10648,f10612,f544,f9077]) ).
thf(f10711,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_41
| ~ spl0_49
| ~ spl0_174
| ~ spl0_195 ),
inference(constrained_superposition,[],[f10399,f8066]) ).
thf(f10714,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_41
| ~ spl0_49
| ~ spl0_174
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f10711]) ).
thf(f10715,plain,
( spl0_181
| spl0_191
| ~ spl0_41
| ~ spl0_49
| ~ spl0_174
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f10714,f8065,f7657,f886,f757,f7873,f7753]) ).
thf(f10722,plain,
( ~ spl0_226
| spl0_187
| ~ spl0_154
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f10596,f7720,f6487,f7827,f9074]) ).
thf(f10725,definition,
( spl0_254
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).
thf(f10726,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f10725]) ).
thf(f10740,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_2
| ~ spl0_214 ),
inference(constrained_superposition,[],[f8507,f49]) ).
thf(f10745,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_2
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f10740]) ).
thf(f10752,plain,
( $false
| ~ spl0_2
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f10745,f49]) ).
thf(f10753,plain,
( ~ spl0_2
| ~ spl0_214 ),
inference(avatar_contradiction_clause,[],[f10752]) ).
thf(f10766,plain,
( ( $true != $true )
| ~ spl0_10
| ~ spl0_159 ),
inference(constrained_superposition,[],[f126,f6594]) ).
thf(f10767,plain,
( ( $true != $true )
| ~ spl0_10
| ~ spl0_228 ),
inference(constrained_superposition,[],[f126,f9082]) ).
thf(f10769,plain,
( $false
| ~ spl0_10
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f10766]) ).
thf(f10770,plain,
( ~ spl0_10
| ~ spl0_159 ),
inference(avatar_contradiction_clause,[],[f10769]) ).
thf(f10771,plain,
( $false
| ~ spl0_10
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f10767]) ).
thf(f10772,plain,
( ~ spl0_10
| ~ spl0_228 ),
inference(avatar_contradiction_clause,[],[f10771]) ).
thf(f10774,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_229 ),
inference(forward_subsumption_resolution,[],[f9091,f32]) ).
thf(f10780,plain,
( $false
| ~ spl0_10
| spl0_229 ),
inference(forward_subsumption_resolution,[],[f10774,f126]) ).
thf(f10781,plain,
( ~ spl0_10
| spl0_229 ),
inference(avatar_contradiction_clause,[],[f10780]) ).
thf(f10795,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_57
| ~ spl0_193
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[],[f10215,f8057]) ).
thf(f10813,plain,
( spl0_88
| spl0_39
| ~ spl0_57
| ~ spl0_193
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f10795,f8530,f8056,f1073,f625,f2486]) ).
thf(f10830,plain,
( ( $true != $true )
| ~ spl0_33
| ~ spl0_39 ),
inference(constrained_superposition,[],[f626,f570]) ).
thf(f10843,plain,
( $false
| ~ spl0_33
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f10830]) ).
thf(f10844,plain,
( ~ spl0_33
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f10843]) ).
thf(f10869,plain,
( ( $true != $true )
| ~ spl0_156
| ~ spl0_215 ),
inference(constrained_superposition,[],[f6523,f8531]) ).
thf(f10876,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_156
| ~ spl0_174 ),
inference(constrained_superposition,[],[f6523,f7658]) ).
thf(f10879,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_156
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f10876]) ).
thf(f10881,plain,
( $false
| ~ spl0_156
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f10869]) ).
thf(f10882,plain,
( ~ spl0_156
| ~ spl0_215 ),
inference(avatar_contradiction_clause,[],[f10881]) ).
thf(f10888,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_156
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f10879,f6523]) ).
thf(f10894,plain,
( spl0_190
| spl0_161
| ~ spl0_156
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f10888,f7657,f6522,f6639,f7870]) ).
thf(f10928,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_174
| ~ spl0_180 ),
inference(constrained_superposition,[],[f7751,f7658]) ).
thf(f10931,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_174
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f10928]) ).
thf(f10938,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_174
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f10931,f7751]) ).
thf(f10943,plain,
( spl0_181
| spl0_191
| ~ spl0_174
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f10938,f7750,f7657,f7873,f7753]) ).
thf(f10982,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_192
| ~ spl0_232 ),
inference(constrained_superposition,[],[f8896,f9161]) ).
thf(f10993,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_192
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f10982]) ).
thf(f10999,plain,
( spl0_195
| spl0_191
| spl0_192
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f10993,f9160,f8052,f7873,f8065]) ).
thf(f11052,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f66,f9431]) ).
thf(f11065,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f11052]) ).
thf(f11083,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_202
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f11065,f8671]) ).
thf(f11090,plain,
( spl0_238
| spl0_202
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f11083,f9074,f8112,f9440]) ).
thf(f11113,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f6478,f74]) ).
thf(f11116,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f11113]) ).
thf(f11171,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_2
| ~ spl0_160 ),
inference(constrained_superposition,[],[f6622,f49]) ).
thf(f11172,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_2
| ~ spl0_160 ),
inference(trivial_inequality_removal,[],[f11171]) ).
thf(f11176,plain,
( $false
| ~ spl0_2
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f11172,f49]) ).
thf(f11177,plain,
( ~ spl0_2
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f11176]) ).
thf(f11179,plain,
( spl0_159
| ~ spl0_19
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f11116,f6477,f290,f6593]) ).
thf(f11208,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_46 ),
inference(constrained_superposition,[],[f859,f30]) ).
thf(f11210,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_46 ),
inference(trivial_inequality_removal,[],[f11208]) ).
thf(f11213,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_28
| spl0_46 ),
inference(forward_subsumption_resolution,[],[f11210,f7648]) ).
thf(f11214,plain,
( spl0_80
| spl0_28
| spl0_46 ),
inference(avatar_split_clause,[],[f11213,f858,f551,f2148]) ).
thf(f11249,plain,
( $false
| ~ spl0_87
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f8053,f2484]) ).
thf(f11250,plain,
( ~ spl0_87
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f11249]) ).
thf(f11274,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_226 ),
inference(constrained_superposition,[],[f9075,f30]) ).
thf(f11278,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_226 ),
inference(trivial_inequality_removal,[],[f11274]) ).
thf(f11279,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_49
| ~ spl0_174 ),
inference(constrained_superposition,[],[f887,f7658]) ).
thf(f11282,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_49
| ~ spl0_80 ),
inference(constrained_superposition,[],[f887,f2149]) ).
thf(f11287,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_49
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f11279]) ).
thf(f11288,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_49
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f11282]) ).
thf(f11289,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_41
| ~ spl0_49
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f11287,f758]) ).
thf(f11290,plain,
( $false
| ~ spl0_6
| ~ spl0_49
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f11288,f88]) ).
thf(f11291,plain,
( ~ spl0_6
| ~ spl0_49
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f11290]) ).
thf(f11313,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f46,f30]) ).
thf(f11315,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f11313]) ).
thf(f11373,plain,
( spl0_161
| spl0_204
| spl0_226 ),
inference(avatar_split_clause,[],[f11278,f9074,f8205,f6639]) ).
thf(f11390,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_254 ),
inference(constrained_superposition,[],[f10726,f74]) ).
thf(f11393,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f11390]) ).
thf(f11398,plain,
( ~ spl0_26
| spl0_159
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f11393,f10725,f6593,f544]) ).
thf(f11411,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_175
| ~ spl0_216 ),
inference(constrained_superposition,[],[f8554,f7711]) ).
thf(f11412,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_175
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f11411]) ).
thf(f11419,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_238 ),
inference(constrained_superposition,[],[f9441,f74]) ).
thf(f11421,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f11419]) ).
thf(f11426,plain,
( spl0_159
| ~ spl0_46
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f11421,f9440,f858,f6593]) ).
thf(f11444,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_175
| ~ spl0_220 ),
inference(constrained_superposition,[],[f8808,f7711]) ).
thf(f11446,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_175
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f11444]) ).
thf(f11447,plain,
( $false
| ~ spl0_175
| ~ spl0_215
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f11446,f8531]) ).
thf(f11448,plain,
( ~ spl0_175
| ~ spl0_215
| ~ spl0_220 ),
inference(avatar_contradiction_clause,[],[f11447]) ).
thf(f11546,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_154 ),
inference(constrained_superposition,[],[f6488,f74]) ).
thf(f11550,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f11546]) ).
thf(f11569,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( z = X1 )
| ( ( r @ X0 @ z )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f11315,f30]) ).
thf(f11572,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f11569]) ).
thf(f11575,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f11572,f73]) ).
thf(f11577,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f11572,f405]) ).
thf(f11580,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f11575]) ).
thf(f11585,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f11577]) ).
thf(f11619,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( z
= ( s @ X1 ) )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f2028,f37]) ).
thf(f11620,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f2028,f73]) ).
thf(f11628,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z
= ( s @ X1 ) )
| ( X0 = X1 ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f11619]) ).
thf(f11632,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f11620]) ).
thf(f11634,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f11628,f32]) ).
thf(f11957,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_28
| ~ spl0_78 ),
inference(extensionality_resolution,[],[f11634,f7648]) ).
thf(f11958,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_28
| ~ spl0_78 ),
inference(extensionality_resolution,[],[f11634,f7648]) ).
thf(f12265,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ z ) )
| spl0_190 ),
inference(avatar_component_clause,[],[f7870]) ).
thf(f12289,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_161 ),
inference(avatar_component_clause,[],[f6639]) ).
thf(f12346,plain,
( ~ spl0_193
| ~ spl0_175
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f11412,f8553,f7710,f8056]) ).
thf(f12349,definition,
( spl0_276
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
thf(f12350,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f12349]) ).
thf(f12352,plain,
( spl0_158
| spl0_159
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f11550,f6487,f6593,f6590]) ).
thf(f12358,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_78
| spl0_190 ),
inference(extensionality_resolution,[],[f11634,f12265]) ).
thf(f12366,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_190 ),
inference(extensionality_resolution,[],[f71,f12265]) ).
thf(f12367,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_190 ),
inference(extensionality_resolution,[],[f71,f12265]) ).
thf(f12369,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| spl0_190 ),
inference(extensionality_resolution,[],[f41,f12265]) ).
thf(f12375,definition,
( spl0_278
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
thf(f12376,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f12375]) ).
thf(f12378,definition,
( spl0_279
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).
thf(f12379,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f12378]) ).
thf(f12380,plain,
( spl0_278
| spl0_279
| spl0_190 ),
inference(avatar_split_clause,[],[f12366,f7870,f12378,f12375]) ).
thf(f12383,definition,
( spl0_280
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_280])],[avatar_definition]) ).
thf(f12384,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_280 ),
inference(avatar_component_clause,[],[f12383]) ).
thf(f12386,definition,
( spl0_281
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_281])],[avatar_definition]) ).
thf(f12387,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_281 ),
inference(avatar_component_clause,[],[f12386]) ).
thf(f12388,plain,
( spl0_280
| spl0_281
| spl0_190 ),
inference(avatar_split_clause,[],[f12367,f7870,f12386,f12383]) ).
thf(f12389,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_78
| spl0_161 ),
inference(extensionality_resolution,[],[f11634,f12289]) ).
thf(f12390,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_78
| spl0_161 ),
inference(extensionality_resolution,[],[f11634,f12289]) ).
thf(f12393,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_161 ),
inference(extensionality_resolution,[],[f4530,f12289]) ).
thf(f12395,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| spl0_161 ),
inference(extensionality_resolution,[],[f77,f12289]) ).
thf(f12398,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_161 ),
inference(extensionality_resolution,[],[f71,f12289]) ).
thf(f12401,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_161 ),
inference(extensionality_resolution,[],[f37,f12289]) ).
thf(f12402,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_161 ),
inference(extensionality_resolution,[],[f37,f12289]) ).
thf(f12407,definition,
( spl0_282
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_282])],[avatar_definition]) ).
thf(f12408,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_282 ),
inference(avatar_component_clause,[],[f12407]) ).
thf(f12410,definition,
( spl0_283
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).
thf(f12411,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_283 ),
inference(avatar_component_clause,[],[f12410]) ).
thf(f12412,plain,
( spl0_282
| spl0_283
| spl0_161 ),
inference(avatar_split_clause,[],[f12398,f6639,f12410,f12407]) ).
thf(f12500,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_154
| ~ spl0_226 ),
inference(constrained_superposition,[],[f6488,f9431]) ).
thf(f12540,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_154
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f12500]) ).
thf(f12549,plain,
( spl0_254
| ~ spl0_154
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f12540,f9074,f6487,f10725]) ).
thf(f12556,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f6478,f406]) ).
thf(f12562,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f12556]) ).
thf(f12616,definition,
( spl0_286
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).
thf(f12617,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f12616]) ).
thf(f12626,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_151
| ~ spl0_279 ),
inference(constrained_superposition,[],[f6478,f12379]) ).
thf(f12661,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_151
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f12626]) ).
thf(f12683,definition,
( spl0_289
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).
thf(f12684,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_289 ),
inference(avatar_component_clause,[],[f12683]) ).
thf(f12686,plain,
( ~ spl0_289
| ~ spl0_151
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f12661,f12378,f6477,f12683]) ).
thf(f12689,definition,
( spl0_290
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).
thf(f12690,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_290 ),
inference(avatar_component_clause,[],[f12689]) ).
thf(f12717,definition,
( spl0_292
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
thf(f12718,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f12717]) ).
thf(f12815,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_179
| ~ spl0_282 ),
inference(constrained_superposition,[],[f7746,f12408]) ).
thf(f12818,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_179
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f12815]) ).
thf(f12823,plain,
( $false
| ~ spl0_179
| ~ spl0_278
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f12818,f12376]) ).
thf(f12824,plain,
( ~ spl0_179
| ~ spl0_278
| ~ spl0_282 ),
inference(avatar_contradiction_clause,[],[f12823]) ).
thf(f12825,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_289 ),
inference(constrained_superposition,[],[f12684,f36]) ).
thf(f12828,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_289 ),
inference(trivial_inequality_removal,[],[f12825]) ).
thf(f12832,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_41
| ~ spl0_49
| ~ spl0_174
| spl0_289 ),
inference(constrained_superposition,[],[f11289,f12828]) ).
thf(f12834,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_41
| ~ spl0_49
| ~ spl0_174
| spl0_289 ),
inference(trivial_inequality_removal,[],[f12832]) ).
thf(f12839,definition,
( spl0_297
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_297])],[avatar_definition]) ).
thf(f12840,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f12839]) ).
thf(f12841,plain,
( spl0_292
| spl0_297
| ~ spl0_41
| ~ spl0_49
| ~ spl0_174
| spl0_289 ),
inference(avatar_split_clause,[],[f12834,f12683,f7657,f886,f757,f12839,f12717]) ).
thf(f12843,definition,
( spl0_298
<=> ! [X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
thf(f12844,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f12843]) ).
thf(f12860,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f73,f12718]) ).
thf(f12931,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f12860,f28]) ).
thf(f12949,plain,
( $false
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f12931,f27]) ).
thf(f12950,plain,
~ spl0_292,
inference(avatar_contradiction_clause,[],[f12949]) ).
thf(f12965,definition,
( spl0_299
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_299])],[avatar_definition]) ).
thf(f12966,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_299 ),
inference(avatar_component_clause,[],[f12965]) ).
thf(f12971,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_49
| ~ spl0_299 ),
inference(constrained_superposition,[],[f887,f12966]) ).
thf(f12974,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_49
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f12971]) ).
thf(f12976,definition,
( spl0_300
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
thf(f12977,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f12976]) ).
thf(f12993,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_160
| ~ spl0_278 ),
inference(constrained_superposition,[],[f6622,f12376]) ).
thf(f12996,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_160
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f12993]) ).
thf(f13025,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_22
| ~ spl0_283 ),
inference(constrained_superposition,[],[f371,f12411]) ).
thf(f13027,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_78
| ~ spl0_283 ),
inference(constrained_superposition,[],[f2028,f12411]) ).
thf(f13039,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_14
| ~ spl0_283 ),
inference(constrained_superposition,[],[f185,f12411]) ).
thf(f13051,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_78
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f13027]) ).
thf(f13056,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_22
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f13025]) ).
thf(f13069,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_14
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f13039]) ).
thf(f13074,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_49
| ~ spl0_78
| ~ spl0_283
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f13051,f12974]) ).
thf(f13081,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_22
| spl0_192
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f13056,f8896]) ).
thf(f13095,plain,
( ~ spl0_289
| spl0_195
| ~ spl0_14
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f13069,f12410,f184,f8065,f12683]) ).
thf(f13098,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_49
| ~ spl0_78
| ~ spl0_283
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f13074,f32]) ).
thf(f13100,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_22
| ~ spl0_160
| spl0_192
| ~ spl0_278
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f13081,f12996]) ).
thf(f13107,plain,
( spl0_195
| ~ spl0_49
| ~ spl0_78
| ~ spl0_283
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f13098,f12965,f12410,f2027,f886,f8065]) ).
thf(f13108,plain,
( spl0_191
| ~ spl0_22
| ~ spl0_160
| spl0_192
| ~ spl0_278
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f13100,f12410,f12375,f8052,f6621,f370,f7873]) ).
thf(f13118,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_297 ),
inference(constrained_superposition,[],[f405,f12840]) ).
thf(f13193,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_297 ),
inference(forward_subsumption_resolution,[],[f13118,f28]) ).
thf(f13206,plain,
( $false
| ~ spl0_297 ),
inference(forward_subsumption_resolution,[],[f13193,f27]) ).
thf(f13207,plain,
~ spl0_297,
inference(avatar_contradiction_clause,[],[f13206]) ).
thf(f13209,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_28
| ~ spl0_78
| spl0_202 ),
inference(forward_subsumption_resolution,[],[f11957,f8671]) ).
thf(f13213,plain,
( spl0_33
| spl0_51 ),
inference(avatar_split_clause,[],[f8519,f1015,f569]) ).
thf(f13215,plain,
( spl0_187
| spl0_195
| spl0_33
| ~ spl0_78
| spl0_190 ),
inference(avatar_split_clause,[],[f12358,f7870,f2027,f569,f8065,f7827]) ).
thf(f13216,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f11585,f32]) ).
thf(f13222,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_28
| ~ spl0_78
| spl0_202 ),
inference(forward_subsumption_resolution,[],[f11958,f8671]) ).
thf(f13223,plain,
( spl0_215
| spl0_33
| spl0_28
| ~ spl0_78
| spl0_202 ),
inference(avatar_split_clause,[],[f13209,f8112,f2027,f551,f569,f8530]) ).
thf(f13229,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f13216,f32]) ).
thf(f13231,plain,
( spl0_33
| spl0_204
| spl0_28
| ~ spl0_78
| spl0_202 ),
inference(avatar_split_clause,[],[f13222,f8112,f2027,f551,f8205,f569]) ).
thf(f13232,plain,
( spl0_35
| spl0_33
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f13229,f45,f569,f581]) ).
thf(f13238,plain,
( spl0_204
| ~ spl0_51
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f12562,f6477,f1015,f8205]) ).
thf(f13250,plain,
( spl0_178
| spl0_177
| spl0_161 ),
inference(avatar_split_clause,[],[f12402,f6639,f7717,f7720]) ).
thf(f13251,plain,
( spl0_176
| spl0_175
| spl0_161 ),
inference(avatar_split_clause,[],[f12401,f6639,f7710,f7713]) ).
thf(f13288,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f29,f8066]) ).
thf(f13290,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f13288]) ).
thf(f13293,plain,
( spl0_225
| spl0_180
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f13290,f8065,f7750,f8998]) ).
thf(f13317,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_188 ),
inference(constrained_superposition,[],[f7831,f30]) ).
thf(f13319,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_188 ),
inference(trivial_inequality_removal,[],[f13317]) ).
thf(f13323,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_161
| spl0_188 ),
inference(forward_subsumption_resolution,[],[f13319,f12289]) ).
thf(f13325,plain,
( spl0_215
| spl0_161
| spl0_188 ),
inference(avatar_split_clause,[],[f13323,f7830,f6639,f8530]) ).
thf(f13395,plain,
( spl0_80
| spl0_8
| spl0_28 ),
inference(avatar_split_clause,[],[f7704,f551,f114,f2148]) ).
thf(f13397,plain,
( spl0_8
| spl0_159
| spl0_190 ),
inference(avatar_split_clause,[],[f12369,f7870,f6593,f114]) ).
thf(f13399,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f4519,f111,f114]) ).
thf(f13400,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_41
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f763,f758]) ).
thf(f13401,plain,
( spl0_126
| ~ spl0_41
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f13400,f762,f757,f4403]) ).
thf(f13403,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_126
| ~ spl0_193 ),
inference(constrained_superposition,[],[f4404,f8057]) ).
thf(f13408,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_126
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f13403]) ).
thf(f13410,plain,
( $false
| spl0_28
| ~ spl0_126
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f13408,f7648]) ).
thf(f13411,plain,
( spl0_28
| ~ spl0_126
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f13410]) ).
thf(f13596,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_78
| ~ spl0_160 ),
inference(constrained_superposition,[],[f6622,f11634]) ).
thf(f13597,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_160
| ~ spl0_204 ),
inference(constrained_superposition,[],[f6622,f8206]) ).
thf(f13602,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_160
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f13597]) ).
thf(f13604,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_78
| ~ spl0_160 ),
inference(trivial_inequality_removal,[],[f13596]) ).
thf(f13607,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_41
| ~ spl0_78
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f13604,f758]) ).
thf(f13608,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_41
| ~ spl0_78
| ~ spl0_160
| spl0_202 ),
inference(forward_subsumption_resolution,[],[f13607,f8671]) ).
thf(f13676,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_78
| ~ spl0_214 ),
inference(constrained_superposition,[],[f8507,f11634]) ).
thf(f13678,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_159
| ~ spl0_214 ),
inference(constrained_superposition,[],[f8507,f6594]) ).
thf(f13679,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_159
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f13678]) ).
thf(f13684,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_78
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f13676]) ).
thf(f13688,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_159
| ~ spl0_214 ),
inference(constrained_superposition,[],[f13679,f445]) ).
thf(f13690,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( s @ z )
= X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_159
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f13688]) ).
thf(f13691,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true ) )
| spl0_28
| ~ spl0_159
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f13690,f7648]) ).
thf(f13692,plain,
( spl0_37
| spl0_28
| ~ spl0_159
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f13691,f8506,f6593,f551,f604]) ).
thf(f13716,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_249
| ~ spl0_283 ),
inference(constrained_superposition,[],[f10613,f12411]) ).
thf(f13737,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_249
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f13716]) ).
thf(f13753,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_249
| ~ spl0_283 ),
inference(constrained_superposition,[],[f13737,f37]) ).
thf(f13757,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_249
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f13753]) ).
thf(f13759,definition,
( spl0_309
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).
thf(f13760,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f13759]) ).
thf(f13762,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_249
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f13757,f32]) ).
thf(f13763,plain,
( spl0_309
| ~ spl0_249
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f13762,f12410,f10612,f13759]) ).
thf(f13764,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_41
| ~ spl0_78
| ~ spl0_160
| spl0_202
| ~ spl0_309 ),
inference(constrained_superposition,[],[f13608,f13760]) ).
thf(f13769,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_41
| ~ spl0_78
| ~ spl0_160
| spl0_202
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f13764]) ).
thf(f13771,definition,
( spl0_310
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).
thf(f13772,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f13771]) ).
thf(f13776,plain,
( spl0_181
| ~ spl0_41
| ~ spl0_78
| ~ spl0_160
| spl0_202
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f13769,f13759,f8112,f6621,f2027,f757,f7753]) ).
thf(f13777,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_225
| ~ spl0_282 ),
inference(constrained_superposition,[],[f8999,f12408]) ).
thf(f13779,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_225
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f13777]) ).
thf(f13795,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_214
| ~ spl0_278 ),
inference(constrained_superposition,[],[f8507,f12376]) ).
thf(f13800,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_214
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f13795]) ).
thf(f13802,plain,
( $false
| ~ spl0_214
| ~ spl0_278
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f13800,f12966]) ).
thf(f13803,plain,
( ~ spl0_214
| ~ spl0_278
| ~ spl0_299 ),
inference(avatar_contradiction_clause,[],[f13802]) ).
thf(f13809,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_78
| ~ spl0_214
| ~ spl0_278 ),
inference(constrained_superposition,[],[f13800,f11634]) ).
thf(f13812,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_78
| ~ spl0_214
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f13809]) ).
thf(f13814,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_33
| ~ spl0_78
| ~ spl0_214
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f13812,f8095]) ).
thf(f13815,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_33
| ~ spl0_78
| ~ spl0_214
| ~ spl0_225
| ~ spl0_278
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f13814,f13779]) ).
thf(f13816,plain,
( spl0_191
| spl0_33
| ~ spl0_78
| ~ spl0_214
| ~ spl0_225
| ~ spl0_278
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f13815,f12407,f12375,f8998,f8506,f2027,f569,f7873]) ).
thf(f13817,plain,
( ~ spl0_29
| ~ spl0_160
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f13602,f8205,f6621,f554]) ).
thf(f13823,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_26 ),
inference(constrained_superposition,[],[f545,f30]) ).
thf(f13824,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_26 ),
inference(trivial_inequality_removal,[],[f13823]) ).
thf(f13827,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_26
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f13824,f7648]) ).
thf(f13829,plain,
( spl0_29
| spl0_26
| spl0_28 ),
inference(avatar_split_clause,[],[f13827,f551,f544,f554]) ).
thf(f13878,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f29,f7711]) ).
thf(f13879,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f13878]) ).
thf(f13881,plain,
( spl0_156
| spl0_179
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f13879,f7710,f7745,f6522]) ).
thf(f13882,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_177
| ~ spl0_214 ),
inference(constrained_superposition,[],[f8507,f7718]) ).
thf(f13883,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f29,f7718]) ).
thf(f13884,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f13883]) ).
thf(f13885,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_177
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f13882]) ).
thf(f13886,plain,
( spl0_179
| spl0_180
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f13884,f7717,f7750,f7745]) ).
thf(f13905,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_158
| ~ spl0_279 ),
inference(constrained_superposition,[],[f6591,f12379]) ).
thf(f13909,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_24
| ~ spl0_279 ),
inference(constrained_superposition,[],[f538,f12379]) ).
thf(f13916,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_14
| ~ spl0_279 ),
inference(constrained_superposition,[],[f185,f12379]) ).
thf(f13922,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_279 ),
inference(constrained_superposition,[],[f11572,f12379]) ).
thf(f13924,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_158
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f13905]) ).
thf(f13935,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_24
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f13909]) ).
thf(f13937,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f13922]) ).
thf(f13939,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_14
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f13916]) ).
thf(f13958,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_158
| ~ spl0_279 ),
inference(constrained_superposition,[],[f13924,f74]) ).
thf(f13962,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_158
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f13958]) ).
thf(f13965,definition,
( spl0_311
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).
thf(f13966,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f13965]) ).
thf(f13968,plain,
( spl0_311
| ~ spl0_158
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f13962,f12378,f6590,f13965]) ).
thf(f13970,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_298
| ~ spl0_311 ),
inference(constrained_superposition,[],[f12844,f13966]) ).
thf(f13972,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_298
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f13970]) ).
thf(f13974,plain,
( $false
| ~ spl0_6
| ~ spl0_298
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[],[f13972,f88]) ).
thf(f13975,plain,
( ~ spl0_6
| ~ spl0_298
| ~ spl0_311 ),
inference(avatar_contradiction_clause,[],[f13974]) ).
thf(f14008,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_24
| ~ spl0_283 ),
inference(constrained_superposition,[],[f538,f12411]) ).
thf(f14030,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_24
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f14008]) ).
thf(f14039,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_24
| ~ spl0_177
| ~ spl0_214
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f14030,f13885]) ).
thf(f14044,plain,
( ~ spl0_290
| ~ spl0_24
| ~ spl0_177
| ~ spl0_214
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f14039,f12410,f8506,f7717,f537,f12689]) ).
thf(f14148,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_78
| ~ spl0_310 ),
inference(constrained_superposition,[],[f13772,f11634]) ).
thf(f14151,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_78
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f14148]) ).
thf(f14156,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_78
| ~ spl0_179 ),
inference(constrained_superposition,[],[f7746,f11634]) ).
thf(f14162,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_78
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f14156]) ).
thf(f14169,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_280
| ~ spl0_300 ),
inference(constrained_superposition,[],[f12977,f12384]) ).
thf(f14173,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_280
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f14169]) ).
thf(f14175,plain,
( $false
| ~ spl0_215
| ~ spl0_280
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f14173,f8531]) ).
thf(f14176,plain,
( ~ spl0_215
| ~ spl0_280
| ~ spl0_300 ),
inference(avatar_contradiction_clause,[],[f14175]) ).
thf(f14187,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_281 ),
inference(constrained_superposition,[],[f26,f12387]) ).
thf(f14195,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_281 ),
inference(trivial_inequality_removal,[],[f14187]) ).
thf(f14208,plain,
( spl0_154
| ~ spl0_281 ),
inference(avatar_split_clause,[],[f14195,f12386,f6487]) ).
thf(f14221,plain,
( $false
| ~ spl0_177
| ~ spl0_187
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f7828,f13885]) ).
thf(f14222,plain,
( ~ spl0_177
| ~ spl0_187
| ~ spl0_214 ),
inference(avatar_contradiction_clause,[],[f14221]) ).
thf(f14225,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_41
| ~ spl0_78
| ~ spl0_310 ),
inference(forward_subsumption_resolution,[],[f14151,f758]) ).
thf(f14226,plain,
( ~ spl0_289
| spl0_202
| ~ spl0_14
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f13939,f12378,f184,f8112,f12683]) ).
thf(f14231,definition,
( spl0_318
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_318])],[avatar_definition]) ).
thf(f14232,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f14231]) ).
thf(f14233,plain,
( spl0_318
| spl0_202
| ~ spl0_78
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f13684,f8506,f2027,f8112,f14231]) ).
thf(f14235,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f13937,f32]) ).
thf(f14238,definition,
( spl0_319
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_319])],[avatar_definition]) ).
thf(f14239,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f14238]) ).
thf(f14241,definition,
( spl0_320
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_320])],[avatar_definition]) ).
thf(f14242,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_320 ),
inference(avatar_component_clause,[],[f14241]) ).
thf(f14243,plain,
( spl0_319
| spl0_320
| ~ spl0_41
| ~ spl0_78
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f14225,f13771,f2027,f757,f14241,f14238]) ).
thf(f14245,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f14235,f32]) ).
thf(f14246,plain,
( spl0_202
| spl0_320
| ~ spl0_1
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f14245,f12378,f45,f14241,f8112]) ).
thf(f14254,plain,
( ( $true != $true )
| ~ spl0_180
| ~ spl0_195 ),
inference(constrained_superposition,[],[f7751,f8066]) ).
thf(f14257,plain,
( ( $true != $true )
| ~ spl0_177
| ~ spl0_180 ),
inference(constrained_superposition,[],[f7751,f7718]) ).
thf(f14268,plain,
( $false
| ~ spl0_180
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f14254]) ).
thf(f14269,plain,
( ~ spl0_180
| ~ spl0_195 ),
inference(avatar_contradiction_clause,[],[f14268]) ).
thf(f14270,plain,
( $false
| ~ spl0_177
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f14257]) ).
thf(f14271,plain,
( ~ spl0_177
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f14270]) ).
thf(f14287,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_177
| ~ spl0_235 ),
inference(constrained_superposition,[],[f9227,f7718]) ).
thf(f14290,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_177
| ~ spl0_235 ),
inference(trivial_inequality_removal,[],[f14287]) ).
thf(f14292,plain,
( $false
| ~ spl0_177
| ~ spl0_195
| ~ spl0_235 ),
inference(forward_subsumption_resolution,[],[f14290,f8066]) ).
thf(f14293,plain,
( ~ spl0_177
| ~ spl0_195
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f14292]) ).
thf(f14294,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_78
| ~ spl0_179
| ~ spl0_235 ),
inference(forward_subsumption_resolution,[],[f14162,f9227]) ).
thf(f14296,plain,
( ~ spl0_290
| spl0_215
| ~ spl0_24
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f13935,f12378,f537,f8530,f12689]) ).
thf(f14298,definition,
( spl0_321
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_321])],[avatar_definition]) ).
thf(f14299,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_321 ),
inference(avatar_component_clause,[],[f14298]) ).
thf(f14300,plain,
( spl0_321
| spl0_195
| ~ spl0_78
| ~ spl0_179
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f14294,f9226,f7745,f2027,f8065,f14298]) ).
thf(f14436,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_319 ),
inference(constrained_superposition,[],[f14239,f555]) ).
thf(f14440,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_29
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f14436]) ).
thf(f14441,plain,
( spl0_191
| ~ spl0_29
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f14440,f14238,f554,f7873]) ).
thf(f14448,plain,
( ( $true != $true )
| ~ spl0_286
| ~ spl0_320 ),
inference(constrained_superposition,[],[f12617,f14242]) ).
thf(f14458,plain,
( $false
| ~ spl0_286
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f14448]) ).
thf(f14459,plain,
( ~ spl0_286
| ~ spl0_320 ),
inference(avatar_contradiction_clause,[],[f14458]) ).
thf(f14464,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_289 ),
inference(constrained_superposition,[],[f12684,f36]) ).
thf(f14466,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_289 ),
inference(trivial_inequality_removal,[],[f14464]) ).
thf(f14511,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_278
| ~ spl0_321 ),
inference(constrained_superposition,[],[f14299,f12376]) ).
thf(f14512,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_235
| ~ spl0_278 ),
inference(constrained_superposition,[],[f9227,f12376]) ).
thf(f14515,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_278
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f14511]) ).
thf(f14516,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_235
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f14512]) ).
thf(f14518,plain,
( spl0_276
| ~ spl0_278
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f14515,f14298,f12375,f12349]) ).
thf(f14519,plain,
( $false
| ~ spl0_235
| ~ spl0_278
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f14516,f14242]) ).
thf(f14520,plain,
( ~ spl0_235
| ~ spl0_278
| ~ spl0_320 ),
inference(avatar_contradiction_clause,[],[f14519]) ).
thf(f14521,plain,
( spl0_320
| spl0_289 ),
inference(avatar_split_clause,[],[f14466,f12683,f14241]) ).
thf(f14523,plain,
( spl0_175
| spl0_154
| spl0_161 ),
inference(avatar_split_clause,[],[f12395,f6639,f6487,f7710]) ).
thf(f14525,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_29
| ~ spl0_78 ),
inference(constrained_superposition,[],[f8074,f11634]) ).
thf(f14527,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ z ) )
| spl0_29
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f14525]) ).
thf(f14536,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_187
| ~ spl0_276 ),
inference(constrained_superposition,[],[f7828,f12350]) ).
thf(f14586,plain,
( spl0_215
| ~ spl0_187
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f14536,f12349,f7827,f8530]) ).
thf(f14693,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_24
| ~ spl0_176 ),
inference(constrained_superposition,[],[f538,f7714]) ).
thf(f14720,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_24
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f14693]) ).
thf(f14827,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_214
| ~ spl0_278 ),
inference(constrained_superposition,[],[f8507,f12376]) ).
thf(f14833,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_214
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f14827]) ).
thf(f14835,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_78
| ~ spl0_214
| ~ spl0_278 ),
inference(constrained_superposition,[],[f14833,f11634]) ).
thf(f14838,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_78
| ~ spl0_214
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f14835]) ).
thf(f14840,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_33
| ~ spl0_78
| ~ spl0_214
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f14838,f8095]) ).
thf(f14841,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_33
| ~ spl0_78
| ~ spl0_214
| ~ spl0_235
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f14840,f14516]) ).
thf(f14842,plain,
( spl0_191
| spl0_33
| ~ spl0_78
| ~ spl0_214
| ~ spl0_235
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f14841,f12375,f9226,f8506,f2027,f569,f7873]) ).
thf(f14849,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_192
| ~ spl0_319 ),
inference(constrained_superposition,[],[f14239,f8053]) ).
thf(f14852,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_192
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f14849]) ).
thf(f14854,plain,
( spl0_276
| ~ spl0_192
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f14852,f14238,f8052,f12349]) ).
thf(f14858,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_192
| ~ spl0_276 ),
inference(constrained_superposition,[],[f8053,f12350]) ).
thf(f14921,plain,
( $false
| ~ spl0_192
| spl0_193
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f14858,f8669]) ).
thf(f14922,plain,
( ~ spl0_192
| spl0_193
| ~ spl0_276 ),
inference(avatar_contradiction_clause,[],[f14921]) ).
thf(f14927,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f11632,f32]) ).
thf(f14939,plain,
( spl0_22
| spl0_6 ),
inference(avatar_split_clause,[],[f4567,f87,f370]) ).
thf(f14940,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f11580,f32]) ).
thf(f14945,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_29
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f14527,f32]) ).
thf(f14947,plain,
( spl0_11
| spl0_6
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f14927,f2027,f87,f146]) ).
thf(f14950,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f14940,f32]) ).
thf(f14951,plain,
( spl0_33
| spl0_6
| spl0_29
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f14945,f2027,f554,f87,f569]) ).
thf(f14953,plain,
( spl0_6
| spl0_11
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f14950,f45,f146,f87]) ).
thf(f14966,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f29,f570]) ).
thf(f14967,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f14966]) ).
thf(f14968,plain,
( spl0_49
| spl0_39
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f14967,f569,f625,f886]) ).
thf(f14969,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_88 ),
inference(constrained_superposition,[],[f29,f2487]) ).
thf(f14970,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f14969]) ).
thf(f14971,plain,
( spl0_3
| spl0_49
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f14970,f2486,f886,f54]) ).
thf(f14973,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_159 ),
inference(constrained_superposition,[],[f29,f6594]) ).
thf(f14975,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f14973]) ).
thf(f14976,plain,
( spl0_10
| spl0_160
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f14975,f6593,f6621,f125]) ).
thf(f15114,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_49
| ~ spl0_299 ),
inference(constrained_superposition,[],[f887,f12966]) ).
thf(f15117,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_49
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f15114]) ).
thf(f15131,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_160
| ~ spl0_177 ),
inference(constrained_superposition,[],[f6622,f7718]) ).
thf(f15135,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_160
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f15131]) ).
thf(f15139,plain,
( $false
| ~ spl0_160
| ~ spl0_177
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f15135,f8053]) ).
thf(f15140,plain,
( ~ spl0_160
| ~ spl0_177
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f15139]) ).
thf(f15202,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_159
| ~ spl0_321 ),
inference(constrained_superposition,[],[f14299,f6594]) ).
thf(f15204,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_159
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f15202]) ).
thf(f15207,plain,
( $false
| ~ spl0_159
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f15204,f32]) ).
thf(f15208,plain,
( ~ spl0_159
| ~ spl0_321 ),
inference(avatar_contradiction_clause,[],[f15207]) ).
thf(f15311,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_178
| ~ spl0_238 ),
inference(constrained_superposition,[],[f9441,f7721]) ).
thf(f15323,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_178
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f15311]) ).
thf(f15325,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_216
| ~ spl0_282 ),
inference(constrained_superposition,[],[f8554,f12408]) ).
thf(f15328,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_216
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f15325]) ).
thf(f15330,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_78
| ~ spl0_216
| ~ spl0_282 ),
inference(constrained_superposition,[],[f15328,f11634]) ).
thf(f15333,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_78
| ~ spl0_216
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f15330]) ).
thf(f15335,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_6
| ~ spl0_78
| ~ spl0_216
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f15333,f1190]) ).
thf(f15336,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_6
| ~ spl0_78
| ~ spl0_216
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f15335,f32]) ).
thf(f15337,plain,
( $false
| spl0_6
| ~ spl0_49
| ~ spl0_78
| ~ spl0_216
| ~ spl0_282
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f15336,f15117]) ).
thf(f15338,plain,
( spl0_6
| ~ spl0_49
| ~ spl0_78
| ~ spl0_216
| ~ spl0_282
| ~ spl0_299 ),
inference(avatar_contradiction_clause,[],[f15337]) ).
thf(f15339,plain,
( spl0_320
| spl0_6
| ~ spl0_78
| ~ spl0_216
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f15336,f12407,f8553,f2027,f87,f14241]) ).
thf(f15340,plain,
( spl0_202
| spl0_175
| spl0_195
| ~ spl0_78
| spl0_161 ),
inference(avatar_split_clause,[],[f12389,f6639,f2027,f8065,f7710,f8112]) ).
thf(f15346,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_49
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f14232,f887]) ).
thf(f15351,plain,
( ~ spl0_188
| spl0_187
| ~ spl0_24
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f14720,f7713,f537,f7827,f7830]) ).
thf(f15363,plain,
( ~ spl0_233
| ~ spl0_178
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f15323,f9440,f7720,f9167]) ).
thf(f15364,plain,
( spl0_195
| spl0_202
| spl0_177
| ~ spl0_78
| spl0_161 ),
inference(avatar_split_clause,[],[f12390,f6639,f2027,f7717,f8112,f8065]) ).
thf(f15376,plain,
( spl0_175
| spl0_152
| spl0_151
| spl0_161 ),
inference(avatar_split_clause,[],[f12393,f6639,f6477,f6480,f7710]) ).
thf(f15485,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_160
| ~ spl0_278 ),
inference(constrained_superposition,[],[f6622,f12376]) ).
thf(f15487,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_160
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f15485]) ).
thf(f15490,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_78
| ~ spl0_160
| ~ spl0_278 ),
inference(constrained_superposition,[],[f15487,f11634]) ).
thf(f15492,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_78
| ~ spl0_160
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f15490]) ).
thf(f15494,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_6
| ~ spl0_78
| ~ spl0_160
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f15492,f1190]) ).
thf(f15496,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_6
| ~ spl0_78
| ~ spl0_160
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f15494,f32]) ).
thf(f15497,plain,
( spl0_320
| spl0_6
| ~ spl0_78
| ~ spl0_160
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f15496,f12375,f6621,f2027,f87,f14241]) ).
thf(f15510,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_49
| ~ spl0_299
| ~ spl0_318 ),
inference(constrained_superposition,[],[f15346,f12966]) ).
thf(f15511,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_49
| ~ spl0_299 ),
inference(constrained_superposition,[],[f887,f12966]) ).
thf(f15514,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_49
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f15511]) ).
thf(f15515,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_49
| ~ spl0_299
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f15510]) ).
thf(f15517,plain,
( $false
| ~ spl0_49
| ~ spl0_299
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f15514,f14242]) ).
thf(f15518,plain,
( ~ spl0_49
| ~ spl0_299
| ~ spl0_320 ),
inference(avatar_contradiction_clause,[],[f15517]) ).
thf(f15519,plain,
( spl0_181
| ~ spl0_49
| ~ spl0_299
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f15515,f14231,f12965,f886,f7753]) ).
thf(f15522,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_78
| spl0_193 ),
inference(constrained_superposition,[],[f8669,f11634]) ).
thf(f15525,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_78
| spl0_193 ),
inference(trivial_inequality_removal,[],[f15522]) ).
thf(f15527,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_6
| ~ spl0_78
| spl0_193 ),
inference(forward_subsumption_resolution,[],[f15525,f1190]) ).
thf(f15528,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_6
| ~ spl0_78
| spl0_193
| spl0_202 ),
inference(forward_subsumption_resolution,[],[f15527,f8671]) ).
thf(f15529,plain,
( $false
| spl0_6
| ~ spl0_78
| spl0_193
| spl0_202 ),
inference(forward_subsumption_resolution,[],[f15528,f32]) ).
thf(f15530,plain,
( spl0_6
| ~ spl0_78
| spl0_193
| spl0_202 ),
inference(avatar_contradiction_clause,[],[f15529]) ).
thf(f15531,plain,
( spl0_24
| spl0_203 ),
inference(avatar_split_clause,[],[f4531,f8179,f537]) ).
thf(f15563,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f29,f555]) ).
thf(f15564,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f15563]) ).
thf(f15565,plain,
( spl0_38
| spl0_39
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f15564,f554,f625,f622]) ).
thf(f15566,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f29,f6481]) ).
thf(f15567,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f15566]) ).
thf(f15568,plain,
( spl0_3
| spl0_235
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f15567,f6480,f9226,f54]) ).
thf(f15591,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= X1 )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) )
= $true ) )
| ~ spl0_188 ),
inference(constrained_superposition,[],[f77,f9427]) ).
thf(f15609,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f15591]) ).
thf(f15614,plain,
( spl0_203
| spl0_238
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f15609,f7830,f9440,f8179]) ).
thf(f15618,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f81,f9431]) ).
thf(f15641,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f15618]) ).
thf(f15691,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_227 ),
inference(constrained_superposition,[],[f123,f9078]) ).
thf(f15694,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f15691]) ).
thf(f15701,plain,
( $false
| ~ spl0_9
| ~ spl0_29
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f15694,f555]) ).
thf(f15702,plain,
( ~ spl0_9
| ~ spl0_29
| ~ spl0_227 ),
inference(avatar_contradiction_clause,[],[f15701]) ).
thf(f15708,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f29,f2149]) ).
thf(f15710,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f15708]) ).
thf(f15711,plain,
( spl0_38
| spl0_10
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f15710,f2148,f125,f622]) ).
thf(f15723,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_311 ),
inference(constrained_superposition,[],[f29,f13966]) ).
thf(f15724,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f15723]) ).
thf(f15725,plain,
( spl0_10
| spl0_310
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f15724,f13965,f13771,f125]) ).
thf(f15727,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_38
| ~ spl0_78 ),
inference(constrained_superposition,[],[f623,f11634]) ).
thf(f15728,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_38
| ~ spl0_187 ),
inference(constrained_superposition,[],[f623,f7828]) ).
thf(f15733,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_38
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f15728]) ).
thf(f15734,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_38
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f15727]) ).
thf(f15736,plain,
( $false
| ~ spl0_38
| ~ spl0_187
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f15733,f8053]) ).
thf(f15737,plain,
( ~ spl0_38
| ~ spl0_187
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f15736]) ).
thf(f15738,plain,
( spl0_238
| spl0_193
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f15641,f9074,f8056,f9440]) ).
thf(f15756,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f526,f7714]) ).
thf(f15758,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f66,f7714]) ).
thf(f15775,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f15758]) ).
thf(f15780,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f15756]) ).
thf(f15785,plain,
( spl0_184
| spl0_195
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f15775,f7713,f8065,f7815]) ).
thf(f15788,plain,
( spl0_184
| spl0_187
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f15780,f7713,f7827,f7815]) ).
thf(f15879,plain,
( spl0_33
| spl0_42
| ~ spl0_38
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f15734,f2027,f622,f762,f569]) ).
thf(f15892,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f29,f8057]) ).
thf(f15893,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f15892]) ).
thf(f15894,plain,
( spl0_156
| spl0_160
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f15893,f8056,f6621,f6522]) ).
thf(f15895,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f29,f8066]) ).
thf(f15896,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f15895]) ).
thf(f15897,plain,
( spl0_180
| spl0_225
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f15896,f8065,f8998,f7750]) ).
thf(f15938,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f29,f7828]) ).
thf(f15940,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f15938]) ).
thf(f15941,plain,
( spl0_180
| spl0_220
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f15940,f7827,f8807,f7750]) ).
thf(f16001,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_38
| ~ spl0_299 ),
inference(constrained_superposition,[],[f623,f12966]) ).
thf(f16003,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_38
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f16001]) ).
thf(f16006,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_38
| ~ spl0_78
| ~ spl0_299 ),
inference(constrained_superposition,[],[f16003,f11634]) ).
thf(f16009,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_38
| ~ spl0_78
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f16006]) ).
thf(f16028,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_80
| ~ spl0_243 ),
inference(constrained_superposition,[],[f9918,f2149]) ).
thf(f16032,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_80
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f16028]) ).
thf(f16038,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_80
| ~ spl0_243
| ~ spl0_311 ),
inference(constrained_superposition,[],[f16032,f13966]) ).
thf(f16044,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_80
| ~ spl0_243
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f16038]) ).
thf(f16048,plain,
( spl0_191
| ~ spl0_80
| ~ spl0_243
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f16044,f13965,f9917,f2148,f7873]) ).
thf(f16158,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_216
| ~ spl0_227 ),
inference(constrained_superposition,[],[f8554,f9078]) ).
thf(f16162,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_216
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f16158]) ).
thf(f16164,plain,
( $false
| ~ spl0_29
| ~ spl0_216
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f16162,f555]) ).
thf(f16165,plain,
( ~ spl0_29
| ~ spl0_216
| ~ spl0_227 ),
inference(avatar_contradiction_clause,[],[f16164]) ).
thf(f16231,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_225
| ~ spl0_282 ),
inference(constrained_superposition,[],[f8999,f12408]) ).
thf(f16234,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_225
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f16231]) ).
thf(f16236,plain,
( $false
| ~ spl0_225
| ~ spl0_282
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f16234,f14242]) ).
thf(f16237,plain,
( ~ spl0_225
| ~ spl0_282
| ~ spl0_320 ),
inference(avatar_contradiction_clause,[],[f16236]) ).
thf(f16239,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_38
| ~ spl0_78
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f16009,f32]) ).
thf(f16241,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_6
| ~ spl0_38
| ~ spl0_78
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f16239,f1190]) ).
thf(f16242,plain,
( spl0_320
| spl0_6
| ~ spl0_38
| ~ spl0_78
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f16241,f12965,f2027,f622,f87,f14241]) ).
thf(f16263,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f29,f8206]) ).
thf(f16264,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f16263]) ).
thf(f16266,plain,
( spl0_214
| spl0_39
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f16264,f8205,f625,f8506]) ).
thf(f16278,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f29,f8053]) ).
thf(f16279,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f16278]) ).
thf(f16280,plain,
( spl0_216
| spl0_180
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f16279,f8052,f7750,f8553]) ).
thf(f16288,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_215 ),
inference(constrained_superposition,[],[f29,f8531]) ).
thf(f16290,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f16288]) ).
thf(f16291,plain,
( spl0_214
| spl0_156
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f16290,f8530,f6522,f8506]) ).
thf(f16301,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f29,f9082]) ).
thf(f16302,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f16301]) ).
thf(f16304,plain,
( spl0_10
| spl0_216
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f16302,f9081,f8553,f125]) ).
thf(f16405,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_250
| ~ spl0_283 ),
inference(constrained_superposition,[],[f10617,f12411]) ).
thf(f16409,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_250
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f16405]) ).
thf(f16416,plain,
( ~ spl0_290
| ~ spl0_250
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f16409,f12410,f10616,f12689]) ).
thf(f16417,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_320 ),
inference(constrained_superposition,[],[f29,f14242]) ).
thf(f16418,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f16417]) ).
thf(f16419,plain,
( spl0_298
| spl0_286
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f16418,f14241,f12616,f12843]) ).
thf(f16422,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_290 ),
inference(constrained_superposition,[],[f12690,f37]) ).
thf(f16423,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_290 ),
inference(constrained_superposition,[],[f12690,f30]) ).
thf(f16425,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_290 ),
inference(trivial_inequality_removal,[],[f16423]) ).
thf(f16427,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_290 ),
inference(trivial_inequality_removal,[],[f16422]) ).
thf(f16429,plain,
( spl0_299
| spl0_297
| spl0_290 ),
inference(avatar_split_clause,[],[f16425,f12689,f12839,f12965]) ).
thf(f16430,plain,
( spl0_299
| spl0_191
| spl0_290 ),
inference(avatar_split_clause,[],[f16427,f12689,f7873,f12965]) ).
thf(f16432,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_299 ),
inference(constrained_superposition,[],[f29,f12966]) ).
thf(f16434,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f16432]) ).
thf(f16435,plain,
( spl0_286
| spl0_300
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f16434,f12965,f12976,f12616]) ).
thf(f16537,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_184
| ~ spl0_283 ),
inference(constrained_superposition,[],[f7816,f12411]) ).
thf(f16544,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_184
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f16537]) ).
thf(f16548,plain,
( $false
| ~ spl0_184
| ~ spl0_279
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f16544,f12379]) ).
thf(f16549,plain,
( ~ spl0_184
| ~ spl0_279
| ~ spl0_283 ),
inference(avatar_contradiction_clause,[],[f16548]) ).
cnf(s4,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f89]) ).
cnf(s10,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f195]) ).
cnf(s13,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f207]) ).
cnf(s24,plain,
( ~ spl0_1
| spl0_14 ),
inference(sat_conversion,[],[f278]) ).
cnf(s27,plain,
( spl0_6
| spl0_19 ),
inference(sat_conversion,[],[f304]) ).
cnf(s32,plain,
( spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f542]) ).
cnf(s36,plain,
( spl0_24
| spl0_29 ),
inference(sat_conversion,[],[f564]) ).
cnf(s39,plain,
( spl0_24
| spl0_33 ),
inference(sat_conversion,[],[f576]) ).
cnf(s45,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(sat_conversion,[],[f594]) ).
cnf(s59,plain,
( spl0_3
| ~ spl0_17
| spl0_41 ),
inference(sat_conversion,[],[f759]) ).
cnf(s84,plain,
( ~ spl0_5
| ~ spl0_12
| spl0_57 ),
inference(sat_conversion,[],[f1075]) ).
cnf(s86,plain,
( ~ spl0_7
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f1145]) ).
cnf(s91,plain,
( spl0_6
| spl0_37 ),
inference(sat_conversion,[],[f1209]) ).
cnf(s111,plain,
( ~ spl0_6
| spl0_10
| spl0_41 ),
inference(sat_conversion,[],[f1379]) ).
cnf(s163,plain,
( ~ spl0_2
| ~ spl0_38 ),
inference(sat_conversion,[],[f2058]) ).
cnf(s172,plain,
( ~ spl0_29
| ~ spl0_33
| ~ spl0_41 ),
inference(sat_conversion,[],[f2129]) ).
cnf(s181,plain,
( ~ spl0_25
| spl0_39
| spl0_81 ),
inference(sat_conversion,[],[f2238]) ).
cnf(s183,plain,
( ~ spl0_1
| spl0_78 ),
inference(sat_conversion,[],[f2275]) ).
cnf(s188,plain,
( ~ spl0_29
| ~ spl0_39 ),
inference(sat_conversion,[],[f2426]) ).
cnf(s195,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_41
| spl0_87 ),
inference(sat_conversion,[],[f2489]) ).
cnf(s445,plain,
~ spl0_28,
inference(sat_conversion,[],[f6772]) ).
cnf(s576,plain,
~ spl0_190,
inference(sat_conversion,[],[f8042]) ).
cnf(s645,plain,
~ spl0_191,
inference(sat_conversion,[],[f8331]) ).
cnf(s654,plain,
( spl0_28
| spl0_29
| ~ spl0_37
| spl0_174 ),
inference(sat_conversion,[],[f8358]) ).
cnf(s655,plain,
( ~ spl0_8
| spl0_29
| spl0_174 ),
inference(sat_conversion,[],[f8359]) ).
cnf(s671,plain,
( spl0_193
| spl0_197 ),
inference(sat_conversion,[],[f8471]) ).
cnf(s682,plain,
( ~ spl0_41
| ~ spl0_192
| ~ spl0_195 ),
inference(sat_conversion,[],[f8549]) ).
cnf(s686,plain,
( ~ spl0_41
| ~ spl0_193
| ~ spl0_202 ),
inference(sat_conversion,[],[f8570]) ).
cnf(s692,plain,
( ~ spl0_11
| ~ spl0_180 ),
inference(sat_conversion,[],[f8598]) ).
cnf(s707,plain,
( ~ spl0_11
| ~ spl0_175
| spl0_180
| ~ spl0_193
| spl0_195 ),
inference(sat_conversion,[],[f8670]) ).
cnf(s708,plain,
( ~ spl0_11
| ~ spl0_42
| ~ spl0_175
| spl0_180
| spl0_190
| ~ spl0_202 ),
inference(sat_conversion,[],[f8672]) ).
cnf(s738,plain,
( ~ spl0_49
| ~ spl0_187
| ~ spl0_195 ),
inference(sat_conversion,[],[f8811]) ).
cnf(s748,plain,
( ~ spl0_176
| spl0_184
| spl0_192 ),
inference(sat_conversion,[],[f8878]) ).
cnf(s773,plain,
( ~ spl0_184
| ~ spl0_226
| spl0_227 ),
inference(sat_conversion,[],[f9079]) ).
cnf(s774,plain,
( ~ spl0_184
| spl0_228
| ~ spl0_229 ),
inference(sat_conversion,[],[f9086]) ).
cnf(s780,plain,
( ~ spl0_33
| ~ spl0_225
| ~ spl0_227 ),
inference(sat_conversion,[],[f9116]) ).
cnf(s786,plain,
( ~ spl0_22
| ~ spl0_178
| spl0_190
| spl0_192
| spl0_193 ),
inference(sat_conversion,[],[f9128]) ).
cnf(s791,plain,
( ~ spl0_49
| ~ spl0_202
| ~ spl0_215 ),
inference(sat_conversion,[],[f9136]) ).
cnf(s794,plain,
( ~ spl0_22
| ~ spl0_176
| spl0_191
| spl0_192
| spl0_193 ),
inference(sat_conversion,[],[f9139]) ).
cnf(s802,plain,
( ~ spl0_8
| ~ spl0_178
| spl0_191
| spl0_192
| spl0_193 ),
inference(sat_conversion,[],[f9151]) ).
cnf(s806,plain,
( ~ spl0_8
| ~ spl0_178
| spl0_192
| ~ spl0_197 ),
inference(sat_conversion,[],[f9157]) ).
cnf(s807,plain,
( ~ spl0_8
| ~ spl0_176
| spl0_190
| spl0_192
| spl0_193 ),
inference(sat_conversion,[],[f9158]) ).
cnf(s808,plain,
( ~ spl0_8
| spl0_17
| spl0_232 ),
inference(sat_conversion,[],[f9162]) ).
cnf(s814,plain,
( spl0_28
| spl0_151
| spl0_152
| spl0_215 ),
inference(sat_conversion,[],[f9173]) ).
cnf(s820,plain,
( ~ spl0_7
| ~ spl0_159
| ~ spl0_214 ),
inference(sat_conversion,[],[f9206]) ).
cnf(s823,plain,
( ~ spl0_3
| ~ spl0_152 ),
inference(sat_conversion,[],[f9211]) ).
cnf(s828,plain,
( spl0_156
| ~ spl0_202
| spl0_235 ),
inference(sat_conversion,[],[f9228]) ).
cnf(s829,plain,
( ~ spl0_156
| ~ spl0_202 ),
inference(sat_conversion,[],[f9239]) ).
cnf(s834,plain,
( ~ spl0_3
| ~ spl0_184 ),
inference(sat_conversion,[],[f9252]) ).
cnf(s868,plain,
( spl0_154
| ~ spl0_188 ),
inference(sat_conversion,[],[f9575]) ).
cnf(s872,plain,
( ~ spl0_5
| spl0_29
| ~ spl0_188
| ~ spl0_197 ),
inference(sat_conversion,[],[f9595]) ).
cnf(s873,plain,
( spl0_29
| ~ spl0_188
| spl0_238 ),
inference(sat_conversion,[],[f9596]) ).
cnf(s875,plain,
( ~ spl0_8
| spl0_29
| ~ spl0_188
| spl0_190
| spl0_193 ),
inference(sat_conversion,[],[f9598]) ).
cnf(s879,plain,
( ~ spl0_8
| spl0_28
| spl0_29
| ~ spl0_188
| spl0_190
| spl0_193 ),
inference(sat_conversion,[],[f9603]) ).
cnf(s882,plain,
( ~ spl0_17
| ~ spl0_152
| ~ spl0_160 ),
inference(sat_conversion,[],[f9606]) ).
cnf(s899,plain,
( spl0_187
| spl0_190
| spl0_233 ),
inference(sat_conversion,[],[f9696]) ).
cnf(s901,plain,
( ~ spl0_6
| ~ spl0_159
| ~ spl0_235 ),
inference(sat_conversion,[],[f9730]) ).
cnf(s902,plain,
( ~ spl0_33
| ~ spl0_204
| ~ spl0_235 ),
inference(sat_conversion,[],[f9732]) ).
cnf(s907,plain,
( spl0_28
| ~ spl0_81
| ~ spl0_193
| ~ spl0_215 ),
inference(sat_conversion,[],[f9774]) ).
cnf(s926,plain,
( spl0_39
| ~ spl0_203
| spl0_243 ),
inference(sat_conversion,[],[f9919]) ).
cnf(s928,plain,
( ~ spl0_33
| spl0_190
| ~ spl0_203
| ~ spl0_225 ),
inference(sat_conversion,[],[f9922]) ).
cnf(s954,plain,
~ spl0_161,
inference(sat_conversion,[],[f10078]) ).
cnf(s979,plain,
( ~ spl0_174
| ~ spl0_177
| spl0_181
| spl0_191
| spl0_192
| ~ spl0_214 ),
inference(sat_conversion,[],[f10401]) ).
cnf(s985,plain,
~ spl0_181,
inference(sat_conversion,[],[f10515]) ).
cnf(s993,plain,
( ~ spl0_178
| spl0_228
| spl0_249 ),
inference(sat_conversion,[],[f10614]) ).
cnf(s994,plain,
( ~ spl0_178
| spl0_227
| spl0_250 ),
inference(sat_conversion,[],[f10618]) ).
cnf(s996,plain,
( ~ spl0_6
| ~ spl0_225
| ~ spl0_228 ),
inference(sat_conversion,[],[f10634]) ).
cnf(s997,plain,
( ~ spl0_26
| spl0_227
| ~ spl0_249 ),
inference(sat_conversion,[],[f10649]) ).
cnf(s1003,plain,
( ~ spl0_41
| ~ spl0_49
| ~ spl0_174
| spl0_181
| spl0_191
| ~ spl0_195 ),
inference(sat_conversion,[],[f10715]) ).
cnf(s1007,plain,
( ~ spl0_154
| ~ spl0_178
| spl0_187
| ~ spl0_226 ),
inference(sat_conversion,[],[f10722]) ).
cnf(s1016,plain,
( ~ spl0_2
| ~ spl0_214 ),
inference(sat_conversion,[],[f10753]) ).
cnf(s1023,plain,
( ~ spl0_10
| ~ spl0_159 ),
inference(sat_conversion,[],[f10770]) ).
cnf(s1024,plain,
( ~ spl0_10
| ~ spl0_228 ),
inference(sat_conversion,[],[f10772]) ).
cnf(s1026,plain,
( ~ spl0_10
| spl0_229 ),
inference(sat_conversion,[],[f10781]) ).
cnf(s1044,plain,
( spl0_39
| ~ spl0_57
| spl0_88
| ~ spl0_193
| ~ spl0_215 ),
inference(sat_conversion,[],[f10813]) ).
cnf(s1051,plain,
( ~ spl0_33
| ~ spl0_39 ),
inference(sat_conversion,[],[f10844]) ).
cnf(s1055,plain,
( ~ spl0_156
| ~ spl0_215 ),
inference(sat_conversion,[],[f10882]) ).
cnf(s1058,plain,
( ~ spl0_156
| spl0_161
| ~ spl0_174
| spl0_190 ),
inference(sat_conversion,[],[f10894]) ).
cnf(s1067,plain,
( ~ spl0_174
| ~ spl0_180
| spl0_181
| spl0_191 ),
inference(sat_conversion,[],[f10943]) ).
cnf(s1074,plain,
( spl0_191
| spl0_192
| spl0_195
| ~ spl0_232 ),
inference(sat_conversion,[],[f10999]) ).
cnf(s1086,plain,
( spl0_202
| ~ spl0_226
| spl0_238 ),
inference(sat_conversion,[],[f11090]) ).
cnf(s1092,plain,
( ~ spl0_2
| ~ spl0_160 ),
inference(sat_conversion,[],[f11177]) ).
cnf(s1093,plain,
( ~ spl0_19
| ~ spl0_151
| spl0_159 ),
inference(sat_conversion,[],[f11179]) ).
cnf(s1106,plain,
( spl0_28
| spl0_46
| spl0_80 ),
inference(sat_conversion,[],[f11214]) ).
cnf(s1114,plain,
( ~ spl0_87
| ~ spl0_192 ),
inference(sat_conversion,[],[f11250]) ).
cnf(s1121,plain,
( ~ spl0_6
| ~ spl0_49
| ~ spl0_80 ),
inference(sat_conversion,[],[f11291]) ).
cnf(s1127,plain,
( spl0_161
| spl0_204
| spl0_226 ),
inference(sat_conversion,[],[f11373]) ).
cnf(s1135,plain,
( ~ spl0_26
| spl0_159
| ~ spl0_254 ),
inference(sat_conversion,[],[f11398]) ).
cnf(s1137,plain,
( ~ spl0_46
| spl0_159
| ~ spl0_238 ),
inference(sat_conversion,[],[f11426]) ).
cnf(s1138,plain,
( ~ spl0_175
| ~ spl0_215
| ~ spl0_220 ),
inference(sat_conversion,[],[f11448]) ).
cnf(s1192,plain,
( ~ spl0_175
| ~ spl0_193
| ~ spl0_216 ),
inference(sat_conversion,[],[f12346]) ).
cnf(s1194,plain,
( ~ spl0_154
| spl0_158
| spl0_159 ),
inference(sat_conversion,[],[f12352]) ).
cnf(s1197,plain,
( spl0_190
| spl0_278
| spl0_279 ),
inference(sat_conversion,[],[f12380]) ).
cnf(s1199,plain,
( spl0_190
| spl0_280
| spl0_281 ),
inference(sat_conversion,[],[f12388]) ).
cnf(s1201,plain,
( spl0_161
| spl0_282
| spl0_283 ),
inference(sat_conversion,[],[f12412]) ).
cnf(s1217,plain,
( ~ spl0_154
| ~ spl0_226
| spl0_254 ),
inference(sat_conversion,[],[f12549]) ).
cnf(s1227,plain,
( ~ spl0_151
| ~ spl0_279
| ~ spl0_289 ),
inference(sat_conversion,[],[f12686]) ).
cnf(s1247,plain,
( ~ spl0_179
| ~ spl0_278
| ~ spl0_282 ),
inference(sat_conversion,[],[f12824]) ).
cnf(s1248,plain,
( ~ spl0_41
| ~ spl0_49
| ~ spl0_174
| spl0_289
| spl0_292
| spl0_297 ),
inference(sat_conversion,[],[f12841]) ).
cnf(s1262,plain,
~ spl0_292,
inference(sat_conversion,[],[f12950]) ).
cnf(s1288,plain,
( ~ spl0_14
| spl0_195
| ~ spl0_283
| ~ spl0_289 ),
inference(sat_conversion,[],[f13095]) ).
cnf(s1292,plain,
( ~ spl0_49
| ~ spl0_78
| spl0_195
| ~ spl0_283
| ~ spl0_299 ),
inference(sat_conversion,[],[f13107]) ).
cnf(s1294,plain,
( ~ spl0_22
| ~ spl0_160
| spl0_191
| spl0_192
| ~ spl0_278
| ~ spl0_283 ),
inference(sat_conversion,[],[f13108]) ).
cnf(s1307,plain,
~ spl0_297,
inference(sat_conversion,[],[f13207]) ).
cnf(s1310,plain,
( spl0_33
| spl0_51 ),
inference(sat_conversion,[],[f13213]) ).
cnf(s1312,plain,
( spl0_33
| ~ spl0_78
| spl0_187
| spl0_190
| spl0_195 ),
inference(sat_conversion,[],[f13215]) ).
cnf(s1316,plain,
( spl0_28
| spl0_33
| ~ spl0_78
| spl0_202
| spl0_215 ),
inference(sat_conversion,[],[f13223]) ).
cnf(s1320,plain,
( spl0_28
| spl0_33
| ~ spl0_78
| spl0_202
| spl0_204 ),
inference(sat_conversion,[],[f13231]) ).
cnf(s1321,plain,
( ~ spl0_1
| spl0_33
| spl0_35 ),
inference(sat_conversion,[],[f13232]) ).
cnf(s1324,plain,
( ~ spl0_51
| ~ spl0_151
| spl0_204 ),
inference(sat_conversion,[],[f13238]) ).
cnf(s1329,plain,
( spl0_161
| spl0_177
| spl0_178 ),
inference(sat_conversion,[],[f13250]) ).
cnf(s1330,plain,
( spl0_161
| spl0_175
| spl0_176 ),
inference(sat_conversion,[],[f13251]) ).
cnf(s1342,plain,
( spl0_180
| ~ spl0_195
| spl0_225 ),
inference(sat_conversion,[],[f13293]) ).
cnf(s1347,plain,
( spl0_161
| spl0_188
| spl0_215 ),
inference(sat_conversion,[],[f13325]) ).
cnf(s1357,plain,
( spl0_8
| spl0_28
| spl0_80 ),
inference(sat_conversion,[],[f13395]) ).
cnf(s1359,plain,
( spl0_8
| spl0_159
| spl0_190 ),
inference(sat_conversion,[],[f13397]) ).
cnf(s1361,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f13399]) ).
cnf(s1362,plain,
( ~ spl0_41
| ~ spl0_42
| spl0_126 ),
inference(sat_conversion,[],[f13401]) ).
cnf(s1363,plain,
( spl0_28
| ~ spl0_126
| ~ spl0_193 ),
inference(sat_conversion,[],[f13411]) ).
cnf(s1390,plain,
( spl0_28
| spl0_37
| ~ spl0_159
| ~ spl0_214 ),
inference(sat_conversion,[],[f13692]) ).
cnf(s1397,plain,
( ~ spl0_249
| ~ spl0_283
| spl0_309 ),
inference(sat_conversion,[],[f13763]) ).
cnf(s1401,plain,
( ~ spl0_41
| ~ spl0_78
| ~ spl0_160
| spl0_181
| spl0_202
| ~ spl0_309 ),
inference(sat_conversion,[],[f13776]) ).
cnf(s1406,plain,
( ~ spl0_214
| ~ spl0_278
| ~ spl0_299 ),
inference(sat_conversion,[],[f13803]) ).
cnf(s1409,plain,
( spl0_33
| ~ spl0_78
| spl0_191
| ~ spl0_214
| ~ spl0_225
| ~ spl0_278
| ~ spl0_282 ),
inference(sat_conversion,[],[f13816]) ).
cnf(s1410,plain,
( ~ spl0_29
| ~ spl0_160
| ~ spl0_204 ),
inference(sat_conversion,[],[f13817]) ).
cnf(s1414,plain,
( spl0_26
| spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f13829]) ).
cnf(s1419,plain,
( spl0_156
| ~ spl0_175
| spl0_179 ),
inference(sat_conversion,[],[f13881]) ).
cnf(s1420,plain,
( ~ spl0_177
| spl0_179
| spl0_180 ),
inference(sat_conversion,[],[f13886]) ).
cnf(s1429,plain,
( ~ spl0_158
| ~ spl0_279
| spl0_311 ),
inference(sat_conversion,[],[f13968]) ).
cnf(s1431,plain,
( ~ spl0_6
| ~ spl0_298
| ~ spl0_311 ),
inference(sat_conversion,[],[f13975]) ).
cnf(s1441,plain,
( ~ spl0_24
| ~ spl0_177
| ~ spl0_214
| ~ spl0_283
| ~ spl0_290 ),
inference(sat_conversion,[],[f14044]) ).
cnf(s1460,plain,
( ~ spl0_215
| ~ spl0_280
| ~ spl0_300 ),
inference(sat_conversion,[],[f14176]) ).
cnf(s1462,plain,
( spl0_154
| ~ spl0_281 ),
inference(sat_conversion,[],[f14208]) ).
cnf(s1468,plain,
( ~ spl0_177
| ~ spl0_187
| ~ spl0_214 ),
inference(sat_conversion,[],[f14222]) ).
cnf(s1471,plain,
( ~ spl0_14
| spl0_202
| ~ spl0_279
| ~ spl0_289 ),
inference(sat_conversion,[],[f14226]) ).
cnf(s1474,plain,
( ~ spl0_78
| spl0_202
| ~ spl0_214
| spl0_318 ),
inference(sat_conversion,[],[f14233]) ).
cnf(s1477,plain,
( ~ spl0_41
| ~ spl0_78
| ~ spl0_310
| spl0_319
| spl0_320 ),
inference(sat_conversion,[],[f14243]) ).
cnf(s1479,plain,
( ~ spl0_1
| spl0_202
| ~ spl0_279
| spl0_320 ),
inference(sat_conversion,[],[f14246]) ).
cnf(s1482,plain,
( ~ spl0_180
| ~ spl0_195 ),
inference(sat_conversion,[],[f14269]) ).
cnf(s1483,plain,
( ~ spl0_177
| ~ spl0_180 ),
inference(sat_conversion,[],[f14271]) ).
cnf(s1488,plain,
( ~ spl0_177
| ~ spl0_195
| ~ spl0_235 ),
inference(sat_conversion,[],[f14293]) ).
cnf(s1490,plain,
( ~ spl0_24
| spl0_215
| ~ spl0_279
| ~ spl0_290 ),
inference(sat_conversion,[],[f14296]) ).
cnf(s1491,plain,
( ~ spl0_78
| ~ spl0_179
| spl0_195
| ~ spl0_235
| spl0_321 ),
inference(sat_conversion,[],[f14300]) ).
cnf(s1511,plain,
( ~ spl0_29
| spl0_191
| ~ spl0_319 ),
inference(sat_conversion,[],[f14441]) ).
cnf(s1514,plain,
( ~ spl0_286
| ~ spl0_320 ),
inference(sat_conversion,[],[f14459]) ).
cnf(s1523,plain,
( spl0_276
| ~ spl0_278
| ~ spl0_321 ),
inference(sat_conversion,[],[f14518]) ).
cnf(s1524,plain,
( ~ spl0_235
| ~ spl0_278
| ~ spl0_320 ),
inference(sat_conversion,[],[f14520]) ).
cnf(s1525,plain,
( spl0_289
| spl0_320 ),
inference(sat_conversion,[],[f14521]) ).
cnf(s1527,plain,
( spl0_154
| spl0_161
| spl0_175 ),
inference(sat_conversion,[],[f14523]) ).
cnf(s1531,plain,
( ~ spl0_187
| spl0_215
| ~ spl0_276 ),
inference(sat_conversion,[],[f14586]) ).
cnf(s1572,plain,
( spl0_33
| ~ spl0_78
| spl0_191
| ~ spl0_214
| ~ spl0_235
| ~ spl0_278 ),
inference(sat_conversion,[],[f14842]) ).
cnf(s1576,plain,
( ~ spl0_192
| spl0_276
| ~ spl0_319 ),
inference(sat_conversion,[],[f14854]) ).
cnf(s1582,plain,
( ~ spl0_192
| spl0_193
| ~ spl0_276 ),
inference(sat_conversion,[],[f14922]) ).
cnf(s1595,plain,
( spl0_6
| spl0_22 ),
inference(sat_conversion,[],[f14939]) ).
cnf(s1601,plain,
( spl0_6
| spl0_11
| ~ spl0_78 ),
inference(sat_conversion,[],[f14947]) ).
cnf(s1603,plain,
( spl0_6
| spl0_29
| spl0_33
| ~ spl0_78 ),
inference(sat_conversion,[],[f14951]) ).
cnf(s1605,plain,
( ~ spl0_1
| spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f14953]) ).
cnf(s1607,plain,
( ~ spl0_33
| spl0_39
| spl0_49 ),
inference(sat_conversion,[],[f14968]) ).
cnf(s1608,plain,
( spl0_3
| spl0_49
| ~ spl0_88 ),
inference(sat_conversion,[],[f14971]) ).
cnf(s1609,plain,
( spl0_10
| ~ spl0_159
| spl0_160 ),
inference(sat_conversion,[],[f14976]) ).
cnf(s1633,plain,
( ~ spl0_160
| ~ spl0_177
| ~ spl0_192 ),
inference(sat_conversion,[],[f15140]) ).
cnf(s1640,plain,
( ~ spl0_159
| ~ spl0_321 ),
inference(sat_conversion,[],[f15208]) ).
cnf(s1657,plain,
( spl0_6
| ~ spl0_49
| ~ spl0_78
| ~ spl0_216
| ~ spl0_282
| ~ spl0_299 ),
inference(sat_conversion,[],[f15338]) ).
cnf(s1658,plain,
( spl0_6
| ~ spl0_78
| ~ spl0_216
| ~ spl0_282
| spl0_320 ),
inference(sat_conversion,[],[f15339]) ).
cnf(s1659,plain,
( ~ spl0_78
| spl0_161
| spl0_175
| spl0_195
| spl0_202 ),
inference(sat_conversion,[],[f15340]) ).
cnf(s1667,plain,
( ~ spl0_24
| ~ spl0_176
| spl0_187
| ~ spl0_188 ),
inference(sat_conversion,[],[f15351]) ).
cnf(s1674,plain,
( ~ spl0_178
| ~ spl0_233
| ~ spl0_238 ),
inference(sat_conversion,[],[f15363]) ).
cnf(s1675,plain,
( ~ spl0_78
| spl0_161
| spl0_177
| spl0_195
| spl0_202 ),
inference(sat_conversion,[],[f15364]) ).
cnf(s1682,plain,
( spl0_151
| spl0_152
| spl0_161
| spl0_175 ),
inference(sat_conversion,[],[f15376]) ).
cnf(s1702,plain,
( spl0_6
| ~ spl0_78
| ~ spl0_160
| ~ spl0_278
| spl0_320 ),
inference(sat_conversion,[],[f15497]) ).
cnf(s1708,plain,
( ~ spl0_49
| ~ spl0_299
| ~ spl0_320 ),
inference(sat_conversion,[],[f15518]) ).
cnf(s1709,plain,
( ~ spl0_49
| spl0_181
| ~ spl0_299
| ~ spl0_318 ),
inference(sat_conversion,[],[f15519]) ).
cnf(s1713,plain,
( spl0_6
| ~ spl0_78
| spl0_193
| spl0_202 ),
inference(sat_conversion,[],[f15530]) ).
cnf(s1714,plain,
( spl0_24
| spl0_203 ),
inference(sat_conversion,[],[f15531]) ).
cnf(s1720,plain,
( ~ spl0_29
| spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f15565]) ).
cnf(s1721,plain,
( spl0_3
| ~ spl0_152
| spl0_235 ),
inference(sat_conversion,[],[f15568]) ).
cnf(s1728,plain,
( ~ spl0_188
| spl0_203
| spl0_238 ),
inference(sat_conversion,[],[f15614]) ).
cnf(s1745,plain,
( ~ spl0_9
| ~ spl0_29
| ~ spl0_227 ),
inference(sat_conversion,[],[f15702]) ).
cnf(s1750,plain,
( spl0_10
| spl0_38
| ~ spl0_80 ),
inference(sat_conversion,[],[f15711]) ).
cnf(s1753,plain,
( spl0_10
| spl0_310
| ~ spl0_311 ),
inference(sat_conversion,[],[f15725]) ).
cnf(s1754,plain,
( ~ spl0_38
| ~ spl0_187
| ~ spl0_192 ),
inference(sat_conversion,[],[f15737]) ).
cnf(s1755,plain,
( spl0_193
| ~ spl0_226
| spl0_238 ),
inference(sat_conversion,[],[f15738]) ).
cnf(s1760,plain,
( ~ spl0_176
| spl0_184
| spl0_195 ),
inference(sat_conversion,[],[f15785]) ).
cnf(s1763,plain,
( ~ spl0_176
| spl0_184
| spl0_187 ),
inference(sat_conversion,[],[f15788]) ).
cnf(s1775,plain,
( spl0_33
| ~ spl0_38
| spl0_42
| ~ spl0_78 ),
inference(sat_conversion,[],[f15879]) ).
cnf(s1779,plain,
( spl0_156
| spl0_160
| ~ spl0_193 ),
inference(sat_conversion,[],[f15894]) ).
cnf(s1780,plain,
( spl0_180
| ~ spl0_195
| spl0_225 ),
inference(sat_conversion,[],[f15897]) ).
cnf(s1783,plain,
( spl0_180
| ~ spl0_187
| spl0_220 ),
inference(sat_conversion,[],[f15941]) ).
cnf(s1797,plain,
( ~ spl0_80
| spl0_191
| ~ spl0_243
| ~ spl0_311 ),
inference(sat_conversion,[],[f16048]) ).
cnf(s1808,plain,
( ~ spl0_29
| ~ spl0_216
| ~ spl0_227 ),
inference(sat_conversion,[],[f16165]) ).
cnf(s1811,plain,
( ~ spl0_225
| ~ spl0_282
| ~ spl0_320 ),
inference(sat_conversion,[],[f16237]) ).
cnf(s1814,plain,
( spl0_6
| ~ spl0_38
| ~ spl0_78
| ~ spl0_299
| spl0_320 ),
inference(sat_conversion,[],[f16242]) ).
cnf(s1826,plain,
( spl0_39
| ~ spl0_204
| spl0_214 ),
inference(sat_conversion,[],[f16266]) ).
cnf(s1831,plain,
( spl0_180
| ~ spl0_192
| spl0_216 ),
inference(sat_conversion,[],[f16280]) ).
cnf(s1832,plain,
( spl0_156
| spl0_214
| ~ spl0_215 ),
inference(sat_conversion,[],[f16291]) ).
cnf(s1833,plain,
( spl0_10
| spl0_216
| ~ spl0_228 ),
inference(sat_conversion,[],[f16304]) ).
cnf(s1842,plain,
( ~ spl0_250
| ~ spl0_283
| ~ spl0_290 ),
inference(sat_conversion,[],[f16416]) ).
cnf(s1843,plain,
( spl0_286
| spl0_298
| ~ spl0_320 ),
inference(sat_conversion,[],[f16419]) ).
cnf(s1844,plain,
( spl0_290
| spl0_297
| spl0_299 ),
inference(sat_conversion,[],[f16429]) ).
cnf(s1846,plain,
( spl0_191
| spl0_290
| spl0_299 ),
inference(sat_conversion,[],[f16430]) ).
cnf(s1848,plain,
( spl0_286
| ~ spl0_299
| spl0_300 ),
inference(sat_conversion,[],[f16435]) ).
cnf(s1863,plain,
( ~ spl0_184
| ~ spl0_279
| ~ spl0_283 ),
inference(sat_conversion,[],[f16549]) ).
cnf(s1867,plain,
( ~ spl0_41
| ~ spl0_49
| ~ spl0_174
| spl0_289 ),
inference(rat,[],[s1248,s1307,s1262]) ).
cnf(s1870,plain,
( ~ spl0_174
| ~ spl0_177
| spl0_191
| spl0_192
| ~ spl0_214 ),
inference(rat,[],[s979,s985]) ).
cnf(s1921,plain,
( ~ spl0_215
| spl0_214 ),
inference(rat,[],[s1832,s1055]) ).
cnf(s1922,plain,
( ~ spl0_159
| spl0_160 ),
inference(rat,[],[s1023,s1609]) ).
cnf(s1924,plain,
( ~ spl0_29
| spl0_38 ),
inference(rat,[],[s188,s1720]) ).
cnf(s1925,plain,
~ spl0_2,
inference(rat,[],[s1779,s1058,s879,s655,s1924,s1359,s1922,s1347,s1921,s163,s1016,s1092,s954,s576,s445]) ).
cnf(s1926,plain,
spl0_1,
inference(rat,[],[s10,s1925]) ).
cnf(s1928,plain,
spl0_78,
inference(rat,[],[s183,s1926]) ).
cnf(s1929,plain,
spl0_14,
inference(rat,[],[s24,s1926]) ).
cnf(s1933,plain,
( ~ spl0_278
| ~ spl0_214
| ~ spl0_177
| ~ spl0_24 ),
inference(rat,[],[s1441,s1201,s1844,s1247,s1406,s1420,s1483,s954,s1307]) ).
cnf(s1937,plain,
( spl0_195
| spl0_202
| ~ spl0_214
| spl0_33 ),
inference(rat,[],[s1468,s1312,s1675,s1928,s576,s954]) ).
cnf(s1938,plain,
( spl0_174
| ~ spl0_214
| spl0_29 ),
inference(rat,[],[s1390,s1359,s654,s655,s445,s576]) ).
cnf(s1941,plain,
( spl0_202
| ~ spl0_214
| ~ spl0_215
| spl0_192
| ~ spl0_29
| spl0_193
| spl0_33 ),
inference(rat,[],[s1199,s1460,s1462,s1848,s1194,s1846,s1429,s1441,s1431,s1201,s1843,s1811,s1514,s1479,s1197,s1933,s1329,s802,s1359,s1922,s1342,s1482,s1410,s1937,s1320,s1713,s39,s576,s645,s954,s1926,s445,s1928]) ).
cnf(s1942,plain,
( ~ spl0_177
| ~ spl0_235
| ~ spl0_214
| spl0_33 ),
inference(rat,[],[s1312,s1488,s1468,s1928,s576]) ).
cnf(s1943,plain,
( ~ spl0_215
| spl0_192
| spl0_156
| ~ spl0_29
| spl0_193
| spl0_33 ),
inference(rat,[],[s820,s1359,s1361,s806,s1329,s1942,s828,s1941,s1832,s671,s576,s954]) ).
cnf(s1945,plain,
( spl0_159
| spl0_192
| spl0_156
| ~ spl0_29
| spl0_193
| spl0_33 ),
inference(rat,[],[s1843,s1514,s1477,s1753,s1431,s1429,s1197,s1523,s111,s45,s1531,s1601,s1312,s708,s1491,s1488,s1483,s1419,s1329,s1330,s802,s807,s1194,s1359,s1511,s1775,s1924,s868,s1347,s828,s1316,s1943,s1928,s576,s954,s645,s445]) ).
cnf(s1946,plain,
( spl0_192
| spl0_156
| ~ spl0_29
| spl0_193
| spl0_33 ),
inference(rat,[],[s708,s1330,s692,s794,s1605,s1595,s901,s1945,s828,s1316,s1943,s1775,s1924,s576,s954,s645,s1926,s445,s1928]) ).
cnf(s1947,plain,
( ~ spl0_6
| spl0_41 ),
inference(rat,[],[s111,s45]) ).
cnf(s1948,plain,
( ~ spl0_282
| spl0_6
| ~ spl0_216
| ~ spl0_225 ),
inference(rat,[],[s1658,s1811,s1928]) ).
cnf(s1949,plain,
( spl0_156
| ~ spl0_29
| spl0_193
| spl0_33 ),
inference(rat,[],[s1197,s1863,s1572,s1201,s1826,s1948,s1127,s773,s1763,s1330,s828,s708,s1713,s1605,s1947,s1808,s1831,s1342,s1482,s1312,s195,s1754,s1114,s1946,s1321,s188,s1775,s1924,s576,s645,s1928,s954,s1926]) ).
cnf(s1950,plain,
( ~ spl0_156
| spl0_33 ),
inference(rat,[],[s1316,s829,s1055,s445,s1928]) ).
cnf(s1951,plain,
( ~ spl0_214
| spl0_192
| spl0_29
| ~ spl0_197 ),
inference(rat,[],[s820,s1359,s1361,s806,s1329,s1870,s1938,s576,s954,s645]) ).
cnf(s1952,plain,
( spl0_215
| spl0_193
| spl0_33 ),
inference(rat,[],[s901,s1359,s828,s875,s1316,s1347,s1603,s1949,s1950,s576,s445,s1928,s954]) ).
cnf(s1953,plain,
( spl0_193
| spl0_33 ),
inference(rat,[],[s1843,s1514,s1477,s1753,s1431,s1429,s1197,s1194,s1527,s1572,s901,s1138,s828,s1783,s1937,s1312,s1576,s682,s1582,s1067,s1951,s1938,s1832,s1952,s1947,s45,s1603,s1949,s671,s1950,s1928,s576,s954,s645,s985]) ).
cnf(s1954,plain,
( ~ spl0_215
| ~ spl0_57
| spl0_3
| ~ spl0_202
| spl0_39
| ~ spl0_193 ),
inference(rat,[],[s1608,s1044,s791]) ).
cnf(s1955,plain,
( ~ spl0_228
| spl0_216 ),
inference(rat,[],[s1833,s1024]) ).
cnf(s1956,plain,
( ~ spl0_279
| ~ spl0_225
| ~ spl0_184
| spl0_215
| spl0_6
| ~ spl0_38
| ~ spl0_24 ),
inference(rat,[],[s1811,s1814,s1201,s1846,s1863,s1490,s1928,s954,s645]) ).
cnf(s1957,plain,
( ~ spl0_278
| spl0_6
| ~ spl0_235
| ~ spl0_160 ),
inference(rat,[],[s1702,s1524,s1928]) ).
cnf(s1958,plain,
( ~ spl0_29
| spl0_33 ),
inference(rat,[],[s86,s1026,s1361,s774,s808,s1955,s1074,s1745,s1808,s1780,s773,s1956,s748,s1197,s1754,s1957,s1667,s1347,s1954,s84,s13,s882,s823,s1682,s1330,s708,s692,s1605,s4,s1947,s828,s1362,s1324,s1320,s1127,s1775,s1410,s188,s1924,s1310,s39,s1779,s1950,s1363,s1953,s645,s576,s954,s1926,s445,s1928]) ).
cnf(s1959,plain,
spl0_33,
inference(rat,[],[s1197,s1479,s1409,s1811,s1201,s1397,s993,s1329,s1870,s996,s682,s1342,s1067,s1937,s1938,s1832,s1401,s1316,s686,s1947,s1603,s1958,s1779,s1953,s1950,s576,s1926,s645,s1928,s954,s985,s445]) ).
cnf(s1960,plain,
~ spl0_39,
inference(rat,[],[s1051,s1959]) ).
cnf(s1961,plain,
spl0_49,
inference(rat,[],[s1607,s1959,s1960]) ).
cnf(s1962,plain,
( spl0_192
| spl0_41
| spl0_193 ),
inference(rat,[],[s823,s59,s814,s808,s1093,s1359,s1640,s1074,s1491,s1488,s1419,s1329,s1330,s786,s794,s1595,s27,s828,s829,s791,s1713,s1947,s445,s576,s645,s1928,s954,s1961]) ).
cnf(s1963,plain,
( ~ spl0_299
| spl0_6
| ~ spl0_38 ),
inference(rat,[],[s1708,s1814,s1928,s1961]) ).
cnf(s1964,plain,
( ~ spl0_29
| spl0_193 ),
inference(rat,[],[s1963,s1846,s1490,s1714,s926,s1797,s1429,s1106,s1197,s1137,s1194,s1523,s1922,s1491,s1488,s1633,s1420,s1329,s1007,s1754,s1582,s1962,s1755,s868,s1127,s1347,s902,s791,s828,s829,s692,s1713,s1605,s1947,s172,s1924,s645,s1960,s445,s576,s1928,s954,s1959,s1961,s1926]) ).
cnf(s1965,plain,
( ~ spl0_188
| spl0_193 ),
inference(rat,[],[s1121,s1357,s4,s875,s872,s671,s1964,s1961,s445,s576]) ).
cnf(s1966,plain,
spl0_193,
inference(rat,[],[s1933,s1197,s1675,s1471,s1003,s1867,s1947,s1713,s1938,s791,s1832,s1055,s1347,s1965,s36,s1964,s576,s954,s1928,s1929,s985,s645,s1961]) ).
cnf(s1968,plain,
( ~ spl0_195
| ~ spl0_215
| ~ spl0_29 ),
inference(rat,[],[s1811,s1479,s1201,s1197,s1441,s1933,s1329,s1674,s899,s738,s1342,s692,s1605,s1844,s1963,s1947,s172,s1924,s1832,s32,s181,s907,s1086,s1127,s1410,s1779,s1055,s791,s1926,s954,s576,s1961,s1966,s1960,s445,s1307,s1959]) ).
cnf(s1969,plain,
( ~ spl0_215
| ~ spl0_29 ),
inference(rat,[],[s707,s1659,s1968,s791,s692,s1605,s1947,s172,s1966,s954,s1928,s1961,s1926,s1959]) ).
cnf(s1971,plain,
( spl0_195
| spl0_202
| ~ spl0_11 ),
inference(rat,[],[s707,s1659,s692,s1966,s954,s1928]) ).
cnf(s1972,plain,
( ~ spl0_152
| spl0_235 ),
inference(rat,[],[s823,s1721]) ).
cnf(s1973,plain,
( ~ spl0_195
| ~ spl0_29 ),
inference(rat,[],[s1922,s1294,s1093,s1831,s1201,s814,s1192,s1247,s1972,s1488,s1420,s1330,s1197,s1329,s1667,s1490,s1674,s1728,s1714,s899,s928,s738,s1342,s1595,s27,s692,s1605,s1844,s1963,s1947,s172,s1924,s1347,s1969,s645,s954,s445,s1966,s576,s1959,s1961,s1307,s1926]) ).
cnf(s1974,plain,
~ spl0_29,
inference(rat,[],[s86,s1361,s1026,s808,s774,s1074,s1955,s1831,s1745,s1808,s773,s59,s1127,s834,s902,s1760,s828,s829,s1330,s1971,s707,s1973,s692,s1605,s1947,s172,s645,s954,s1959,s1966,s1926]) ).
cnf(s1977,plain,
spl0_26,
inference(rat,[],[s1414,s445,s1974]) ).
cnf(s1978,plain,
spl0_24,
inference(rat,[],[s36,s1974]) ).
cnf(s1979,plain,
( spl0_177
| ~ spl0_214
| spl0_202 ),
inference(rat,[],[s1948,s1201,s1833,s1024,s1842,s993,s994,s997,s1947,s780,s1003,s1342,s1675,s1329,s1067,s1938,s1844,s1709,s1474,s954,s1977,s1959,s985,s645,s1961,s1928,s1307,s1974]) ).
cnf(s1980,plain,
( ~ spl0_215
| spl0_202 ),
inference(rat,[],[s1870,s1633,s1979,s1938,s1779,s1832,s1055,s645,s1974,s1966]) ).
cnf(s1981,plain,
( ~ spl0_6
| ~ spl0_195 ),
inference(rat,[],[s655,s1357,s1003,s1121,s1947,s1974,s445,s985,s645,s1961]) ).
cnf(s1982,plain,
( ~ spl0_279
| spl0_202 ),
inference(rat,[],[s1846,s1708,s1490,s1479,s1980,s645,s1961,s1978,s1926]) ).
cnf(s1983,plain,
( ~ spl0_195
| spl0_192
| spl0_202 ),
inference(rat,[],[s1201,s1294,s1247,s1779,s1420,s1058,s1329,s654,s1674,s91,s1595,s899,s1981,s738,s1482,s873,s1347,s1980,s1197,s1982,s954,s645,s1966,s576,s445,s1974,s1961]) ).
cnf(s1984,plain,
( spl0_195
| spl0_202 ),
inference(rat,[],[s1867,s1288,s655,s1201,s1357,s1247,s1121,s1947,s1420,s1483,s1601,s1675,s1971,s1197,s1982,s1961,s1929,s1974,s954,s445,s1928,s576]) ).
cnf(s1985,plain,
spl0_202,
inference(rat,[],[s1192,s1330,s1831,s1667,s1983,s738,s1482,s1984,s1347,s1980,s1966,s954,s1978,s1961]) ).
cnf(s1986,plain,
~ spl0_156,
inference(rat,[],[s829,s1985]) ).
cnf(s1987,plain,
spl0_235,
inference(rat,[],[s828,s1986,s1985]) ).
cnf(s1989,plain,
~ spl0_41,
inference(rat,[],[s686,s1966,s1985]) ).
cnf(s1991,plain,
~ spl0_215,
inference(rat,[],[s791,s1961,s1985]) ).
cnf(s1992,plain,
spl0_160,
inference(rat,[],[s1779,s1966,s1986]) ).
cnf(s1993,plain,
~ spl0_204,
inference(rat,[],[s902,s1959,s1987]) ).
cnf(s1994,plain,
~ spl0_6,
inference(rat,[],[s1947,s1989]) ).
cnf(s1995,plain,
spl0_188,
inference(rat,[],[s1347,s954,s1991]) ).
cnf(s1997,plain,
~ spl0_278,
inference(rat,[],[s1957,s1987,s1994,s1992]) ).
cnf(s1998,plain,
spl0_226,
inference(rat,[],[s1127,s954,s1993]) ).
cnf(s2005,plain,
spl0_11,
inference(rat,[],[s1605,s1926,s1994]) ).
cnf(s2008,plain,
spl0_154,
inference(rat,[],[s868,s1995]) ).
cnf(s2010,plain,
spl0_279,
inference(rat,[],[s1197,s576,s1997]) ).
cnf(s2011,plain,
spl0_254,
inference(rat,[],[s1217,s2008,s1998]) ).
cnf(s2020,plain,
~ spl0_180,
inference(rat,[],[s692,s2005]) ).
cnf(s2022,plain,
~ spl0_290,
inference(rat,[],[s1490,s1978,s1991,s2010]) ).
cnf(s2025,plain,
spl0_159,
inference(rat,[],[s1135,s1977,s2011]) ).
cnf(s2027,plain,
spl0_299,
inference(rat,[],[s1846,s645,s2022]) ).
cnf(s2030,plain,
~ spl0_10,
inference(rat,[],[s1023,s2025]) ).
cnf(s2031,plain,
~ spl0_38,
inference(rat,[],[s1963,s1994,s2027]) ).
cnf(s2033,plain,
~ spl0_320,
inference(rat,[],[s1708,s1961,s2027]) ).
cnf(s2036,plain,
~ spl0_80,
inference(rat,[],[s1750,s2030,s2031]) ).
cnf(s2039,plain,
spl0_289,
inference(rat,[],[s1525,s2033]) ).
cnf(s2040,plain,
spl0_8,
inference(rat,[],[s1357,s445,s2036]) ).
cnf(s2045,plain,
~ spl0_151,
inference(rat,[],[s1227,s2010,s2039]) ).
cnf(s2049,plain,
spl0_152,
inference(rat,[],[s814,s1991,s445,s2045]) ).
cnf(s2051,plain,
~ spl0_17,
inference(rat,[],[s882,s1992,s2049]) ).
cnf(s2055,plain,
spl0_232,
inference(rat,[],[s808,s2040,s2051]) ).
cnf(s2067,plain,
~ spl0_195,
inference(rat,[],[s1329,s1007,s1488,s738,s954,s1998,s2008,s1987,s1961]) ).
cnf(s2069,plain,
spl0_192,
inference(rat,[],[s1074,s2055,s645,s2067]) ).
cnf(s2071,plain,
~ spl0_283,
inference(rat,[],[s1292,s2027,s1961,s1928,s2067]) ).
cnf(s2074,plain,
spl0_216,
inference(rat,[],[s1831,s2020,s2069]) ).
cnf(s2078,plain,
spl0_282,
inference(rat,[],[s1201,s954,s2071]) ).
cnf(s2080,plain,
$false,
inference(rat,[],[s1657,s2027,s1961,s1928,s1994,s2074,s2078]) ).
thf(f16550,plain,
$false,
inference(avatar_sat_refutation,[],[s2080]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA127^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 % Computer : n019.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Tue Sep 29 19:02:03 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.29 Running higher-order theorem proving
% 0.24/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.48 % (1215297)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.72/0.48 % (1215305)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2353321234:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.72/0.48 % (1215308)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.72/0.48 % (1215308)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.72/0.48 % (1215302)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=807860594:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.72/0.48 % (1215304)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2508315358:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.72/0.48 % (1215303)lrs+10_16_si=on:nwc=1.5:random_seed=4063650577:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.72/0.48 % (1215306)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=839600512:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.72/0.48 % (1215307)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1714530979:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.72/0.48 % (1215308)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=4194149177:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.72/0.48 % (1215304)Instruction limit reached!
% 0.72/0.48 % (1215304)------------------------------
% 0.72/0.48 % (1215304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.48 % (1215304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.48 % (1215304)CaDiCaL version: 2.1.3
% 0.72/0.48 % (1215304)Termination reason: Instruction limit
% 0.72/0.48 % (1215304)Termination phase: Saturation
% 0.72/0.48 % (1215304)Time elapsed: 0.004 s
% 0.72/0.48 % (1215304)Peak memory usage: 12 MB
% 0.72/0.48 % (1215304)Instructions burned: 4 (million)
% 0.72/0.48 % (1215303)Instruction limit reached!
% 0.72/0.48 % (1215303)------------------------------
% 0.72/0.48 % (1215303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.48 % (1215303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.48 % (1215303)CaDiCaL version: 2.1.3
% 0.72/0.48 % (1215303)Termination reason: Instruction limit
% 0.72/0.48 % (1215303)Termination phase: Saturation
% 0.72/0.48 % (1215303)Time elapsed: 0.015 s
% 0.72/0.48 % (1215303)Peak memory usage: 12 MB
% 0.72/0.48 % (1215303)Instructions burned: 18 (million)
% 0.72/0.48 % (1215306)Instruction limit reached!
% 0.72/0.48 % (1215306)------------------------------
% 0.72/0.48 % (1215306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.48 % (1215306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.48 % (1215306)CaDiCaL version: 2.1.3
% 0.72/0.48 % (1215306)Termination reason: Instruction limit
% 0.72/0.48 % (1215306)Termination phase: Saturation
% 0.72/0.48 % (1215306)Time elapsed: 0.019 s
% 0.72/0.48 % (1215306)Peak memory usage: 11 MB
% 0.72/0.48 % (1215306)Instructions burned: 24 (million)
% 0.72/0.48 % (1215316)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4064717647:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.72/0.48 % (1215316)Instruction limit reached!
% 0.72/0.48 % (1215316)------------------------------
% 0.72/0.48 % (1215316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.48 % (1215316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.48 % (1215316)CaDiCaL version: 2.1.3
% 0.72/0.48 % (1215316)Termination reason: Instruction limit
% 0.72/0.48 % (1215316)Termination phase: Saturation
% 0.72/0.48 % (1215316)Time elapsed: 0.003 s
% 0.72/0.48 % (1215316)Peak memory usage: 12 MB
% 0.72/0.48 % (1215316)Instructions burned: 2 (million)
% 0.72/0.48 % (1215318)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.43/0.52 % (1215318)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3514412532:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.43/0.52 % (1215317)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3819420921:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.43/0.52 % (1215318)Instruction limit reached!
% 1.43/0.52 % (1215318)------------------------------
% 1.43/0.52 % (1215318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.52 % (1215318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.52 % (1215318)CaDiCaL version: 2.1.3
% 1.43/0.52 % (1215318)Termination reason: Instruction limit
% 1.43/0.52 % (1215318)Termination phase: Saturation
% 1.43/0.52 % (1215318)Time elapsed: 0.008 s
% 1.43/0.52 % (1215318)Peak memory usage: 12 MB
% 1.43/0.52 % (1215318)Instructions burned: 7 (million)
% 1.43/0.52 % (1215302)Instruction limit reached!
% 1.43/0.52 % (1215302)------------------------------
% 1.43/0.52 % (1215302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.52 % (1215302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.52 % (1215302)CaDiCaL version: 2.1.3
% 1.43/0.52 % (1215302)Termination reason: Instruction limit
% 1.43/0.52 % (1215302)Termination phase: Saturation
% 1.43/0.52 % (1215302)Time elapsed: 0.061 s
% 1.43/0.52 % (1215302)Peak memory usage: 12 MB
% 1.43/0.52 % (1215302)Instructions burned: 87 (million)
% 1.43/0.52 % (1215317)Instruction limit reached!
% 1.43/0.52 % (1215317)------------------------------
% 1.43/0.52 % (1215317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.52 % (1215317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.52 % (1215317)CaDiCaL version: 2.1.3
% 1.43/0.52 % (1215317)Termination reason: Instruction limit
% 1.43/0.52 % (1215317)Termination phase: Saturation
% 1.43/0.52 % (1215317)Time elapsed: 0.006 s
% 1.43/0.52 % (1215317)Peak memory usage: 12 MB
% 1.43/0.52 % (1215317)Instructions burned: 5 (million)
% 1.43/0.52 % (1215307)Instruction limit reached!
% 1.43/0.52 % (1215307)------------------------------
% 1.43/0.52 % (1215307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.52 % (1215307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.52 % (1215307)CaDiCaL version: 2.1.3
% 1.43/0.52 % (1215307)Termination reason: Instruction limit
% 1.43/0.52 % (1215307)Termination phase: Saturation
% 1.43/0.52 % (1215307)Time elapsed: 0.062 s
% 1.43/0.52 % (1215307)Peak memory usage: 12 MB
% 1.43/0.52 % (1215307)Instructions burned: 75 (million)
% 1.43/0.52 % (1215320)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3729945557:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.43/0.52 % (1215323)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.43/0.52 % (1215323)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.43/0.52 % (1215323)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2599076203:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.43/0.52 % (1215320)Instruction limit reached!
% 1.43/0.52 % (1215320)------------------------------
% 1.43/0.52 % (1215320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.52 % (1215320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.52 % (1215320)CaDiCaL version: 2.1.3
% 1.43/0.52 % (1215320)Termination reason: Instruction limit
% 1.43/0.52 % (1215320)Termination phase: Saturation
% 1.43/0.52 % (1215320)Time elapsed: 0.013 s
% 1.43/0.52 % (1215320)Peak memory usage: 12 MB
% 1.43/0.52 % (1215320)Instructions burned: 12 (million)
% 1.43/0.52 % (1215326)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.43/0.52 % (1215324)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1694835107:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.43/0.55 % (1215325)lrs+10_1_si=on:cs=on:random_seed=3100202092:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.43/0.55 % (1215326)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=300716769:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.43/0.55 % (1215323)Instruction limit reached!
% 1.43/0.55 % (1215323)------------------------------
% 1.43/0.55 % (1215323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.55 % (1215323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.55 % (1215323)CaDiCaL version: 2.1.3
% 1.43/0.55 % (1215323)Termination reason: Instruction limit
% 1.43/0.55 % (1215323)Termination phase: Saturation
% 1.43/0.55 % (1215323)Time elapsed: 0.016 s
% 1.43/0.55 % (1215323)Peak memory usage: 12 MB
% 1.43/0.55 % (1215323)Instructions burned: 29 (million)
% 1.43/0.55 % (1215326)Instruction limit reached!
% 1.43/0.55 % (1215326)------------------------------
% 1.43/0.55 % (1215326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.55 % (1215326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.55 % (1215326)CaDiCaL version: 2.1.3
% 1.43/0.55 % (1215326)Termination reason: Instruction limit
% 1.43/0.55 % (1215326)Termination phase: Saturation
% 1.43/0.55 % (1215326)Time elapsed: 0.003 s
% 1.43/0.55 % (1215326)Peak memory usage: 11 MB
% 1.43/0.55 % (1215326)Instructions burned: 2 (million)
% 1.43/0.55 % (1215325)Instruction limit reached!
% 1.43/0.55 % (1215325)------------------------------
% 1.43/0.55 % (1215325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.55 % (1215325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.55 % (1215325)CaDiCaL version: 2.1.3
% 1.43/0.55 % (1215325)Termination reason: Instruction limit
% 1.43/0.55 % (1215325)Termination phase: Saturation
% 1.43/0.55 % (1215325)Time elapsed: 0.008 s
% 1.43/0.55 % (1215325)Peak memory usage: 12 MB
% 1.43/0.55 % (1215325)Instructions burned: 9 (million)
% 1.43/0.55 % (1215308)Instruction limit reached!
% 1.43/0.55 % (1215308)------------------------------
% 1.43/0.55 % (1215308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.55 % (1215308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.55 % (1215308)CaDiCaL version: 2.1.3
% 1.43/0.55 % (1215308)Termination reason: Instruction limit
% 1.43/0.55 % (1215308)Termination phase: Saturation
% 1.43/0.55 % (1215308)Time elapsed: 0.109 s
% 1.43/0.55 % (1215308)Peak memory usage: 12 MB
% 1.43/0.55 % (1215308)Instructions burned: 158 (million)
% 1.43/0.55 % (1215329)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=613254549:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.43/0.55 % (1215329)Refutation not found, incomplete strategy
% 1.43/0.55 % (1215329)------------------------------
% 1.43/0.55 % (1215329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.55 % (1215329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.55 % (1215329)CaDiCaL version: 2.1.3
% 1.43/0.55 % (1215329)Termination reason: Refutation not found, incomplete strategy
% 1.43/0.55 % (1215329)Time elapsed: 0.001 s
% 1.43/0.55 % (1215329)Peak memory usage: 11 MB
% 1.43/0.55 % (1215329)------------------------------
% 1.43/0.55 % (1215329)------------------------------
% 1.43/0.55 % (1215333)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3712216138:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.43/0.55 % (1215333)Refutation not found, incomplete strategy
% 1.43/0.55 % (1215333)------------------------------
% 1.43/0.55 % (1215333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.55 % (1215333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.55 % (1215333)CaDiCaL version: 2.1.3
% 1.43/0.55 % (1215333)Termination reason: Refutation not found, incomplete strategy
% 1.43/0.55 % (1215333)Time elapsed: 0.001 s
% 1.43/0.55 % (1215333)Peak memory usage: 11 MB
% 1.43/0.55 % (1215333)------------------------------
% 1.43/0.55 % (1215333)------------------------------
% 1.43/0.55 % (1215334)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2957374159:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.43/0.55 % (1215334)Refutation not found, incomplete strategy
% 2.04/0.59 % (1215334)------------------------------
% 2.04/0.59 % (1215334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.59 % (1215334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.59 % (1215334)CaDiCaL version: 2.1.3
% 2.04/0.59 % (1215334)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.59 % (1215334)Time elapsed: 0.001 s
% 2.04/0.59 % (1215334)Peak memory usage: 11 MB
% 2.04/0.59 % (1215335)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1584923551:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.04/0.59 % (1215334)------------------------------
% 2.04/0.59 % (1215334)------------------------------
% 2.04/0.59 % (1215336)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1544741478:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.04/0.59 % (1215336)Refutation not found, incomplete strategy
% 2.04/0.59 % (1215336)------------------------------
% 2.04/0.59 % (1215336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.59 % (1215336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.59 % (1215336)CaDiCaL version: 2.1.3
% 2.04/0.59 % (1215336)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.59 % (1215336)Time elapsed: 0.001 s
% 2.04/0.59 % (1215336)Peak memory usage: 11 MB
% 2.04/0.59 % (1215336)------------------------------
% 2.04/0.59 % (1215336)------------------------------
% 2.04/0.59 % (1215335)Instruction limit reached!
% 2.04/0.59 % (1215335)------------------------------
% 2.04/0.59 % (1215335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.59 % (1215335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.59 % (1215335)CaDiCaL version: 2.1.3
% 2.04/0.59 % (1215335)Termination reason: Instruction limit
% 2.04/0.59 % (1215335)Termination phase: Saturation
% 2.04/0.59 % (1215335)Time elapsed: 0.015 s
% 2.04/0.59 % (1215335)Peak memory usage: 12 MB
% 2.04/0.59 % (1215335)Instructions burned: 14 (million)
% 2.04/0.59 % (1215339)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4038261038:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.04/0.59 % (1215340)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2272925912:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.04/0.59 % (1215340)Refutation not found, incomplete strategy
% 2.04/0.59 % (1215340)------------------------------
% 2.04/0.59 % (1215340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.59 % (1215340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.59 % (1215340)CaDiCaL version: 2.1.3
% 2.04/0.59 % (1215340)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.59 % (1215340)Time elapsed: 0.001 s
% 2.04/0.59 % (1215340)Peak memory usage: 11 MB
% 2.04/0.59 % (1215340)------------------------------
% 2.04/0.59 % (1215340)------------------------------
% 2.04/0.59 % (1215324)Instruction limit reached!
% 2.04/0.59 % (1215324)------------------------------
% 2.04/0.59 % (1215324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.59 % (1215324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.59 % (1215324)CaDiCaL version: 2.1.3
% 2.04/0.59 % (1215324)Termination reason: Instruction limit
% 2.04/0.59 % (1215324)Termination phase: Saturation
% 2.04/0.59 % (1215324)Time elapsed: 0.071 s
% 2.04/0.59 % (1215324)Peak memory usage: 12 MB
% 2.04/0.59 % (1215324)Instructions burned: 86 (million)
% 2.04/0.59 % (1215339)Instruction limit reached!
% 2.04/0.59 % (1215339)------------------------------
% 2.04/0.59 % (1215339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.59 % (1215343)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1450597307:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.04/0.59 % (1215339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.59 % (1215339)CaDiCaL version: 2.1.3
% 2.04/0.59 % (1215339)Termination reason: Instruction limit
% 2.04/0.59 % (1215339)Termination phase: Saturation
% 2.04/0.59 % (1215339)Time elapsed: 0.014 s
% 2.04/0.59 % (1215339)Peak memory usage: 12 MB
% 2.04/0.59 % (1215339)Instructions burned: 15 (million)
% 2.04/0.63 % (1215345)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2625040271:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.04/0.63 % (1215346)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=834254496:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.04/0.63 % (1215350)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.04/0.63 % (1215349)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.04/0.63 % (1215349)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.04/0.63 % (1215305)Instruction limit reached!
% 2.04/0.63 % (1215305)------------------------------
% 2.04/0.63 % (1215305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.63 % (1215305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.63 % (1215305)CaDiCaL version: 2.1.3
% 2.04/0.63 % (1215305)Termination reason: Instruction limit
% 2.04/0.63 % (1215305)Termination phase: Saturation
% 2.04/0.63 % (1215305)Time elapsed: 0.205 s
% 2.04/0.63 % (1215305)Peak memory usage: 13 MB
% 2.04/0.63 % (1215305)Instructions burned: 637 (million)
% 2.04/0.63 % (1215350)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1405543455:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.04/0.63 % (1215352)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=289423794:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.04/0.63 % (1215349)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=1751595344:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.04/0.63 % (1215345)Instruction limit reached!
% 2.04/0.63 % (1215345)------------------------------
% 2.04/0.63 % (1215345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.63 % (1215345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.63 % (1215345)CaDiCaL version: 2.1.3
% 2.04/0.63 % (1215345)Termination reason: Instruction limit
% 2.04/0.63 % (1215345)Termination phase: Saturation
% 2.04/0.63 % (1215345)Time elapsed: 0.019 s
% 2.04/0.63 % (1215345)Peak memory usage: 11 MB
% 2.04/0.63 % (1215345)Instructions burned: 24 (million)
% 2.04/0.63 % (1215343)Instruction limit reached!
% 2.04/0.63 % (1215343)------------------------------
% 2.04/0.63 % (1215343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.63 % (1215343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.63 % (1215343)CaDiCaL version: 2.1.3
% 2.04/0.63 % (1215343)Termination reason: Instruction limit
% 2.04/0.63 % (1215343)Termination phase: Saturation
% 2.04/0.63 % (1215343)Time elapsed: 0.024 s
% 2.04/0.63 % (1215343)Peak memory usage: 12 MB
% 2.04/0.63 % (1215343)Instructions burned: 27 (million)
% 2.04/0.63 % (1215350)Instruction limit reached!
% 2.04/0.63 % (1215350)------------------------------
% 2.04/0.63 % (1215350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.63 % (1215350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.63 % (1215350)CaDiCaL version: 2.1.3
% 2.04/0.63 % (1215350)Termination reason: Instruction limit
% 2.04/0.63 % (1215350)Termination phase: Saturation
% 2.04/0.63 % (1215350)Time elapsed: 0.009 s
% 2.04/0.63 % (1215350)Peak memory usage: 12 MB
% 2.04/0.63 % (1215350)Instructions burned: 8 (million)
% 2.04/0.63 % (1215356)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3726315086:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.04/0.63 % (1215349)Instruction limit reached!
% 2.04/0.63 % (1215349)------------------------------
% 2.04/0.63 % (1215349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.63 % (1215349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.63 % (1215349)CaDiCaL version: 2.1.3
% 2.30/0.69 % (1215349)Termination reason: Instruction limit
% 2.30/0.69 % (1215349)Termination phase: Saturation
% 2.30/0.69 % (1215349)Time elapsed: 0.014 s
% 2.30/0.69 % (1215349)Peak memory usage: 12 MB
% 2.30/0.69 % (1215349)Instructions burned: 14 (million)
% 2.30/0.69 % (1215356)Instruction limit reached!
% 2.30/0.69 % (1215356)------------------------------
% 2.30/0.69 % (1215356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.69 % (1215356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.69 % (1215356)CaDiCaL version: 2.1.3
% 2.30/0.69 % (1215356)Termination reason: Instruction limit
% 2.30/0.69 % (1215356)Termination phase: Saturation
% 2.30/0.69 % (1215356)Time elapsed: 0.006 s
% 2.30/0.69 % (1215356)Peak memory usage: 12 MB
% 2.30/0.69 % (1215356)Instructions burned: 11 (million)
% 2.30/0.69 % (1215352)Instruction limit reached!
% 2.30/0.69 % (1215352)------------------------------
% 2.30/0.69 % (1215352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.69 % (1215352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.69 % (1215352)CaDiCaL version: 2.1.3
% 2.30/0.69 % (1215352)Termination reason: Instruction limit
% 2.30/0.69 % (1215352)Termination phase: Saturation
% 2.30/0.69 % (1215352)Time elapsed: 0.026 s
% 2.30/0.69 % (1215352)Peak memory usage: 12 MB
% 2.30/0.69 % (1215352)Instructions burned: 31 (million)
% 2.30/0.69 % (1215360)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2020484007:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.30/0.69 % (1215359)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3218042890:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.30/0.69 % (1215346)Instruction limit reached!
% 2.30/0.69 % (1215346)------------------------------
% 2.30/0.69 % (1215346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.69 % (1215346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.69 % (1215346)CaDiCaL version: 2.1.3
% 2.30/0.69 % (1215346)Termination reason: Instruction limit
% 2.30/0.69 % (1215346)Termination phase: Saturation
% 2.30/0.69 % (1215346)Time elapsed: 0.048 s
% 2.30/0.69 % (1215346)Peak memory usage: 12 MB
% 2.30/0.69 % (1215346)Instructions burned: 65 (million)
% 2.30/0.69 % (1215364)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1450442126:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.30/0.69 % (1215364)Refutation not found, incomplete strategy
% 2.30/0.69 % (1215364)------------------------------
% 2.30/0.69 % (1215364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.69 % (1215364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.69 % (1215364)CaDiCaL version: 2.1.3
% 2.30/0.69 % (1215364)Termination reason: Refutation not found, incomplete strategy
% 2.30/0.69 % (1215364)Time elapsed: 0.0000 s
% 2.30/0.69 % (1215364)Peak memory usage: 11 MB
% 2.30/0.69 % (1215361)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3408617447:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.30/0.69 % (1215364)------------------------------
% 2.30/0.69 % (1215364)------------------------------
% 2.30/0.69 % (1215363)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1134847899:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.30/0.69 % (1215359)Instruction limit reached!
% 2.30/0.69 % (1215359)------------------------------
% 2.30/0.69 % (1215359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.69 % (1215359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.69 % (1215359)CaDiCaL version: 2.1.3
% 2.30/0.69 % (1215359)Termination reason: Instruction limit
% 2.30/0.69 % (1215359)Termination phase: Saturation
% 2.30/0.69 % (1215359)Time elapsed: 0.019 s
% 2.30/0.69 % (1215359)Peak memory usage: 12 MB
% 2.30/0.69 % (1215359)Instructions burned: 24 (million)
% 2.30/0.69 % (1215360)Instruction limit reached!
% 2.30/0.69 % (1215360)------------------------------
% 2.30/0.69 % (1215360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.69 % (1215360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.69 % (1215360)CaDiCaL version: 2.1.3
% 2.30/0.69 % (1215360)Termination reason: Instruction limit
% 2.30/0.69 % (1215360)Termination phase: Saturation
% 2.30/0.69 % (1215360)Time elapsed: 0.019 s
% 2.52/0.79 % (1215360)Peak memory usage: 12 MB
% 2.52/0.79 % (1215360)Instructions burned: 21 (million)
% 2.52/0.79 % (1215371)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1822056952:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.52/0.79 % (1215371)Refutation not found, incomplete strategy
% 2.52/0.79 % (1215371)------------------------------
% 2.52/0.79 % (1215371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.79 % (1215371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.79 % (1215371)CaDiCaL version: 2.1.3
% 2.52/0.79 % (1215371)Termination reason: Refutation not found, incomplete strategy
% 2.52/0.79 % (1215371)Time elapsed: 0.0000 s
% 2.52/0.79 % (1215371)Peak memory usage: 12 MB
% 2.52/0.79 % (1215371)------------------------------
% 2.52/0.79 % (1215371)------------------------------
% 2.52/0.79 % (1215365)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2681807292:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.52/0.79 % (1215368)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.52/0.79 % (1215368)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=587305758:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.52/0.79 % (1215373)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2560348036:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.52/0.79 % (1215373)Refutation not found, incomplete strategy
% 2.52/0.79 % (1215373)------------------------------
% 2.52/0.79 % (1215373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.79 % (1215373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.79 % (1215373)CaDiCaL version: 2.1.3
% 2.52/0.79 % (1215373)Termination reason: Refutation not found, incomplete strategy
% 2.52/0.79 % (1215373)Time elapsed: 0.001 s
% 2.52/0.79 % (1215373)Peak memory usage: 12 MB
% 2.52/0.79 % (1215368)Instruction limit reached!
% 2.52/0.79 % (1215368)------------------------------
% 2.52/0.79 % (1215368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.79 % (1215368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.79 % (1215368)CaDiCaL version: 2.1.3
% 2.52/0.79 % (1215368)Termination reason: Instruction limit
% 2.52/0.79 % (1215368)Termination phase: Saturation
% 2.52/0.79 % (1215368)Time elapsed: 0.008 s
% 2.52/0.79 % (1215368)Peak memory usage: 12 MB
% 2.52/0.79 % (1215368)Instructions burned: 8 (million)
% 2.52/0.79 % (1215373)------------------------------
% 2.52/0.79 % (1215373)------------------------------
% 2.52/0.79 % (1215376)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4246988058:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.52/0.79 % (1215374)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.52/0.79 % (1215374)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=464053158:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.52/0.79 % (1215376)Instruction limit reached!
% 2.52/0.79 % (1215376)------------------------------
% 2.52/0.79 % (1215376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.79 % (1215376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.79 % (1215376)CaDiCaL version: 2.1.3
% 2.52/0.79 % (1215376)Termination reason: Instruction limit
% 2.52/0.79 % (1215376)Termination phase: Saturation
% 2.52/0.79 % (1215376)Time elapsed: 0.010 s
% 2.52/0.79 % (1215376)Peak memory usage: 12 MB
% 2.52/0.79 % (1215376)Instructions burned: 24 (million)
% 2.52/0.79 % (1215374)Refutation not found, incomplete strategy
% 2.52/0.79 % (1215374)------------------------------
% 2.52/0.79 % (1215374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.79 % (1215374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.79 % (1215374)CaDiCaL version: 2.1.3
% 2.52/0.79 % (1215374)Termination reason: Refutation not found, incomplete strategy
% 2.81/0.88 % (1215374)Time elapsed: 0.002 s
% 2.81/0.88 % (1215374)Peak memory usage: 11 MB
% 2.81/0.88 % (1215374)Instructions burned: 1 (million)
% 2.81/0.88 % (1215374)------------------------------
% 2.81/0.88 % (1215374)------------------------------
% 2.81/0.88 % (1215365)Instruction limit reached!
% 2.81/0.88 % (1215365)------------------------------
% 2.81/0.88 % (1215365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.88 % (1215365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.88 % (1215365)CaDiCaL version: 2.1.3
% 2.81/0.88 % (1215365)Termination reason: Instruction limit
% 2.81/0.88 % (1215365)Termination phase: Saturation
% 2.81/0.88 % (1215365)Time elapsed: 0.033 s
% 2.81/0.88 % (1215365)Peak memory usage: 12 MB
% 2.81/0.88 % (1215365)Instructions burned: 43 (million)
% 2.81/0.88 % (1215381)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1548832601:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.81/0.88 % (1215381)Refutation not found, incomplete strategy
% 2.81/0.88 % (1215381)------------------------------
% 2.81/0.88 % (1215381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.88 % (1215381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.88 % (1215381)CaDiCaL version: 2.1.3
% 2.81/0.88 % (1215381)Termination reason: Refutation not found, incomplete strategy
% 2.81/0.88 % (1215381)Time elapsed: 0.002 s
% 2.81/0.88 % (1215381)Peak memory usage: 12 MB
% 2.81/0.88 % (1215381)Instructions burned: 2 (million)
% 2.81/0.88 % (1215381)------------------------------
% 2.81/0.88 % (1215381)------------------------------
% 2.81/0.88 % (1215384)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=854607790:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.81/0.88 % (1215382)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2390286267:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.81/0.88 % (1215385)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=4291429029:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.81/0.88 % (1215386)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1607688225:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.81/0.88 % (1215388)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1219747907:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.81/0.88 % (1215386)Refutation not found, incomplete strategy
% 2.81/0.88 % (1215386)------------------------------
% 2.81/0.88 % (1215386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.88 % (1215386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.88 % (1215386)CaDiCaL version: 2.1.3
% 2.81/0.88 % (1215386)Termination reason: Refutation not found, incomplete strategy
% 2.81/0.88 % (1215386)Time elapsed: 0.002 s
% 2.81/0.88 % (1215386)Peak memory usage: 11 MB
% 2.81/0.88 % (1215386)Instructions burned: 1 (million)
% 2.81/0.88 % (1215386)------------------------------
% 2.81/0.88 % (1215386)------------------------------
% 2.81/0.88 % (1215363)Instruction limit reached!
% 2.81/0.88 % (1215363)------------------------------
% 2.81/0.88 % (1215363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.88 % (1215363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.88 % (1215363)CaDiCaL version: 2.1.3
% 2.81/0.88 % (1215363)Termination reason: Instruction limit
% 2.81/0.88 % (1215363)Termination phase: Saturation
% 2.81/0.88 % (1215363)Time elapsed: 0.099 s
% 2.81/0.88 % (1215363)Peak memory usage: 12 MB
% 2.81/0.88 % (1215363)Instructions burned: 144 (million)
% 2.81/0.88 % (1215388)Instruction limit reached!
% 2.81/0.88 % (1215388)------------------------------
% 2.81/0.88 % (1215388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.88 % (1215388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.94 % (1215388)CaDiCaL version: 2.1.3
% 3.25/0.94 % (1215388)Termination reason: Instruction limit
% 3.25/0.94 % (1215388)Termination phase: Saturation
% 3.25/0.94 % (1215388)Time elapsed: 0.020 s
% 3.25/0.94 % (1215388)Peak memory usage: 12 MB
% 3.25/0.94 % (1215388)Instructions burned: 21 (million)
% 3.25/0.94 % (1215394)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.25/0.94 % (1215394)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2394827704:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.25/0.94 % (1215385)Instruction limit reached!
% 3.25/0.94 % (1215385)------------------------------
% 3.25/0.94 % (1215385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.94 % (1215385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.94 % (1215385)CaDiCaL version: 2.1.3
% 3.25/0.94 % (1215385)Termination reason: Instruction limit
% 3.25/0.94 % (1215385)Termination phase: Saturation
% 3.25/0.94 % (1215385)Time elapsed: 0.042 s
% 3.25/0.94 % (1215385)Peak memory usage: 12 MB
% 3.25/0.94 % (1215385)Instructions burned: 45 (million)
% 3.25/0.94 % (1215395)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=928728728:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.25/0.94 % (1215396)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=2778291717:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.25/0.94 % (1215398)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2584441132:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.25/0.94 % (1215398)Refutation not found, incomplete strategy
% 3.25/0.94 % (1215398)------------------------------
% 3.25/0.94 % (1215398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.94 % (1215398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.94 % (1215398)CaDiCaL version: 2.1.3
% 3.25/0.94 % (1215398)Termination reason: Refutation not found, incomplete strategy
% 3.25/0.94 % (1215398)Time elapsed: 0.001 s
% 3.25/0.94 % (1215398)Peak memory usage: 12 MB
% 3.25/0.94 % (1215398)Instructions burned: 1 (million)
% 3.25/0.94 % (1215395)Instruction limit reached!
% 3.25/0.94 % (1215395)------------------------------
% 3.25/0.94 % (1215395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.94 % (1215395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.94 % (1215395)CaDiCaL version: 2.1.3
% 3.25/0.94 % (1215395)Termination reason: Instruction limit
% 3.25/0.94 % (1215395)Termination phase: Saturation
% 3.25/0.94 % (1215395)Time elapsed: 0.012 s
% 3.25/0.94 % (1215395)Peak memory usage: 12 MB
% 3.25/0.94 % (1215395)Instructions burned: 13 (million)
% 3.25/0.94 % (1215398)------------------------------
% 3.25/0.94 % (1215398)------------------------------
% 3.25/0.94 % (1215403)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2563001836:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.25/0.94 % (1215402)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2708900976:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.25/0.94 % (1215396)Instruction limit reached!
% 3.25/0.94 % (1215396)------------------------------
% 3.25/0.94 % (1215396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.94 % (1215396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.94 % (1215396)CaDiCaL version: 2.1.3
% 3.25/0.94 % (1215396)Termination reason: Instruction limit
% 3.25/0.94 % (1215396)Termination phase: Saturation
% 3.25/0.94 % (1215396)Time elapsed: 0.051 s
% 3.25/0.94 % (1215396)Peak memory usage: 12 MB
% 3.25/0.94 % (1215396)Instructions burned: 67 (million)
% 3.25/0.94 % (1215402)Instruction limit reached!
% 3.25/0.94 % (1215402)------------------------------
% 3.25/0.94 % (1215402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.94 % (1215402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.94 % (1215402)CaDiCaL version: 2.1.3
% 3.25/0.94 % (1215402)Termination reason: Instruction limit
% 3.25/0.94 % (1215402)Termination phase: Saturation
% 3.25/1.03 % (1215402)Time elapsed: 0.029 s
% 3.25/1.03 % (1215402)Peak memory usage: 12 MB
% 3.25/1.03 % (1215402)Instructions burned: 32 (million)
% 3.25/1.03 % (1215406)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=851854401:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.25/1.03 % (1215407)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3403910096:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.25/1.03 % (1215407)Refutation not found, incomplete strategy
% 3.25/1.03 % (1215407)------------------------------
% 3.25/1.03 % (1215407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/1.03 % (1215407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.03 % (1215407)CaDiCaL version: 2.1.3
% 3.25/1.03 % (1215407)Termination reason: Refutation not found, incomplete strategy
% 3.25/1.03 % (1215407)Time elapsed: 0.002 s
% 3.25/1.03 % (1215407)Peak memory usage: 11 MB
% 3.25/1.03 % (1215407)Instructions burned: 1 (million)
% 3.25/1.03 % (1215407)------------------------------
% 3.25/1.03 % (1215407)------------------------------
% 3.25/1.03 % (1215403)Instruction limit reached!
% 3.25/1.03 % (1215403)------------------------------
% 3.25/1.03 % (1215403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/1.03 % (1215403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.03 % (1215403)CaDiCaL version: 2.1.3
% 3.25/1.03 % (1215403)Termination reason: Instruction limit
% 3.25/1.03 % (1215403)Termination phase: Saturation
% 3.25/1.03 % (1215403)Time elapsed: 0.078 s
% 3.25/1.03 % (1215403)Peak memory usage: 12 MB
% 3.25/1.03 % (1215403)Instructions burned: 137 (million)
% 3.25/1.03 % (1215394)Instruction limit reached!
% 3.25/1.03 % (1215394)------------------------------
% 3.25/1.03 % (1215394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/1.03 % (1215394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.03 % (1215394)CaDiCaL version: 2.1.3
% 3.25/1.03 % (1215394)Termination reason: Instruction limit
% 3.25/1.03 % (1215394)Termination phase: Saturation
% 3.25/1.03 % (1215394)Time elapsed: 0.137 s
% 3.25/1.03 % (1215394)Peak memory usage: 12 MB
% 3.25/1.03 % (1215394)Instructions burned: 201 (million)
% 3.25/1.03 % (1215406)Instruction limit reached!
% 3.25/1.03 % (1215406)------------------------------
% 3.25/1.03 % (1215406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/1.03 % (1215406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.03 % (1215406)CaDiCaL version: 2.1.3
% 3.25/1.03 % (1215406)Termination reason: Instruction limit
% 3.25/1.03 % (1215406)Termination phase: Saturation
% 3.25/1.03 % (1215406)Time elapsed: 0.031 s
% 3.25/1.03 % (1215406)Peak memory usage: 12 MB
% 3.25/1.03 % (1215406)Instructions burned: 34 (million)
% 3.25/1.03 % (1215411)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=4193763154:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 3.25/1.03 % (1215411)Refutation not found, incomplete strategy
% 3.25/1.03 % (1215411)------------------------------
% 3.25/1.03 % (1215411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/1.03 % (1215411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.03 % (1215411)CaDiCaL version: 2.1.3
% 3.25/1.03 % (1215411)Termination reason: Refutation not found, incomplete strategy
% 3.25/1.03 % (1215411)Time elapsed: 0.001 s
% 3.25/1.03 % (1215411)Peak memory usage: 12 MB
% 3.25/1.03 % (1215411)------------------------------
% 3.25/1.03 % (1215411)------------------------------
% 3.25/1.03 % (1215410)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.25/1.03 % (1215410)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3656757887:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 3.25/1.03 % (1215412)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1202109017:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 3.25/1.03 % (1215413)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3095526008:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.25/1.03 % (1215415)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2089450652:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.19/1.08 % (1215413)Refutation not found, incomplete strategy
% 5.19/1.08 % (1215413)------------------------------
% 5.19/1.08 % (1215413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.08 % (1215413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.08 % (1215413)CaDiCaL version: 2.1.3
% 5.19/1.08 % (1215413)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.08 % (1215413)Time elapsed: 0.001 s
% 5.19/1.08 % (1215413)Peak memory usage: 12 MB
% 5.19/1.08 % (1215415)Refutation not found, incomplete strategy
% 5.19/1.08 % (1215415)------------------------------
% 5.19/1.08 % (1215415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.08 % (1215415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.08 % (1215415)CaDiCaL version: 2.1.3
% 5.19/1.08 % (1215415)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.08 % (1215415)Time elapsed: 0.001 s
% 5.19/1.08 % (1215415)Peak memory usage: 11 MB
% 5.19/1.08 % (1215415)------------------------------
% 5.19/1.08 % (1215415)------------------------------
% 5.19/1.08 % (1215413)------------------------------
% 5.19/1.08 % (1215413)------------------------------
% 5.19/1.08 % (1215382)Instruction limit reached!
% 5.19/1.08 % (1215382)------------------------------
% 5.19/1.08 % (1215382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.08 % (1215382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.08 % (1215382)CaDiCaL version: 2.1.3
% 5.19/1.08 % (1215382)Termination reason: Instruction limit
% 5.19/1.08 % (1215382)Termination phase: Saturation
% 5.19/1.08 % (1215382)Time elapsed: 0.250 s
% 5.19/1.08 % (1215382)Peak memory usage: 13 MB
% 5.19/1.08 % (1215382)Instructions burned: 317 (million)
% 5.19/1.08 % (1215420)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1648506572:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.19/1.08 % (1215420)Refutation not found, incomplete strategy
% 5.19/1.08 % (1215420)------------------------------
% 5.19/1.08 % (1215420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.08 % (1215420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.08 % (1215420)CaDiCaL version: 2.1.3
% 5.19/1.08 % (1215420)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.08 % (1215420)Time elapsed: 0.001 s
% 5.19/1.08 % (1215420)Peak memory usage: 12 MB
% 5.19/1.08 % (1215420)------------------------------
% 5.19/1.08 % (1215420)------------------------------
% 5.19/1.08 % (1215421)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3946475677:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.19/1.08 % (1215421)Refutation not found, incomplete strategy
% 5.19/1.08 % (1215421)------------------------------
% 5.19/1.08 % (1215421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.08 % (1215421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.08 % (1215421)CaDiCaL version: 2.1.3
% 5.19/1.08 % (1215421)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.08 % (1215421)Time elapsed: 0.002 s
% 5.19/1.08 % (1215421)Peak memory usage: 11 MB
% 5.19/1.08 % (1215421)Instructions burned: 1 (million)
% 5.19/1.08 % (1215421)------------------------------
% 5.19/1.08 % (1215421)------------------------------
% 5.19/1.08 % (1215384)Instruction limit reached!
% 5.19/1.08 % (1215384)------------------------------
% 5.19/1.08 % (1215384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.08 % (1215384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.08 % (1215384)CaDiCaL version: 2.1.3
% 5.19/1.08 % (1215384)Termination reason: Instruction limit
% 5.19/1.08 % (1215384)Termination phase: Saturation
% 5.19/1.08 % (1215384)Time elapsed: 0.277 s
% 5.19/1.08 % (1215384)Peak memory usage: 13 MB
% 5.19/1.08 % (1215384)Instructions burned: 853 (million)
% 5.19/1.08 % (1215423)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=23280027:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 5.19/1.08 % (1215426)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=344676204:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 5.19/1.08 % (1215424)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=20698080:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 5.68/1.16 % (1215424)Refutation not found, incomplete strategy
% 5.68/1.16 % (1215424)------------------------------
% 5.68/1.16 % (1215424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.16 % (1215424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.16 % (1215424)CaDiCaL version: 2.1.3
% 5.68/1.16 % (1215424)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.16 % (1215424)Time elapsed: 0.002 s
% 5.68/1.16 % (1215424)Peak memory usage: 12 MB
% 5.68/1.16 % (1215424)Instructions burned: 1 (million)
% 5.68/1.16 % (1215424)------------------------------
% 5.68/1.16 % (1215424)------------------------------
% 5.68/1.16 % (1215412)Instruction limit reached!
% 5.68/1.16 % (1215412)------------------------------
% 5.68/1.16 % (1215412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.16 % (1215412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.16 % (1215412)CaDiCaL version: 2.1.3
% 5.68/1.16 % (1215412)Termination reason: Instruction limit
% 5.68/1.16 % (1215412)Termination phase: Saturation
% 5.68/1.16 % (1215412)Time elapsed: 0.078 s
% 5.68/1.16 % (1215412)Peak memory usage: 12 MB
% 5.68/1.16 % (1215412)Instructions burned: 96 (million)
% 5.68/1.16 % (1215427)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=795613248:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.68/1.16 % (1215432)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2271950817:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2993 on theBenchmark for (2993ds/105Mi)
% 5.68/1.16 % (1215423)Instruction limit reached!
% 5.68/1.16 % (1215423)------------------------------
% 5.68/1.16 % (1215423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.16 % (1215423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.16 % (1215423)CaDiCaL version: 2.1.3
% 5.68/1.16 % (1215423)Termination reason: Instruction limit
% 5.68/1.16 % (1215423)Termination phase: Saturation
% 5.68/1.16 % (1215423)Time elapsed: 0.038 s
% 5.68/1.16 % (1215423)Peak memory usage: 12 MB
% 5.68/1.16 % (1215423)Instructions burned: 45 (million)
% 5.68/1.16 % (1215431)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=1594130662:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.68/1.16 % (1215436)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=689882163:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 5.68/1.16 % (1215436)Refutation not found, incomplete strategy
% 5.68/1.16 % (1215436)------------------------------
% 5.68/1.16 % (1215436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.16 % (1215436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.16 % (1215436)CaDiCaL version: 2.1.3
% 5.68/1.16 % (1215436)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.16 % (1215436)Time elapsed: 0.001 s
% 5.68/1.16 % (1215436)Peak memory usage: 12 MB
% 5.68/1.16 % (1215410)Instruction limit reached!
% 5.68/1.16 % (1215410)------------------------------
% 5.68/1.16 % (1215410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.16 % (1215410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.16 % (1215410)CaDiCaL version: 2.1.3
% 5.68/1.16 % (1215410)Termination reason: Instruction limit
% 5.68/1.16 % (1215410)Termination phase: Saturation
% 5.68/1.16 % (1215410)Time elapsed: 0.144 s
% 5.68/1.16 % (1215410)Peak memory usage: 12 MB
% 5.68/1.16 % (1215410)Instructions burned: 180 (million)
% 5.68/1.16 % (1215436)------------------------------
% 5.68/1.16 % (1215436)------------------------------
% 5.68/1.16 % (1215431)Instruction limit reached!
% 5.68/1.16 % (1215431)------------------------------
% 5.68/1.16 % (1215431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.16 % (1215431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.36 % (1215431)CaDiCaL version: 2.1.3
% 6.08/1.36 % (1215431)Termination reason: Instruction limit
% 6.08/1.36 % (1215431)Termination phase: Saturation
% 6.08/1.36 % (1215431)Time elapsed: 0.054 s
% 6.08/1.36 % (1215431)Peak memory usage: 12 MB
% 6.08/1.36 % (1215431)Instructions burned: 66 (million)
% 6.08/1.36 % (1215427)Instruction limit reached!
% 6.08/1.36 % (1215427)------------------------------
% 6.08/1.36 % (1215427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.36 % (1215427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.36 % (1215427)CaDiCaL version: 2.1.3
% 6.08/1.36 % (1215427)Termination reason: Instruction limit
% 6.08/1.36 % (1215427)Termination phase: Saturation
% 6.08/1.36 % (1215427)Time elapsed: 0.071 s
% 6.08/1.36 % (1215427)Peak memory usage: 12 MB
% 6.08/1.36 % (1215427)Instructions burned: 95 (million)
% 6.08/1.36 % (1215438)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=4201442209:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 6.08/1.36 % (1215439)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3104170641:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 6.08/1.36 % (1215438)Refutation not found, incomplete strategy
% 6.08/1.36 % (1215438)------------------------------
% 6.08/1.36 % (1215438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.36 % (1215438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.36 % (1215438)CaDiCaL version: 2.1.3
% 6.08/1.36 % (1215438)Termination reason: Refutation not found, incomplete strategy
% 6.08/1.36 % (1215438)Time elapsed: 0.001 s
% 6.08/1.36 % (1215438)Peak memory usage: 11 MB
% 6.08/1.36 % (1215438)------------------------------
% 6.08/1.36 % (1215438)------------------------------
% 6.08/1.36 % (1215432)Instruction limit reached!
% 6.08/1.36 % (1215432)------------------------------
% 6.08/1.36 % (1215432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.36 % (1215432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.36 % (1215432)CaDiCaL version: 2.1.3
% 6.08/1.36 % (1215432)Termination reason: Instruction limit
% 6.08/1.36 % (1215432)Termination phase: Saturation
% 6.08/1.36 % (1215432)Time elapsed: 0.083 s
% 6.08/1.36 % (1215432)Peak memory usage: 12 MB
% 6.08/1.36 % (1215432)Instructions burned: 105 (million)
% 6.08/1.36 % (1215441)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2770698084:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 6.08/1.36 % (1215440)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3090663553:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 6.08/1.36 % (1215444)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2441000336:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 6.08/1.36 % (1215445)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1809042687:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.08/1.36 % (1215444)Refutation not found, incomplete strategy
% 6.08/1.36 % (1215444)------------------------------
% 6.08/1.36 % (1215444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.36 % (1215444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.36 % (1215444)CaDiCaL version: 2.1.3
% 6.08/1.36 % (1215444)Termination reason: Refutation not found, incomplete strategy
% 6.08/1.36 % (1215444)Time elapsed: 0.001 s
% 6.08/1.36 % (1215444)Peak memory usage: 11 MB
% 6.08/1.36 % (1215444)------------------------------
% 6.08/1.36 % (1215444)------------------------------
% 6.08/1.36 % (1215426)Instruction limit reached!
% 6.08/1.36 % (1215426)------------------------------
% 6.08/1.36 % (1215426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.36 % (1215426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.36 % (1215426)CaDiCaL version: 2.1.3
% 6.08/1.36 % (1215426)Termination reason: Instruction limit
% 6.08/1.36 % (1215426)Termination phase: Saturation
% 6.08/1.36 % (1215426)Time elapsed: 0.143 s
% 6.08/1.36 % (1215426)Peak memory usage: 12 MB
% 6.08/1.36 % (1215426)Instructions burned: 453 (million)
% 6.92/1.43 % (1215445)Instruction limit reached!
% 6.92/1.43 % (1215445)------------------------------
% 6.92/1.43 % (1215445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.92/1.43 % (1215445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.43 % (1215445)CaDiCaL version: 2.1.3
% 6.92/1.43 % (1215445)Termination reason: Instruction limit
% 6.92/1.43 % (1215445)Termination phase: Saturation
% 6.92/1.43 % (1215445)Time elapsed: 0.013 s
% 6.92/1.43 % (1215445)Peak memory usage: 12 MB
% 6.92/1.43 % (1215445)Instructions burned: 24 (million)
% 6.92/1.43 % (1215440)Instruction limit reached!
% 6.92/1.43 % (1215440)------------------------------
% 6.92/1.43 % (1215440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.92/1.43 % (1215440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.43 % (1215440)CaDiCaL version: 2.1.3
% 6.92/1.43 % (1215440)Termination reason: Instruction limit
% 6.92/1.43 % (1215440)Termination phase: Saturation
% 6.92/1.43 % (1215440)Time elapsed: 0.031 s
% 6.92/1.43 % (1215440)Peak memory usage: 12 MB
% 6.92/1.43 % (1215440)Instructions burned: 34 (million)
% 6.92/1.43 % (1215452)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.92/1.43 % (1215452)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2121398448:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/137Mi)
% 6.92/1.43 % (1215450)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=3171847992:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 6.92/1.43 % (1215453)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=4034406253:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/340Mi)
% 6.92/1.43 % (1215451)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3494932684:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 6.92/1.43 % (1215451)Refutation not found, incomplete strategy
% 6.92/1.43 % (1215451)------------------------------
% 6.92/1.43 % (1215451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.92/1.43 % (1215451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.43 % (1215451)CaDiCaL version: 2.1.3
% 6.92/1.43 % (1215451)Termination reason: Refutation not found, incomplete strategy
% 6.92/1.43 % (1215451)Time elapsed: 0.001 s
% 6.92/1.43 % (1215451)Peak memory usage: 11 MB
% 6.92/1.43 % (1215451)------------------------------
% 6.92/1.43 % (1215451)------------------------------
% 6.92/1.43 % (1215441)Instruction limit reached!
% 6.92/1.43 % (1215441)------------------------------
% 6.92/1.43 % (1215441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.92/1.43 % (1215441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.43 % (1215441)CaDiCaL version: 2.1.3
% 6.92/1.43 % (1215441)Termination reason: Instruction limit
% 6.92/1.43 % (1215441)Termination phase: Saturation
% 6.92/1.43 % (1215441)Time elapsed: 0.069 s
% 6.92/1.43 % (1215441)Peak memory usage: 12 MB
% 6.92/1.43 % (1215441)Instructions burned: 91 (million)
% 6.92/1.43 % (1215458)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=437487548:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 6.92/1.43 % (1215458)Refutation not found, incomplete strategy
% 6.92/1.43 % (1215458)------------------------------
% 6.92/1.43 % (1215458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.92/1.43 % (1215458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.43 % (1215458)CaDiCaL version: 2.1.3
% 6.92/1.43 % (1215458)Termination reason: Refutation not found, incomplete strategy
% 6.92/1.43 % (1215458)Time elapsed: 0.001 s
% 6.92/1.43 % (1215458)Peak memory usage: 11 MB
% 6.92/1.43 % (1215458)------------------------------
% 6.92/1.43 % (1215458)------------------------------
% 6.92/1.43 % (1215459)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.92/1.43 % (1215452)Instruction limit reached!
% 6.92/1.43 % (1215452)------------------------------
% 6.92/1.43 % (1215452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.92/1.48 % (1215452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.48 % (1215452)CaDiCaL version: 2.1.3
% 6.92/1.48 % (1215452)Termination reason: Instruction limit
% 6.92/1.48 % (1215452)Termination phase: Saturation
% 6.92/1.48 % (1215452)Time elapsed: 0.050 s
% 6.92/1.48 % (1215452)Peak memory usage: 12 MB
% 6.92/1.48 % (1215452)Instructions burned: 137 (million)
% 6.92/1.48 % (1215459)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3217750091:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 6.92/1.48 % (1215462)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3593389287:i=575:rtra=on_2991 on theBenchmark for (2991ds/575Mi)
% 6.92/1.48 % (1215462)Refutation not found, incomplete strategy
% 6.92/1.48 % (1215462)------------------------------
% 6.92/1.48 % (1215462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.92/1.48 % (1215462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.48 % (1215462)CaDiCaL version: 2.1.3
% 6.92/1.48 % (1215462)Termination reason: Refutation not found, incomplete strategy
% 6.92/1.48 % (1215462)Time elapsed: 0.001 s
% 6.92/1.48 % (1215462)Peak memory usage: 12 MB
% 6.92/1.48 % (1215462)Instructions burned: 1 (million)
% 6.92/1.48 % (1215462)------------------------------
% 6.92/1.48 % (1215462)------------------------------
% 6.92/1.48 % (1215461)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3341132452:i=116:ep=RSTC:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/116Mi)
% 6.92/1.48 % (1215465)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3820104614:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2991 on theBenchmark for (2991ds/270Mi)
% 6.92/1.48 % (1215461)Instruction limit reached!
% 6.92/1.48 % (1215461)------------------------------
% 6.92/1.48 % (1215461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.92/1.48 % (1215461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.48 % (1215461)CaDiCaL version: 2.1.3
% 6.92/1.48 % (1215461)Termination reason: Instruction limit
% 6.92/1.48 % (1215461)Termination phase: Saturation
% 6.92/1.48 % (1215461)Time elapsed: 0.084 s
% 6.92/1.48 % (1215461)Peak memory usage: 12 MB
% 6.92/1.48 % (1215461)Instructions burned: 117 (million)
% 6.92/1.48 % (1215468)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=961272895:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2990 on theBenchmark for (2990ds/9840Mi)
% 6.92/1.48 % (1215465)Instruction limit reached!
% 6.92/1.48 % (1215465)------------------------------
% 6.92/1.48 % (1215465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.92/1.48 % (1215465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.48 % (1215465)CaDiCaL version: 2.1.3
% 6.92/1.48 % (1215465)Termination reason: Instruction limit
% 6.92/1.48 % (1215465)Termination phase: Saturation
% 6.92/1.48 % (1215465)Time elapsed: 0.110 s
% 6.92/1.48 % (1215465)Peak memory usage: 13 MB
% 6.92/1.48 % (1215465)Instructions burned: 272 (million)
% 6.92/1.48 % (1215470)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3745729273:i=421:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/421Mi)
% 6.92/1.48 % (1215470)Refutation not found, incomplete strategy
% 6.92/1.48 % (1215470)------------------------------
% 6.92/1.48 % (1215470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.92/1.48 % (1215470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.48 % (1215470)CaDiCaL version: 2.1.3
% 6.92/1.48 % (1215470)Termination reason: Refutation not found, incomplete strategy
% 6.92/1.48 % (1215470)Time elapsed: 0.0000 s
% 6.92/1.48 % (1215470)Peak memory usage: 11 MB
% 6.92/1.48 % (1215470)------------------------------
% 6.92/1.48 % (1215470)------------------------------
% 6.92/1.48 % (1215472)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 6.92/1.48 % (1215472)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=3839793997:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/270Mi)
% 7.91/1.54 % (1215453)Instruction limit reached!
% 7.91/1.54 % (1215453)------------------------------
% 7.91/1.54 % (1215453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.54 % (1215453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.54 % (1215453)CaDiCaL version: 2.1.3
% 7.91/1.54 % (1215453)Termination reason: Instruction limit
% 7.91/1.54 % (1215453)Termination phase: Saturation
% 7.91/1.54 % (1215453)Time elapsed: 0.255 s
% 7.91/1.54 % (1215453)Peak memory usage: 12 MB
% 7.91/1.54 % (1215453)Instructions burned: 341 (million)
% 7.91/1.54 % (1215450)Instruction limit reached!
% 7.91/1.54 % (1215450)------------------------------
% 7.91/1.54 % (1215450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.54 % (1215450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.54 % (1215450)CaDiCaL version: 2.1.3
% 7.91/1.54 % (1215450)Termination reason: Instruction limit
% 7.91/1.54 % (1215450)Termination phase: Saturation
% 7.91/1.54 % (1215450)Time elapsed: 0.262 s
% 7.91/1.54 % (1215450)Peak memory usage: 14 MB
% 7.91/1.54 % (1215450)Instructions burned: 338 (million)
% 7.91/1.54 % (1215474)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=853777287:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 7.91/1.54 % (1215361)Instruction limit reached!
% 7.91/1.54 % (1215361)------------------------------
% 7.91/1.54 % (1215361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.54 % (1215361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.54 % (1215361)CaDiCaL version: 2.1.3
% 7.91/1.54 % (1215361)Termination reason: Instruction limit
% 7.91/1.54 % (1215361)Termination phase: Saturation
% 7.91/1.54 % (1215361)Time elapsed: 0.808 s
% 7.91/1.54 % (1215361)Peak memory usage: 12 MB
% 7.91/1.54 % (1215361)Instructions burned: 1241 (million)
% 7.91/1.54 % (1215475)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.91/1.54 % (1215475)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.91/1.54 % (1215474)Instruction limit reached!
% 7.91/1.54 % (1215474)------------------------------
% 7.91/1.54 % (1215474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.54 % (1215474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.54 % (1215475)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=633963949:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 7.91/1.54 % (1215474)CaDiCaL version: 2.1.3
% 7.91/1.54 % (1215474)Termination reason: Instruction limit
% 7.91/1.54 % (1215474)Termination phase: Saturation
% 7.91/1.54 % (1215474)Time elapsed: 0.015 s
% 7.91/1.54 % (1215474)Peak memory usage: 12 MB
% 7.91/1.54 % (1215474)Instructions burned: 32 (million)
% 7.91/1.54 % (1215477)dis+10_2_sil=128000:si=on:random_seed=1993778766:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2989 on theBenchmark for (2989ds/339Mi)
% 7.91/1.54 % (1215477)Refutation not found, incomplete strategy
% 7.91/1.54 % (1215477)------------------------------
% 7.91/1.54 % (1215477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.54 % (1215477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.54 % (1215477)CaDiCaL version: 2.1.3
% 7.91/1.54 % (1215477)Termination reason: Refutation not found, incomplete strategy
% 7.91/1.54 % (1215477)Time elapsed: 0.001 s
% 7.91/1.54 % (1215477)Peak memory usage: 11 MB
% 7.91/1.54 % (1215477)------------------------------
% 7.91/1.54 % (1215477)------------------------------
% 7.91/1.54 % (1215479)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2495893720:i=111:add=on:fgj=on:rtra=on:fdi=1024_2989 on theBenchmark for (2989ds/111Mi)
% 7.91/1.54 % (1215439)Instruction limit reached!
% 7.91/1.54 % (1215439)------------------------------
% 7.91/1.54 % (1215439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.54 % (1215439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.66 % (1215439)CaDiCaL version: 2.1.3
% 8.32/1.66 % (1215439)Termination reason: Instruction limit
% 8.32/1.66 % (1215439)Termination phase: Saturation
% 8.32/1.66 % (1215439)Time elapsed: 0.387 s
% 8.32/1.66 % (1215439)Peak memory usage: 13 MB
% 8.32/1.66 % (1215439)Instructions burned: 495 (million)
% 8.32/1.66 % (1215481)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2494769867:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/122Mi)
% 8.32/1.66 % (1215481)Refutation not found, incomplete strategy
% 8.32/1.66 % (1215481)------------------------------
% 8.32/1.66 % (1215481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.32/1.66 % (1215481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.66 % (1215481)CaDiCaL version: 2.1.3
% 8.32/1.66 % (1215481)Termination reason: Refutation not found, incomplete strategy
% 8.32/1.66 % (1215481)Time elapsed: 0.001 s
% 8.32/1.66 % (1215481)Peak memory usage: 11 MB
% 8.32/1.66 % (1215481)------------------------------
% 8.32/1.66 % (1215481)------------------------------
% 8.32/1.66 % (1215485)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4167275823:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/232Mi)
% 8.32/1.66 % (1215485)Refutation not found, incomplete strategy
% 8.32/1.66 % (1215485)------------------------------
% 8.32/1.66 % (1215485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.32/1.66 % (1215485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.66 % (1215485)CaDiCaL version: 2.1.3
% 8.32/1.66 % (1215485)Termination reason: Refutation not found, incomplete strategy
% 8.32/1.66 % (1215485)Time elapsed: 0.001 s
% 8.32/1.66 % (1215485)Peak memory usage: 11 MB
% 8.32/1.66 % (1215485)------------------------------
% 8.32/1.66 % (1215485)------------------------------
% 8.32/1.66 % (1215483)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=1741880660:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/136Mi)
% 8.32/1.66 % (1215483)Refutation not found, incomplete strategy
% 8.32/1.66 % (1215483)------------------------------
% 8.32/1.66 % (1215483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.32/1.66 % (1215483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.66 % (1215483)CaDiCaL version: 2.1.3
% 8.32/1.66 % (1215483)Termination reason: Refutation not found, incomplete strategy
% 8.32/1.66 % (1215483)Time elapsed: 0.002 s
% 8.32/1.66 % (1215483)Peak memory usage: 11 MB
% 8.32/1.66 % (1215483)Instructions burned: 1 (million)
% 8.32/1.66 % (1215483)------------------------------
% 8.32/1.66 % (1215483)------------------------------
% 8.32/1.66 % (1215479)Instruction limit reached!
% 8.32/1.66 % (1215479)------------------------------
% 8.32/1.66 % (1215479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.32/1.66 % (1215479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.66 % (1215479)CaDiCaL version: 2.1.3
% 8.32/1.66 % (1215479)Termination reason: Instruction limit
% 8.32/1.66 % (1215479)Termination phase: Saturation
% 8.32/1.66 % (1215479)Time elapsed: 0.047 s
% 8.32/1.66 % (1215479)Peak memory usage: 12 MB
% 8.32/1.66 % (1215479)Instructions burned: 112 (million)
% 8.32/1.66 % (1215459)Instruction limit reached!
% 8.32/1.66 % (1215459)------------------------------
% 8.32/1.66 % (1215459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.32/1.66 % (1215459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.66 % (1215459)CaDiCaL version: 2.1.3
% 8.32/1.66 % (1215459)Termination reason: Instruction limit
% 8.32/1.66 % (1215459)Termination phase: Saturation
% 8.32/1.66 % (1215459)Time elapsed: 0.311 s
% 8.32/1.66 % (1215459)Peak memory usage: 13 MB
% 8.32/1.66 % (1215459)Instructions burned: 374 (million)
% 8.32/1.66 % (1215487)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=4174600982:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2988 on theBenchmark for (2988ds/1254Mi)
% 8.32/1.66 % (1215487)Refutation not found, incomplete strategy
% 8.32/1.66 % (1215487)------------------------------
% 8.32/1.66 % (1215487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.83 % (1215487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.83 % (1215487)CaDiCaL version: 2.1.3
% 9.24/1.83 % (1215487)Termination reason: Refutation not found, incomplete strategy
% 9.24/1.83 % (1215487)Time elapsed: 0.002 s
% 9.24/1.83 % (1215487)Peak memory usage: 11 MB
% 9.24/1.83 % (1215487)Instructions burned: 2 (million)
% 9.24/1.83 % (1215487)------------------------------
% 9.24/1.83 % (1215487)------------------------------
% 9.24/1.83 % (1215489)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.24/1.83 % (1215489)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=521113020:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2988 on theBenchmark for (2988ds/281Mi)
% 9.24/1.83 % (1215490)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1991738383:i=619:add=on:rtra=on_2988 on theBenchmark for (2988ds/619Mi)
% 9.24/1.83 % (1215493)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3566217365:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/212Mi)
% 9.24/1.83 % (1215490)Refutation not found, incomplete strategy
% 9.24/1.83 % (1215490)------------------------------
% 9.24/1.83 % (1215490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.83 % (1215490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.83 % (1215490)CaDiCaL version: 2.1.3
% 9.24/1.83 % (1215490)Termination reason: Refutation not found, incomplete strategy
% 9.24/1.83 % (1215490)Time elapsed: 0.003 s
% 9.24/1.83 % (1215490)Peak memory usage: 12 MB
% 9.24/1.83 % (1215490)Instructions burned: 2 (million)
% 9.24/1.83 % (1215493)Refutation not found, incomplete strategy
% 9.24/1.83 % (1215493)------------------------------
% 9.24/1.83 % (1215493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.83 % (1215493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.83 % (1215493)CaDiCaL version: 2.1.3
% 9.24/1.83 % (1215493)Termination reason: Refutation not found, incomplete strategy
% 9.24/1.83 % (1215493)Time elapsed: 0.0000 s
% 9.24/1.83 % (1215493)Peak memory usage: 11 MB
% 9.24/1.83 % (1215493)------------------------------
% 9.24/1.83 % (1215493)------------------------------
% 9.24/1.83 % (1215490)------------------------------
% 9.24/1.83 % (1215490)------------------------------
% 9.24/1.83 % (1215491)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=545898382:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/865Mi)
% 9.24/1.83 % (1215499)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=420048258:st=1.5:i=346:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/346Mi)
% 9.24/1.83 % (1215498)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2112285121:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/130Mi)
% 9.24/1.83 % (1215498)Refutation not found, incomplete strategy
% 9.24/1.83 % (1215498)------------------------------
% 9.24/1.83 % (1215498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.83 % (1215499)Refutation not found, incomplete strategy
% 9.24/1.83 % (1215499)------------------------------
% 9.24/1.83 % (1215499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.24/1.83 % (1215499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.83 % (1215498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/1.83 % (1215499)CaDiCaL version: 2.1.3
% 9.24/1.83 % (1215498)CaDiCaL version: 2.1.3
% 9.24/1.83 % (1215499)Termination reason: Refutation not found, incomplete strategy
% 9.24/1.83 % (1215499)Time elapsed: 0.001 s
% 9.24/1.83 % (1215498)Termination reason: Refutation not found, incomplete strategy
% 9.24/1.83 % (1215498)Time elapsed: 0.001 s
% 9.24/1.83 % (1215499)Peak memory usage: 11 MB
% 9.24/1.83 % (1215499)Instructions burned: 1 (million)
% 9.24/1.83 % (1215498)Peak memory usage: 12 MB
% 9.24/1.83 % (1215499)------------------------------
% 9.24/1.83 % (1215499)------------------------------
% 9.24/1.83 % (1215498)------------------------------
% 9.24/1.83 % (1215498)------------------------------
% 9.24/1.83 % (1215472)Instruction limit reached!
% 9.24/1.83 % (1215472)------------------------------
% 12.82/2.16 % (1215472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.82/2.16 % (1215472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.16 % (1215472)CaDiCaL version: 2.1.3
% 12.82/2.16 % (1215472)Termination reason: Instruction limit
% 12.82/2.16 % (1215472)Termination phase: Saturation
% 12.82/2.16 % (1215472)Time elapsed: 0.180 s
% 12.82/2.16 % (1215472)Peak memory usage: 13 MB
% 12.82/2.16 % (1215472)Instructions burned: 270 (million)
% 12.82/2.16 % (1215503)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1308956407:i=75:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/75Mi)
% 12.82/2.16 % (1215502)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1128341076:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 12.82/2.16 % (1215504)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=489388527:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/387Mi)
% 12.82/2.16 % (1215503)Instruction limit reached!
% 12.82/2.16 % (1215503)------------------------------
% 12.82/2.16 % (1215503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.82/2.16 % (1215503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.16 % (1215503)CaDiCaL version: 2.1.3
% 12.82/2.16 % (1215503)Termination reason: Instruction limit
% 12.82/2.16 % (1215503)Termination phase: Saturation
% 12.82/2.16 % (1215503)Time elapsed: 0.031 s
% 12.82/2.16 % (1215503)Peak memory usage: 12 MB
% 12.82/2.16 % (1215503)Instructions burned: 76 (million)
% 12.82/2.16 % (1215504)Refutation not found, incomplete strategy
% 12.82/2.16 % (1215504)------------------------------
% 12.82/2.16 % (1215504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.82/2.16 % (1215504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.16 % (1215504)CaDiCaL version: 2.1.3
% 12.82/2.16 % (1215504)Termination reason: Refutation not found, incomplete strategy
% 12.82/2.16 % (1215504)Time elapsed: 0.002 s
% 12.82/2.16 % (1215504)Peak memory usage: 11 MB
% 12.82/2.16 % (1215504)Instructions burned: 1 (million)
% 12.82/2.16 % (1215504)------------------------------
% 12.82/2.16 % (1215504)------------------------------
% 12.82/2.16 % (1215508)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1681331209:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2987 on theBenchmark for (2987ds/148Mi)
% 12.82/2.16 % (1215509)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2539481190:i=161:piset=and:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/161Mi)
% 12.82/2.16 % (1215502)Instruction limit reached!
% 12.82/2.16 % (1215502)------------------------------
% 12.82/2.16 % (1215502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.82/2.16 % (1215502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.16 % (1215502)CaDiCaL version: 2.1.3
% 12.82/2.16 % (1215502)Termination reason: Instruction limit
% 12.82/2.16 % (1215502)Termination phase: Saturation
% 12.82/2.16 % (1215502)Time elapsed: 0.082 s
% 12.82/2.16 % (1215502)Peak memory usage: 12 MB
% 12.82/2.16 % (1215502)Instructions burned: 153 (million)
% 12.82/2.16 % (1215512)lrs+10_1_sil=128000:si=on:random_seed=1187085760:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/888Mi)
% 12.82/2.16 % (1215512)Refutation not found, incomplete strategy
% 12.82/2.16 % (1215512)------------------------------
% 12.82/2.16 % (1215512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.82/2.16 % (1215512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.16 % (1215512)CaDiCaL version: 2.1.3
% 12.82/2.16 % (1215512)Termination reason: Refutation not found, incomplete strategy
% 12.82/2.16 % (1215512)Time elapsed: 0.001 s
% 12.82/2.16 % (1215512)Peak memory usage: 11 MB
% 12.82/2.16 % (1215512)------------------------------
% 12.82/2.16 % (1215512)------------------------------
% 12.82/2.16 % (1215508)Instruction limit reached!
% 12.82/2.16 % (1215508)------------------------------
% 12.82/2.16 % (1215508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.82/2.16 % (1215508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.16 % (1215508)CaDiCaL version: 2.1.3
% 12.82/2.16 % (1215508)Termination reason: Instruction limit
% 12.82/2.16 % (1215508)Termination phase: Saturation
% 12.67/2.36 % (1215508)Time elapsed: 0.063 s
% 12.67/2.36 % (1215508)Peak memory usage: 12 MB
% 12.67/2.36 % (1215508)Instructions burned: 150 (million)
% 12.67/2.36 % (1215514)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=251878983:i=136:add=on:ins=4:rtra=on:sup=off_2986 on theBenchmark for (2986ds/136Mi)
% 12.67/2.36 % (1215515)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=2181093465:i=88:s2at=3:nm=2:rtra=on:rawr=on_2986 on theBenchmark for (2986ds/88Mi)
% 12.67/2.36 % (1215509)Instruction limit reached!
% 12.67/2.36 % (1215509)------------------------------
% 12.67/2.36 % (1215509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.67/2.36 % (1215509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.67/2.36 % (1215509)CaDiCaL version: 2.1.3
% 12.67/2.36 % (1215509)Termination reason: Instruction limit
% 12.67/2.36 % (1215509)Termination phase: Saturation
% 12.67/2.36 % (1215509)Time elapsed: 0.103 s
% 12.67/2.36 % (1215509)Peak memory usage: 12 MB
% 12.67/2.36 % (1215509)Instructions burned: 162 (million)
% 12.67/2.36 % (1215518)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1364699242:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2985 on theBenchmark for (2985ds/93Mi)
% 12.67/2.36 % (1215489)Instruction limit reached!
% 12.67/2.36 % (1215489)------------------------------
% 12.67/2.36 % (1215489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.67/2.36 % (1215489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.67/2.36 % (1215489)CaDiCaL version: 2.1.3
% 12.67/2.36 % (1215489)Termination reason: Instruction limit
% 12.67/2.36 % (1215489)Termination phase: Saturation
% 12.67/2.36 % (1215489)Time elapsed: 0.244 s
% 12.67/2.36 % (1215489)Peak memory usage: 13 MB
% 12.67/2.36 % (1215489)Instructions burned: 282 (million)
% 12.67/2.36 % (1215515)Instruction limit reached!
% 12.67/2.36 % (1215515)------------------------------
% 12.67/2.36 % (1215515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.67/2.36 % (1215515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.67/2.36 % (1215515)CaDiCaL version: 2.1.3
% 12.67/2.36 % (1215515)Termination reason: Instruction limit
% 12.67/2.36 % (1215515)Termination phase: Saturation
% 12.67/2.36 % (1215515)Time elapsed: 0.053 s
% 12.67/2.36 % (1215515)Peak memory usage: 12 MB
% 12.67/2.36 % (1215515)Instructions burned: 88 (million)
% 12.67/2.36 % (1215521)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1939437524:s2a=on:i=240:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/240Mi)
% 12.67/2.36 % (1215520)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2910389603:i=2186:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/2186Mi)
% 12.67/2.36 % (1215518)Instruction limit reached!
% 12.67/2.36 % (1215518)------------------------------
% 12.67/2.36 % (1215518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.67/2.36 % (1215518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.67/2.36 % (1215518)CaDiCaL version: 2.1.3
% 12.67/2.36 % (1215518)Termination reason: Instruction limit
% 12.67/2.36 % (1215518)Termination phase: Saturation
% 12.67/2.36 % (1215518)Time elapsed: 0.046 s
% 12.67/2.36 % (1215518)Peak memory usage: 12 MB
% 12.67/2.36 % (1215518)Instructions burned: 95 (million)
% 12.67/2.36 % (1215514)Instruction limit reached!
% 12.67/2.36 % (1215514)------------------------------
% 12.67/2.36 % (1215514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.67/2.36 % (1215514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.67/2.36 % (1215514)CaDiCaL version: 2.1.3
% 12.67/2.36 % (1215514)Termination reason: Instruction limit
% 12.67/2.36 % (1215514)Termination phase: Saturation
% 12.67/2.36 % (1215514)Time elapsed: 0.103 s
% 12.67/2.36 % (1215514)Peak memory usage: 12 MB
% 12.67/2.36 % (1215514)Instructions burned: 136 (million)
% 12.67/2.36 % (1215524)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=4012715644:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/805Mi)
% 12.67/2.36 % (1215525)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 12.67/2.36 % (1215525)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=322454185:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2985 on theBenchmark for (2985ds/391Mi)
% 14.88/2.55 % (1215525)Refutation not found, incomplete strategy
% 14.88/2.55 % (1215525)------------------------------
% 14.88/2.55 % (1215525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.88/2.55 % (1215525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/2.55 % (1215525)CaDiCaL version: 2.1.3
% 14.88/2.55 % (1215525)Termination reason: Refutation not found, incomplete strategy
% 14.88/2.55 % (1215525)Time elapsed: 0.002 s
% 14.88/2.55 % (1215525)Peak memory usage: 11 MB
% 14.88/2.55 % (1215525)Instructions burned: 1 (million)
% 14.88/2.55 % (1215525)------------------------------
% 14.88/2.55 % (1215525)------------------------------
% 14.88/2.55 % (1215521)Instruction limit reached!
% 14.88/2.55 % (1215521)------------------------------
% 14.88/2.55 % (1215521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.88/2.55 % (1215521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/2.55 % (1215521)CaDiCaL version: 2.1.3
% 14.88/2.55 % (1215521)Termination reason: Instruction limit
% 14.88/2.55 % (1215521)Termination phase: Saturation
% 14.88/2.55 % (1215521)Time elapsed: 0.092 s
% 14.88/2.55 % (1215521)Peak memory usage: 13 MB
% 14.88/2.55 % (1215521)Instructions burned: 242 (million)
% 14.88/2.55 % (1215528)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=852601900:i=355:av=off:fsr=off:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/355Mi)
% 14.88/2.55 % (1215529)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2631413951:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/314Mi)
% 14.88/2.55 % (1215529)Refutation not found, incomplete strategy
% 14.88/2.55 % (1215529)------------------------------
% 14.88/2.55 % (1215529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.88/2.55 % (1215529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/2.55 % (1215529)CaDiCaL version: 2.1.3
% 14.88/2.55 % (1215529)Termination reason: Refutation not found, incomplete strategy
% 14.88/2.55 % (1215529)Time elapsed: 0.001 s
% 14.88/2.55 % (1215529)Peak memory usage: 11 MB
% 14.88/2.55 % (1215529)------------------------------
% 14.88/2.55 % (1215529)------------------------------
% 14.88/2.55 % (1215532)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1394144781:s2a=on:i=251:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/251Mi)
% 14.88/2.55 % (1215532)Instruction limit reached!
% 14.88/2.55 % (1215532)------------------------------
% 14.88/2.55 % (1215532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.88/2.55 % (1215532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/2.55 % (1215532)CaDiCaL version: 2.1.3
% 14.88/2.55 % (1215532)Termination reason: Instruction limit
% 14.88/2.55 % (1215532)Termination phase: Saturation
% 14.88/2.55 % (1215532)Time elapsed: 0.109 s
% 14.88/2.55 % (1215532)Peak memory usage: 12 MB
% 14.88/2.55 % (1215532)Instructions burned: 253 (million)
% 14.88/2.55 % (1215534)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=21388403:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2982 on theBenchmark for (2982ds/2470Mi)
% 14.88/2.55 % (1215528)Instruction limit reached!
% 14.88/2.55 % (1215528)------------------------------
% 14.88/2.55 % (1215528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.88/2.55 % (1215528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.88/2.55 % (1215528)CaDiCaL version: 2.1.3
% 14.88/2.55 % (1215528)Termination reason: Instruction limit
% 14.88/2.55 % (1215528)Termination phase: Saturation
% 14.88/2.55 % (1215528)Time elapsed: 0.240 s
% 14.88/2.55 % (1215528)Peak memory usage: 12 MB
% 14.88/2.55 % (1215528)Instructions burned: 357 (million)
% 14.88/2.55 % (1215538)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3147695861:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2982 on theBenchmark for (2982ds/673Mi)
% 14.88/2.55 % (1215491)Instruction limit reached!
% 14.88/2.55 % (1215491)------------------------------
% 16.06/2.86 % (1215491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.06/2.86 % (1215491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.06/2.86 % (1215491)CaDiCaL version: 2.1.3
% 16.06/2.86 % (1215491)Termination reason: Instruction limit
% 16.06/2.86 % (1215491)Termination phase: Saturation
% 16.06/2.86 % (1215491)Time elapsed: 0.652 s
% 16.06/2.86 % (1215491)Peak memory usage: 15 MB
% 16.06/2.86 % (1215491)Instructions burned: 865 (million)
% 16.06/2.86 % (1215540)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3998049152:i=116:ep=RSTC:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/116Mi)
% 16.06/2.86 % (1215540)Instruction limit reached!
% 16.06/2.86 % (1215540)------------------------------
% 16.06/2.86 % (1215540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.06/2.86 % (1215540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.06/2.86 % (1215540)CaDiCaL version: 2.1.3
% 16.06/2.86 % (1215540)Termination reason: Instruction limit
% 16.06/2.86 % (1215540)Termination phase: Saturation
% 16.06/2.86 % (1215540)Time elapsed: 0.074 s
% 16.06/2.86 % (1215540)Peak memory usage: 12 MB
% 16.06/2.86 % (1215540)Instructions burned: 116 (million)
% 16.06/2.86 % (1215524)Instruction limit reached!
% 16.06/2.86 % (1215524)------------------------------
% 16.06/2.86 % (1215524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.06/2.86 % (1215524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.06/2.86 % (1215524)CaDiCaL version: 2.1.3
% 16.06/2.86 % (1215524)Termination reason: Instruction limit
% 16.06/2.86 % (1215524)Termination phase: Saturation
% 16.06/2.86 % (1215524)Time elapsed: 0.468 s
% 16.06/2.86 % (1215524)Peak memory usage: 13 MB
% 16.06/2.86 % (1215524)Instructions burned: 806 (million)
% 16.06/2.86 % (1215544)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2375520900:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2980 on theBenchmark for (2980ds/270Mi)
% 16.06/2.86 % (1215475)Instruction limit reached!
% 16.06/2.86 % (1215475)------------------------------
% 16.06/2.86 % (1215475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.06/2.86 % (1215475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.06/2.86 % (1215475)CaDiCaL version: 2.1.3
% 16.06/2.86 % (1215475)Termination reason: Instruction limit
% 16.06/2.86 % (1215475)Termination phase: Saturation
% 16.06/2.86 % (1215475)Time elapsed: 0.894 s
% 16.06/2.86 % (1215475)Peak memory usage: 13 MB
% 16.06/2.86 % (1215475)Instructions burned: 1440 (million)
% 16.06/2.86 % (1215546)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2156215351:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2980 on theBenchmark for (2980ds/30Mi)
% 16.06/2.86 % (1215548)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 16.06/2.86 % (1215548)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1368666403:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2980 on theBenchmark for (2980ds/39Mi)
% 16.06/2.86 % (1215546)Instruction limit reached!
% 16.06/2.86 % (1215546)------------------------------
% 16.06/2.86 % (1215546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.06/2.86 % (1215546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.06/2.86 % (1215546)CaDiCaL version: 2.1.3
% 16.06/2.86 % (1215546)Termination reason: Instruction limit
% 16.06/2.86 % (1215546)Termination phase: Saturation
% 16.06/2.86 % (1215546)Time elapsed: 0.025 s
% 16.06/2.86 % (1215546)Peak memory usage: 12 MB
% 16.06/2.86 % (1215546)Instructions burned: 30 (million)
% 16.06/2.86 % (1215548)Instruction limit reached!
% 16.06/2.86 % (1215548)------------------------------
% 16.06/2.86 % (1215548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.06/2.86 % (1215548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.06/2.86 % (1215548)CaDiCaL version: 2.1.3
% 16.06/2.86 % (1215548)Termination reason: Instruction limit
% 16.06/2.86 % (1215548)Termination phase: Saturation
% 16.06/2.86 % (1215548)Time elapsed: 0.024 s
% 16.06/2.86 % (1215548)Peak memory usage: 12 MB
% 16.06/2.86 % (1215548)Instructions burned: 41 (million)
% 16.06/2.86 % (1215550)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3994915281:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/365Mi)
% 16.92/3.00 % (1215551)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=894887654:i=158:av=off:rtra=on_2979 on theBenchmark for (2979ds/158Mi)
% 16.92/3.00 % (1215551)Instruction limit reached!
% 16.92/3.00 % (1215551)------------------------------
% 16.92/3.00 % (1215551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.92/3.00 % (1215551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.00 % (1215551)CaDiCaL version: 2.1.3
% 16.92/3.00 % (1215551)Termination reason: Instruction limit
% 16.92/3.00 % (1215551)Termination phase: Saturation
% 16.92/3.00 % (1215551)Time elapsed: 0.102 s
% 16.92/3.00 % (1215551)Peak memory usage: 12 MB
% 16.92/3.00 % (1215551)Instructions burned: 159 (million)
% 16.92/3.00 % (1215538)Instruction limit reached!
% 16.92/3.00 % (1215538)------------------------------
% 16.92/3.00 % (1215538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.92/3.00 % (1215538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.00 % (1215538)CaDiCaL version: 2.1.3
% 16.92/3.00 % (1215538)Termination reason: Instruction limit
% 16.92/3.00 % (1215538)Termination phase: Saturation
% 16.92/3.00 % (1215538)Time elapsed: 0.355 s
% 16.92/3.00 % (1215538)Peak memory usage: 13 MB
% 16.92/3.00 % (1215538)Instructions burned: 676 (million)
% 16.92/3.00 % (1215544)Instruction limit reached!
% 16.92/3.00 % (1215544)------------------------------
% 16.92/3.00 % (1215544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.92/3.00 % (1215544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.00 % (1215544)CaDiCaL version: 2.1.3
% 16.92/3.00 % (1215544)Termination reason: Instruction limit
% 16.92/3.00 % (1215544)Termination phase: Saturation
% 16.92/3.00 % (1215544)Time elapsed: 0.210 s
% 16.92/3.00 % (1215544)Peak memory usage: 12 MB
% 16.92/3.00 % (1215544)Instructions burned: 270 (million)
% 16.92/3.00 % (1215556)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 16.92/3.00 % (1215557)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2669476182:i=213:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/213Mi)
% 16.92/3.00 % (1215557)Refutation not found, incomplete strategy
% 16.92/3.00 % (1215557)------------------------------
% 16.92/3.00 % (1215557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.92/3.00 % (1215557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.00 % (1215557)CaDiCaL version: 2.1.3
% 16.92/3.00 % (1215557)Termination reason: Refutation not found, incomplete strategy
% 16.92/3.00 % (1215557)Time elapsed: 0.001 s
% 16.92/3.00 % (1215557)Peak memory usage: 11 MB
% 16.92/3.00 % (1215557)------------------------------
% 16.92/3.00 % (1215557)------------------------------
% 16.92/3.00 % (1215556)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=3873532440:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/252Mi)
% 16.92/3.00 % (1215558)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=3351478925:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/160Mi)
% 16.92/3.00 % (1215560)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1667470257:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/763Mi)
% 16.92/3.00 % (1215558)Refutation not found, incomplete strategy
% 16.92/3.00 % (1215558)------------------------------
% 16.92/3.00 % (1215558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.92/3.00 % (1215558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.92/3.00 % (1215558)CaDiCaL version: 2.1.3
% 16.92/3.00 % (1215558)Termination reason: Refutation not found, incomplete strategy
% 16.92/3.00 % (1215558)Time elapsed: 0.001 s
% 16.92/3.00 % (1215558)Peak memory usage: 12 MB
% 16.92/3.00 % (1215558)------------------------------
% 16.92/3.00 % (1215558)------------------------------
% 16.92/3.00 % (1215564)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 19.30/3.12 % (1215564)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=102791423:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2977 on theBenchmark for (2977ds/237Mi)
% 19.30/3.12 % (1215564)Refutation not found, incomplete strategy
% 19.30/3.12 % (1215564)------------------------------
% 19.30/3.12 % (1215564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.12 % (1215564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.12 % (1215564)CaDiCaL version: 2.1.3
% 19.30/3.12 % (1215564)Termination reason: Refutation not found, incomplete strategy
% 19.30/3.12 % (1215564)Time elapsed: 0.001 s
% 19.30/3.12 % (1215564)Peak memory usage: 11 MB
% 19.30/3.12 % (1215564)------------------------------
% 19.30/3.12 % (1215564)------------------------------
% 19.30/3.12 % (1215566)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3080380654:s2a=on:i=386:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/386Mi)
% 19.30/3.12 % (1215550)Instruction limit reached!
% 19.30/3.12 % (1215550)------------------------------
% 19.30/3.12 % (1215550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.12 % (1215550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.12 % (1215550)CaDiCaL version: 2.1.3
% 19.30/3.12 % (1215550)Termination reason: Instruction limit
% 19.30/3.12 % (1215550)Termination phase: Saturation
% 19.30/3.12 % (1215550)Time elapsed: 0.243 s
% 19.30/3.12 % (1215550)Peak memory usage: 13 MB
% 19.30/3.12 % (1215550)Instructions burned: 366 (million)
% 19.30/3.12 % (1215568)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=472792943:i=300:piset=and:nm=32:rtra=on_2977 on theBenchmark for (2977ds/300Mi)
% 19.30/3.12 % (1215556)Instruction limit reached!
% 19.30/3.12 % (1215556)------------------------------
% 19.30/3.12 % (1215556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.12 % (1215556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.12 % (1215556)CaDiCaL version: 2.1.3
% 19.30/3.12 % (1215556)Termination reason: Instruction limit
% 19.30/3.12 % (1215556)Termination phase: Saturation
% 19.30/3.12 % (1215556)Time elapsed: 0.147 s
% 19.30/3.12 % (1215556)Peak memory usage: 12 MB
% 19.30/3.12 % (1215556)Instructions burned: 254 (million)
% 19.30/3.12 % (1215571)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2394639376:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/567Mi)
% 19.30/3.12 % (1215571)Refutation not found, incomplete strategy
% 19.30/3.12 % (1215571)------------------------------
% 19.30/3.12 % (1215571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.12 % (1215571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.12 % (1215571)CaDiCaL version: 2.1.3
% 19.30/3.12 % (1215571)Termination reason: Refutation not found, incomplete strategy
% 19.30/3.12 % (1215571)Time elapsed: 0.002 s
% 19.30/3.12 % (1215571)Peak memory usage: 12 MB
% 19.30/3.12 % (1215571)Instructions burned: 1 (million)
% 19.30/3.12 % (1215571)------------------------------
% 19.30/3.12 % (1215571)------------------------------
% 19.30/3.12 % (1215574)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3989008996:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2976 on theBenchmark for (2976ds/379Mi)
% 19.30/3.12 % (1215574)Refutation not found, incomplete strategy
% 19.30/3.12 % (1215574)------------------------------
% 19.30/3.12 % (1215574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.12 % (1215574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.12 % (1215574)CaDiCaL version: 2.1.3
% 19.30/3.12 % (1215574)Termination reason: Refutation not found, incomplete strategy
% 19.30/3.12 % (1215574)Time elapsed: 0.001 s
% 19.30/3.12 % (1215574)Peak memory usage: 11 MB
% 19.30/3.12 % (1215574)------------------------------
% 19.30/3.12 % (1215574)------------------------------
% 19.30/3.12 % (1215576)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1802851276:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2975 on theBenchmark for (2975ds/429Mi)
% 19.30/3.12 % (1215568)Instruction limit reached!
% 19.30/3.12 % (1215568)------------------------------
% 19.30/3.12 % (1215568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.96/3.17 % (1215568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.17 % (1215568)CaDiCaL version: 2.1.3
% 19.96/3.17 % (1215568)Termination reason: Instruction limit
% 19.96/3.17 % (1215568)Termination phase: Saturation
% 19.96/3.17 % (1215568)Time elapsed: 0.238 s
% 19.96/3.17 % (1215568)Peak memory usage: 12 MB
% 19.96/3.17 % (1215568)Instructions burned: 300 (million)
% 19.96/3.17 % (1215578)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2772028381:i=478:bd=all:rtra=on_2974 on theBenchmark for (2974ds/478Mi)
% 19.96/3.17 % (1215578)Refutation not found, incomplete strategy
% 19.96/3.17 % (1215578)------------------------------
% 19.96/3.17 % (1215578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.96/3.17 % (1215578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.17 % (1215578)CaDiCaL version: 2.1.3
% 19.96/3.17 % (1215578)Termination reason: Refutation not found, incomplete strategy
% 19.96/3.17 % (1215578)Time elapsed: 0.002 s
% 19.96/3.17 % (1215578)Peak memory usage: 12 MB
% 19.96/3.17 % (1215578)Instructions burned: 1 (million)
% 19.96/3.17 % (1215578)------------------------------
% 19.96/3.17 % (1215578)------------------------------
% 19.96/3.17 % (1215566)Instruction limit reached!
% 19.96/3.17 % (1215566)------------------------------
% 19.96/3.17 % (1215566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.96/3.17 % (1215566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.17 % (1215566)CaDiCaL version: 2.1.3
% 19.96/3.17 % (1215566)Termination reason: Instruction limit
% 19.96/3.17 % (1215566)Termination phase: Saturation
% 19.96/3.17 % (1215566)Time elapsed: 0.302 s
% 19.96/3.17 % (1215566)Peak memory usage: 12 MB
% 19.96/3.17 % (1215566)Instructions burned: 386 (million)
% 19.96/3.17 % (1215581)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=77091753:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2974 on theBenchmark for (2974ds/445Mi)
% 19.96/3.17 % (1215584)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2932998213:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2974 on theBenchmark for (2974ds/71Mi)
% 19.96/3.17 % (1215560)Instruction limit reached!
% 19.96/3.17 % (1215560)------------------------------
% 19.96/3.17 % (1215560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.96/3.17 % (1215560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.17 % (1215560)CaDiCaL version: 2.1.3
% 19.96/3.17 % (1215560)Termination reason: Instruction limit
% 19.96/3.17 % (1215560)Termination phase: Saturation
% 19.96/3.17 % (1215560)Time elapsed: 0.414 s
% 19.96/3.17 % (1215560)Peak memory usage: 13 MB
% 19.96/3.17 % (1215560)Instructions burned: 764 (million)
% 19.96/3.17 % (1215588)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3724155570:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/302Mi)
% 19.96/3.17 % (1215588)Refutation not found, incomplete strategy
% 19.96/3.17 % (1215588)------------------------------
% 19.96/3.17 % (1215588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.96/3.17 % (1215588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.17 % (1215588)CaDiCaL version: 2.1.3
% 19.96/3.17 % (1215588)Termination reason: Refutation not found, incomplete strategy
% 19.96/3.17 % (1215588)Time elapsed: 0.001 s
% 19.96/3.17 % (1215588)Peak memory usage: 12 MB
% 19.96/3.17 % (1215588)------------------------------
% 19.96/3.17 % (1215588)------------------------------
% 19.96/3.17 % (1215584)Instruction limit reached!
% 19.96/3.17 % (1215584)------------------------------
% 19.96/3.17 % (1215584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.96/3.17 % (1215584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/3.17 % (1215584)CaDiCaL version: 2.1.3
% 19.96/3.17 % (1215584)Termination reason: Instruction limit
% 19.96/3.17 % (1215584)Termination phase: Saturation
% 19.96/3.17 % (1215584)Time elapsed: 0.060 s
% 19.96/3.17 % (1215584)Peak memory usage: 12 MB
% 19.96/3.17 % (1215584)Instructions burned: 71 (million)
% 19.96/3.17 % (1215590)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=447493905:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/4980Mi)
% 19.96/3.17 % (1215590)Refutation not found, incomplete strategy
% 19.96/3.17 % (1215590)------------------------------
% 19.96/3.17 % (1215590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.38 % (1215590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.38 % (1215590)CaDiCaL version: 2.1.3
% 20.42/3.38 % (1215590)Termination reason: Refutation not found, incomplete strategy
% 20.42/3.38 % (1215590)Time elapsed: 0.001 s
% 20.42/3.38 % (1215590)Peak memory usage: 11 MB
% 20.42/3.38 % (1215590)------------------------------
% 20.42/3.38 % (1215590)------------------------------
% 20.42/3.38 % (1215591)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 20.42/3.38 % (1215591)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 20.42/3.38 % (1215591)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3063273572:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2973 on theBenchmark for (2973ds/100Mi)
% 20.42/3.38 % (1215593)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=4286846079:i=76:piset=equals:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/76Mi)
% 20.42/3.38 % (1215520)Instruction limit reached!
% 20.42/3.38 % (1215520)------------------------------
% 20.42/3.38 % (1215520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.38 % (1215520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.38 % (1215520)CaDiCaL version: 2.1.3
% 20.42/3.38 % (1215520)Termination reason: Instruction limit
% 20.42/3.38 % (1215520)Termination phase: Saturation
% 20.42/3.38 % (1215520)Time elapsed: 1.297 s
% 20.42/3.38 % (1215520)Peak memory usage: 13 MB
% 20.42/3.38 % (1215520)Instructions burned: 2186 (million)
% 20.42/3.38 % (1215591)Instruction limit reached!
% 20.42/3.38 % (1215591)------------------------------
% 20.42/3.38 % (1215591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.38 % (1215591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.38 % (1215591)CaDiCaL version: 2.1.3
% 20.42/3.38 % (1215591)Termination reason: Instruction limit
% 20.42/3.38 % (1215591)Termination phase: Saturation
% 20.42/3.38 % (1215591)Time elapsed: 0.074 s
% 20.42/3.38 % (1215591)Peak memory usage: 12 MB
% 20.42/3.38 % (1215591)Instructions burned: 101 (million)
% 20.42/3.38 % (1215596)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=4151454027:i=289:rtra=on_2972 on theBenchmark for (2972ds/289Mi)
% 20.42/3.38 % (1215596)Refutation not found, incomplete strategy
% 20.42/3.38 % (1215596)------------------------------
% 20.42/3.38 % (1215596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.38 % (1215596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.38 % (1215596)CaDiCaL version: 2.1.3
% 20.42/3.38 % (1215596)Termination reason: Refutation not found, incomplete strategy
% 20.42/3.38 % (1215596)Time elapsed: 0.001 s
% 20.42/3.38 % (1215596)Peak memory usage: 11 MB
% 20.42/3.38 % (1215596)Instructions burned: 1 (million)
% 20.42/3.38 % (1215593)Instruction limit reached!
% 20.42/3.38 % (1215593)------------------------------
% 20.42/3.38 % (1215593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.38 % (1215593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.38 % (1215593)CaDiCaL version: 2.1.3
% 20.42/3.38 % (1215593)Termination reason: Instruction limit
% 20.42/3.38 % (1215593)Termination phase: Saturation
% 20.42/3.38 % (1215593)Time elapsed: 0.068 s
% 20.42/3.38 % (1215593)Peak memory usage: 12 MB
% 20.42/3.38 % (1215593)Instructions burned: 76 (million)
% 20.42/3.38 % (1215596)------------------------------
% 20.42/3.38 % (1215596)------------------------------
% 20.42/3.38 % (1215576)Instruction limit reached!
% 20.42/3.38 % (1215576)------------------------------
% 20.42/3.38 % (1215576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.38 % (1215576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.38 % (1215576)CaDiCaL version: 2.1.3
% 20.42/3.38 % (1215576)Termination reason: Instruction limit
% 20.42/3.38 % (1215576)Termination phase: Saturation
% 20.42/3.38 % (1215576)Time elapsed: 0.343 s
% 20.42/3.38 % (1215576)Peak memory usage: 12 MB
% 20.42/3.38 % (1215576)Instructions burned: 429 (million)
% 20.42/3.38 % (1215534)Instruction limit reached!
% 20.93/3.54 % (1215534)------------------------------
% 20.93/3.54 % (1215534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.54 % (1215599)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2524714111:cond=on:i=34:hud=10:nm=10:rtra=on_2972 on theBenchmark for (2972ds/34Mi)
% 20.93/3.54 % (1215534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.54 % (1215534)CaDiCaL version: 2.1.3
% 20.93/3.54 % (1215534)Termination reason: Instruction limit
% 20.93/3.54 % (1215534)Termination phase: Saturation
% 20.93/3.54 % (1215534)Time elapsed: 1.076 s
% 20.93/3.54 % (1215534)Peak memory usage: 18 MB
% 20.93/3.54 % (1215534)Instructions burned: 2472 (million)
% 20.93/3.54 % (1215600)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 20.93/3.54 % (1215597)lrs+2_64_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_first:bsr=unit_only:cbe=off:uwa=interpreted_only:nwc=0.5:slsqc=5:sac=on:slsq=on:random_seed=2064250409:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2972 on theBenchmark for (2972ds/493Mi)
% 20.93/3.54 % (1215600)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=3844468473:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2972 on theBenchmark for (2972ds/372Mi)
% 20.93/3.54 % (1215601)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=4288185247:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2972 on theBenchmark for (2972ds/670Mi)
% 20.93/3.54 % (1215600)Refutation not found, incomplete strategy
% 20.93/3.54 % (1215600)------------------------------
% 20.93/3.54 % (1215600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.54 % (1215600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.54 % (1215600)CaDiCaL version: 2.1.3
% 20.93/3.54 % (1215600)Termination reason: Refutation not found, incomplete strategy
% 20.93/3.54 % (1215600)Time elapsed: 0.003 s
% 20.93/3.54 % (1215600)Peak memory usage: 11 MB
% 20.93/3.54 % (1215600)Instructions burned: 2 (million)
% 20.93/3.54 % (1215600)------------------------------
% 20.93/3.54 % (1215600)------------------------------
% 20.93/3.54 % (1215599)Instruction limit reached!
% 20.93/3.54 % (1215599)------------------------------
% 20.93/3.54 % (1215599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.54 % (1215599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.54 % (1215599)CaDiCaL version: 2.1.3
% 20.93/3.54 % (1215599)Termination reason: Instruction limit
% 20.93/3.54 % (1215599)Termination phase: Saturation
% 20.93/3.54 % (1215599)Time elapsed: 0.018 s
% 20.93/3.54 % (1215599)Peak memory usage: 12 MB
% 20.93/3.54 % (1215599)Instructions burned: 35 (million)
% 20.93/3.54 % (1215604)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1661986347:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2971 on theBenchmark for (2971ds/647Mi)
% 20.93/3.54 % (1215604)Refutation not found, incomplete strategy
% 20.93/3.54 % (1215604)------------------------------
% 20.93/3.54 % (1215604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.54 % (1215604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.54 % (1215604)CaDiCaL version: 2.1.3
% 20.93/3.54 % (1215604)Termination reason: Refutation not found, incomplete strategy
% 20.93/3.54 % (1215604)Time elapsed: 0.001 s
% 20.93/3.54 % (1215604)Peak memory usage: 11 MB
% 20.93/3.54 % (1215604)------------------------------
% 20.93/3.54 % (1215604)------------------------------
% 20.93/3.54 % (1215609)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=384195788:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/693Mi)
% 20.93/3.54 % (1215612)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3778603981:i=285:hud=10:bd=all:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/285Mi)
% 20.93/3.54 % (1215608)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=1453293237:i=857:add=off:kws=frequency:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/857Mi)
% 22.24/3.74 % (1215612)Refutation not found, incomplete strategy
% 22.24/3.74 % (1215612)------------------------------
% 22.24/3.74 % (1215612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.74 % (1215612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.74 % (1215612)CaDiCaL version: 2.1.3
% 22.24/3.74 % (1215612)Termination reason: Refutation not found, incomplete strategy
% 22.24/3.74 % (1215612)Time elapsed: 0.001 s
% 22.24/3.74 % (1215612)Peak memory usage: 11 MB
% 22.24/3.74 % (1215612)Instructions burned: 1 (million)
% 22.24/3.74 % (1215612)------------------------------
% 22.24/3.74 % (1215612)------------------------------
% 22.24/3.74 % (1215616)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 22.24/3.74 % (1215616)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=285092006:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2971 on theBenchmark for (2971ds/52Mi)
% 22.24/3.74 % (1215616)Instruction limit reached!
% 22.24/3.74 % (1215616)------------------------------
% 22.24/3.74 % (1215616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.74 % (1215616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.74 % (1215616)CaDiCaL version: 2.1.3
% 22.24/3.74 % (1215616)Termination reason: Instruction limit
% 22.24/3.74 % (1215616)Termination phase: Saturation
% 22.24/3.74 % (1215616)Time elapsed: 0.032 s
% 22.24/3.74 % (1215616)Peak memory usage: 12 MB
% 22.24/3.74 % (1215616)Instructions burned: 52 (million)
% 22.24/3.74 % (1215618)dis+10_1_si=on:random_seed=1444558582:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2970 on theBenchmark for (2970ds/407Mi)
% 22.24/3.74 % (1215618)Refutation not found, incomplete strategy
% 22.24/3.74 % (1215618)------------------------------
% 22.24/3.74 % (1215618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.74 % (1215618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.74 % (1215618)CaDiCaL version: 2.1.3
% 22.24/3.74 % (1215618)Termination reason: Refutation not found, incomplete strategy
% 22.24/3.74 % (1215618)Time elapsed: 0.001 s
% 22.24/3.74 % (1215618)Peak memory usage: 12 MB
% 22.24/3.74 % (1215618)------------------------------
% 22.24/3.74 % (1215618)------------------------------
% 22.24/3.74 % (1215581)Instruction limit reached!
% 22.24/3.74 % (1215581)------------------------------
% 22.24/3.74 % (1215581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.74 % (1215581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.74 % (1215581)CaDiCaL version: 2.1.3
% 22.24/3.74 % (1215581)Termination reason: Instruction limit
% 22.24/3.74 % (1215581)Termination phase: Saturation
% 22.24/3.74 % (1215581)Time elapsed: 0.356 s
% 22.24/3.74 % (1215581)Peak memory usage: 14 MB
% 22.24/3.74 % (1215581)Instructions burned: 445 (million)
% 22.24/3.74 % (1215620)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1661189961:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/2240Mi)
% 22.24/3.74 % (1215621)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3031144500:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/336Mi)
% 22.24/3.74 % (1215621)Refutation not found, incomplete strategy
% 22.24/3.74 % (1215621)------------------------------
% 22.24/3.74 % (1215621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.74 % (1215621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.74 % (1215621)CaDiCaL version: 2.1.3
% 22.24/3.74 % (1215621)Termination reason: Refutation not found, incomplete strategy
% 22.24/3.74 % (1215621)Time elapsed: 0.001 s
% 22.24/3.74 % (1215621)Peak memory usage: 12 MB
% 22.24/3.74 % (1215621)------------------------------
% 22.24/3.74 % (1215621)------------------------------
% 22.24/3.74 % (1215624)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=2893138815:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2970 on theBenchmark for (2970ds/1142Mi)
% 22.24/3.74 % (1215609)Instruction limit reached!
% 22.24/3.74 % (1215609)------------------------------
% 22.24/3.74 % (1215609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.74 % (1215609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.48/4.16 % (1215609)CaDiCaL version: 2.1.3
% 26.48/4.16 % (1215609)Termination reason: Instruction limit
% 26.48/4.16 % (1215609)Termination phase: Saturation
% 26.48/4.16 % (1215609)Time elapsed: 0.224 s
% 26.48/4.16 % (1215609)Peak memory usage: 12 MB
% 26.48/4.16 % (1215609)Instructions burned: 697 (million)
% 26.48/4.16 % (1215626)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=881645539:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/376Mi)
% 26.48/4.16 % (1215626)Refutation not found, incomplete strategy
% 26.48/4.16 % (1215626)------------------------------
% 26.48/4.16 % (1215626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.48/4.16 % (1215626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.48/4.16 % (1215626)CaDiCaL version: 2.1.3
% 26.48/4.16 % (1215626)Termination reason: Refutation not found, incomplete strategy
% 26.48/4.16 % (1215626)Time elapsed: 0.001 s
% 26.48/4.16 % (1215626)Peak memory usage: 12 MB
% 26.48/4.16 % (1215626)------------------------------
% 26.48/4.16 % (1215626)------------------------------
% 26.48/4.16 % (1215628)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=591299599:i=766:bd=all:rtra=on_2969 on theBenchmark for (2969ds/766Mi)
% 26.48/4.16 % (1215628)Refutation not found, incomplete strategy
% 26.48/4.16 % (1215628)------------------------------
% 26.48/4.16 % (1215628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.48/4.16 % (1215628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.48/4.16 % (1215628)CaDiCaL version: 2.1.3
% 26.48/4.16 % (1215628)Termination reason: Refutation not found, incomplete strategy
% 26.48/4.16 % (1215628)Time elapsed: 0.001 s
% 26.48/4.16 % (1215628)Peak memory usage: 12 MB
% 26.48/4.16 % (1215628)Instructions burned: 1 (million)
% 26.48/4.16 % (1215628)------------------------------
% 26.48/4.16 % (1215628)------------------------------
% 26.48/4.16 % (1215630)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 26.48/4.16 % (1215630)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2908430622:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2968 on theBenchmark for (2968ds/959Mi)
% 26.48/4.16 % (1215630)Refutation not found, incomplete strategy
% 26.48/4.16 % (1215630)------------------------------
% 26.48/4.16 % (1215630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.48/4.16 % (1215630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.48/4.16 % (1215630)CaDiCaL version: 2.1.3
% 26.48/4.16 % (1215630)Termination reason: Refutation not found, incomplete strategy
% 26.48/4.16 % (1215630)Time elapsed: 0.0000 s
% 26.48/4.16 % (1215630)Peak memory usage: 11 MB
% 26.48/4.16 % (1215630)------------------------------
% 26.48/4.16 % (1215630)------------------------------
% 26.48/4.16 % (1215632)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=2648430692:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2968 on theBenchmark for (2968ds/6359Mi)
% 26.48/4.16 % (1215597)Instruction limit reached!
% 26.48/4.16 % (1215597)------------------------------
% 26.48/4.16 % (1215597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.48/4.16 % (1215597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.48/4.16 % (1215597)CaDiCaL version: 2.1.3
% 26.48/4.16 % (1215597)Termination reason: Instruction limit
% 26.48/4.16 % (1215597)Termination phase: Saturation
% 26.48/4.16 % (1215597)Time elapsed: 0.383 s
% 26.48/4.16 % (1215597)Peak memory usage: 13 MB
% 26.48/4.16 % (1215597)Instructions burned: 494 (million)
% 26.48/4.16 % (1215634)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2082929385:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2967 on theBenchmark for (2967ds/35Mi)
% 26.48/4.16 % (1215634)Refutation not found, incomplete strategy
% 26.48/4.16 % (1215634)------------------------------
% 26.48/4.16 % (1215634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.48/4.16 % (1215634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.48/4.16 % (1215634)CaDiCaL version: 2.1.3
% 26.48/4.16 % (1215634)Termination reason: Refutation not found, incomplete strategy
% 27.81/4.33 % (1215634)Time elapsed: 0.001 s
% 27.81/4.33 % (1215634)Peak memory usage: 11 MB
% 27.81/4.33 % (1215634)------------------------------
% 27.81/4.33 % (1215634)------------------------------
% 27.81/4.33 % (1215636)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2651698558:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2967 on theBenchmark for (2967ds/53Mi)
% 27.81/4.33 % (1215601)Instruction limit reached!
% 27.81/4.33 % (1215601)------------------------------
% 27.81/4.33 % (1215601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.81/4.33 % (1215601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.81/4.33 % (1215601)CaDiCaL version: 2.1.3
% 27.81/4.33 % (1215601)Termination reason: Instruction limit
% 27.81/4.33 % (1215601)Termination phase: Saturation
% 27.81/4.33 % (1215601)Time elapsed: 0.466 s
% 27.81/4.33 % (1215601)Peak memory usage: 13 MB
% 27.81/4.33 % (1215601)Instructions burned: 670 (million)
% 27.81/4.33 % (1215636)Instruction limit reached!
% 27.81/4.33 % (1215636)------------------------------
% 27.81/4.33 % (1215636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.81/4.33 % (1215636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.81/4.33 % (1215636)CaDiCaL version: 2.1.3
% 27.81/4.33 % (1215636)Termination reason: Instruction limit
% 27.81/4.33 % (1215636)Termination phase: Saturation
% 27.81/4.33 % (1215636)Time elapsed: 0.038 s
% 27.81/4.33 % (1215636)Peak memory usage: 12 MB
% 27.81/4.33 % (1215636)Instructions burned: 55 (million)
% 27.81/4.33 % (1215638)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1903753431:s2a=on:i=876:s2at=6:nm=2:rtra=on_2967 on theBenchmark for (2967ds/876Mi)
% 27.81/4.33 % (1215639)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3559014876:i=57:ep=R:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/57Mi)
% 27.81/4.33 % (1215639)Instruction limit reached!
% 27.81/4.33 % (1215639)------------------------------
% 27.81/4.33 % (1215639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.81/4.33 % (1215639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.81/4.33 % (1215639)CaDiCaL version: 2.1.3
% 27.81/4.33 % (1215639)Termination reason: Instruction limit
% 27.81/4.33 % (1215639)Termination phase: Saturation
% 27.81/4.33 % (1215639)Time elapsed: 0.045 s
% 27.81/4.33 % (1215639)Peak memory usage: 12 MB
% 27.81/4.33 % (1215639)Instructions burned: 58 (million)
% 27.81/4.33 % (1215642)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.81/4.33 % (1215642)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1403074814:i=306:bd=all:rtra=on_2966 on theBenchmark for (2966ds/306Mi)
% 27.81/4.33 % (1215642)Refutation not found, incomplete strategy
% 27.81/4.33 % (1215642)------------------------------
% 27.81/4.33 % (1215642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.81/4.33 % (1215642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.81/4.33 % (1215642)CaDiCaL version: 2.1.3
% 27.81/4.33 % (1215642)Termination reason: Refutation not found, incomplete strategy
% 27.81/4.33 % (1215642)Time elapsed: 0.002 s
% 27.81/4.33 % (1215642)Peak memory usage: 11 MB
% 27.81/4.33 % (1215642)Instructions burned: 1 (million)
% 27.81/4.33 % (1215642)------------------------------
% 27.81/4.33 % (1215642)------------------------------
% 27.81/4.33 % (1215608)Instruction limit reached!
% 27.81/4.33 % (1215608)------------------------------
% 27.81/4.33 % (1215608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.81/4.33 % (1215608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.81/4.33 % (1215608)CaDiCaL version: 2.1.3
% 27.81/4.33 % (1215608)Termination reason: Instruction limit
% 27.81/4.33 % (1215608)Termination phase: Saturation
% 27.81/4.33 % (1215608)Time elapsed: 0.550 s
% 27.81/4.33 % (1215608)Peak memory usage: 13 MB
% 27.81/4.33 % (1215608)Instructions burned: 862 (million)
% 27.81/4.33 % (1215644)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3671357854:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/262Mi)
% 27.81/4.33 % (1215644)Refutation not found, incomplete strategy
% 27.81/4.33 % (1215644)------------------------------
% 27.81/4.33 % (1215644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.52 % (1215644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.52 % (1215644)CaDiCaL version: 2.1.3
% 29.02/4.52 % (1215644)Termination reason: Refutation not found, incomplete strategy
% 29.02/4.52 % (1215644)Time elapsed: 0.002 s
% 29.02/4.52 % (1215644)Peak memory usage: 12 MB
% 29.02/4.52 % (1215644)------------------------------
% 29.02/4.52 % (1215644)------------------------------
% 29.02/4.52 % (1215645)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 29.02/4.52 % (1215645)ott+1002_16_sil=128000:si=on:random_seed=3003634959:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2965 on theBenchmark for (2965ds/409Mi)
% 29.02/4.52 % (1215647)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1661330637:s2a=on:i=381:rtra=on_2965 on theBenchmark for (2965ds/381Mi)
% 29.02/4.52 % (1215645)Instruction limit reached!
% 29.02/4.52 % (1215645)------------------------------
% 29.02/4.52 % (1215645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.52 % (1215645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.52 % (1215645)CaDiCaL version: 2.1.3
% 29.02/4.52 % (1215645)Termination reason: Instruction limit
% 29.02/4.52 % (1215645)Termination phase: Saturation
% 29.02/4.52 % (1215645)Time elapsed: 0.250 s
% 29.02/4.52 % (1215645)Peak memory usage: 13 MB
% 29.02/4.52 % (1215645)Instructions burned: 410 (million)
% 29.02/4.52 % (1215652)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=284966589:cond=on:i=324:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/324Mi)
% 29.02/4.52 % (1215647)Instruction limit reached!
% 29.02/4.52 % (1215647)------------------------------
% 29.02/4.52 % (1215647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.52 % (1215647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.52 % (1215647)CaDiCaL version: 2.1.3
% 29.02/4.52 % (1215647)Termination reason: Instruction limit
% 29.02/4.52 % (1215647)Termination phase: Saturation
% 29.02/4.52 % (1215647)Time elapsed: 0.278 s
% 29.02/4.52 % (1215647)Peak memory usage: 12 MB
% 29.02/4.52 % (1215647)Instructions burned: 381 (million)
% 29.02/4.52 % (1215654)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2783226605:i=240:kws=inv_precedence:rtra=on_2962 on theBenchmark for (2962ds/240Mi)
% 29.02/4.52 % (1215654)Refutation not found, incomplete strategy
% 29.02/4.52 % (1215654)------------------------------
% 29.02/4.52 % (1215654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.52 % (1215654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.52 % (1215654)CaDiCaL version: 2.1.3
% 29.02/4.52 % (1215654)Termination reason: Refutation not found, incomplete strategy
% 29.02/4.52 % (1215654)Time elapsed: 0.003 s
% 29.02/4.52 % (1215654)Peak memory usage: 11 MB
% 29.02/4.52 % (1215654)Instructions burned: 1 (million)
% 29.02/4.52 % (1215654)------------------------------
% 29.02/4.52 % (1215654)------------------------------
% 29.02/4.52 % (1215656)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 29.02/4.52 % (1215656)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2055220913:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/124Mi)
% 29.02/4.52 % (1215624)Instruction limit reached!
% 29.02/4.52 % (1215624)------------------------------
% 29.02/4.52 % (1215624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.52 % (1215624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.52 % (1215624)CaDiCaL version: 2.1.3
% 29.02/4.52 % (1215624)Termination reason: Instruction limit
% 29.02/4.52 % (1215624)Termination phase: Saturation
% 29.02/4.52 % (1215624)Time elapsed: 0.812 s
% 29.02/4.52 % (1215624)Peak memory usage: 14 MB
% 29.02/4.52 % (1215624)Instructions burned: 1143 (million)
% 29.02/4.52 % (1215652)Instruction limit reached!
% 29.02/4.52 % (1215652)------------------------------
% 29.02/4.52 % (1215652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.52 % (1215652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.52 % (1215652)CaDiCaL version: 2.1.3
% 29.02/4.52 % (1215652)Termination reason: Instruction limit
% 29.02/4.52 % (1215652)Termination phase: Saturation
% 29.02/4.52 % (1215652)Time elapsed: 0.124 s
% 29.02/4.52 % (1215652)Peak memory usage: 11 MB
% 29.02/4.57 % (1215652)Instructions burned: 324 (million)
% 29.02/4.57 % (1215658)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=430727045:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2961 on theBenchmark for (2961ds/223Mi)
% 29.02/4.57 % (1215659)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1203255400:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2961 on theBenchmark for (2961ds/282Mi)
% 29.02/4.57 % (1215656)Instruction limit reached!
% 29.02/4.57 % (1215656)------------------------------
% 29.02/4.57 % (1215656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.57 % (1215656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.57 % (1215656)CaDiCaL version: 2.1.3
% 29.02/4.57 % (1215656)Termination reason: Instruction limit
% 29.02/4.57 % (1215656)Termination phase: Saturation
% 29.02/4.57 % (1215656)Time elapsed: 0.100 s
% 29.02/4.57 % (1215656)Peak memory usage: 12 MB
% 29.02/4.57 % (1215656)Instructions burned: 124 (million)
% 29.02/4.57 % (1215662)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=474658577:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2960 on theBenchmark for (2960ds/464Mi)
% 29.02/4.57 % (1215662)Refutation not found, incomplete strategy
% 29.02/4.57 % (1215662)------------------------------
% 29.02/4.57 % (1215662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.57 % (1215662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.57 % (1215662)CaDiCaL version: 2.1.3
% 29.02/4.57 % (1215662)Termination reason: Refutation not found, incomplete strategy
% 29.02/4.57 % (1215662)Time elapsed: 0.001 s
% 29.02/4.57 % (1215662)Peak memory usage: 11 MB
% 29.02/4.57 % (1215662)Instructions burned: 1 (million)
% 29.02/4.57 % (1215662)------------------------------
% 29.02/4.57 % (1215662)------------------------------
% 29.02/4.57 % (1215638)Instruction limit reached!
% 29.02/4.57 % (1215638)------------------------------
% 29.02/4.57 % (1215638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.57 % (1215638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.57 % (1215638)CaDiCaL version: 2.1.3
% 29.02/4.57 % (1215638)Termination reason: Instruction limit
% 29.02/4.57 % (1215638)Termination phase: Saturation
% 29.02/4.57 % (1215638)Time elapsed: 0.622 s
% 29.02/4.57 % (1215638)Peak memory usage: 13 MB
% 29.02/4.57 % (1215638)Instructions burned: 876 (million)
% 29.02/4.57 % (1215664)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3500750267:i=88:s2at=3:nm=2:rtra=on:rawr=on_2960 on theBenchmark for (2960ds/88Mi)
% 29.02/4.57 % (1215665)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1593334518:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2960 on theBenchmark for (2960ds/280Mi)
% 29.02/4.57 % (1215658)Instruction limit reached!
% 29.02/4.57 % (1215658)------------------------------
% 29.02/4.57 % (1215658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.57 % (1215658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.57 % (1215658)CaDiCaL version: 2.1.3
% 29.02/4.57 % (1215658)Termination reason: Instruction limit
% 29.02/4.57 % (1215658)Termination phase: Saturation
% 29.02/4.57 % (1215658)Time elapsed: 0.142 s
% 29.02/4.57 % (1215658)Peak memory usage: 13 MB
% 29.02/4.57 % (1215658)Instructions burned: 223 (million)
% 29.02/4.57 % (1215664)Instruction limit reached!
% 29.02/4.57 % (1215664)------------------------------
% 29.02/4.57 % (1215664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.57 % (1215664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.57 % (1215664)CaDiCaL version: 2.1.3
% 29.02/4.57 % (1215664)Termination reason: Instruction limit
% 29.02/4.57 % (1215664)Termination phase: Saturation
% 29.02/4.57 % (1215664)Time elapsed: 0.042 s
% 29.02/4.57 % (1215664)Peak memory usage: 12 MB
% 29.02/4.57 % (1215664)Instructions burned: 91 (million)
% 29.02/4.57 % (1215671)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 29.02/4.57 % (1215671)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 29.02/4.57 % (1215671)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=3690166723:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2960 on theBenchmark for (2960ds/483Mi)
% 29.02/4.57 % (1215671)Refutation not found, incomplete strategy
% 29.02/4.57 % (1215671)------------------------------
% 29.02/4.57 % (1215671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.57 % (1215671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.57 % (1215671)CaDiCaL version: 2.1.3
% 29.02/4.57 % (1215671)Termination reason: Refutation not found, incomplete strategy
% 29.02/4.57 % (1215671)Time elapsed: 0.001 s
% 29.02/4.57 % (1215671)Peak memory usage: 12 MB
% 29.02/4.57 % (1215671)------------------------------
% 29.02/4.57 % (1215671)------------------------------
% 29.02/4.57 % (1215670)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 29.02/4.57 % (1215670)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=544247852:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/4386Mi)
% 29.02/4.57 % (1215673)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=835218383:i=73:rtra=on_2959 on theBenchmark for (2959ds/73Mi)
% 29.02/4.57 % (1215673)Refutation not found, incomplete strategy
% 29.02/4.57 % (1215673)------------------------------
% 29.02/4.57 % (1215673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.57 % (1215673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.57 % (1215673)CaDiCaL version: 2.1.3
% 29.02/4.57 % (1215673)Termination reason: Refutation not found, incomplete strategy
% 29.02/4.57 % (1215673)Time elapsed: 0.001 s
% 29.02/4.57 % (1215673)Peak memory usage: 11 MB
% 29.02/4.57 % (1215673)Instructions burned: 1 (million)
% 29.02/4.57 % (1215673)------------------------------
% 29.02/4.57 % (1215673)------------------------------
% 29.02/4.57 % (1215676)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2122273686:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2959 on theBenchmark for (2959ds/176Mi)
% 29.02/4.57 % (1215659)Instruction limit reached!
% 29.02/4.57 % (1215659)------------------------------
% 29.02/4.57 % (1215659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.57 % (1215659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.57 % (1215659)CaDiCaL version: 2.1.3
% 29.02/4.57 % (1215659)Termination reason: Instruction limit
% 29.02/4.57 % (1215659)Termination phase: Saturation
% 29.02/4.57 % (1215659)Time elapsed: 0.221 s
% 29.02/4.57 % (1215659)Peak memory usage: 12 MB
% 29.02/4.57 % (1215659)Instructions burned: 282 (million)
% 29.02/4.57 % (1215678)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 29.02/4.57 % (1215678)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1871228767:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2958 on theBenchmark for (2958ds/39Mi)
% 29.02/4.57 % (1215678)Instruction limit reached!
% 29.02/4.57 % (1215678)------------------------------
% 29.02/4.57 % (1215678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.57 % (1215678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.57 % (1215678)CaDiCaL version: 2.1.3
% 29.02/4.57 % (1215678)Termination reason: Instruction limit
% 29.02/4.57 % (1215678)Termination phase: Saturation
% 29.02/4.57 % (1215678)Time elapsed: 0.024 s
% 29.02/4.57 % (1215678)Peak memory usage: 12 MB
% 29.02/4.57 % (1215678)Instructions burned: 40 (million)
% 29.02/4.57 % (1215680)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4257119812:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2958 on theBenchmark for (2958ds/708Mi)
% 29.02/4.57 % (1215665)Instruction limit reached!
% 29.02/4.57 % (1215665)------------------------------
% 29.02/4.57 % (1215665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.57 % (1215665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.57 % (1215665)CaDiCaL version: 2.1.3
% 29.02/4.57 % (1215665)Termination reason: Instruction limit
% 29.02/4.57 % (1215665)Termination phase: Saturation
% 29.02/4.57 % (1215665)Time elapsed: 0.214 s
% 29.02/4.57 % (1215665)Peak memory usage: 13 MB
% 29.02/4.57 % (1215665)Instructions burned: 281 (million)
% 29.02/4.57 % (1215632) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1215297-1215632"...
% 29.02/4.57 % (1215682)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 29.02/4.57 % (1215682)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=3525820673:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/252Mi)
% 29.02/4.57 % (1215676)Instruction limit reached!
% 29.02/4.57 % (1215676)------------------------------
% 29.02/4.57 % (1215676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.57 % (1215676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.57 % (1215676)CaDiCaL version: 2.1.3
% 29.02/4.57 % (1215676)Termination reason: Instruction limit
% 29.02/4.57 % (1215676)Termination phase: Saturation
% 29.02/4.57 % (1215676)Time elapsed: 0.149 s
% 29.02/4.57 % (1215676)Peak memory usage: 13 MB
% 29.02/4.57 % (1215676)Instructions burned: 177 (million)
% 29.02/4.57 % (1215632)...printing done.
% 29.02/4.57 % (1215684)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2466324297:i=823:fsr=off:rtra=on_2957 on theBenchmark for (2957ds/823Mi)
% 29.02/4.57 % (1215620)Instruction limit reached!
% 29.02/4.57 % (1215620)------------------------------
% 29.02/4.57 % (1215620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.57 % (1215620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.57 % (1215620)CaDiCaL version: 2.1.3
% 29.02/4.57 % (1215620)Termination reason: Instruction limit
% 29.02/4.57 % (1215620)Termination phase: Saturation
% 29.02/4.57 % (1215620)Time elapsed: 1.284 s
% 29.02/4.57 % (1215620)Peak memory usage: 16 MB
% 29.02/4.57 % (1215620)Instructions burned: 2242 (million)
% 29.02/4.57 % (1215632)Refutation found. Thanks to Tanya!
% 29.02/4.57 % SZS status Unsatisfiable for theBenchmark
% 29.02/4.57 % SZS output start Proof for theBenchmark
% See solution above
% 29.02/4.60 % (1215632)------------------------------
% 29.02/4.60 % (1215632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.02/4.60 % (1215632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.02/4.60 % (1215632)CaDiCaL version: 2.1.3
% 29.02/4.60 % (1215632)Termination reason: Refutation
% 29.02/4.60 % (1215632)Time elapsed: 1.093 s
% 29.02/4.60 % (1215632)Peak memory usage: 17 MB
% 29.02/4.60 % (1215632)Instructions burned: 1873 (million)
% 29.02/4.60 % (1215297)Success in time 4.261 s
% 29.02/4.60 % Vampire exiting
%------------------------------------------------------------------------------