%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA174^1 : 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 : n002.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 08:03:19 AM UTC 2026
% Result : Unsatisfiable 38.18s 6.03s
% Output : Refutation 39.99s
% 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,
! [X0: $i,X1: $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] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X0: $i,X4: $i,X1: $i,X3: $i,X2: $i] :
( ~ ( b @ X2 @ X4 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f9,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f11,plain,
! [X1: $i,X0: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X1 @ X2 ) ),
inference(rectify,[],[f6]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X4 @ X1 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X4 @ X3 )
| ~ ( b @ X3 @ X1 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X2 @ X4 ) ),
inference(rectify,[],[f7]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X1 ) )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X4 @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f17,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(flattening,[],[f13]) ).
thf(f20,plain,
! [X1: $i,X2: $i,X0: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ X4 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X4 @ X1 ) )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X4 @ X3 )
!= $true ) ),
inference(flattening,[],[f15]) ).
thf(f21,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f17]) ).
thf(f22,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(rectify,[],[f11]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X3 @ X0 ) )
| ( ( b @ X1 @ X4 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true )
| ( ( b @ X4 @ X3 )
!= $true ) ),
inference(rectify,[],[f20]) ).
thf(f24,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f25,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f26,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f27,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X3 @ X0 ) )
| ( ( b @ X4 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ X4 )
!= $true )
| ( ( b @ X4 @ X3 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f30,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f33,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f28,f26]) ).
thf(f34,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f28,f26]) ).
thf(f35,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f28,f27]) ).
thf(f38,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ X4 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f29,f28]) ).
thf(f39,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X4 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f38]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f33]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f40]) ).
thf(f47,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f34]) ).
thf(f48,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f47]) ).
thf(f53,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f35,f26]) ).
thf(f54,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f35,f26]) ).
thf(f55,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) ) ),
inference(extensionality_resolution,[],[f35,f27]) ).
thf(f65,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f29,f53]) ).
thf(f68,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f65]) ).
thf(f73,definition,
( spl0_2
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f74,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
thf(f77,definition,
( spl0_3
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f78,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f77]) ).
thf(f80,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f30,f74]) ).
thf(f81,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f80]) ).
thf(f82,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f30,f78]) ).
thf(f83,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f82]) ).
thf(f87,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f68,f33]) ).
thf(f90,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f93,definition,
( spl0_4
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f94,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f93]) ).
thf(f96,definition,
( spl0_5
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f97,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_5 ),
inference(avatar_component_clause,[],[f96]) ).
thf(f99,definition,
( spl0_6
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f100,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f99]) ).
thf(f101,plain,
( spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f90,f99,f96,f93]) ).
thf(f102,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_5 ),
inference(constrained_superposition,[],[f97,f33]) ).
thf(f104,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f102]) ).
thf(f106,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f30,f54]) ).
thf(f107,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f106]) ).
thf(f111,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f55,f26]) ).
thf(f112,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f55,f26]) ).
thf(f113,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f55,f27]) ).
thf(f126,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(constrained_superposition,[],[f29,f111]) ).
thf(f128,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f126]) ).
thf(f135,definition,
( spl0_8
<=> ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f136,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f135]) ).
thf(f139,definition,
( spl0_9
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f140,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f139]) ).
thf(f146,definition,
( spl0_11
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f147,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f146]) ).
thf(f150,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f30,f140]) ).
thf(f152,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f150]) ).
thf(f167,definition,
( spl0_13
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f168,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_13 ),
inference(avatar_component_clause,[],[f167]) ).
thf(f170,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_13 ),
inference(constrained_superposition,[],[f168,f33]) ).
thf(f173,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f170]) ).
thf(f175,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f173,f167,f146]) ).
thf(f176,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_11 ),
inference(constrained_superposition,[],[f152,f147]) ).
thf(f177,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f107,f147]) ).
thf(f180,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f177]) ).
thf(f181,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f176]) ).
thf(f182,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f180,f74]) ).
thf(f183,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f181,f74]) ).
thf(f184,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f183]) ).
thf(f194,definition,
( spl0_14
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f195,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f194]) ).
thf(f197,definition,
( spl0_15
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f198,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_15 ),
inference(avatar_component_clause,[],[f197]) ).
thf(f200,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_15 ),
inference(constrained_superposition,[],[f198,f34]) ).
thf(f202,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_15 ),
inference(trivial_inequality_removal,[],[f200]) ).
thf(f237,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(constrained_superposition,[],[f29,f112]) ).
thf(f242,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f237]) ).
thf(f244,definition,
( spl0_16
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f245,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_16 ),
inference(avatar_component_clause,[],[f244]) ).
thf(f247,definition,
( spl0_17
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f248,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f247]) ).
thf(f250,definition,
( spl0_18
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f251,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f250]) ).
thf(f254,definition,
( spl0_19
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f255,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_19 ),
inference(avatar_component_clause,[],[f254]) ).
thf(f264,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| spl0_16 ),
inference(constrained_superposition,[],[f245,f34]) ).
thf(f266,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_16 ),
inference(trivial_inequality_removal,[],[f264]) ).
thf(f268,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f266,f244,f135]) ).
thf(f272,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_19 ),
inference(constrained_superposition,[],[f255,f53]) ).
thf(f274,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_19 ),
inference(constrained_superposition,[],[f255,f28]) ).
thf(f276,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_19 ),
inference(trivial_inequality_removal,[],[f272]) ).
thf(f277,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_19 ),
inference(trivial_inequality_removal,[],[f274]) ).
thf(f279,plain,
( spl0_9
| spl0_19 ),
inference(avatar_split_clause,[],[f276,f254,f139]) ).
thf(f281,definition,
( spl0_22
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f282,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f281]) ).
thf(f283,plain,
( spl0_9
| spl0_22
| spl0_19 ),
inference(avatar_split_clause,[],[f277,f254,f281,f139]) ).
thf(f384,definition,
( spl0_23
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f385,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_23 ),
inference(avatar_component_clause,[],[f384]) ).
thf(f390,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_23 ),
inference(constrained_superposition,[],[f385,f54]) ).
thf(f391,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_23 ),
inference(trivial_inequality_removal,[],[f390]) ).
thf(f803,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
= $true )
| ( ( b @ X3 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( $true != $true )
| ( X1 = X2 ) ),
inference(constrained_superposition,[],[f39,f34]) ).
thf(f805,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( X1 = X2 )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( r @ X1 @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f39,f53]) ).
thf(f807,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f39,f111]) ).
thf(f809,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( X0 = X1 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_11 ),
inference(constrained_superposition,[],[f39,f182]) ).
thf(f811,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X3 @ z )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( X1 = X2 )
| ( $true
!= ( b @ ( s @ X0 ) @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f803]) ).
thf(f812,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( X0 = X1 )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f809]) ).
thf(f814,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) )
| ( X1 = X2 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ X1 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f805]) ).
thf(f817,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f807]) ).
thf(f820,definition,
( spl0_25
<=> ! [X2: $i,X1: $i] :
( ( ( b @ z @ X2 )
!= $true )
| ( X1 = X2 )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f821,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ z @ X2 )
!= $true )
| ( X1 = X2 )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
= $true ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f820]) ).
thf(f823,definition,
( spl0_26
<=> ! [X0: $i,X3: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( ( b @ X3 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f824,plain,
( ! [X3: $i,X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X3 @ z )
!= $true ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f823]) ).
thf(f825,plain,
( spl0_25
| spl0_26 ),
inference(avatar_split_clause,[],[f811,f823,f820]) ).
thf(f827,definition,
( spl0_27
<=> ! [X2: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f828,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f827]) ).
thf(f830,definition,
( spl0_28
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( X0 = X1 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f831,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f830]) ).
thf(f832,plain,
( spl0_27
| spl0_28
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f812,f146,f73,f830,f827]) ).
thf(f834,definition,
( spl0_29
<=> ! [X0: $i,X3: $i] :
( ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f835,plain,
( ! [X3: $i,X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f834]) ).
thf(f837,definition,
( spl0_30
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f838,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f837]) ).
thf(f839,plain,
( spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f814,f837,f834]) ).
thf(f841,definition,
( spl0_31
<=> ! [X0: $i,X3: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f842,plain,
( ! [X3: $i,X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f841]) ).
thf(f843,plain,
( spl0_28
| spl0_31 ),
inference(avatar_split_clause,[],[f817,f841,f830]) ).
thf(f876,definition,
( spl0_36
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f877,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f876]) ).
thf(f889,plain,
( spl0_36
| spl0_23 ),
inference(avatar_split_clause,[],[f391,f384,f876]) ).
thf(f896,definition,
( spl0_40
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f897,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f896]) ).
thf(f912,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_9 ),
inference(constrained_superposition,[],[f81,f140]) ).
thf(f913,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f30,f140]) ).
thf(f914,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f912]) ).
thf(f915,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f913]) ).
thf(f916,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f914,f136]) ).
thf(f917,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f916]) ).
thf(f926,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f100,f28]) ).
thf(f928,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( z = X0 ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f926]) ).
thf(f959,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X1 )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f928,f28]) ).
thf(f962,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f959]) ).
thf(f967,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f962,f28]) ).
thf(f969,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f962,f53]) ).
thf(f972,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f962,f112]) ).
thf(f974,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f969]) ).
thf(f975,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f972]) ).
thf(f976,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( X0 = X1 )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f967]) ).
thf(f1017,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ ( s @ X1 ) @ z )
!= $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f824,f35]) ).
thf(f1019,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( ( b @ ( s @ ( s @ X1 ) ) @ z )
!= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f824,f55]) ).
thf(f1022,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= X1 )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f824,f28]) ).
thf(f1027,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X1 ) ) @ z )
!= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1019]) ).
thf(f1028,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1022]) ).
thf(f1029,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X1 ) @ z )
!= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1017]) ).
thf(f1042,definition,
( spl0_47
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
thf(f1043,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f1042]) ).
thf(f1045,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f975,f26]) ).
thf(f1046,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f104,f96,f73]) ).
thf(f1049,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1045,f26]) ).
thf(f1051,plain,
( spl0_8
| spl0_17
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1049,f99,f247,f135]) ).
thf(f1053,definition,
( spl0_48
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f1054,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1053]) ).
thf(f1056,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f30,f136]) ).
thf(f1057,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1056]) ).
thf(f1062,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_9 ),
inference(constrained_superposition,[],[f83,f140]) ).
thf(f1063,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_3
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1062]) ).
thf(f1064,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1063,f136]) ).
thf(f1065,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1064]) ).
thf(f1066,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f202,f197,f77]) ).
thf(f1068,definition,
( spl0_49
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f1069,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f1068]) ).
thf(f1071,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f974,f26]) ).
thf(f1073,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1071,f26]) ).
thf(f1074,plain,
( spl0_48
| spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1073,f99,f77,f1053]) ).
thf(f1076,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f1057,f54]) ).
thf(f1077,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1076]) ).
thf(f1078,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_3 ),
inference(avatar_component_clause,[],[f77]) ).
thf(f1079,plain,
( ~ spl0_3
| spl0_36
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1077,f135,f876,f77]) ).
thf(f1080,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f1069,f34]) ).
thf(f1083,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f1080]) ).
thf(f1085,plain,
( spl0_48
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1083,f1068,f1053]) ).
thf(f1086,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f30,f1054]) ).
thf(f1087,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1086]) ).
thf(f1093,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true ) )
| spl0_3
| ~ spl0_6 ),
inference(constrained_superposition,[],[f1078,f976]) ).
thf(f1097,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 ) )
| spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1093]) ).
thf(f1100,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1097,f26]) ).
thf(f1101,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| spl0_3
| ~ spl0_6 ),
inference(constrained_superposition,[],[f30,f1100]) ).
thf(f1102,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( z = X0 ) )
| spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1101]) ).
thf(f1119,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true != $true ) )
| spl0_3
| ~ spl0_6 ),
inference(constrained_superposition,[],[f1102,f1100]) ).
thf(f1121,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X1 )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) ) )
| spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1119]) ).
thf(f1124,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f1028,f34]) ).
thf(f1125,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1124]) ).
thf(f1154,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_26 ),
inference(extensionality_resolution,[],[f1029,f26]) ).
thf(f1157,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f1029,f34]) ).
thf(f1160,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1157]) ).
thf(f1180,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_17
| ~ spl0_48 ),
inference(constrained_superposition,[],[f1087,f248]) ).
thf(f1184,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_17
| ~ spl0_48 ),
inference(duplicate_literal_removal,[],[f1180]) ).
thf(f1185,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_17
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1184]) ).
thf(f1189,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ~ spl0_9
| ~ spl0_17
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1185,f140]) ).
thf(f1192,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_17
| ~ spl0_48 ),
inference(constrained_superposition,[],[f30,f1189]) ).
thf(f1193,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_9
| ~ spl0_17
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1192]) ).
thf(f1197,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true ) )
| ~ spl0_9
| ~ spl0_17
| ~ spl0_48 ),
inference(constrained_superposition,[],[f1193,f113]) ).
thf(f1202,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true ) )
| ~ spl0_9
| ~ spl0_17
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1197]) ).
thf(f1204,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( X0 = X1 ) )
| ~ spl0_9
| ~ spl0_17
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1202,f1189]) ).
thf(f1205,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_17
| ~ spl0_48 ),
inference(extensionality_resolution,[],[f1204,f26]) ).
thf(f1233,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_9
| ~ spl0_17
| ~ spl0_29
| ~ spl0_48 ),
inference(constrained_superposition,[],[f835,f1205]) ).
thf(f1237,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_17
| ~ spl0_48 ),
inference(constrained_superposition,[],[f128,f1205]) ).
thf(f1251,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_9
| ~ spl0_17
| ~ spl0_29
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1233]) ).
thf(f1252,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_17
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1237]) ).
thf(f1258,definition,
( spl0_50
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f1259,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f1258]) ).
thf(f1265,definition,
( spl0_52
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f1266,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f1265]) ).
thf(f1268,definition,
( spl0_53
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f1269,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f1268]) ).
thf(f1272,definition,
( spl0_54
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f1273,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f1272]) ).
thf(f1275,definition,
( spl0_55
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f1276,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_55 ),
inference(avatar_component_clause,[],[f1275]) ).
thf(f1277,plain,
( spl0_54
| ~ spl0_55
| ~ spl0_9
| ~ spl0_17
| ~ spl0_29
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1251,f1053,f834,f247,f139,f1275,f1272]) ).
thf(f1279,definition,
( spl0_56
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f1280,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1279]) ).
thf(f1281,plain,
( spl0_56
| spl0_52
| ~ spl0_9
| ~ spl0_17
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1252,f1053,f247,f139,f1265,f1279]) ).
thf(f1283,definition,
( spl0_57
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f1284,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f1283]) ).
thf(f1290,definition,
( spl0_59
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f1291,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f1290]) ).
thf(f1331,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_26 ),
inference(extensionality_resolution,[],[f1160,f26]) ).
thf(f1332,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_26 ),
inference(extensionality_resolution,[],[f1160,f26]) ).
thf(f1336,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(constrained_superposition,[],[f1087,f1160]) ).
thf(f1341,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X2 @ ( s @ X1 ) ) )
| ( X0 = X1 ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f30,f1160]) ).
thf(f1343,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ X1 ) ) )
| ( $true
!= ( r @ X2 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1341]) ).
thf(f1345,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X1 )
= X0 )
| ( $true != $true ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(duplicate_literal_removal,[],[f1336]) ).
thf(f1346,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ X1 )
= X0 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1345]) ).
thf(f1360,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( X0 = X1 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X1 @ X0 )
= $true )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f831,f28]) ).
thf(f1364,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( X0 = X1 )
| ( ( r @ X1 @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f1360]) ).
thf(f1376,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z
= ( s @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X0 )
= z )
| ( X0 = X1 )
| ( ( s @ X1 )
= ( s @ z ) ) )
| spl0_3
| ~ spl0_6
| ~ spl0_26 ),
inference(constrained_superposition,[],[f1121,f1160]) ).
thf(f1378,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X1 )
= ( s @ z ) )
| ( z
= ( s @ X1 ) )
| ( ( s @ X0 )
= z ) )
| spl0_3
| ~ spl0_6
| ~ spl0_26 ),
inference(duplicate_literal_removal,[],[f1376]) ).
thf(f1379,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ X1 ) )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| spl0_3
| ~ spl0_6
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1378]) ).
thf(f1381,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| spl0_3
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1379,f26]) ).
thf(f1383,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X1 )
= ( s @ z ) ) )
| spl0_3
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1381,f26]) ).
thf(f1385,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X2 ) @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( X0 = X2 )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= ( s @ X2 ) ) )
| spl0_3
| ~ spl0_6
| ~ spl0_26 ),
inference(constrained_superposition,[],[f30,f1383]) ).
thf(f1387,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( X0 = X2 )
| ( $true
= ( r @ ( s @ X2 ) @ z ) )
| ( ( s @ z )
= ( s @ X2 ) ) )
| spl0_3
| ~ spl0_6
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1385]) ).
thf(f1489,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(constrained_superposition,[],[f1346,f1160]) ).
thf(f1495,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X1 )
= X0 )
| ( $true != $true ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(duplicate_literal_removal,[],[f1489]) ).
thf(f1496,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1495]) ).
thf(f1500,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X1 )
= X0 ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1496,f1078]) ).
thf(f1502,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( z = X2 )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X2 ) @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= X2 ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48 ),
inference(constrained_superposition,[],[f30,f1500]) ).
thf(f1504,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ X2 ) @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( z = X2 )
| ( ( s @ X0 )
= X2 ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1502]) ).
thf(f1548,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f1364,f53]) ).
thf(f1555,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f1548]) ).
thf(f1606,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true != $true )
| ( z = X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(constrained_superposition,[],[f1343,f1054]) ).
thf(f1616,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ X1 ) ) ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1606]) ).
thf(f1625,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X1 ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1616,f1078]) ).
thf(f1658,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X1 )
= ( s @ ( s @ X0 ) ) )
| ( $true != $true ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48 ),
inference(constrained_superposition,[],[f1625,f1125]) ).
thf(f1663,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X1 )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( z = X1 ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48 ),
inference(duplicate_literal_removal,[],[f1658]) ).
thf(f1664,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X1 )
= ( s @ ( s @ X0 ) ) )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1663]) ).
thf(f1667,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( z = X2 )
| ( ( s @ X2 )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X2 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48 ),
inference(constrained_superposition,[],[f30,f1664]) ).
thf(f1669,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ X2 ) @ z ) )
| ( z = X2 )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( s @ X2 )
= ( s @ ( s @ X0 ) ) ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1667]) ).
thf(f1726,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f1027,f34]) ).
thf(f1728,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1726]) ).
thf(f1754,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
!= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(constrained_superposition,[],[f1087,f1728]) ).
thf(f1774,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
!= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(duplicate_literal_removal,[],[f1754]) ).
thf(f1775,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1774]) ).
thf(f1793,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1775,f1054]) ).
thf(f1802,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X1 ) ) ) @ z )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(extensionality_resolution,[],[f1793,f27]) ).
thf(f1807,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X2 ) ) @ z ) )
| ( X0 = X2 )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(constrained_superposition,[],[f30,f1793]) ).
thf(f1809,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X2 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( X0 = X2 ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1807]) ).
thf(f1811,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X1 ) ) ) ) @ z )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(extensionality_resolution,[],[f1802,f27]) ).
thf(f1813,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(extensionality_resolution,[],[f1802,f26]) ).
thf(f1814,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(extensionality_resolution,[],[f1802,f26]) ).
thf(f1816,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X2 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X2 ) ) ) @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(constrained_superposition,[],[f30,f1802]) ).
thf(f1819,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X2 ) ) ) @ z ) )
| ( X0 = X2 )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f1816]) ).
thf(f1821,definition,
( spl0_64
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
thf(f1822,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f1821]) ).
thf(f1824,definition,
( spl0_65
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
thf(f1825,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f1824]) ).
thf(f1826,plain,
( spl0_64
| spl0_65
| ~ spl0_26
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1813,f1053,f823,f1824,f1821]) ).
thf(f1827,plain,
( spl0_64
| spl0_65
| ~ spl0_26
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1814,f1053,f823,f1824,f1821]) ).
thf(f1829,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f30,f1822]) ).
thf(f1831,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f1829]) ).
thf(f1835,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( z = X0 ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f1831,f113]) ).
thf(f1839,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f1835]) ).
thf(f1874,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ z ) ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(extensionality_resolution,[],[f1811,f26]) ).
thf(f1881,definition,
( spl0_66
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f1882,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ z ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1881]) ).
thf(f1884,definition,
( spl0_67
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
thf(f1885,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f1884]) ).
thf(f1887,plain,
( spl0_67
| spl0_66
| ~ spl0_26
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1874,f1053,f823,f1881,f1884]) ).
thf(f1889,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_67 ),
inference(constrained_superposition,[],[f30,f1885]) ).
thf(f1891,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f1889]) ).
thf(f1919,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_64
| ~ spl0_67 ),
inference(constrained_superposition,[],[f1839,f1885]) ).
thf(f1941,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_64
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f1919]) ).
thf(f1951,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_64
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f1941,f26]) ).
thf(f1956,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_64
| ~ spl0_67 ),
inference(constrained_superposition,[],[f242,f1951]) ).
thf(f1957,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_64
| ~ spl0_67 ),
inference(constrained_superposition,[],[f128,f1951]) ).
thf(f1963,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( X0 = X1 ) )
| ~ spl0_64
| ~ spl0_67 ),
inference(constrained_superposition,[],[f39,f1951]) ).
thf(f1965,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_64
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f1956]) ).
thf(f1968,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( X0 = X1 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_64
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f1963]) ).
thf(f1973,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_64
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f1957]) ).
thf(f1978,definition,
( spl0_68
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f1979,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_68 ),
inference(avatar_component_clause,[],[f1978]) ).
thf(f1981,definition,
( spl0_69
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f1982,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f1981]) ).
thf(f1983,plain,
( spl0_53
| ~ spl0_68
| spl0_69
| ~ spl0_64
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f1965,f1884,f1821,f1981,f1978,f1268]) ).
thf(f1985,definition,
( spl0_70
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f1986,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_70 ),
inference(avatar_component_clause,[],[f1985]) ).
thf(f1989,definition,
( spl0_71
<=> ! [X2: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f1990,plain,
( ! [X2: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f1989]) ).
thf(f1991,plain,
( spl0_59
| spl0_71
| ~ spl0_64
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f1968,f1884,f1821,f1989,f1290]) ).
thf(f1993,definition,
( spl0_72
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
thf(f1994,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f1993]) ).
thf(f1997,definition,
( spl0_73
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f1998,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_73 ),
inference(avatar_component_clause,[],[f1997]) ).
thf(f2000,plain,
( spl0_56
| spl0_69
| ~ spl0_68
| ~ spl0_64
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f1973,f1884,f1821,f1978,f1981,f1279]) ).
thf(f2008,definition,
( spl0_74
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f2009,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f2008]) ).
thf(f2019,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f30,f1284]) ).
thf(f2020,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f2019]) ).
thf(f2028,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_70 ),
inference(constrained_superposition,[],[f1986,f34]) ).
thf(f2030,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_70 ),
inference(trivial_inequality_removal,[],[f2028]) ).
thf(f2032,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_73 ),
inference(constrained_superposition,[],[f1998,f53]) ).
thf(f2034,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_73 ),
inference(constrained_superposition,[],[f1998,f28]) ).
thf(f2035,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_73 ),
inference(trivial_inequality_removal,[],[f2034]) ).
thf(f2037,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_73 ),
inference(trivial_inequality_removal,[],[f2032]) ).
thf(f2039,definition,
( spl0_75
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
thf(f2040,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f2039]) ).
thf(f2041,plain,
( spl0_75
| spl0_72
| spl0_73 ),
inference(avatar_split_clause,[],[f2035,f1997,f1993,f2039]) ).
thf(f2043,plain,
( spl0_72
| spl0_73 ),
inference(avatar_split_clause,[],[f2037,f1997,f1993]) ).
thf(f2050,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f30,f1994]) ).
thf(f2054,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f2050]) ).
thf(f2062,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_68 ),
inference(constrained_superposition,[],[f1979,f28]) ).
thf(f2063,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_68 ),
inference(trivial_inequality_removal,[],[f2062]) ).
thf(f2068,definition,
( spl0_76
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
thf(f2069,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f2068]) ).
thf(f2071,definition,
( spl0_77
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
thf(f2072,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f2071]) ).
thf(f2073,plain,
( spl0_76
| spl0_77
| spl0_68 ),
inference(avatar_split_clause,[],[f2063,f1978,f2071,f2068]) ).
thf(f2082,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1057,f2069]) ).
thf(f2083,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_76 ),
inference(constrained_superposition,[],[f915,f2069]) ).
thf(f2087,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1504,f2069]) ).
thf(f2094,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) ) )
| spl0_3
| ~ spl0_6
| ~ spl0_26
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1387,f2069]) ).
thf(f2100,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_8
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f2082]) ).
thf(f2114,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f2083]) ).
thf(f2121,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| spl0_3
| ~ spl0_6
| ~ spl0_26
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f2094]) ).
thf(f2122,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f2087]) ).
thf(f2123,plain,
( $false
| ~ spl0_8
| ~ spl0_67
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f2100,f1885]) ).
thf(f2124,plain,
( ~ spl0_8
| ~ spl0_67
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f2123]) ).
thf(f2131,plain,
( $false
| ~ spl0_9
| ~ spl0_72
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f2114,f1994]) ).
thf(f2132,plain,
( ~ spl0_9
| ~ spl0_72
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f2131]) ).
thf(f2137,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| spl0_3
| ~ spl0_6
| ~ spl0_26
| ~ spl0_67
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f2121,f1885]) ).
thf(f2138,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_67
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f2122,f1885]) ).
thf(f2141,definition,
( spl0_78
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
thf(f2142,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f2141]) ).
thf(f2145,definition,
( spl0_79
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f2146,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f2145]) ).
thf(f2149,definition,
( spl0_80
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f2150,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f2149]) ).
thf(f2151,plain,
( spl0_80
| spl0_22
| spl0_3
| ~ spl0_6
| ~ spl0_26
| ~ spl0_67
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f2137,f2068,f1884,f823,f99,f77,f281,f2149]) ).
thf(f2152,plain,
( spl0_79
| spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_67
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f2138,f2068,f1884,f1053,f823,f77,f2145]) ).
thf(f2154,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f30,f1825]) ).
thf(f2155,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f2154]) ).
thf(f2173,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_26
| ~ spl0_57 ),
inference(constrained_superposition,[],[f2020,f1125]) ).
thf(f2179,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_26
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f2173]) ).
thf(f2183,definition,
( spl0_81
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
thf(f2184,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f2183]) ).
thf(f2185,plain,
( spl0_64
| spl0_81
| ~ spl0_26
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f2179,f1283,f823,f2183,f1821]) ).
thf(f2191,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_26
| ~ spl0_72 ),
inference(constrained_superposition,[],[f2054,f1125]) ).
thf(f2198,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_26
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f2191]) ).
thf(f2200,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f1990,f111]) ).
thf(f2207,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f2200]) ).
thf(f2213,definition,
( spl0_82
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
thf(f2214,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_82 ),
inference(avatar_component_clause,[],[f2213]) ).
thf(f2215,plain,
( spl0_76
| ~ spl0_82
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f2207,f1989,f2213,f2068]) ).
thf(f2219,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_82 ),
inference(constrained_superposition,[],[f2214,f28]) ).
thf(f2223,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_82 ),
inference(trivial_inequality_removal,[],[f2219]) ).
thf(f2228,definition,
( spl0_83
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f2229,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f2228]) ).
thf(f2230,plain,
( spl0_53
| spl0_83
| spl0_82 ),
inference(avatar_split_clause,[],[f2223,f2213,f2228,f1268]) ).
thf(f2649,definition,
( spl0_84
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
thf(f2650,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_84 ),
inference(avatar_component_clause,[],[f2649]) ).
thf(f2688,definition,
( spl0_93
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
thf(f2689,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f2688]) ).
thf(f2703,definition,
( spl0_97
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
thf(f2704,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_97 ),
inference(avatar_component_clause,[],[f2703]) ).
thf(f2721,definition,
( spl0_100
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
thf(f2722,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f2721]) ).
thf(f2754,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_53 ),
inference(avatar_component_clause,[],[f1268]) ).
thf(f2757,definition,
( spl0_107
<=> ! [X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
thf(f2758,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f2757]) ).
thf(f2775,definition,
( spl0_109
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
thf(f2776,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f2775]) ).
thf(f2790,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f30,f1822]) ).
thf(f2792,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f2790]) ).
thf(f2793,plain,
( spl0_93
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f2792,f1821,f2688]) ).
thf(f2795,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f1982,f33]) ).
thf(f2798,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f1982,f112]) ).
thf(f2799,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f2795]) ).
thf(f2802,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f2798]) ).
thf(f2805,definition,
( spl0_110
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
thf(f2806,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f2805]) ).
thf(f2808,definition,
( spl0_111
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
thf(f2809,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f2808]) ).
thf(f2810,plain,
( spl0_110
| spl0_111
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f2799,f1981,f2808,f2805]) ).
thf(f2812,definition,
( spl0_112
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
thf(f2813,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f2812]) ).
thf(f2815,definition,
( spl0_113
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
thf(f2816,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f2815]) ).
thf(f2817,plain,
( spl0_112
| spl0_113
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f2802,f1981,f2815,f2812]) ).
thf(f2825,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_72
| ~ spl0_113 ),
inference(constrained_superposition,[],[f2054,f2816]) ).
thf(f2826,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_67
| ~ spl0_113 ),
inference(constrained_superposition,[],[f1891,f2816]) ).
thf(f2827,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_65
| ~ spl0_113 ),
inference(constrained_superposition,[],[f2155,f2816]) ).
thf(f2855,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_67
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f2826]) ).
thf(f2863,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_72
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f2825]) ).
thf(f2864,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_65
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f2827]) ).
thf(f2875,plain,
( $false
| ~ spl0_8
| ~ spl0_67
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f2855,f136]) ).
thf(f2876,plain,
( ~ spl0_8
| ~ spl0_67
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[],[f2875]) ).
thf(f2881,plain,
( $false
| ~ spl0_9
| ~ spl0_72
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f2863,f140]) ).
thf(f2882,plain,
( ~ spl0_9
| ~ spl0_72
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[],[f2881]) ).
thf(f2883,plain,
( $false
| ~ spl0_8
| ~ spl0_65
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f2864,f136]) ).
thf(f2884,plain,
( ~ spl0_8
| ~ spl0_65
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[],[f2883]) ).
thf(f2898,definition,
( spl0_116
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
thf(f2899,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f2898]) ).
thf(f2931,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X1 ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_48 ),
inference(extensionality_resolution,[],[f1819,f26]) ).
thf(f2946,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_59 ),
inference(extensionality_resolution,[],[f1291,f26]) ).
thf(f2947,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f1291,f111]) ).
thf(f2948,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f1291,f53]) ).
thf(f2954,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f2948]) ).
thf(f2957,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f2947]) ).
thf(f2960,definition,
( spl0_117
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
thf(f2961,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f2960]) ).
thf(f2962,plain,
( spl0_57
| spl0_117
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f2954,f1290,f2960,f1283]) ).
thf(f2964,definition,
( spl0_118
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
thf(f2965,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f2964]) ).
thf(f2966,plain,
( spl0_118
| ~ spl0_84
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f2946,f1290,f2649,f2964]) ).
thf(f2968,definition,
( spl0_119
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
thf(f2969,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f2968]) ).
thf(f2970,plain,
( spl0_119
| spl0_56
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f2957,f1290,f1279,f2968]) ).
thf(f2971,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| spl0_84 ),
inference(constrained_superposition,[],[f2650,f34]) ).
thf(f2973,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_84 ),
inference(trivial_inequality_removal,[],[f2971]) ).
thf(f2975,plain,
( spl0_64
| spl0_84 ),
inference(avatar_split_clause,[],[f2973,f2649,f1821]) ).
thf(f2991,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f2961,f34]) ).
thf(f2996,plain,
( ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f2991]) ).
thf(f2999,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f2996,f26]) ).
thf(f3000,plain,
( spl0_64
| spl0_2
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f2999,f2960,f73,f1821]) ).
thf(f3001,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_119 ),
inference(constrained_superposition,[],[f2969,f53]) ).
thf(f3003,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_119 ),
inference(constrained_superposition,[],[f2969,f34]) ).
thf(f3005,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true ) )
| ~ spl0_119 ),
inference(constrained_superposition,[],[f2969,f28]) ).
thf(f3008,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f3001]) ).
thf(f3009,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f3005]) ).
thf(f3010,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f3003]) ).
thf(f3011,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f384]) ).
thf(f3012,plain,
( spl0_22
| spl0_23
| spl0_57
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f3008,f2968,f1283,f384,f281]) ).
thf(f3013,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f3010,f26]) ).
thf(f3014,plain,
( spl0_64
| spl0_11
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f3013,f2968,f146,f1821]) ).
thf(f3047,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
thf(f3100,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_72
| ~ spl0_119 ),
inference(constrained_superposition,[],[f2054,f3009]) ).
thf(f3101,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_67
| ~ spl0_119 ),
inference(constrained_superposition,[],[f1891,f3009]) ).
thf(f3117,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_72
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f3100]) ).
thf(f3135,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_67
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f3101]) ).
thf(f3142,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_64 ),
inference(avatar_component_clause,[],[f1821]) ).
thf(f3144,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_57 ),
inference(avatar_component_clause,[],[f1283]) ).
thf(f3158,definition,
( spl0_124
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
thf(f3159,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f3158]) ).
thf(f3160,plain,
( spl0_76
| spl0_124
| ~ spl0_57
| spl0_77
| ~ spl0_72
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f3117,f2968,f1993,f2071,f1283,f3158,f2068]) ).
thf(f3203,plain,
( spl0_76
| spl0_77
| ~ spl0_64
| spl0_124
| ~ spl0_67
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f3135,f2968,f1884,f3158,f1821,f2071,f2068]) ).
thf(f3222,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_26
| ~ spl0_48
| spl0_64 ),
inference(constrained_superposition,[],[f3142,f1793]) ).
thf(f3234,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_26
| ~ spl0_48
| spl0_64 ),
inference(trivial_inequality_removal,[],[f3222]) ).
thf(f3238,plain,
( spl0_107
| ~ spl0_26
| ~ spl0_48
| spl0_64 ),
inference(avatar_split_clause,[],[f3234,f1821,f1053,f823,f2757]) ).
thf(f3250,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| spl0_57 ),
inference(constrained_superposition,[],[f3144,f94]) ).
thf(f3251,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_48
| spl0_57 ),
inference(constrained_superposition,[],[f3144,f1054]) ).
thf(f3253,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_26
| spl0_57 ),
inference(constrained_superposition,[],[f3144,f1160]) ).
thf(f3254,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_48
| spl0_57 ),
inference(trivial_inequality_removal,[],[f3251]) ).
thf(f3255,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_26
| spl0_57 ),
inference(trivial_inequality_removal,[],[f3253]) ).
thf(f3257,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| spl0_57 ),
inference(trivial_inequality_removal,[],[f3250]) ).
thf(f3258,plain,
( spl0_50
| ~ spl0_4
| spl0_57 ),
inference(avatar_split_clause,[],[f3257,f1283,f93,f1258]) ).
thf(f3268,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f30,f1259]) ).
thf(f3270,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f3268]) ).
thf(f3279,plain,
( spl0_93
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f3270,f1258,f2688]) ).
thf(f3567,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_53
| ~ spl0_93 ),
inference(constrained_superposition,[],[f2689,f1269]) ).
thf(f3570,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_48
| ~ spl0_53 ),
inference(constrained_superposition,[],[f1087,f1269]) ).
thf(f3580,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_48
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f3570]) ).
thf(f3597,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_53
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f3567]) ).
thf(f3606,plain,
( $false
| ~ spl0_8
| ~ spl0_53
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f3597,f136]) ).
thf(f3607,plain,
( ~ spl0_8
| ~ spl0_53
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f3606]) ).
thf(f3615,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_26
| spl0_57 ),
inference(forward_subsumption_resolution,[],[f3255,f26]) ).
thf(f3620,plain,
( spl0_64
| ~ spl0_48
| spl0_57 ),
inference(avatar_split_clause,[],[f3254,f1283,f1053,f1821]) ).
thf(f3621,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_48
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f3580,f140]) ).
thf(f3625,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_3
| ~ spl0_26
| spl0_57 ),
inference(forward_subsumption_resolution,[],[f3615,f1078]) ).
thf(f3626,plain,
( spl0_64
| ~ spl0_9
| ~ spl0_48
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f3621,f1268,f1053,f139,f1821]) ).
thf(f3629,plain,
( spl0_64
| spl0_3
| ~ spl0_26
| spl0_57 ),
inference(avatar_split_clause,[],[f3625,f1283,f823,f77,f1821]) ).
thf(f3646,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_56 ),
inference(constrained_superposition,[],[f1057,f1280]) ).
thf(f3647,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_56 ),
inference(constrained_superposition,[],[f915,f1280]) ).
thf(f3652,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_56 ),
inference(constrained_superposition,[],[f1669,f1280]) ).
thf(f3662,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f3647]) ).
thf(f3663,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f3652]) ).
thf(f3666,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f3646]) ).
thf(f3676,plain,
( $false
| ~ spl0_9
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f3662,f1284]) ).
thf(f3677,plain,
( ~ spl0_9
| ~ spl0_56
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f3676]) ).
thf(f3678,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_56
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f3663,f1822]) ).
thf(f3680,plain,
( $false
| ~ spl0_8
| ~ spl0_56
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f3666,f1822]) ).
thf(f3681,plain,
( ~ spl0_8
| ~ spl0_56
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f3680]) ).
thf(f3686,plain,
( spl0_78
| spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_56
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f3678,f1821,f1279,f1053,f823,f77,f2141]) ).
thf(f3690,plain,
( spl0_67
| spl0_70 ),
inference(avatar_split_clause,[],[f2030,f1985,f1884]) ).
thf(f3692,definition,
( spl0_138
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
thf(f3693,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f3692]) ).
thf(f3694,plain,
( spl0_67
| spl0_138
| ~ spl0_26
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f2198,f1993,f823,f3692,f1884]) ).
thf(f3695,plain,
( spl0_93
| spl0_65
| ~ spl0_26
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f2931,f1053,f823,f1824,f2688]) ).
thf(f3707,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_93 ),
inference(constrained_superposition,[],[f2689,f113]) ).
thf(f3713,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f3707]) ).
thf(f3747,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_118 ),
inference(constrained_superposition,[],[f2965,f35]) ).
thf(f3749,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f3747]) ).
thf(f3774,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f1266,f111]) ).
thf(f3781,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f3774]) ).
thf(f3977,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_118 ),
inference(constrained_superposition,[],[f2054,f3749]) ).
thf(f4004,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_72
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f3977]) ).
thf(f4024,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_57
| ~ spl0_72
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f4004,f1284]) ).
thf(f4033,plain,
( spl0_83
| spl0_110
| ~ spl0_57
| ~ spl0_72
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f4024,f2964,f1993,f1283,f2805,f2228]) ).
thf(f4049,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f111,f2229]) ).
thf(f4207,definition,
( spl0_139
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
thf(f4208,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f4207]) ).
thf(f4211,definition,
( spl0_140
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
thf(f4212,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_140 ),
inference(avatar_component_clause,[],[f4211]) ).
thf(f4222,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f4049,f25]) ).
thf(f4233,definition,
( spl0_143
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f4234,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f4233]) ).
thf(f4240,plain,
( $false
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f4222,f24]) ).
thf(f4241,plain,
~ spl0_83,
inference(avatar_contradiction_clause,[],[f4240]) ).
thf(f4556,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_138 ),
inference(constrained_superposition,[],[f3693,f1160]) ).
thf(f4558,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 ) )
| ~ spl0_26
| ~ spl0_138 ),
inference(duplicate_literal_removal,[],[f4556]) ).
thf(f4559,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f4558]) ).
thf(f4570,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| spl0_3
| ~ spl0_26
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f4559,f1078]) ).
thf(f4573,plain,
( spl0_116
| spl0_3
| ~ spl0_26
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f4570,f3692,f823,f77,f2898]) ).
thf(f4829,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( s @ ( s @ z ) )
= X2 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X2 ) ) @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_26
| ~ spl0_48
| ~ spl0_116 ),
inference(constrained_superposition,[],[f1809,f2899]) ).
thf(f5033,definition,
( spl0_148
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f5034,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_148 ),
inference(avatar_component_clause,[],[f5033]) ).
thf(f5054,definition,
( spl0_151
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
thf(f5055,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f5054]) ).
thf(f5059,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_113 ),
inference(avatar_component_clause,[],[f2815]) ).
thf(f5107,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ ( s @ z ) )
= X2 )
| ( $true
= ( r @ ( s @ ( s @ X2 ) ) @ z ) )
| ( z = X0 ) )
| ~ spl0_26
| ~ spl0_48
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f4829,f30]) ).
thf(f5126,definition,
( spl0_160
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f5127,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_160 ),
inference(avatar_component_clause,[],[f5126]) ).
thf(f5147,plain,
( spl0_100
| spl0_109
| ~ spl0_26
| ~ spl0_48
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f5107,f2898,f1053,f823,f2775,f2721]) ).
thf(f6348,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_140 ),
inference(constrained_superposition,[],[f4212,f28]) ).
thf(f6352,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_140 ),
inference(trivial_inequality_removal,[],[f6348]) ).
thf(f6356,plain,
( spl0_56
| spl0_83
| spl0_140 ),
inference(avatar_split_clause,[],[f6352,f4211,f2228,f1279]) ).
thf(f6358,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f4208,f33]) ).
thf(f6361,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f4208,f112]) ).
thf(f6362,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f6358]) ).
thf(f6364,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f6361]) ).
thf(f6368,definition,
( spl0_200
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
thf(f6369,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f6368]) ).
thf(f6370,plain,
( spl0_50
| spl0_200
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f6362,f4207,f6368,f1258]) ).
thf(f6371,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_53
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f6364,f2754]) ).
thf(f6375,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f107,f1259]) ).
thf(f6393,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f6375]) ).
thf(f6420,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_66
| ~ spl0_93 ),
inference(constrained_superposition,[],[f3713,f1882]) ).
thf(f6440,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_66
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f6420]) ).
thf(f6454,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_66
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f6440,f26]) ).
thf(f6462,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_53
| ~ spl0_66
| ~ spl0_93
| ~ spl0_139 ),
inference(constrained_superposition,[],[f6371,f6454]) ).
thf(f6471,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( X1 = X2 )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( ( b @ X3 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_66
| ~ spl0_93 ),
inference(constrained_superposition,[],[f39,f6454]) ).
thf(f6473,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_53
| ~ spl0_66
| ~ spl0_93
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f6462]) ).
thf(f6479,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ X3 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( X1 = X2 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) )
| ~ spl0_66
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f6471]) ).
thf(f6488,definition,
( spl0_201
<=> ! [X0: $i,X3: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ X3 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
thf(f6489,plain,
( ! [X3: $i,X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ X3 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f6488]) ).
thf(f6490,plain,
( spl0_59
| spl0_201
| ~ spl0_66
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f6479,f2688,f1881,f6488,f1290]) ).
thf(f6491,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| spl0_53
| ~ spl0_66
| ~ spl0_93
| ~ spl0_139 ),
inference(constrained_superposition,[],[f6473,f111]) ).
thf(f6497,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_53
| ~ spl0_66
| ~ spl0_93
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f6491]) ).
thf(f6506,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ z ) ) )
| ~ spl0_8
| spl0_53
| ~ spl0_66
| ~ spl0_93
| ~ spl0_139 ),
inference(constrained_superposition,[],[f1057,f6497]) ).
thf(f6512,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ z ) )
| ( z = X1 )
| ( $true != $true ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48
| spl0_53
| ~ spl0_66
| ~ spl0_93
| ~ spl0_139 ),
inference(constrained_superposition,[],[f1669,f6497]) ).
thf(f6534,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ z ) )
| ~ spl0_8
| spl0_53
| ~ spl0_66
| ~ spl0_93
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f6506]) ).
thf(f6540,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X1 )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48
| spl0_53
| ~ spl0_66
| ~ spl0_93
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f6512]) ).
thf(f6553,plain,
( $false
| ~ spl0_8
| spl0_53
| ~ spl0_66
| ~ spl0_93
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f6534,f1882]) ).
thf(f6554,plain,
( ~ spl0_8
| spl0_53
| ~ spl0_66
| ~ spl0_93
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f6553]) ).
thf(f6557,plain,
( ! [X1: $i] :
( ( z = X1 )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48
| spl0_53
| ~ spl0_66
| ~ spl0_93
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f6540,f1882]) ).
thf(f6565,definition,
( spl0_203
<=> ! [X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f6566,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f6565]) ).
thf(f6573,plain,
( spl0_78
| spl0_3
| ~ spl0_26
| ~ spl0_48
| spl0_53
| ~ spl0_66
| ~ spl0_93
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f6557,f4207,f2688,f1881,f1268,f1053,f823,f77,f2141]) ).
thf(f6578,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_201 ),
inference(constrained_superposition,[],[f6489,f111]) ).
thf(f6586,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f6578]) ).
thf(f6593,definition,
( spl0_204
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
thf(f6594,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f6593]) ).
thf(f6595,plain,
( ~ spl0_82
| spl0_204
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f6586,f6488,f6593,f2213]) ).
thf(f6608,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X1 )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ z ) )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_204 ),
inference(constrained_superposition,[],[f1669,f6594]) ).
thf(f6633,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X1 ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f6608]) ).
thf(f6650,plain,
( ! [X1: $i] :
( ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X1 ) )
| spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_66
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f6633,f1882]) ).
thf(f6664,plain,
( spl0_78
| spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_66
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f6650,f6593,f1881,f1053,f823,f77,f2141]) ).
thf(f6674,definition,
( spl0_206
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ X1 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).
thf(f6675,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ X1 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f6674]) ).
thf(f6684,definition,
( spl0_208
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
thf(f6685,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f6684]) ).
thf(f6692,definition,
( spl0_210
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
thf(f6693,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f6692]) ).
thf(f6706,definition,
( spl0_213
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
thf(f6707,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f6706]) ).
thf(f6708,plain,
( spl0_3
| spl0_213
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1154,f823,f6706,f77]) ).
thf(f6710,definition,
( spl0_214
<=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
thf(f6711,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_214 ),
inference(avatar_component_clause,[],[f6710]) ).
thf(f6715,definition,
( spl0_215
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).
thf(f6716,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f6715]) ).
thf(f6717,plain,
( spl0_215
| spl0_9
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1555,f830,f139,f6715]) ).
thf(f6733,plain,
( spl0_208
| spl0_3
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1331,f823,f77,f6684]) ).
thf(f6748,plain,
( spl0_3
| spl0_48
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1332,f823,f1053,f77]) ).
thf(f6767,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f30,f78]) ).
thf(f6769,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f6767]) ).
thf(f6782,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f29,f877]) ).
thf(f6791,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f6782]) ).
thf(f6798,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_214 ),
inference(constrained_superposition,[],[f6711,f33]) ).
thf(f6800,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_214 ),
inference(trivial_inequality_removal,[],[f6798]) ).
thf(f6825,definition,
( spl0_223
<=> ! [X2: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f6826,plain,
( ! [X2: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f6825]) ).
thf(f6834,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_57 ),
inference(constrained_superposition,[],[f6769,f1284]) ).
thf(f6838,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_3
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f6834]) ).
thf(f6840,plain,
( $false
| ~ spl0_3
| ~ spl0_57
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f6838,f1822]) ).
thf(f6841,plain,
( ~ spl0_3
| ~ spl0_57
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f6840]) ).
thf(f7067,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f2213]) ).
thf(f7102,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X2 @ X0 )
!= $true ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f29,f7067]) ).
thf(f7104,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f7102]) ).
thf(f7118,definition,
( spl0_227
<=> ! [X2: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f7119,plain,
( ! [X2: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f7118]) ).
thf(f7456,definition,
( spl0_229
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).
thf(f7457,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f7456]) ).
thf(f7458,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_67 ),
inference(avatar_component_clause,[],[f1884]) ).
thf(f7618,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_223 ),
inference(constrained_superposition,[],[f6826,f112]) ).
thf(f7623,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f7618]) ).
thf(f7627,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_36
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f7623,f877]) ).
thf(f7630,plain,
( $false
| ~ spl0_36
| spl0_53
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f7627,f2754]) ).
thf(f7631,plain,
( ~ spl0_36
| spl0_53
| ~ spl0_223 ),
inference(avatar_contradiction_clause,[],[f7630]) ).
thf(f7635,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_210 ),
inference(avatar_component_clause,[],[f6692]) ).
thf(f7643,definition,
( spl0_231
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).
thf(f7644,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f7643]) ).
thf(f7649,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_231 ),
inference(constrained_superposition,[],[f30,f7644]) ).
thf(f7650,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f7649]) ).
thf(f7656,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_50
| ~ spl0_231 ),
inference(constrained_superposition,[],[f7650,f1259]) ).
thf(f7658,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_50
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f7656]) ).
thf(f7705,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f195,f33]) ).
thf(f7707,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f195,f53]) ).
thf(f7709,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f7705]) ).
thf(f7710,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f7707]) ).
thf(f7712,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| spl0_2
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f7709,f3047]) ).
thf(f7716,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| spl0_2
| ~ spl0_14 ),
inference(constrained_superposition,[],[f7712,f53]) ).
thf(f7718,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f7716]) ).
thf(f7721,plain,
( spl0_49
| spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f7718,f194,f73,f1068]) ).
thf(f7736,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_18
| ~ spl0_36 ),
inference(constrained_superposition,[],[f251,f877]) ).
thf(f7740,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_18
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f7736]) ).
thf(f7746,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_18
| ~ spl0_36 ),
inference(constrained_superposition,[],[f7740,f28]) ).
thf(f7755,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_18
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f7746]) ).
thf(f7774,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_82 ),
inference(constrained_superposition,[],[f7710,f7067]) ).
thf(f7777,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f7774]) ).
thf(f7786,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_14
| spl0_57
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f7777,f3144]) ).
thf(f7789,plain,
( ~ spl0_19
| ~ spl0_14
| spl0_57
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f7786,f2213,f1283,f194,f254]) ).
thf(f7803,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f7104,f33]) ).
thf(f7812,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f7803]) ).
thf(f7882,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( ( b @ z @ ( s @ X1 ) )
!= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) ) )
| ~ spl0_25 ),
inference(extensionality_resolution,[],[f821,f27]) ).
thf(f7886,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f821,f33]) ).
thf(f7887,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ z @ X0 )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ X1 @ X0 )
= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f821,f28]) ).
thf(f7888,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f7886]) ).
thf(f7889,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f7887]) ).
thf(f7890,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( r @ z @ X1 )
= $true )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X1 )
| ( $true != $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f7889,f33]) ).
thf(f7891,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X1 )
| ( $true != $true )
| ( ( r @ z @ X1 )
= $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f7889,f28]) ).
thf(f7892,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
= $true )
| ( z = X0 )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( z = X1 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f7891]) ).
thf(f7893,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( s @ X0 )
= X1 )
| ( ( r @ z @ X1 )
= $true )
| ( z = X1 ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f7890]) ).
thf(f7949,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_74 ),
inference(constrained_superposition,[],[f112,f2009]) ).
thf(f8021,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f7949,f24]) ).
thf(f8048,plain,
( $false
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f8021,f25]) ).
thf(f8049,plain,
~ spl0_74,
inference(avatar_contradiction_clause,[],[f8048]) ).
thf(f8055,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f828,f28]) ).
thf(f8064,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f8055]) ).
thf(f8088,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f30,f94]) ).
thf(f8090,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f8088]) ).
thf(f8102,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f30,f1054]) ).
thf(f8104,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f8102]) ).
thf(f8105,plain,
( spl0_206
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f8104,f1053,f6674]) ).
thf(f8121,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ z )
= X0 ) )
| spl0_2
| ~ spl0_25 ),
inference(constrained_superposition,[],[f3047,f7892]) ).
thf(f8138,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= X0 ) )
| spl0_2
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f8121]) ).
thf(f8141,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| spl0_2
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f8138,f26]) ).
thf(f8153,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| spl0_23
| ~ spl0_203 ),
inference(constrained_superposition,[],[f385,f6566]) ).
thf(f8158,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_23
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f8153]) ).
thf(f8159,plain,
( ( z
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_3
| spl0_23
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f8158,f1078]) ).
thf(f8160,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_3
| spl0_23
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f8159,f26]) ).
thf(f8161,plain,
( spl0_22
| spl0_3
| spl0_23
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f8160,f6565,f384,f77,f281]) ).
thf(f8162,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f8064,f34]) ).
thf(f8166,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f8162]) ).
thf(f8169,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_18
| ~ spl0_36 ),
inference(constrained_superposition,[],[f7755,f28]) ).
thf(f8175,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_18
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f8169]) ).
thf(f8180,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_30 ),
inference(extensionality_resolution,[],[f838,f26]) ).
thf(f8182,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_30
| ~ spl0_36 ),
inference(constrained_superposition,[],[f838,f877]) ).
thf(f8183,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f838,f34]) ).
thf(f8186,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_30
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f8182]) ).
thf(f8187,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f8183]) ).
thf(f8190,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| spl0_3
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f8187,f1078]) ).
thf(f8196,definition,
( spl0_239
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).
thf(f8197,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f8196]) ).
thf(f8198,plain,
( ~ spl0_15
| spl0_239
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f8180,f837,f8196,f197]) ).
thf(f8211,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_3
| ~ spl0_30
| ~ spl0_36 ),
inference(constrained_superposition,[],[f8190,f877]) ).
thf(f8213,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| spl0_3
| ~ spl0_30 ),
inference(constrained_superposition,[],[f8190,f28]) ).
thf(f8214,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_3
| ~ spl0_30
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f8211]) ).
thf(f8216,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| spl0_3
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f8213]) ).
thf(f8218,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_3
| spl0_23
| ~ spl0_30 ),
inference(constrained_superposition,[],[f385,f8216]) ).
thf(f8233,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_3
| spl0_23
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f8218]) ).
thf(f8315,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_30
| ~ spl0_36 ),
inference(constrained_superposition,[],[f8186,f28]) ).
thf(f8316,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_30
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f8315]) ).
thf(f8319,plain,
( spl0_215
| ~ spl0_30
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f8316,f876,f837,f6715]) ).
thf(f8350,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f7888,f28]) ).
thf(f8351,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f8350]) ).
thf(f8410,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_113
| ~ spl0_215 ),
inference(constrained_superposition,[],[f5059,f6716]) ).
thf(f8426,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_113
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f8410]) ).
thf(f8432,definition,
( spl0_240
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).
thf(f8433,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f8432]) ).
thf(f8434,plain,
( spl0_240
| spl0_75
| spl0_77
| spl0_113
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f8426,f6715,f2815,f2071,f2039,f8432]) ).
thf(f8435,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f107,f2816]) ).
thf(f8436,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_113
| ~ spl0_206 ),
inference(constrained_superposition,[],[f6675,f2816]) ).
thf(f8437,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_113 ),
inference(constrained_superposition,[],[f8090,f2816]) ).
thf(f8440,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f30,f2816]) ).
thf(f8442,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_113
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f8436]) ).
thf(f8444,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_4
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f8437]) ).
thf(f8445,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f8440]) ).
thf(f8446,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f8435]) ).
thf(f8448,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_67
| ~ spl0_113
| ~ spl0_206 ),
inference(forward_subsumption_resolution,[],[f8442,f7458]) ).
thf(f8450,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_9 ),
inference(avatar_component_clause,[],[f139]) ).
thf(f8451,plain,
( ~ spl0_9
| spl0_110
| ~ spl0_4
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f8444,f2815,f93,f2805,f139]) ).
thf(f8453,definition,
( spl0_241
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).
thf(f8454,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f8453]) ).
thf(f8455,plain,
( ~ spl0_9
| spl0_241
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f8446,f2815,f8453,f139]) ).
thf(f8457,plain,
( ~ spl0_9
| spl0_67
| ~ spl0_113
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f8448,f6674,f2815,f1884,f139]) ).
thf(f8461,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| spl0_9 ),
inference(constrained_superposition,[],[f8450,f94]) ).
thf(f8467,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| spl0_9 ),
inference(trivial_inequality_removal,[],[f8461]) ).
thf(f8577,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_8
| ~ spl0_18
| ~ spl0_36 ),
inference(constrained_superposition,[],[f1057,f8175]) ).
thf(f8584,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_8
| ~ spl0_18
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f8577]) ).
thf(f8586,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_18
| ~ spl0_36
| ~ spl0_64 ),
inference(constrained_superposition,[],[f8584,f1822]) ).
thf(f8587,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_18
| ~ spl0_36
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f8586]) ).
thf(f8588,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_18
| ~ spl0_36
| spl0_57
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f8587,f3144]) ).
thf(f8589,plain,
( spl0_74
| spl0_83
| ~ spl0_8
| ~ spl0_18
| ~ spl0_36
| spl0_57
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f8588,f1821,f1283,f876,f250,f135,f2228,f2008]) ).
thf(f8598,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f6791,f33]) ).
thf(f8604,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f8598]) ).
thf(f8625,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_2
| ~ spl0_25 ),
inference(constrained_superposition,[],[f3047,f7893]) ).
thf(f8642,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_2
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f8625]) ).
thf(f8677,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_25
| spl0_53 ),
inference(constrained_superposition,[],[f2754,f8351]) ).
thf(f8690,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_25
| spl0_53 ),
inference(trivial_inequality_removal,[],[f8677]) ).
thf(f8710,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_110
| ~ spl0_113 ),
inference(constrained_superposition,[],[f8445,f2806]) ).
thf(f8715,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f30,f2806]) ).
thf(f8716,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f8715]) ).
thf(f8719,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_110
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f8710]) ).
thf(f8722,plain,
( spl0_143
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f8716,f2805,f4233]) ).
thf(f8723,plain,
( $false
| ~ spl0_11
| ~ spl0_110
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f8719,f147]) ).
thf(f8724,plain,
( ~ spl0_11
| ~ spl0_110
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[],[f8723]) ).
thf(f8783,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( ( b @ z @ ( s @ X1 ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f7882,f33]) ).
thf(f8786,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ X1 ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( X0 = X1 ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f8783]) ).
thf(f8837,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_25 ),
inference(extensionality_resolution,[],[f8786,f26]) ).
thf(f8839,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f8786,f33]) ).
thf(f8841,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X1 ) )
= $true ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f8839]) ).
thf(f8846,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_25 ),
inference(extensionality_resolution,[],[f8841,f26]) ).
thf(f8847,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_25 ),
inference(extensionality_resolution,[],[f8841,f26]) ).
thf(f8848,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_23
| ~ spl0_25 ),
inference(constrained_superposition,[],[f385,f8841]) ).
thf(f8849,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_9
| ~ spl0_25 ),
inference(constrained_superposition,[],[f8450,f8841]) ).
thf(f8881,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| spl0_23
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f8848]) ).
thf(f8885,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_9
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f8849]) ).
thf(f9135,plain,
( ( ( s @ z )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_75 ),
inference(avatar_component_clause,[],[f2039]) ).
thf(f9155,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_75 ),
inference(extensionality_resolution,[],[f113,f9135]) ).
thf(f9156,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_75 ),
inference(extensionality_resolution,[],[f113,f9135]) ).
thf(f9157,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_75 ),
inference(extensionality_resolution,[],[f55,f9135]) ).
thf(f9158,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_75 ),
inference(extensionality_resolution,[],[f55,f9135]) ).
thf(f9165,definition,
( spl0_248
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).
thf(f9166,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f9165]) ).
thf(f9168,definition,
( spl0_249
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
thf(f9169,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f9168]) ).
thf(f9170,plain,
( spl0_248
| spl0_249
| spl0_75 ),
inference(avatar_split_clause,[],[f9155,f2039,f9168,f9165]) ).
thf(f9172,definition,
( spl0_250
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).
thf(f9173,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_250 ),
inference(avatar_component_clause,[],[f9172]) ).
thf(f9175,definition,
( spl0_251
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).
thf(f9176,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f9175]) ).
thf(f9177,plain,
( spl0_250
| spl0_251
| spl0_75 ),
inference(avatar_split_clause,[],[f9156,f2039,f9175,f9172]) ).
thf(f9179,definition,
( spl0_252
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_252])],[avatar_definition]) ).
thf(f9180,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_252 ),
inference(avatar_component_clause,[],[f9179]) ).
thf(f9182,definition,
( spl0_253
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).
thf(f9183,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f9182]) ).
thf(f9184,plain,
( spl0_252
| spl0_253
| spl0_75 ),
inference(avatar_split_clause,[],[f9157,f2039,f9182,f9179]) ).
thf(f9186,definition,
( spl0_254
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).
thf(f9187,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f9186]) ).
thf(f9190,definition,
( spl0_255
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).
thf(f9191,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_255 ),
inference(avatar_component_clause,[],[f9190]) ).
thf(f9193,definition,
( spl0_256
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).
thf(f9194,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f9193]) ).
thf(f9195,plain,
( spl0_255
| spl0_256
| spl0_75 ),
inference(avatar_split_clause,[],[f9158,f2039,f9193,f9190]) ).
thf(f9233,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f111,f2040]) ).
thf(f9392,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f9233,f25]) ).
thf(f9433,plain,
( $false
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f9392,f24]) ).
thf(f9434,plain,
~ spl0_75,
inference(avatar_contradiction_clause,[],[f9433]) ).
thf(f9457,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_25
| spl0_75 ),
inference(extensionality_resolution,[],[f8841,f9135]) ).
thf(f9458,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_25
| spl0_75 ),
inference(extensionality_resolution,[],[f8841,f9135]) ).
thf(f9460,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_25
| spl0_75 ),
inference(extensionality_resolution,[],[f8786,f9135]) ).
thf(f9469,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_75 ),
inference(extensionality_resolution,[],[f113,f9135]) ).
thf(f9470,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_75 ),
inference(extensionality_resolution,[],[f113,f9135]) ).
thf(f9471,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_75 ),
inference(extensionality_resolution,[],[f55,f9135]) ).
thf(f9472,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_75 ),
inference(extensionality_resolution,[],[f55,f9135]) ).
thf(f9477,plain,
( spl0_252
| spl0_253
| spl0_75 ),
inference(avatar_split_clause,[],[f9471,f2039,f9182,f9179]) ).
thf(f9478,plain,
( spl0_249
| spl0_248
| spl0_75 ),
inference(avatar_split_clause,[],[f9469,f2039,f9165,f9168]) ).
thf(f9481,plain,
( spl0_251
| spl0_250
| spl0_75 ),
inference(avatar_split_clause,[],[f9470,f2039,f9172,f9175]) ).
thf(f9482,plain,
( spl0_255
| spl0_256
| spl0_75 ),
inference(avatar_split_clause,[],[f9472,f2039,f9193,f9190]) ).
thf(f9564,definition,
( spl0_262
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
thf(f9565,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_262 ),
inference(avatar_component_clause,[],[f9564]) ).
thf(f9568,definition,
( spl0_263
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).
thf(f9569,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f9568]) ).
thf(f9572,definition,
( spl0_264
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).
thf(f9573,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f9572]) ).
thf(f9576,definition,
( spl0_265
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
thf(f9577,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f9576]) ).
thf(f9622,definition,
( spl0_268
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).
thf(f9623,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f9622]) ).
thf(f9625,definition,
( spl0_269
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
thf(f9626,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f9625]) ).
thf(f9715,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_248 ),
inference(constrained_superposition,[],[f107,f9166]) ).
thf(f9717,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_248 ),
inference(constrained_superposition,[],[f8090,f9166]) ).
thf(f9727,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_4
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f9717]) ).
thf(f9730,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f9715]) ).
thf(f9736,definition,
( spl0_270
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).
thf(f9737,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f9736]) ).
thf(f9738,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_72 ),
inference(avatar_component_clause,[],[f1993]) ).
thf(f9739,plain,
( spl0_270
| ~ spl0_72
| ~ spl0_4
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f9727,f9165,f93,f1993,f9736]) ).
thf(f9742,definition,
( spl0_271
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
thf(f9743,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f9742]) ).
thf(f9744,plain,
( ~ spl0_72
| spl0_271
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f9730,f9165,f9742,f1993]) ).
thf(f9754,definition,
( spl0_272
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
thf(f9755,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f9754]) ).
thf(f9757,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_48
| spl0_72 ),
inference(constrained_superposition,[],[f9738,f1054]) ).
thf(f9758,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_4
| spl0_72 ),
inference(constrained_superposition,[],[f9738,f94]) ).
thf(f9760,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_2
| ~ spl0_25
| spl0_72 ),
inference(constrained_superposition,[],[f9738,f8141]) ).
thf(f9763,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_4
| spl0_72 ),
inference(trivial_inequality_removal,[],[f9758]) ).
thf(f9767,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_2
| ~ spl0_25
| spl0_72 ),
inference(trivial_inequality_removal,[],[f9760]) ).
thf(f9768,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_48
| spl0_72 ),
inference(trivial_inequality_removal,[],[f9757]) ).
thf(f9769,plain,
( spl0_110
| ~ spl0_4
| spl0_72 ),
inference(avatar_split_clause,[],[f9763,f1993,f93,f2805]) ).
thf(f9773,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_2
| ~ spl0_25
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f9767,f26]) ).
thf(f9774,plain,
( $false
| ~ spl0_48
| spl0_67
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f9768,f7458]) ).
thf(f9775,plain,
( ~ spl0_48
| spl0_67
| spl0_72 ),
inference(avatar_contradiction_clause,[],[f9774]) ).
thf(f9779,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_2
| ~ spl0_25
| spl0_72
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f9773,f9135]) ).
thf(f9784,plain,
( spl0_110
| spl0_2
| ~ spl0_25
| spl0_72
| spl0_75 ),
inference(avatar_split_clause,[],[f9779,f2039,f1993,f820,f73,f2805]) ).
thf(f9787,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f30,f1994]) ).
thf(f9790,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f9787]) ).
thf(f9868,definition,
( spl0_275
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
thf(f9869,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_275 ),
inference(avatar_component_clause,[],[f9868]) ).
thf(f9872,definition,
( spl0_276
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
thf(f9873,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f9872]) ).
thf(f9889,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_275 ),
inference(constrained_superposition,[],[f9869,f35]) ).
thf(f9891,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f9889]) ).
thf(f9918,definition,
( spl0_277
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).
thf(f9919,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f9918]) ).
thf(f9921,definition,
( spl0_278
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
thf(f9922,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| spl0_278 ),
inference(avatar_component_clause,[],[f9921]) ).
thf(f9925,definition,
( spl0_279
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).
thf(f9926,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f9925]) ).
thf(f9934,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_250 ),
inference(constrained_superposition,[],[f9790,f9173]) ).
thf(f9936,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_250 ),
inference(constrained_superposition,[],[f107,f9173]) ).
thf(f9937,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_206
| ~ spl0_250 ),
inference(constrained_superposition,[],[f6675,f9173]) ).
thf(f9945,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_206
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f9937]) ).
thf(f9948,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f9936]) ).
thf(f9953,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_72
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f9934]) ).
thf(f9954,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_67
| ~ spl0_206
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[],[f9945,f7458]) ).
thf(f9958,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_276 ),
inference(avatar_component_clause,[],[f9872]) ).
thf(f9959,plain,
( spl0_241
| ~ spl0_276
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f9948,f9172,f9872,f8453]) ).
thf(f9964,plain,
( ~ spl0_276
| ~ spl0_72
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f9953,f9172,f1993,f9872]) ).
thf(f9965,plain,
( ~ spl0_276
| spl0_67
| ~ spl0_206
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f9954,f9172,f6674,f1884,f9872]) ).
thf(f9984,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_111
| ~ spl0_251 ),
inference(constrained_superposition,[],[f2809,f9176]) ).
thf(f9993,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_111
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f9984]) ).
thf(f10009,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_111
| ~ spl0_251 ),
inference(constrained_superposition,[],[f9993,f33]) ).
thf(f10011,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_111
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f10009]) ).
thf(f10013,plain,
( spl0_270
| ~ spl0_111
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f10011,f9175,f2808,f9736]) ).
thf(f10039,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_11 ),
inference(avatar_component_clause,[],[f146]) ).
thf(f10041,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_3
| ~ spl0_30
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f8214,f26]) ).
thf(f10046,plain,
( spl0_11
| ~ spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f8467,f139,f93,f146]) ).
thf(f10050,definition,
( spl0_285
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
thf(f10051,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f10050]) ).
thf(f10053,definition,
( spl0_286
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).
thf(f10054,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_286 ),
inference(avatar_component_clause,[],[f10053]) ).
thf(f10057,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_2
| spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f8881,f3047]) ).
thf(f10068,plain,
( spl0_151
| spl0_285
| spl0_11
| ~ spl0_25
| spl0_75 ),
inference(avatar_split_clause,[],[f9457,f2039,f820,f146,f10050,f5054]) ).
thf(f10069,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_3
| spl0_23
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f8233,f26]) ).
thf(f10077,plain,
( spl0_11
| spl0_6
| ~ spl0_5
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f8604,f876,f96,f99,f146]) ).
thf(f10089,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_3
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f8166,f1078]) ).
thf(f10094,plain,
( ~ spl0_13
| spl0_285
| spl0_151
| ~ spl0_25
| spl0_75 ),
inference(avatar_split_clause,[],[f9460,f2039,f820,f5054,f10050,f167]) ).
thf(f10112,plain,
( spl0_11
| spl0_3
| ~ spl0_30
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f10041,f876,f837,f77,f146]) ).
thf(f10124,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_2
| spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f10057,f26]) ).
thf(f10126,plain,
( spl0_22
| spl0_11
| spl0_3
| spl0_23
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f10069,f837,f384,f77,f146,f281]) ).
thf(f10135,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_3
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f10089,f26]) ).
thf(f10148,plain,
( spl0_11
| spl0_2
| spl0_23
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f10124,f820,f384,f73,f146]) ).
thf(f10158,plain,
( spl0_11
| spl0_3
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f10135,f827,f77,f146]) ).
thf(f10190,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_240 ),
inference(constrained_superposition,[],[f30,f8433]) ).
thf(f10193,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f10190]) ).
thf(f10236,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_272 ),
inference(constrained_superposition,[],[f112,f9755]) ).
thf(f10387,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f10236,f25]) ).
thf(f10427,plain,
( $false
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f10387,f24]) ).
thf(f10428,plain,
~ spl0_272,
inference(avatar_contradiction_clause,[],[f10427]) ).
thf(f10456,definition,
( spl0_301
<=> ! [X1: $i] :
( ( ( r @ z @ X1 )
= $true )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( z = X1 )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).
thf(f10457,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ z @ X1 )
= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_301 ),
inference(avatar_component_clause,[],[f10456]) ).
thf(f10459,plain,
( spl0_301
| spl0_2
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f8642,f820,f73,f10456]) ).
thf(f10519,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_4
| spl0_276 ),
inference(constrained_superposition,[],[f9958,f94]) ).
thf(f10520,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_25
| spl0_276 ),
inference(constrained_superposition,[],[f9958,f8841]) ).
thf(f10525,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_25
| spl0_276 ),
inference(trivial_inequality_removal,[],[f10520]) ).
thf(f10527,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_4
| spl0_276 ),
inference(trivial_inequality_removal,[],[f10519]) ).
thf(f10531,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_25
| spl0_276 ),
inference(forward_subsumption_resolution,[],[f10525,f26]) ).
thf(f10534,plain,
( spl0_270
| ~ spl0_4
| spl0_276 ),
inference(avatar_split_clause,[],[f10527,f9872,f93,f9736]) ).
thf(f10538,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| spl0_2
| ~ spl0_25
| spl0_276 ),
inference(forward_subsumption_resolution,[],[f10531,f3047]) ).
thf(f10542,plain,
( spl0_270
| spl0_2
| ~ spl0_25
| spl0_276 ),
inference(avatar_split_clause,[],[f10538,f9872,f820,f73,f9736]) ).
thf(f10545,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_110 ),
inference(constrained_superposition,[],[f9790,f2806]) ).
thf(f10554,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_72
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f10545]) ).
thf(f10635,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_52
| ~ spl0_251 ),
inference(constrained_superposition,[],[f3781,f9176]) ).
thf(f10645,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_52
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f10635]) ).
thf(f10655,plain,
( spl0_76
| spl0_279
| ~ spl0_52
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f10645,f9175,f1265,f9925,f2068]) ).
thf(f10664,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f2703]) ).
thf(f10670,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f107,f10664]) ).
thf(f10678,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f10670]) ).
thf(f10686,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_72
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f10678,f1994]) ).
thf(f10690,plain,
( $false
| ~ spl0_72
| ~ spl0_97
| spl0_210 ),
inference(forward_subsumption_resolution,[],[f10686,f7635]) ).
thf(f10691,plain,
( ~ spl0_72
| ~ spl0_97
| spl0_210 ),
inference(avatar_contradiction_clause,[],[f10690]) ).
thf(f10698,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_97 ),
inference(constrained_superposition,[],[f2704,f113]) ).
thf(f10699,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_25
| spl0_97 ),
inference(constrained_superposition,[],[f2704,f8841]) ).
thf(f10702,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_97 ),
inference(trivial_inequality_removal,[],[f10698]) ).
thf(f10703,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| spl0_97 ),
inference(trivial_inequality_removal,[],[f10699]) ).
thf(f10704,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_97 ),
inference(forward_subsumption_resolution,[],[f10702,f26]) ).
thf(f10705,plain,
( spl0_229
| spl0_97 ),
inference(avatar_split_clause,[],[f10704,f2703,f7456]) ).
thf(f10708,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_227
| ~ spl0_229 ),
inference(constrained_superposition,[],[f7119,f7457]) ).
thf(f10725,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_227
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f10708]) ).
thf(f10734,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f30,f2069]) ).
thf(f10738,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f10734]) ).
thf(f10743,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_227
| ~ spl0_229 ),
inference(constrained_superposition,[],[f10725,f55]) ).
thf(f10748,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_227
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f10743]) ).
thf(f10753,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_227
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f10748,f26]) ).
thf(f10778,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_9
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f8885,f26]) ).
thf(f10779,plain,
( ~ spl0_2
| ~ spl0_50
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f7658,f7643,f1258,f73]) ).
thf(f10780,plain,
( spl0_113
| ~ spl0_227
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f10753,f7456,f7118,f2815]) ).
thf(f10786,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_50
| spl0_210 ),
inference(forward_subsumption_resolution,[],[f6393,f7635]) ).
thf(f10795,plain,
( spl0_2
| spl0_4
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f8846,f820,f93,f73]) ).
thf(f10800,plain,
( ~ spl0_2
| ~ spl0_72
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f10554,f2805,f1993,f73]) ).
thf(f10830,plain,
( spl0_2
| spl0_11
| spl0_9
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f10778,f820,f139,f146,f73]) ).
thf(f10835,plain,
( ~ spl0_2
| ~ spl0_50
| spl0_210 ),
inference(avatar_split_clause,[],[f10786,f6692,f1258,f73]) ).
thf(f10837,definition,
( spl0_317
<=> ! [X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ z @ X1 )
= $true )
| ( z = X1 )
| ( ( r @ X1 @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
thf(f10838,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( r @ z @ X1 )
= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f10837]) ).
thf(f10853,definition,
( spl0_319
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_319])],[avatar_definition]) ).
thf(f10854,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f10853]) ).
thf(f10855,plain,
( spl0_319
| spl0_2
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f8847,f820,f73,f10853]) ).
thf(f10857,plain,
( ~ spl0_5
| spl0_319
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f8837,f820,f10853,f96]) ).
thf(f10858,plain,
( spl0_50
| spl0_6
| ~ spl0_13
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f7812,f2213,f167,f99,f1258]) ).
thf(f10860,plain,
( spl0_50
| spl0_214 ),
inference(avatar_split_clause,[],[f6800,f6710,f1258]) ).
thf(f10862,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_25
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f8690,f26]) ).
thf(f10868,definition,
( spl0_321
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_321])],[avatar_definition]) ).
thf(f10869,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_321 ),
inference(avatar_component_clause,[],[f10868]) ).
thf(f10871,definition,
( spl0_322
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).
thf(f10872,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f10871]) ).
thf(f10890,plain,
( spl0_110
| spl0_83
| spl0_50
| ~ spl0_25
| spl0_97 ),
inference(avatar_split_clause,[],[f10703,f2703,f820,f1258,f2228,f2805]) ).
thf(f10896,plain,
( spl0_83
| spl0_11
| spl0_50
| ~ spl0_25
| spl0_53 ),
inference(avatar_split_clause,[],[f10862,f1268,f820,f1258,f146,f2228]) ).
thf(f10903,definition,
( spl0_328
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).
thf(f10904,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_328 ),
inference(avatar_component_clause,[],[f10903]) ).
thf(f10906,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f30,f74]) ).
thf(f10907,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f10906]) ).
thf(f10938,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_57 ),
inference(constrained_superposition,[],[f10907,f1284]) ).
thf(f10949,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f10938]) ).
thf(f10950,plain,
( $false
| ~ spl0_2
| ~ spl0_57
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f10949,f1822]) ).
thf(f10951,plain,
( ~ spl0_2
| ~ spl0_57
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f10950]) ).
thf(f10954,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| spl0_2
| ~ spl0_25 ),
inference(constrained_superposition,[],[f3047,f7892]) ).
thf(f10955,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_2
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f10954]) ).
thf(f10957,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_2
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f10955,f26]) ).
thf(f10958,plain,
( spl0_317
| spl0_2
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f10957,f820,f73,f10837]) ).
thf(f10969,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_328 ),
inference(constrained_superposition,[],[f10904,f33]) ).
thf(f10971,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_328 ),
inference(trivial_inequality_removal,[],[f10969]) ).
thf(f11000,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_206
| ~ spl0_285 ),
inference(constrained_superposition,[],[f6675,f10051]) ).
thf(f11002,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f30,f10051]) ).
thf(f11004,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_206
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f11000]) ).
thf(f11006,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f11002]) ).
thf(f11015,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f30,f10664]) ).
thf(f11021,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f11015]) ).
thf(f11022,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_276 ),
inference(constrained_superposition,[],[f30,f9873]) ).
thf(f11023,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f11022]) ).
thf(f11067,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_110 ),
inference(constrained_superposition,[],[f10738,f2806]) ).
thf(f11076,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_76
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f11067]) ).
thf(f11083,plain,
( $false
| ~ spl0_11
| ~ spl0_76
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f11076,f147]) ).
thf(f11084,plain,
( ~ spl0_11
| ~ spl0_76
| ~ spl0_110 ),
inference(avatar_contradiction_clause,[],[f11083]) ).
thf(f11128,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_110 ),
inference(constrained_superposition,[],[f11021,f2806]) ).
thf(f11141,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f11128]) ).
thf(f11146,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_50 ),
inference(avatar_component_clause,[],[f1258]) ).
thf(f11152,plain,
( ~ spl0_50
| ~ spl0_97
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f11141,f2805,f2703,f1258]) ).
thf(f11162,definition,
( spl0_331
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
thf(f11163,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f11162]) ).
thf(f11166,definition,
( spl0_332
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition]) ).
thf(f11167,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f11166]) ).
thf(f11168,plain,
( spl0_332
| spl0_268
| spl0_275 ),
inference(avatar_split_clause,[],[f9891,f9868,f9622,f11166]) ).
thf(f11170,definition,
( spl0_333
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_333])],[avatar_definition]) ).
thf(f11171,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_333 ),
inference(avatar_component_clause,[],[f11170]) ).
thf(f11174,definition,
( spl0_334
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_334])],[avatar_definition]) ).
thf(f11175,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_334 ),
inference(avatar_component_clause,[],[f11174]) ).
thf(f11178,plain,
( spl0_110
| spl0_328 ),
inference(avatar_split_clause,[],[f10971,f10903,f2805]) ).
thf(f11184,definition,
( spl0_335
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).
thf(f11185,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_335 ),
inference(avatar_component_clause,[],[f11184]) ).
thf(f11191,definition,
( spl0_336
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_336])],[avatar_definition]) ).
thf(f11192,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_336 ),
inference(avatar_component_clause,[],[f11191]) ).
thf(f11210,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f107,f2069]) ).
thf(f11213,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f30,f2069]) ).
thf(f11214,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f11213]) ).
thf(f11216,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f11210]) ).
thf(f11220,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_113
| ~ spl0_143 ),
inference(constrained_superposition,[],[f4234,f2816]) ).
thf(f11230,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_113
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f11220]) ).
thf(f11231,plain,
( $false
| ~ spl0_8
| ~ spl0_113
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f11230,f136]) ).
thf(f11232,plain,
( ~ spl0_8
| ~ spl0_113
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f11231]) ).
thf(f11243,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f30,f9737]) ).
thf(f11247,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f11243]) ).
thf(f11248,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_93
| ~ spl0_335 ),
inference(constrained_superposition,[],[f3713,f11185]) ).
thf(f11253,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_93
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f11248]) ).
thf(f11255,definition,
( spl0_337
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_337])],[avatar_definition]) ).
thf(f11256,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_337 ),
inference(avatar_component_clause,[],[f11255]) ).
thf(f11258,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_93
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f11253,f26]) ).
thf(f11286,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_332 ),
inference(constrained_superposition,[],[f1057,f11167]) ).
thf(f11294,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f11286]) ).
thf(f11296,plain,
( $false
| ~ spl0_8
| ~ spl0_332
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f11294,f11185]) ).
thf(f11297,plain,
( ~ spl0_8
| ~ spl0_332
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f11296]) ).
thf(f11304,definition,
( spl0_338
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_338])],[avatar_definition]) ).
thf(f11305,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_338 ),
inference(avatar_component_clause,[],[f11304]) ).
thf(f11320,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f11214,f54]) ).
thf(f11339,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f11320]) ).
thf(f11350,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_93
| ~ spl0_335 ),
inference(constrained_superposition,[],[f242,f11258]) ).
thf(f11356,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X2 @ X0 )
!= $true ) )
| ~ spl0_93
| ~ spl0_335 ),
inference(constrained_superposition,[],[f29,f11258]) ).
thf(f11359,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_93
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f11350]) ).
thf(f11365,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_93
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f11356]) ).
thf(f11366,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| spl0_53
| ~ spl0_93
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f11359,f2754]) ).
thf(f11368,definition,
( spl0_339
<=> ! [X2: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).
thf(f11369,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X2 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f11368]) ).
thf(f11373,plain,
( ~ spl0_275
| spl0_277
| spl0_53
| ~ spl0_93
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f11366,f11184,f2688,f1268,f9918,f9868]) ).
thf(f11399,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f1990,f34]) ).
thf(f11403,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f11399]) ).
thf(f11410,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_67
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f11403,f7458]) ).
thf(f11413,plain,
( ~ spl0_214
| spl0_67
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f11410,f1989,f1884,f6710]) ).
thf(f11417,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_285
| ~ spl0_301 ),
inference(constrained_superposition,[],[f11006,f10457]) ).
thf(f11432,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_285
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f11417]) ).
thf(f11452,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_270
| ~ spl0_338 ),
inference(constrained_superposition,[],[f11247,f11305]) ).
thf(f11459,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_270
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f11452]) ).
thf(f11471,plain,
( $false
| ~ spl0_8
| ~ spl0_270
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f11459,f136]) ).
thf(f11472,plain,
( ~ spl0_8
| ~ spl0_270
| ~ spl0_338 ),
inference(avatar_contradiction_clause,[],[f11471]) ).
thf(f11485,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_112
| ~ spl0_251 ),
inference(constrained_superposition,[],[f2813,f9176]) ).
thf(f11496,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f11485]) ).
thf(f11508,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_112
| ~ spl0_251 ),
inference(constrained_superposition,[],[f11496,f28]) ).
thf(f11512,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_112
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f11508]) ).
thf(f11516,plain,
( spl0_338
| spl0_334
| ~ spl0_112
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f11512,f9175,f2812,f11174,f11304]) ).
thf(f11607,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f107,f9577]) ).
thf(f11608,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_206
| ~ spl0_265 ),
inference(constrained_superposition,[],[f6675,f9577]) ).
thf(f11610,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f30,f9577]) ).
thf(f11611,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f11607]) ).
thf(f11612,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f11610]) ).
thf(f11615,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_206
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f11608]) ).
thf(f11647,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f11612,f54]) ).
thf(f11664,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f11647]) ).
thf(f11689,definition,
( spl0_345
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_345])],[avatar_definition]) ).
thf(f11690,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_345 ),
inference(avatar_component_clause,[],[f11689]) ).
thf(f11730,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_139
| ~ spl0_255 ),
inference(constrained_superposition,[],[f4208,f9191]) ).
thf(f11734,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f4208,f112]) ).
thf(f11736,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_139
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f11730]) ).
thf(f11741,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f11734]) ).
thf(f11744,plain,
( spl0_264
| ~ spl0_139
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f11736,f9190,f4207,f9572]) ).
thf(f11745,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_53
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f11741,f2754]) ).
thf(f11750,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_53
| ~ spl0_139
| ~ spl0_255 ),
inference(constrained_superposition,[],[f11745,f9191]) ).
thf(f11761,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_53
| ~ spl0_139
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f11750]) ).
thf(f11765,plain,
( ~ spl0_262
| spl0_53
| ~ spl0_139
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f11761,f9190,f4207,f1268,f9564]) ).
thf(f11767,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_331 ),
inference(constrained_superposition,[],[f107,f11163]) ).
thf(f11775,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f11767]) ).
thf(f11777,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f9573,f33]) ).
thf(f11784,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f11777]) ).
thf(f11788,plain,
( ~ spl0_214
| spl0_269
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f11784,f9572,f9625,f6710]) ).
thf(f11795,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_251
| ~ spl0_339 ),
inference(constrained_superposition,[],[f11369,f9176]) ).
thf(f11802,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_251
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f11795]) ).
thf(f11809,plain,
( $false
| ~ spl0_229
| ~ spl0_251
| ~ spl0_339 ),
inference(forward_subsumption_resolution,[],[f11802,f7457]) ).
thf(f11810,plain,
( ~ spl0_229
| ~ spl0_251
| ~ spl0_339 ),
inference(avatar_contradiction_clause,[],[f11809]) ).
thf(f11813,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_279 ),
inference(constrained_superposition,[],[f9926,f111]) ).
thf(f11814,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_93
| ~ spl0_279
| ~ spl0_335 ),
inference(constrained_superposition,[],[f9926,f11258]) ).
thf(f11826,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_93
| ~ spl0_279
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f11814]) ).
thf(f11827,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f11813]) ).
thf(f11830,definition,
( spl0_346
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).
thf(f11831,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_346 ),
inference(avatar_component_clause,[],[f11830]) ).
thf(f11832,plain,
( spl0_332
| ~ spl0_346
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f11827,f9925,f11830,f11166]) ).
thf(f11835,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_346 ),
inference(constrained_superposition,[],[f11831,f35]) ).
thf(f11839,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_346 ),
inference(trivial_inequality_removal,[],[f11835]) ).
thf(f11841,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_93
| ~ spl0_279
| ~ spl0_335 ),
inference(constrained_superposition,[],[f11826,f55]) ).
thf(f11846,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_93
| ~ spl0_279
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f11841]) ).
thf(f11847,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f5033]) ).
thf(f11850,plain,
( spl0_22
| spl0_148
| ~ spl0_93
| ~ spl0_279
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f11846,f11184,f9925,f2688,f5033,f281]) ).
thf(f11852,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_148
| ~ spl0_240 ),
inference(constrained_superposition,[],[f10193,f11847]) ).
thf(f11854,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_148
| ~ spl0_206 ),
inference(constrained_superposition,[],[f6675,f11847]) ).
thf(f11857,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_148
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f11852]) ).
thf(f11860,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_148
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f11854]) ).
thf(f11863,plain,
( $false
| ~ spl0_57
| ~ spl0_148
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f11857,f1284]) ).
thf(f11864,plain,
( ~ spl0_57
| ~ spl0_148
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[],[f11863]) ).
thf(f11867,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_67
| ~ spl0_148
| ~ spl0_206 ),
inference(forward_subsumption_resolution,[],[f11860,f7458]) ).
thf(f11870,plain,
( $false
| ~ spl0_57
| spl0_67
| ~ spl0_148
| ~ spl0_206 ),
inference(forward_subsumption_resolution,[],[f11867,f1284]) ).
thf(f11871,plain,
( ~ spl0_57
| spl0_67
| ~ spl0_148
| ~ spl0_206 ),
inference(avatar_contradiction_clause,[],[f11870]) ).
thf(f11874,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(constrained_superposition,[],[f5034,f113]) ).
thf(f11875,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_25
| spl0_148 ),
inference(constrained_superposition,[],[f5034,f8841]) ).
thf(f11877,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| spl0_148 ),
inference(trivial_inequality_removal,[],[f11875]) ).
thf(f11879,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f11874]) ).
thf(f11880,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(forward_subsumption_resolution,[],[f11879,f26]) ).
thf(f11887,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true != $true ) )
| spl0_148 ),
inference(constrained_superposition,[],[f29,f11880]) ).
thf(f11890,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f11887]) ).
thf(f11896,definition,
( spl0_347
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
thf(f11897,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) )
| ~ spl0_347 ),
inference(avatar_component_clause,[],[f11896]) ).
thf(f11900,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_254 ),
inference(constrained_superposition,[],[f9187,f33]) ).
thf(f11903,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_148
| ~ spl0_254 ),
inference(constrained_superposition,[],[f9187,f11880]) ).
thf(f11904,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_251
| ~ spl0_254 ),
inference(constrained_superposition,[],[f9187,f9176]) ).
thf(f11908,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_251
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f11904]) ).
thf(f11910,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f11903]) ).
thf(f11911,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f11900]) ).
thf(f11914,definition,
( spl0_348
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_348])],[avatar_definition]) ).
thf(f11915,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_348 ),
inference(avatar_component_clause,[],[f11914]) ).
thf(f11916,plain,
( spl0_277
| ~ spl0_348
| ~ spl0_251
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f11908,f9186,f9175,f11914,f9918]) ).
thf(f11917,plain,
( ~ spl0_55
| spl0_139
| spl0_148
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f11910,f9186,f5033,f4207,f1275]) ).
thf(f11918,plain,
( ~ spl0_5
| spl0_110
| spl0_6
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f11911,f9186,f99,f2805,f96]) ).
thf(f11920,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_322 ),
inference(constrained_superposition,[],[f10872,f33]) ).
thf(f11928,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f11920]) ).
thf(f11932,definition,
( spl0_349
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_349])],[avatar_definition]) ).
thf(f11933,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_349 ),
inference(avatar_component_clause,[],[f11932]) ).
thf(f11934,plain,
( spl0_349
| spl0_269
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f11928,f10871,f9625,f11932]) ).
thf(f11944,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true ) )
| spl0_148 ),
inference(constrained_superposition,[],[f11890,f33]) ).
thf(f11949,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_148 ),
inference(constrained_superposition,[],[f11890,f112]) ).
thf(f11951,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f11944]) ).
thf(f11953,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f11949]) ).
thf(f11972,definition,
( spl0_350
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_350])],[avatar_definition]) ).
thf(f11973,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_350 ),
inference(avatar_component_clause,[],[f11972]) ).
thf(f11976,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_350 ),
inference(constrained_superposition,[],[f11973,f33]) ).
thf(f11981,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f11976]) ).
thf(f12008,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_93
| ~ spl0_249
| ~ spl0_335 ),
inference(constrained_superposition,[],[f11365,f9169]) ).
thf(f12009,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_93
| ~ spl0_335 ),
inference(constrained_superposition,[],[f11365,f112]) ).
thf(f12010,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_93
| ~ spl0_249
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f12008]) ).
thf(f12014,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) )
| ~ spl0_93
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f12009]) ).
thf(f12016,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_93
| ~ spl0_229
| ~ spl0_249
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f12010,f7457]) ).
thf(f12017,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) )
| ~ spl0_82
| ~ spl0_93
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f12014,f7067]) ).
thf(f12018,plain,
( spl0_69
| ~ spl0_93
| ~ spl0_229
| ~ spl0_249
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f12016,f11184,f9168,f7456,f2688,f1981]) ).
thf(f12019,plain,
( spl0_338
| spl0_18
| ~ spl0_82
| ~ spl0_93
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f12017,f11184,f2688,f2213,f250,f11304]) ).
thf(f12054,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_36 ),
inference(avatar_component_clause,[],[f876]) ).
thf(f12056,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_285
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f11432,f26]) ).
thf(f12074,definition,
( spl0_354
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_354])],[avatar_definition]) ).
thf(f12075,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_354 ),
inference(avatar_component_clause,[],[f12074]) ).
thf(f12076,plain,
( spl0_354
| ~ spl0_9
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f11611,f9576,f139,f12074]) ).
thf(f12079,definition,
( spl0_355
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_355])],[avatar_definition]) ).
thf(f12080,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_355 ),
inference(avatar_component_clause,[],[f12079]) ).
thf(f12081,plain,
( spl0_355
| spl0_11
| spl0_151
| ~ spl0_25
| spl0_75 ),
inference(avatar_split_clause,[],[f9458,f2039,f820,f5054,f146,f12079]) ).
thf(f12084,definition,
( spl0_356
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_356])],[avatar_definition]) ).
thf(f12085,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_356 ),
inference(avatar_component_clause,[],[f12084]) ).
thf(f12093,plain,
( spl0_74
| spl0_113
| spl0_346 ),
inference(avatar_split_clause,[],[f11839,f11830,f2815,f2008]) ).
thf(f12096,plain,
( spl0_241
| ~ spl0_23
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f11339,f2068,f384,f8453]) ).
thf(f12103,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_82
| spl0_148 ),
inference(forward_subsumption_resolution,[],[f11953,f7067]) ).
thf(f12105,plain,
( spl0_36
| ~ spl0_72
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f11216,f2068,f1993,f876]) ).
thf(f12109,plain,
( ~ spl0_23
| spl0_354
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f11664,f9576,f12074,f384]) ).
thf(f12111,definition,
( spl0_358
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_358])],[avatar_definition]) ).
thf(f12112,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_358 ),
inference(avatar_component_clause,[],[f12111]) ).
thf(f12114,plain,
( ~ spl0_9
| spl0_358
| ~ spl0_206
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f11004,f10050,f6674,f12111,f139]) ).
thf(f12115,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_263
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f11775,f9569]) ).
thf(f12118,plain,
( ~ spl0_23
| spl0_333
| spl0_151
| ~ spl0_285
| ~ spl0_301 ),
inference(avatar_split_clause,[],[f12056,f10456,f10050,f5054,f11170,f384]) ).
thf(f12130,plain,
( spl0_18
| spl0_113
| ~ spl0_82
| spl0_148 ),
inference(avatar_split_clause,[],[f12103,f5033,f2213,f2815,f250]) ).
thf(f12134,plain,
( spl0_36
| ~ spl0_263
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f12115,f11162,f9568,f876]) ).
thf(f12144,plain,
( spl0_6
| ~ spl0_214
| spl0_110
| spl0_148 ),
inference(avatar_split_clause,[],[f11951,f5033,f2805,f6710,f99]) ).
thf(f12145,plain,
( spl0_50
| spl0_83
| spl0_110
| ~ spl0_25
| spl0_148 ),
inference(avatar_split_clause,[],[f11877,f5033,f820,f2805,f2228,f1258]) ).
thf(f12149,plain,
( ~ spl0_9
| spl0_345
| ~ spl0_206
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f11615,f9576,f6674,f11689,f139]) ).
thf(f12169,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f30,f140]) ).
thf(f12170,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f12169]) ).
thf(f12208,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f48,f6693]) ).
thf(f12219,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f12208]) ).
thf(f12271,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_268 ),
inference(constrained_superposition,[],[f111,f9623]) ).
thf(f12355,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f12271,f25]) ).
thf(f12374,plain,
( $false
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f12355,f24]) ).
thf(f12375,plain,
~ spl0_268,
inference(avatar_contradiction_clause,[],[f12374]) ).
thf(f12399,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_93
| ~ spl0_345 ),
inference(constrained_superposition,[],[f3713,f11690]) ).
thf(f12402,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_93
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f12399]) ).
thf(f12403,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_93
| ~ spl0_345 ),
inference(forward_subsumption_resolution,[],[f12402,f26]) ).
thf(f12404,plain,
( spl0_255
| ~ spl0_93
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f12403,f11689,f2688,f9190]) ).
thf(f12431,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_200
| ~ spl0_210 ),
inference(constrained_superposition,[],[f6369,f6693]) ).
thf(f12437,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_200
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f12431]) ).
thf(f12439,plain,
( ~ spl0_15
| ~ spl0_200
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f12437,f6692,f6368,f197]) ).
thf(f12440,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_93
| ~ spl0_335 ),
inference(constrained_superposition,[],[f3713,f11185]) ).
thf(f12442,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_93
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f12440]) ).
thf(f12444,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_93
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f12442,f26]) ).
thf(f12447,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_97
| ~ spl0_206 ),
inference(constrained_superposition,[],[f6675,f10664]) ).
thf(f12449,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f30,f10664]) ).
thf(f12450,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f12449]) ).
thf(f12454,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_97
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f12447]) ).
thf(f12456,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_239
| ~ spl0_354 ),
inference(constrained_superposition,[],[f8197,f12075]) ).
thf(f12466,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_239
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f12456]) ).
thf(f12475,plain,
( spl0_345
| ~ spl0_239
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f12466,f12074,f8196,f11689]) ).
thf(f12484,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_269 ),
inference(constrained_superposition,[],[f30,f9626]) ).
thf(f12486,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f12484]) ).
thf(f12509,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_143
| ~ spl0_148 ),
inference(constrained_superposition,[],[f4234,f11847]) ).
thf(f12522,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_143
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f12509]) ).
thf(f12528,plain,
( $false
| ~ spl0_64
| ~ spl0_143
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f12522,f1822]) ).
thf(f12529,plain,
( ~ spl0_64
| ~ spl0_143
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f12528]) ).
thf(f12544,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_271
| ~ spl0_277 ),
inference(constrained_superposition,[],[f9919,f9743]) ).
thf(f12555,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_271
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f12544]) ).
thf(f12565,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_331 ),
inference(constrained_superposition,[],[f1057,f11163]) ).
thf(f12575,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f12565]) ).
thf(f12577,plain,
( $false
| ~ spl0_8
| ~ spl0_331
| ~ spl0_345 ),
inference(forward_subsumption_resolution,[],[f12575,f11690]) ).
thf(f12578,plain,
( ~ spl0_8
| ~ spl0_331
| ~ spl0_345 ),
inference(avatar_contradiction_clause,[],[f12577]) ).
thf(f12609,definition,
( spl0_363
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_363])],[avatar_definition]) ).
thf(f12610,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_363 ),
inference(avatar_component_clause,[],[f12609]) ).
thf(f12613,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_93
| ~ spl0_256 ),
inference(constrained_superposition,[],[f2689,f9194]) ).
thf(f12617,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_256 ),
inference(constrained_superposition,[],[f30,f9194]) ).
thf(f12618,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f12617]) ).
thf(f12621,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_93
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f12613]) ).
thf(f12629,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_253
| ~ spl0_269 ),
inference(constrained_superposition,[],[f12486,f9183]) ).
thf(f12643,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_253
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f12629]) ).
thf(f12647,plain,
( $false
| ~ spl0_64
| ~ spl0_253
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f12643,f1822]) ).
thf(f12648,plain,
( ~ spl0_64
| ~ spl0_253
| ~ spl0_269 ),
inference(avatar_contradiction_clause,[],[f12647]) ).
thf(f12649,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_363 ),
inference(constrained_superposition,[],[f12610,f53]) ).
thf(f12653,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_363 ),
inference(trivial_inequality_removal,[],[f12649]) ).
thf(f12656,plain,
( spl0_263
| spl0_363 ),
inference(avatar_split_clause,[],[f12653,f12609,f9568]) ).
thf(f12669,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_331 ),
inference(constrained_superposition,[],[f12170,f11163]) ).
thf(f12678,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f12669]) ).
thf(f12682,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_25
| ~ spl0_331 ),
inference(constrained_superposition,[],[f12678,f8841]) ).
thf(f12685,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_25
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f12682]) ).
thf(f12687,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_2
| ~ spl0_9
| ~ spl0_25
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f12685,f3047]) ).
thf(f12689,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_2
| ~ spl0_9
| ~ spl0_25
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f12687,f26]) ).
thf(f12691,plain,
( spl0_269
| spl0_2
| ~ spl0_9
| ~ spl0_25
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f12689,f11162,f820,f139,f73,f9625]) ).
thf(f12713,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_240 ),
inference(constrained_superposition,[],[f12450,f8433]) ).
thf(f12727,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f12713]) ).
thf(f12744,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_231 ),
inference(avatar_component_clause,[],[f7643]) ).
thf(f12759,plain,
( ~ spl0_231
| ~ spl0_97
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f12727,f8432,f2703,f7643]) ).
thf(f12787,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f251,f111]) ).
thf(f12792,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f12787]) ).
thf(f12793,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_248
| ~ spl0_276 ),
inference(constrained_superposition,[],[f11023,f9166]) ).
thf(f12796,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_206
| ~ spl0_248 ),
inference(constrained_superposition,[],[f6675,f9166]) ).
thf(f12798,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_248 ),
inference(constrained_superposition,[],[f30,f9166]) ).
thf(f12799,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_206
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f12796]) ).
thf(f12802,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f12798]) ).
thf(f12804,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_248
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f12793]) ).
thf(f12805,plain,
( $false
| ~ spl0_72
| ~ spl0_248
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f12804,f1994]) ).
thf(f12806,plain,
( ~ spl0_72
| ~ spl0_248
| ~ spl0_276 ),
inference(avatar_contradiction_clause,[],[f12805]) ).
thf(f12815,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_271
| ~ spl0_277 ),
inference(constrained_superposition,[],[f12555,f112]) ).
thf(f12818,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_271
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f12815]) ).
thf(f12823,plain,
( spl0_338
| ~ spl0_19
| ~ spl0_271
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f12818,f9918,f9742,f254,f11304]) ).
thf(f12892,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_248
| ~ spl0_301 ),
inference(constrained_superposition,[],[f12802,f10457]) ).
thf(f12896,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_248
| ~ spl0_270 ),
inference(constrained_superposition,[],[f12802,f9737]) ).
thf(f12904,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_248
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f12896]) ).
thf(f12908,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_248
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f12892]) ).
thf(f12914,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_110 ),
inference(avatar_component_clause,[],[f2805]) ).
thf(f12921,plain,
( ~ spl0_110
| ~ spl0_248
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f12904,f9736,f9165,f2805]) ).
thf(f12933,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_18
| ~ spl0_251 ),
inference(constrained_superposition,[],[f12792,f9176]) ).
thf(f12934,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_93
| ~ spl0_335 ),
inference(constrained_superposition,[],[f12792,f12444]) ).
thf(f12943,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_18
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f12933]) ).
thf(f12947,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_18
| ~ spl0_93
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f12934]) ).
thf(f12949,plain,
( ~ spl0_275
| spl0_76
| ~ spl0_18
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f12943,f9175,f250,f2068,f9868]) ).
thf(f12950,plain,
( ~ spl0_275
| spl0_56
| ~ spl0_18
| ~ spl0_93
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f12947,f11184,f2688,f250,f1279,f9868]) ).
thf(f12952,plain,
( spl0_64
| ~ spl0_15
| spl0_14
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f12219,f6692,f194,f197,f1821]) ).
thf(f12953,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_72
| ~ spl0_97
| ~ spl0_206 ),
inference(forward_subsumption_resolution,[],[f12454,f1994]) ).
thf(f12957,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_72
| ~ spl0_206
| ~ spl0_248 ),
inference(forward_subsumption_resolution,[],[f12799,f1994]) ).
thf(f12959,plain,
( spl0_64
| ~ spl0_72
| ~ spl0_97
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f12953,f6674,f2703,f1993,f1821]) ).
thf(f12961,plain,
( spl0_335
| ~ spl0_72
| ~ spl0_206
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f12957,f9165,f6674,f1993,f11184]) ).
thf(f12964,definition,
( spl0_370
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_370])],[avatar_definition]) ).
thf(f12965,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_370 ),
inference(avatar_component_clause,[],[f12964]) ).
thf(f12971,plain,
( ~ spl0_13
| spl0_270
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f11981,f11972,f9736,f167]) ).
thf(f12972,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_248
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f12908,f26]) ).
thf(f12973,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_240 ),
inference(avatar_component_clause,[],[f8432]) ).
thf(f12974,plain,
( ~ spl0_240
| spl0_272
| spl0_270
| ~ spl0_248
| ~ spl0_301 ),
inference(avatar_split_clause,[],[f12972,f10456,f9165,f9736,f9754,f8432]) ).
thf(f12975,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f30,f74]) ).
thf(f12976,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f12975]) ).
thf(f13001,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f111,f2072]) ).
thf(f13070,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f13001,f24]) ).
thf(f13075,plain,
( $false
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f13070,f25]) ).
thf(f13076,plain,
~ spl0_77,
inference(avatar_contradiction_clause,[],[f13075]) ).
thf(f13079,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f30,f1284]) ).
thf(f13080,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f13079]) ).
thf(f13081,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_72 ),
inference(constrained_superposition,[],[f12976,f1994]) ).
thf(f13086,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f13081]) ).
thf(f13112,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_241 ),
inference(constrained_superposition,[],[f29,f8454]) ).
thf(f13116,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f13112]) ).
thf(f13121,plain,
( spl0_254
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f13116,f8453,f9186]) ).
thf(f13124,definition,
( spl0_371
<=> ! [X2: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_371])],[avatar_definition]) ).
thf(f13125,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) )
| ~ spl0_371 ),
inference(avatar_component_clause,[],[f13124]) ).
thf(f13129,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_160 ),
inference(constrained_superposition,[],[f5127,f34]) ).
thf(f13131,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_160 ),
inference(trivial_inequality_removal,[],[f13129]) ).
thf(f13133,plain,
( spl0_358
| spl0_160 ),
inference(avatar_split_clause,[],[f13131,f5126,f12111]) ).
thf(f13135,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f107,f5055]) ).
thf(f13139,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f13135]) ).
thf(f13141,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f13139,f74]) ).
thf(f13142,plain,
( spl0_356
| ~ spl0_2
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f13141,f5054,f73,f12084]) ).
thf(f13143,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_286 ),
inference(constrained_superposition,[],[f10054,f33]) ).
thf(f13146,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f13143]) ).
thf(f13147,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_240 ),
inference(constrained_superposition,[],[f12973,f54]) ).
thf(f13148,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_240
| ~ spl0_301 ),
inference(constrained_superposition,[],[f12973,f10457]) ).
thf(f13149,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_240 ),
inference(trivial_inequality_removal,[],[f13147]) ).
thf(f13150,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_240
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f13148]) ).
thf(f13151,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_240
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f13150,f26]) ).
thf(f13152,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_110
| spl0_240
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f13151,f12914]) ).
thf(f13153,plain,
( $false
| spl0_75
| spl0_110
| spl0_240
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f13152,f9135]) ).
thf(f13154,plain,
( spl0_75
| spl0_110
| spl0_240
| ~ spl0_301 ),
inference(avatar_contradiction_clause,[],[f13153]) ).
thf(f13180,definition,
( spl0_372
<=> ! [X2: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_372])],[avatar_definition]) ).
thf(f13181,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) )
| ~ spl0_372 ),
inference(avatar_component_clause,[],[f13180]) ).
thf(f13202,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f48,f12075]) ).
thf(f13211,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f13202]) ).
thf(f13214,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_93
| ~ spl0_256
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f13211,f12621]) ).
thf(f13216,plain,
( ~ spl0_15
| spl0_14
| ~ spl0_93
| ~ spl0_256
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f13214,f12074,f9193,f2688,f194,f197]) ).
thf(f13218,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f107,f11847]) ).
thf(f13219,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_109
| ~ spl0_148 ),
inference(constrained_superposition,[],[f2776,f11847]) ).
thf(f13221,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f13218]) ).
thf(f13223,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_109
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f13219]) ).
thf(f13226,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_57
| ~ spl0_97 ),
inference(constrained_superposition,[],[f13080,f10664]) ).
thf(f13229,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_50
| ~ spl0_57 ),
inference(constrained_superposition,[],[f13080,f1259]) ).
thf(f13233,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_57
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f13226]) ).
thf(f13234,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_50
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f13229]) ).
thf(f13235,plain,
( $false
| ~ spl0_57
| ~ spl0_72
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f13233,f1994]) ).
thf(f13236,plain,
( ~ spl0_57
| ~ spl0_72
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f13235]) ).
thf(f13237,plain,
( $false
| ~ spl0_2
| ~ spl0_50
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f13234,f74]) ).
thf(f13238,plain,
( ~ spl0_2
| ~ spl0_50
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f13237]) ).
thf(f13239,plain,
( spl0_241
| spl0_240 ),
inference(avatar_split_clause,[],[f13149,f8432,f8453]) ).
thf(f13240,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_109
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f13223,f26]) ).
thf(f13242,plain,
( ~ spl0_57
| spl0_241
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f13221,f5033,f8453,f1283]) ).
thf(f13243,plain,
( ~ spl0_64
| ~ spl0_109
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f13240,f5033,f2775,f1821]) ).
thf(f13259,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_93
| ~ spl0_358 ),
inference(constrained_superposition,[],[f3713,f12112]) ).
thf(f13262,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_93
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f13259]) ).
thf(f13265,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_93
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f13262,f26]) ).
thf(f13276,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f2809,f112]) ).
thf(f13278,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f13276]) ).
thf(f13283,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_93
| ~ spl0_358 ),
inference(constrained_superposition,[],[f242,f13265]) ).
thf(f13285,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_93
| ~ spl0_358 ),
inference(constrained_superposition,[],[f68,f13265]) ).
thf(f13288,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_93
| ~ spl0_358 ),
inference(constrained_superposition,[],[f39,f13265]) ).
thf(f13291,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_93
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f13288]) ).
thf(f13294,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_93
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f13283]) ).
thf(f13297,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_93
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f13285]) ).
thf(f13299,definition,
( spl0_374
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_374])],[avatar_definition]) ).
thf(f13300,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_374 ),
inference(avatar_component_clause,[],[f13299]) ).
thf(f13302,definition,
( spl0_375
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_375])],[avatar_definition]) ).
thf(f13303,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_375 ),
inference(avatar_component_clause,[],[f13302]) ).
thf(f13306,definition,
( spl0_376
<=> ! [X2: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_376])],[avatar_definition]) ).
thf(f13307,plain,
( ! [X2: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_376 ),
inference(avatar_component_clause,[],[f13306]) ).
thf(f13308,plain,
( spl0_59
| spl0_376
| ~ spl0_93
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f13291,f12111,f2688,f13306,f1290]) ).
thf(f13309,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| spl0_53
| ~ spl0_93
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f13294,f2754]) ).
thf(f13311,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_57
| ~ spl0_93
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f13297,f3144]) ).
thf(f13312,plain,
( ~ spl0_375
| spl0_374
| spl0_53
| ~ spl0_93
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f13309,f12111,f2688,f1268,f13299,f13302]) ).
thf(f13314,definition,
( spl0_377
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_377])],[avatar_definition]) ).
thf(f13315,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_377 ),
inference(avatar_component_clause,[],[f13314]) ).
thf(f13316,plain,
( ~ spl0_377
| spl0_374
| spl0_57
| ~ spl0_93
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f13311,f12111,f2688,f1283,f13299,f13314]) ).
thf(f13319,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_377 ),
inference(constrained_superposition,[],[f13315,f28]) ).
thf(f13322,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_377 ),
inference(trivial_inequality_removal,[],[f13319]) ).
thf(f13325,definition,
( spl0_378
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_378])],[avatar_definition]) ).
thf(f13326,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_378 ),
inference(avatar_component_clause,[],[f13325]) ).
thf(f13327,plain,
( spl0_378
| spl0_333
| spl0_377 ),
inference(avatar_split_clause,[],[f13322,f13314,f11170,f13325]) ).
thf(f13329,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_378 ),
inference(constrained_superposition,[],[f12976,f13326]) ).
thf(f13331,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_378 ),
inference(trivial_inequality_removal,[],[f13329]) ).
thf(f13333,plain,
( $false
| ~ spl0_2
| ~ spl0_358
| ~ spl0_378 ),
inference(forward_subsumption_resolution,[],[f13331,f12112]) ).
thf(f13334,plain,
( ~ spl0_2
| ~ spl0_358
| ~ spl0_378 ),
inference(avatar_contradiction_clause,[],[f13333]) ).
thf(f13335,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_375 ),
inference(constrained_superposition,[],[f13303,f111]) ).
thf(f13337,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_375 ),
inference(constrained_superposition,[],[f13303,f35]) ).
thf(f13338,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_375 ),
inference(constrained_superposition,[],[f13303,f28]) ).
thf(f13339,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_375 ),
inference(trivial_inequality_removal,[],[f13338]) ).
thf(f13340,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_375 ),
inference(trivial_inequality_removal,[],[f13337]) ).
thf(f13342,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_375 ),
inference(trivial_inequality_removal,[],[f13335]) ).
thf(f13344,definition,
( spl0_379
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_379])],[avatar_definition]) ).
thf(f13345,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_379 ),
inference(avatar_component_clause,[],[f13344]) ).
thf(f13346,plain,
( spl0_355
| spl0_379
| spl0_375 ),
inference(avatar_split_clause,[],[f13339,f13302,f13344,f12079]) ).
thf(f13347,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_75
| spl0_375 ),
inference(forward_subsumption_resolution,[],[f13340,f9135]) ).
thf(f13349,plain,
( spl0_355
| spl0_375 ),
inference(avatar_split_clause,[],[f13342,f13302,f12079]) ).
thf(f13350,plain,
( spl0_355
| spl0_75
| spl0_375 ),
inference(avatar_split_clause,[],[f13347,f13302,f2039,f12079]) ).
thf(f13362,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f6707,f34]) ).
thf(f13365,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f13362]) ).
thf(f13367,plain,
( spl0_208
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f13365,f6706,f6684]) ).
thf(f13400,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_332 ),
inference(constrained_superposition,[],[f1057,f11167]) ).
thf(f13404,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f13400]) ).
thf(f13422,plain,
( ~ spl0_67
| ~ spl0_2
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f13086,f1993,f73,f1884]) ).
thf(f13423,plain,
( spl0_113
| ~ spl0_13
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f13278,f2808,f167,f2815]) ).
thf(f13451,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f54,f282]) ).
thf(f13508,definition,
( spl0_380
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_380])],[avatar_definition]) ).
thf(f13509,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true ) )
| ~ spl0_380 ),
inference(avatar_component_clause,[],[f13508]) ).
thf(f13528,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f13451,f25]) ).
thf(f13536,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f13528,f24]) ).
thf(f13537,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f13536]) ).
thf(f13559,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f107,f147]) ).
thf(f13563,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f13559]) ).
thf(f13564,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f13563,f74]) ).
thf(f13565,plain,
( spl0_36
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f13564,f146,f73,f876]) ).
thf(f13586,plain,
( ( $true != $true )
| ~ spl0_8
| ~ spl0_65
| ~ spl0_332 ),
inference(constrained_superposition,[],[f13404,f1825]) ).
thf(f13590,plain,
( $false
| ~ spl0_8
| ~ spl0_65
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f13586]) ).
thf(f13591,plain,
( ~ spl0_8
| ~ spl0_65
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f13590]) ).
thf(f13600,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f29,f6693]) ).
thf(f13606,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f13600]) ).
thf(f13610,plain,
( spl0_380
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f13606,f6692,f13508]) ).
thf(f13620,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_124
| ~ spl0_240 ),
inference(constrained_superposition,[],[f8433,f3159]) ).
thf(f13625,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_124
| spl0_286 ),
inference(constrained_superposition,[],[f10054,f3159]) ).
thf(f13627,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_124
| ~ spl0_338 ),
inference(constrained_superposition,[],[f11305,f3159]) ).
thf(f13688,plain,
( $false
| ~ spl0_124
| spl0_231
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f13620,f12744]) ).
thf(f13689,plain,
( ~ spl0_124
| spl0_231
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[],[f13688]) ).
thf(f13696,plain,
( spl0_265
| ~ spl0_124
| ~ spl0_338 ),
inference(avatar_split_clause,[],[f13627,f11304,f3158,f9576]) ).
thf(f13699,plain,
( ~ spl0_328
| ~ spl0_124
| spl0_286 ),
inference(avatar_split_clause,[],[f13625,f10053,f3158,f10903]) ).
thf(f13731,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f100,f34]) ).
thf(f13732,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f13731]) ).
thf(f13746,plain,
( spl0_151
| spl0_286 ),
inference(avatar_split_clause,[],[f13146,f10053,f5054]) ).
thf(f13748,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f107,f12080]) ).
thf(f13749,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f30,f12080]) ).
thf(f13750,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f13748]) ).
thf(f13751,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f13749]) ).
thf(f13754,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f30,f10664]) ).
thf(f13755,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f13754]) ).
thf(f13806,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_252 ),
inference(constrained_superposition,[],[f13732,f9180]) ).
thf(f13812,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_252 ),
inference(trivial_inequality_removal,[],[f13806]) ).
thf(f13820,plain,
( ~ spl0_84
| spl0_345
| ~ spl0_6
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f13812,f9179,f99,f11689,f2649]) ).
thf(f13829,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_345 ),
inference(constrained_superposition,[],[f30,f11690]) ).
thf(f13831,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f13829]) ).
thf(f13844,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_336 ),
inference(constrained_superposition,[],[f111,f11192]) ).
thf(f13907,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f13844,f24]) ).
thf(f13912,plain,
( $false
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f13907,f25]) ).
thf(f13913,plain,
~ spl0_336,
inference(avatar_contradiction_clause,[],[f13912]) ).
thf(f13924,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_345 ),
inference(constrained_superposition,[],[f13831,f54]) ).
thf(f13927,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f13924]) ).
thf(f13928,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_345 ),
inference(forward_subsumption_resolution,[],[f13927,f78]) ).
thf(f13929,plain,
( spl0_354
| ~ spl0_3
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f13928,f11689,f77,f12074]) ).
thf(f13952,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f107,f9183]) ).
thf(f13953,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f30,f9183]) ).
thf(f13954,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f13953]) ).
thf(f13955,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f13952]) ).
thf(f13956,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f13751,f54]) ).
thf(f13958,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f13956]) ).
thf(f14002,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_249
| ~ spl0_370 ),
inference(constrained_superposition,[],[f12965,f9169]) ).
thf(f14015,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_249
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f14002]) ).
thf(f14022,plain,
( ~ spl0_70
| ~ spl0_249
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f14015,f12964,f9168,f1985]) ).
thf(f14029,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f13755,f9173]) ).
thf(f14035,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f14029]) ).
thf(f14037,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f14035,f113]) ).
thf(f14038,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f14037]) ).
thf(f14039,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[],[f14038,f26]) ).
thf(f14041,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_200
| ~ spl0_250 ),
inference(constrained_superposition,[],[f6369,f14039]) ).
thf(f14052,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_97
| ~ spl0_200
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f14041]) ).
thf(f14059,plain,
( ~ spl0_278
| ~ spl0_97
| ~ spl0_200
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f14052,f9172,f6368,f2703,f9921]) ).
thf(f14066,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| spl0_278 ),
inference(constrained_superposition,[],[f9922,f34]) ).
thf(f14067,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| spl0_278 ),
inference(constrained_superposition,[],[f9922,f28]) ).
thf(f14068,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| spl0_278 ),
inference(trivial_inequality_removal,[],[f14067]) ).
thf(f14069,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| spl0_278 ),
inference(trivial_inequality_removal,[],[f14066]) ).
thf(f14070,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_8
| spl0_278
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f14068,f13404]) ).
thf(f14073,plain,
( $false
| ~ spl0_8
| spl0_278
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f14070,f26]) ).
thf(f14074,plain,
( ~ spl0_8
| spl0_278
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f14073]) ).
thf(f14077,plain,
( spl0_335
| spl0_278 ),
inference(avatar_split_clause,[],[f14069,f9921,f11184]) ).
thf(f14087,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_334 ),
inference(constrained_superposition,[],[f112,f11175]) ).
thf(f14150,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f14087,f25]) ).
thf(f14158,plain,
( $false
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f14150,f24]) ).
thf(f14159,plain,
~ spl0_334,
inference(avatar_contradiction_clause,[],[f14158]) ).
thf(f14163,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_348 ),
inference(constrained_superposition,[],[f11915,f35]) ).
thf(f14164,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_348 ),
inference(constrained_superposition,[],[f11915,f28]) ).
thf(f14165,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_348 ),
inference(trivial_inequality_removal,[],[f14163]) ).
thf(f14167,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_348 ),
inference(trivial_inequality_removal,[],[f14164]) ).
thf(f14168,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_276
| spl0_348 ),
inference(forward_subsumption_resolution,[],[f14165,f9958]) ).
thf(f14171,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_276
| spl0_348 ),
inference(forward_subsumption_resolution,[],[f14167,f9958]) ).
thf(f14172,plain,
( $false
| spl0_276
| spl0_348 ),
inference(forward_subsumption_resolution,[],[f14168,f26]) ).
thf(f14173,plain,
( spl0_276
| spl0_348 ),
inference(avatar_contradiction_clause,[],[f14172]) ).
thf(f14174,plain,
( spl0_272
| spl0_276
| spl0_348 ),
inference(avatar_split_clause,[],[f14171,f11914,f9872,f9754]) ).
thf(f14179,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_200
| ~ spl0_229 ),
inference(constrained_superposition,[],[f6369,f7457]) ).
thf(f14193,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_200
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f14179]) ).
thf(f14200,plain,
( ~ spl0_70
| ~ spl0_200
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f14193,f7456,f6368,f1985]) ).
thf(f14250,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f30,f2816]) ).
thf(f14252,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f14250]) ).
thf(f14254,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f107,f9737]) ).
thf(f14256,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f14254]) ).
thf(f14258,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_270 ),
inference(forward_subsumption_resolution,[],[f14256,f74]) ).
thf(f14259,plain,
( spl0_271
| ~ spl0_2
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f14258,f9736,f73,f9742]) ).
thf(f14262,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f30,f10664]) ).
thf(f14263,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f14262]) ).
thf(f14309,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_113
| ~ spl0_148 ),
inference(constrained_superposition,[],[f14252,f11847]) ).
thf(f14315,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_113
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f14309]) ).
thf(f14317,plain,
( $false
| ~ spl0_56
| ~ spl0_113
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f14315,f1280]) ).
thf(f14318,plain,
( ~ spl0_56
| ~ spl0_113
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f14317]) ).
thf(f14328,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f100,f34]) ).
thf(f14330,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f14328]) ).
thf(f14331,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_148 ),
inference(constrained_superposition,[],[f5034,f113]) ).
thf(f14332,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f14331]) ).
thf(f14333,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(forward_subsumption_resolution,[],[f14332,f26]) ).
thf(f14334,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_118
| spl0_148 ),
inference(constrained_superposition,[],[f2965,f14333]) ).
thf(f14336,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_111
| spl0_148 ),
inference(constrained_superposition,[],[f2809,f14333]) ).
thf(f14345,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_118
| spl0_148 ),
inference(trivial_inequality_removal,[],[f14334]) ).
thf(f14346,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_111
| spl0_148 ),
inference(trivial_inequality_removal,[],[f14336]) ).
thf(f14354,plain,
( $false
| spl0_110
| ~ spl0_118
| spl0_148 ),
inference(forward_subsumption_resolution,[],[f14345,f12914]) ).
thf(f14355,plain,
( spl0_110
| ~ spl0_118
| spl0_148 ),
inference(avatar_contradiction_clause,[],[f14354]) ).
thf(f14356,plain,
( ~ spl0_214
| ~ spl0_111
| spl0_148 ),
inference(avatar_split_clause,[],[f14346,f5033,f2808,f6710]) ).
thf(f14405,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_271
| ~ spl0_370 ),
inference(constrained_superposition,[],[f12965,f9743]) ).
thf(f14409,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_271
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f14405]) ).
thf(f14413,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f14263,f54]) ).
thf(f14416,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f14413]) ).
thf(f14421,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_248 ),
inference(constrained_superposition,[],[f30,f9166]) ).
thf(f14422,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f14421]) ).
thf(f14424,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f14263,f9173]) ).
thf(f14431,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f14424]) ).
thf(f14432,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f14431,f113]) ).
thf(f14433,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f14432]) ).
thf(f14434,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[],[f14433,f26]) ).
thf(f14440,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f14330,f14434]) ).
thf(f14448,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f14440]) ).
thf(f14457,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_6
| spl0_64
| ~ spl0_97
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[],[f14448,f3142]) ).
thf(f14465,plain,
( ~ spl0_278
| ~ spl0_6
| spl0_64
| ~ spl0_97
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f14457,f9172,f2703,f1821,f99,f9921]) ).
thf(f14473,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_6
| ~ spl0_251 ),
inference(constrained_superposition,[],[f14330,f9176]) ).
thf(f14487,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f14473]) ).
thf(f14494,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_6
| spl0_67
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[],[f14487,f7458]) ).
thf(f14500,plain,
( ~ spl0_278
| ~ spl0_6
| spl0_67
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f14494,f9175,f1884,f99,f9921]) ).
thf(f14501,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f14263,f9173]) ).
thf(f14505,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f14501]) ).
thf(f14509,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f14505,f113]) ).
thf(f14510,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f14509]) ).
thf(f14511,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[],[f14510,f26]) ).
thf(f14518,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f29,f14511]) ).
thf(f14524,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X2 @ X0 )
!= $true ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f14518]) ).
thf(f14539,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_256 ),
inference(constrained_superposition,[],[f12618,f54]) ).
thf(f14542,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f14539]) ).
thf(f14592,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_248 ),
inference(constrained_superposition,[],[f14422,f54]) ).
thf(f14596,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f14592]) ).
thf(f14613,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_374 ),
inference(constrained_superposition,[],[f13300,f33]) ).
thf(f14616,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_374 ),
inference(constrained_superposition,[],[f13300,f112]) ).
thf(f14617,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_374 ),
inference(trivial_inequality_removal,[],[f14616]) ).
thf(f14618,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_374 ),
inference(trivial_inequality_removal,[],[f14613]) ).
thf(f14623,definition,
( spl0_382
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_382])],[avatar_definition]) ).
thf(f14624,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_382 ),
inference(avatar_component_clause,[],[f14623]) ).
thf(f14625,plain,
( spl0_285
| spl0_382
| ~ spl0_374 ),
inference(avatar_split_clause,[],[f14617,f13299,f14623,f10050]) ).
thf(f14627,definition,
( spl0_383
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_383])],[avatar_definition]) ).
thf(f14628,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_383 ),
inference(avatar_component_clause,[],[f14627]) ).
thf(f14629,plain,
( spl0_383
| spl0_151
| ~ spl0_374 ),
inference(avatar_split_clause,[],[f14618,f13299,f5054,f14627]) ).
thf(f14634,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_383 ),
inference(constrained_superposition,[],[f14628,f112]) ).
thf(f14635,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f14634]) ).
thf(f14654,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_97
| ~ spl0_250
| ~ spl0_380 ),
inference(constrained_superposition,[],[f13509,f14511]) ).
thf(f14661,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_97
| ~ spl0_250
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f14654]) ).
thf(f14664,plain,
( spl0_277
| ~ spl0_348
| ~ spl0_97
| ~ spl0_250
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f14661,f13508,f9172,f2703,f11914,f9918]) ).
thf(f14690,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f14524,f33]) ).
thf(f14694,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_97
| ~ spl0_250
| ~ spl0_271 ),
inference(constrained_superposition,[],[f14524,f9743]) ).
thf(f14696,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_97
| ~ spl0_250
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f14694]) ).
thf(f14700,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f14690]) ).
thf(f14701,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_97
| ~ spl0_210
| ~ spl0_250
| ~ spl0_271 ),
inference(forward_subsumption_resolution,[],[f14696,f6693]) ).
thf(f14702,plain,
( spl0_6
| ~ spl0_214
| spl0_270
| ~ spl0_97
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f14700,f9172,f2703,f9736,f6710,f99]) ).
thf(f14703,plain,
( spl0_14
| ~ spl0_97
| ~ spl0_210
| ~ spl0_250
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f14701,f9742,f9172,f6692,f2703,f194]) ).
thf(f14757,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f30,f11185]) ).
thf(f14758,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f14757]) ).
thf(f14787,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f14758,f54]) ).
thf(f14788,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_248
| ~ spl0_335 ),
inference(constrained_superposition,[],[f14758,f9166]) ).
thf(f14790,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_335
| ~ spl0_338 ),
inference(constrained_superposition,[],[f14758,f11305]) ).
thf(f14792,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f14787]) ).
thf(f14793,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_248
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f14788]) ).
thf(f14794,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_335
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f14790]) ).
thf(f14795,plain,
( $false
| ~ spl0_8
| ~ spl0_335
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f14794,f136]) ).
thf(f14796,plain,
( ~ spl0_8
| ~ spl0_335
| ~ spl0_338 ),
inference(avatar_contradiction_clause,[],[f14795]) ).
thf(f14797,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_112
| ~ spl0_241 ),
inference(constrained_superposition,[],[f2813,f8454]) ).
thf(f14812,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_112
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f14797]) ).
thf(f14816,plain,
( ~ spl0_19
| ~ spl0_112
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f14812,f8453,f2812,f254]) ).
thf(f14817,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_276 ),
inference(constrained_superposition,[],[f12976,f9873]) ).
thf(f14820,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f14817]) ).
thf(f14821,plain,
( $false
| ~ spl0_2
| ~ spl0_276
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f14820,f11185]) ).
thf(f14822,plain,
( ~ spl0_2
| ~ spl0_276
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f14821]) ).
thf(f14823,plain,
( spl0_356
| ~ spl0_23
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f13958,f12079,f384,f12084]) ).
thf(f14824,plain,
( spl0_354
| ~ spl0_57
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f13955,f9182,f1283,f12074]) ).
thf(f14825,plain,
( ~ spl0_15
| ~ spl0_271
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f14409,f12964,f9742,f197]) ).
thf(f14826,plain,
( ~ spl0_231
| spl0_354
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f14542,f9193,f12074,f7643]) ).
thf(f14828,plain,
( ~ spl0_13
| spl0_285
| ~ spl0_383 ),
inference(avatar_split_clause,[],[f14635,f14627,f10050,f167]) ).
thf(f14829,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_378 ),
inference(avatar_component_clause,[],[f13325]) ).
thf(f14830,plain,
( ~ spl0_378
| spl0_36
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f13750,f12079,f876,f13325]) ).
thf(f14860,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f30,f3011]) ).
thf(f14861,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f14860]) ).
thf(f14873,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f30,f1284]) ).
thf(f14874,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f14873]) ).
thf(f14887,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_67
| ~ spl0_107 ),
inference(constrained_superposition,[],[f7458,f2758]) ).
thf(f14889,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_67
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f14887]) ).
thf(f14892,plain,
( spl0_22
| spl0_67
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f14889,f2757,f1884,f281]) ).
thf(f14894,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_151
| ~ spl0_355 ),
inference(constrained_superposition,[],[f13751,f5055]) ).
thf(f14899,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_151
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f14894]) ).
thf(f14901,plain,
( $false
| ~ spl0_11
| ~ spl0_151
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f14899,f147]) ).
thf(f14902,plain,
( ~ spl0_11
| ~ spl0_151
| ~ spl0_355 ),
inference(avatar_contradiction_clause,[],[f14901]) ).
thf(f14924,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_356
| ~ spl0_382 ),
inference(constrained_superposition,[],[f14624,f12085]) ).
thf(f14926,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_356
| ~ spl0_374 ),
inference(constrained_superposition,[],[f13300,f12085]) ).
thf(f14936,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_356
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f14924]) ).
thf(f14941,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_356
| ~ spl0_374 ),
inference(trivial_inequality_removal,[],[f14926]) ).
thf(f14944,plain,
( ~ spl0_19
| ~ spl0_356
| ~ spl0_382 ),
inference(avatar_split_clause,[],[f14936,f14623,f12084,f254]) ).
thf(f14946,plain,
( spl0_372
| ~ spl0_356
| ~ spl0_374 ),
inference(avatar_split_clause,[],[f14941,f13299,f12084,f13180]) ).
thf(f14961,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_23 ),
inference(constrained_superposition,[],[f14861,f147]) ).
thf(f14963,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f14961]) ).
thf(f14965,plain,
( $false
| ~ spl0_2
| ~ spl0_11
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f14963,f74]) ).
thf(f14966,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f14965]) ).
thf(f15002,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_335
| ~ spl0_337 ),
inference(constrained_superposition,[],[f14758,f11256]) ).
thf(f15007,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_335
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f15002]) ).
thf(f15056,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f30,f1269]) ).
thf(f15059,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f15056]) ).
thf(f15083,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_53
| ~ spl0_97 ),
inference(constrained_superposition,[],[f15059,f10664]) ).
thf(f15087,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_53
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f15083]) ).
thf(f15104,plain,
( ~ spl0_3
| ~ spl0_335
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f15007,f11255,f11184,f77]) ).
thf(f15105,plain,
( ~ spl0_67
| ~ spl0_248
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f14793,f11184,f9165,f1884]) ).
thf(f15106,plain,
( ~ spl0_3
| spl0_271
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f14792,f11184,f9742,f77]) ).
thf(f15113,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_67 ),
inference(constrained_superposition,[],[f30,f1885]) ).
thf(f15114,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f15113]) ).
thf(f15115,plain,
( spl0_143
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f15114,f1884,f4233]) ).
thf(f15120,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f828,f111]) ).
thf(f15124,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f15120]) ).
thf(f15129,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f100,f34]) ).
thf(f15130,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f15129]) ).
thf(f15146,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_354 ),
inference(constrained_superposition,[],[f15130,f12075]) ).
thf(f15148,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_6
| ~ spl0_241 ),
inference(constrained_superposition,[],[f15130,f8454]) ).
thf(f15152,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f15146]) ).
thf(f15154,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f15148]) ).
thf(f15163,plain,
( spl0_345
| ~ spl0_15
| ~ spl0_6
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f15152,f12074,f99,f197,f11689]) ).
thf(f15185,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f128,f9176]) ).
thf(f15193,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f15185]) ).
thf(f15201,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_53
| ~ spl0_97
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[],[f15193,f15087]) ).
thf(f15206,plain,
( ~ spl0_275
| spl0_277
| ~ spl0_53
| ~ spl0_97
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f15201,f9175,f2703,f1268,f9918,f9868]) ).
thf(f15210,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_27
| ~ spl0_356 ),
inference(constrained_superposition,[],[f15124,f12085]) ).
thf(f15211,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_27
| ~ spl0_241 ),
inference(constrained_superposition,[],[f15124,f8454]) ).
thf(f15217,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_27
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f15211]) ).
thf(f15218,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_27
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f15210]) ).
thf(f15222,plain,
( $false
| ~ spl0_27
| ~ spl0_53
| ~ spl0_97
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f15217,f15087]) ).
thf(f15223,plain,
( ~ spl0_27
| ~ spl0_53
| ~ spl0_97
| ~ spl0_241 ),
inference(avatar_contradiction_clause,[],[f15222]) ).
thf(f15224,plain,
( spl0_355
| ~ spl0_27
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f15218,f12084,f827,f12079]) ).
thf(f15225,plain,
( spl0_271
| ~ spl0_240
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f14596,f9165,f8432,f9742]) ).
thf(f15239,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_210 ),
inference(constrained_superposition,[],[f15130,f6693]) ).
thf(f15251,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f15239]) ).
thf(f15264,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_143
| ~ spl0_240 ),
inference(constrained_superposition,[],[f4234,f8433]) ).
thf(f15270,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_143
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f15264]) ).
thf(f15272,plain,
( $false
| ~ spl0_3
| ~ spl0_143
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f15270,f78]) ).
thf(f15273,plain,
( ~ spl0_3
| ~ spl0_143
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[],[f15272]) ).
thf(f15279,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_6
| ~ spl0_82 ),
inference(constrained_superposition,[],[f15130,f7067]) ).
thf(f15284,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_6
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f15279]) ).
thf(f15300,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f828,f111]) ).
thf(f15304,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f15300]) ).
thf(f15438,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_338 ),
inference(constrained_superposition,[],[f107,f11305]) ).
thf(f15439,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_338 ),
inference(constrained_superposition,[],[f30,f11305]) ).
thf(f15440,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f15438]) ).
thf(f15441,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f15439]) ).
thf(f15498,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_27
| ~ spl0_241 ),
inference(constrained_superposition,[],[f15304,f8454]) ).
thf(f15499,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_27
| ~ spl0_210 ),
inference(constrained_superposition,[],[f15304,f6693]) ).
thf(f15503,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_27
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f15499]) ).
thf(f15504,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_27
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f15498]) ).
thf(f15509,plain,
( spl0_56
| ~ spl0_27
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f15503,f6692,f827,f1279]) ).
thf(f15510,plain,
( spl0_76
| ~ spl0_27
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f15504,f8453,f827,f2068]) ).
thf(f15512,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_6
| spl0_64
| ~ spl0_210 ),
inference(forward_subsumption_resolution,[],[f15251,f3142]) ).
thf(f15515,plain,
( ~ spl0_15
| ~ spl0_6
| spl0_64
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f15512,f6692,f1821,f99,f197]) ).
thf(f15526,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f30,f1825]) ).
thf(f15527,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f15526]) ).
thf(f15576,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_65
| ~ spl0_338 ),
inference(constrained_superposition,[],[f15527,f11305]) ).
thf(f15581,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_65
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f15576]) ).
thf(f15582,plain,
( $false
| ~ spl0_8
| ~ spl0_65
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f15581,f136]) ).
thf(f15583,plain,
( ~ spl0_8
| ~ spl0_65
| ~ spl0_338 ),
inference(avatar_contradiction_clause,[],[f15582]) ).
thf(f15598,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_6
| spl0_64
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f15284,f3142]) ).
thf(f15599,plain,
( spl0_67
| ~ spl0_15
| ~ spl0_6
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f15154,f8453,f99,f197,f1884]) ).
thf(f15603,plain,
( ~ spl0_16
| ~ spl0_6
| spl0_64
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f15598,f2213,f1821,f99,f244]) ).
thf(f15649,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_113 ),
inference(constrained_superposition,[],[f14263,f2816]) ).
thf(f15654,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f15649]) ).
thf(f15655,plain,
( $false
| ~ spl0_53
| ~ spl0_97
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f15654,f1269]) ).
thf(f15656,plain,
( ~ spl0_53
| ~ spl0_97
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[],[f15655]) ).
thf(f15667,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f30,f147]) ).
thf(f15668,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f15667]) ).
thf(f15747,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f6369,f112]) ).
thf(f15755,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f15747]) ).
thf(f15757,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_53
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[],[f15755,f2754]) ).
thf(f15758,plain,
( ~ spl0_16
| spl0_53
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f15757,f6368,f1268,f244]) ).
thf(f15763,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_355 ),
inference(constrained_superposition,[],[f15668,f12080]) ).
thf(f15767,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f15763]) ).
thf(f15769,plain,
( $false
| ~ spl0_11
| ~ spl0_355
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f15767,f12112]) ).
thf(f15770,plain,
( ~ spl0_11
| ~ spl0_355
| ~ spl0_358 ),
inference(avatar_contradiction_clause,[],[f15769]) ).
thf(f15785,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f30,f9577]) ).
thf(f15788,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f15785]) ).
thf(f15808,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_331 ),
inference(constrained_superposition,[],[f15668,f11163]) ).
thf(f15813,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f15808]) ).
thf(f15814,plain,
( $false
| ~ spl0_11
| ~ spl0_331
| ~ spl0_345 ),
inference(forward_subsumption_resolution,[],[f15813,f11690]) ).
thf(f15815,plain,
( ~ spl0_11
| ~ spl0_331
| ~ spl0_345 ),
inference(avatar_contradiction_clause,[],[f15814]) ).
thf(f15874,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_332 ),
inference(constrained_superposition,[],[f15668,f11167]) ).
thf(f15877,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f15874]) ).
thf(f15880,plain,
( $false
| ~ spl0_11
| ~ spl0_332
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f15877,f11185]) ).
thf(f15881,plain,
( ~ spl0_11
| ~ spl0_332
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f15880]) ).
thf(f15942,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f251,f33]) ).
thf(f15946,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_18
| ~ spl0_36 ),
inference(constrained_superposition,[],[f251,f877]) ).
thf(f15947,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f15942]) ).
thf(f15949,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_18
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f15946]) ).
thf(f15954,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_36 ),
inference(constrained_superposition,[],[f15949,f33]) ).
thf(f15963,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f15954]) ).
thf(f15972,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f14263,f9173]) ).
thf(f15976,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f15972]) ).
thf(f15979,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f15976,f113]) ).
thf(f15980,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f15979]) ).
thf(f15981,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[],[f15980,f26]) ).
thf(f15982,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f242,f15981]) ).
thf(f15994,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f15982]) ).
thf(f15997,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_53
| ~ spl0_97
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[],[f15994,f2754]) ).
thf(f16000,plain,
( spl0_277
| ~ spl0_275
| spl0_53
| ~ spl0_97
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f15997,f9172,f2703,f1268,f9868,f9918]) ).
thf(f16001,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_47 ),
inference(constrained_superposition,[],[f1043,f34]) ).
thf(f16004,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f16001]) ).
thf(f16006,plain,
( spl0_17
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f16004,f1042,f247]) ).
thf(f16011,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_265
| ~ spl0_269 ),
inference(constrained_superposition,[],[f15788,f9626]) ).
thf(f16014,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_265
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f16011]) ).
thf(f16017,plain,
( $false
| ~ spl0_11
| ~ spl0_265
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f16014,f147]) ).
thf(f16018,plain,
( ~ spl0_11
| ~ spl0_265
| ~ spl0_269 ),
inference(avatar_contradiction_clause,[],[f16017]) ).
thf(f16023,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_349 ),
inference(constrained_superposition,[],[f11933,f112]) ).
thf(f16025,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_349 ),
inference(trivial_inequality_removal,[],[f16023]) ).
thf(f16086,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_253
| ~ spl0_265 ),
inference(constrained_superposition,[],[f13954,f9577]) ).
thf(f16090,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f16086]) ).
thf(f16092,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_248
| ~ spl0_338 ),
inference(constrained_superposition,[],[f15441,f9166]) ).
thf(f16095,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_270
| ~ spl0_338 ),
inference(constrained_superposition,[],[f15441,f9737]) ).
thf(f16096,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_270
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f16095]) ).
thf(f16098,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_248
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f16092]) ).
thf(f16103,plain,
( $false
| ~ spl0_76
| ~ spl0_248
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f16098,f2069]) ).
thf(f16104,plain,
( ~ spl0_76
| ~ spl0_248
| ~ spl0_338 ),
inference(avatar_contradiction_clause,[],[f16103]) ).
thf(f16105,plain,
( spl0_11
| spl0_40
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f15947,f250,f896,f146]) ).
thf(f16106,plain,
( ~ spl0_11
| ~ spl0_270
| ~ spl0_338 ),
inference(avatar_split_clause,[],[f16096,f11304,f9736,f146]) ).
thf(f16107,plain,
( ~ spl0_53
| ~ spl0_253
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f16090,f9576,f9182,f1268]) ).
thf(f16109,plain,
( spl0_265
| ~ spl0_16
| ~ spl0_349 ),
inference(avatar_split_clause,[],[f16025,f11932,f244,f9576]) ).
thf(f16114,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_53
| ~ spl0_57 ),
inference(constrained_superposition,[],[f14874,f1269]) ).
thf(f16115,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f107,f1269]) ).
thf(f16118,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_53
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f16114]) ).
thf(f16119,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f16115]) ).
thf(f16125,plain,
( ~ spl0_9
| spl0_210
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f16119,f1268,f6692,f139]) ).
thf(f16127,plain,
( spl0_271
| ~ spl0_9
| ~ spl0_338 ),
inference(avatar_split_clause,[],[f15440,f11304,f139,f9742]) ).
thf(f16128,plain,
( ~ spl0_9
| ~ spl0_53
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f16118,f1283,f1268,f139]) ).
thf(f16129,plain,
( ~ spl0_5
| spl0_11
| ~ spl0_18
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f15963,f876,f250,f146,f96]) ).
thf(f16131,plain,
( ~ spl0_231
| spl0_241
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f14416,f2703,f8453,f7643]) ).
thf(f16136,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f30,f147]) ).
thf(f16138,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f16136]) ).
thf(f16157,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f41,f6693]) ).
thf(f16162,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f16157]) ).
thf(f16168,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| spl0_50
| ~ spl0_210 ),
inference(forward_subsumption_resolution,[],[f16162,f11146]) ).
thf(f16171,plain,
( ~ spl0_15
| spl0_14
| spl0_50
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f16168,f6692,f1258,f194,f197]) ).
thf(f16207,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_56 ),
inference(constrained_superposition,[],[f16138,f1280]) ).
thf(f16213,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f16207]) ).
thf(f16214,plain,
( $false
| ~ spl0_11
| ~ spl0_56
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f16213,f1822]) ).
thf(f16215,plain,
( ~ spl0_11
| ~ spl0_56
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f16214]) ).
thf(f16220,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f30,f140]) ).
thf(f16221,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f16220]) ).
thf(f16234,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_231 ),
inference(constrained_superposition,[],[f30,f7644]) ).
thf(f16235,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f16234]) ).
thf(f16239,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_241 ),
inference(constrained_superposition,[],[f128,f8454]) ).
thf(f16245,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f16239]) ).
thf(f16275,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_321 ),
inference(constrained_superposition,[],[f10869,f34]) ).
thf(f16278,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_321 ),
inference(trivial_inequality_removal,[],[f16275]) ).
thf(f16280,plain,
( spl0_345
| spl0_321 ),
inference(avatar_split_clause,[],[f16278,f10868,f11689]) ).
thf(f16281,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_345 ),
inference(constrained_superposition,[],[f30,f11690]) ).
thf(f16282,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f16281]) ).
thf(f16285,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_332 ),
inference(constrained_superposition,[],[f16221,f11167]) ).
thf(f16290,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f16285]) ).
thf(f16291,plain,
( ~ spl0_276
| ~ spl0_9
| ~ spl0_332 ),
inference(avatar_split_clause,[],[f16290,f11166,f139,f9872]) ).
thf(f16294,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_93
| ~ spl0_97 ),
inference(constrained_superposition,[],[f2689,f10664]) ).
thf(f16298,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_93
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f16294]) ).
thf(f16300,plain,
( $false
| ~ spl0_67
| ~ spl0_93
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f16298,f1885]) ).
thf(f16301,plain,
( ~ spl0_67
| ~ spl0_93
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f16300]) ).
thf(f16307,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f128,f12075]) ).
thf(f16310,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f41,f12075]) ).
thf(f16312,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f29,f12075]) ).
thf(f16313,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f16307]) ).
thf(f16315,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f16312]) ).
thf(f16318,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f16310]) ).
thf(f16322,plain,
( ~ spl0_15
| spl0_269
| spl0_14
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f16318,f12074,f194,f9625,f197]) ).
thf(f16334,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_64
| ~ spl0_79 ),
inference(constrained_superposition,[],[f3142,f2146]) ).
thf(f16337,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_64
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f16334]) ).
thf(f16340,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_64
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f16337,f26]) ).
thf(f16343,plain,
( spl0_22
| spl0_64
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f16340,f2145,f1821,f281]) ).
thf(f16374,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_118 ),
inference(constrained_superposition,[],[f2965,f111]) ).
thf(f16375,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_118 ),
inference(constrained_superposition,[],[f2965,f53]) ).
thf(f16379,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f16375]) ).
thf(f16380,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f16374]) ).
thf(f16387,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f195,f53]) ).
thf(f16389,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f16387]) ).
thf(f16402,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f30,f9183]) ).
thf(f16404,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f16402]) ).
thf(f16448,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_349
| ~ spl0_354 ),
inference(constrained_superposition,[],[f11933,f12075]) ).
thf(f16454,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_349
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f16448]) ).
thf(f16455,plain,
( ~ spl0_15
| ~ spl0_349
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f16454,f12074,f11932,f197]) ).
thf(f16465,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_265
| ~ spl0_345 ),
inference(constrained_superposition,[],[f16282,f9577]) ).
thf(f16468,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_265
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f16465]) ).
thf(f16499,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f14263,f9173]) ).
thf(f16505,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f16499]) ).
thf(f16506,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f16505,f113]) ).
thf(f16507,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f16506]) ).
thf(f16508,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[],[f16507,f26]) ).
thf(f16512,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f48,f16508]) ).
thf(f16519,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f16512]) ).
thf(f16523,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| spl0_64
| ~ spl0_97
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[],[f16519,f3142]) ).
thf(f16526,plain,
( ~ spl0_278
| spl0_277
| spl0_64
| ~ spl0_97
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f16523,f9172,f2703,f1821,f9918,f9921]) ).
thf(f16576,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_249
| ~ spl0_350 ),
inference(constrained_superposition,[],[f11973,f9169]) ).
thf(f16583,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_249
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f16576]) ).
thf(f16584,plain,
( ~ spl0_68
| ~ spl0_249
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f16583,f11972,f9168,f1978]) ).
thf(f16587,plain,
( $false
| ~ spl0_8
| ~ spl0_265
| ~ spl0_345 ),
inference(forward_subsumption_resolution,[],[f136,f16468]) ).
thf(f16588,plain,
( ~ spl0_8
| ~ spl0_265
| ~ spl0_345 ),
inference(avatar_contradiction_clause,[],[f16587]) ).
thf(f16597,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_276 ),
inference(constrained_superposition,[],[f30,f9873]) ).
thf(f16598,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f16597]) ).
thf(f16662,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f16389,f33]) ).
thf(f16666,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_251 ),
inference(constrained_superposition,[],[f16389,f9176]) ).
thf(f16677,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f16662]) ).
thf(f16680,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f16666]) ).
thf(f16683,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f16677,f194,f96,f93]) ).
thf(f16684,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| spl0_72
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[],[f16680,f9738]) ).
thf(f16685,plain,
( ~ spl0_348
| ~ spl0_14
| spl0_72
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f16684,f9175,f1993,f194,f11914]) ).
thf(f16699,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_31
| ~ spl0_251 ),
inference(constrained_superposition,[],[f842,f9176]) ).
thf(f16712,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_31
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f16699]) ).
thf(f16714,plain,
( spl0_332
| ~ spl0_68
| ~ spl0_31
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f16712,f9175,f841,f1978,f11166]) ).
thf(f16716,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_380 ),
inference(constrained_superposition,[],[f13509,f33]) ).
thf(f16723,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f16716]) ).
thf(f16727,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| spl0_50
| ~ spl0_380 ),
inference(forward_subsumption_resolution,[],[f16723,f11146]) ).
thf(f16728,plain,
( spl0_6
| ~ spl0_5
| spl0_50
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f16727,f13508,f1258,f96,f99]) ).
thf(f16760,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f16315,f33]) ).
thf(f16765,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f16760]) ).
thf(f16771,plain,
( ~ spl0_5
| spl0_6
| spl0_269
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f16765,f12074,f9625,f99,f96]) ).
thf(f16774,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_269 ),
inference(constrained_superposition,[],[f107,f9626]) ).
thf(f16777,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f16774]) ).
thf(f16783,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_277 ),
inference(constrained_superposition,[],[f9919,f33]) ).
thf(f16786,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) )
| ~ spl0_277 ),
inference(constrained_superposition,[],[f9919,f112]) ).
thf(f16789,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) )
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f16786]) ).
thf(f16791,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) )
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f16783]) ).
thf(f16824,plain,
( spl0_2
| spl0_57
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f16379,f2964,f1283,f73]) ).
thf(f16825,plain,
( spl0_56
| spl0_11
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f16380,f2964,f146,f1279]) ).
thf(f16826,plain,
( spl0_270
| spl0_370
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f16791,f9918,f12964,f9736]) ).
thf(f16831,plain,
( spl0_338
| spl0_350
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f16789,f9918,f11972,f11304]) ).
thf(f16834,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f30,f78]) ).
thf(f16835,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f16834]) ).
thf(f16844,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f242,f6693]) ).
thf(f16845,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f128,f6693]) ).
thf(f16856,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f16845]) ).
thf(f16857,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f16844]) ).
thf(f16869,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f30,f1269]) ).
thf(f16870,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f16869]) ).
thf(f16896,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f897,f28]) ).
thf(f16904,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f16896]) ).
thf(f16908,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_270
| ~ spl0_276 ),
inference(constrained_superposition,[],[f16598,f9737]) ).
thf(f16911,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_270
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f16908]) ).
thf(f16914,plain,
( $false
| ~ spl0_2
| ~ spl0_270
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f16911,f74]) ).
thf(f16915,plain,
( ~ spl0_2
| ~ spl0_270
| ~ spl0_276 ),
inference(avatar_contradiction_clause,[],[f16914]) ).
thf(f16922,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_53
| ~ spl0_231 ),
inference(constrained_superposition,[],[f16235,f1269]) ).
thf(f16925,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_53
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f16922]) ).
thf(f16929,plain,
( $false
| ~ spl0_9
| ~ spl0_53
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[],[f16925,f140]) ).
thf(f16930,plain,
( ~ spl0_9
| ~ spl0_53
| ~ spl0_231 ),
inference(avatar_contradiction_clause,[],[f16929]) ).
thf(f16955,definition,
( spl0_385
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_385])],[avatar_definition]) ).
thf(f16956,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f16955]) ).
thf(f16965,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_53
| ~ spl0_97 ),
inference(constrained_superposition,[],[f16870,f10664]) ).
thf(f16966,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_53
| ~ spl0_256 ),
inference(constrained_superposition,[],[f16870,f9194]) ).
thf(f16970,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_53
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f16965]) ).
thf(f16972,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_53
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f16966]) ).
thf(f16979,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f824,f112]) ).
thf(f16990,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f16979]) ).
thf(f17002,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_276
| ~ spl0_338 ),
inference(constrained_superposition,[],[f16598,f11305]) ).
thf(f17007,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_276
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f17002]) ).
thf(f17008,plain,
( $false
| ~ spl0_9
| ~ spl0_276
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f17007,f140]) ).
thf(f17009,plain,
( ~ spl0_9
| ~ spl0_276
| ~ spl0_338 ),
inference(avatar_contradiction_clause,[],[f17008]) ).
thf(f17010,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_53
| ~ spl0_97
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f16245,f16970]) ).
thf(f17012,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_53
| ~ spl0_256
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f16313,f16972]) ).
thf(f17014,plain,
( ~ spl0_36
| spl0_14
| spl0_56
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f16856,f6692,f1279,f194,f876]) ).
thf(f17015,plain,
( spl0_47
| spl0_8
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f16990,f823,f135,f1042]) ).
thf(f17016,plain,
( $false
| ~ spl0_53
| ~ spl0_76
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f2069,f16970]) ).
thf(f17017,plain,
( ~ spl0_53
| ~ spl0_76
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f17016]) ).
thf(f17018,plain,
( spl0_14
| ~ spl0_36
| ~ spl0_53
| ~ spl0_97
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f17010,f8453,f2703,f1268,f876,f194]) ).
thf(f17019,plain,
( ~ spl0_36
| spl0_14
| ~ spl0_53
| ~ spl0_256
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f17012,f12074,f9193,f1268,f194,f876]) ).
thf(f17023,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f30,f147]) ).
thf(f17026,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f17023]) ).
thf(f17041,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_9 ),
inference(constrained_superposition,[],[f16835,f140]) ).
thf(f17042,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_3
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f17041]) ).
thf(f17043,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_23 ),
inference(constrained_superposition,[],[f17026,f3011]) ).
thf(f17044,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f17026,f54]) ).
thf(f17046,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_11
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f17043]) ).
thf(f17047,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f17044]) ).
thf(f17049,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f17046,f78]) ).
thf(f17050,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f17049]) ).
thf(f17051,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_11
| spl0_36 ),
inference(forward_subsumption_resolution,[],[f17047,f12054]) ).
thf(f17052,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| spl0_36 ),
inference(forward_subsumption_resolution,[],[f17051,f78]) ).
thf(f17053,plain,
( ~ spl0_3
| ~ spl0_11
| spl0_36 ),
inference(avatar_contradiction_clause,[],[f17052]) ).
thf(f17055,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f30,f74]) ).
thf(f17056,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f17055]) ).
thf(f17080,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_271
| ~ spl0_277 ),
inference(constrained_superposition,[],[f9919,f9743]) ).
thf(f17091,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_271
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f17080]) ).
thf(f17097,plain,
( spl0_385
| ~ spl0_271
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f17091,f9918,f9742,f16955]) ).
thf(f17135,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f195,f53]) ).
thf(f17139,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f17135]) ).
thf(f17152,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_338 ),
inference(constrained_superposition,[],[f30,f11305]) ).
thf(f17153,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f17152]) ).
thf(f17162,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f2813,f33]) ).
thf(f17172,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f17162]) ).
thf(f17195,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f251,f111]) ).
thf(f17199,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f17195]) ).
thf(f17226,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_143
| ~ spl0_250 ),
inference(constrained_superposition,[],[f4234,f9173]) ).
thf(f17227,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f14263,f9173]) ).
thf(f17230,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_143
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f17226]) ).
thf(f17231,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f17227]) ).
thf(f17234,plain,
( $false
| ~ spl0_143
| ~ spl0_250
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f17230,f11185]) ).
thf(f17235,plain,
( ~ spl0_143
| ~ spl0_250
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f17234]) ).
thf(f17237,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f30,f9737]) ).
thf(f17238,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f17237]) ).
thf(f17240,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f17231,f113]) ).
thf(f17241,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f17240]) ).
thf(f17242,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[],[f17241,f26]) ).
thf(f17277,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_356 ),
inference(constrained_superposition,[],[f29,f12085]) ).
thf(f17284,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f17277]) ).
thf(f17320,plain,
( spl0_110
| ~ spl0_16
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f17172,f2812,f244,f2805]) ).
thf(f17321,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_248
| ~ spl0_270 ),
inference(constrained_superposition,[],[f17238,f9166]) ).
thf(f17323,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_248 ),
inference(constrained_superposition,[],[f30,f9166]) ).
thf(f17324,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f17323]) ).
thf(f17325,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_248
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f17321]) ).
thf(f17329,plain,
( ~ spl0_67
| ~ spl0_248
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f17325,f9736,f9165,f1884]) ).
thf(f17345,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_97
| ~ spl0_250 ),
inference(constrained_superposition,[],[f17139,f17242]) ).
thf(f17355,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_97
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f17345]) ).
thf(f17364,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| spl0_57
| ~ spl0_97
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[],[f17355,f3144]) ).
thf(f17365,plain,
( ~ spl0_348
| ~ spl0_14
| spl0_57
| ~ spl0_97
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f17364,f9172,f2703,f1283,f194,f11914]) ).
thf(f17391,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f29,f9176]) ).
thf(f17393,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f17391]) ).
thf(f17491,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f17393,f33]) ).
thf(f17494,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f17393,f112]) ).
thf(f17495,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_251
| ~ spl0_271 ),
inference(constrained_superposition,[],[f17393,f9743]) ).
thf(f17496,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) )
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f17494]) ).
thf(f17498,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f17491]) ).
thf(f17501,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_251
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f17495]) ).
thf(f17502,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_67
| ~ spl0_78 ),
inference(constrained_superposition,[],[f7458,f2142]) ).
thf(f17506,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_67
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f17502]) ).
thf(f17509,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_67
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f17506,f26]) ).
thf(f17511,plain,
( spl0_77
| spl0_67
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f17509,f2141,f1884,f2071]) ).
thf(f17571,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_57
| ~ spl0_317 ),
inference(constrained_superposition,[],[f3144,f10838]) ).
thf(f17573,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_57
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f17571]) ).
thf(f17579,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_50
| spl0_57
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f17573,f11146]) ).
thf(f17581,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_50
| spl0_57
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f17579,f26]) ).
thf(f17583,plain,
( spl0_74
| spl0_50
| spl0_57
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f17581,f10837,f1283,f1258,f2008]) ).
thf(f17886,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f16904,f28]) ).
thf(f17888,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f17886]) ).
thf(f17890,plain,
( spl0_203
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f17888,f896,f6565]) ).
thf(f17896,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_231
| ~ spl0_319 ),
inference(constrained_superposition,[],[f12744,f10854]) ).
thf(f17906,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_53
| ~ spl0_319 ),
inference(constrained_superposition,[],[f16870,f10854]) ).
thf(f17914,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_231
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f17896]) ).
thf(f17917,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_53
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f17906]) ).
thf(f17922,plain,
( $false
| spl0_50
| spl0_231
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[],[f17914,f11146]) ).
thf(f17923,plain,
( spl0_50
| spl0_231
| ~ spl0_319 ),
inference(avatar_contradiction_clause,[],[f17922]) ).
thf(f17924,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_23
| ~ spl0_53
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[],[f17917,f3011]) ).
thf(f17925,plain,
( $false
| ~ spl0_23
| spl0_50
| ~ spl0_53
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[],[f17924,f11146]) ).
thf(f17926,plain,
( ~ spl0_23
| spl0_50
| ~ spl0_53
| ~ spl0_319 ),
inference(avatar_contradiction_clause,[],[f17925]) ).
thf(f17927,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_208
| spl0_231 ),
inference(constrained_superposition,[],[f12744,f6685]) ).
thf(f17934,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_208
| ~ spl0_338 ),
inference(constrained_superposition,[],[f17153,f6685]) ).
thf(f17940,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_208
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f17934]) ).
thf(f17945,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_208
| spl0_231 ),
inference(trivial_inequality_removal,[],[f17927]) ).
thf(f17953,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_23
| ~ spl0_208
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f17940,f3011]) ).
thf(f17956,plain,
( $false
| spl0_64
| ~ spl0_208
| spl0_231 ),
inference(forward_subsumption_resolution,[],[f17945,f3142]) ).
thf(f17957,plain,
( spl0_64
| ~ spl0_208
| spl0_231 ),
inference(avatar_contradiction_clause,[],[f17956]) ).
thf(f17961,plain,
( spl0_335
| ~ spl0_23
| ~ spl0_208
| ~ spl0_338 ),
inference(avatar_split_clause,[],[f17953,f11304,f6684,f384,f11184]) ).
thf(f18084,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_77 ),
inference(avatar_component_clause,[],[f2071]) ).
thf(f18092,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_25
| spl0_77 ),
inference(extensionality_resolution,[],[f821,f18084]) ).
thf(f18096,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_77 ),
inference(extensionality_resolution,[],[f113,f18084]) ).
thf(f18097,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_77 ),
inference(extensionality_resolution,[],[f113,f18084]) ).
thf(f18098,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_77 ),
inference(extensionality_resolution,[],[f55,f18084]) ).
thf(f18099,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_77 ),
inference(extensionality_resolution,[],[f55,f18084]) ).
thf(f18100,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_77 ),
inference(extensionality_resolution,[],[f35,f18084]) ).
thf(f18101,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_77 ),
inference(extensionality_resolution,[],[f35,f18084]) ).
thf(f18106,definition,
( spl0_389
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_389])],[avatar_definition]) ).
thf(f18107,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_389 ),
inference(avatar_component_clause,[],[f18106]) ).
thf(f18109,definition,
( spl0_390
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_390])],[avatar_definition]) ).
thf(f18110,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_390 ),
inference(avatar_component_clause,[],[f18109]) ).
thf(f18111,plain,
( spl0_389
| spl0_390
| spl0_77 ),
inference(avatar_split_clause,[],[f18096,f2071,f18109,f18106]) ).
thf(f18113,definition,
( spl0_391
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_391])],[avatar_definition]) ).
thf(f18114,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_391 ),
inference(avatar_component_clause,[],[f18113]) ).
thf(f18116,definition,
( spl0_392
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_392])],[avatar_definition]) ).
thf(f18117,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_392 ),
inference(avatar_component_clause,[],[f18116]) ).
thf(f18118,plain,
( spl0_391
| spl0_392
| spl0_77 ),
inference(avatar_split_clause,[],[f18100,f2071,f18116,f18113]) ).
thf(f18120,definition,
( spl0_393
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_393])],[avatar_definition]) ).
thf(f18121,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_393 ),
inference(avatar_component_clause,[],[f18120]) ).
thf(f18123,definition,
( spl0_394
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_394])],[avatar_definition]) ).
thf(f18124,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_394 ),
inference(avatar_component_clause,[],[f18123]) ).
thf(f18125,plain,
( spl0_393
| spl0_394
| spl0_77 ),
inference(avatar_split_clause,[],[f18099,f2071,f18123,f18120]) ).
thf(f18127,definition,
( spl0_395
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_395])],[avatar_definition]) ).
thf(f18128,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_395 ),
inference(avatar_component_clause,[],[f18127]) ).
thf(f18130,definition,
( spl0_396
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_396])],[avatar_definition]) ).
thf(f18131,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_396 ),
inference(avatar_component_clause,[],[f18130]) ).
thf(f18132,plain,
( spl0_395
| spl0_396
| spl0_77 ),
inference(avatar_split_clause,[],[f18098,f2071,f18130,f18127]) ).
thf(f18134,definition,
( spl0_397
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_397])],[avatar_definition]) ).
thf(f18135,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_397 ),
inference(avatar_component_clause,[],[f18134]) ).
thf(f18137,definition,
( spl0_398
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_398])],[avatar_definition]) ).
thf(f18138,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_398 ),
inference(avatar_component_clause,[],[f18137]) ).
thf(f18139,plain,
( spl0_397
| spl0_398
| spl0_77 ),
inference(avatar_split_clause,[],[f18101,f2071,f18137,f18134]) ).
thf(f18141,definition,
( spl0_399
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_399])],[avatar_definition]) ).
thf(f18142,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_399 ),
inference(avatar_component_clause,[],[f18141]) ).
thf(f18144,definition,
( spl0_400
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_400])],[avatar_definition]) ).
thf(f18145,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_400 ),
inference(avatar_component_clause,[],[f18144]) ).
thf(f18146,plain,
( spl0_399
| spl0_400
| spl0_77 ),
inference(avatar_split_clause,[],[f18097,f2071,f18144,f18141]) ).
thf(f18147,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_25
| spl0_77
| spl0_113 ),
inference(forward_subsumption_resolution,[],[f18092,f5059]) ).
thf(f18148,plain,
( ~ spl0_13
| ~ spl0_328
| ~ spl0_25
| spl0_77
| spl0_113 ),
inference(avatar_split_clause,[],[f18147,f2815,f2071,f820,f10903,f167]) ).
thf(f18152,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_18
| ~ spl0_391 ),
inference(constrained_superposition,[],[f17199,f18114]) ).
thf(f18163,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_18
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f18152]) ).
thf(f18171,plain,
( ~ spl0_140
| spl0_355
| ~ spl0_18
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f18163,f18113,f250,f12079,f4211]) ).
thf(f18174,definition,
( spl0_401
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_401])],[avatar_definition]) ).
thf(f18175,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) )
| ~ spl0_401 ),
inference(avatar_component_clause,[],[f18174]) ).
thf(f18228,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f30,f11185]) ).
thf(f18231,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f18228]) ).
thf(f18308,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_354
| ~ spl0_395 ),
inference(constrained_superposition,[],[f16315,f18128]) ).
thf(f18317,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_354
| ~ spl0_395 ),
inference(trivial_inequality_removal,[],[f18308]) ).
thf(f18327,plain,
( spl0_69
| ~ spl0_73
| ~ spl0_354
| ~ spl0_395 ),
inference(avatar_split_clause,[],[f18317,f18127,f12074,f1997,f1981]) ).
thf(f18338,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_253
| ~ spl0_396 ),
inference(constrained_superposition,[],[f16404,f18131]) ).
thf(f18339,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_345
| ~ spl0_396 ),
inference(constrained_superposition,[],[f16282,f18131]) ).
thf(f18344,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_345
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f18339]) ).
thf(f18345,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f18338]) ).
thf(f18346,plain,
( $false
| ~ spl0_97
| ~ spl0_253
| ~ spl0_396 ),
inference(forward_subsumption_resolution,[],[f18345,f10664]) ).
thf(f18347,plain,
( ~ spl0_97
| ~ spl0_253
| ~ spl0_396 ),
inference(avatar_contradiction_clause,[],[f18346]) ).
thf(f18377,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_252
| ~ spl0_354 ),
inference(constrained_superposition,[],[f16315,f9180]) ).
thf(f18387,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_252
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f18377]) ).
thf(f18398,plain,
( spl0_139
| ~ spl0_55
| ~ spl0_252
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f18387,f12074,f9179,f1275,f4207]) ).
thf(f18411,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_248
| ~ spl0_389 ),
inference(constrained_superposition,[],[f17324,f18107]) ).
thf(f18413,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_270
| ~ spl0_389 ),
inference(constrained_superposition,[],[f17238,f18107]) ).
thf(f18416,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_270
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f18413]) ).
thf(f18419,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_248
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f18411]) ).
thf(f18423,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_248
| ~ spl0_389 ),
inference(constrained_superposition,[],[f18419,f113]) ).
thf(f18424,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_248
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f18423]) ).
thf(f18426,definition,
( spl0_404
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_404])],[avatar_definition]) ).
thf(f18427,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_404 ),
inference(avatar_component_clause,[],[f18426]) ).
thf(f18428,plain,
( spl0_404
| spl0_22
| ~ spl0_248
| ~ spl0_389 ),
inference(avatar_split_clause,[],[f18424,f18106,f9165,f281,f18426]) ).
thf(f18430,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_404 ),
inference(constrained_superposition,[],[f824,f18427]) ).
thf(f18431,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_254
| ~ spl0_404 ),
inference(constrained_superposition,[],[f9187,f18427]) ).
thf(f18432,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_18
| ~ spl0_404 ),
inference(constrained_superposition,[],[f17199,f18427]) ).
thf(f18440,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_254
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f18431]) ).
thf(f18443,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_18
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f18432]) ).
thf(f18448,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f18430]) ).
thf(f18450,plain,
( ~ spl0_377
| spl0_374
| ~ spl0_254
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f18440,f18426,f9186,f13299,f13314]) ).
thf(f18456,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_18
| ~ spl0_53
| ~ spl0_97
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f18443,f16970]) ).
thf(f18460,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_270
| ~ spl0_389
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f18448,f18416]) ).
thf(f18463,plain,
( ~ spl0_375
| ~ spl0_18
| ~ spl0_53
| ~ spl0_97
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f18456,f18426,f2703,f1268,f250,f13302]) ).
thf(f18467,plain,
( ~ spl0_70
| ~ spl0_26
| ~ spl0_270
| ~ spl0_389
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f18460,f18426,f18106,f9736,f823,f1985]) ).
thf(f18470,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_390 ),
inference(constrained_superposition,[],[f824,f18110]) ).
thf(f18472,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_385
| ~ spl0_390 ),
inference(constrained_superposition,[],[f16956,f18110]) ).
thf(f18485,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_385
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f18472]) ).
thf(f18486,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f18470]) ).
thf(f18494,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_404 ),
inference(avatar_component_clause,[],[f18426]) ).
thf(f18497,plain,
( ~ spl0_377
| ~ spl0_385
| ~ spl0_390 ),
inference(avatar_split_clause,[],[f18485,f18109,f16955,f13314]) ).
thf(f18498,plain,
( ~ spl0_278
| spl0_358
| ~ spl0_26
| ~ spl0_390 ),
inference(avatar_split_clause,[],[f18486,f18109,f823,f12111,f9921]) ).
thf(f18515,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_3
| ~ spl0_378 ),
inference(constrained_superposition,[],[f16835,f13326]) ).
thf(f18518,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_3
| ~ spl0_378 ),
inference(trivial_inequality_removal,[],[f18515]) ).
thf(f18527,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_404 ),
inference(constrained_superposition,[],[f18494,f55]) ).
thf(f18532,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_404 ),
inference(trivial_inequality_removal,[],[f18527]) ).
thf(f18537,definition,
( spl0_408
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_408])],[avatar_definition]) ).
thf(f18538,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_408 ),
inference(avatar_component_clause,[],[f18537]) ).
thf(f18541,plain,
( spl0_83
| spl0_408
| spl0_404 ),
inference(avatar_split_clause,[],[f18532,f18426,f18537,f2228]) ).
thf(f18544,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_408 ),
inference(constrained_superposition,[],[f14263,f18538]) ).
thf(f18547,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f18544]) ).
thf(f18551,plain,
( $false
| ~ spl0_97
| ~ spl0_398
| ~ spl0_408 ),
inference(forward_subsumption_resolution,[],[f18547,f18138]) ).
thf(f18552,plain,
( ~ spl0_97
| ~ spl0_398
| ~ spl0_408 ),
inference(avatar_contradiction_clause,[],[f18551]) ).
thf(f18559,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_404 ),
inference(constrained_superposition,[],[f824,f18427]) ).
thf(f18575,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f18559]) ).
thf(f18581,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_3
| ~ spl0_26
| ~ spl0_378
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f18575,f18518]) ).
thf(f18586,plain,
( ~ spl0_70
| ~ spl0_3
| ~ spl0_26
| ~ spl0_378
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f18581,f18426,f13325,f823,f77,f1985]) ).
thf(f18588,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f3693,f16835]) ).
thf(f18622,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_138 ),
inference(constrained_superposition,[],[f18588,f140]) ).
thf(f18623,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f18622]) ).
thf(f18624,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| spl0_77
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f18623,f18084]) ).
thf(f18625,plain,
( ~ spl0_3
| ~ spl0_9
| spl0_77
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f18624]) ).
thf(f18627,plain,
( spl0_270
| ~ spl0_328
| spl0_6
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f17498,f9175,f99,f10903,f9736]) ).
thf(f18633,definition,
( spl0_409
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_409])],[avatar_definition]) ).
thf(f18634,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f18633]) ).
thf(f18639,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f100,f34]) ).
thf(f18641,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f18639]) ).
thf(f18644,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f30,f12080]) ).
thf(f18646,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f18644]) ).
thf(f18689,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_397 ),
inference(constrained_superposition,[],[f824,f18135]) ).
thf(f18690,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_223
| ~ spl0_397 ),
inference(constrained_superposition,[],[f6826,f18135]) ).
thf(f18691,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_200
| ~ spl0_397 ),
inference(constrained_superposition,[],[f6369,f18135]) ).
thf(f18702,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_223
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f18690]) ).
thf(f18706,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_200
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f18691]) ).
thf(f18710,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f18689]) ).
thf(f18713,plain,
( $false
| ~ spl0_223
| ~ spl0_356
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f18702,f12085]) ).
thf(f18714,plain,
( ~ spl0_223
| ~ spl0_356
| ~ spl0_397 ),
inference(avatar_contradiction_clause,[],[f18713]) ).
thf(f18717,plain,
( ~ spl0_160
| ~ spl0_200
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f18706,f18134,f6368,f5126]) ).
thf(f18719,plain,
( ~ spl0_84
| spl0_358
| ~ spl0_26
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f18710,f18134,f823,f12111,f2649]) ).
thf(f18723,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_53
| ~ spl0_398 ),
inference(constrained_superposition,[],[f16870,f18138]) ).
thf(f18728,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_53
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f18723]) ).
thf(f18729,plain,
( $false
| ~ spl0_53
| ~ spl0_355
| ~ spl0_398 ),
inference(forward_subsumption_resolution,[],[f18728,f12080]) ).
thf(f18730,plain,
( ~ spl0_53
| ~ spl0_355
| ~ spl0_398 ),
inference(avatar_contradiction_clause,[],[f18729]) ).
thf(f18780,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_6
| ~ spl0_251 ),
inference(constrained_superposition,[],[f18641,f9176]) ).
thf(f18788,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_6
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f18780]) ).
thf(f18837,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_404 ),
inference(constrained_superposition,[],[f824,f18427]) ).
thf(f18841,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_404 ),
inference(constrained_superposition,[],[f18641,f18427]) ).
thf(f18847,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f18841]) ).
thf(f18849,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f18837]) ).
thf(f18892,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_355
| ~ spl0_392 ),
inference(constrained_superposition,[],[f18646,f18117]) ).
thf(f18898,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_355
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f18892]) ).
thf(f18899,plain,
( $false
| ~ spl0_56
| ~ spl0_355
| ~ spl0_392 ),
inference(forward_subsumption_resolution,[],[f18898,f1280]) ).
thf(f18900,plain,
( ~ spl0_56
| ~ spl0_355
| ~ spl0_392 ),
inference(avatar_contradiction_clause,[],[f18899]) ).
thf(f18903,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_372
| ~ spl0_391 ),
inference(constrained_superposition,[],[f13181,f18114]) ).
thf(f18904,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_356
| ~ spl0_391 ),
inference(constrained_superposition,[],[f17284,f18114]) ).
thf(f18916,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_356
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f18904]) ).
thf(f18917,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_372
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f18903]) ).
thf(f18926,plain,
( ~ spl0_55
| spl0_139
| ~ spl0_356
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f18916,f18113,f12084,f4207,f1275]) ).
thf(f18927,plain,
( $false
| ~ spl0_210
| ~ spl0_372
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f18917,f6693]) ).
thf(f18928,plain,
( ~ spl0_210
| ~ spl0_372
| ~ spl0_391 ),
inference(avatar_contradiction_clause,[],[f18927]) ).
thf(f18938,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_392 ),
inference(constrained_superposition,[],[f30,f18117]) ).
thf(f18941,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f18938]) ).
thf(f18946,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_370 ),
inference(constrained_superposition,[],[f12965,f112]) ).
thf(f18949,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f18946]) ).
thf(f18961,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_382 ),
inference(constrained_superposition,[],[f14624,f33]) ).
thf(f18968,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f18961]) ).
thf(f18996,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_335
| ~ spl0_389 ),
inference(constrained_superposition,[],[f18231,f18107]) ).
thf(f19001,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_335
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f18996]) ).
thf(f19004,plain,
( $false
| ~ spl0_335
| ~ spl0_358
| ~ spl0_389 ),
inference(forward_subsumption_resolution,[],[f19001,f12112]) ).
thf(f19005,plain,
( ~ spl0_335
| ~ spl0_358
| ~ spl0_389 ),
inference(avatar_contradiction_clause,[],[f19004]) ).
thf(f19008,plain,
( ~ spl0_70
| spl0_358
| ~ spl0_26
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f18849,f18426,f823,f12111,f1985]) ).
thf(f19014,plain,
( ~ spl0_67
| ~ spl0_345
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f18344,f18130,f11689,f1884]) ).
thf(f19015,plain,
( spl0_67
| ~ spl0_278
| ~ spl0_6
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f18788,f9175,f99,f9921,f1884]) ).
thf(f19019,plain,
( ~ spl0_16
| spl0_338
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f18949,f12964,f11304,f244]) ).
thf(f19020,plain,
( ~ spl0_346
| spl0_18
| spl0_338
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f17496,f9175,f11304,f250,f11830]) ).
thf(f19029,plain,
( spl0_14
| ~ spl0_241
| ~ spl0_251
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f17501,f9742,f9175,f8453,f194]) ).
thf(f19031,plain,
( ~ spl0_160
| spl0_67
| ~ spl0_6
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f18847,f18426,f99,f1884,f5126]) ).
thf(f19057,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f107,f2806]) ).
thf(f19060,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f19057]) ).
thf(f19061,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f19060,f74]) ).
thf(f19062,plain,
( spl0_241
| ~ spl0_2
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f19061,f2805,f73,f8453]) ).
thf(f19068,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_241 ),
inference(constrained_superposition,[],[f48,f8454]) ).
thf(f19069,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_241 ),
inference(constrained_superposition,[],[f41,f8454]) ).
thf(f19074,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f19069]) ).
thf(f19075,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f19068]) ).
thf(f19090,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f30,f2069]) ).
thf(f19092,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f19090]) ).
thf(f19127,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_285
| ~ spl0_392 ),
inference(constrained_superposition,[],[f18941,f10051]) ).
thf(f19132,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_285
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f19127]) ).
thf(f19135,plain,
( $false
| ~ spl0_53
| ~ spl0_285
| ~ spl0_392 ),
inference(forward_subsumption_resolution,[],[f19132,f1269]) ).
thf(f19136,plain,
( ~ spl0_53
| ~ spl0_285
| ~ spl0_392 ),
inference(avatar_contradiction_clause,[],[f19135]) ).
thf(f19137,plain,
( spl0_151
| ~ spl0_16
| ~ spl0_382 ),
inference(avatar_split_clause,[],[f18968,f14623,f244,f5054]) ).
thf(f19192,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_3
| ~ spl0_276 ),
inference(constrained_superposition,[],[f16835,f9873]) ).
thf(f19193,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_276 ),
inference(constrained_superposition,[],[f30,f9873]) ).
thf(f19194,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_3
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f19192]) ).
thf(f19195,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f19193]) ).
thf(f19202,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_118
| ~ spl0_391 ),
inference(constrained_superposition,[],[f2965,f18114]) ).
thf(f19203,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_391 ),
inference(constrained_superposition,[],[f824,f18114]) ).
thf(f19207,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_391 ),
inference(constrained_superposition,[],[f18641,f18114]) ).
thf(f19214,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f19207]) ).
thf(f19216,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f19203]) ).
thf(f19220,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_118
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f19202]) ).
thf(f19224,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_26
| spl0_64
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f19216,f3142]) ).
thf(f19227,plain,
( spl0_151
| ~ spl0_118
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f19220,f18113,f2964,f5054]) ).
thf(f19229,plain,
( ~ spl0_160
| ~ spl0_26
| spl0_64
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f19224,f18113,f1821,f823,f5126]) ).
thf(f19231,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f16777,f74]) ).
thf(f19232,plain,
( spl0_358
| ~ spl0_84
| ~ spl0_6
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f19214,f18113,f99,f2649,f12111]) ).
thf(f19235,plain,
( spl0_354
| ~ spl0_2
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f19231,f9625,f73,f12074]) ).
thf(f19241,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_358 ),
inference(constrained_superposition,[],[f30,f12112]) ).
thf(f19242,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f19241]) ).
thf(f19247,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_223
| ~ spl0_229 ),
inference(constrained_superposition,[],[f6826,f7457]) ).
thf(f19256,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_223
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f19247]) ).
thf(f19257,plain,
( $false
| ~ spl0_223
| ~ spl0_229
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f19256,f8454]) ).
thf(f19258,plain,
( ~ spl0_223
| ~ spl0_229
| ~ spl0_241 ),
inference(avatar_contradiction_clause,[],[f19257]) ).
thf(f19260,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_392 ),
inference(constrained_superposition,[],[f30,f18117]) ).
thf(f19261,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f19260]) ).
thf(f19265,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_398 ),
inference(constrained_superposition,[],[f30,f18138]) ).
thf(f19267,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f19265]) ).
thf(f19281,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_358 ),
inference(constrained_superposition,[],[f19242,f54]) ).
thf(f19286,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f19281]) ).
thf(f19287,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f19286,f78]) ).
thf(f19288,plain,
( spl0_356
| ~ spl0_3
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f19287,f12111,f77,f12084]) ).
thf(f19308,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f195,f53]) ).
thf(f19311,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f19308]) ).
thf(f19342,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_143
| ~ spl0_408 ),
inference(constrained_superposition,[],[f4234,f18538]) ).
thf(f19347,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_143
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f19342]) ).
thf(f19378,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f1990,f53]) ).
thf(f19387,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f19378]) ).
thf(f19390,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_71
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f19387,f9738]) ).
thf(f19391,plain,
( $false
| ~ spl0_71
| spl0_72
| ~ spl0_210 ),
inference(forward_subsumption_resolution,[],[f19390,f6693]) ).
thf(f19392,plain,
( ~ spl0_71
| spl0_72
| ~ spl0_210 ),
inference(avatar_contradiction_clause,[],[f19391]) ).
thf(f19430,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_276
| ~ spl0_389 ),
inference(constrained_superposition,[],[f19195,f18107]) ).
thf(f19433,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_276
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f19430]) ).
thf(f19436,plain,
( $false
| ~ spl0_276
| ~ spl0_378
| ~ spl0_389 ),
inference(forward_subsumption_resolution,[],[f19433,f13326]) ).
thf(f19437,plain,
( ~ spl0_276
| ~ spl0_378
| ~ spl0_389 ),
inference(avatar_contradiction_clause,[],[f19436]) ).
thf(f19444,plain,
( $false
| ~ spl0_143
| ~ spl0_358
| ~ spl0_408 ),
inference(forward_subsumption_resolution,[],[f19347,f12112]) ).
thf(f19445,plain,
( ~ spl0_143
| ~ spl0_358
| ~ spl0_408 ),
inference(avatar_contradiction_clause,[],[f19444]) ).
thf(f19536,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_251
| ~ spl0_390 ),
inference(constrained_superposition,[],[f17393,f18110]) ).
thf(f19540,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_390 ),
inference(constrained_superposition,[],[f18641,f18110]) ).
thf(f19542,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_390 ),
inference(constrained_superposition,[],[f41,f18110]) ).
thf(f19546,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) )
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f19542]) ).
thf(f19547,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f19540]) ).
thf(f19548,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_251
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f19536]) ).
thf(f19556,plain,
( spl0_374
| spl0_270
| ~ spl0_160
| ~ spl0_390 ),
inference(avatar_split_clause,[],[f19546,f18109,f5126,f9736,f13299]) ).
thf(f19557,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_276
| ~ spl0_390 ),
inference(forward_subsumption_resolution,[],[f19547,f19194]) ).
thf(f19558,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_251
| ~ spl0_390
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f19548,f18427]) ).
thf(f19563,plain,
( ~ spl0_160
| ~ spl0_3
| ~ spl0_6
| ~ spl0_276
| ~ spl0_390 ),
inference(avatar_split_clause,[],[f19557,f18109,f9872,f99,f77,f5126]) ).
thf(f19564,plain,
( spl0_374
| ~ spl0_251
| ~ spl0_390
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f19558,f18426,f18109,f9175,f13299]) ).
thf(f19570,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_392
| ~ spl0_399 ),
inference(constrained_superposition,[],[f19261,f18142]) ).
thf(f19575,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f19570]) ).
thf(f19577,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_392
| ~ spl0_399 ),
inference(constrained_superposition,[],[f19575,f113]) ).
thf(f19578,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f19577]) ).
thf(f19579,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f19578,f26]) ).
thf(f19580,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_392
| ~ spl0_399 ),
inference(constrained_superposition,[],[f824,f19579]) ).
thf(f19586,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_392
| ~ spl0_399 ),
inference(constrained_superposition,[],[f18641,f19579]) ).
thf(f19593,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_392
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f19580]) ).
thf(f19596,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_392
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f19586]) ).
thf(f19604,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_3
| ~ spl0_26
| ~ spl0_276
| ~ spl0_392
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f19593,f19194]) ).
thf(f19605,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_6
| spl0_64
| ~ spl0_392
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f19596,f3142]) ).
thf(f19609,plain,
( ~ spl0_84
| ~ spl0_3
| ~ spl0_26
| ~ spl0_276
| ~ spl0_392
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f19604,f18141,f18116,f9872,f823,f77,f2649]) ).
thf(f19610,plain,
( ~ spl0_278
| ~ spl0_6
| spl0_64
| ~ spl0_392
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f19605,f18141,f18116,f1821,f99,f9921]) ).
thf(f19614,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_372
| ~ spl0_400 ),
inference(constrained_superposition,[],[f13181,f18145]) ).
thf(f19633,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_372
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f19614]) ).
thf(f19640,plain,
( $false
| ~ spl0_271
| ~ spl0_372
| ~ spl0_400 ),
inference(forward_subsumption_resolution,[],[f19633,f9743]) ).
thf(f19641,plain,
( ~ spl0_271
| ~ spl0_372
| ~ spl0_400 ),
inference(avatar_contradiction_clause,[],[f19640]) ).
thf(f19652,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_382
| ~ spl0_391 ),
inference(constrained_superposition,[],[f14624,f18114]) ).
thf(f19667,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_382
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f19652]) ).
thf(f19711,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_151
| ~ spl0_398 ),
inference(constrained_superposition,[],[f19267,f5055]) ).
thf(f19714,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_151
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f19711]) ).
thf(f19716,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_389 ),
inference(constrained_superposition,[],[f107,f18107]) ).
thf(f19718,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f19716]) ).
thf(f19721,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_398
| ~ spl0_399 ),
inference(constrained_superposition,[],[f19267,f18142]) ).
thf(f19728,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_398
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f19721]) ).
thf(f19729,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_398
| ~ spl0_399 ),
inference(constrained_superposition,[],[f19728,f113]) ).
thf(f19730,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_398
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f19729]) ).
thf(f19731,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_398
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f19730,f26]) ).
thf(f19737,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_398
| ~ spl0_399 ),
inference(constrained_superposition,[],[f48,f19731]) ).
thf(f19738,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_398
| ~ spl0_399 ),
inference(constrained_superposition,[],[f41,f19731]) ).
thf(f19745,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_398
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f19738]) ).
thf(f19747,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_398
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f19737]) ).
thf(f19750,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| spl0_50
| ~ spl0_398
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f19745,f11146]) ).
thf(f19752,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| spl0_64
| ~ spl0_398
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f19747,f3142]) ).
thf(f19754,plain,
( ~ spl0_278
| spl0_277
| spl0_50
| ~ spl0_398
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f19750,f18141,f18137,f1258,f9918,f9921]) ).
thf(f19755,plain,
( spl0_277
| ~ spl0_278
| spl0_64
| ~ spl0_398
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f19752,f18141,f18137,f1821,f9921,f9918]) ).
thf(f19756,plain,
( ~ spl0_82
| ~ spl0_382
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f19667,f18113,f14623,f2213]) ).
thf(f19758,plain,
( ~ spl0_50
| ~ spl0_151
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f19714,f18137,f5054,f1258]) ).
thf(f19809,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_26
| ~ spl0_82 ),
inference(constrained_superposition,[],[f824,f7067]) ).
thf(f19820,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f19809]) ).
thf(f19832,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_26
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f19820,f17042]) ).
thf(f19834,plain,
( ~ spl0_84
| ~ spl0_3
| ~ spl0_9
| ~ spl0_26
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f19832,f2213,f823,f139,f77,f2649]) ).
thf(f19850,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f30,f5055]) ).
thf(f19851,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f19850]) ).
thf(f19858,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_392 ),
inference(constrained_superposition,[],[f30,f18117]) ).
thf(f19860,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f19858]) ).
thf(f19904,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_151
| ~ spl0_392 ),
inference(constrained_superposition,[],[f19851,f18117]) ).
thf(f19910,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_151
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f19904]) ).
thf(f19913,plain,
( $false
| ~ spl0_64
| ~ spl0_151
| ~ spl0_392 ),
inference(forward_subsumption_resolution,[],[f19910,f1822]) ).
thf(f19914,plain,
( ~ spl0_64
| ~ spl0_151
| ~ spl0_392 ),
inference(avatar_contradiction_clause,[],[f19913]) ).
thf(f19980,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(constrained_superposition,[],[f19860,f18142]) ).
thf(f19986,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f19980]) ).
thf(f19988,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(constrained_superposition,[],[f19986,f113]) ).
thf(f19989,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f19988]) ).
thf(f19990,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f19989,f26]) ).
thf(f19992,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(constrained_superposition,[],[f242,f19990]) ).
thf(f20006,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f19992]) ).
thf(f20009,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_53
| ~ spl0_392
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f20006,f2754]) ).
thf(f20011,plain,
( spl0_277
| ~ spl0_275
| spl0_53
| ~ spl0_392
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f20009,f18141,f18116,f1268,f9868,f9918]) ).
thf(f20012,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_93
| ~ spl0_398 ),
inference(constrained_superposition,[],[f2689,f18138]) ).
thf(f20014,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_398 ),
inference(constrained_superposition,[],[f30,f18138]) ).
thf(f20016,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f20014]) ).
thf(f20017,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_93
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f20012]) ).
thf(f20023,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_251 ),
inference(constrained_superposition,[],[f824,f9176]) ).
thf(f20031,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_26
| ~ spl0_241 ),
inference(constrained_superposition,[],[f824,f8454]) ).
thf(f20038,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f20023]) ).
thf(f20039,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f20031]) ).
thf(f20061,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_408 ),
inference(constrained_superposition,[],[f19092,f18538]) ).
thf(f20064,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_408 ),
inference(constrained_superposition,[],[f30,f18538]) ).
thf(f20067,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f20061]) ).
thf(f20068,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f20064]) ).
thf(f20104,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_383
| ~ spl0_391 ),
inference(constrained_superposition,[],[f14628,f18114]) ).
thf(f20106,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_391 ),
inference(constrained_superposition,[],[f128,f18114]) ).
thf(f20114,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_383
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f20104]) ).
thf(f20120,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f20106]) ).
thf(f20122,plain,
( ~ spl0_214
| ~ spl0_383
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f20114,f18113,f14627,f6710]) ).
thf(f20124,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_76
| ~ spl0_391
| ~ spl0_408 ),
inference(forward_subsumption_resolution,[],[f20120,f20067]) ).
thf(f20126,plain,
( ~ spl0_140
| spl0_139
| ~ spl0_76
| ~ spl0_391
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f20124,f18537,f18113,f2068,f4207,f4211]) ).
thf(f20129,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_285
| ~ spl0_398 ),
inference(constrained_superposition,[],[f20016,f10051]) ).
thf(f20132,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_285
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f20129]) ).
thf(f20133,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_398
| ~ spl0_399 ),
inference(constrained_superposition,[],[f20016,f18142]) ).
thf(f20135,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_399 ),
inference(constrained_superposition,[],[f107,f18142]) ).
thf(f20137,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_398
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f20133]) ).
thf(f20138,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f20135]) ).
thf(f20141,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_398
| ~ spl0_399 ),
inference(constrained_superposition,[],[f20137,f113]) ).
thf(f20142,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_398
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f20141]) ).
thf(f20143,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_398
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f20142,f26]) ).
thf(f20151,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X2 ) )
| ( $true != $true ) )
| ~ spl0_398
| ~ spl0_399 ),
inference(constrained_superposition,[],[f39,f20143]) ).
thf(f20160,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( X0 = X1 )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_398
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f20151]) ).
thf(f20164,plain,
( spl0_339
| spl0_59
| ~ spl0_398
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f20160,f18141,f18137,f1290,f11368]) ).
thf(f20166,plain,
( ~ spl0_53
| ~ spl0_285
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f20132,f18137,f10050,f1268]) ).
thf(f20227,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_391 ),
inference(constrained_superposition,[],[f19311,f18114]) ).
thf(f20249,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f20227]) ).
thf(f20253,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| spl0_378
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f20249,f14829]) ).
thf(f20256,plain,
( ~ spl0_55
| ~ spl0_14
| spl0_378
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f20253,f18113,f13325,f194,f1275]) ).
thf(f20257,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_276
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f20138,f9873]) ).
thf(f20259,plain,
( spl0_356
| ~ spl0_276
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f20257,f18141,f9872,f12084]) ).
thf(f20272,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_26
| ~ spl0_356 ),
inference(constrained_superposition,[],[f824,f12085]) ).
thf(f20276,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_356 ),
inference(constrained_superposition,[],[f48,f12085]) ).
thf(f20281,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f20276]) ).
thf(f20287,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f20272]) ).
thf(f20316,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_392
| ~ spl0_408 ),
inference(constrained_superposition,[],[f20068,f18117]) ).
thf(f20320,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_392
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f20316]) ).
thf(f20382,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_206
| ~ spl0_399 ),
inference(constrained_superposition,[],[f6675,f18142]) ).
thf(f20410,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_206
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f20382]) ).
thf(f20413,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_93
| ~ spl0_206
| ~ spl0_398
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f20410,f20017]) ).
thf(f20414,plain,
( $false
| ~ spl0_93
| ~ spl0_206
| ~ spl0_276
| ~ spl0_398
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f20413,f9873]) ).
thf(f20415,plain,
( ~ spl0_93
| ~ spl0_206
| ~ spl0_276
| ~ spl0_398
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f20414]) ).
thf(f20424,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_139
| ~ spl0_210 ),
inference(constrained_superposition,[],[f4208,f6693]) ).
thf(f20433,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_139
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f20424]) ).
thf(f20439,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_139
| ~ spl0_210
| ~ spl0_229 ),
inference(constrained_superposition,[],[f20433,f7457]) ).
thf(f20443,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_139
| ~ spl0_210
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f20439]) ).
thf(f20452,plain,
( ~ spl0_73
| ~ spl0_139
| ~ spl0_210
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f20443,f7456,f6692,f4207,f1997]) ).
thf(f20455,plain,
( ~ spl0_160
| spl0_3
| ~ spl0_26
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f20287,f12084,f823,f77,f5126]) ).
thf(f20457,plain,
( ~ spl0_148
| ~ spl0_392
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f20320,f18537,f18116,f5033]) ).
thf(f20459,plain,
( spl0_14
| spl0_358
| ~ spl0_15
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f20281,f12084,f197,f12111,f194]) ).
thf(f20460,plain,
( spl0_271
| ~ spl0_378
| ~ spl0_389 ),
inference(avatar_split_clause,[],[f19718,f18106,f13325,f9742]) ).
thf(f20462,plain,
( spl0_14
| spl0_110
| ~ spl0_15
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f19074,f8453,f197,f2805,f194]) ).
thf(f20468,plain,
( spl0_14
| spl0_67
| ~ spl0_15
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f19075,f8453,f197,f1884,f194]) ).
thf(f20470,plain,
( spl0_335
| ~ spl0_70
| ~ spl0_26
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f20038,f9175,f823,f1985,f11184]) ).
thf(f20471,plain,
( ~ spl0_70
| spl0_3
| ~ spl0_26
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f20039,f8453,f823,f77,f1985]) ).
thf(f20472,plain,
( spl0_14
| ~ spl0_36
| spl0_53
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f16857,f6692,f1268,f876,f194]) ).
thf(f20534,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_229
| ~ spl0_380 ),
inference(constrained_superposition,[],[f13509,f7457]) ).
thf(f20535,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f242,f7457]) ).
thf(f20536,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f128,f7457]) ).
thf(f20537,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f68,f7457]) ).
thf(f20538,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f48,f7457]) ).
thf(f20539,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f41,f7457]) ).
thf(f20542,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f20535]) ).
thf(f20544,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f20537]) ).
thf(f20546,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f20536]) ).
thf(f20547,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_229
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f20534]) ).
thf(f20548,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f20539]) ).
thf(f20549,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f20538]) ).
thf(f20553,plain,
( spl0_69
| spl0_56
| ~ spl0_68
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f20546,f7456,f1978,f1279,f1981]) ).
thf(f20554,plain,
( ~ spl0_73
| spl0_69
| ~ spl0_229
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f20547,f13508,f7456,f1981,f1997]) ).
thf(f20603,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_93
| ~ spl0_398 ),
inference(constrained_superposition,[],[f2689,f18138]) ).
thf(f20608,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_93
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f20603]) ).
thf(f20609,plain,
( $false
| ~ spl0_66
| ~ spl0_93
| ~ spl0_398 ),
inference(forward_subsumption_resolution,[],[f20608,f1882]) ).
thf(f20610,plain,
( ~ spl0_66
| ~ spl0_93
| ~ spl0_398 ),
inference(avatar_contradiction_clause,[],[f20609]) ).
thf(f20632,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_255 ),
inference(constrained_superposition,[],[f68,f9191]) ).
thf(f20641,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f20632]) ).
thf(f20646,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_57
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f20641,f3144]) ).
thf(f20651,plain,
( ~ spl0_363
| spl0_322
| spl0_57
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f20646,f9190,f1283,f10871,f12609]) ).
thf(f20669,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_111
| ~ spl0_404 ),
inference(constrained_superposition,[],[f2809,f18427]) ).
thf(f20670,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f242,f18427]) ).
thf(f20682,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_111
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f20669]) ).
thf(f20683,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f20670]) ).
thf(f20689,plain,
( ~ spl0_286
| ~ spl0_111
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f20682,f18426,f2808,f10053]) ).
thf(f20697,plain,
( spl0_64
| ~ spl0_70
| spl0_69
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f20549,f7456,f1981,f1985,f1821]) ).
thf(f20698,plain,
( ~ spl0_375
| spl0_374
| spl0_113
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f20683,f18426,f2815,f13299,f13302]) ).
thf(f20699,plain,
( ~ spl0_68
| spl0_53
| spl0_69
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f20542,f7456,f1981,f1268,f1978]) ).
thf(f20711,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f30,f1280]) ).
thf(f20714,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f20711]) ).
thf(f20737,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_380
| ~ spl0_397 ),
inference(constrained_superposition,[],[f13509,f18135]) ).
thf(f20749,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_380
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f20737]) ).
thf(f20755,plain,
( ~ spl0_377
| spl0_374
| ~ spl0_380
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f20749,f18134,f13508,f13299,f13314]) ).
thf(f20772,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_50
| ~ spl0_56 ),
inference(constrained_superposition,[],[f20714,f1259]) ).
thf(f20773,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_50
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f20772]) ).
thf(f20788,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_112
| ~ spl0_404 ),
inference(constrained_superposition,[],[f2813,f18427]) ).
thf(f20792,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f20788]) ).
thf(f20800,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_112
| ~ spl0_404 ),
inference(constrained_superposition,[],[f20792,f35]) ).
thf(f20801,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_112
| ~ spl0_404 ),
inference(constrained_superposition,[],[f20792,f28]) ).
thf(f20804,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_112
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f20800]) ).
thf(f20805,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_112
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f20801]) ).
thf(f20808,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_75
| ~ spl0_112
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f20804,f9135]) ).
thf(f20809,plain,
( spl0_379
| spl0_285
| ~ spl0_112
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f20805,f18426,f2812,f10050,f13344]) ).
thf(f20810,plain,
( spl0_285
| spl0_75
| ~ spl0_112
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f20808,f18426,f2812,f2039,f10050]) ).
thf(f20813,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f30,f10051]) ).
thf(f20814,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f20813]) ).
thf(f20858,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_285
| ~ spl0_392 ),
inference(constrained_superposition,[],[f20814,f18117]) ).
thf(f20862,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_285
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f20858]) ).
thf(f20867,plain,
( $false
| ~ spl0_56
| ~ spl0_285
| ~ spl0_392 ),
inference(forward_subsumption_resolution,[],[f20862,f1280]) ).
thf(f20868,plain,
( ~ spl0_56
| ~ spl0_285
| ~ spl0_392 ),
inference(avatar_contradiction_clause,[],[f20867]) ).
thf(f20897,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_53
| ~ spl0_93 ),
inference(constrained_superposition,[],[f2689,f1269]) ).
thf(f20900,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_53
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f20897]) ).
thf(f20905,plain,
( ( $true != $true )
| ~ spl0_54
| spl0_276 ),
inference(constrained_superposition,[],[f9958,f1273]) ).
thf(f20914,plain,
( $false
| ~ spl0_54
| spl0_276 ),
inference(trivial_inequality_removal,[],[f20905]) ).
thf(f20915,plain,
( ~ spl0_54
| spl0_276 ),
inference(avatar_contradiction_clause,[],[f20914]) ).
thf(f20918,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f30,f1994]) ).
thf(f20920,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f20918]) ).
thf(f20923,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_53
| ~ spl0_93
| ~ spl0_100 ),
inference(constrained_superposition,[],[f20900,f2722]) ).
thf(f20927,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_53
| ~ spl0_93
| ~ spl0_100 ),
inference(trivial_inequality_removal,[],[f20923]) ).
thf(f20930,plain,
( $false
| ~ spl0_53
| ~ spl0_93
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[],[f20927,f26]) ).
thf(f20931,plain,
( ~ spl0_53
| ~ spl0_93
| ~ spl0_100 ),
inference(avatar_contradiction_clause,[],[f20930]) ).
thf(f20963,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f30,f2816]) ).
thf(f20964,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f20963]) ).
thf(f21107,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_408 ),
inference(constrained_superposition,[],[f20920,f18538]) ).
thf(f21108,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_408 ),
inference(constrained_superposition,[],[f107,f18538]) ).
thf(f21110,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_72
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f21107]) ).
thf(f21112,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f21108]) ).
thf(f21116,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_113
| ~ spl0_408 ),
inference(constrained_superposition,[],[f20964,f18538]) ).
thf(f21119,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_113
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f21116]) ).
thf(f21125,plain,
( $false
| ~ spl0_113
| ~ spl0_355
| ~ spl0_408 ),
inference(forward_subsumption_resolution,[],[f21119,f12080]) ).
thf(f21126,plain,
( ~ spl0_113
| ~ spl0_355
| ~ spl0_408 ),
inference(avatar_contradiction_clause,[],[f21125]) ).
thf(f21129,plain,
( ~ spl0_11
| ~ spl0_50
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f20773,f1279,f1258,f146]) ).
thf(f21132,plain,
( ~ spl0_378
| spl0_241
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f21112,f18537,f8453,f13325]) ).
thf(f21135,plain,
( ~ spl0_378
| ~ spl0_72
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f21110,f18537,f1993,f13325]) ).
thf(f21145,plain,
( ~ spl0_73
| spl0_69
| spl0_57
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f20544,f7456,f1283,f1981,f1997]) ).
thf(f21146,plain,
( spl0_50
| spl0_69
| ~ spl0_70
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f20548,f7456,f1985,f1981,f1258]) ).
thf(f21161,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f30,f3011]) ).
thf(f21162,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f21161]) ).
thf(f21175,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f30,f1284]) ).
thf(f21177,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f21175]) ).
thf(f21258,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_269 ),
inference(constrained_superposition,[],[f30,f9626]) ).
thf(f21260,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f21258]) ).
thf(f21278,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_23
| ~ spl0_56 ),
inference(constrained_superposition,[],[f21162,f1280]) ).
thf(f21282,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_23
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f21278]) ).
thf(f21284,plain,
( $false
| ~ spl0_23
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f21282,f1284]) ).
thf(f21285,plain,
( ~ spl0_23
| ~ spl0_56
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f21284]) ).
thf(f21318,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_143
| ~ spl0_393 ),
inference(constrained_superposition,[],[f4234,f18121]) ).
thf(f21324,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_143
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f21318]) ).
thf(f21329,plain,
( $false
| ~ spl0_143
| ~ spl0_345
| ~ spl0_393 ),
inference(forward_subsumption_resolution,[],[f21324,f11690]) ).
thf(f21330,plain,
( ~ spl0_143
| ~ spl0_345
| ~ spl0_393 ),
inference(avatar_contradiction_clause,[],[f21329]) ).
thf(f21342,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_392 ),
inference(constrained_superposition,[],[f107,f18117]) ).
thf(f21345,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f21342]) ).
thf(f21346,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_57
| ~ spl0_392 ),
inference(forward_subsumption_resolution,[],[f21345,f1284]) ).
thf(f21347,plain,
( spl0_356
| ~ spl0_57
| ~ spl0_392 ),
inference(avatar_split_clause,[],[f21346,f18116,f1283,f12084]) ).
thf(f21496,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_57
| ~ spl0_398 ),
inference(constrained_superposition,[],[f21177,f18138]) ).
thf(f21502,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_57
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f21496]) ).
thf(f21506,plain,
( ~ spl0_378
| ~ spl0_57
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f21502,f18137,f1283,f13325]) ).
thf(f21534,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f195,f53]) ).
thf(f21536,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f21534]) ).
thf(f21558,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_255 ),
inference(constrained_superposition,[],[f128,f9191]) ).
thf(f21564,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f21558]) ).
thf(f21581,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_275 ),
inference(constrained_superposition,[],[f9869,f28]) ).
thf(f21585,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f21581]) ).
thf(f21588,plain,
( spl0_332
| spl0_334
| spl0_275 ),
inference(avatar_split_clause,[],[f21585,f9868,f11174,f11166]) ).
thf(f21606,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_143
| ~ spl0_408 ),
inference(constrained_superposition,[],[f4234,f18538]) ).
thf(f21608,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_408 ),
inference(constrained_superposition,[],[f30,f18538]) ).
thf(f21609,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f21608]) ).
thf(f21611,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_143
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f21606]) ).
thf(f21733,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f100,f34]) ).
thf(f21735,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f21733]) ).
thf(f21753,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_255 ),
inference(constrained_superposition,[],[f21735,f9191]) ).
thf(f21769,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f21753]) ).
thf(f21786,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_6
| spl0_64
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f21769,f3142]) ).
thf(f21788,plain,
( ~ spl0_321
| ~ spl0_6
| spl0_64
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f21786,f9190,f1821,f99,f10868]) ).
thf(f21842,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_376 ),
inference(constrained_superposition,[],[f13307,f53]) ).
thf(f21847,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f21842]) ).
thf(f21853,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_210
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f21847,f6693]) ).
thf(f21855,plain,
( $false
| ~ spl0_210
| ~ spl0_376
| spl0_378 ),
inference(forward_subsumption_resolution,[],[f21853,f14829]) ).
thf(f21856,plain,
( ~ spl0_210
| ~ spl0_376
| spl0_378 ),
inference(avatar_contradiction_clause,[],[f21855]) ).
thf(f21893,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_264
| ~ spl0_395 ),
inference(constrained_superposition,[],[f9573,f18128]) ).
thf(f21896,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_264
| ~ spl0_354 ),
inference(constrained_superposition,[],[f9573,f12075]) ).
thf(f21899,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_264
| ~ spl0_395 ),
inference(trivial_inequality_removal,[],[f21893]) ).
thf(f21902,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_264
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f21896]) ).
thf(f21905,plain,
( $false
| ~ spl0_229
| ~ spl0_264
| ~ spl0_395 ),
inference(forward_subsumption_resolution,[],[f21899,f7457]) ).
thf(f21906,plain,
( ~ spl0_229
| ~ spl0_264
| ~ spl0_395 ),
inference(avatar_contradiction_clause,[],[f21905]) ).
thf(f21907,plain,
( $false
| ~ spl0_210
| ~ spl0_264
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f21902,f6693]) ).
thf(f21908,plain,
( ~ spl0_210
| ~ spl0_264
| ~ spl0_354 ),
inference(avatar_contradiction_clause,[],[f21907]) ).
thf(f21926,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_151
| ~ spl0_408 ),
inference(constrained_superposition,[],[f21609,f5055]) ).
thf(f21928,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_151
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f21926]) ).
thf(f21931,plain,
( $false
| ~ spl0_110
| ~ spl0_151
| ~ spl0_408 ),
inference(forward_subsumption_resolution,[],[f21928,f2806]) ).
thf(f21932,plain,
( ~ spl0_110
| ~ spl0_151
| ~ spl0_408 ),
inference(avatar_contradiction_clause,[],[f21931]) ).
thf(f21933,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f2184,f17056]) ).
thf(f21942,plain,
( ( $true != $true )
| ~ spl0_65
| ~ spl0_143
| ~ spl0_408 ),
inference(constrained_superposition,[],[f21611,f1825]) ).
thf(f21945,plain,
( $false
| ~ spl0_65
| ~ spl0_143
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f21942]) ).
thf(f21946,plain,
( ~ spl0_65
| ~ spl0_143
| ~ spl0_408 ),
inference(avatar_contradiction_clause,[],[f21945]) ).
thf(f22031,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_143
| ~ spl0_250 ),
inference(constrained_superposition,[],[f4234,f9173]) ).
thf(f22035,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_143
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f22031]) ).
thf(f22040,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_206
| ~ spl0_392 ),
inference(constrained_superposition,[],[f6675,f18117]) ).
thf(f22057,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_206
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f22040]) ).
thf(f22070,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_143
| ~ spl0_206
| ~ spl0_392
| ~ spl0_408 ),
inference(forward_subsumption_resolution,[],[f22057,f21611]) ).
thf(f22072,plain,
( $false
| ~ spl0_57
| ~ spl0_143
| ~ spl0_206
| ~ spl0_392
| ~ spl0_408 ),
inference(forward_subsumption_resolution,[],[f22070,f1284]) ).
thf(f22073,plain,
( ~ spl0_57
| ~ spl0_143
| ~ spl0_206
| ~ spl0_392
| ~ spl0_408 ),
inference(avatar_contradiction_clause,[],[f22072]) ).
thf(f22076,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_399
| ~ spl0_408 ),
inference(constrained_superposition,[],[f21609,f18142]) ).
thf(f22082,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_399
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f22076]) ).
thf(f22084,plain,
( $false
| ~ spl0_250
| ~ spl0_399
| ~ spl0_408 ),
inference(forward_subsumption_resolution,[],[f22082,f9173]) ).
thf(f22085,plain,
( ~ spl0_250
| ~ spl0_399
| ~ spl0_408 ),
inference(avatar_contradiction_clause,[],[f22084]) ).
thf(f22086,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_400 ),
inference(constrained_superposition,[],[f824,f18145]) ).
thf(f22091,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_400 ),
inference(constrained_superposition,[],[f41,f18145]) ).
thf(f22094,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f22086]) ).
thf(f22097,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f22091]) ).
thf(f22102,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_143
| ~ spl0_250
| ~ spl0_400 ),
inference(forward_subsumption_resolution,[],[f22094,f22035]) ).
thf(f22104,plain,
( spl0_277
| ~ spl0_278
| spl0_151
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f22097,f18144,f5054,f9921,f9918]) ).
thf(f22109,plain,
( ~ spl0_160
| ~ spl0_26
| ~ spl0_143
| ~ spl0_250
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f22102,f18144,f9172,f4233,f823,f5126]) ).
thf(f22126,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f30,f147]) ).
thf(f22128,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f22126]) ).
thf(f22157,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_240 ),
inference(constrained_superposition,[],[f30,f8433]) ).
thf(f22158,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f22157]) ).
thf(f22167,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_81
| ~ spl0_276 ),
inference(constrained_superposition,[],[f21933,f9873]) ).
thf(f22170,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_81
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f22167]) ).
thf(f22173,plain,
( spl0_409
| ~ spl0_2
| ~ spl0_81
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f22170,f9872,f2183,f73,f18633]) ).
thf(f22177,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_240
| ~ spl0_250 ),
inference(constrained_superposition,[],[f22158,f9173]) ).
thf(f22179,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_110
| ~ spl0_240 ),
inference(constrained_superposition,[],[f22158,f2806]) ).
thf(f22183,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_240
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f22177]) ).
thf(f22184,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_110
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f22179]) ).
thf(f22186,plain,
( $false
| ~ spl0_240
| ~ spl0_250
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f22183,f9873]) ).
thf(f22187,plain,
( ~ spl0_240
| ~ spl0_250
| ~ spl0_276 ),
inference(avatar_contradiction_clause,[],[f22186]) ).
thf(f22188,plain,
( $false
| ~ spl0_2
| ~ spl0_110
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f22184,f74]) ).
thf(f22189,plain,
( ~ spl0_2
| ~ spl0_110
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[],[f22188]) ).
thf(f22193,plain,
( spl0_322
| ~ spl0_262
| spl0_56
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f21564,f9190,f1279,f9564,f10871]) ).
thf(f22194,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f30,f78]) ).
thf(f22195,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f22194]) ).
thf(f22209,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f48,f7067]) ).
thf(f22217,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f22209]) ).
thf(f22221,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_64
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f22217,f3142]) ).
thf(f22223,plain,
( ~ spl0_16
| spl0_18
| spl0_64
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f22221,f2213,f1821,f250,f244]) ).
thf(f22231,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_11
| ~ spl0_76 ),
inference(constrained_superposition,[],[f22128,f2069]) ).
thf(f22235,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_11
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f22231]) ).
thf(f22237,plain,
( $false
| ~ spl0_11
| ~ spl0_67
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f22235,f1885]) ).
thf(f22238,plain,
( ~ spl0_11
| ~ spl0_67
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f22237]) ).
thf(f22239,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_113
| ~ spl0_143 ),
inference(constrained_superposition,[],[f4234,f2816]) ).
thf(f22241,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f30,f2816]) ).
thf(f22243,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f22241]) ).
thf(f22244,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_113
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f22239]) ).
thf(f22247,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f30,f10051]) ).
thf(f22250,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f22247]) ).
thf(f22253,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f30,f11847]) ).
thf(f22256,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f22253]) ).
thf(f22291,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_255 ),
inference(constrained_superposition,[],[f824,f9191]) ).
thf(f22295,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_26
| ~ spl0_82 ),
inference(constrained_superposition,[],[f824,f7067]) ).
thf(f22309,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_26
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f22295]) ).
thf(f22317,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f22291]) ).
thf(f22319,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_82
| ~ spl0_113
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f22309,f22244]) ).
thf(f22320,plain,
( ~ spl0_84
| spl0_345
| ~ spl0_26
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f22317,f9190,f823,f11689,f2649]) ).
thf(f22321,plain,
( ~ spl0_84
| ~ spl0_26
| ~ spl0_82
| ~ spl0_113
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f22319,f4233,f2815,f2213,f823,f2649]) ).
thf(f22330,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f30,f1269]) ).
thf(f22333,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f22330]) ).
thf(f22365,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_391 ),
inference(constrained_superposition,[],[f68,f18114]) ).
thf(f22367,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_391 ),
inference(constrained_superposition,[],[f41,f18114]) ).
thf(f22370,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f22365]) ).
thf(f22371,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f22367]) ).
thf(f22388,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f41,f18135]) ).
thf(f22397,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f22388]) ).
thf(f22403,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f22333,f54]) ).
thf(f22408,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f22403]) ).
thf(f22416,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_53
| ~ spl0_256 ),
inference(constrained_superposition,[],[f22333,f9194]) ).
thf(f22422,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_53
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f22416]) ).
thf(f22427,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f128,f18427]) ).
thf(f22429,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f48,f18427]) ).
thf(f22434,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f22429]) ).
thf(f22435,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f22427]) ).
thf(f22443,plain,
( spl0_76
| ~ spl0_375
| spl0_374
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f22435,f18426,f13299,f13302,f2068]) ).
thf(f22446,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f22243,f54]) ).
thf(f22448,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_113
| ~ spl0_250 ),
inference(constrained_superposition,[],[f22243,f9173]) ).
thf(f22452,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f22446]) ).
thf(f22455,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_113
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f22448]) ).
thf(f22470,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_269
| ~ spl0_396 ),
inference(constrained_superposition,[],[f21260,f18131]) ).
thf(f22471,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_396 ),
inference(constrained_superposition,[],[f107,f18131]) ).
thf(f22473,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_269
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f22470]) ).
thf(f22474,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f22471]) ).
thf(f22476,plain,
( $false
| ~ spl0_67
| ~ spl0_269
| ~ spl0_396 ),
inference(forward_subsumption_resolution,[],[f22473,f1885]) ).
thf(f22477,plain,
( ~ spl0_67
| ~ spl0_269
| ~ spl0_396 ),
inference(avatar_contradiction_clause,[],[f22476]) ).
thf(f22489,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_151
| ~ spl0_285 ),
inference(constrained_superposition,[],[f22250,f5055]) ).
thf(f22490,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_151
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f22489]) ).
thf(f22496,plain,
( ~ spl0_11
| ~ spl0_151
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f22490,f10050,f5054,f146]) ).
thf(f22499,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_71
| ~ spl0_249 ),
inference(constrained_superposition,[],[f1990,f9169]) ).
thf(f22505,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_71
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f22499]) ).
thf(f22515,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_71
| ~ spl0_249 ),
inference(constrained_superposition,[],[f22505,f28]) ).
thf(f22518,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_71
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f22515]) ).
thf(f22520,definition,
( spl0_412
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_412])],[avatar_definition]) ).
thf(f22521,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_412 ),
inference(avatar_component_clause,[],[f22520]) ).
thf(f22524,plain,
( spl0_412
| spl0_409
| ~ spl0_71
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f22518,f9168,f1989,f18633,f22520]) ).
thf(f22536,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_148
| ~ spl0_393 ),
inference(constrained_superposition,[],[f22256,f18121]) ).
thf(f22538,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_113
| ~ spl0_148 ),
inference(constrained_superposition,[],[f22256,f2816]) ).
thf(f22539,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f22538]) ).
thf(f22542,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f22536]) ).
thf(f22545,plain,
( $false
| ~ spl0_53
| ~ spl0_113
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f22539,f1269]) ).
thf(f22546,plain,
( ~ spl0_53
| ~ spl0_113
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f22545]) ).
thf(f22547,plain,
( $false
| ~ spl0_148
| ~ spl0_256
| ~ spl0_393 ),
inference(forward_subsumption_resolution,[],[f22542,f9194]) ).
thf(f22548,plain,
( ~ spl0_148
| ~ spl0_256
| ~ spl0_393 ),
inference(avatar_contradiction_clause,[],[f22547]) ).
thf(f22551,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f107,f1280]) ).
thf(f22554,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f22551]) ).
thf(f22559,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(constrained_superposition,[],[f5034,f113]) ).
thf(f22560,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f22559]) ).
thf(f22561,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(forward_subsumption_resolution,[],[f22560,f26]) ).
thf(f22563,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(constrained_superposition,[],[f242,f22561]) ).
thf(f22564,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| spl0_148 ),
inference(constrained_superposition,[],[f128,f22561]) ).
thf(f22565,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(constrained_superposition,[],[f68,f22561]) ).
thf(f22566,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| spl0_148 ),
inference(constrained_superposition,[],[f48,f22561]) ).
thf(f22567,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_148 ),
inference(constrained_superposition,[],[f41,f22561]) ).
thf(f22571,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f22564]) ).
thf(f22572,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f22565]) ).
thf(f22573,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f22566]) ).
thf(f22575,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f22563]) ).
thf(f22577,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f22567]) ).
thf(f22578,plain,
( spl0_139
| spl0_76
| ~ spl0_140
| spl0_148 ),
inference(avatar_split_clause,[],[f22571,f5033,f4211,f2068,f4207]) ).
thf(f22616,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_248 ),
inference(constrained_superposition,[],[f107,f9166]) ).
thf(f22617,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_248 ),
inference(constrained_superposition,[],[f30,f9166]) ).
thf(f22619,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f22617]) ).
thf(f22620,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f22616]) ).
thf(f22623,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_376
| ~ spl0_404 ),
inference(constrained_superposition,[],[f13307,f18427]) ).
thf(f22633,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_376
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f22623]) ).
thf(f22637,plain,
( $false
| ~ spl0_229
| ~ spl0_376
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f22633,f7457]) ).
thf(f22638,plain,
( ~ spl0_229
| ~ spl0_376
| ~ spl0_404 ),
inference(avatar_contradiction_clause,[],[f22637]) ).
thf(f22639,plain,
( spl0_110
| spl0_139
| ~ spl0_84
| spl0_148 ),
inference(avatar_split_clause,[],[f22577,f5033,f2649,f4207,f2805]) ).
thf(f22640,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_107
| ~ spl0_143
| ~ spl0_250 ),
inference(constrained_superposition,[],[f22035,f2758]) ).
thf(f22642,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_107
| ~ spl0_113
| ~ spl0_143 ),
inference(constrained_superposition,[],[f22244,f2758]) ).
thf(f22645,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_107
| ~ spl0_143
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f22640]) ).
thf(f22647,plain,
( ( z
= ( s @ z ) )
| ~ spl0_107
| ~ spl0_113
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f22642]) ).
thf(f22650,plain,
( spl0_333
| ~ spl0_107
| ~ spl0_143
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f22645,f9172,f4233,f2757,f11170]) ).
thf(f22651,plain,
( $false
| ~ spl0_107
| ~ spl0_113
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f22647,f26]) ).
thf(f22652,plain,
( ~ spl0_107
| ~ spl0_113
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f22651]) ).
thf(f22675,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_285
| ~ spl0_399 ),
inference(constrained_superposition,[],[f22250,f18142]) ).
thf(f22678,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_399 ),
inference(constrained_superposition,[],[f30,f18142]) ).
thf(f22679,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f22678]) ).
thf(f22682,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_285
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f22675]) ).
thf(f22696,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_404 ),
inference(constrained_superposition,[],[f835,f18427]) ).
thf(f22711,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_29
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f22696]) ).
thf(f22717,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_29
| spl0_378
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f22711,f14829]) ).
thf(f22718,plain,
( ~ spl0_73
| ~ spl0_29
| spl0_378
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f22717,f18426,f13325,f834,f1997]) ).
thf(f22724,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_229 ),
inference(constrained_superposition,[],[f21536,f7457]) ).
thf(f22725,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_397 ),
inference(constrained_superposition,[],[f21536,f18135]) ).
thf(f22726,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_14
| ~ spl0_404 ),
inference(constrained_superposition,[],[f21536,f18427]) ).
thf(f22727,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_391 ),
inference(constrained_superposition,[],[f21536,f18114]) ).
thf(f22728,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_14
| spl0_148 ),
inference(constrained_superposition,[],[f21536,f22561]) ).
thf(f22737,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f22727]) ).
thf(f22740,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| spl0_148 ),
inference(trivial_inequality_removal,[],[f22728]) ).
thf(f22741,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f22725]) ).
thf(f22743,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f22726]) ).
thf(f22745,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f22724]) ).
thf(f22752,plain,
( spl0_72
| ~ spl0_377
| ~ spl0_14
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f22743,f18426,f194,f13314,f1993]) ).
thf(f22753,plain,
( ~ spl0_55
| spl0_72
| ~ spl0_14
| spl0_148 ),
inference(avatar_split_clause,[],[f22740,f5033,f194,f1993,f1275]) ).
thf(f22755,plain,
( ~ spl0_72
| spl0_271
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f22620,f9165,f9742,f1993]) ).
thf(f22756,plain,
( $false
| ~ spl0_113
| ~ spl0_250
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f11167,f22455]) ).
thf(f22757,plain,
( ~ spl0_113
| ~ spl0_250
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f22756]) ).
thf(f22760,plain,
( ~ spl0_160
| spl0_50
| spl0_374
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f22397,f18134,f13299,f1258,f5126]) ).
thf(f22761,plain,
( spl0_57
| ~ spl0_377
| ~ spl0_14
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f22741,f18134,f194,f13314,f1283]) ).
thf(f22762,plain,
( spl0_354
| ~ spl0_72
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f22474,f18130,f1993,f12074]) ).
thf(f22763,plain,
( ~ spl0_55
| spl0_139
| spl0_378
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f22370,f18113,f13325,f4207,f1275]) ).
thf(f22764,plain,
( spl0_67
| ~ spl0_84
| spl0_139
| spl0_148 ),
inference(avatar_split_clause,[],[f22573,f5033,f4207,f2649,f1884]) ).
thf(f22766,plain,
( spl0_139
| ~ spl0_84
| spl0_151
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f22371,f18113,f5054,f2649,f4207]) ).
thf(f22767,plain,
( ~ spl0_55
| spl0_139
| spl0_72
| spl0_148 ),
inference(avatar_split_clause,[],[f22572,f5033,f1993,f4207,f1275]) ).
thf(f22768,plain,
( spl0_378
| ~ spl0_55
| ~ spl0_14
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f22737,f18113,f194,f1275,f13325]) ).
thf(f22769,plain,
( spl0_374
| ~ spl0_160
| spl0_67
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f22434,f18426,f1884,f5126,f13299]) ).
thf(f22771,plain,
( ~ spl0_73
| spl0_57
| ~ spl0_14
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f22745,f7456,f194,f1283,f1997]) ).
thf(f22857,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_378 ),
inference(constrained_superposition,[],[f17056,f13326]) ).
thf(f22860,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_378 ),
inference(trivial_inequality_removal,[],[f22857]) ).
thf(f22862,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_93
| ~ spl0_256 ),
inference(constrained_superposition,[],[f2689,f9194]) ).
thf(f22870,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_93
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f22862]) ).
thf(f22877,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f30,f9737]) ).
thf(f22880,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f22877]) ).
thf(f22948,plain,
( $false
| ~ spl0_285
| ~ spl0_332
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f22682,f11167]) ).
thf(f22949,plain,
( ~ spl0_285
| ~ spl0_332
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f22948]) ).
thf(f23004,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_370
| ~ spl0_390 ),
inference(constrained_superposition,[],[f12965,f18110]) ).
thf(f23016,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_370
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f23004]) ).
thf(f23024,plain,
( ~ spl0_160
| ~ spl0_370
| ~ spl0_390 ),
inference(avatar_split_clause,[],[f23016,f18109,f12964,f5126]) ).
thf(f23103,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_248
| ~ spl0_338 ),
inference(constrained_superposition,[],[f22619,f11305]) ).
thf(f23108,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_248
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f23103]) ).
thf(f23110,plain,
( $false
| ~ spl0_113
| ~ spl0_248
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f23108,f2816]) ).
thf(f23111,plain,
( ~ spl0_113
| ~ spl0_248
| ~ spl0_338 ),
inference(avatar_contradiction_clause,[],[f23110]) ).
thf(f23125,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_248
| ~ spl0_399 ),
inference(constrained_superposition,[],[f22679,f9166]) ).
thf(f23129,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_248
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f23125]) ).
thf(f23132,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_248
| ~ spl0_399 ),
inference(constrained_superposition,[],[f23129,f113]) ).
thf(f23133,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_248
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f23132]) ).
thf(f23135,definition,
( spl0_414
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_414])],[avatar_definition]) ).
thf(f23136,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_414 ),
inference(avatar_component_clause,[],[f23135]) ).
thf(f23137,plain,
( spl0_22
| spl0_414
| ~ spl0_248
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f23133,f18141,f9165,f23135,f281]) ).
thf(f23139,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_383
| ~ spl0_414 ),
inference(constrained_superposition,[],[f14628,f23136]) ).
thf(f23144,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f48,f23136]) ).
thf(f23155,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f23144]) ).
thf(f23156,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_383
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f23139]) ).
thf(f23163,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_378
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f23155,f22860]) ).
thf(f23164,plain,
( ~ spl0_328
| ~ spl0_383
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f23156,f23135,f14627,f10903]) ).
thf(f23166,plain,
( ~ spl0_70
| spl0_69
| ~ spl0_2
| ~ spl0_378
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f23163,f23135,f13325,f73,f1981,f1985]) ).
thf(f23172,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_29
| ~ spl0_400 ),
inference(constrained_superposition,[],[f835,f18145]) ).
thf(f23173,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_383
| ~ spl0_400 ),
inference(constrained_superposition,[],[f14628,f18145]) ).
thf(f23176,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_400 ),
inference(constrained_superposition,[],[f21536,f18145]) ).
thf(f23185,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_383
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f23173]) ).
thf(f23186,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_29
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f23172]) ).
thf(f23187,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f23176]) ).
thf(f23193,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_383
| ~ spl0_400 ),
inference(constrained_superposition,[],[f23185,f33]) ).
thf(f23196,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_383
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f23193]) ).
thf(f23202,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_374
| ~ spl0_391 ),
inference(constrained_superposition,[],[f13300,f18114]) ).
thf(f23209,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_374
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f23202]) ).
thf(f23212,plain,
( spl0_401
| ~ spl0_374
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f23209,f18113,f13299,f18174]) ).
thf(f23215,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_80
| ~ spl0_93
| ~ spl0_256 ),
inference(constrained_superposition,[],[f22870,f2150]) ).
thf(f23218,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_80
| ~ spl0_93
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f23215]) ).
thf(f23222,plain,
( spl0_268
| spl0_333
| ~ spl0_80
| ~ spl0_93
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f23218,f9193,f2688,f2149,f11170,f9622]) ).
thf(f23230,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_400
| ~ spl0_401 ),
inference(constrained_superposition,[],[f18175,f18145]) ).
thf(f23239,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_400
| ~ spl0_401 ),
inference(trivial_inequality_removal,[],[f23230]) ).
thf(f23240,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_400
| ~ spl0_401 ),
inference(constrained_superposition,[],[f23239,f55]) ).
thf(f23245,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_400
| ~ spl0_401 ),
inference(trivial_inequality_removal,[],[f23240]) ).
thf(f23247,definition,
( spl0_416
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_416])],[avatar_definition]) ).
thf(f23248,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f23247]) ).
thf(f23251,plain,
( spl0_333
| spl0_416
| ~ spl0_400
| ~ spl0_401 ),
inference(avatar_split_clause,[],[f23245,f18174,f18144,f23247,f11170]) ).
thf(f23253,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_270
| ~ spl0_416 ),
inference(constrained_superposition,[],[f22880,f23248]) ).
thf(f23259,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_270
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f23253]) ).
thf(f23260,plain,
( $false
| ~ spl0_64
| ~ spl0_270
| ~ spl0_416 ),
inference(forward_subsumption_resolution,[],[f23259,f1822]) ).
thf(f23261,plain,
( ~ spl0_64
| ~ spl0_270
| ~ spl0_416 ),
inference(avatar_contradiction_clause,[],[f23260]) ).
thf(f23263,plain,
( spl0_270
| ~ spl0_383
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f23196,f18144,f14627,f9736]) ).
thf(f23265,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_29
| spl0_276
| ~ spl0_400 ),
inference(forward_subsumption_resolution,[],[f23186,f9958]) ).
thf(f23267,plain,
( ~ spl0_348
| spl0_378
| ~ spl0_14
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f23187,f18144,f194,f13325,f11914]) ).
thf(f23270,plain,
( ~ spl0_377
| ~ spl0_29
| spl0_276
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f23265,f18144,f9872,f834,f13314]) ).
thf(f23298,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_333 ),
inference(constrained_superposition,[],[f54,f11171]) ).
thf(f23366,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f23298,f24]) ).
thf(f23382,plain,
( $false
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f23366,f25]) ).
thf(f23383,plain,
~ spl0_333,
inference(avatar_contradiction_clause,[],[f23382]) ).
thf(f23406,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_392 ),
inference(constrained_superposition,[],[f30,f18117]) ).
thf(f23407,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f23406]) ).
thf(f23422,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_229 ),
inference(constrained_superposition,[],[f824,f7457]) ).
thf(f23423,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_26
| spl0_148 ),
inference(constrained_superposition,[],[f824,f22561]) ).
thf(f23433,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f23422]) ).
thf(f23434,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_26
| spl0_148 ),
inference(trivial_inequality_removal,[],[f23423]) ).
thf(f23446,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_338 ),
inference(constrained_superposition,[],[f30,f11305]) ).
thf(f23447,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f23446]) ).
thf(f23475,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_249 ),
inference(constrained_superposition,[],[f824,f9169]) ).
thf(f23476,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_249 ),
inference(constrained_superposition,[],[f242,f9169]) ).
thf(f23477,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_249 ),
inference(constrained_superposition,[],[f128,f9169]) ).
thf(f23479,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_249 ),
inference(constrained_superposition,[],[f68,f9169]) ).
thf(f23480,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) ) )
| ~ spl0_249 ),
inference(constrained_superposition,[],[f48,f9169]) ).
thf(f23485,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f23480]) ).
thf(f23486,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f23479]) ).
thf(f23487,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f23477]) ).
thf(f23488,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f23475]) ).
thf(f23490,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) )
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f23476]) ).
thf(f23494,plain,
( ~ spl0_68
| spl0_332
| spl0_69
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f23487,f9168,f1981,f11166,f1978]) ).
thf(f23549,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_392
| ~ spl0_399 ),
inference(constrained_superposition,[],[f23407,f18142]) ).
thf(f23553,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f23549]) ).
thf(f23555,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_392
| ~ spl0_399 ),
inference(constrained_superposition,[],[f23553,f113]) ).
thf(f23556,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f23555]) ).
thf(f23557,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f23556,f26]) ).
thf(f23562,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_392
| ~ spl0_399 ),
inference(constrained_superposition,[],[f21536,f23557]) ).
thf(f23563,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(constrained_superposition,[],[f68,f23557]) ).
thf(f23576,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_392
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f23563]) ).
thf(f23577,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_392
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f23562]) ).
thf(f23580,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| spl0_57
| ~ spl0_392
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f23576,f3144]) ).
thf(f23581,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| spl0_57
| ~ spl0_392
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f23577,f3144]) ).
thf(f23583,plain,
( spl0_277
| ~ spl0_348
| spl0_57
| ~ spl0_392
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f23580,f18141,f18116,f1283,f11914,f9918]) ).
thf(f23584,plain,
( ~ spl0_348
| ~ spl0_14
| spl0_57
| ~ spl0_392
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f23581,f18141,f18116,f1283,f194,f11914]) ).
thf(f23593,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_395 ),
inference(constrained_superposition,[],[f128,f18128]) ).
thf(f23602,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_395 ),
inference(trivial_inequality_removal,[],[f23593]) ).
thf(f23609,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_53
| ~ spl0_256
| ~ spl0_395 ),
inference(forward_subsumption_resolution,[],[f23602,f22422]) ).
thf(f23615,plain,
( ~ spl0_68
| spl0_69
| ~ spl0_53
| ~ spl0_256
| ~ spl0_395 ),
inference(avatar_split_clause,[],[f23609,f18127,f9193,f1268,f1981,f1978]) ).
thf(f23617,plain,
( spl0_241
| ~ spl0_23
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f22452,f2815,f384,f8453]) ).
thf(f23684,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_400 ),
inference(constrained_superposition,[],[f824,f18145]) ).
thf(f23687,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_400 ),
inference(constrained_superposition,[],[f68,f18145]) ).
thf(f23688,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_400 ),
inference(constrained_superposition,[],[f48,f18145]) ).
thf(f23689,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_400 ),
inference(constrained_superposition,[],[f41,f18145]) ).
thf(f23692,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f23687]) ).
thf(f23693,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f23688]) ).
thf(f23696,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f23689]) ).
thf(f23699,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f23684]) ).
thf(f23700,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_378
| ~ spl0_400 ),
inference(forward_subsumption_resolution,[],[f23692,f14829]) ).
thf(f23704,plain,
( spl0_277
| ~ spl0_348
| spl0_378
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f23700,f18144,f13325,f11914,f9918]) ).
thf(f23706,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_338 ),
inference(constrained_superposition,[],[f23447,f54]) ).
thf(f23714,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f23706]) ).
thf(f23726,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_139
| ~ spl0_229 ),
inference(constrained_superposition,[],[f4208,f7457]) ).
thf(f23735,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_139
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f23726]) ).
thf(f23756,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_139
| ~ spl0_229
| ~ spl0_241 ),
inference(constrained_superposition,[],[f23735,f8454]) ).
thf(f23760,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_139
| ~ spl0_229
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f23756]) ).
thf(f23764,plain,
( $false
| ~ spl0_139
| ~ spl0_210
| ~ spl0_229
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f23760,f6693]) ).
thf(f23765,plain,
( ~ spl0_139
| ~ spl0_210
| ~ spl0_229
| ~ spl0_241 ),
inference(avatar_contradiction_clause,[],[f23764]) ).
thf(f23766,plain,
( spl0_67
| ~ spl0_278
| ~ spl0_26
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f23488,f9168,f823,f9921,f1884]) ).
thf(f23767,plain,
( spl0_277
| spl0_358
| ~ spl0_278
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f23693,f18144,f9921,f12111,f9918]) ).
thf(f23769,plain,
( spl0_277
| ~ spl0_278
| spl0_151
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f23696,f18144,f5054,f9921,f9918]) ).
thf(f23770,plain,
( spl0_36
| ~ spl0_57
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f22554,f1279,f1283,f876]) ).
thf(f23771,plain,
( spl0_335
| ~ spl0_160
| ~ spl0_26
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f23699,f18144,f823,f5126,f11184]) ).
thf(f23773,plain,
( ~ spl0_84
| spl0_67
| ~ spl0_26
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f23433,f7456,f823,f1884,f2649]) ).
thf(f23774,plain,
( spl0_335
| ~ spl0_70
| spl0_69
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f23485,f9168,f1981,f1985,f11184]) ).
thf(f23775,plain,
( ~ spl0_23
| spl0_210
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f22408,f1268,f6692,f384]) ).
thf(f23776,plain,
( spl0_271
| ~ spl0_23
| ~ spl0_338 ),
inference(avatar_split_clause,[],[f23714,f11304,f384,f9742]) ).
thf(f23780,plain,
( spl0_276
| ~ spl0_73
| spl0_69
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f23486,f9168,f1981,f1997,f9872]) ).
thf(f23781,plain,
( ~ spl0_70
| spl0_64
| ~ spl0_26
| spl0_148 ),
inference(avatar_split_clause,[],[f23434,f5033,f823,f1821,f1985]) ).
thf(f23910,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f4234,f54]) ).
thf(f23916,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f23910]) ).
thf(f23954,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
!= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= X0 ) )
| ~ spl0_409 ),
inference(constrained_superposition,[],[f27,f18634]) ).
thf(f24010,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_391 ),
inference(constrained_superposition,[],[f48,f18114]) ).
thf(f24021,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f24010]) ).
thf(f24073,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_409 ),
inference(equality_resolution,[],[f23954]) ).
thf(f24074,plain,
( spl0_336
| ~ spl0_409 ),
inference(avatar_split_clause,[],[f24073,f18633,f11191]) ).
thf(f24112,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_252 ),
inference(constrained_superposition,[],[f242,f9180]) ).
thf(f24113,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_252 ),
inference(constrained_superposition,[],[f128,f9180]) ).
thf(f24116,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_252 ),
inference(constrained_superposition,[],[f48,f9180]) ).
thf(f24117,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_252 ),
inference(constrained_superposition,[],[f41,f9180]) ).
thf(f24122,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_252 ),
inference(trivial_inequality_removal,[],[f24113]) ).
thf(f24126,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_252 ),
inference(trivial_inequality_removal,[],[f24117]) ).
thf(f24127,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_252 ),
inference(trivial_inequality_removal,[],[f24112]) ).
thf(f24129,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_252 ),
inference(trivial_inequality_removal,[],[f24116]) ).
thf(f24183,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_372
| ~ spl0_400 ),
inference(constrained_superposition,[],[f13181,f18145]) ).
thf(f24188,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_372
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f24183]) ).
thf(f24195,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_372
| ~ spl0_400 ),
inference(constrained_superposition,[],[f24188,f35]) ).
thf(f24198,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_372
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f24195]) ).
thf(f24200,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_372
| ~ spl0_400 ),
inference(forward_subsumption_resolution,[],[f24198,f26]) ).
thf(f24201,plain,
( spl0_337
| ~ spl0_372
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f24200,f18144,f13180,f11255]) ).
thf(f24211,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_394 ),
inference(constrained_superposition,[],[f68,f18124]) ).
thf(f24222,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f24211]) ).
thf(f24230,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_395 ),
inference(constrained_superposition,[],[f242,f18128]) ).
thf(f24231,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_395 ),
inference(constrained_superposition,[],[f128,f18128]) ).
thf(f24240,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_395 ),
inference(trivial_inequality_removal,[],[f24231]) ).
thf(f24244,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_395 ),
inference(trivial_inequality_removal,[],[f24230]) ).
thf(f24250,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_338
| ~ spl0_416 ),
inference(constrained_superposition,[],[f23447,f23248]) ).
thf(f24253,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_338
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f24250]) ).
thf(f24256,plain,
( $false
| ~ spl0_56
| ~ spl0_338
| ~ spl0_416 ),
inference(forward_subsumption_resolution,[],[f24253,f1280]) ).
thf(f24257,plain,
( ~ spl0_56
| ~ spl0_338
| ~ spl0_416 ),
inference(avatar_contradiction_clause,[],[f24256]) ).
thf(f24284,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f68,f9176]) ).
thf(f24295,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f24284]) ).
thf(f24300,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) ) )
| spl0_72
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[],[f24295,f9738]) ).
thf(f24301,plain,
( ~ spl0_348
| spl0_277
| spl0_72
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f24300,f9175,f1993,f9918,f11914]) ).
thf(f24334,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_390 ),
inference(constrained_superposition,[],[f242,f18110]) ).
thf(f24336,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_390 ),
inference(constrained_superposition,[],[f68,f18110]) ).
thf(f24342,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f24336]) ).
thf(f24350,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f24334]) ).
thf(f24352,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| spl0_276
| ~ spl0_390 ),
inference(forward_subsumption_resolution,[],[f24342,f9958]) ).
thf(f24355,plain,
( spl0_374
| ~ spl0_377
| spl0_276
| ~ spl0_390 ),
inference(avatar_split_clause,[],[f24352,f18109,f9872,f13314,f13299]) ).
thf(f24369,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_69
| ~ spl0_251 ),
inference(constrained_superposition,[],[f1982,f9176]) ).
thf(f24371,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_69
| spl0_148 ),
inference(constrained_superposition,[],[f1982,f22561]) ).
thf(f24373,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_69
| ~ spl0_241 ),
inference(constrained_superposition,[],[f1982,f8454]) ).
thf(f24375,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_69
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f24369]) ).
thf(f24377,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_69
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f24373]) ).
thf(f24381,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_69
| spl0_148 ),
inference(trivial_inequality_removal,[],[f24371]) ).
thf(f24384,plain,
( spl0_279
| ~ spl0_69
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f24375,f9175,f1981,f9925]) ).
thf(f24385,plain,
( spl0_371
| ~ spl0_69
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f24377,f8453,f1981,f13124]) ).
thf(f24387,plain,
( spl0_347
| ~ spl0_69
| spl0_148 ),
inference(avatar_split_clause,[],[f24381,f5033,f1981,f11896]) ).
thf(f24401,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_371
| ~ spl0_394 ),
inference(constrained_superposition,[],[f13125,f18124]) ).
thf(f24403,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_371
| ~ spl0_404 ),
inference(constrained_superposition,[],[f13125,f18427]) ).
thf(f24407,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_371
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f24403]) ).
thf(f24408,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_371
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f24401]) ).
thf(f24417,plain,
( $false
| ~ spl0_356
| ~ spl0_371
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f24407,f12085]) ).
thf(f24418,plain,
( ~ spl0_356
| ~ spl0_371
| ~ spl0_404 ),
inference(avatar_contradiction_clause,[],[f24417]) ).
thf(f24419,plain,
( $false
| ~ spl0_354
| ~ spl0_371
| ~ spl0_394 ),
inference(forward_subsumption_resolution,[],[f24408,f12075]) ).
thf(f24420,plain,
( ~ spl0_354
| ~ spl0_371
| ~ spl0_394 ),
inference(avatar_contradiction_clause,[],[f24419]) ).
thf(f24421,plain,
( ~ spl0_375
| spl0_374
| spl0_338
| ~ spl0_390 ),
inference(avatar_split_clause,[],[f24350,f18109,f11304,f13299,f13302]) ).
thf(f24422,plain,
( spl0_322
| spl0_72
| ~ spl0_363
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f24222,f18123,f12609,f1993,f10871]) ).
thf(f24423,plain,
( ~ spl0_68
| spl0_69
| spl0_338
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f23490,f9168,f11304,f1981,f1978]) ).
thf(f24429,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_72 ),
inference(constrained_superposition,[],[f22195,f1994]) ).
thf(f24432,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_3
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f24429]) ).
thf(f24433,plain,
( $false
| ~ spl0_3
| ~ spl0_67
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f24432,f1885]) ).
thf(f24434,plain,
( ~ spl0_3
| ~ spl0_67
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f24433]) ).
thf(f24436,plain,
( ~ spl0_68
| spl0_331
| spl0_69
| ~ spl0_395 ),
inference(avatar_split_clause,[],[f24240,f18127,f1981,f11162,f1978]) ).
thf(f24437,plain,
( spl0_265
| spl0_139
| ~ spl0_140
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f24127,f9179,f4211,f4207,f9576]) ).
thf(f24438,plain,
( ~ spl0_84
| spl0_358
| spl0_139
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f24021,f18113,f4207,f12111,f2649]) ).
thf(f24441,plain,
( ~ spl0_3
| spl0_241
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f23916,f4233,f8453,f77]) ).
thf(f24446,plain,
( ~ spl0_140
| spl0_139
| spl0_331
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f24122,f9179,f11162,f4207,f4211]) ).
thf(f24447,plain,
( spl0_265
| spl0_69
| ~ spl0_68
| ~ spl0_395 ),
inference(avatar_split_clause,[],[f24244,f18127,f1978,f1981,f9576]) ).
thf(f24448,plain,
( spl0_139
| ~ spl0_140
| spl0_113
| spl0_148 ),
inference(avatar_split_clause,[],[f22575,f5033,f2815,f4211,f4207]) ).
thf(f24509,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_239 ),
inference(constrained_superposition,[],[f8197,f877]) ).
thf(f24515,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_36
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f24509]) ).
thf(f24516,plain,
( spl0_8
| ~ spl0_36
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f24515,f8196,f876,f135]) ).
thf(f24594,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_404 ),
inference(constrained_superposition,[],[f18494,f55]) ).
thf(f24595,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_404 ),
inference(constrained_superposition,[],[f18494,f35]) ).
thf(f24597,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_404 ),
inference(trivial_inequality_removal,[],[f24594]) ).
thf(f24599,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_404 ),
inference(trivial_inequality_removal,[],[f24595]) ).
thf(f24600,plain,
( spl0_408
| spl0_83
| spl0_404 ),
inference(avatar_split_clause,[],[f24597,f18426,f2228,f18537]) ).
thf(f24602,plain,
( spl0_408
| spl0_124
| spl0_404 ),
inference(avatar_split_clause,[],[f24599,f18426,f3158,f18537]) ).
thf(f24615,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_112
| ~ spl0_394 ),
inference(constrained_superposition,[],[f2813,f18124]) ).
thf(f24616,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_112
| spl0_148 ),
inference(constrained_superposition,[],[f2813,f22561]) ).
thf(f24622,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_112
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f24615]) ).
thf(f24623,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_112
| spl0_148 ),
inference(trivial_inequality_removal,[],[f24616]) ).
thf(f24627,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_112
| ~ spl0_394 ),
inference(constrained_superposition,[],[f24622,f35]) ).
thf(f24632,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_112
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f24627]) ).
thf(f24636,plain,
( spl0_333
| spl0_265
| ~ spl0_112
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f24632,f18123,f2812,f9576,f11170]) ).
thf(f24637,plain,
( spl0_345
| ~ spl0_84
| spl0_139
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f24129,f9179,f4207,f2649,f11689]) ).
thf(f24647,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_53
| ~ spl0_412 ),
inference(constrained_superposition,[],[f22333,f22521]) ).
thf(f24648,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_412 ),
inference(constrained_superposition,[],[f107,f22521]) ).
thf(f24651,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_53
| ~ spl0_412 ),
inference(trivial_inequality_removal,[],[f24647]) ).
thf(f24652,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_412 ),
inference(trivial_inequality_removal,[],[f24648]) ).
thf(f24654,plain,
( $false
| ~ spl0_53
| ~ spl0_332
| ~ spl0_412 ),
inference(forward_subsumption_resolution,[],[f24651,f11167]) ).
thf(f24655,plain,
( ~ spl0_53
| ~ spl0_332
| ~ spl0_412 ),
inference(avatar_contradiction_clause,[],[f24654]) ).
thf(f24656,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_210
| ~ spl0_412 ),
inference(forward_subsumption_resolution,[],[f24652,f7635]) ).
thf(f24659,plain,
( $false
| spl0_210
| ~ spl0_276
| ~ spl0_412 ),
inference(forward_subsumption_resolution,[],[f24656,f9873]) ).
thf(f24660,plain,
( spl0_210
| ~ spl0_276
| ~ spl0_412 ),
inference(avatar_contradiction_clause,[],[f24659]) ).
thf(f24661,plain,
( spl0_139
| spl0_269
| ~ spl0_84
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f24126,f9179,f2649,f9625,f4207]) ).
thf(f24665,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_50
| ~ spl0_53 ),
inference(constrained_superposition,[],[f22333,f1259]) ).
thf(f24671,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_50
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f24665]) ).
thf(f24672,plain,
( $false
| ~ spl0_11
| ~ spl0_50
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f24671,f147]) ).
thf(f24673,plain,
( ~ spl0_11
| ~ spl0_50
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f24672]) ).
thf(f24674,plain,
( ~ spl0_82
| ~ spl0_112
| spl0_148 ),
inference(avatar_split_clause,[],[f24623,f5033,f2812,f2213]) ).
thf(f24689,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f68,f7067]) ).
thf(f24695,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f24689]) ).
thf(f24705,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_68 ),
inference(constrained_superposition,[],[f1979,f28]) ).
thf(f24709,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_68 ),
inference(trivial_inequality_removal,[],[f24705]) ).
thf(f24712,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_68
| spl0_77 ),
inference(forward_subsumption_resolution,[],[f24709,f18084]) ).
thf(f24713,plain,
( spl0_76
| spl0_68
| spl0_77 ),
inference(avatar_split_clause,[],[f24712,f2071,f1978,f2068]) ).
thf(f24716,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f30,f2069]) ).
thf(f24719,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f24716]) ).
thf(f24737,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_93 ),
inference(constrained_superposition,[],[f2689,f54]) ).
thf(f24743,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f24737]) ).
thf(f24757,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f30,f10051]) ).
thf(f24759,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f24757]) ).
thf(f24761,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f30,f9737]) ).
thf(f24763,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f24761]) ).
thf(f24764,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f242,f12075]) ).
thf(f24765,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f128,f12075]) ).
thf(f24767,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f48,f12075]) ).
thf(f24773,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f24767]) ).
thf(f24776,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f24765]) ).
thf(f24777,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f24764]) ).
thf(f24778,plain,
( ~ spl0_15
| spl0_345
| spl0_14
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f24773,f12074,f194,f11689,f197]) ).
thf(f24780,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_36
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f24776,f877]) ).
thf(f24781,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f24777,f877]) ).
thf(f24782,plain,
( spl0_331
| spl0_14
| ~ spl0_36
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f24780,f12074,f876,f194,f11162]) ).
thf(f24783,plain,
( spl0_265
| spl0_14
| ~ spl0_36
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f24781,f12074,f876,f194,f9576]) ).
thf(f24820,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f48,f18135]) ).
thf(f24828,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f24820]) ).
thf(f24834,plain,
( ~ spl0_160
| spl0_374
| spl0_64
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f24828,f18134,f1821,f13299,f5126]) ).
thf(f24896,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_227
| ~ spl0_255 ),
inference(constrained_superposition,[],[f7119,f9191]) ).
thf(f24910,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_227
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f24896]) ).
thf(f24914,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_227
| ~ spl0_255 ),
inference(constrained_superposition,[],[f24910,f112]) ).
thf(f24921,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_227
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f24914]) ).
thf(f24925,plain,
( spl0_265
| ~ spl0_227
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f24921,f9190,f7118,f9576]) ).
thf(f24937,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_393 ),
inference(constrained_superposition,[],[f24719,f18121]) ).
thf(f24943,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f24937]) ).
thf(f24946,plain,
( $false
| ~ spl0_76
| ~ spl0_331
| ~ spl0_393 ),
inference(forward_subsumption_resolution,[],[f24943,f11163]) ).
thf(f24947,plain,
( ~ spl0_76
| ~ spl0_331
| ~ spl0_393 ),
inference(avatar_contradiction_clause,[],[f24946]) ).
thf(f25020,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f11897,f33]) ).
thf(f25032,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f25020]) ).
thf(f25035,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_110
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f25032,f12914]) ).
thf(f25036,plain,
( ~ spl0_84
| spl0_110
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f25035,f11896,f2805,f2649]) ).
thf(f25053,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f24759,f54]) ).
thf(f25058,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f25053]) ).
thf(f25060,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f24763,f54]) ).
thf(f25065,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f25060]) ).
thf(f25106,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_251
| ~ spl0_347 ),
inference(constrained_superposition,[],[f11897,f9176]) ).
thf(f25111,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f48,f9176]) ).
thf(f25112,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f41,f9176]) ).
thf(f25117,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f25112]) ).
thf(f25119,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f25111]) ).
thf(f25123,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_251
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f25106]) ).
thf(f25125,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true ) )
| spl0_110
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[],[f25117,f12914]) ).
thf(f25126,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| spl0_67
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[],[f25119,f7458]) ).
thf(f25127,plain,
( spl0_277
| ~ spl0_278
| spl0_110
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f25125,f9175,f2805,f9921,f9918]) ).
thf(f25128,plain,
( ~ spl0_278
| spl0_277
| spl0_67
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f25126,f9175,f1884,f9918,f9921]) ).
thf(f25135,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_251
| ~ spl0_347 ),
inference(constrained_superposition,[],[f25123,f28]) ).
thf(f25138,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_251
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f25135]) ).
thf(f25141,plain,
( spl0_409
| spl0_416
| ~ spl0_251
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f25138,f11896,f9175,f23247,f18633]) ).
thf(f25142,plain,
( spl0_210
| ~ spl0_3
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f24743,f2688,f77,f6692]) ).
thf(f25143,plain,
( spl0_18
| spl0_57
| ~ spl0_19
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f24695,f2213,f254,f1283,f250]) ).
thf(f25144,plain,
( spl0_356
| ~ spl0_23
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f25058,f10050,f384,f12084]) ).
thf(f25146,plain,
( spl0_271
| ~ spl0_3
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f25065,f9736,f77,f9742]) ).
thf(f25169,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f39,f6693]) ).
thf(f25173,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f25169]) ).
thf(f25178,plain,
( spl0_59
| spl0_223
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f25173,f6692,f6825,f1290]) ).
thf(f25187,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_379 ),
inference(constrained_superposition,[],[f111,f13345]) ).
thf(f25251,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_379 ),
inference(forward_subsumption_resolution,[],[f25187,f24]) ).
thf(f25263,plain,
( $false
| ~ spl0_379 ),
inference(forward_subsumption_resolution,[],[f25251,f25]) ).
thf(f25264,plain,
~ spl0_379,
inference(avatar_contradiction_clause,[],[f25263]) ).
thf(f25291,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f30,f5055]) ).
thf(f25292,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f25291]) ).
thf(f25352,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f242,f9743]) ).
thf(f25353,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f128,f9743]) ).
thf(f25355,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f48,f9743]) ).
thf(f25356,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f41,f9743]) ).
thf(f25360,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f25355]) ).
thf(f25361,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f25352]) ).
thf(f25363,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f25356]) ).
thf(f25364,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f25353]) ).
thf(f25367,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_391 ),
inference(constrained_superposition,[],[f242,f18114]) ).
thf(f25368,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_391 ),
inference(constrained_superposition,[],[f128,f18114]) ).
thf(f25369,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_391 ),
inference(constrained_superposition,[],[f68,f18114]) ).
thf(f25377,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f25367]) ).
thf(f25378,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f25369]) ).
thf(f25379,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f25368]) ).
thf(f25382,plain,
( ~ spl0_140
| spl0_285
| spl0_139
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f25377,f18113,f4207,f10050,f4211]) ).
thf(f25384,plain,
( ~ spl0_140
| spl0_355
| spl0_139
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f25379,f18113,f4207,f12079,f4211]) ).
thf(f25386,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f242,f18135]) ).
thf(f25391,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f39,f18135]) ).
thf(f25395,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f25386]) ).
thf(f25396,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f25391]) ).
thf(f25400,plain,
( spl0_376
| spl0_59
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f25396,f18134,f1290,f13306]) ).
thf(f25422,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f25292,f54]) ).
thf(f25426,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f25422]) ).
thf(f25428,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f25426,f78]) ).
thf(f25429,plain,
( spl0_356
| ~ spl0_3
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f25428,f5054,f77,f12084]) ).
thf(f25431,plain,
( spl0_332
| ~ spl0_36
| spl0_14
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f25364,f9742,f194,f876,f11166]) ).
thf(f25432,plain,
( ~ spl0_36
| spl0_338
| spl0_14
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f25361,f9742,f194,f11304,f876]) ).
thf(f25433,plain,
( ~ spl0_15
| spl0_14
| spl0_270
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f25363,f9742,f9736,f194,f197]) ).
thf(f25434,plain,
( spl0_378
| spl0_139
| ~ spl0_55
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f25378,f18113,f1275,f4207,f13325]) ).
thf(f25435,plain,
( spl0_374
| spl0_53
| ~ spl0_375
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f25395,f18134,f13302,f1268,f13299]) ).
thf(f25436,plain,
( spl0_335
| spl0_14
| ~ spl0_15
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f25360,f9742,f197,f194,f11184]) ).
thf(f25437,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f30,f140]) ).
thf(f25438,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f25437]) ).
thf(f25440,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f48,f877]) ).
thf(f25441,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f41,f877]) ).
thf(f25442,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f39,f877]) ).
thf(f25445,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f25442]) ).
thf(f25447,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f25440]) ).
thf(f25448,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f25441]) ).
thf(f25449,plain,
( spl0_28
| spl0_27
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f25445,f876,f827,f830]) ).
thf(f25450,plain,
( spl0_14
| ~ spl0_15
| spl0_8
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f25447,f876,f135,f197,f194]) ).
thf(f25451,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_11
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f25448,f10039]) ).
thf(f25452,plain,
( spl0_14
| ~ spl0_15
| spl0_11
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f25451,f876,f146,f197,f194]) ).
thf(f25463,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_55 ),
inference(constrained_superposition,[],[f1276,f28]) ).
thf(f25466,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_55 ),
inference(trivial_inequality_removal,[],[f25463]) ).
thf(f25468,plain,
( spl0_57
| spl0_74
| spl0_55 ),
inference(avatar_split_clause,[],[f25466,f1275,f2008,f1283]) ).
thf(f25482,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_210 ),
inference(constrained_superposition,[],[f7635,f28]) ).
thf(f25484,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_210 ),
inference(trivial_inequality_removal,[],[f25482]) ).
thf(f25486,plain,
( spl0_74
| spl0_231
| spl0_210 ),
inference(avatar_split_clause,[],[f25484,f6692,f7643,f2008]) ).
thf(f25616,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_124
| ~ spl0_241 ),
inference(constrained_superposition,[],[f8454,f3159]) ).
thf(f25617,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_241 ),
inference(constrained_superposition,[],[f242,f8454]) ).
thf(f25618,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_241 ),
inference(constrained_superposition,[],[f128,f8454]) ).
thf(f25624,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f25618]) ).
thf(f25629,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f25617]) ).
thf(f25631,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_36
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f25624,f877]) ).
thf(f25633,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f25629,f877]) ).
thf(f25634,plain,
( $false
| ~ spl0_124
| spl0_210
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f25616,f7635]) ).
thf(f25635,plain,
( ~ spl0_124
| spl0_210
| ~ spl0_241 ),
inference(avatar_contradiction_clause,[],[f25634]) ).
thf(f25636,plain,
( spl0_76
| spl0_14
| ~ spl0_36
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f25631,f8453,f876,f194,f2068]) ).
thf(f25637,plain,
( spl0_14
| spl0_113
| ~ spl0_36
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f25633,f8453,f876,f2815,f194]) ).
thf(f25648,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( X0 = X1 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f39,f7067]) ).
thf(f25652,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( X0 = X1 )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
= $true ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f25648]) ).
thf(f25657,plain,
( spl0_227
| spl0_59
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f25652,f2213,f1290,f7118]) ).
thf(f25664,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_68 ),
inference(constrained_superposition,[],[f1979,f35]) ).
thf(f25669,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_68 ),
inference(trivial_inequality_removal,[],[f25664]) ).
thf(f25672,plain,
( spl0_76
| spl0_74
| spl0_68 ),
inference(avatar_split_clause,[],[f25669,f1978,f2008,f2068]) ).
thf(f25691,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_377 ),
inference(constrained_superposition,[],[f13315,f28]) ).
thf(f25694,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_377 ),
inference(trivial_inequality_removal,[],[f25691]) ).
thf(f25696,plain,
( spl0_333
| spl0_378
| spl0_377 ),
inference(avatar_split_clause,[],[f25694,f13314,f13325,f11170]) ).
thf(f25710,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_355 ),
inference(constrained_superposition,[],[f25438,f12080]) ).
thf(f25715,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f25710]) ).
thf(f25716,plain,
( $false
| ~ spl0_9
| ~ spl0_355
| ~ spl0_378 ),
inference(forward_subsumption_resolution,[],[f25715,f13326]) ).
thf(f25717,plain,
( ~ spl0_9
| ~ spl0_355
| ~ spl0_378 ),
inference(avatar_contradiction_clause,[],[f25716]) ).
thf(f25718,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_356 ),
inference(constrained_superposition,[],[f242,f12085]) ).
thf(f25719,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_356 ),
inference(constrained_superposition,[],[f128,f12085]) ).
thf(f25722,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_356 ),
inference(constrained_superposition,[],[f41,f12085]) ).
thf(f25726,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f25718]) ).
thf(f25728,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f25722]) ).
thf(f25730,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f25719]) ).
thf(f25733,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_36
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f25726,f877]) ).
thf(f25734,plain,
( ~ spl0_15
| spl0_14
| spl0_151
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f25728,f12084,f5054,f194,f197]) ).
thf(f25735,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_36
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f25730,f877]) ).
thf(f25736,plain,
( spl0_14
| spl0_285
| ~ spl0_36
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f25733,f12084,f876,f10050,f194]) ).
thf(f25737,plain,
( spl0_355
| spl0_14
| ~ spl0_36
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f25735,f12084,f876,f194,f12079]) ).
thf(f25778,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f39,f7457]) ).
thf(f25785,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( X0 = X1 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f25778]) ).
thf(f25787,plain,
( spl0_71
| spl0_59
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f25785,f7456,f1290,f1989]) ).
thf(f25806,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_262 ),
inference(constrained_superposition,[],[f9565,f35]) ).
thf(f25811,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_262 ),
inference(trivial_inequality_removal,[],[f25806]) ).
thf(f25814,plain,
( spl0_333
| spl0_331
| spl0_262 ),
inference(avatar_split_clause,[],[f25811,f9564,f11162,f11170]) ).
thf(f25817,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_331 ),
inference(constrained_superposition,[],[f25438,f11163]) ).
thf(f25820,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f25817]) ).
thf(f25823,plain,
( $false
| ~ spl0_9
| ~ spl0_263
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f25820,f9569]) ).
thf(f25824,plain,
( ~ spl0_9
| ~ spl0_263
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f25823]) ).
cnf(s3,plain,
( spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f101]) ).
cnf(s8,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f175]) ).
cnf(s10,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f184]) ).
cnf(s16,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f268]) ).
cnf(s18,plain,
( spl0_9
| spl0_19 ),
inference(sat_conversion,[],[f279]) ).
cnf(s19,plain,
( spl0_9
| spl0_19
| spl0_22 ),
inference(sat_conversion,[],[f283]) ).
cnf(s22,plain,
( spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f825]) ).
cnf(s23,plain,
( ~ spl0_2
| ~ spl0_11
| spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f832]) ).
cnf(s24,plain,
( spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f839]) ).
cnf(s25,plain,
( spl0_28
| spl0_31 ),
inference(sat_conversion,[],[f843]) ).
cnf(s33,plain,
( spl0_23
| spl0_36 ),
inference(sat_conversion,[],[f889]) ).
cnf(s40,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f917]) ).
cnf(s47,plain,
( spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f1046]) ).
cnf(s50,plain,
( ~ spl0_6
| spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s52,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f1065]) ).
cnf(s53,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s56,plain,
( spl0_3
| ~ spl0_6
| spl0_48 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s58,plain,
( ~ spl0_3
| ~ spl0_8
| spl0_36 ),
inference(sat_conversion,[],[f1079]) ).
cnf(s59,plain,
( spl0_48
| ~ spl0_49 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s63,plain,
( ~ spl0_9
| ~ spl0_17
| ~ spl0_29
| ~ spl0_48
| spl0_54
| ~ spl0_55 ),
inference(sat_conversion,[],[f1277]) ).
cnf(s64,plain,
( ~ spl0_9
| ~ spl0_17
| ~ spl0_48
| spl0_52
| spl0_56 ),
inference(sat_conversion,[],[f1281]) ).
cnf(s70,plain,
( ~ spl0_26
| ~ spl0_48
| spl0_64
| spl0_65 ),
inference(sat_conversion,[],[f1826]) ).
cnf(s71,plain,
( ~ spl0_26
| ~ spl0_48
| spl0_64
| spl0_65 ),
inference(sat_conversion,[],[f1827]) ).
cnf(s73,plain,
( ~ spl0_26
| ~ spl0_48
| spl0_66
| spl0_67 ),
inference(sat_conversion,[],[f1887]) ).
cnf(s74,plain,
( spl0_53
| ~ spl0_64
| ~ spl0_67
| ~ spl0_68
| spl0_69 ),
inference(sat_conversion,[],[f1983]) ).
cnf(s76,plain,
( spl0_59
| ~ spl0_64
| ~ spl0_67
| spl0_71 ),
inference(sat_conversion,[],[f1991]) ).
cnf(s79,plain,
( spl0_56
| ~ spl0_64
| ~ spl0_67
| ~ spl0_68
| spl0_69 ),
inference(sat_conversion,[],[f2000]) ).
cnf(s83,plain,
( spl0_72
| spl0_73
| spl0_75 ),
inference(sat_conversion,[],[f2041]) ).
cnf(s84,plain,
( spl0_72
| spl0_73 ),
inference(sat_conversion,[],[f2043]) ).
cnf(s86,plain,
( spl0_68
| spl0_76
| spl0_77 ),
inference(sat_conversion,[],[f2073]) ).
cnf(s90,plain,
( ~ spl0_8
| ~ spl0_67
| ~ spl0_76 ),
inference(sat_conversion,[],[f2124]) ).
cnf(s91,plain,
( ~ spl0_9
| ~ spl0_72
| ~ spl0_76 ),
inference(sat_conversion,[],[f2132]) ).
cnf(s95,plain,
( spl0_3
| ~ spl0_6
| spl0_22
| ~ spl0_26
| ~ spl0_67
| ~ spl0_76
| spl0_80 ),
inference(sat_conversion,[],[f2151]) ).
cnf(s96,plain,
( spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_67
| ~ spl0_76
| spl0_79 ),
inference(sat_conversion,[],[f2152]) ).
cnf(s97,plain,
( ~ spl0_26
| ~ spl0_57
| spl0_64
| spl0_81 ),
inference(sat_conversion,[],[f2185]) ).
cnf(s98,plain,
( ~ spl0_71
| spl0_76
| ~ spl0_82 ),
inference(sat_conversion,[],[f2215]) ).
cnf(s101,plain,
( spl0_53
| spl0_82
| spl0_83 ),
inference(sat_conversion,[],[f2230]) ).
cnf(s141,plain,
( ~ spl0_64
| spl0_93 ),
inference(sat_conversion,[],[f2793]) ).
cnf(s142,plain,
( ~ spl0_69
| spl0_110
| spl0_111 ),
inference(sat_conversion,[],[f2810]) ).
cnf(s143,plain,
( ~ spl0_69
| spl0_112
| spl0_113 ),
inference(sat_conversion,[],[f2817]) ).
cnf(s144,plain,
( ~ spl0_8
| ~ spl0_67
| ~ spl0_113 ),
inference(sat_conversion,[],[f2876]) ).
cnf(s145,plain,
( ~ spl0_9
| ~ spl0_72
| ~ spl0_113 ),
inference(sat_conversion,[],[f2882]) ).
cnf(s146,plain,
( ~ spl0_8
| ~ spl0_65
| ~ spl0_113 ),
inference(sat_conversion,[],[f2884]) ).
cnf(s153,plain,
( spl0_57
| ~ spl0_59
| spl0_117 ),
inference(sat_conversion,[],[f2962]) ).
cnf(s154,plain,
( ~ spl0_59
| ~ spl0_84
| spl0_118 ),
inference(sat_conversion,[],[f2966]) ).
cnf(s155,plain,
( spl0_56
| ~ spl0_59
| spl0_119 ),
inference(sat_conversion,[],[f2970]) ).
cnf(s156,plain,
( spl0_64
| spl0_84 ),
inference(sat_conversion,[],[f2975]) ).
cnf(s160,plain,
( spl0_2
| spl0_64
| ~ spl0_117 ),
inference(sat_conversion,[],[f3000]) ).
cnf(s161,plain,
( spl0_22
| spl0_23
| spl0_57
| ~ spl0_119 ),
inference(sat_conversion,[],[f3012]) ).
cnf(s162,plain,
( spl0_11
| spl0_64
| ~ spl0_119 ),
inference(sat_conversion,[],[f3014]) ).
cnf(s168,plain,
( ~ spl0_57
| ~ spl0_72
| spl0_76
| spl0_77
| ~ spl0_119
| spl0_124 ),
inference(sat_conversion,[],[f3160]) ).
cnf(s180,plain,
( ~ spl0_64
| ~ spl0_67
| spl0_76
| spl0_77
| ~ spl0_119
| spl0_124 ),
inference(sat_conversion,[],[f3203]) ).
cnf(s187,plain,
( ~ spl0_26
| ~ spl0_48
| spl0_64
| spl0_107 ),
inference(sat_conversion,[],[f3238]) ).
cnf(s189,plain,
( ~ spl0_4
| spl0_50
| spl0_57 ),
inference(sat_conversion,[],[f3258]) ).
cnf(s190,plain,
( ~ spl0_50
| spl0_93 ),
inference(sat_conversion,[],[f3279]) ).
cnf(s203,plain,
( ~ spl0_8
| ~ spl0_53
| ~ spl0_93 ),
inference(sat_conversion,[],[f3607]) ).
cnf(s210,plain,
( ~ spl0_48
| spl0_57
| spl0_64 ),
inference(sat_conversion,[],[f3620]) ).
cnf(s212,plain,
( ~ spl0_9
| ~ spl0_48
| ~ spl0_53
| spl0_64 ),
inference(sat_conversion,[],[f3626]) ).
cnf(s215,plain,
( spl0_3
| ~ spl0_26
| spl0_57
| spl0_64 ),
inference(sat_conversion,[],[f3629]) ).
cnf(s217,plain,
( ~ spl0_9
| ~ spl0_56
| ~ spl0_57 ),
inference(sat_conversion,[],[f3677]) ).
cnf(s218,plain,
( ~ spl0_8
| ~ spl0_56
| ~ spl0_64 ),
inference(sat_conversion,[],[f3681]) ).
cnf(s220,plain,
( spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_56
| ~ spl0_64
| spl0_78 ),
inference(sat_conversion,[],[f3686]) ).
cnf(s223,plain,
( spl0_67
| spl0_70 ),
inference(sat_conversion,[],[f3690]) ).
cnf(s224,plain,
( ~ spl0_26
| spl0_67
| ~ spl0_72
| spl0_138 ),
inference(sat_conversion,[],[f3694]) ).
cnf(s225,plain,
( ~ spl0_26
| ~ spl0_48
| spl0_65
| spl0_93 ),
inference(sat_conversion,[],[f3695]) ).
cnf(s227,plain,
( ~ spl0_57
| ~ spl0_72
| spl0_83
| spl0_110
| ~ spl0_118 ),
inference(sat_conversion,[],[f4033]) ).
cnf(s240,plain,
~ spl0_83,
inference(sat_conversion,[],[f4241]) ).
cnf(s241,plain,
( spl0_3
| ~ spl0_26
| spl0_116
| ~ spl0_138 ),
inference(sat_conversion,[],[f4573]) ).
cnf(s294,plain,
( ~ spl0_26
| ~ spl0_48
| spl0_100
| spl0_109
| ~ spl0_116 ),
inference(sat_conversion,[],[f5147]) ).
cnf(s388,plain,
( spl0_56
| spl0_83
| spl0_140 ),
inference(sat_conversion,[],[f6356]) ).
cnf(s390,plain,
( spl0_50
| ~ spl0_139
| spl0_200 ),
inference(sat_conversion,[],[f6370]) ).
cnf(s391,plain,
( spl0_59
| ~ spl0_66
| ~ spl0_93
| spl0_201 ),
inference(sat_conversion,[],[f6490]) ).
cnf(s393,plain,
( ~ spl0_8
| spl0_53
| ~ spl0_66
| ~ spl0_93
| ~ spl0_139 ),
inference(sat_conversion,[],[f6554]) ).
cnf(s398,plain,
( spl0_3
| ~ spl0_26
| ~ spl0_48
| spl0_53
| ~ spl0_66
| spl0_78
| ~ spl0_93
| ~ spl0_139 ),
inference(sat_conversion,[],[f6573]) ).
cnf(s402,plain,
( ~ spl0_82
| ~ spl0_201
| spl0_204 ),
inference(sat_conversion,[],[f6595]) ).
cnf(s410,plain,
( spl0_3
| ~ spl0_26
| ~ spl0_48
| ~ spl0_66
| spl0_78
| ~ spl0_204 ),
inference(sat_conversion,[],[f6664]) ).
cnf(s424,plain,
( spl0_3
| ~ spl0_26
| spl0_213 ),
inference(sat_conversion,[],[f6708]) ).
cnf(s426,plain,
( spl0_9
| ~ spl0_28
| spl0_215 ),
inference(sat_conversion,[],[f6717]) ).
cnf(s431,plain,
( spl0_3
| ~ spl0_26
| spl0_208 ),
inference(sat_conversion,[],[f6733]) ).
cnf(s438,plain,
( spl0_3
| ~ spl0_26
| spl0_48 ),
inference(sat_conversion,[],[f6748]) ).
cnf(s451,plain,
( ~ spl0_3
| ~ spl0_57
| ~ spl0_64 ),
inference(sat_conversion,[],[f6841]) ).
cnf(s558,plain,
( ~ spl0_36
| spl0_53
| ~ spl0_223 ),
inference(sat_conversion,[],[f7631]) ).
cnf(s566,plain,
( spl0_2
| ~ spl0_14
| spl0_49 ),
inference(sat_conversion,[],[f7721]) ).
cnf(s573,plain,
( ~ spl0_14
| ~ spl0_19
| spl0_57
| ~ spl0_82 ),
inference(sat_conversion,[],[f7789]) ).
cnf(s596,plain,
~ spl0_74,
inference(sat_conversion,[],[f8049]) ).
cnf(s601,plain,
( ~ spl0_48
| spl0_206 ),
inference(sat_conversion,[],[f8105]) ).
cnf(s602,plain,
( spl0_3
| spl0_22
| spl0_23
| ~ spl0_203 ),
inference(sat_conversion,[],[f8161]) ).
cnf(s606,plain,
( ~ spl0_15
| ~ spl0_30
| spl0_239 ),
inference(sat_conversion,[],[f8198]) ).
cnf(s607,plain,
( ~ spl0_30
| ~ spl0_36
| spl0_215 ),
inference(sat_conversion,[],[f8319]) ).
cnf(s608,plain,
( spl0_75
| spl0_77
| spl0_113
| ~ spl0_215
| spl0_240 ),
inference(sat_conversion,[],[f8434]) ).
cnf(s609,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_110
| ~ spl0_113 ),
inference(sat_conversion,[],[f8451]) ).
cnf(s610,plain,
( ~ spl0_9
| ~ spl0_113
| spl0_241 ),
inference(sat_conversion,[],[f8455]) ).
cnf(s611,plain,
( ~ spl0_9
| spl0_67
| ~ spl0_113
| ~ spl0_206 ),
inference(sat_conversion,[],[f8457]) ).
cnf(s614,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_36
| spl0_57
| ~ spl0_64
| spl0_74
| spl0_83 ),
inference(sat_conversion,[],[f8589]) ).
cnf(s617,plain,
( ~ spl0_110
| spl0_143 ),
inference(sat_conversion,[],[f8722]) ).
cnf(s618,plain,
( ~ spl0_11
| ~ spl0_110
| ~ spl0_113 ),
inference(sat_conversion,[],[f8724]) ).
cnf(s624,plain,
( spl0_75
| spl0_248
| spl0_249 ),
inference(sat_conversion,[],[f9170]) ).
cnf(s625,plain,
( spl0_75
| spl0_250
| spl0_251 ),
inference(sat_conversion,[],[f9177]) ).
cnf(s626,plain,
( spl0_75
| spl0_252
| spl0_253 ),
inference(sat_conversion,[],[f9184]) ).
cnf(s628,plain,
( spl0_75
| spl0_255
| spl0_256 ),
inference(sat_conversion,[],[f9195]) ).
cnf(s661,plain,
~ spl0_75,
inference(sat_conversion,[],[f9434]) ).
cnf(s674,plain,
( spl0_75
| spl0_252
| spl0_253 ),
inference(sat_conversion,[],[f9477]) ).
cnf(s675,plain,
( spl0_75
| spl0_248
| spl0_249 ),
inference(sat_conversion,[],[f9478]) ).
cnf(s677,plain,
( spl0_75
| spl0_250
| spl0_251 ),
inference(sat_conversion,[],[f9481]) ).
cnf(s678,plain,
( spl0_75
| spl0_255
| spl0_256 ),
inference(sat_conversion,[],[f9482]) ).
cnf(s692,plain,
( ~ spl0_4
| ~ spl0_72
| ~ spl0_248
| spl0_270 ),
inference(sat_conversion,[],[f9739]) ).
cnf(s693,plain,
( ~ spl0_72
| ~ spl0_248
| spl0_271 ),
inference(sat_conversion,[],[f9744]) ).
cnf(s699,plain,
( ~ spl0_4
| spl0_72
| spl0_110 ),
inference(sat_conversion,[],[f9769]) ).
cnf(s700,plain,
( ~ spl0_48
| spl0_67
| spl0_72 ),
inference(sat_conversion,[],[f9775]) ).
cnf(s703,plain,
( spl0_2
| ~ spl0_25
| spl0_72
| spl0_75
| spl0_110 ),
inference(sat_conversion,[],[f9784]) ).
cnf(s718,plain,
( spl0_241
| ~ spl0_250
| ~ spl0_276 ),
inference(sat_conversion,[],[f9959]) ).
cnf(s720,plain,
( ~ spl0_72
| ~ spl0_250
| ~ spl0_276 ),
inference(sat_conversion,[],[f9964]) ).
cnf(s721,plain,
( spl0_67
| ~ spl0_206
| ~ spl0_250
| ~ spl0_276 ),
inference(sat_conversion,[],[f9965]) ).
cnf(s732,plain,
( ~ spl0_111
| ~ spl0_251
| spl0_270 ),
inference(sat_conversion,[],[f10013]) ).
cnf(s739,plain,
( ~ spl0_4
| spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f10046]) ).
cnf(s746,plain,
( spl0_11
| ~ spl0_25
| spl0_75
| spl0_151
| spl0_285 ),
inference(sat_conversion,[],[f10068]) ).
cnf(s749,plain,
( ~ spl0_5
| spl0_6
| spl0_11
| ~ spl0_36 ),
inference(sat_conversion,[],[f10077]) ).
cnf(s753,plain,
( ~ spl0_13
| ~ spl0_25
| spl0_75
| spl0_151
| spl0_285 ),
inference(sat_conversion,[],[f10094]) ).
cnf(s758,plain,
( spl0_3
| spl0_11
| ~ spl0_30
| ~ spl0_36 ),
inference(sat_conversion,[],[f10112]) ).
cnf(s762,plain,
( spl0_3
| spl0_11
| spl0_22
| spl0_23
| ~ spl0_30 ),
inference(sat_conversion,[],[f10126]) ).
cnf(s770,plain,
( spl0_2
| spl0_11
| spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f10148]) ).
cnf(s774,plain,
( spl0_3
| spl0_11
| ~ spl0_27 ),
inference(sat_conversion,[],[f10158]) ).
cnf(s814,plain,
~ spl0_272,
inference(sat_conversion,[],[f10428]) ).
cnf(s829,plain,
( spl0_2
| ~ spl0_25
| spl0_301 ),
inference(sat_conversion,[],[f10459]) ).
cnf(s833,plain,
( ~ spl0_4
| spl0_270
| spl0_276 ),
inference(sat_conversion,[],[f10534]) ).
cnf(s836,plain,
( spl0_2
| ~ spl0_25
| spl0_270
| spl0_276 ),
inference(sat_conversion,[],[f10542]) ).
cnf(s840,plain,
( ~ spl0_52
| spl0_76
| ~ spl0_251
| spl0_279 ),
inference(sat_conversion,[],[f10655]) ).
cnf(s846,plain,
( ~ spl0_72
| ~ spl0_97
| spl0_210 ),
inference(sat_conversion,[],[f10691]) ).
cnf(s849,plain,
( spl0_97
| spl0_229 ),
inference(sat_conversion,[],[f10705]) ).
cnf(s861,plain,
( ~ spl0_2
| ~ spl0_50
| ~ spl0_231 ),
inference(sat_conversion,[],[f10779]) ).
cnf(s862,plain,
( spl0_113
| ~ spl0_227
| ~ spl0_229 ),
inference(sat_conversion,[],[f10780]) ).
cnf(s867,plain,
( spl0_2
| spl0_4
| ~ spl0_25 ),
inference(sat_conversion,[],[f10795]) ).
cnf(s869,plain,
( ~ spl0_2
| ~ spl0_72
| ~ spl0_110 ),
inference(sat_conversion,[],[f10800]) ).
cnf(s879,plain,
( spl0_2
| spl0_9
| spl0_11
| ~ spl0_25 ),
inference(sat_conversion,[],[f10830]) ).
cnf(s881,plain,
( ~ spl0_2
| ~ spl0_50
| spl0_210 ),
inference(sat_conversion,[],[f10835]) ).
cnf(s890,plain,
( spl0_2
| ~ spl0_25
| spl0_319 ),
inference(sat_conversion,[],[f10855]) ).
cnf(s892,plain,
( ~ spl0_5
| ~ spl0_25
| spl0_319 ),
inference(sat_conversion,[],[f10857]) ).
cnf(s893,plain,
( spl0_6
| ~ spl0_13
| spl0_50
| ~ spl0_82 ),
inference(sat_conversion,[],[f10858]) ).
cnf(s894,plain,
( spl0_50
| spl0_214 ),
inference(sat_conversion,[],[f10860]) ).
cnf(s903,plain,
( ~ spl0_25
| spl0_50
| spl0_83
| spl0_97
| spl0_110 ),
inference(sat_conversion,[],[f10890]) ).
cnf(s906,plain,
( spl0_11
| ~ spl0_25
| spl0_50
| spl0_53
| spl0_83 ),
inference(sat_conversion,[],[f10896]) ).
cnf(s910,plain,
( ~ spl0_2
| ~ spl0_57
| ~ spl0_64 ),
inference(sat_conversion,[],[f10951]) ).
cnf(s912,plain,
( spl0_2
| ~ spl0_25
| spl0_317 ),
inference(sat_conversion,[],[f10958]) ).
cnf(s919,plain,
( ~ spl0_11
| ~ spl0_76
| ~ spl0_110 ),
inference(sat_conversion,[],[f11084]) ).
cnf(s926,plain,
( ~ spl0_50
| ~ spl0_97
| ~ spl0_110 ),
inference(sat_conversion,[],[f11152]) ).
cnf(s932,plain,
( spl0_268
| spl0_275
| spl0_332 ),
inference(sat_conversion,[],[f11168]) ).
cnf(s935,plain,
( spl0_110
| spl0_328 ),
inference(sat_conversion,[],[f11178]) ).
cnf(s946,plain,
( ~ spl0_8
| ~ spl0_113
| ~ spl0_143 ),
inference(sat_conversion,[],[f11232]) ).
cnf(s950,plain,
( ~ spl0_8
| ~ spl0_332
| ~ spl0_335 ),
inference(sat_conversion,[],[f11297]) ).
cnf(s966,plain,
( spl0_53
| ~ spl0_93
| ~ spl0_275
| spl0_277
| ~ spl0_335 ),
inference(sat_conversion,[],[f11373]) ).
cnf(s972,plain,
( spl0_67
| ~ spl0_71
| ~ spl0_214 ),
inference(sat_conversion,[],[f11413]) ).
cnf(s975,plain,
( ~ spl0_8
| ~ spl0_270
| ~ spl0_338 ),
inference(sat_conversion,[],[f11472]) ).
cnf(s982,plain,
( ~ spl0_112
| ~ spl0_251
| spl0_334
| spl0_338 ),
inference(sat_conversion,[],[f11516]) ).
cnf(s999,plain,
( ~ spl0_139
| ~ spl0_255
| spl0_264 ),
inference(sat_conversion,[],[f11744]) ).
cnf(s1001,plain,
( spl0_53
| ~ spl0_139
| ~ spl0_255
| ~ spl0_262 ),
inference(sat_conversion,[],[f11765]) ).
cnf(s1002,plain,
( ~ spl0_214
| ~ spl0_264
| spl0_269 ),
inference(sat_conversion,[],[f11788]) ).
cnf(s1003,plain,
( ~ spl0_229
| ~ spl0_251
| ~ spl0_339 ),
inference(sat_conversion,[],[f11810]) ).
cnf(s1005,plain,
( ~ spl0_279
| spl0_332
| ~ spl0_346 ),
inference(sat_conversion,[],[f11832]) ).
cnf(s1008,plain,
( spl0_22
| ~ spl0_93
| spl0_148
| ~ spl0_279
| ~ spl0_335 ),
inference(sat_conversion,[],[f11850]) ).
cnf(s1009,plain,
( ~ spl0_57
| ~ spl0_148
| ~ spl0_240 ),
inference(sat_conversion,[],[f11864]) ).
cnf(s1011,plain,
( ~ spl0_57
| spl0_67
| ~ spl0_148
| ~ spl0_206 ),
inference(sat_conversion,[],[f11871]) ).
cnf(s1014,plain,
( ~ spl0_251
| ~ spl0_254
| spl0_277
| ~ spl0_348 ),
inference(sat_conversion,[],[f11916]) ).
cnf(s1015,plain,
( ~ spl0_55
| spl0_139
| spl0_148
| ~ spl0_254 ),
inference(sat_conversion,[],[f11917]) ).
cnf(s1016,plain,
( ~ spl0_5
| spl0_6
| spl0_110
| ~ spl0_254 ),
inference(sat_conversion,[],[f11918]) ).
cnf(s1017,plain,
( spl0_269
| ~ spl0_322
| spl0_349 ),
inference(sat_conversion,[],[f11934]) ).
cnf(s1020,plain,
( spl0_69
| ~ spl0_93
| ~ spl0_229
| ~ spl0_249
| ~ spl0_335 ),
inference(sat_conversion,[],[f12018]) ).
cnf(s1021,plain,
( spl0_18
| ~ spl0_82
| ~ spl0_93
| ~ spl0_335
| spl0_338 ),
inference(sat_conversion,[],[f12019]) ).
cnf(s1034,plain,
( ~ spl0_9
| ~ spl0_265
| spl0_354 ),
inference(sat_conversion,[],[f12076]) ).
cnf(s1036,plain,
( spl0_11
| ~ spl0_25
| spl0_75
| spl0_151
| spl0_355 ),
inference(sat_conversion,[],[f12081]) ).
cnf(s1041,plain,
( spl0_74
| spl0_113
| spl0_346 ),
inference(sat_conversion,[],[f12093]) ).
cnf(s1044,plain,
( ~ spl0_23
| ~ spl0_76
| spl0_241 ),
inference(sat_conversion,[],[f12096]) ).
cnf(s1048,plain,
( spl0_36
| ~ spl0_72
| ~ spl0_76 ),
inference(sat_conversion,[],[f12105]) ).
cnf(s1050,plain,
( ~ spl0_23
| ~ spl0_265
| spl0_354 ),
inference(sat_conversion,[],[f12109]) ).
cnf(s1052,plain,
( ~ spl0_9
| ~ spl0_206
| ~ spl0_285
| spl0_358 ),
inference(sat_conversion,[],[f12114]) ).
cnf(s1054,plain,
( ~ spl0_23
| spl0_151
| ~ spl0_285
| ~ spl0_301
| spl0_333 ),
inference(sat_conversion,[],[f12118]) ).
cnf(s1061,plain,
( spl0_18
| ~ spl0_82
| spl0_113
| spl0_148 ),
inference(sat_conversion,[],[f12130]) ).
cnf(s1063,plain,
( spl0_36
| ~ spl0_263
| ~ spl0_331 ),
inference(sat_conversion,[],[f12134]) ).
cnf(s1071,plain,
( spl0_6
| spl0_110
| spl0_148
| ~ spl0_214 ),
inference(sat_conversion,[],[f12144]) ).
cnf(s1072,plain,
( ~ spl0_25
| spl0_50
| spl0_83
| spl0_110
| spl0_148 ),
inference(sat_conversion,[],[f12145]) ).
cnf(s1075,plain,
( ~ spl0_9
| ~ spl0_206
| ~ spl0_265
| spl0_345 ),
inference(sat_conversion,[],[f12149]) ).
cnf(s1102,plain,
~ spl0_268,
inference(sat_conversion,[],[f12375]) ).
cnf(s1107,plain,
( ~ spl0_93
| spl0_255
| ~ spl0_345 ),
inference(sat_conversion,[],[f12404]) ).
cnf(s1108,plain,
( ~ spl0_15
| ~ spl0_200
| ~ spl0_210 ),
inference(sat_conversion,[],[f12439]) ).
cnf(s1111,plain,
( ~ spl0_239
| spl0_345
| ~ spl0_354 ),
inference(sat_conversion,[],[f12475]) ).
cnf(s1117,plain,
( ~ spl0_64
| ~ spl0_143
| ~ spl0_148 ),
inference(sat_conversion,[],[f12529]) ).
cnf(s1123,plain,
( ~ spl0_8
| ~ spl0_331
| ~ spl0_345 ),
inference(sat_conversion,[],[f12578]) ).
cnf(s1130,plain,
( ~ spl0_64
| ~ spl0_253
| ~ spl0_269 ),
inference(sat_conversion,[],[f12648]) ).
cnf(s1132,plain,
( spl0_263
| spl0_363 ),
inference(sat_conversion,[],[f12656]) ).
cnf(s1139,plain,
( spl0_2
| ~ spl0_9
| ~ spl0_25
| spl0_269
| ~ spl0_331 ),
inference(sat_conversion,[],[f12691]) ).
cnf(s1149,plain,
( ~ spl0_97
| ~ spl0_231
| ~ spl0_240 ),
inference(sat_conversion,[],[f12759]) ).
cnf(s1151,plain,
( ~ spl0_72
| ~ spl0_248
| ~ spl0_276 ),
inference(sat_conversion,[],[f12806]) ).
cnf(s1152,plain,
( ~ spl0_19
| ~ spl0_271
| ~ spl0_277
| spl0_338 ),
inference(sat_conversion,[],[f12823]) ).
cnf(s1160,plain,
( ~ spl0_110
| ~ spl0_248
| ~ spl0_270 ),
inference(sat_conversion,[],[f12921]) ).
cnf(s1163,plain,
( ~ spl0_18
| spl0_76
| ~ spl0_251
| ~ spl0_275 ),
inference(sat_conversion,[],[f12949]) ).
cnf(s1164,plain,
( ~ spl0_18
| spl0_56
| ~ spl0_93
| ~ spl0_275
| ~ spl0_335 ),
inference(sat_conversion,[],[f12950]) ).
cnf(s1166,plain,
( spl0_14
| ~ spl0_15
| spl0_64
| ~ spl0_210 ),
inference(sat_conversion,[],[f12952]) ).
cnf(s1169,plain,
( spl0_64
| ~ spl0_72
| ~ spl0_97
| ~ spl0_206 ),
inference(sat_conversion,[],[f12959]) ).
cnf(s1171,plain,
( ~ spl0_72
| ~ spl0_206
| ~ spl0_248
| spl0_335 ),
inference(sat_conversion,[],[f12961]) ).
cnf(s1176,plain,
( ~ spl0_13
| spl0_270
| ~ spl0_350 ),
inference(sat_conversion,[],[f12971]) ).
cnf(s1177,plain,
( ~ spl0_240
| ~ spl0_248
| spl0_270
| spl0_272
| ~ spl0_301 ),
inference(sat_conversion,[],[f12974]) ).
cnf(s1185,plain,
~ spl0_77,
inference(sat_conversion,[],[f13076]) ).
cnf(s1188,plain,
( ~ spl0_241
| spl0_254 ),
inference(sat_conversion,[],[f13121]) ).
cnf(s1192,plain,
( spl0_160
| spl0_358 ),
inference(sat_conversion,[],[f13133]) ).
cnf(s1194,plain,
( ~ spl0_2
| ~ spl0_151
| spl0_356 ),
inference(sat_conversion,[],[f13142]) ).
cnf(s1195,plain,
( spl0_75
| spl0_110
| spl0_240
| ~ spl0_301 ),
inference(sat_conversion,[],[f13154]) ).
cnf(s1201,plain,
( spl0_14
| ~ spl0_15
| ~ spl0_93
| ~ spl0_256
| ~ spl0_354 ),
inference(sat_conversion,[],[f13216]) ).
cnf(s1202,plain,
( ~ spl0_57
| ~ spl0_72
| ~ spl0_97 ),
inference(sat_conversion,[],[f13236]) ).
cnf(s1203,plain,
( ~ spl0_2
| ~ spl0_50
| ~ spl0_57 ),
inference(sat_conversion,[],[f13238]) ).
cnf(s1204,plain,
( spl0_240
| spl0_241 ),
inference(sat_conversion,[],[f13239]) ).
cnf(s1205,plain,
( ~ spl0_57
| ~ spl0_148
| spl0_241 ),
inference(sat_conversion,[],[f13242]) ).
cnf(s1206,plain,
( ~ spl0_64
| ~ spl0_109
| ~ spl0_148 ),
inference(sat_conversion,[],[f13243]) ).
cnf(s1209,plain,
( spl0_59
| ~ spl0_93
| ~ spl0_358
| spl0_376 ),
inference(sat_conversion,[],[f13308]) ).
cnf(s1211,plain,
( spl0_53
| ~ spl0_93
| ~ spl0_358
| spl0_374
| ~ spl0_375 ),
inference(sat_conversion,[],[f13312]) ).
cnf(s1212,plain,
( spl0_57
| ~ spl0_93
| ~ spl0_358
| spl0_374
| ~ spl0_377 ),
inference(sat_conversion,[],[f13316]) ).
cnf(s1213,plain,
( spl0_333
| spl0_377
| spl0_378 ),
inference(sat_conversion,[],[f13327]) ).
cnf(s1216,plain,
( ~ spl0_2
| ~ spl0_358
| ~ spl0_378 ),
inference(sat_conversion,[],[f13334]) ).
cnf(s1217,plain,
( spl0_355
| spl0_375
| spl0_379 ),
inference(sat_conversion,[],[f13346]) ).
cnf(s1218,plain,
( spl0_355
| spl0_375 ),
inference(sat_conversion,[],[f13349]) ).
cnf(s1219,plain,
( spl0_75
| spl0_355
| spl0_375 ),
inference(sat_conversion,[],[f13350]) ).
cnf(s1222,plain,
( spl0_208
| ~ spl0_213 ),
inference(sat_conversion,[],[f13367]) ).
cnf(s1231,plain,
( ~ spl0_2
| ~ spl0_67
| ~ spl0_72 ),
inference(sat_conversion,[],[f13422]) ).
cnf(s1232,plain,
( ~ spl0_13
| ~ spl0_111
| spl0_113 ),
inference(sat_conversion,[],[f13423]) ).
cnf(s1255,plain,
~ spl0_22,
inference(sat_conversion,[],[f13537]) ).
cnf(s1260,plain,
( ~ spl0_2
| ~ spl0_11
| spl0_36 ),
inference(sat_conversion,[],[f13565]) ).
cnf(s1263,plain,
( ~ spl0_8
| ~ spl0_65
| ~ spl0_332 ),
inference(sat_conversion,[],[f13591]) ).
cnf(s1265,plain,
( ~ spl0_210
| spl0_380 ),
inference(sat_conversion,[],[f13610]) ).
cnf(s1268,plain,
( ~ spl0_124
| spl0_231
| ~ spl0_240 ),
inference(sat_conversion,[],[f13689]) ).
cnf(s1273,plain,
( ~ spl0_124
| spl0_265
| ~ spl0_338 ),
inference(sat_conversion,[],[f13696]) ).
cnf(s1276,plain,
( ~ spl0_124
| spl0_286
| ~ spl0_328 ),
inference(sat_conversion,[],[f13699]) ).
cnf(s1279,plain,
( spl0_151
| spl0_286 ),
inference(sat_conversion,[],[f13746]) ).
cnf(s1282,plain,
( ~ spl0_6
| ~ spl0_84
| ~ spl0_252
| spl0_345 ),
inference(sat_conversion,[],[f13820]) ).
cnf(s1293,plain,
~ spl0_336,
inference(sat_conversion,[],[f13913]) ).
cnf(s1294,plain,
( ~ spl0_3
| ~ spl0_345
| spl0_354 ),
inference(sat_conversion,[],[f13929]) ).
cnf(s1300,plain,
( ~ spl0_70
| ~ spl0_249
| ~ spl0_370 ),
inference(sat_conversion,[],[f14022]) ).
cnf(s1304,plain,
( ~ spl0_97
| ~ spl0_200
| ~ spl0_250
| ~ spl0_278 ),
inference(sat_conversion,[],[f14059]) ).
cnf(s1310,plain,
( ~ spl0_8
| spl0_278
| ~ spl0_332 ),
inference(sat_conversion,[],[f14074]) ).
cnf(s1312,plain,
( spl0_278
| spl0_335 ),
inference(sat_conversion,[],[f14077]) ).
cnf(s1321,plain,
~ spl0_334,
inference(sat_conversion,[],[f14159]) ).
cnf(s1323,plain,
( spl0_276
| spl0_348 ),
inference(sat_conversion,[],[f14173]) ).
cnf(s1324,plain,
( spl0_272
| spl0_276
| spl0_348 ),
inference(sat_conversion,[],[f14174]) ).
cnf(s1327,plain,
( ~ spl0_70
| ~ spl0_200
| ~ spl0_229 ),
inference(sat_conversion,[],[f14200]) ).
cnf(s1333,plain,
( ~ spl0_2
| ~ spl0_270
| spl0_271 ),
inference(sat_conversion,[],[f14259]) ).
cnf(s1339,plain,
( ~ spl0_56
| ~ spl0_113
| ~ spl0_148 ),
inference(sat_conversion,[],[f14318]) ).
cnf(s1340,plain,
( spl0_110
| ~ spl0_118
| spl0_148 ),
inference(sat_conversion,[],[f14355]) ).
cnf(s1341,plain,
( ~ spl0_111
| spl0_148
| ~ spl0_214 ),
inference(sat_conversion,[],[f14356]) ).
cnf(s1350,plain,
( ~ spl0_6
| spl0_64
| ~ spl0_97
| ~ spl0_250
| ~ spl0_278 ),
inference(sat_conversion,[],[f14465]) ).
cnf(s1359,plain,
( ~ spl0_6
| spl0_67
| ~ spl0_251
| ~ spl0_278 ),
inference(sat_conversion,[],[f14500]) ).
cnf(s1370,plain,
( spl0_285
| ~ spl0_374
| spl0_382 ),
inference(sat_conversion,[],[f14625]) ).
cnf(s1371,plain,
( spl0_151
| ~ spl0_374
| spl0_383 ),
inference(sat_conversion,[],[f14629]) ).
cnf(s1372,plain,
( ~ spl0_97
| ~ spl0_250
| spl0_277
| ~ spl0_348
| ~ spl0_380 ),
inference(sat_conversion,[],[f14664]) ).
cnf(s1373,plain,
( spl0_6
| ~ spl0_97
| ~ spl0_214
| ~ spl0_250
| spl0_270 ),
inference(sat_conversion,[],[f14702]) ).
cnf(s1374,plain,
( spl0_14
| ~ spl0_97
| ~ spl0_210
| ~ spl0_250
| ~ spl0_271 ),
inference(sat_conversion,[],[f14703]) ).
cnf(s1380,plain,
( ~ spl0_8
| ~ spl0_335
| ~ spl0_338 ),
inference(sat_conversion,[],[f14796]) ).
cnf(s1383,plain,
( ~ spl0_19
| ~ spl0_112
| ~ spl0_241 ),
inference(sat_conversion,[],[f14816]) ).
cnf(s1384,plain,
( ~ spl0_2
| ~ spl0_276
| ~ spl0_335 ),
inference(sat_conversion,[],[f14822]) ).
cnf(s1385,plain,
( ~ spl0_23
| ~ spl0_355
| spl0_356 ),
inference(sat_conversion,[],[f14823]) ).
cnf(s1386,plain,
( ~ spl0_57
| ~ spl0_253
| spl0_354 ),
inference(sat_conversion,[],[f14824]) ).
cnf(s1387,plain,
( ~ spl0_15
| ~ spl0_271
| ~ spl0_370 ),
inference(sat_conversion,[],[f14825]) ).
cnf(s1388,plain,
( ~ spl0_231
| ~ spl0_256
| spl0_354 ),
inference(sat_conversion,[],[f14826]) ).
cnf(s1390,plain,
( ~ spl0_13
| spl0_285
| ~ spl0_383 ),
inference(sat_conversion,[],[f14828]) ).
cnf(s1391,plain,
( spl0_36
| ~ spl0_355
| ~ spl0_378 ),
inference(sat_conversion,[],[f14830]) ).
cnf(s1400,plain,
( spl0_22
| spl0_67
| ~ spl0_107 ),
inference(sat_conversion,[],[f14892]) ).
cnf(s1402,plain,
( ~ spl0_11
| ~ spl0_151
| ~ spl0_355 ),
inference(sat_conversion,[],[f14902]) ).
cnf(s1405,plain,
( ~ spl0_19
| ~ spl0_356
| ~ spl0_382 ),
inference(sat_conversion,[],[f14944]) ).
cnf(s1407,plain,
( ~ spl0_356
| spl0_372
| ~ spl0_374 ),
inference(sat_conversion,[],[f14946]) ).
cnf(s1408,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_23 ),
inference(sat_conversion,[],[f14966]) ).
cnf(s1415,plain,
( ~ spl0_3
| ~ spl0_335
| ~ spl0_337 ),
inference(sat_conversion,[],[f15104]) ).
cnf(s1416,plain,
( ~ spl0_67
| ~ spl0_248
| ~ spl0_335 ),
inference(sat_conversion,[],[f15105]) ).
cnf(s1417,plain,
( ~ spl0_3
| spl0_271
| ~ spl0_335 ),
inference(sat_conversion,[],[f15106]) ).
cnf(s1418,plain,
( ~ spl0_67
| spl0_143 ),
inference(sat_conversion,[],[f15115]) ).
cnf(s1420,plain,
( ~ spl0_6
| ~ spl0_15
| spl0_345
| ~ spl0_354 ),
inference(sat_conversion,[],[f15163]) ).
cnf(s1423,plain,
( ~ spl0_53
| ~ spl0_97
| ~ spl0_251
| ~ spl0_275
| spl0_277 ),
inference(sat_conversion,[],[f15206]) ).
cnf(s1427,plain,
( ~ spl0_27
| ~ spl0_53
| ~ spl0_97
| ~ spl0_241 ),
inference(sat_conversion,[],[f15223]) ).
cnf(s1428,plain,
( ~ spl0_27
| spl0_355
| ~ spl0_356 ),
inference(sat_conversion,[],[f15224]) ).
cnf(s1429,plain,
( ~ spl0_240
| ~ spl0_248
| spl0_271 ),
inference(sat_conversion,[],[f15225]) ).
cnf(s1432,plain,
( ~ spl0_3
| ~ spl0_143
| ~ spl0_240 ),
inference(sat_conversion,[],[f15273]) ).
cnf(s1447,plain,
( ~ spl0_27
| spl0_56
| ~ spl0_210 ),
inference(sat_conversion,[],[f15509]) ).
cnf(s1448,plain,
( ~ spl0_27
| spl0_76
| ~ spl0_241 ),
inference(sat_conversion,[],[f15510]) ).
cnf(s1451,plain,
( ~ spl0_6
| ~ spl0_15
| spl0_64
| ~ spl0_210 ),
inference(sat_conversion,[],[f15515]) ).
cnf(s1457,plain,
( ~ spl0_8
| ~ spl0_65
| ~ spl0_338 ),
inference(sat_conversion,[],[f15583]) ).
cnf(s1469,plain,
( ~ spl0_6
| ~ spl0_15
| spl0_67
| ~ spl0_241 ),
inference(sat_conversion,[],[f15599]) ).
cnf(s1473,plain,
( ~ spl0_6
| ~ spl0_16
| spl0_64
| ~ spl0_82 ),
inference(sat_conversion,[],[f15603]) ).
cnf(s1475,plain,
( ~ spl0_53
| ~ spl0_97
| ~ spl0_113 ),
inference(sat_conversion,[],[f15656]) ).
cnf(s1485,plain,
( ~ spl0_16
| spl0_53
| ~ spl0_200 ),
inference(sat_conversion,[],[f15758]) ).
cnf(s1486,plain,
( ~ spl0_11
| ~ spl0_355
| ~ spl0_358 ),
inference(sat_conversion,[],[f15770]) ).
cnf(s1492,plain,
( ~ spl0_11
| ~ spl0_331
| ~ spl0_345 ),
inference(sat_conversion,[],[f15815]) ).
cnf(s1497,plain,
( ~ spl0_11
| ~ spl0_332
| ~ spl0_335 ),
inference(sat_conversion,[],[f15881]) ).
cnf(s1506,plain,
( spl0_53
| ~ spl0_97
| ~ spl0_250
| ~ spl0_275
| spl0_277 ),
inference(sat_conversion,[],[f16000]) ).
cnf(s1507,plain,
( spl0_17
| ~ spl0_47 ),
inference(sat_conversion,[],[f16006]) ).
cnf(s1509,plain,
( ~ spl0_11
| ~ spl0_265
| ~ spl0_269 ),
inference(sat_conversion,[],[f16018]) ).
cnf(s1520,plain,
( ~ spl0_76
| ~ spl0_248
| ~ spl0_338 ),
inference(sat_conversion,[],[f16104]) ).
cnf(s1521,plain,
( spl0_11
| ~ spl0_18
| spl0_40 ),
inference(sat_conversion,[],[f16105]) ).
cnf(s1522,plain,
( ~ spl0_11
| ~ spl0_270
| ~ spl0_338 ),
inference(sat_conversion,[],[f16106]) ).
cnf(s1523,plain,
( ~ spl0_53
| ~ spl0_253
| ~ spl0_265 ),
inference(sat_conversion,[],[f16107]) ).
cnf(s1525,plain,
( ~ spl0_16
| spl0_265
| ~ spl0_349 ),
inference(sat_conversion,[],[f16109]) ).
cnf(s1528,plain,
( ~ spl0_9
| ~ spl0_53
| spl0_210 ),
inference(sat_conversion,[],[f16125]) ).
cnf(s1530,plain,
( ~ spl0_9
| spl0_271
| ~ spl0_338 ),
inference(sat_conversion,[],[f16127]) ).
cnf(s1531,plain,
( ~ spl0_9
| ~ spl0_53
| ~ spl0_57 ),
inference(sat_conversion,[],[f16128]) ).
cnf(s1532,plain,
( ~ spl0_5
| spl0_11
| ~ spl0_18
| ~ spl0_36 ),
inference(sat_conversion,[],[f16129]) ).
cnf(s1534,plain,
( ~ spl0_97
| ~ spl0_231
| spl0_241 ),
inference(sat_conversion,[],[f16131]) ).
cnf(s1544,plain,
( spl0_14
| ~ spl0_15
| spl0_50
| ~ spl0_210 ),
inference(sat_conversion,[],[f16171]) ).
cnf(s1545,plain,
( ~ spl0_11
| ~ spl0_56
| ~ spl0_64 ),
inference(sat_conversion,[],[f16215]) ).
cnf(s1551,plain,
( spl0_321
| spl0_345 ),
inference(sat_conversion,[],[f16280]) ).
cnf(s1553,plain,
( ~ spl0_9
| ~ spl0_276
| ~ spl0_332 ),
inference(sat_conversion,[],[f16291]) ).
cnf(s1554,plain,
( ~ spl0_67
| ~ spl0_93
| ~ spl0_97 ),
inference(sat_conversion,[],[f16301]) ).
cnf(s1556,plain,
( spl0_14
| ~ spl0_15
| spl0_269
| ~ spl0_354 ),
inference(sat_conversion,[],[f16322]) ).
cnf(s1559,plain,
( spl0_22
| spl0_64
| ~ spl0_79 ),
inference(sat_conversion,[],[f16343]) ).
cnf(s1571,plain,
( ~ spl0_15
| ~ spl0_349
| ~ spl0_354 ),
inference(sat_conversion,[],[f16455]) ).
cnf(s1576,plain,
( spl0_64
| ~ spl0_97
| ~ spl0_250
| spl0_277
| ~ spl0_278 ),
inference(sat_conversion,[],[f16526]) ).
cnf(s1578,plain,
( ~ spl0_68
| ~ spl0_249
| ~ spl0_350 ),
inference(sat_conversion,[],[f16584]) ).
cnf(s1579,plain,
( ~ spl0_8
| ~ spl0_265
| ~ spl0_345 ),
inference(sat_conversion,[],[f16588]) ).
cnf(s1587,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_14 ),
inference(sat_conversion,[],[f16683]) ).
cnf(s1588,plain,
( ~ spl0_14
| spl0_72
| ~ spl0_251
| ~ spl0_348 ),
inference(sat_conversion,[],[f16685]) ).
cnf(s1589,plain,
( ~ spl0_31
| ~ spl0_68
| ~ spl0_251
| spl0_332 ),
inference(sat_conversion,[],[f16714]) ).
cnf(s1591,plain,
( ~ spl0_5
| spl0_6
| spl0_50
| ~ spl0_380 ),
inference(sat_conversion,[],[f16728]) ).
cnf(s1592,plain,
( ~ spl0_5
| spl0_6
| spl0_269
| ~ spl0_354 ),
inference(sat_conversion,[],[f16771]) ).
cnf(s1594,plain,
( spl0_2
| spl0_57
| ~ spl0_118 ),
inference(sat_conversion,[],[f16824]) ).
cnf(s1595,plain,
( spl0_11
| spl0_56
| ~ spl0_118 ),
inference(sat_conversion,[],[f16825]) ).
cnf(s1596,plain,
( spl0_270
| ~ spl0_277
| spl0_370 ),
inference(sat_conversion,[],[f16826]) ).
cnf(s1598,plain,
( ~ spl0_277
| spl0_338
| spl0_350 ),
inference(sat_conversion,[],[f16831]) ).
cnf(s1603,plain,
( ~ spl0_2
| ~ spl0_270
| ~ spl0_276 ),
inference(sat_conversion,[],[f16915]) ).
cnf(s1605,plain,
( ~ spl0_9
| ~ spl0_53
| ~ spl0_231 ),
inference(sat_conversion,[],[f16930]) ).
cnf(s1610,plain,
( ~ spl0_9
| ~ spl0_276
| ~ spl0_338 ),
inference(sat_conversion,[],[f17009]) ).
cnf(s1612,plain,
( spl0_14
| ~ spl0_36
| spl0_56
| ~ spl0_210 ),
inference(sat_conversion,[],[f17014]) ).
cnf(s1613,plain,
( spl0_8
| ~ spl0_26
| spl0_47 ),
inference(sat_conversion,[],[f17015]) ).
cnf(s1614,plain,
( ~ spl0_53
| ~ spl0_76
| ~ spl0_97 ),
inference(sat_conversion,[],[f17017]) ).
cnf(s1615,plain,
( spl0_14
| ~ spl0_36
| ~ spl0_53
| ~ spl0_97
| ~ spl0_241 ),
inference(sat_conversion,[],[f17018]) ).
cnf(s1616,plain,
( spl0_14
| ~ spl0_36
| ~ spl0_53
| ~ spl0_256
| ~ spl0_354 ),
inference(sat_conversion,[],[f17019]) ).
cnf(s1618,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_23 ),
inference(sat_conversion,[],[f17050]) ).
cnf(s1619,plain,
( ~ spl0_3
| ~ spl0_11
| spl0_36 ),
inference(sat_conversion,[],[f17053]) ).
cnf(s1622,plain,
( ~ spl0_271
| ~ spl0_277
| spl0_385 ),
inference(sat_conversion,[],[f17097]) ).
cnf(s1631,plain,
( ~ spl0_143
| ~ spl0_250
| ~ spl0_335 ),
inference(sat_conversion,[],[f17235]) ).
cnf(s1639,plain,
( ~ spl0_16
| spl0_110
| ~ spl0_112 ),
inference(sat_conversion,[],[f17320]) ).
cnf(s1641,plain,
( ~ spl0_67
| ~ spl0_248
| ~ spl0_270 ),
inference(sat_conversion,[],[f17329]) ).
cnf(s1642,plain,
( ~ spl0_14
| spl0_57
| ~ spl0_97
| ~ spl0_250
| ~ spl0_348 ),
inference(sat_conversion,[],[f17365]) ).
cnf(s1648,plain,
( spl0_67
| spl0_77
| ~ spl0_78 ),
inference(sat_conversion,[],[f17511]) ).
cnf(s1658,plain,
( spl0_50
| spl0_57
| spl0_74
| ~ spl0_317 ),
inference(sat_conversion,[],[f17583]) ).
cnf(s1686,plain,
( ~ spl0_40
| spl0_203 ),
inference(sat_conversion,[],[f17890]) ).
cnf(s1688,plain,
( spl0_50
| spl0_231
| ~ spl0_319 ),
inference(sat_conversion,[],[f17923]) ).
cnf(s1689,plain,
( ~ spl0_23
| spl0_50
| ~ spl0_53
| ~ spl0_319 ),
inference(sat_conversion,[],[f17926]) ).
cnf(s1690,plain,
( spl0_64
| ~ spl0_208
| spl0_231 ),
inference(sat_conversion,[],[f17957]) ).
cnf(s1692,plain,
( ~ spl0_23
| ~ spl0_208
| spl0_335
| ~ spl0_338 ),
inference(sat_conversion,[],[f17961]) ).
cnf(s1701,plain,
( spl0_77
| spl0_389
| spl0_390 ),
inference(sat_conversion,[],[f18111]) ).
cnf(s1702,plain,
( spl0_77
| spl0_391
| spl0_392 ),
inference(sat_conversion,[],[f18118]) ).
cnf(s1703,plain,
( spl0_77
| spl0_393
| spl0_394 ),
inference(sat_conversion,[],[f18125]) ).
cnf(s1704,plain,
( spl0_77
| spl0_395
| spl0_396 ),
inference(sat_conversion,[],[f18132]) ).
cnf(s1705,plain,
( spl0_77
| spl0_397
| spl0_398 ),
inference(sat_conversion,[],[f18139]) ).
cnf(s1706,plain,
( spl0_77
| spl0_399
| spl0_400 ),
inference(sat_conversion,[],[f18146]) ).
cnf(s1707,plain,
( ~ spl0_13
| ~ spl0_25
| spl0_77
| spl0_113
| ~ spl0_328 ),
inference(sat_conversion,[],[f18148]) ).
cnf(s1709,plain,
( ~ spl0_18
| ~ spl0_140
| spl0_355
| ~ spl0_391 ),
inference(sat_conversion,[],[f18171]) ).
cnf(s1727,plain,
( spl0_69
| ~ spl0_73
| ~ spl0_354
| ~ spl0_395 ),
inference(sat_conversion,[],[f18327]) ).
cnf(s1733,plain,
( ~ spl0_97
| ~ spl0_253
| ~ spl0_396 ),
inference(sat_conversion,[],[f18347]) ).
cnf(s1736,plain,
( ~ spl0_55
| spl0_139
| ~ spl0_252
| ~ spl0_354 ),
inference(sat_conversion,[],[f18398]) ).
cnf(s1739,plain,
( spl0_22
| ~ spl0_248
| ~ spl0_389
| spl0_404 ),
inference(sat_conversion,[],[f18428]) ).
cnf(s1740,plain,
( ~ spl0_254
| spl0_374
| ~ spl0_377
| ~ spl0_404 ),
inference(sat_conversion,[],[f18450]) ).
cnf(s1743,plain,
( ~ spl0_18
| ~ spl0_53
| ~ spl0_97
| ~ spl0_375
| ~ spl0_404 ),
inference(sat_conversion,[],[f18463]) ).
cnf(s1747,plain,
( ~ spl0_26
| ~ spl0_70
| ~ spl0_270
| ~ spl0_389
| ~ spl0_404 ),
inference(sat_conversion,[],[f18467]) ).
cnf(s1750,plain,
( ~ spl0_377
| ~ spl0_385
| ~ spl0_390 ),
inference(sat_conversion,[],[f18497]) ).
cnf(s1751,plain,
( ~ spl0_26
| ~ spl0_278
| spl0_358
| ~ spl0_390 ),
inference(sat_conversion,[],[f18498]) ).
cnf(s1759,plain,
( spl0_83
| spl0_404
| spl0_408 ),
inference(sat_conversion,[],[f18541]) ).
cnf(s1760,plain,
( ~ spl0_97
| ~ spl0_398
| ~ spl0_408 ),
inference(sat_conversion,[],[f18552]) ).
cnf(s1767,plain,
( ~ spl0_3
| ~ spl0_26
| ~ spl0_70
| ~ spl0_378
| ~ spl0_404 ),
inference(sat_conversion,[],[f18586]) ).
cnf(s1771,plain,
( ~ spl0_3
| ~ spl0_9
| spl0_77
| ~ spl0_138 ),
inference(sat_conversion,[],[f18625]) ).
cnf(s1772,plain,
( spl0_6
| ~ spl0_251
| spl0_270
| ~ spl0_328 ),
inference(sat_conversion,[],[f18627]) ).
cnf(s1785,plain,
( ~ spl0_223
| ~ spl0_356
| ~ spl0_397 ),
inference(sat_conversion,[],[f18714]) ).
cnf(s1787,plain,
( ~ spl0_160
| ~ spl0_200
| ~ spl0_397 ),
inference(sat_conversion,[],[f18717]) ).
cnf(s1788,plain,
( ~ spl0_26
| ~ spl0_84
| spl0_358
| ~ spl0_397 ),
inference(sat_conversion,[],[f18719]) ).
cnf(s1792,plain,
( ~ spl0_53
| ~ spl0_355
| ~ spl0_398 ),
inference(sat_conversion,[],[f18730]) ).
cnf(s1807,plain,
( ~ spl0_56
| ~ spl0_355
| ~ spl0_392 ),
inference(sat_conversion,[],[f18900]) ).
cnf(s1809,plain,
( ~ spl0_55
| spl0_139
| ~ spl0_356
| ~ spl0_391 ),
inference(sat_conversion,[],[f18926]) ).
cnf(s1810,plain,
( ~ spl0_210
| ~ spl0_372
| ~ spl0_391 ),
inference(sat_conversion,[],[f18928]) ).
cnf(s1815,plain,
( ~ spl0_335
| ~ spl0_358
| ~ spl0_389 ),
inference(sat_conversion,[],[f19005]) ).
cnf(s1816,plain,
( ~ spl0_26
| ~ spl0_70
| spl0_358
| ~ spl0_404 ),
inference(sat_conversion,[],[f19008]) ).
cnf(s1821,plain,
( ~ spl0_67
| ~ spl0_345
| ~ spl0_396 ),
inference(sat_conversion,[],[f19014]) ).
cnf(s1822,plain,
( ~ spl0_6
| spl0_67
| ~ spl0_251
| ~ spl0_278 ),
inference(sat_conversion,[],[f19015]) ).
cnf(s1826,plain,
( ~ spl0_16
| spl0_338
| ~ spl0_370 ),
inference(sat_conversion,[],[f19019]) ).
cnf(s1827,plain,
( spl0_18
| ~ spl0_251
| spl0_338
| ~ spl0_346 ),
inference(sat_conversion,[],[f19020]) ).
cnf(s1836,plain,
( spl0_14
| ~ spl0_241
| ~ spl0_251
| ~ spl0_271 ),
inference(sat_conversion,[],[f19029]) ).
cnf(s1838,plain,
( ~ spl0_6
| spl0_67
| ~ spl0_160
| ~ spl0_404 ),
inference(sat_conversion,[],[f19031]) ).
cnf(s1844,plain,
( ~ spl0_2
| ~ spl0_110
| spl0_241 ),
inference(sat_conversion,[],[f19062]) ).
cnf(s1852,plain,
( ~ spl0_53
| ~ spl0_285
| ~ spl0_392 ),
inference(sat_conversion,[],[f19136]) ).
cnf(s1853,plain,
( ~ spl0_16
| spl0_151
| ~ spl0_382 ),
inference(sat_conversion,[],[f19137]) ).
cnf(s1862,plain,
( ~ spl0_118
| spl0_151
| ~ spl0_391 ),
inference(sat_conversion,[],[f19227]) ).
cnf(s1864,plain,
( ~ spl0_26
| spl0_64
| ~ spl0_160
| ~ spl0_391 ),
inference(sat_conversion,[],[f19229]) ).
cnf(s1866,plain,
( ~ spl0_6
| ~ spl0_84
| spl0_358
| ~ spl0_391 ),
inference(sat_conversion,[],[f19232]) ).
cnf(s1869,plain,
( ~ spl0_2
| ~ spl0_269
| spl0_354 ),
inference(sat_conversion,[],[f19235]) ).
cnf(s1872,plain,
( ~ spl0_223
| ~ spl0_229
| ~ spl0_241 ),
inference(sat_conversion,[],[f19258]) ).
cnf(s1873,plain,
( ~ spl0_3
| spl0_356
| ~ spl0_358 ),
inference(sat_conversion,[],[f19288]) ).
cnf(s1878,plain,
( ~ spl0_71
| spl0_72
| ~ spl0_210 ),
inference(sat_conversion,[],[f19392]) ).
cnf(s1880,plain,
( ~ spl0_276
| ~ spl0_378
| ~ spl0_389 ),
inference(sat_conversion,[],[f19437]) ).
cnf(s1882,plain,
( ~ spl0_143
| ~ spl0_358
| ~ spl0_408 ),
inference(sat_conversion,[],[f19445]) ).
cnf(s1887,plain,
( ~ spl0_160
| spl0_270
| spl0_374
| ~ spl0_390 ),
inference(sat_conversion,[],[f19556]) ).
cnf(s1892,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_160
| ~ spl0_276
| ~ spl0_390 ),
inference(sat_conversion,[],[f19563]) ).
cnf(s1893,plain,
( ~ spl0_251
| spl0_374
| ~ spl0_390
| ~ spl0_404 ),
inference(sat_conversion,[],[f19564]) ).
cnf(s1897,plain,
( ~ spl0_3
| ~ spl0_26
| ~ spl0_84
| ~ spl0_276
| ~ spl0_392
| ~ spl0_399 ),
inference(sat_conversion,[],[f19609]) ).
cnf(s1898,plain,
( ~ spl0_6
| spl0_64
| ~ spl0_278
| ~ spl0_392
| ~ spl0_399 ),
inference(sat_conversion,[],[f19610]) ).
cnf(s1902,plain,
( ~ spl0_271
| ~ spl0_372
| ~ spl0_400 ),
inference(sat_conversion,[],[f19641]) ).
cnf(s1915,plain,
( spl0_50
| spl0_277
| ~ spl0_278
| ~ spl0_398
| ~ spl0_399 ),
inference(sat_conversion,[],[f19754]) ).
cnf(s1916,plain,
( spl0_64
| spl0_277
| ~ spl0_278
| ~ spl0_398
| ~ spl0_399 ),
inference(sat_conversion,[],[f19755]) ).
cnf(s1917,plain,
( ~ spl0_82
| ~ spl0_382
| ~ spl0_391 ),
inference(sat_conversion,[],[f19756]) ).
cnf(s1919,plain,
( ~ spl0_50
| ~ spl0_151
| ~ spl0_398 ),
inference(sat_conversion,[],[f19758]) ).
cnf(s1924,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_26
| ~ spl0_82
| ~ spl0_84 ),
inference(sat_conversion,[],[f19834]) ).
cnf(s1930,plain,
( ~ spl0_64
| ~ spl0_151
| ~ spl0_392 ),
inference(sat_conversion,[],[f19914]) ).
cnf(s1937,plain,
( spl0_53
| ~ spl0_275
| spl0_277
| ~ spl0_392
| ~ spl0_399 ),
inference(sat_conversion,[],[f20011]) ).
cnf(s1948,plain,
( ~ spl0_214
| ~ spl0_383
| ~ spl0_391 ),
inference(sat_conversion,[],[f20122]) ).
cnf(s1950,plain,
( ~ spl0_76
| spl0_139
| ~ spl0_140
| ~ spl0_391
| ~ spl0_408 ),
inference(sat_conversion,[],[f20126]) ).
cnf(s1952,plain,
( spl0_59
| spl0_339
| ~ spl0_398
| ~ spl0_399 ),
inference(sat_conversion,[],[f20164]) ).
cnf(s1954,plain,
( ~ spl0_53
| ~ spl0_285
| ~ spl0_398 ),
inference(sat_conversion,[],[f20166]) ).
cnf(s1961,plain,
( ~ spl0_14
| ~ spl0_55
| spl0_378
| ~ spl0_391 ),
inference(sat_conversion,[],[f20256]) ).
cnf(s1963,plain,
( ~ spl0_276
| spl0_356
| ~ spl0_399 ),
inference(sat_conversion,[],[f20259]) ).
cnf(s1972,plain,
( ~ spl0_93
| ~ spl0_206
| ~ spl0_276
| ~ spl0_398
| ~ spl0_399 ),
inference(sat_conversion,[],[f20415]) ).
cnf(s1973,plain,
( ~ spl0_73
| ~ spl0_139
| ~ spl0_210
| ~ spl0_229 ),
inference(sat_conversion,[],[f20452]) ).
cnf(s1976,plain,
( spl0_3
| ~ spl0_26
| ~ spl0_160
| ~ spl0_356 ),
inference(sat_conversion,[],[f20455]) ).
cnf(s1978,plain,
( ~ spl0_148
| ~ spl0_392
| ~ spl0_408 ),
inference(sat_conversion,[],[f20457]) ).
cnf(s1980,plain,
( spl0_14
| ~ spl0_15
| ~ spl0_356
| spl0_358 ),
inference(sat_conversion,[],[f20459]) ).
cnf(s1981,plain,
( spl0_271
| ~ spl0_378
| ~ spl0_389 ),
inference(sat_conversion,[],[f20460]) ).
cnf(s1983,plain,
( spl0_14
| ~ spl0_15
| spl0_110
| ~ spl0_241 ),
inference(sat_conversion,[],[f20462]) ).
cnf(s1988,plain,
( spl0_14
| ~ spl0_15
| spl0_67
| ~ spl0_241 ),
inference(sat_conversion,[],[f20468]) ).
cnf(s1990,plain,
( ~ spl0_26
| ~ spl0_70
| ~ spl0_251
| spl0_335 ),
inference(sat_conversion,[],[f20470]) ).
cnf(s1991,plain,
( spl0_3
| ~ spl0_26
| ~ spl0_70
| ~ spl0_241 ),
inference(sat_conversion,[],[f20471]) ).
cnf(s1992,plain,
( spl0_14
| ~ spl0_36
| spl0_53
| ~ spl0_210 ),
inference(sat_conversion,[],[f20472]) ).
cnf(s1998,plain,
( spl0_56
| ~ spl0_68
| spl0_69
| ~ spl0_229 ),
inference(sat_conversion,[],[f20553]) ).
cnf(s1999,plain,
( spl0_69
| ~ spl0_73
| ~ spl0_229
| ~ spl0_380 ),
inference(sat_conversion,[],[f20554]) ).
cnf(s2004,plain,
( ~ spl0_66
| ~ spl0_93
| ~ spl0_398 ),
inference(sat_conversion,[],[f20610]) ).
cnf(s2009,plain,
( spl0_57
| ~ spl0_255
| spl0_322
| ~ spl0_363 ),
inference(sat_conversion,[],[f20651]) ).
cnf(s2016,plain,
( ~ spl0_111
| ~ spl0_286
| ~ spl0_404 ),
inference(sat_conversion,[],[f20689]) ).
cnf(s2023,plain,
( spl0_64
| spl0_69
| ~ spl0_70
| ~ spl0_229 ),
inference(sat_conversion,[],[f20697]) ).
cnf(s2024,plain,
( spl0_113
| spl0_374
| ~ spl0_375
| ~ spl0_404 ),
inference(sat_conversion,[],[f20698]) ).
cnf(s2025,plain,
( spl0_53
| ~ spl0_68
| spl0_69
| ~ spl0_229 ),
inference(sat_conversion,[],[f20699]) ).
cnf(s2029,plain,
( spl0_374
| ~ spl0_377
| ~ spl0_380
| ~ spl0_397 ),
inference(sat_conversion,[],[f20755]) ).
cnf(s2034,plain,
( ~ spl0_112
| spl0_285
| spl0_379
| ~ spl0_404 ),
inference(sat_conversion,[],[f20809]) ).
cnf(s2036,plain,
( spl0_75
| ~ spl0_112
| spl0_285
| ~ spl0_404 ),
inference(sat_conversion,[],[f20810]) ).
cnf(s2041,plain,
( ~ spl0_56
| ~ spl0_285
| ~ spl0_392 ),
inference(sat_conversion,[],[f20868]) ).
cnf(s2051,plain,
( ~ spl0_54
| spl0_276 ),
inference(sat_conversion,[],[f20915]) ).
cnf(s2053,plain,
( ~ spl0_53
| ~ spl0_93
| ~ spl0_100 ),
inference(sat_conversion,[],[f20931]) ).
cnf(s2066,plain,
( ~ spl0_113
| ~ spl0_355
| ~ spl0_408 ),
inference(sat_conversion,[],[f21126]) ).
cnf(s2069,plain,
( ~ spl0_11
| ~ spl0_50
| ~ spl0_56 ),
inference(sat_conversion,[],[f21129]) ).
cnf(s2072,plain,
( spl0_241
| ~ spl0_378
| ~ spl0_408 ),
inference(sat_conversion,[],[f21132]) ).
cnf(s2075,plain,
( ~ spl0_72
| ~ spl0_378
| ~ spl0_408 ),
inference(sat_conversion,[],[f21135]) ).
cnf(s2083,plain,
( spl0_57
| spl0_69
| ~ spl0_73
| ~ spl0_229 ),
inference(sat_conversion,[],[f21145]) ).
cnf(s2084,plain,
( spl0_50
| spl0_69
| ~ spl0_70
| ~ spl0_229 ),
inference(sat_conversion,[],[f21146]) ).
cnf(s2099,plain,
( ~ spl0_23
| ~ spl0_56
| ~ spl0_57 ),
inference(sat_conversion,[],[f21285]) ).
cnf(s2103,plain,
( ~ spl0_143
| ~ spl0_345
| ~ spl0_393 ),
inference(sat_conversion,[],[f21330]) ).
cnf(s2105,plain,
( ~ spl0_57
| spl0_356
| ~ spl0_392 ),
inference(sat_conversion,[],[f21347]) ).
cnf(s2123,plain,
( ~ spl0_57
| ~ spl0_378
| ~ spl0_398 ),
inference(sat_conversion,[],[f21506]) ).
cnf(s2132,plain,
( spl0_275
| spl0_332
| spl0_334 ),
inference(sat_conversion,[],[f21588]) ).
cnf(s2150,plain,
( ~ spl0_6
| spl0_64
| ~ spl0_255
| ~ spl0_321 ),
inference(sat_conversion,[],[f21788]) ).
cnf(s2154,plain,
( ~ spl0_210
| ~ spl0_376
| spl0_378 ),
inference(sat_conversion,[],[f21856]) ).
cnf(s2159,plain,
( ~ spl0_229
| ~ spl0_264
| ~ spl0_395 ),
inference(sat_conversion,[],[f21906]) ).
cnf(s2160,plain,
( ~ spl0_210
| ~ spl0_264
| ~ spl0_354 ),
inference(sat_conversion,[],[f21908]) ).
cnf(s2162,plain,
( ~ spl0_110
| ~ spl0_151
| ~ spl0_408 ),
inference(sat_conversion,[],[f21932]) ).
cnf(s2165,plain,
( ~ spl0_65
| ~ spl0_143
| ~ spl0_408 ),
inference(sat_conversion,[],[f21946]) ).
cnf(s2169,plain,
( ~ spl0_57
| ~ spl0_143
| ~ spl0_206
| ~ spl0_392
| ~ spl0_408 ),
inference(sat_conversion,[],[f22073]) ).
cnf(s2171,plain,
( ~ spl0_250
| ~ spl0_399
| ~ spl0_408 ),
inference(sat_conversion,[],[f22085]) ).
cnf(s2172,plain,
( spl0_151
| spl0_277
| ~ spl0_278
| ~ spl0_400 ),
inference(sat_conversion,[],[f22104]) ).
cnf(s2175,plain,
( ~ spl0_26
| ~ spl0_143
| ~ spl0_160
| ~ spl0_250
| ~ spl0_400 ),
inference(sat_conversion,[],[f22109]) ).
cnf(s2185,plain,
( ~ spl0_2
| ~ spl0_81
| ~ spl0_276
| spl0_409 ),
inference(sat_conversion,[],[f22173]) ).
cnf(s2186,plain,
( ~ spl0_240
| ~ spl0_250
| ~ spl0_276 ),
inference(sat_conversion,[],[f22187]) ).
cnf(s2187,plain,
( ~ spl0_2
| ~ spl0_110
| ~ spl0_240 ),
inference(sat_conversion,[],[f22189]) ).
cnf(s2190,plain,
( spl0_56
| ~ spl0_255
| ~ spl0_262
| spl0_322 ),
inference(sat_conversion,[],[f22193]) ).
cnf(s2192,plain,
( ~ spl0_16
| spl0_18
| spl0_64
| ~ spl0_82 ),
inference(sat_conversion,[],[f22223]) ).
cnf(s2194,plain,
( ~ spl0_11
| ~ spl0_67
| ~ spl0_76 ),
inference(sat_conversion,[],[f22238]) ).
cnf(s2196,plain,
( ~ spl0_26
| ~ spl0_84
| ~ spl0_255
| spl0_345 ),
inference(sat_conversion,[],[f22320]) ).
cnf(s2197,plain,
( ~ spl0_26
| ~ spl0_82
| ~ spl0_84
| ~ spl0_113
| ~ spl0_143 ),
inference(sat_conversion,[],[f22321]) ).
cnf(s2204,plain,
( spl0_76
| spl0_374
| ~ spl0_375
| ~ spl0_404 ),
inference(sat_conversion,[],[f22443]) ).
cnf(s2207,plain,
( ~ spl0_67
| ~ spl0_269
| ~ spl0_396 ),
inference(sat_conversion,[],[f22477]) ).
cnf(s2209,plain,
( ~ spl0_11
| ~ spl0_151
| ~ spl0_285 ),
inference(sat_conversion,[],[f22496]) ).
cnf(s2212,plain,
( ~ spl0_71
| ~ spl0_249
| spl0_409
| spl0_412 ),
inference(sat_conversion,[],[f22524]) ).
cnf(s2213,plain,
( ~ spl0_53
| ~ spl0_113
| ~ spl0_148 ),
inference(sat_conversion,[],[f22546]) ).
cnf(s2214,plain,
( ~ spl0_148
| ~ spl0_256
| ~ spl0_393 ),
inference(sat_conversion,[],[f22548]) ).
cnf(s2216,plain,
( spl0_76
| spl0_139
| ~ spl0_140
| spl0_148 ),
inference(sat_conversion,[],[f22578]) ).
cnf(s2220,plain,
( ~ spl0_229
| ~ spl0_376
| ~ spl0_404 ),
inference(sat_conversion,[],[f22638]) ).
cnf(s2221,plain,
( ~ spl0_84
| spl0_110
| spl0_139
| spl0_148 ),
inference(sat_conversion,[],[f22639]) ).
cnf(s2223,plain,
( ~ spl0_107
| ~ spl0_143
| ~ spl0_250
| spl0_333 ),
inference(sat_conversion,[],[f22650]) ).
cnf(s2224,plain,
( ~ spl0_107
| ~ spl0_113
| ~ spl0_143 ),
inference(sat_conversion,[],[f22652]) ).
cnf(s2226,plain,
( ~ spl0_29
| ~ spl0_73
| spl0_378
| ~ spl0_404 ),
inference(sat_conversion,[],[f22718]) ).
cnf(s2229,plain,
( ~ spl0_14
| spl0_72
| ~ spl0_377
| ~ spl0_404 ),
inference(sat_conversion,[],[f22752]) ).
cnf(s2230,plain,
( ~ spl0_14
| ~ spl0_55
| spl0_72
| spl0_148 ),
inference(sat_conversion,[],[f22753]) ).
cnf(s2232,plain,
( ~ spl0_72
| ~ spl0_248
| spl0_271 ),
inference(sat_conversion,[],[f22755]) ).
cnf(s2233,plain,
( ~ spl0_113
| ~ spl0_250
| ~ spl0_332 ),
inference(sat_conversion,[],[f22757]) ).
cnf(s2236,plain,
( spl0_50
| ~ spl0_160
| spl0_374
| ~ spl0_397 ),
inference(sat_conversion,[],[f22760]) ).
cnf(s2237,plain,
( ~ spl0_14
| spl0_57
| ~ spl0_377
| ~ spl0_397 ),
inference(sat_conversion,[],[f22761]) ).
cnf(s2238,plain,
( ~ spl0_72
| spl0_354
| ~ spl0_396 ),
inference(sat_conversion,[],[f22762]) ).
cnf(s2239,plain,
( ~ spl0_55
| spl0_139
| spl0_378
| ~ spl0_391 ),
inference(sat_conversion,[],[f22763]) ).
cnf(s2240,plain,
( spl0_67
| ~ spl0_84
| spl0_139
| spl0_148 ),
inference(sat_conversion,[],[f22764]) ).
cnf(s2242,plain,
( ~ spl0_84
| spl0_139
| spl0_151
| ~ spl0_391 ),
inference(sat_conversion,[],[f22766]) ).
cnf(s2243,plain,
( ~ spl0_55
| spl0_72
| spl0_139
| spl0_148 ),
inference(sat_conversion,[],[f22767]) ).
cnf(s2244,plain,
( ~ spl0_14
| ~ spl0_55
| spl0_378
| ~ spl0_391 ),
inference(sat_conversion,[],[f22768]) ).
cnf(s2245,plain,
( spl0_67
| ~ spl0_160
| spl0_374
| ~ spl0_404 ),
inference(sat_conversion,[],[f22769]) ).
cnf(s2247,plain,
( ~ spl0_14
| spl0_57
| ~ spl0_73
| ~ spl0_229 ),
inference(sat_conversion,[],[f22771]) ).
cnf(s2260,plain,
( ~ spl0_285
| ~ spl0_332
| ~ spl0_399 ),
inference(sat_conversion,[],[f22949]) ).
cnf(s2265,plain,
( ~ spl0_160
| ~ spl0_370
| ~ spl0_390 ),
inference(sat_conversion,[],[f23024]) ).
cnf(s2273,plain,
( ~ spl0_113
| ~ spl0_248
| ~ spl0_338 ),
inference(sat_conversion,[],[f23111]) ).
cnf(s2276,plain,
( spl0_22
| ~ spl0_248
| ~ spl0_399
| spl0_414 ),
inference(sat_conversion,[],[f23137]) ).
cnf(s2278,plain,
( ~ spl0_328
| ~ spl0_383
| ~ spl0_414 ),
inference(sat_conversion,[],[f23164]) ).
cnf(s2280,plain,
( ~ spl0_2
| spl0_69
| ~ spl0_70
| ~ spl0_378
| ~ spl0_414 ),
inference(sat_conversion,[],[f23166]) ).
cnf(s2284,plain,
( ~ spl0_374
| ~ spl0_391
| spl0_401 ),
inference(sat_conversion,[],[f23212]) ).
cnf(s2285,plain,
( ~ spl0_80
| ~ spl0_93
| ~ spl0_256
| spl0_268
| spl0_333 ),
inference(sat_conversion,[],[f23222]) ).
cnf(s2290,plain,
( spl0_333
| ~ spl0_400
| ~ spl0_401
| spl0_416 ),
inference(sat_conversion,[],[f23251]) ).
cnf(s2291,plain,
( ~ spl0_64
| ~ spl0_270
| ~ spl0_416 ),
inference(sat_conversion,[],[f23261]) ).
cnf(s2292,plain,
( spl0_270
| ~ spl0_383
| ~ spl0_400 ),
inference(sat_conversion,[],[f23263]) ).
cnf(s2296,plain,
( ~ spl0_14
| ~ spl0_348
| spl0_378
| ~ spl0_400 ),
inference(sat_conversion,[],[f23267]) ).
cnf(s2298,plain,
( ~ spl0_29
| spl0_276
| ~ spl0_377
| ~ spl0_400 ),
inference(sat_conversion,[],[f23270]) ).
cnf(s2309,plain,
~ spl0_333,
inference(sat_conversion,[],[f23383]) ).
cnf(s2315,plain,
( ~ spl0_68
| spl0_69
| ~ spl0_249
| spl0_332 ),
inference(sat_conversion,[],[f23494]) ).
cnf(s2320,plain,
( spl0_57
| spl0_277
| ~ spl0_348
| ~ spl0_392
| ~ spl0_399 ),
inference(sat_conversion,[],[f23583]) ).
cnf(s2321,plain,
( ~ spl0_14
| spl0_57
| ~ spl0_348
| ~ spl0_392
| ~ spl0_399 ),
inference(sat_conversion,[],[f23584]) ).
cnf(s2328,plain,
( ~ spl0_53
| ~ spl0_68
| spl0_69
| ~ spl0_256
| ~ spl0_395 ),
inference(sat_conversion,[],[f23615]) ).
cnf(s2330,plain,
( ~ spl0_23
| ~ spl0_113
| spl0_241 ),
inference(sat_conversion,[],[f23617]) ).
cnf(s2336,plain,
( spl0_277
| ~ spl0_348
| spl0_378
| ~ spl0_400 ),
inference(sat_conversion,[],[f23704]) ).
cnf(s2338,plain,
( ~ spl0_139
| ~ spl0_210
| ~ spl0_229
| ~ spl0_241 ),
inference(sat_conversion,[],[f23765]) ).
cnf(s2339,plain,
( ~ spl0_26
| spl0_67
| ~ spl0_249
| ~ spl0_278 ),
inference(sat_conversion,[],[f23766]) ).
cnf(s2340,plain,
( spl0_277
| ~ spl0_278
| spl0_358
| ~ spl0_400 ),
inference(sat_conversion,[],[f23767]) ).
cnf(s2342,plain,
( spl0_151
| spl0_277
| ~ spl0_278
| ~ spl0_400 ),
inference(sat_conversion,[],[f23769]) ).
cnf(s2343,plain,
( spl0_36
| ~ spl0_56
| ~ spl0_57 ),
inference(sat_conversion,[],[f23770]) ).
cnf(s2344,plain,
( ~ spl0_26
| ~ spl0_160
| spl0_335
| ~ spl0_400 ),
inference(sat_conversion,[],[f23771]) ).
cnf(s2346,plain,
( ~ spl0_26
| spl0_67
| ~ spl0_84
| ~ spl0_229 ),
inference(sat_conversion,[],[f23773]) ).
cnf(s2347,plain,
( spl0_69
| ~ spl0_70
| ~ spl0_249
| spl0_335 ),
inference(sat_conversion,[],[f23774]) ).
cnf(s2348,plain,
( ~ spl0_23
| ~ spl0_53
| spl0_210 ),
inference(sat_conversion,[],[f23775]) ).
cnf(s2349,plain,
( ~ spl0_23
| spl0_271
| ~ spl0_338 ),
inference(sat_conversion,[],[f23776]) ).
cnf(s2352,plain,
( spl0_69
| ~ spl0_73
| ~ spl0_249
| spl0_276 ),
inference(sat_conversion,[],[f23780]) ).
cnf(s2353,plain,
( ~ spl0_26
| spl0_64
| ~ spl0_70
| spl0_148 ),
inference(sat_conversion,[],[f23781]) ).
cnf(s2375,plain,
( spl0_336
| ~ spl0_409 ),
inference(sat_conversion,[],[f24074]) ).
cnf(s2382,plain,
( spl0_337
| ~ spl0_372
| ~ spl0_400 ),
inference(sat_conversion,[],[f24201]) ).
cnf(s2387,plain,
( ~ spl0_56
| ~ spl0_338
| ~ spl0_416 ),
inference(sat_conversion,[],[f24257]) ).
cnf(s2390,plain,
( spl0_72
| ~ spl0_251
| spl0_277
| ~ spl0_348 ),
inference(sat_conversion,[],[f24301]) ).
cnf(s2393,plain,
( spl0_276
| spl0_374
| ~ spl0_377
| ~ spl0_390 ),
inference(sat_conversion,[],[f24355]) ).
cnf(s2394,plain,
( ~ spl0_69
| ~ spl0_251
| spl0_279 ),
inference(sat_conversion,[],[f24384]) ).
cnf(s2395,plain,
( ~ spl0_69
| ~ spl0_241
| spl0_371 ),
inference(sat_conversion,[],[f24385]) ).
cnf(s2397,plain,
( ~ spl0_69
| spl0_148
| spl0_347 ),
inference(sat_conversion,[],[f24387]) ).
cnf(s2399,plain,
( ~ spl0_356
| ~ spl0_371
| ~ spl0_404 ),
inference(sat_conversion,[],[f24418]) ).
cnf(s2400,plain,
( ~ spl0_354
| ~ spl0_371
| ~ spl0_394 ),
inference(sat_conversion,[],[f24420]) ).
cnf(s2401,plain,
( spl0_338
| spl0_374
| ~ spl0_375
| ~ spl0_390 ),
inference(sat_conversion,[],[f24421]) ).
cnf(s2402,plain,
( spl0_72
| spl0_322
| ~ spl0_363
| ~ spl0_394 ),
inference(sat_conversion,[],[f24422]) ).
cnf(s2403,plain,
( ~ spl0_68
| spl0_69
| ~ spl0_249
| spl0_338 ),
inference(sat_conversion,[],[f24423]) ).
cnf(s2407,plain,
( ~ spl0_3
| ~ spl0_67
| ~ spl0_72 ),
inference(sat_conversion,[],[f24434]) ).
cnf(s2409,plain,
( ~ spl0_68
| spl0_69
| spl0_331
| ~ spl0_395 ),
inference(sat_conversion,[],[f24436]) ).
cnf(s2410,plain,
( spl0_139
| ~ spl0_140
| ~ spl0_252
| spl0_265 ),
inference(sat_conversion,[],[f24437]) ).
cnf(s2411,plain,
( ~ spl0_84
| spl0_139
| spl0_358
| ~ spl0_391 ),
inference(sat_conversion,[],[f24438]) ).
cnf(s2414,plain,
( ~ spl0_3
| ~ spl0_143
| spl0_241 ),
inference(sat_conversion,[],[f24441]) ).
cnf(s2419,plain,
( spl0_139
| ~ spl0_140
| ~ spl0_252
| spl0_331 ),
inference(sat_conversion,[],[f24446]) ).
cnf(s2420,plain,
( ~ spl0_68
| spl0_69
| spl0_265
| ~ spl0_395 ),
inference(sat_conversion,[],[f24447]) ).
cnf(s2421,plain,
( spl0_113
| spl0_139
| ~ spl0_140
| spl0_148 ),
inference(sat_conversion,[],[f24448]) ).
cnf(s2424,plain,
( spl0_8
| ~ spl0_36
| ~ spl0_239 ),
inference(sat_conversion,[],[f24516]) ).
cnf(s2431,plain,
( spl0_83
| spl0_404
| spl0_408 ),
inference(sat_conversion,[],[f24600]) ).
cnf(s2433,plain,
( spl0_124
| spl0_404
| spl0_408 ),
inference(sat_conversion,[],[f24602]) ).
cnf(s2436,plain,
( ~ spl0_112
| spl0_265
| spl0_333
| ~ spl0_394 ),
inference(sat_conversion,[],[f24636]) ).
cnf(s2438,plain,
( ~ spl0_84
| spl0_139
| ~ spl0_252
| spl0_345 ),
inference(sat_conversion,[],[f24637]) ).
cnf(s2439,plain,
( ~ spl0_53
| ~ spl0_332
| ~ spl0_412 ),
inference(sat_conversion,[],[f24655]) ).
cnf(s2441,plain,
( spl0_210
| ~ spl0_276
| ~ spl0_412 ),
inference(sat_conversion,[],[f24660]) ).
cnf(s2442,plain,
( ~ spl0_84
| spl0_139
| ~ spl0_252
| spl0_269 ),
inference(sat_conversion,[],[f24661]) ).
cnf(s2445,plain,
( ~ spl0_11
| ~ spl0_50
| ~ spl0_53 ),
inference(sat_conversion,[],[f24673]) ).
cnf(s2446,plain,
( ~ spl0_82
| ~ spl0_112
| spl0_148 ),
inference(sat_conversion,[],[f24674]) ).
cnf(s2451,plain,
( spl0_68
| spl0_76
| spl0_77 ),
inference(sat_conversion,[],[f24713]) ).
cnf(s2452,plain,
( spl0_14
| ~ spl0_15
| spl0_345
| ~ spl0_354 ),
inference(sat_conversion,[],[f24778]) ).
cnf(s2454,plain,
( spl0_14
| ~ spl0_36
| spl0_331
| ~ spl0_354 ),
inference(sat_conversion,[],[f24782]) ).
cnf(s2455,plain,
( spl0_14
| ~ spl0_36
| spl0_265
| ~ spl0_354 ),
inference(sat_conversion,[],[f24783]) ).
cnf(s2462,plain,
( spl0_64
| ~ spl0_160
| spl0_374
| ~ spl0_397 ),
inference(sat_conversion,[],[f24834]) ).
cnf(s2468,plain,
( ~ spl0_227
| ~ spl0_255
| spl0_265 ),
inference(sat_conversion,[],[f24925]) ).
cnf(s2470,plain,
( ~ spl0_76
| ~ spl0_331
| ~ spl0_393 ),
inference(sat_conversion,[],[f24947]) ).
cnf(s2475,plain,
( ~ spl0_84
| spl0_110
| ~ spl0_347 ),
inference(sat_conversion,[],[f25036]) ).
cnf(s2481,plain,
( spl0_110
| ~ spl0_251
| spl0_277
| ~ spl0_278 ),
inference(sat_conversion,[],[f25127]) ).
cnf(s2482,plain,
( spl0_67
| ~ spl0_251
| spl0_277
| ~ spl0_278 ),
inference(sat_conversion,[],[f25128]) ).
cnf(s2485,plain,
( ~ spl0_251
| ~ spl0_347
| spl0_409
| spl0_416 ),
inference(sat_conversion,[],[f25141]) ).
cnf(s2486,plain,
( ~ spl0_3
| ~ spl0_93
| spl0_210 ),
inference(sat_conversion,[],[f25142]) ).
cnf(s2487,plain,
( spl0_18
| ~ spl0_19
| spl0_57
| ~ spl0_82 ),
inference(sat_conversion,[],[f25143]) ).
cnf(s2488,plain,
( ~ spl0_23
| ~ spl0_285
| spl0_356 ),
inference(sat_conversion,[],[f25144]) ).
cnf(s2490,plain,
( ~ spl0_3
| ~ spl0_270
| spl0_271 ),
inference(sat_conversion,[],[f25146]) ).
cnf(s2493,plain,
( spl0_59
| ~ spl0_210
| spl0_223 ),
inference(sat_conversion,[],[f25178]) ).
cnf(s2500,plain,
~ spl0_379,
inference(sat_conversion,[],[f25264]) ).
cnf(s2510,plain,
( spl0_139
| ~ spl0_140
| spl0_285
| ~ spl0_391 ),
inference(sat_conversion,[],[f25382]) ).
cnf(s2511,plain,
( spl0_139
| ~ spl0_140
| spl0_355
| ~ spl0_391 ),
inference(sat_conversion,[],[f25384]) ).
cnf(s2513,plain,
( spl0_59
| spl0_376
| ~ spl0_397 ),
inference(sat_conversion,[],[f25400]) ).
cnf(s2516,plain,
( ~ spl0_3
| ~ spl0_151
| spl0_356 ),
inference(sat_conversion,[],[f25429]) ).
cnf(s2518,plain,
( spl0_14
| ~ spl0_36
| ~ spl0_271
| spl0_332 ),
inference(sat_conversion,[],[f25431]) ).
cnf(s2519,plain,
( spl0_14
| ~ spl0_36
| ~ spl0_271
| spl0_338 ),
inference(sat_conversion,[],[f25432]) ).
cnf(s2520,plain,
( spl0_14
| ~ spl0_15
| spl0_270
| ~ spl0_271 ),
inference(sat_conversion,[],[f25433]) ).
cnf(s2521,plain,
( ~ spl0_55
| spl0_139
| spl0_378
| ~ spl0_391 ),
inference(sat_conversion,[],[f25434]) ).
cnf(s2522,plain,
( spl0_53
| spl0_374
| ~ spl0_375
| ~ spl0_397 ),
inference(sat_conversion,[],[f25435]) ).
cnf(s2523,plain,
( spl0_14
| ~ spl0_15
| ~ spl0_271
| spl0_335 ),
inference(sat_conversion,[],[f25436]) ).
cnf(s2524,plain,
( spl0_27
| spl0_28
| ~ spl0_36 ),
inference(sat_conversion,[],[f25449]) ).
cnf(s2526,plain,
( spl0_8
| spl0_14
| ~ spl0_15
| ~ spl0_36 ),
inference(sat_conversion,[],[f25450]) ).
cnf(s2527,plain,
( spl0_11
| spl0_14
| ~ spl0_15
| ~ spl0_36 ),
inference(sat_conversion,[],[f25452]) ).
cnf(s2530,plain,
( spl0_55
| spl0_57
| spl0_74 ),
inference(sat_conversion,[],[f25468]) ).
cnf(s2534,plain,
( spl0_74
| spl0_210
| spl0_231 ),
inference(sat_conversion,[],[f25486]) ).
cnf(s2551,plain,
( ~ spl0_124
| spl0_210
| ~ spl0_241 ),
inference(sat_conversion,[],[f25635]) ).
cnf(s2552,plain,
( spl0_14
| ~ spl0_36
| spl0_76
| ~ spl0_241 ),
inference(sat_conversion,[],[f25636]) ).
cnf(s2553,plain,
( spl0_14
| ~ spl0_36
| spl0_113
| ~ spl0_241 ),
inference(sat_conversion,[],[f25637]) ).
cnf(s2556,plain,
( spl0_59
| ~ spl0_82
| spl0_227 ),
inference(sat_conversion,[],[f25657]) ).
cnf(s2558,plain,
( spl0_68
| spl0_74
| spl0_76 ),
inference(sat_conversion,[],[f25672]) ).
cnf(s2562,plain,
( spl0_333
| spl0_377
| spl0_378 ),
inference(sat_conversion,[],[f25696]) ).
cnf(s2566,plain,
( ~ spl0_9
| ~ spl0_355
| ~ spl0_378 ),
inference(sat_conversion,[],[f25717]) ).
cnf(s2568,plain,
( spl0_14
| ~ spl0_15
| spl0_151
| ~ spl0_356 ),
inference(sat_conversion,[],[f25734]) ).
cnf(s2569,plain,
( spl0_14
| ~ spl0_36
| spl0_285
| ~ spl0_356 ),
inference(sat_conversion,[],[f25736]) ).
cnf(s2570,plain,
( spl0_14
| ~ spl0_36
| spl0_355
| ~ spl0_356 ),
inference(sat_conversion,[],[f25737]) ).
cnf(s2572,plain,
( spl0_59
| spl0_71
| ~ spl0_229 ),
inference(sat_conversion,[],[f25787]) ).
cnf(s2575,plain,
( spl0_262
| spl0_331
| spl0_333 ),
inference(sat_conversion,[],[f25814]) ).
cnf(s2577,plain,
( ~ spl0_9
| ~ spl0_263
| ~ spl0_331 ),
inference(sat_conversion,[],[f25824]) ).
cnf(s2578,plain,
( ~ spl0_400
| ~ spl0_401
| spl0_416 ),
inference(rat,[],[s2290,s2309]) ).
cnf(s2580,plain,
( ~ spl0_80
| ~ spl0_93
| ~ spl0_256
| spl0_268 ),
inference(rat,[],[s2285,s2309]) ).
cnf(s2582,plain,
( ~ spl0_107
| ~ spl0_143
| ~ spl0_250 ),
inference(rat,[],[s2223,s2309]) ).
cnf(s2586,plain,
( ~ spl0_112
| spl0_285
| ~ spl0_404 ),
inference(rat,[],[s2034,s2500]) ).
cnf(s2593,plain,
~ spl0_409,
inference(rat,[],[s2375,s1293]) ).
cnf(s2596,plain,
( spl0_355
| spl0_375 ),
inference(rat,[],[s1217,s2500]) ).
cnf(s2597,plain,
( spl0_377
| spl0_378 ),
inference(rat,[],[s1213,s2309]) ).
cnf(s2605,plain,
( ~ spl0_23
| spl0_151
| ~ spl0_285
| ~ spl0_301 ),
inference(rat,[],[s1054,s2309]) ).
cnf(s2609,plain,
( ~ spl0_93
| spl0_148
| ~ spl0_279
| ~ spl0_335 ),
inference(rat,[],[s1008,s1255]) ).
cnf(s2612,plain,
( ~ spl0_112
| ~ spl0_251
| spl0_338 ),
inference(rat,[],[s982,s1321]) ).
cnf(s2621,plain,
( spl0_275
| spl0_332 ),
inference(rat,[],[s932,s1102]) ).
cnf(s2637,plain,
( spl0_3
| spl0_11
| spl0_23
| ~ spl0_30 ),
inference(rat,[],[s762,s1255]) ).
cnf(s2644,plain,
( spl0_255
| spl0_256 ),
inference(rat,[],[s628,s661]) ).
cnf(s2646,plain,
( spl0_252
| spl0_253 ),
inference(rat,[],[s626,s661]) ).
cnf(s2647,plain,
( spl0_250
| spl0_251 ),
inference(rat,[],[s625,s661]) ).
cnf(s2648,plain,
( spl0_248
| spl0_249 ),
inference(rat,[],[s624,s661]) ).
cnf(s2650,plain,
( spl0_113
| ~ spl0_215
| spl0_240 ),
inference(rat,[],[s608,s1185,s661]) ).
cnf(s2651,plain,
( spl0_3
| spl0_23
| ~ spl0_203 ),
inference(rat,[],[s602,s1255]) ).
cnf(s2682,plain,
( ~ spl0_57
| ~ spl0_72
| spl0_110
| ~ spl0_118 ),
inference(rat,[],[s227,s240]) ).
cnf(s2689,plain,
( ~ spl0_64
| ~ spl0_67
| spl0_76
| ~ spl0_119
| spl0_124 ),
inference(rat,[],[s180,s1185]) ).
cnf(s2691,plain,
( ~ spl0_57
| ~ spl0_72
| spl0_76
| ~ spl0_119
| spl0_124 ),
inference(rat,[],[s168,s1185]) ).
cnf(s2692,plain,
( spl0_23
| spl0_57
| ~ spl0_119 ),
inference(rat,[],[s161,s1255]) ).
cnf(s2698,plain,
( spl0_53
| spl0_82 ),
inference(rat,[],[s101,s240]) ).
cnf(s2700,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_26
| ~ spl0_67
| ~ spl0_76
| spl0_80 ),
inference(rat,[],[s95,s1255]) ).
cnf(s2704,plain,
( spl0_68
| spl0_76 ),
inference(rat,[],[s86,s1185]) ).
cnf(s2705,plain,
( spl0_72
| spl0_73 ),
inference(rat,[],[s83,s661]) ).
cnf(s2709,plain,
( spl0_9
| spl0_19 ),
inference(rat,[],[s19,s1255]) ).
cnf(s2712,plain,
( ~ spl0_67
| spl0_14
| ~ spl0_11
| ~ spl0_3 ),
inference(rat,[],[s2414,s2552,s1418,s2194,s1619]) ).
cnf(s2715,plain,
( ~ spl0_50
| spl0_14
| ~ spl0_36
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s1992,s881,s2445]) ).
cnf(s2716,plain,
( ~ spl0_251
| ~ spl0_328
| ~ spl0_241
| spl0_14
| spl0_6
| ~ spl0_3 ),
inference(rat,[],[s2490,s1836,s1772]) ).
cnf(s2717,plain,
( ~ spl0_97
| ~ spl0_231
| ~ spl0_214
| spl0_14
| ~ spl0_11
| spl0_6
| ~ spl0_3 ),
inference(rat,[],[s2490,s2518,s1373,s2233,s677,s2716,s935,s618,s2553,s1534,s1619,s661]) ).
cnf(s2718,plain,
( spl0_97
| ~ spl0_25
| spl0_50
| ~ spl0_70
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s1383,s143,s618,s1844,s2084,s903,s849,s2709,s10,s240]) ).
cnf(s2719,plain,
( ~ spl0_251
| spl0_18
| ~ spl0_328
| ~ spl0_346
| ~ spl0_11
| spl0_6 ),
inference(rat,[],[s1522,s1827,s1772]) ).
cnf(s2720,plain,
( ~ spl0_250
| ~ spl0_210
| ~ spl0_97
| ~ spl0_214
| spl0_14
| spl0_6
| ~ spl0_3 ),
inference(rat,[],[s2490,s1374,s1373]) ).
cnf(s2731,plain,
( ~ spl0_110
| ~ spl0_36
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s2524,s426,s1448,s2650,s919,s618,s1844,s2187,s10]) ).
cnf(s2740,plain,
( ~ spl0_50
| ~ spl0_36
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s573,s2698,s2715,s1203,s2445,s2709,s10]) ).
cnf(s2743,plain,
( ~ spl0_231
| spl0_9
| ~ spl0_53
| ~ spl0_36
| ~ spl0_97 ),
inference(rat,[],[s426,s2524,s2650,s1448,s1149,s1534,s1614,s1475]) ).
cnf(s2744,plain,
( ~ spl0_148
| ~ spl0_57
| spl0_9
| spl0_113
| spl0_76
| ~ spl0_36 ),
inference(rat,[],[s426,s2524,s2650,s1448,s1009,s1205]) ).
cnf(s2751,plain,
( ~ spl0_110
| ~ spl0_348
| spl0_113
| ~ spl0_251
| ~ spl0_36
| ~ spl0_2 ),
inference(rat,[],[s1588,s2553,s869,s1844]) ).
cnf(s2754,plain,
( spl0_358
| ~ spl0_278
| ~ spl0_248
| ~ spl0_70
| ~ spl0_26 ),
inference(rat,[],[s1701,s1739,s1751,s1816,s1185,s1255]) ).
cnf(s2755,plain,
( ~ spl0_358
| ~ spl0_385
| ~ spl0_335
| ~ spl0_2 ),
inference(rat,[],[s1750,s2562,s1701,s1216,s1815,s2309,s1185]) ).
cnf(s2756,plain,
( spl0_358
| ~ spl0_84
| spl0_124
| ~ spl0_70
| ~ spl0_26
| ~ spl0_97 ),
inference(rat,[],[s1760,s1705,s2433,s1788,s1816,s1185]) ).
cnf(s2759,plain,
( spl0_378
| ~ spl0_14
| spl0_57
| ~ spl0_348 ),
inference(rat,[],[s2321,s1702,s1706,s2244,s2296,s2530,s1185,s596]) ).
cnf(s2764,plain,
( ~ spl0_358
| ~ spl0_377
| ~ spl0_19
| spl0_276
| ~ spl0_335
| ~ spl0_210
| ~ spl0_53
| ~ spl0_3 ),
inference(rat,[],[s1702,s1810,s1852,s1407,s1370,s2393,s1405,s1701,s1873,s1815,s1185]) ).
cnf(s2765,plain,
( spl0_378
| spl0_50
| ~ spl0_19
| ~ spl0_55
| ~ spl0_148
| spl0_124
| spl0_276
| ~ spl0_335
| ~ spl0_70
| ~ spl0_210
| ~ spl0_53
| ~ spl0_26
| ~ spl0_97
| ~ spl0_3 ),
inference(rat,[],[s390,s2521,s1787,s1702,s1705,s1978,s1760,s2433,s1816,s1192,s2764,s2562,s1185,s2309]) ).
cnf(s2766,plain,
( ~ spl0_378
| spl0_241
| ~ spl0_70
| ~ spl0_26
| ~ spl0_3 ),
inference(rat,[],[s2431,s1767,s2072,s240]) ).
cnf(s2767,plain,
( ~ spl0_408
| ~ spl0_377
| ~ spl0_148
| ~ spl0_210
| ~ spl0_97
| ~ spl0_214
| ~ spl0_3 ),
inference(rat,[],[s2516,s1407,s1371,s1810,s1948,s2029,s1702,s1705,s1978,s1760,s1265,s1185]) ).
cnf(s2771,plain,
( ~ spl0_358
| ~ spl0_377
| ~ spl0_19
| ~ spl0_143
| ~ spl0_210
| ~ spl0_53
| ~ spl0_3 ),
inference(rat,[],[s1702,s1852,s1810,s1370,s1407,s1740,s2431,s1405,s1882,s1873,s1188,s2414,s1185,s240]) ).
cnf(s2772,plain,
( spl0_358
| spl0_277
| ~ spl0_278
| spl0_93
| ~ spl0_26 ),
inference(rat,[],[s1915,s1706,s1705,s2340,s1788,s190,s156,s141,s1185]) ).
cnf(s2774,plain,
( ~ spl0_377
| ~ spl0_148
| ~ spl0_14
| spl0_72
| ~ spl0_210
| ~ spl0_97
| ~ spl0_214
| ~ spl0_3 ),
inference(rat,[],[s2431,s2767,s2229,s240]) ).
cnf(s2779,plain,
( ~ spl0_36
| spl0_67
| ~ spl0_251
| spl0_27
| ~ spl0_110
| spl0_113
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s1598,s2482,s1176,s1312,s1610,s1603,s1384,s426,s1323,s2524,s2751,s2650,s2187]) ).
cnf(s2780,plain,
( ~ spl0_348
| ~ spl0_23
| ~ spl0_251
| ~ spl0_110
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s1176,s1598,s1333,s2349,s1836,s1588,s2390,s1844,s869]) ).
cnf(s2781,plain,
( ~ spl0_377
| ~ spl0_248
| ~ spl0_385
| ~ spl0_14
| spl0_72 ),
inference(rat,[],[s1701,s1739,s1750,s2229,s1185,s1255]) ).
cnf(s2782,plain,
( spl0_67
| ~ spl0_251
| spl0_27
| ~ spl0_110
| spl0_113
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s2265,s1192,s1701,s1216,s1880,s2562,s2781,s675,s1622,s1836,s1300,s2349,s1596,s1598,s2482,s1176,s1312,s1603,s1384,s1323,s2780,s33,s2779,s223,s1844,s869,s1185,s2309,s661]) ).
cnf(s2783,plain,
( ~ spl0_36
| ~ spl0_251
| ~ spl0_110
| spl0_113
| spl0_76
| ~ spl0_2 ),
inference(rat,[],[s1163,s2132,s1827,s1553,s1610,s426,s1323,s2524,s2751,s1041,s2650,s2187,s1448,s1844,s1321,s596]) ).
cnf(s2784,plain,
( spl0_358
| ~ spl0_332
| spl0_277
| ~ spl0_278
| ~ spl0_276
| spl0_64
| spl0_50 ),
inference(rat,[],[s2236,s1370,s1705,s1405,s1916,s2260,s1963,s1706,s2340,s1192,s2709,s1553,s1185]) ).
cnf(s2786,plain,
( spl0_378
| ~ spl0_14
| ~ spl0_210
| spl0_36
| spl0_119
| spl0_72
| ~ spl0_97
| ~ spl0_214
| ~ spl0_3 ),
inference(rat,[],[s155,s2513,s2343,s1705,s2530,s1760,s2230,s2431,s2774,s2229,s2154,s2562,s1185,s596,s240,s2309]) ).
cnf(s2793,plain,
( ~ spl0_358
| ~ spl0_371
| ~ spl0_143
| ~ spl0_3 ),
inference(rat,[],[s2431,s2399,s1882,s1873,s240]) ).
cnf(s2794,plain,
( ~ spl0_26
| spl0_358
| spl0_59
| ~ spl0_84
| spl0_335
| spl0_339 ),
inference(rat,[],[s1952,s1706,s1705,s2344,s1788,s1192,s1185]) ).
cnf(s2795,plain,
( spl0_285
| ~ spl0_25
| ~ spl0_36
| spl0_14
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s1194,s753,s2569,s661]) ).
cnf(s2798,plain,
( ~ spl0_210
| spl0_148
| ~ spl0_338
| ~ spl0_36
| spl0_14
| ~ spl0_73
| ~ spl0_251
| ~ spl0_229 ),
inference(rat,[],[s2485,s2397,s2387,s1999,s1612,s1265,s2593]) ).
cnf(s2800,plain,
( ~ spl0_57
| ~ spl0_26
| spl0_81
| ~ spl0_3 ),
inference(rat,[],[s97,s451]) ).
cnf(s2806,plain,
( ~ spl0_253
| ~ spl0_57
| ~ spl0_36
| spl0_14
| ~ spl0_53 ),
inference(rat,[],[s2455,s1386,s1523]) ).
cnf(s2807,plain,
( spl0_354
| ~ spl0_139
| ~ spl0_231
| ~ spl0_214
| ~ spl0_2 ),
inference(rat,[],[s999,s678,s1002,s1388,s1869,s661]) ).
cnf(s2808,plain,
( ~ spl0_139
| spl0_69
| ~ spl0_67
| ~ spl0_36
| ~ spl0_231
| spl0_14
| ~ spl0_73
| ~ spl0_53
| ~ spl0_214
| ~ spl0_2 ),
inference(rat,[],[s1002,s999,s2207,s678,s1704,s1616,s1727,s2807,s661,s1185]) ).
cnf(s2813,plain,
( ~ spl0_358
| ~ spl0_14
| spl0_72
| ~ spl0_143
| ~ spl0_2 ),
inference(rat,[],[s2229,s2431,s2562,s1882,s1216,s240,s2309]) ).
cnf(s2814,plain,
( ~ spl0_408
| ~ spl0_113
| ~ spl0_25
| ~ spl0_110
| spl0_11 ),
inference(rat,[],[s1036,s2066,s2162,s661]) ).
cnf(s2825,plain,
( ~ spl0_358
| ~ spl0_377
| ~ spl0_93
| ~ spl0_210
| spl0_57
| ~ spl0_36
| spl0_14
| ~ spl0_3 ),
inference(rat,[],[s1702,s1810,s1807,s1407,s2570,s1212,s1873,s1612,s1185]) ).
cnf(s2829,plain,
( ~ spl0_358
| ~ spl0_377
| ~ spl0_93
| spl0_57
| ~ spl0_19
| ~ spl0_210
| ~ spl0_53
| ~ spl0_3 ),
inference(rat,[],[s1702,s1852,s1810,s1370,s1407,s1405,s1212,s1873,s1185]) ).
cnf(s2831,plain,
( ~ spl0_397
| ~ spl0_84
| spl0_50
| ~ spl0_57
| spl0_358
| ~ spl0_53 ),
inference(rat,[],[s1405,s1370,s2105,s1852,s1702,s2411,s390,s2236,s1787,s1192,s2709,s1531,s1185]) ).
cnf(s2837,plain,
( ~ spl0_392
| ~ spl0_64
| ~ spl0_111
| ~ spl0_148 ),
inference(rat,[],[s2016,s1279,s2431,s1930,s1978,s240]) ).
cnf(s2838,plain,
( ~ spl0_69
| ~ spl0_59
| spl0_139
| spl0_112
| spl0_36
| ~ spl0_148
| spl0_110
| ~ spl0_55
| spl0_11 ),
inference(rat,[],[s1391,s2511,s2239,s1702,s2837,s162,s155,s388,s1339,s143,s142,s1185,s240]) ).
cnf(s2839,plain,
( spl0_69
| spl0_36
| spl0_57
| spl0_53
| ~ spl0_229 ),
inference(rat,[],[s1048,s84,s2558,s2083,s2025,s596]) ).
cnf(s2840,plain,
( spl0_36
| ~ spl0_148
| spl0_110
| ~ spl0_210
| spl0_57
| spl0_53
| ~ spl0_229
| spl0_11
| ~ spl0_3 ),
inference(rat,[],[s2838,s2493,s2338,s1872,s2330,s143,s2839,s1639,s16,s58,s33,s2530,s596]) ).
cnf(s2843,plain,
( ~ spl0_251
| ~ spl0_36
| spl0_148
| ~ spl0_73
| spl0_14
| ~ spl0_229
| ~ spl0_328
| ~ spl0_210
| spl0_6
| ~ spl0_3 ),
inference(rat,[],[s2490,s2519,s1772,s2798]) ).
cnf(s2848,plain,
( ~ spl0_249
| spl0_69
| ~ spl0_70
| ~ spl0_229
| ~ spl0_93 ),
inference(rat,[],[s2347,s1020]) ).
cnf(s2849,plain,
( ~ spl0_248
| ~ spl0_36
| ~ spl0_113
| ~ spl0_72
| spl0_14 ),
inference(rat,[],[s2519,s2273,s2232]) ).
cnf(s2850,plain,
( ~ spl0_251
| ~ spl0_64
| ~ spl0_347
| ~ spl0_328
| spl0_6 ),
inference(rat,[],[s2291,s2485,s1772,s2593]) ).
cnf(s2857,plain,
( spl0_36
| spl0_53
| ~ spl0_229
| spl0_110
| ~ spl0_210
| spl0_57
| spl0_11
| ~ spl0_3 ),
inference(rat,[],[s1015,s2338,s1188,s2330,s1232,s142,s2840,s2839,s33,s8,s2530,s596]) ).
cnf(s2860,plain,
( ~ spl0_250
| ~ spl0_408
| ~ spl0_160
| ~ spl0_26
| spl0_14
| ~ spl0_97
| ~ spl0_210
| ~ spl0_3 ),
inference(rat,[],[s2344,s1706,s1417,s2171,s1374,s1185]) ).
cnf(s2882,plain,
( ~ spl0_229
| spl0_69
| ~ spl0_380
| spl0_64
| ~ spl0_3 ),
inference(rat,[],[s2407,s84,s223,s1999,s2023]) ).
cnf(s2889,plain,
( spl0_69
| ~ spl0_229
| spl0_64
| spl0_57
| ~ spl0_3 ),
inference(rat,[],[s2407,s223,s84,s2023,s2083]) ).
cnf(s2895,plain,
( ~ spl0_53
| ~ spl0_97
| spl0_210 ),
inference(rat,[],[s33,s2743,s1528,s2348,s2534,s596]) ).
cnf(s2899,plain,
( spl0_64
| spl0_67
| spl0_110
| ~ spl0_53
| spl0_97
| spl0_57
| ~ spl0_3 ),
inference(rat,[],[s8,s2445,s1707,s903,s2213,s22,s2397,s2346,s2475,s2889,s156,s849,s935,s1185,s240]) ).
cnf(s2901,plain,
( ~ spl0_251
| ~ spl0_26
| spl0_148
| ~ spl0_69
| ~ spl0_93
| ~ spl0_70 ),
inference(rat,[],[s2609,s1990,s2394]) ).
cnf(s2910,plain,
( ~ spl0_11
| ~ spl0_335
| spl0_14
| ~ spl0_3 ),
inference(rat,[],[s2518,s1497,s1619,s1417]) ).
cnf(s2915,plain,
( ~ spl0_392
| ~ spl0_374
| ~ spl0_13
| ~ spl0_64
| ~ spl0_53 ),
inference(rat,[],[s1390,s1371,s1852,s1930]) ).
cnf(s2919,plain,
( ~ spl0_391
| ~ spl0_374
| ~ spl0_23
| ~ spl0_82
| ~ spl0_210 ),
inference(rat,[],[s2488,s1370,s1407,s1917,s1810]) ).
cnf(s2931,plain,
( ~ spl0_113
| spl0_50
| ~ spl0_8
| ~ spl0_84
| spl0_97 ),
inference(rat,[],[s903,s22,s617,s2346,s946,s144,s849,s240]) ).
cnf(s2937,plain,
( ~ spl0_67
| ~ spl0_8
| ~ spl0_241
| ~ spl0_3 ),
inference(rat,[],[s426,s2524,s2650,s1448,s1432,s90,s144,s1418,s58,s52]) ).
cnf(s2947,plain,
( ~ spl0_358
| ~ spl0_53
| ~ spl0_67
| ~ spl0_2
| ~ spl0_57
| ~ spl0_84
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1704,s1727,s1821,s1294,s2438,s674,s2808,s2806,s33,s2348,s2534,s2771,s2395,s2562,s2793,s1216,s894,s1203,s84,s2407,s2414,s1418,s2709,s1531,s1185,s661,s596,s2309]) ).
cnf(s2948,plain,
( ~ spl0_36
| spl0_355
| spl0_285
| ~ spl0_160
| ~ spl0_13
| ~ spl0_2
| ~ spl0_57
| spl0_64
| spl0_14 ),
inference(rat,[],[s1864,s1702,s22,s2105,s2795,s2570,s1185]) ).
cnf(s2949,plain,
( ~ spl0_53
| spl0_223
| ~ spl0_67
| ~ spl0_2
| ~ spl0_57
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2493,s155,s2348,s2343,s33,s2948,s1792,s1954,s1705,s2831,s1192,s2947,s156,s1203,s8,s162,s2712,s1185]) ).
cnf(s2950,plain,
( ~ spl0_67
| ~ spl0_2
| ~ spl0_57
| ~ spl0_229
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1473,s893,s2698,s2949,s16,s1872,s2937,s8,s2414,s2712,s1418,s1203]) ).
cnf(s2951,plain,
( ~ spl0_2
| ~ spl0_57
| spl0_97
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2553,s2343,s2213,s1595,s1844,s2240,s154,s906,s2718,s903,s390,s2572,s22,s1327,s972,s2346,s223,s2950,s894,s1203,s156,s849,s240]) ).
cnf(s2952,plain,
( spl0_69
| ~ spl0_6
| ~ spl0_53
| ~ spl0_67
| ~ spl0_57
| ~ spl0_229
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1704,s1727,s1821,s1294,s1282,s674,s2806,s33,s2348,s1265,s2882,s156,s84,s2407,s1185,s661]) ).
cnf(s2953,plain,
( ~ spl0_53
| ~ spl0_67
| ~ spl0_5
| ~ spl0_57
| ~ spl0_229
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2493,s155,s2348,s2343,s33,s2569,s1852,s2105,s1702,s1866,s2793,s2395,s2952,s3,s739,s1531,s156,s162,s2712,s1872,s2414,s1418,s1185]) ).
cnf(s2954,plain,
( ~ spl0_67
| ~ spl0_5
| ~ spl0_57
| ~ spl0_229
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2493,s155,s2486,s2343,s190,s749,s893,s1473,s2698,s2953,s16,s1872,s2937,s162,s8,s2414,s2712,s1418]) ).
cnf(s2955,plain,
( ~ spl0_53
| ~ spl0_4
| spl0_67
| ~ spl0_57
| spl0_97
| ~ spl0_84
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2553,s1205,s618,s2240,s903,s390,s2445,s1619,s739,s1531,s1327,s223,s22,s2346,s849,s240]) ).
cnf(s2956,plain,
( ~ spl0_11
| ~ spl0_110
| ~ spl0_241
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2553,s618,s1619]) ).
cnf(s2957,plain,
( ~ spl0_241
| spl0_6
| spl0_53
| spl0_2
| ~ spl0_57
| ~ spl0_229
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2493,s2486,s155,s190,s2099,s906,s770,s162,s2956,s1016,s1872,s1188,s22,s2346,s2954,s47,s156,s240]) ).
cnf(s2958,plain,
( spl0_241
| ~ spl0_69
| ~ spl0_57
| ~ spl0_84
| ~ spl0_3 ),
inference(rat,[],[s2475,s2397,s617,s1205,s2414]) ).
cnf(s2959,plain,
( ~ spl0_57
| spl0_97
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s190,s2931,s2486,s2553,s1992,s58,s16,s1473,s2957,s2958,s2698,s2955,s867,s22,s2023,s2346,s223,s2954,s47,s2951,s156,s849]) ).
cnf(s2960,plain,
( spl0_210
| ~ spl0_53
| ~ spl0_371
| ~ spl0_241
| ~ spl0_2
| ~ spl0_55
| spl0_14 ),
inference(rat,[],[s1703,s2470,s2400,s2454,s2807,s1015,s2213,s2552,s2553,s33,s894,s2348,s881,s2534,s1188,s1185,s596]) ).
cnf(s2961,plain,
( ~ spl0_53
| spl0_358
| ~ spl0_241
| spl0_72
| ~ spl0_2
| ~ spl0_69
| ~ spl0_55
| ~ spl0_229
| ~ spl0_84
| spl0_14 ),
inference(rat,[],[s2586,s2431,s1852,s1978,s143,s1702,s2213,s2411,s2243,s2338,s2960,s2395,s240,s1185]) ).
cnf(s2962,plain,
( ~ spl0_67
| ~ spl0_2
| spl0_97
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2586,s2431,s143,s2041,s1978,s1339,s1702,s155,s2411,s2243,s2493,s2338,s881,s893,s1473,s2698,s2961,s2793,s16,s2395,s1872,s2937,s162,s8,s2414,s2712,s1418,s2407,s156,s2530,s2889,s2959,s849,s240,s1185,s596]) ).
cnf(s2963,plain,
( ~ spl0_53
| ~ spl0_2
| spl0_97
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2793,s2961,s2395,s869,s617,s1844,s2899,s156,s2530,s2889,s2959,s849,s2962,s596]) ).
cnf(s2964,plain,
( spl0_50
| spl0_53
| ~ spl0_25
| ~ spl0_70
| ~ spl0_2
| spl0_97 ),
inference(rat,[],[s2718,s906,s240]) ).
cnf(s2965,plain,
( ~ spl0_241
| ~ spl0_143
| spl0_11
| ~ spl0_210
| spl0_67
| ~ spl0_69
| ~ spl0_229
| ~ spl0_84
| ~ spl0_3 ),
inference(rat,[],[s2586,s2431,s2041,s1978,s1702,s143,s2411,s1339,s2793,s1595,s154,s2240,s2493,s2338,s2395,s1872,s240,s1185]) ).
cnf(s2966,plain,
( ~ spl0_2
| spl0_97
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1844,s2965,s617,s2857,s1619,s1992,s881,s2964,s2963,s22,s2346,s223,s2962,s156,s2889,s2959,s849]) ).
cnf(s2967,plain,
( ~ spl0_251
| ~ spl0_26
| spl0_358
| ~ spl0_241
| spl0_59
| ~ spl0_229
| ~ spl0_84
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1417,s2794,s1836,s1003]) ).
cnf(s2968,plain,
( ~ spl0_67
| spl0_97
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1898,s1706,s1312,s2175,s1631,s677,s2967,s1702,s1866,s22,s3,s867,s1192,s189,s2793,s190,s2395,s2486,s2414,s1878,s1418,s2407,s2889,s47,s2572,s154,s1594,s2966,s2959,s156,s849,s1185,s661]) ).
cnf(s2969,plain,
( spl0_97
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2857,s1619,s1992,s2899,s617,s2414,s1872,s2493,s2486,s190,s894,s972,s2968,s2572,s154,s1594,s2966,s2959,s849,s156]) ).
cnf(s2971,plain,
( ~ spl0_82
| ~ spl0_16
| ~ spl0_13
| spl0_50
| spl0_64 ),
inference(rat,[],[s1473,s893]) ).
cnf(s2973,plain,
( spl0_6
| ~ spl0_9
| ~ spl0_53
| ~ spl0_214
| ~ spl0_13
| ~ spl0_241
| ~ spl0_2
| ~ spl0_97
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2132,s1553,s1423,s1323,s1598,s1176,s2780,s1530,s1333,s935,s1836,s2716,s677,s2720,s2895,s33,s1615,s1321,s661]) ).
cnf(s2974,plain,
( ~ spl0_251
| ~ spl0_110
| ~ spl0_9
| ~ spl0_53
| ~ spl0_13
| ~ spl0_241
| ~ spl0_2
| ~ spl0_97
| spl0_14 ),
inference(rat,[],[s2132,s1423,s1553,s1598,s1176,s1323,s1530,s1333,s2780,s1836,s33,s1615,s1321]) ).
cnf(s2975,plain,
( ~ spl0_250
| ~ spl0_6
| ~ spl0_143
| ~ spl0_97
| spl0_64 ),
inference(rat,[],[s1312,s1631,s1350]) ).
cnf(s2976,plain,
( ~ spl0_9
| ~ spl0_67
| ~ spl0_2
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2481,s1598,s1176,s1312,s1530,s1333,s1417,s2974,s1836,s677,s2975,s2973,s894,s2698,s2971,s16,s2937,s2414,s1418,s8,s2712,s190,s1554,s2969,s661]) ).
cnf(s2977,plain,
( ~ spl0_358
| ~ spl0_19
| ~ spl0_210
| ~ spl0_53
| ~ spl0_143
| ~ spl0_2
| ~ spl0_3 ),
inference(rat,[],[s2562,s2771,s1216,s2309]) ).
cnf(s2978,plain,
( spl0_6
| ~ spl0_67
| ~ spl0_2
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2784,s1323,s1598,s1176,s1312,s2780,s2349,s1333,s1417,s935,s1589,s1836,s2716,s677,s2720,s894,s2451,s1614,s33,s1615,s25,s426,s2650,s1475,s1432,s2977,s2709,s2976,s2895,s2698,s2971,s16,s2937,s2414,s8,s2712,s190,s1554,s2969,s1418,s661,s1185]) ).
cnf(s2979,plain,
( ~ spl0_67
| ~ spl0_2
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1706,s2340,s1898,s1598,s1176,s1312,s2349,s1333,s1417,s1836,s677,s1702,s2975,s1866,s2978,s2977,s2709,s2976,s33,s1615,s2895,s2698,s2971,s16,s2937,s8,s2414,s190,s2712,s1418,s1554,s156,s2969,s1185,s661]) ).
cnf(s2980,plain,
( ~ spl0_6
| ~ spl0_143
| ~ spl0_241
| spl0_67
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1417,s1312,s1836,s1822,s677,s2975,s2969,s661]) ).
cnf(s2981,plain,
( spl0_6
| ~ spl0_214
| ~ spl0_241
| ~ spl0_53
| spl0_67
| ~ spl0_2
| ~ spl0_97
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s935,s2782,s2716,s677,s2720,s1475,s2895,s1427,s8,s1619,s1615,s661]) ).
cnf(s2982,plain,
( ~ spl0_251
| ~ spl0_26
| ~ spl0_241
| ~ spl0_70
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1417,s1990,s1836]) ).
cnf(s2983,plain,
( ~ spl0_6
| ~ spl0_241
| ~ spl0_53
| spl0_67
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1312,s1417,s1350,s1374,s677,s2982,s22,s1707,s935,s617,s2980,s223,s1475,s2895,s8,s1619,s1615,s2969,s661,s1185]) ).
cnf(s2984,plain,
( ~ spl0_241
| ~ spl0_53
| ~ spl0_2
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1576,s1598,s1176,s1312,s2349,s1333,s1417,s1374,s677,s2716,s935,s926,s894,s2981,s2983,s8,s1619,s33,s1615,s2979,s2895,s2969,s661]) ).
cnf(s2985,plain,
( ~ spl0_26
| spl0_276
| ~ spl0_271
| ~ spl0_251
| ~ spl0_148
| spl0_50
| spl0_241
| ~ spl0_53
| spl0_67
| ~ spl0_2
| ~ spl0_97
| ~ spl0_84
| ~ spl0_3 ),
inference(rat,[],[s224,s1771,s2390,s2709,s1622,s2765,s2755,s1990,s2756,s2766,s223,s2895,s1268,s1204,s1534,s2530,s1205,s1324,s1185,s814,s596]) ).
cnf(s2986,plain,
( spl0_6
| spl0_50
| ~ spl0_53
| ~ spl0_2
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2519,s1522,s1619,s8,s1707,s22,s2985,s1603,s2490,s1772,s677,s1071,s2720,s156,s2979,s1475,s2895,s2969,s935,s1844,s2984,s894,s1185,s661]) ).
cnf(s2987,plain,
( ~ spl0_251
| ~ spl0_148
| ~ spl0_26
| spl0_50
| spl0_241
| ~ spl0_53
| spl0_67
| ~ spl0_2
| ~ spl0_97
| ~ spl0_84
| ~ spl0_3 ),
inference(rat,[],[s2985,s1417,s1384,s1990,s223]) ).
cnf(s2988,plain,
( ~ spl0_250
| ~ spl0_6
| ~ spl0_210
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1312,s1417,s1350,s1374,s2969]) ).
cnf(s2989,plain,
( spl0_50
| ~ spl0_53
| ~ spl0_2
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2987,s2353,s22,s1707,s8,s2910,s1312,s1822,s677,s2988,s2986,s156,s223,s2979,s1475,s2895,s2969,s935,s1844,s2984,s1185,s661]) ).
cnf(s2990,plain,
( ~ spl0_251
| spl0_72
| ~ spl0_358
| ~ spl0_26
| ~ spl0_70
| ~ spl0_2
| ~ spl0_3 ),
inference(rat,[],[s2390,s1622,s1324,s2755,s1417,s1384,s1990,s814]) ).
cnf(s2991,plain,
( ~ spl0_53
| ~ spl0_2
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s675,s2352,s1429,s718,s1374,s677,s2990,s84,s224,s1771,s2709,s2829,s2562,s2756,s2766,s22,s142,s1707,s1232,s8,s2445,s190,s1203,s2989,s935,s1268,s1534,s1844,s1204,s2984,s2895,s1475,s156,s2969,s223,s2979,s661,s1185,s2309]) ).
cnf(s2992,plain,
( ~ spl0_251
| spl0_50
| ~ spl0_241
| spl0_53
| spl0_67
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s935,s2716,s2956,s1822,s906,s1312,s22,s1417,s2982,s1836,s223,s240]) ).
cnf(s2993,plain,
( ~ spl0_13
| ~ spl0_250
| spl0_50
| ~ spl0_82
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2518,s1417,s950,s58,s1312,s16,s1350,s2971,s893,s2969]) ).
cnf(s2994,plain,
( spl0_50
| ~ spl0_241
| ~ spl0_2
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2717,s1350,s2534,s1312,s1992,s2910,s1619,s8,s2993,s677,s2992,s894,s2969,s2979,s2698,s2991,s596,s661]) ).
cnf(s2995,plain,
( ~ spl0_241
| ~ spl0_2
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1598,s1576,s1176,s1312,s2349,s1333,s1417,s1374,s677,s2716,s1473,s16,s8,s58,s1619,s33,s935,s1992,s926,s881,s2994,s2969,s2698,s2991,s661]) ).
cnf(s2996,plain,
( ~ spl0_2
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2041,s1702,s1370,s155,s2919,s1405,s1209,s1212,s2709,s1873,s2154,s2562,s1924,s2756,s2766,s190,s1203,s22,s2971,s1707,s16,s162,s8,s2330,s58,s1619,s33,s1992,s2534,s935,s1268,s1534,s1844,s1204,s2995,s2698,s2991,s223,s2979,s156,s2969,s1185,s2309,s596]) ).
cnf(s2997,plain,
( ~ spl0_67
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1391,s2562,s1218,s2771,s1743,s2709,s2431,s1553,s1882,s1323,s2132,s2772,s2390,s1163,s1598,s1827,s1176,s1312,s2349,s2490,s1417,s1836,s22,s677,s890,s2988,s1689,s1591,s33,s1265,s1041,s1615,s2895,s1614,s1475,s2698,s2971,s16,s2937,s8,s2414,s190,s2712,s1418,s1554,s2407,s2969,s47,s2996,s2309,s240,s1321,s661,s596]) ).
cnf(s2998,plain,
( ~ spl0_53
| ~ spl0_241
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s926,s1591,s1016,s1265,s2983,s2895,s2969,s47,s2996,s2997,s1188]) ).
cnf(s2999,plain,
( spl0_50
| ~ spl0_241
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1350,s1016,s1312,s2956,s2910,s8,s2993,s677,s2992,s2969,s47,s2996,s2997,s1188,s2698,s2998,s661]) ).
cnf(s3000,plain,
( ~ spl0_241
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s16,s58,s1473,s1992,s1016,s2486,s926,s190,s2999,s2698,s2998,s1188,s2969,s47,s2996]) ).
cnf(s3001,plain,
( spl0_50
| spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1324,s2320,s1897,s1706,s1702,s2382,s1810,s1407,s1622,s1893,s1750,s2431,s1701,s2767,s1815,s1417,s1415,s1873,s1205,s2562,s1990,s2756,s2353,s2766,s677,s22,s2988,s890,s1591,s1688,s894,s156,s47,s2996,s223,s2997,s1268,s1204,s1265,s2534,s1534,s3000,s2969,s814,s1185,s240,s2309,s661,s596]) ).
cnf(s3002,plain,
( ~ spl0_26
| ~ spl0_93
| spl0_241
| ~ spl0_70
| spl0_117
| ~ spl0_97
| spl0_64
| ~ spl0_3 ),
inference(rat,[],[s153,s1209,s1205,s2154,s2756,s2353,s2766,s156,s1268,s1204,s2534,s1534,s596]) ).
cnf(s3003,plain,
( ~ spl0_53
| ~ spl0_25
| ~ spl0_50
| ~ spl0_328
| ~ spl0_97 ),
inference(rat,[],[s8,s1707,s2445,s1475,s1185]) ).
cnf(s3004,plain,
( spl0_64
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1707,s8,s2330,s1619,s33,s1992,s3003,s22,s3002,s190,s3001,s935,s2534,s617,s1534,s2414,s3000,s223,s2997,s160,s2996,s2969,s596,s1185]) ).
cnf(s3005,plain,
( spl0_50
| ~ spl0_241
| spl0_97
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2857,s1992,s2213,s1232,s8,s2910,s2344,s1706,s2171,s1192,s2431,s1873,s1767,s1809,s2239,s1702,s677,s2837,s2982,s142,s22,s2084,s903,s617,s223,s1418,s1117,s1015,s2338,s849,s2486,s141,s1188,s2530,s451,s3004,s1185,s240,s661,s596]) ).
cnf(s3006,plain,
( ~ spl0_358
| ~ spl0_2
| ~ spl0_19
| ~ spl0_53
| spl0_57
| ~ spl0_93
| ~ spl0_3 ),
inference(rat,[],[s2562,s2829,s1216,s2486,s2309]) ).
cnf(s3007,plain,
( ~ spl0_408
| ~ spl0_72
| ~ spl0_148
| spl0_139
| ~ spl0_55 ),
inference(rat,[],[s1702,s2521,s1978,s2075,s1185]) ).
cnf(s3008,plain,
( ~ spl0_53
| ~ spl0_50
| spl0_110
| spl0_67
| ~ spl0_148
| spl0_139
| ~ spl0_229
| spl0_57
| ~ spl0_93
| ~ spl0_3 ),
inference(rat,[],[s2562,s2829,s1767,s1816,s2431,s3007,s2709,s1771,s224,s84,s1999,s22,s142,s1707,s1232,s8,s2213,s2445,s2530,s1265,s2486,s223,s935,s2309,s240,s1185,s596]) ).
cnf(s3009,plain,
( ~ spl0_241
| spl0_97
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2857,s1619,s1992,s3008,s3005,s617,s1418,s1117,s1015,s2338,s1188,s2486,s141,s2530,s451,s3004,s849,s596]) ).
cnf(s3010,plain,
( spl0_262
| spl0_331 ),
inference(rat,[],[s2575,s2309]) ).
cnf(s3012,plain,
( spl0_377
| spl0_378 ),
inference(rat,[],[s2562,s2309]) ).
cnf(s3013,plain,
( spl0_68
| spl0_76 ),
inference(rat,[],[s2558,s596]) ).
cnf(s3022,plain,
( spl0_210
| spl0_231 ),
inference(rat,[],[s2534,s596]) ).
cnf(s3023,plain,
( spl0_55
| spl0_57 ),
inference(rat,[],[s2530,s596]) ).
cnf(s3025,plain,
( spl0_416
| ~ spl0_347
| ~ spl0_251 ),
inference(rat,[],[s2485,s2593]) ).
cnf(s3032,plain,
( spl0_68
| spl0_76 ),
inference(rat,[],[s2451,s1185]) ).
cnf(s3034,plain,
( spl0_265
| ~ spl0_394
| ~ spl0_112 ),
inference(rat,[],[s2436,s2309]) ).
cnf(s3036,plain,
( spl0_404
| spl0_408 ),
inference(rat,[],[s2431,s240]) ).
cnf(s3047,plain,
( ~ spl0_80
| ~ spl0_256
| ~ spl0_93 ),
inference(rat,[],[s2580,s1102]) ).
cnf(s3048,plain,
( spl0_414
| ~ spl0_399
| ~ spl0_248 ),
inference(rat,[],[s2276,s1255]) ).
cnf(s3051,plain,
( ~ spl0_249
| ~ spl0_71
| spl0_412 ),
inference(rat,[],[s2212,s2593]) ).
cnf(s3053,plain,
( ~ spl0_81
| ~ spl0_276
| ~ spl0_2 ),
inference(rat,[],[s2185,s2593]) ).
cnf(s3056,plain,
( spl0_275
| spl0_332 ),
inference(rat,[],[s2132,s1321]) ).
cnf(s3061,plain,
( ~ spl0_112
| spl0_285
| ~ spl0_404 ),
inference(rat,[],[s2036,s661]) ).
cnf(s3070,plain,
( ~ spl0_9
| ~ spl0_138
| ~ spl0_3 ),
inference(rat,[],[s1771,s1185]) ).
cnf(s3072,plain,
( spl0_404
| spl0_408 ),
inference(rat,[],[s1759,s240]) ).
cnf(s3073,plain,
( ~ spl0_389
| spl0_404
| ~ spl0_248 ),
inference(rat,[],[s1739,s1255]) ).
cnf(s3074,plain,
( ~ spl0_13
| ~ spl0_25
| spl0_113
| ~ spl0_328 ),
inference(rat,[],[s1707,s1185]) ).
cnf(s3075,plain,
( spl0_399
| spl0_400 ),
inference(rat,[],[s1706,s1185]) ).
cnf(s3076,plain,
( spl0_397
| spl0_398 ),
inference(rat,[],[s1705,s1185]) ).
cnf(s3077,plain,
( spl0_395
| spl0_396 ),
inference(rat,[],[s1704,s1185]) ).
cnf(s3078,plain,
( spl0_393
| spl0_394 ),
inference(rat,[],[s1703,s1185]) ).
cnf(s3079,plain,
( spl0_391
| spl0_392 ),
inference(rat,[],[s1702,s1185]) ).
cnf(s3080,plain,
( spl0_389
| spl0_390 ),
inference(rat,[],[s1701,s1185]) ).
cnf(s3098,plain,
( ~ spl0_317
| spl0_50
| spl0_57 ),
inference(rat,[],[s1658,s596]) ).
cnf(s3106,plain,
( spl0_67
| ~ spl0_78 ),
inference(rat,[],[s1648,s1185]) ).
cnf(s3113,plain,
( spl0_64
| ~ spl0_79 ),
inference(rat,[],[s1559,s1255]) ).
cnf(s3122,plain,
( spl0_67
| ~ spl0_107 ),
inference(rat,[],[s1400,s1255]) ).
cnf(s3125,plain,
( spl0_276
| spl0_348 ),
inference(rat,[],[s1324,s814]) ).
cnf(s3127,plain,
( spl0_355
| spl0_375 ),
inference(rat,[],[s1219,s661]) ).
cnf(s3128,plain,
( ~ spl0_301
| spl0_240
| spl0_110 ),
inference(rat,[],[s1195,s661]) ).
cnf(s3129,plain,
( spl0_270
| ~ spl0_301
| ~ spl0_240
| ~ spl0_248 ),
inference(rat,[],[s1177,s814]) ).
cnf(s3137,plain,
( spl0_148
| ~ spl0_25
| spl0_50
| spl0_110 ),
inference(rat,[],[s1072,s240]) ).
cnf(s3142,plain,
( spl0_113
| spl0_346 ),
inference(rat,[],[s1041,s596]) ).
cnf(s3143,plain,
( spl0_151
| spl0_355
| spl0_11
| ~ spl0_25 ),
inference(rat,[],[s1036,s661]) ).
cnf(s3150,plain,
( ~ spl0_25
| spl0_11
| spl0_50
| spl0_53 ),
inference(rat,[],[s906,s240]) ).
cnf(s3151,plain,
( ~ spl0_25
| spl0_50
| spl0_97
| spl0_110 ),
inference(rat,[],[s903,s240]) ).
cnf(s3164,plain,
( spl0_151
| spl0_285
| spl0_11
| ~ spl0_25 ),
inference(rat,[],[s746,s661]) ).
cnf(s3168,plain,
( ~ spl0_25
| spl0_72
| spl0_2
| spl0_110 ),
inference(rat,[],[s703,s661]) ).
cnf(s3171,plain,
( spl0_255
| spl0_256 ),
inference(rat,[],[s678,s661]) ).
cnf(s3172,plain,
( spl0_250
| spl0_251 ),
inference(rat,[],[s677,s661]) ).
cnf(s3174,plain,
( spl0_248
| spl0_249 ),
inference(rat,[],[s675,s661]) ).
cnf(s3175,plain,
( spl0_252
| spl0_253 ),
inference(rat,[],[s674,s661]) ).
cnf(s3176,plain,
( ~ spl0_18
| ~ spl0_8
| ~ spl0_64
| ~ spl0_36
| spl0_57 ),
inference(rat,[],[s614,s240,s596]) ).
cnf(s3179,plain,
( spl0_56
| spl0_140 ),
inference(rat,[],[s388,s240]) ).
cnf(s3190,plain,
( spl0_50
| spl0_112
| ~ spl0_53
| ~ spl0_70
| spl0_110
| ~ spl0_229 ),
inference(rat,[],[s2213,s1341,s143,s142,s2084,s894]) ).
cnf(s3191,plain,
( spl0_6
| ~ spl0_251
| spl0_148
| ~ spl0_113
| spl0_97
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2648,s2848,s2849,s2397,s84,s2850,s2843,s2486,s141,s3004,s849,s223,s1418,s935,s617,s2414,s33,s2330,s3009]) ).
cnf(s3192,plain,
( spl0_355
| ~ spl0_36
| ~ spl0_25
| spl0_11
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2516,s3143,s2570]) ).
cnf(s3193,plain,
( ~ spl0_25
| ~ spl0_2
| ~ spl0_53
| spl0_97
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2648,s2848,s1429,s142,s2518,s2016,s2233,s1279,s3172,s2516,s3191,s1407,s1838,s2245,s3036,s2066,s3192,s1810,s3079,s1192,s1852,s3006,s2795,s2709,s33,s610,s2330,s2213,s3074,s451,s2486,s1204,s935,s8,s2445,s3190,s1639,s16,s203,s141,s3004,s223,s1418,s617,s2414,s3009,s849]) ).
cnf(s3194,plain,
( ~ spl0_251
| spl0_148
| ~ spl0_113
| ~ spl0_26
| spl0_97
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2273,s3174,s2519,s2848,s1417,s2901,s1990,s141,s3004,s849,s223,s1418,s2414,s33,s2330,s3009]) ).
cnf(s3195,plain,
( ~ spl0_113
| ~ spl0_26
| ~ spl0_53
| spl0_97
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2344,s1417,s3075,s2518,s2171,s2233,s3172,s3194,s3036,s1816,s1192,s2825,s33,s2330,s2213,s451,s2486,s141,s3004,s3012,s2766,s223,s1418,s2414,s3009]) ).
cnf(s3196,plain,
( ~ spl0_2
| ~ spl0_53
| spl0_97
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1371,s2516,s2278,s1407,s3048,s1810,s3075,s3079,s2336,s2915,s1622,s2393,s1750,s3080,s3073,s1816,s3006,s2709,s3125,s3070,s1151,s2232,s224,s3174,s84,s2848,s1999,s143,s3195,s3012,s2766,s22,s3193,s451,s1265,s2486,s935,s8,s2445,s3190,s1639,s16,s203,s141,s3004,s223,s1418,s617,s2414,s3009,s849]) ).
cnf(s3197,plain,
( ~ spl0_25
| spl0_2
| spl0_11
| spl0_110 ),
inference(rat,[],[s609,s3074,s879,s867,s935,s8]) ).
cnf(s3198,plain,
( ~ spl0_53
| spl0_97
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1371,s2516,s2278,s1407,s3048,s1810,s3075,s3079,s2336,s2915,s1622,s2393,s1750,s3080,s3073,s1816,s2829,s2709,s3125,s3070,s1151,s2232,s224,s3174,s84,s2848,s1999,s143,s3012,s3195,s2766,s22,s3197,s3196,s8,s2445,s3190,s1639,s16,s203,s451,s1265,s2486,s141,s3004,s849,s223,s1418,s935,s617,s2414,s3009]) ).
cnf(s3199,plain,
( spl0_97
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2857,s1619,s1992,s3198,s617,s2414,s3009,s849,s451,s2486,s141,s3004]) ).
cnf(s3200,plain,
( ~ spl0_25
| ~ spl0_13
| spl0_27
| ~ spl0_254
| spl0_113
| ~ spl0_97
| spl0_57
| ~ spl0_64 ),
inference(rat,[],[s1312,s1304,s1631,s3172,s2782,s390,s867,s1015,s189,s1117,s926,s617,s935,s3074,s3023,s1554,s141]) ).
cnf(s3201,plain,
( ~ spl0_374
| ~ spl0_356
| ~ spl0_13
| ~ spl0_53
| ~ spl0_210
| ~ spl0_64 ),
inference(rat,[],[s1810,s3079,s1407,s2915]) ).
cnf(s3202,plain,
( ~ spl0_241
| ~ spl0_53
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2401,s3080,s3127,s1981,s1391,s3012,s1212,s3201,s1873,s2754,s3174,s2339,s1312,s2349,s1417,s1374,s3172,s2982,s22,s3200,s8,s1619,s33,s1615,s1427,s1188,s451,s2486,s223,s1554,s141,s3004,s1475,s3199]) ).
cnf(s3203,plain,
( ~ spl0_11
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1612,s1545,s1619,s2486,s141,s3004]) ).
cnf(s3205,plain,
( ~ spl0_358
| ~ spl0_377
| ~ spl0_53
| ~ spl0_13
| ~ spl0_64
| ~ spl0_3 ),
inference(rat,[],[s3201,s1212,s1873,s451,s2486,s141]) ).
cnf(s3206,plain,
( ~ spl0_53
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s2578,s3075,s2387,s2260,s2519,s2518,s1612,s33,s2488,s1370,s1853,s2284,s2516,s3079,s1417,s3201,s2915,s1990,s2029,s3172,s3076,s2860,s1760,s3036,s1816,s1192,s3205,s3012,s2766,s22,s3074,s935,s617,s2414,s3202,s16,s203,s1475,s1265,s2486,s223,s1554,s3199,s141,s3004,s8,s3203]) ).
cnf(s3208,plain,
( ~ spl0_251
| ~ spl0_328
| ~ spl0_241
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1312,s1822,s1417,s2716,s1836,s1554,s3199,s141,s3004]) ).
cnf(s3209,plain,
( ~ spl0_25
| ~ spl0_241
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1598,s1506,s1176,s3056,s2349,s2490,s2233,s1374,s3172,s3208,s3074,s935,s926,s3150,s3199,s8,s3203,s33,s1992,s3206,s2486,s141,s3004]) ).
cnf(s3210,plain,
( ~ spl0_374
| spl0_382
| ~ spl0_332
| spl0_277
| ~ spl0_278
| ~ spl0_23
| ~ spl0_82
| ~ spl0_210
| ~ spl0_64 ),
inference(rat,[],[s2342,s3075,s1930,s2260,s3079,s1370,s2919]) ).
cnf(s3211,plain,
( ~ spl0_241
| ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1391,s1218,s3012,s1211,s1212,s3210,s1405,s2709,s1553,s1873,s3056,s1323,s2754,s1506,s1372,s3174,s1598,s2339,s1176,s1312,s2349,s2490,s1417,s1374,s3172,s2982,s22,s3209,s451,s1265,s223,s1554,s3199,s8,s3203,s2698,s33,s1992,s3206,s2486,s141,s3004]) ).
cnf(s3212,plain,
( ~ spl0_251
| ~ spl0_285
| ~ spl0_372
| ~ spl0_18
| ~ spl0_26
| spl0_76
| ~ spl0_70
| ~ spl0_3 ),
inference(rat,[],[s3075,s2260,s2382,s3056,s1415,s1163,s1990]) ).
cnf(s3213,plain,
( spl0_271
| spl0_69
| ~ spl0_240
| ~ spl0_70
| ~ spl0_3 ),
inference(rat,[],[s2648,s2347,s1429,s1417]) ).
cnf(s3216,plain,
( ~ spl0_358
| ~ spl0_335
| ~ spl0_271
| ~ spl0_377
| ~ spl0_16
| ~ spl0_23
| spl0_53
| ~ spl0_64
| ~ spl0_3 ),
inference(rat,[],[s2260,s1370,s3056,s1853,s1937,s1622,s1930,s3075,s1750,s3079,s1902,s3080,s2919,s1407,s1815,s1212,s1873,s451,s2486,s141,s2698]) ).
cnf(s3217,plain,
( ~ spl0_3
| spl0_14 ),
inference(rat,[],[s1407,s3212,s2488,s1370,s1061,s1853,s1978,s1930,s3079,s2919,s2029,s3076,s1760,s3036,s1816,s3216,s1990,s3172,s1374,s3213,s3012,s2766,s22,s3074,s142,s935,s1232,s617,s1044,s2330,s2414,s1204,s3211,s16,s58,s33,s1992,s2698,s3206,s8,s3203,s223,s1554,s3199,s1265,s2486,s141,s3004]) ).
cnf(s3218,plain,
( ~ spl0_36
| ~ spl0_241
| spl0_14 ),
inference(rat,[],[s2194,s2552,s2527,s1988,s53,s3217]) ).
cnf(s3219,plain,
( spl0_356
| ~ spl0_140
| ~ spl0_57
| spl0_139
| ~ spl0_23 ),
inference(rat,[],[s2510,s3079,s2488,s2105]) ).
cnf(s3220,plain,
( ~ spl0_241
| ~ spl0_229
| ~ spl0_53
| spl0_14 ),
inference(rat,[],[s3072,s1882,s2399,s1980,s3219,s2395,s1999,s84,s1048,s2216,s3179,s2343,s3023,s1015,s1117,s2338,s1166,s1265,s2348,s33,s3218,s1418,s1988,s1188,s53,s3217]) ).
cnf(s3221,plain,
( ~ spl0_338
| ~ spl0_56
| ~ spl0_401
| spl0_356
| spl0_2
| ~ spl0_25
| ~ spl0_8 ),
inference(rat,[],[s3075,s1963,s2578,s836,s2387,s975]) ).
cnf(s3224,plain,
( ~ spl0_358
| ~ spl0_57
| ~ spl0_68
| spl0_2
| ~ spl0_143
| ~ spl0_25
| spl0_113
| ~ spl0_214
| ~ spl0_36
| ~ spl0_240
| ~ spl0_229
| spl0_14 ),
inference(rat,[],[s2648,s1429,s2403,s2519,s3221,s1998,s143,s3061,s2209,s1371,s1948,s2284,s3079,s2024,s2105,s3036,s2570,s3127,s1882,s1486,s2527,s2526,s53,s3217]) ).
cnf(s3225,plain,
( ~ spl0_374
| spl0_383
| spl0_285
| ~ spl0_391
| spl0_356
| spl0_2
| ~ spl0_110
| ~ spl0_25
| spl0_113
| ~ spl0_36
| ~ spl0_240
| ~ spl0_229
| spl0_14 ),
inference(rat,[],[s2648,s1429,s2403,s2519,s3221,s1998,s143,s3061,s3036,s2162,s1371,s2284,s2526,s3032,s919,s2527,s53,s3217]) ).
cnf(s3226,plain,
( ~ spl0_249
| ~ spl0_71
| ~ spl0_408
| spl0_378
| ~ spl0_68
| spl0_2
| ~ spl0_25
| ~ spl0_346
| ~ spl0_8
| spl0_210
| ~ spl0_53 ),
inference(rat,[],[s3075,s2171,s2336,s3172,s1598,s2394,s975,s2315,s1005,s836,s3125,s2439,s2441,s3051,s1578]) ).
cnf(s3227,plain,
( ~ spl0_25
| spl0_210
| spl0_97
| ~ spl0_53
| spl0_14 ),
inference(rat,[],[s3129,s1641,s3174,s3226,s2572,s154,s1862,s2162,s3036,s2204,s3225,s223,s1327,s390,s3127,s2411,s1948,s1792,s1954,s2123,s3079,s3076,s2105,s2831,s1980,s3224,s3098,s3032,s829,s912,s919,s1844,s617,s3151,s1204,s3220,s849,s894,s3142,s2931,s156,s141,s203,s2445,s2527,s2526,s33,s2348,s53,s3217]) ).
cnf(s3228,plain,
( spl0_210
| spl0_97
| ~ spl0_53
| spl0_14 ),
inference(rat,[],[s1163,s1827,s3056,s3172,s1263,s1457,s2582,s1418,s96,s71,s187,s2346,s438,s22,s3227,s3142,s2931,s156,s3113,s141,s203,s2445,s2526,s2527,s33,s2348,s53,s3217,s849]) ).
cnf(s3229,plain,
( spl0_271
| spl0_69
| ~ spl0_68
| ~ spl0_23
| ~ spl0_240 ),
inference(rat,[],[s2648,s2403,s1429,s2349]) ).
cnf(s3230,plain,
( spl0_69
| ~ spl0_110
| ~ spl0_68
| ~ spl0_23
| ~ spl0_93
| ~ spl0_240
| ~ spl0_229
| spl0_14 ),
inference(rat,[],[s2648,s1160,s1020,s2520,s2523,s3229,s53,s3217]) ).
cnf(s3231,plain,
( ~ spl0_404
| ~ spl0_112
| spl0_76
| spl0_36
| ~ spl0_13
| ~ spl0_64
| ~ spl0_210
| ~ spl0_53 ),
inference(rat,[],[s1391,s1218,s3012,s2204,s2029,s3201,s3076,s2488,s1954,s2586,s1265,s33]) ).
cnf(s3232,plain,
( ~ spl0_25
| spl0_97
| ~ spl0_53
| spl0_14 ),
inference(rat,[],[s2605,s3164,s2162,s3036,s3231,s143,s3230,s829,s1844,s935,s3074,s1204,s141,s1166,s8,s2330,s3032,s1044,s33,s2527,s2445,s1544,s3228,s53,s3217,s3220,s849]) ).
cnf(s3233,plain,
( ~ spl0_250
| ~ spl0_408
| ~ spl0_143
| ~ spl0_26 ),
inference(rat,[],[s3075,s2171,s2175,s1192,s1882]) ).
cnf(s3234,plain,
( ~ spl0_110
| spl0_97
| ~ spl0_53
| spl0_14 ),
inference(rat,[],[s1692,s2612,s2609,s2394,s3172,s3233,s3036,s3231,s143,s1117,s3230,s617,s1204,s141,s1166,s8,s2330,s3032,s1044,s33,s2527,s2445,s1544,s3228,s53,s3220,s849,s431,s22,s3232,s3217]) ).
cnf(s3235,plain,
( spl0_97
| ~ spl0_53
| spl0_14 ),
inference(rat,[],[s2648,s1416,s1020,s3106,s2523,s220,s3229,s1998,s142,s3234,s438,s22,s3232,s3032,s1232,s1044,s2330,s33,s2527,s8,s2445,s141,s1544,s1166,s3228,s1204,s3220,s849,s53,s3217]) ).
cnf(s3236,plain,
( spl0_354
| ~ spl0_72
| spl0_69
| ~ spl0_23
| ~ spl0_68 ),
inference(rat,[],[s3077,s2420,s2238,s1050]) ).
cnf(s3237,plain,
( ~ spl0_53
| spl0_14 ),
inference(rat,[],[s2644,s999,s1201,s2160,s3236,s2216,s1206,s294,s241,s3179,s224,s220,s700,s438,s142,s22,s33,s1232,s3074,s3106,s2527,s8,s935,s1554,s2053,s2445,s926,s141,s1544,s1166,s3032,s2895,s1614,s1475,s3235,s53,s3217]) ).
cnf(s3238,plain,
( ~ spl0_404
| spl0_59
| ~ spl0_111
| ~ spl0_50
| ~ spl0_229 ),
inference(rat,[],[s1919,s3076,s1279,s2513,s2016,s2220]) ).
cnf(s3239,plain,
( spl0_64
| ~ spl0_69
| ~ spl0_140
| spl0_2
| ~ spl0_50
| spl0_110
| ~ spl0_113
| spl0_241
| ~ spl0_229
| ~ spl0_82 ),
inference(rat,[],[s3079,s1709,s1978,s2066,s3036,s3238,s153,s2487,s1205,s2397,s2475,s160,s156,s2709,s610,s142]) ).
cnf(s3240,plain,
( ~ spl0_151
| ~ spl0_64
| ~ spl0_50
| ~ spl0_11
| spl0_53 ),
inference(rat,[],[s1370,s2522,s1917,s3127,s3076,s3079,s1402,s1919,s1930,s2209,s2698]) ).
cnf(s3242,plain,
( spl0_354
| ~ spl0_139
| ~ spl0_72
| ~ spl0_231
| ~ spl0_229 ),
inference(rat,[],[s2159,s999,s3077,s3171,s2238,s1388]) ).
cnf(s3243,plain,
( ~ spl0_354
| ~ spl0_36
| spl0_14 ),
inference(rat,[],[s1579,s2452,s2455,s2526,s53,s3217]) ).
cnf(s3244,plain,
( ~ spl0_25
| ~ spl0_113
| ~ spl0_36
| spl0_97
| spl0_14 ),
inference(rat,[],[s3176,s2487,s2105,s3079,s2511,s2066,s3036,s2016,s2568,s1279,s3240,s3239,s142,s2848,s3174,s3242,s2849,s3179,s3168,s2069,s881,s190,s3151,s2698,s849,s3022,s1992,s3237,s3243,s618,s2527,s2709,s610,s3218,s223,s144,s2526,s53,s3217]) ).
cnf(s3245,plain,
( ~ spl0_113
| ~ spl0_36
| spl0_97
| spl0_14 ),
inference(rat,[],[s2621,s1164,s1021,s1380,s1310,s1312,s2339,s3174,s2849,s220,s700,s225,s187,s438,s22,s3244,s3122,s3106,s146,s144,s2698,s3237,s2526,s53,s3217]) ).
cnf(s3246,plain,
( ~ spl0_110
| spl0_113
| spl0_241
| ~ spl0_11
| ~ spl0_229
| spl0_53 ),
inference(rat,[],[s160,s153,s1117,s1205,s2446,s143,s2025,s3032,s919,s1844,s617,s2556,s862,s2698]) ).
cnf(s3247,plain,
( ~ spl0_25
| spl0_113
| spl0_354
| spl0_241
| ~ spl0_11
| spl0_210
| spl0_97
| spl0_53 ),
inference(rat,[],[s142,s2016,s2025,s1279,s3032,s3240,s3036,s1044,s160,s3007,s2692,s153,s3023,s1205,s2421,s3242,s155,s3179,s3168,s2069,s881,s3151,s3022,s2556,s862,s2698,s3246,s849]) ).
cnf(s3248,plain,
( spl0_64
| ~ spl0_26
| spl0_110
| ~ spl0_59
| ~ spl0_240
| spl0_3 ),
inference(rat,[],[s1340,s1009,s154,s215,s156]) ).
cnf(s3249,plain,
( ~ spl0_76
| ~ spl0_119
| ~ spl0_140
| ~ spl0_48
| spl0_113
| spl0_354
| ~ spl0_231
| spl0_241
| ~ spl0_8
| ~ spl0_229 ),
inference(rat,[],[s2421,s3242,s1009,s700,s2692,s90,s1044,s1204]) ).
cnf(s3250,plain,
( ~ spl0_36
| spl0_97
| spl0_14 ),
inference(rat,[],[s2488,s2510,s1809,s3242,s700,s3079,s1418,s2692,s3023,s2837,s1117,s1205,s2446,s143,s142,s2025,s3032,s3249,s155,s3179,s1545,s3248,s438,s22,s3247,s3246,s2556,s862,s3245,s3243,s1204,s3022,s3218,s2526,s2527,s1992,s53,s3217,s2698,s3237,s849]) ).
cnf(s3251,plain,
( spl0_59
| spl0_376
| ~ spl0_25
| spl0_11
| ~ spl0_23
| spl0_14 ),
inference(rat,[],[s3164,s1919,s2488,s3076,s1980,s2513,s1209,s53,s3217,s190,s3150,s3237]) ).
cnf(s3252,plain,
( spl0_64
| ~ spl0_59
| spl0_2
| spl0_11
| spl0_36 ),
inference(rat,[],[s2343,s153,s155,s160,s162]) ).
cnf(s3253,plain,
( spl0_354
| ~ spl0_140
| ~ spl0_57
| ~ spl0_9
| spl0_2
| ~ spl0_25
| ~ spl0_231
| ~ spl0_67
| ~ spl0_23
| ~ spl0_229
| spl0_53 ),
inference(rat,[],[s2207,s1139,s3077,s3010,s2159,s1001,s999,s2410,s3175,s3171,s1386,s1050,s1388]) ).
cnf(s3254,plain,
( spl0_69
| ~ spl0_73
| ~ spl0_9
| spl0_2
| ~ spl0_25
| ~ spl0_231
| ~ spl0_67
| spl0_97
| spl0_14 ),
inference(rat,[],[s3077,s1821,s1727,s2452,s3253,s3179,s2343,s2839,s53,s3217,s3237,s849,s33,s3250]) ).
cnf(s3255,plain,
( ~ spl0_25
| spl0_210
| ~ spl0_113
| spl0_97
| spl0_14 ),
inference(rat,[],[s1370,s2522,s1917,s3076,s3079,s1919,s1930,s3127,s3164,s1385,s2488,s2399,s2395,s3254,s3252,s3251,s84,s145,s2220,s879,s3036,s881,s2814,s3150,s2698,s3237,s849,s1988,s618,s1983,s2330,s33,s3250,s53,s3217,s3022]) ).
cnf(s3256,plain,
( spl0_354
| spl0_139
| ~ spl0_140
| ~ spl0_57
| ~ spl0_23 ),
inference(rat,[],[s2646,s2410,s1386,s1050]) ).
cnf(s3257,plain,
( ~ spl0_354
| ~ spl0_73
| spl0_69
| ~ spl0_67
| spl0_14 ),
inference(rat,[],[s3077,s1821,s1727,s2452,s53,s3217]) ).
cnf(s3258,plain,
( spl0_69
| ~ spl0_231
| ~ spl0_113
| spl0_97
| spl0_14 ),
inference(rat,[],[s2402,s1017,s3078,s1132,s2207,s2470,s1063,s3077,s3010,s2159,s1001,s999,s1525,s3171,s3256,s1050,s1388,s3257,s84,s3179,s1048,s2343,s3013,s2839,s2025,s3237,s849,s16,s144,s1988,s2330,s33,s3250,s53,s3217]) ).
cnf(s3259,plain,
( ~ spl0_356
| ~ spl0_371
| ~ spl0_143
| spl0_14 ),
inference(rat,[],[s3072,s1882,s2399,s1980,s53,s3217]) ).
cnf(s3260,plain,
( ~ spl0_57
| ~ spl0_69
| ~ spl0_26
| ~ spl0_113
| ~ spl0_23
| spl0_14 ),
inference(rat,[],[s3125,s1963,s1014,s3075,s1596,s2344,s1826,s2291,s2609,s2349,s3025,s2394,s1836,s3172,s3233,s3036,s1740,s3012,s2123,s3076,s1192,s2522,s1211,s1370,s1917,s3079,s2105,s2698,s3237,s1188,s16,s144,s141,s2397,s1117,s187,s438,s2224,s2488,s3127,s1385,s3259,s2395,s1418,s1988,s2330,s53,s3217]) ).
cnf(s3261,plain,
( spl0_354
| ~ spl0_139
| spl0_57
| ~ spl0_231
| ~ spl0_16
| ~ spl0_67
| spl0_36
| ~ spl0_229
| spl0_53 ),
inference(rat,[],[s2009,s1017,s1132,s2207,s1063,s3077,s3010,s2159,s1001,s999,s1525,s3171,s1050,s1388,s33]) ).
cnf(s3262,plain,
( spl0_210
| ~ spl0_113
| spl0_97
| spl0_14 ),
inference(rat,[],[s3078,s2103,s2400,s2452,s3261,s1015,s3023,s3260,s2395,s3258,s1117,s187,s438,s22,s3255,s3022,s3237,s849,s1188,s2224,s1418,s16,s144,s1988,s2330,s33,s3250,s53,s3217]) ).
cnf(s3263,plain,
( ~ spl0_113
| spl0_97
| spl0_14 ),
inference(rat,[],[s1999,s84,s2395,s1048,s3259,s2216,s3219,s3179,s2343,s3023,s1015,s1117,s2338,s1166,s1265,s3262,s1418,s1988,s1188,s2330,s53,s3217,s849,s33,s3250]) ).
cnf(s3264,plain,
( spl0_69
| ~ spl0_67
| spl0_97
| spl0_14 ),
inference(rat,[],[s2402,s1017,s3078,s1132,s2207,s2470,s1063,s3077,s3010,s2159,s1001,s999,s3171,s1388,s1525,s3022,s3256,s1050,s1265,s3257,s1999,s16,s84,s3179,s90,s1048,s2343,s3013,s2839,s2025,s3237,s849,s33,s3250]) ).
cnf(s3265,plain,
( ~ spl0_241
| spl0_97
| spl0_14 ),
inference(rat,[],[s3079,s1862,s1978,s2162,s154,s3036,s156,s3061,s1117,s2488,s2446,s3259,s143,s2395,s3264,s1418,s1983,s1988,s53,s3217,s33,s3250,s2556,s862,s3263,s849,s2698,s3237]) ).
cnf(s3266,plain,
( spl0_64
| ~ spl0_231
| spl0_97
| spl0_14 ),
inference(rat,[],[s3150,s1260,s861,s22,s160,s215,s3217,s153,s1205,s2446,s143,s2025,s3032,s1044,s33,s3250,s3265,s2556,s862,s3263,s849,s2698,s3237]) ).
cnf(s3267,plain,
( ~ spl0_25
| spl0_210
| spl0_97
| spl0_14 ),
inference(rat,[],[s1001,s2510,s3010,s2605,s1123,s1107,s3240,s2452,s3151,s829,s3247,s53,s3217,s141,s3079,s2837,s1260,s8,s1232,s142,s3179,s218,s16,s1639,s617,s1117,s2446,s2698,s143,s2025,s3032,s1044,s3265,s33,s3250,s849,s3237,s3263,s3266,s3022]) ).
cnf(s3268,plain,
( spl0_210
| spl0_97
| spl0_14 ),
inference(rat,[],[s2488,s1809,s2510,s393,s73,s438,s22,s3267,s3179,s218,s3079,s16,s2837,s1639,s142,s617,s1418,s1117,s141,s3266,s3022,s3217,s3023,s1205,s2446,s143,s2025,s3032,s1044,s33,s3250,s849,s3263,s2698,s3237,s3265]) ).
cnf(s3269,plain,
( spl0_338
| spl0_18
| ~ spl0_375
| spl0_404
| spl0_374
| spl0_151
| ~ spl0_93
| ~ spl0_112
| ~ spl0_68
| ~ spl0_82 ),
inference(rat,[],[s1598,s1578,s2172,s3174,s3075,s3073,s2171,s1312,s3080,s3172,s1021,s2401,s2612,s3036]) ).
cnf(s3270,plain,
( spl0_97
| spl0_14 ),
inference(rat,[],[s2523,s2349,s1380,s3269,s1709,s3127,s1385,s2016,s2568,s1279,s3179,s2919,s3240,s218,s3079,s8,s16,s2837,s1232,s1639,s142,s617,s1117,s141,s1544,s1166,s3268,s2446,s143,s2025,s3032,s1044,s3265,s3263,s33,s3250,s849,s53,s3217,s2698,s3237]) ).
cnf(s3271,plain,
( ~ spl0_241
| ~ spl0_113
| spl0_14 ),
inference(rat,[],[s2971,s8,s16,s141,s618,s926,s144,s1554,s1983,s1988,s53,s3217,s2698,s3237,s3270]) ).
cnf(s3272,plain,
( ~ spl0_113
| spl0_14 ),
inference(rat,[],[s1992,s33,s3022,s2330,s1534,s3271,s3237,s3270]) ).
cnf(s3274,plain,
( ~ spl0_11
| ~ spl0_118
| ~ spl0_255
| spl0_354
| spl0_69
| ~ spl0_214
| spl0_36
| ~ spl0_67 ),
inference(rat,[],[s1002,s999,s2207,s3256,s3077,s3179,s2420,s2343,s3032,s1594,s2194,s1260,s1050,s33]) ).
cnf(s3275,plain,
( spl0_69
| spl0_210
| spl0_14 ),
inference(rat,[],[s215,s2343,s22,s1595,s3150,s3274,s154,s2556,s2468,s3171,s1388,s1050,s3257,s2698,s3237,s84,s846,s33,s3218,s894,s926,s1983,s156,s141,s1554,s1988,s1534,s3022,s53,s3217,s3270]) ).
cnf(s3276,plain,
( spl0_210
| spl0_14 ),
inference(rat,[],[s1370,s1917,s2462,s3079,s1192,s3076,s1978,s1882,s1760,s3036,s3061,s2488,s2446,s3259,s143,s2395,s3275,s141,s33,s1554,s1418,s3218,s1988,s1534,s3022,s53,s3217,s2698,s3237,s3270,s3272]) ).
cnf(s3277,plain,
( ~ spl0_11
| ~ spl0_271
| spl0_14 ),
inference(rat,[],[s1164,s1827,s3056,s1522,s1497,s1545,s3142,s3272,s141,s1166,s2523,s2520,s53,s3217,s3172,s1374,s3270,s3276]) ).
cnf(s3278,plain,
( spl0_69
| spl0_14 ),
inference(rat,[],[s2646,s1130,s1736,s1556,s3023,s398,s3236,s1202,s73,s700,s438,s22,s3074,s8,s3277,s3229,s3272,s935,s3106,s1554,s141,s1166,s1204,s3032,s1044,s1983,s926,s1544,s3270,s53,s3217,s33,s1992,s3276,s3237]) ).
cnf(s3279,plain,
spl0_14,
inference(rat,[],[s3269,s1709,s3127,s1385,s2016,s2349,s2568,s1279,s3179,s2919,s3277,s3240,s218,s3079,s8,s16,s2837,s1232,s1639,s2446,s142,s143,s3278,s3032,s1044,s1983,s33,s926,s141,s1992,s1544,s1166,s3276,s3272,s3270,s2698,s3237,s53,s3217]) ).
cnf(s3280,plain,
( ~ spl0_25
| spl0_50
| spl0_72
| ~ spl0_57
| spl0_9
| ~ spl0_113
| ~ spl0_53
| ~ spl0_143
| ~ spl0_84 ),
inference(rat,[],[s2123,s3012,s3076,s2229,s2831,s3036,s2813,s2814,s879,s618,s3137,s2213,s3279]) ).
cnf(s3281,plain,
( ~ spl0_3
| spl0_210
| ~ spl0_113
| ~ spl0_53
| spl0_69
| spl0_64
| ~ spl0_229 ),
inference(rat,[],[s3072,s2229,s3233,s3012,s3172,s2123,s1588,s3076,s3125,s2831,s3053,s2813,s566,s59,s187,s2800,s22,s3280,s190,s2486,s2407,s2889,s156,s2224,s1418,s223,s2023,s1528,s3279]) ).
cnf(s3282,plain,
( ~ spl0_2
| ~ spl0_25
| spl0_210
| ~ spl0_113
| ~ spl0_53
| ~ spl0_67
| ~ spl0_84
| ~ spl0_229 ),
inference(rat,[],[s2247,s3280,s84,s1231,s861,s1418,s3022,s1528,s3279]) ).
cnf(s3283,plain,
( ~ spl0_25
| spl0_210
| ~ spl0_113
| ~ spl0_53
| ~ spl0_67
| ~ spl0_84
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s3137,s618,s2445,s770,s3282,s2213]) ).
cnf(s3284,plain,
( spl0_210
| ~ spl0_113
| ~ spl0_53
| spl0_69
| spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s187,s438,s22,s3283,s3281,s156,s2224,s1418,s223,s2023]) ).
cnf(s3285,plain,
( ~ spl0_113
| ~ spl0_53
| ~ spl0_241
| spl0_69
| spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s47,s749,s869,s1451,s618,s84,s53,s2221,s1999,s2882,s2338,s1265,s3284,s2213,s33,s156]) ).
cnf(s3286,plain,
( spl0_11
| ~ spl0_25
| spl0_210
| spl0_113
| ~ spl0_53
| ~ spl0_67
| ~ spl0_84
| ~ spl0_36
| ~ spl0_229 ),
inference(rat,[],[s2516,s3164,s1428,s774,s1792,s1954,s2524,s3076,s426,s2831,s2650,s2247,s2187,s84,s935,s2813,s1231,s861,s3074,s879,s8,s1418,s3022,s1528,s3279]) ).
cnf(s3287,plain,
( ~ spl0_285
| ~ spl0_118
| ~ spl0_11
| ~ spl0_53 ),
inference(rat,[],[s1862,s3079,s2209,s1852]) ).
cnf(s3288,plain,
( ~ spl0_264
| ~ spl0_214
| ~ spl0_67
| ~ spl0_229 ),
inference(rat,[],[s2207,s3077,s1002,s2159]) ).
cnf(s3289,plain,
( ~ spl0_256
| ~ spl0_15
| ~ spl0_5
| ~ spl0_68
| ~ spl0_231
| ~ spl0_53
| ~ spl0_67
| spl0_69 ),
inference(rat,[],[s1420,s1592,s1821,s2207,s3077,s2328,s1388]) ).
cnf(s3290,plain,
( ~ spl0_345
| ~ spl0_11
| ~ spl0_67
| spl0_69 ),
inference(rat,[],[s2409,s3077,s1492,s1821,s3032,s2194]) ).
cnf(s3291,plain,
( ~ spl0_25
| spl0_210
| spl0_113
| ~ spl0_53
| ~ spl0_241
| spl0_69
| spl0_64
| ~ spl0_36
| spl0_97 ),
inference(rat,[],[s2207,s3077,s1592,s2420,s1386,s1523,s3175,s2150,s2438,s1551,s3290,s999,s3171,s3289,s3288,s53,s1432,s2650,s3098,s426,s912,s47,s2524,s2731,s1448,s3032,s3151,s894,s2194,s2445,s3286,s156,s1418,s223,s2023,s849,s3022,s1528]) ).
cnf(s3292,plain,
( ~ spl0_2
| ~ spl0_26
| spl0_9
| spl0_113
| ~ spl0_53
| ~ spl0_67
| spl0_64
| ~ spl0_36
| ~ spl0_229 ),
inference(rat,[],[s2650,s426,s1432,s2524,s1976,s1428,s2105,s1792,s3079,s3076,s1864,s2247,s1788,s1192,s84,s2813,s1231,s156,s1418,s3279]) ).
cnf(s3293,plain,
( spl0_210
| spl0_113
| ~ spl0_53
| ~ spl0_241
| spl0_69
| spl0_64
| ~ spl0_36
| spl0_97 ),
inference(rat,[],[s1432,s53,s2650,s3289,s426,s3171,s2524,s2196,s1448,s3032,s3290,s2194,s739,s1587,s47,s3292,s22,s3291,s1528,s3022,s156,s1418,s223,s2023,s849,s3279]) ).
cnf(s3294,plain,
( ~ spl0_53
| ~ spl0_241
| spl0_69
| spl0_64
| spl0_23
| spl0_97 ),
inference(rat,[],[s2445,s749,s1591,s47,s1231,s1451,s84,s53,s1999,s2882,s1265,s3293,s3285,s33,s223,s2023,s849]) ).
cnf(s3295,plain,
( spl0_53
| spl0_69
| spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s2889,s1203,s2651,s47,s1686,s1532,s1521,s2192,s2971,s8,s16,s2194,s90,s3013,s2025,s2698,s33,s223,s2023]) ).
cnf(s3296,plain,
( spl0_11
| spl0_113
| spl0_210
| ~ spl0_53
| ~ spl0_67
| spl0_64
| ~ spl0_36
| ~ spl0_229 ),
inference(rat,[],[s47,s3292,s1587,s22,s739,s3286,s156,s1528,s3279]) ).
cnf(s3297,plain,
( ~ spl0_25
| ~ spl0_68
| spl0_345
| spl0_50
| ~ spl0_231
| spl0_241
| ~ spl0_53
| spl0_69
| spl0_64
| spl0_97 ),
inference(rat,[],[s2207,s3077,s1592,s2420,s1386,s1523,s3175,s2438,s2150,s999,s3171,s3098,s3289,s912,s47,s1844,s3151,s156,s53,s2414,s1418,s1551,s3288,s894,s223,s2023,s849]) ).
cnf(s3298,plain,
( spl0_210
| spl0_69
| spl0_64
| spl0_23
| spl0_97 ),
inference(rat,[],[s3289,s3171,s47,s2196,s3292,s22,s3297,s3032,s3290,s2194,s2445,s3296,s3284,s1528,s3022,s33,s156,s53,s2414,s3294,s3295,s1418,s223,s2023,s849]) ).
cnf(s3299,plain,
( spl0_69
| spl0_64
| spl0_23
| spl0_97 ),
inference(rat,[],[s2445,s1591,s749,s47,s1231,s84,s1999,s1451,s1265,s3298,s53,s2414,s3294,s3295,s1418,s223,s2023,s849,s33]) ).
cnf(s3300,plain,
( spl0_11
| spl0_210
| ~ spl0_67
| ~ spl0_53
| ~ spl0_69
| spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s3233,s3172,s3036,s1588,s2399,s3125,s2105,s3053,s3079,s2800,s2395,s1864,s2247,s438,s1844,s1192,s84,s187,s2475,s2813,s1231,s22,s2397,s47,s3283,s2224,s2213,s1587,s3296,s739,s33,s156,s1418,s1528,s3279]) ).
cnf(s3301,plain,
( ~ spl0_113
| ~ spl0_11
| ~ spl0_53
| ~ spl0_69
| ~ spl0_84 ),
inference(rat,[],[s2475,s2397,s618,s2213]) ).
cnf(s3302,plain,
( ~ spl0_404
| ~ spl0_112
| ~ spl0_11
| ~ spl0_53
| ~ spl0_84
| ~ spl0_229 ),
inference(rat,[],[s2513,s154,s3076,s3287,s1954,s2586,s2220]) ).
cnf(s3304,plain,
( ~ spl0_250
| ~ spl0_29
| ~ spl0_408
| spl0_241 ),
inference(rat,[],[s3075,s2298,s2171,s718,s3012,s2072]) ).
cnf(s3305,plain,
( ~ spl0_25
| spl0_241
| spl0_264
| ~ spl0_11
| ~ spl0_231
| ~ spl0_143
| ~ spl0_53
| ~ spl0_69
| ~ spl0_84
| spl0_97 ),
inference(rat,[],[s2648,s3051,s3129,s2439,s1522,s1005,s2612,s2394,s3172,s3304,s24,s606,s1111,s2103,s3078,s3034,s1509,s1592,s1388,s3171,s2572,s999,s154,s1866,s2242,s1862,s3079,s2169,s2162,s601,s189,s59,s829,s867,s566,s47,s1844,s3151,s2445,s3142,s1204,s53,s2414,s1882,s3036,s3302,s143,s3301,s849,s3279]) ).
cnf(s3306,plain,
( spl0_210
| ~ spl0_67
| ~ spl0_53
| spl0_64
| spl0_23
| spl0_97 ),
inference(rat,[],[s438,s70,s22,s3305,s2165,s3036,s3302,s2414,s1383,s143,s3301,s3288,s894,s2445,s3300,s2709,s1528,s3022,s849,s156,s3299,s1418]) ).
cnf(s3307,plain,
( ~ spl0_241
| ~ spl0_113
| spl0_11
| ~ spl0_210
| ~ spl0_67
| ~ spl0_53
| ~ spl0_69
| spl0_64
| ~ spl0_229 ),
inference(rat,[],[s2647,s3233,s1588,s3036,s3125,s2399,s3053,s2105,s97,s3079,s22,s2411,s3280,s2813,s1231,s1203,s47,s1587,s739,s1531,s3023,s1015,s2338,s2395,s1188,s156,s1418,s2213,s3279]) ).
cnf(s3308,plain,
( ~ spl0_113
| spl0_11
| ~ spl0_210
| ~ spl0_67
| ~ spl0_53
| ~ spl0_69
| spl0_64
| ~ spl0_229 ),
inference(rat,[],[s1587,s47,s739,s1844,s610,s3307,s2475,s2397,s2213,s156,s3279]) ).
cnf(s3309,plain,
( ~ spl0_241
| ~ spl0_112
| ~ spl0_210
| ~ spl0_67
| ~ spl0_53
| ~ spl0_84
| ~ spl0_229 ),
inference(rat,[],[s1231,s84,s1594,s2247,s1531,s154,s2709,s2493,s1383,s1872,s3279]) ).
cnf(s3310,plain,
( spl0_11
| ~ spl0_210
| ~ spl0_67
| ~ spl0_53
| ~ spl0_69
| spl0_64
| ~ spl0_36
| ~ spl0_229 ),
inference(rat,[],[s749,s1451,s47,s53,s1844,s2414,s3309,s142,s1232,s143,s3308,s8,s156,s1418]) ).
cnf(s3311,plain,
( ~ spl0_67
| ~ spl0_53
| spl0_64
| spl0_23
| spl0_97 ),
inference(rat,[],[s2221,s1978,s2731,s3079,s47,s2411,s1591,s390,s1451,s1108,s53,s1882,s2414,s3036,s3309,s3302,s143,s3301,s2445,s3310,s1265,s3306,s1418,s849,s33,s156,s3299]) ).
cnf(s3312,plain,
( spl0_210
| ~ spl0_2
| spl0_67
| ~ spl0_53
| ~ spl0_69
| ~ spl0_84
| spl0_97 ),
inference(rat,[],[s143,s1383,s2213,s1844,s2240,s3151,s390,s2709,s881,s1528,s1327,s223,s22,s2346,s849]) ).
cnf(s3313,plain,
( spl0_148
| ~ spl0_210
| ~ spl0_2
| spl0_67
| ~ spl0_69
| ~ spl0_84
| ~ spl0_229 ),
inference(rat,[],[s1844,s2338,s2475,s2240,s2397]) ).
cnf(s3314,plain,
( spl0_11
| ~ spl0_53
| spl0_64
| spl0_23
| spl0_97 ),
inference(rat,[],[s1531,s2247,s2709,s84,s1383,s869,s1844,s142,s1232,s143,s2213,s3313,s3312,s770,s8,s3299,s22,s2346,s3311,s156,s849,s3279]) ).
cnf(s3315,plain,
( ~ spl0_53
| spl0_64
| spl0_23
| spl0_97 ),
inference(rat,[],[s2744,s212,s153,s59,s2572,s160,s566,s919,s2240,s972,s2718,s3151,s390,s894,s3301,s2445,s3314,s22,s1327,s2346,s223,s3311,s849,s33,s156,s3299,s3279]) ).
cnf(s3316,plain,
( ~ spl0_113
| ~ spl0_67
| spl0_11
| ~ spl0_82
| spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s2705,s2247,s1231,s1203,s770,s2971,s22,s16,s2197,s144,s156,s8,s1418,s3279]) ).
cnf(s3317,plain,
( spl0_57
| ~ spl0_118
| ~ spl0_67
| ~ spl0_229 ),
inference(rat,[],[s1231,s84,s1594,s2247,s3279]) ).
cnf(s3318,plain,
( ~ spl0_67
| spl0_11
| ~ spl0_82
| ~ spl0_69
| spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s18,s1383,s217,s1205,s3317,s155,s154,s2446,s2556,s143,s862,s3316,s156,s162]) ).
cnf(s3319,plain,
( spl0_11
| spl0_53
| ~ spl0_69
| spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s935,s3074,s869,s1339,s84,s155,s2247,s2493,s3313,s1203,s881,s770,s3150,s22,s2346,s3318,s162,s8,s156,s2698,s558,s33,s3279]) ).
cnf(s3320,plain,
( ~ spl0_113
| ~ spl0_67
| ~ spl0_11
| ~ spl0_82
| ~ spl0_84
| ~ spl0_36
| spl0_97 ),
inference(rat,[],[s2740,s3151,s3168,s22,s2682,s2197,s618,s1418,s3317,s154,s2572,s98,s2194,s849]) ).
cnf(s3321,plain,
( ~ spl0_256
| ~ spl0_231
| ~ spl0_371
| ~ spl0_148 ),
inference(rat,[],[s2400,s3078,s1388,s2214]) ).
cnf(s3322,plain,
( spl0_358
| spl0_139
| ~ spl0_206
| ~ spl0_9
| ~ spl0_148
| ~ spl0_112
| ~ spl0_84 ),
inference(rat,[],[s3072,s1978,s3061,s3079,s1052,s2411]) ).
cnf(s3323,plain,
( spl0_139
| ~ spl0_371
| ~ spl0_9
| ~ spl0_148
| ~ spl0_112
| ~ spl0_57
| ~ spl0_143
| ~ spl0_11
| ~ spl0_84 ),
inference(rat,[],[s2105,s2399,s3079,s3036,s2511,s1882,s1486,s3322,s3179,s217,s601,s59,s566,s10,s3279]) ).
cnf(s3324,plain,
( ~ spl0_255
| ~ spl0_139
| ~ spl0_9
| ~ spl0_67
| ~ spl0_11
| spl0_53
| ~ spl0_84
| ~ spl0_229 ),
inference(rat,[],[s22,s1139,s2196,s2207,s1492,s3077,s3010,s2159,s1001,s999,s10]) ).
cnf(s3325,plain,
( ~ spl0_67
| ~ spl0_11
| spl0_53
| ~ spl0_69
| ~ spl0_84
| ~ spl0_36
| spl0_97 ),
inference(rat,[],[s3321,s3022,s3171,s2338,s3324,s3323,s2395,s2744,s1205,s2446,s143,s3320,s3317,s154,s2572,s98,s2194,s1418,s849,s2698]) ).
cnf(s3326,plain,
( spl0_110
| ~ spl0_25
| ~ spl0_11
| ~ spl0_69
| spl0_64
| ~ spl0_36
| spl0_97 ),
inference(rat,[],[s1009,s210,s3128,s59,s829,s566,s2740,s2397,s3151,s2475,s156,s3279]) ).
cnf(s3327,plain,
( spl0_64
| spl0_23
| spl0_97 ),
inference(rat,[],[s1011,s601,s153,s59,s2446,s2556,s160,s566,s143,s862,s2731,s618,s3326,s22,s2346,s3325,s3319,s2698,s3315,s3299,s156,s849,s33,s3279]) ).
cnf(s3328,plain,
( ~ spl0_57
| spl0_11
| ~ spl0_53
| ~ spl0_64 ),
inference(rat,[],[s1587,s47,s739,s910,s1531,s3279]) ).
cnf(s3329,plain,
( spl0_11
| ~ spl0_67
| spl0_69
| ~ spl0_53
| ~ spl0_64
| spl0_23 ),
inference(rat,[],[s2648,s2315,s1151,s1553,s2051,s3032,s63,s91,s50,s739,s59,s749,s1587,s24,s566,s47,s2637,s1231,s2407,s2230,s3023,s3328,s33,s203,s141,s1117,s1418,s3279]) ).
cnf(s3330,plain,
( ~ spl0_67
| spl0_69
| spl0_23
| ~ spl0_53
| ~ spl0_64 ),
inference(rat,[],[s2704,s79,s2194,s1545,s3329]) ).
cnf(s3331,plain,
( ~ spl0_2
| ~ spl0_404
| ~ spl0_378
| ~ spl0_248
| ~ spl0_50
| spl0_67
| spl0_69
| ~ spl0_53
| ~ spl0_64 ),
inference(rat,[],[s2291,s2578,s2292,s2284,s1371,s3079,s1194,s2915,s3201,s3075,s2245,s3048,s1192,s2280,s1216,s881,s223,s8,s2445]) ).
cnf(s3332,plain,
( spl0_69
| ~ spl0_53
| ~ spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s24,s2637,s63,s1767,s50,s739,s22,s59,s749,s1587,s770,s566,s47,s3331,s3036,s2075,s2759,s3125,s2051,s1151,s84,s2247,s3023,s3328,s3174,s2445,s2848,s2084,s223,s3330,s33,s203,s141,s3279]) ).
cnf(s3333,plain,
( ~ spl0_67
| ~ spl0_72
| ~ spl0_55
| spl0_11
| spl0_8
| spl0_23 ),
inference(rat,[],[s2647,s1827,s720,s1610,s2051,s3142,s63,s145,s50,s739,s59,s1532,s749,s1587,s24,s566,s47,s2637,s1231,s2407,s33,s3279]) ).
cnf(s3334,plain,
( ~ spl0_241
| ~ spl0_210
| spl0_148
| ~ spl0_55
| ~ spl0_229 ),
inference(rat,[],[s1015,s2338,s1188]) ).
cnf(s3335,plain,
( ~ spl0_250
| ~ spl0_29
| spl0_241
| ~ spl0_210
| ~ spl0_111
| ~ spl0_2
| spl0_67
| spl0_57
| ~ spl0_13
| ~ spl0_53
| ~ spl0_64 ),
inference(rat,[],[s3201,s2245,s1194,s1192,s1279,s1216,s2016,s2759,s3036,s3125,s3304,s718,s3279]) ).
cnf(s3336,plain,
( ~ spl0_251
| ~ spl0_347
| ~ spl0_111
| ~ spl0_64 ),
inference(rat,[],[s2291,s3025,s732]) ).
cnf(s3337,plain,
( ~ spl0_2
| spl0_67
| spl0_11
| ~ spl0_69
| ~ spl0_53
| ~ spl0_64
| ~ spl0_36
| ~ spl0_229 ),
inference(rat,[],[s2516,s3201,s1279,s2245,s2016,s1192,s3036,s1216,s2075,s758,s2759,s24,s3125,s3335,s718,s3172,s3336,s3334,s2397,s881,s2213,s3190,s1232,s1639,s142,s869,s16,s203,s141,s8,s3023,s84,s2247,s3328,s223,s3279]) ).
cnf(s3338,plain,
( spl0_11
| ~ spl0_53
| ~ spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s3072,s2220,s2075,s2513,s3012,s155,s2237,s220,s3076,s3070,s2004,s224,s73,s739,s22,s59,s1587,s770,s566,s47,s3337,s3106,s3333,s84,s2692,s2247,s3023,s3328,s33,s203,s141,s3332,s3279]) ).
cnf(s3341,plain,
( spl0_404
| spl0_265
| ~ spl0_29
| ~ spl0_206
| ~ spl0_57
| ~ spl0_67
| ~ spl0_11
| ~ spl0_69
| ~ spl0_53
| ~ spl0_64 ),
inference(rat,[],[s2648,s3051,s3073,s76,s155,s3080,s2689,s1887,s2439,s1371,s1273,s1522,s1005,s1948,s2612,s2394,s3079,s3172,s1192,s2169,s3304,s2162,s1882,s3036,s1545,s2194,s3142,s1383,s2709,s1531,s143,s618,s142,s1341,s1117,s1418,s894,s2445]) ).
cnf(s3342,plain,
( ~ spl0_67
| ~ spl0_11
| ~ spl0_69
| ~ spl0_53
| ~ spl0_64
| ~ spl0_36
| ~ spl0_229 ),
inference(rat,[],[s2596,s2204,s1486,s1371,s1192,s1948,s1787,s3079,s3076,s2209,s1852,s1954,s2586,s3341,s1509,s1592,s1420,s1388,s3022,s24,s1108,s606,s53,s451,s601,s189,s59,s1587,s566,s47,s143,s1107,s3171,s2731,s618,s999,s390,s142,s2216,s1341,s1117,s3288,s2194,s1418,s2424,s203,s141,s894,s2445,s3179,s1545,s3279]) ).
cnf(s3343,plain,
( ~ spl0_53
| ~ spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s919,s142,s2216,s1341,s1011,s601,s59,s566,s910,s2692,s155,s390,s2572,s1327,s972,s223,s3342,s3179,s894,s1545,s2445,s3338,s3332,s33,s3279]) ).
cnf(s3344,plain,
( ~ spl0_139
| ~ spl0_255
| ~ spl0_76
| ~ spl0_16
| spl0_72
| ~ spl0_206
| ~ spl0_9
| ~ spl0_67
| spl0_53
| ~ spl0_229 ),
inference(rat,[],[s1017,s1525,s2402,s1075,s3078,s1132,s1821,s2207,s2470,s2577,s3077,s3010,s2159,s1001,s999]) ).
cnf(s3345,plain,
( ~ spl0_354
| spl0_69
| ~ spl0_73
| ~ spl0_6
| ~ spl0_15
| ~ spl0_67 ),
inference(rat,[],[s1821,s3077,s1420,s1727]) ).
cnf(s3346,plain,
( spl0_69
| ~ spl0_16
| spl0_72
| ~ spl0_206
| ~ spl0_9
| ~ spl0_26
| ~ spl0_6
| spl0_3
| ~ spl0_57
| ~ spl0_67
| spl0_53
| ~ spl0_93
| ~ spl0_229 ),
inference(rat,[],[s2646,s2410,s1386,s1034,s3345,s3344,s3171,s3047,s2700,s3013,s2025,s53,s3179,s217,s84]) ).
cnf(s3347,plain,
( ~ spl0_404
| spl0_139
| ~ spl0_371
| ~ spl0_73
| ~ spl0_9
| ~ spl0_29
| ~ spl0_57 ),
inference(rat,[],[s3079,s2511,s2105,s2566,s2399,s2226,s3179,s217]) ).
cnf(s3348,plain,
( ~ spl0_76
| ~ spl0_371
| ~ spl0_16
| spl0_72
| ~ spl0_206
| ~ spl0_9
| ~ spl0_26
| ~ spl0_6
| ~ spl0_29
| spl0_3
| ~ spl0_57
| ~ spl0_67
| spl0_53
| ~ spl0_93
| ~ spl0_229 ),
inference(rat,[],[s3079,s1950,s2169,s3036,s3347,s3344,s3171,s3047,s2700,s1418,s3179,s217,s84]) ).
cnf(s3349,plain,
( ~ spl0_57
| ~ spl0_67
| spl0_11
| ~ spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s2689,s2551,s155,s2338,s76,s98,s2216,s3348,s2395,s3346,s16,s3179,s610,s145,s144,s217,s601,s1061,s739,s22,s59,s1532,s749,s1587,s24,s770,s566,s47,s2637,s910,s451,s33,s141,s2698,s3343,s1117,s1418,s3279]) ).
cnf(s3350,plain,
( ~ spl0_67
| spl0_11
| ~ spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s1061,s3176,s145,s3333,s2709,s2230,s573,s3023,s3349,s1117,s1418,s33,s2698,s3343,s3279]) ).
cnf(s3351,plain,
( ~ spl0_57
| spl0_67
| spl0_11
| ~ spl0_82
| ~ spl0_64
| ~ spl0_36 ),
inference(rat,[],[s1061,s1205,s610,s1469,s739,s1532,s749,s1587,s47,s53,s910,s451,s3279]) ).
cnf(s3352,plain,
( spl0_11
| ~ spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s1117,s617,s2446,s142,s143,s2025,s3032,s1232,s91,s145,s2709,s84,s573,s2247,s3351,s3350,s8,s33,s2698,s3343,s3279]) ).
cnf(s3353,plain,
( ~ spl0_67
| ~ spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s2551,s2338,s3304,s24,s3036,s606,s3172,s2016,s53,s3336,s1276,s451,s142,s935,s2424,s2689,s2692,s618,s144,s155,s2397,s143,s76,s74,s2216,s2446,s98,s3032,s1117,s2194,s1418,s33,s2698,s3343,s3179,s1545,s3352]) ).
cnf(s3354,plain,
( spl0_69
| ~ spl0_72
| ~ spl0_206
| ~ spl0_70
| ~ spl0_11
| spl0_53
| ~ spl0_93
| ~ spl0_229 ),
inference(rat,[],[s2621,s966,s1497,s1152,s2709,s1520,s1171,s693,s91,s3174,s3013,s2848,s2025]) ).
cnf(s3355,plain,
( ~ spl0_57
| spl0_67
| ~ spl0_11
| spl0_53
| ~ spl0_64
| ~ spl0_229 ),
inference(rat,[],[s3075,s2296,s2171,s2075,s3036,s2016,s3125,s1279,s721,s3240,s3172,s894,s3336,s1341,s142,s618,s2397,s143,s3354,s2446,s1011,s700,s601,s59,s566,s910,s141,s2698,s223,s3279]) ).
cnf(s3356,plain,
( ~ spl0_64
| spl0_23
| ~ spl0_229 ),
inference(rat,[],[s98,s91,s2572,s2709,s155,s84,s573,s2692,s2247,s3355,s3353,s1545,s3352,s2698,s3343,s3279]) ).
cnf(s3357,plain,
( spl0_23
| spl0_97 ),
inference(rat,[],[s3356,s3327,s849]) ).
cnf(s3358,plain,
( ~ spl0_57
| ~ spl0_53
| ~ spl0_67
| spl0_119
| spl0_11
| spl0_97 ),
inference(rat,[],[s1231,s1878,s47,s2572,s1587,s155,s739,s2099,s1531,s849,s2348,s3357,s3279]) ).
cnf(s3359,plain,
( spl0_57
| ~ spl0_67
| spl0_64
| ~ spl0_229 ),
inference(rat,[],[s566,s1231,s59,s84,s210,s2247,s3279]) ).
cnf(s3360,plain,
( ~ spl0_67
| spl0_11
| spl0_64
| spl0_97 ),
inference(rat,[],[s2123,s3076,s3012,s2513,s2229,s2220,s3036,s145,s2814,s879,s3197,s881,s2971,s2493,s22,s16,s1872,s2197,s90,s1044,s862,s98,s2556,s2572,s2698,s155,s3358,s2099,s3359,s1418,s849,s3357,s156,s8,s162,s3279]) ).
cnf(s3361,plain,
( ~ spl0_57
| ~ spl0_53
| ~ spl0_25
| spl0_67
| spl0_119
| spl0_11
| spl0_97 ),
inference(rat,[],[s894,s972,s1203,s2572,s879,s155,s1531,s2099,s849,s3357]) ).
cnf(s3362,plain,
( ~ spl0_53
| spl0_11
| spl0_64
| spl0_97 ),
inference(rat,[],[s1232,s142,s2213,s869,s3313,s566,s59,s84,s210,s2247,s3361,s2348,s3357,s8,s162,s2023,s223,s22,s2346,s3360,s156,s849,s3279]) ).
cnf(s3363,plain,
( ~ spl0_57
| ~ spl0_50
| ~ spl0_82
| ~ spl0_25
| spl0_67
| spl0_119
| spl0_11
| spl0_97 ),
inference(rat,[],[s91,s700,s98,s59,s2572,s879,s566,s155,s1203,s2099,s849,s3357,s3279]) ).
cnf(s3364,plain,
( spl0_11
| spl0_64
| spl0_97 ),
inference(rat,[],[s142,s869,s1232,s566,s145,s2709,s59,s84,s573,s210,s2247,s3363,s3150,s2698,s3362,s22,s2023,s2346,s223,s3360,s162,s8,s849,s156,s3279]) ).
cnf(s3365,plain,
( ~ spl0_53
| ~ spl0_11
| spl0_64
| ~ spl0_23 ),
inference(rat,[],[s1591,s1451,s1265,s2445,s2348,s53,s1618,s47,s1408]) ).
cnf(s3366,plain,
( spl0_72
| ~ spl0_69
| ~ spl0_67
| spl0_53
| ~ spl0_57
| ~ spl0_4
| ~ spl0_11
| ~ spl0_84
| ~ spl0_229 ),
inference(rat,[],[s3321,s3022,s3171,s1973,s3324,s3323,s2709,s1383,s2446,s2395,s143,s3246,s618,s699,s84,s2698,s1418]) ).
cnf(s3367,plain,
( ~ spl0_67
| spl0_53
| spl0_56
| ~ spl0_57
| ~ spl0_4
| ~ spl0_11
| ~ spl0_84
| ~ spl0_229 ),
inference(rat,[],[s3323,s2709,s2338,s1383,s2446,s2551,s2395,s143,s3246,s618,s2682,s2691,s3366,s154,s155,s2572,s98,s1998,s3032,s2194,s1418,s2698]) ).
cnf(s3368,plain,
( spl0_64
| spl0_97 ),
inference(rat,[],[s618,s2475,s143,s2397,s2446,s2023,s1011,s223,s3367,s2698,s3365,s2099,s210,s601,s59,s1587,s566,s47,s1408,s3364,s156,s849,s3357,s3279]) ).
cnf(s3369,plain,
( spl0_255
| ~ spl0_354
| spl0_69
| ~ spl0_68
| ~ spl0_5
| ~ spl0_15
| ~ spl0_67
| ~ spl0_53
| ~ spl0_93 ),
inference(rat,[],[s2207,s1592,s3077,s1420,s2328,s1107,s3171]) ).
cnf(s3370,plain,
( spl0_69
| ~ spl0_67
| ~ spl0_72
| ~ spl0_55
| ~ spl0_53
| spl0_97 ),
inference(rat,[],[s1821,s1420,s3077,s1592,s2420,s1130,s1523,s3175,s1736,s999,s3369,s2160,s3236,s141,s53,s2407,s47,s1231,s3032,s1044,s3334,s1117,s1418,s3368,s2348,s849,s3357]) ).
cnf(s3372,plain,
( ~ spl0_276
| ~ spl0_112
| ~ spl0_9
| ~ spl0_72 ),
inference(rat,[],[s2647,s2612,s720,s1610]) ).
cnf(s3373,plain,
( ~ spl0_67
| ~ spl0_53
| spl0_11
| spl0_97 ),
inference(rat,[],[s3201,s2488,s2024,s2586,s3127,s3036,s2566,s2075,s2759,s3125,s3372,s143,s3370,s739,s2330,s1587,s3334,s47,s1117,s1231,s1418,s8,s2348,s3357,s3023,s84,s2247,s3328,s3368,s849,s3279]) ).
cnf(s3374,plain,
( spl0_69
| ~ spl0_53
| spl0_11
| spl0_97 ),
inference(rat,[],[s1767,s220,s22,s1998,s3197,s3032,s1160,s91,s692,s739,s59,s1587,s566,s47,s3331,s3036,s2075,s2759,s3125,s1151,s3174,s2848,s2084,s141,s84,s2247,s3328,s3368,s849,s3106,s223,s3373,s3279]) ).
cnf(s3375,plain,
( ~ spl0_113
| ~ spl0_55
| ~ spl0_53
| spl0_97 ),
inference(rat,[],[s3334,s2330,s2213,s849,s2348,s3357]) ).
cnf(s3376,plain,
( ~ spl0_53
| spl0_11
| spl0_97 ),
inference(rat,[],[s3201,s2488,s2024,s2586,s3127,s3036,s2566,s2075,s2759,s3125,s3372,s739,s1587,s47,s869,s142,s143,s1232,s3375,s3374,s84,s2247,s3023,s3328,s2348,s849,s3357,s3368,s8,s3279]) ).
cnf(s3377,plain,
( ~ spl0_354
| ~ spl0_73
| spl0_69
| ~ spl0_67
| ~ spl0_5
| ~ spl0_15 ),
inference(rat,[],[s2207,s1592,s3077,s3345,s1727]) ).
cnf(s3378,plain,
( spl0_69
| ~ spl0_67
| ~ spl0_9
| ~ spl0_57
| spl0_53
| spl0_97 ),
inference(rat,[],[s3344,s3171,s3256,s1388,s3377,s3022,s1265,s1999,s84,s16,s91,s90,s3013,s2025,s849,s53,s451,s3179,s2099,s3357,s47,s601,s59,s566,s910,s3368,s3279]) ).
cnf(s3380,plain,
( ~ spl0_404
| ~ spl0_371
| spl0_72
| ~ spl0_57
| spl0_53
| ~ spl0_23 ),
inference(rat,[],[s1370,s1917,s2522,s3076,s3079,s3127,s2123,s2105,s1385,s2488,s3012,s2399,s2229,s2698,s3279]) ).
cnf(s3381,plain,
( ~ spl0_67
| ~ spl0_57
| spl0_11
| spl0_97 ),
inference(rat,[],[s3075,s2344,s1972,s1323,s2609,s3076,s1588,s2394,s2522,s3172,s1370,s3233,s1052,s1192,s1853,s22,s3127,s1882,s2162,s2814,s2066,s3036,s3380,s2395,s16,s609,s145,s2330,s144,s143,s3378,s2446,s1117,s1418,s3357,s141,s2698,s3376,s739,s1587,s47,s601,s59,s566,s910,s3368,s3279]) ).
cnf(s3382,plain,
( ~ spl0_57
| spl0_11
| spl0_97 ),
inference(rat,[],[s2025,s143,s3032,s2446,s91,s1011,s611,s700,s3381,s601,s739,s59,s1587,s566,s47,s910,s849,s3368,s2698,s3376,s3279]) ).
cnf(s3383,plain,
( spl0_11
| spl0_97 ),
inference(rat,[],[s1117,s617,s2446,s142,s143,s2025,s3032,s1232,s91,s145,s2709,s84,s573,s2247,s3382,s2698,s3376,s8,s849,s3368,s3279]) ).
cnf(s3384,plain,
( ~ spl0_53
| spl0_97 ),
inference(rat,[],[s1130,s1017,s3175,s2190,s2419,s3010,s1492,s1107,s1571,s1420,s3256,s1591,s390,s189,s1108,s1265,s2445,s2348,s141,s53,s1618,s3179,s1545,s3368,s1587,s47,s1408,s3383,s3357,s3279]) ).
cnf(s3385,plain,
( ~ spl0_67
| spl0_97 ),
inference(rat,[],[s2551,s2338,s2689,s2330,s155,s143,s76,s2025,s2216,s2446,s98,s3032,s1117,s2194,s1418,s849,s3357,s3179,s1545,s3383,s3368,s2698,s3384]) ).
cnf(s3386,plain,
spl0_97,
inference(rat,[],[s3072,s2016,s2075,s142,s2759,s617,s3125,s1117,s3372,s2446,s143,s1279,s145,s3240,s2709,s189,s573,s3354,s700,s3355,s223,s3385,s2698,s3384,s601,s59,s1587,s566,s47,s1408,s3383,s141,s3368,s3357,s849,s3279]) ).
cnf(s3388,plain,
( ~ spl0_398
| ~ spl0_57 ),
inference(rat,[],[s2229,s3012,s3036,s2123,s1760,s1202,s3279,s3386]) ).
cnf(s3389,plain,
( ~ spl0_57
| spl0_11
| ~ spl0_53 ),
inference(rat,[],[s2744,s2343,s1340,s155,s154,s2513,s2154,s617,s1216,s2813,s2831,s3076,s3388,s1203,s47,s1587,s739,s162,s156,s1531,s3328,s1202,s1475,s1614,s2895,s3279,s3386]) ).
cnf(s3391,plain,
( ~ spl0_110
| spl0_9
| ~ spl0_36
| ~ spl0_2
| ~ spl0_53 ),
inference(rat,[],[s426,s2524,s2650,s1448,s2187,s1844,s1475,s1614,s3386]) ).
cnf(s3392,plain,
( spl0_9
| ~ spl0_143
| ~ spl0_36
| spl0_48
| ~ spl0_13
| ~ spl0_53 ),
inference(rat,[],[s426,s2524,s2650,s1448,s1432,s2414,s438,s22,s3074,s935,s3391,s1475,s1614,s566,s59,s3279,s3386]) ).
cnf(s3393,plain,
( ~ spl0_250
| ~ spl0_67
| spl0_64
| spl0_57 ),
inference(rat,[],[s1603,s1373,s1323,s2975,s1642,s566,s59,s210,s1418,s894,s190,s1554,s3386,s3279]) ).
cnf(s3394,plain,
( ~ spl0_67
| ~ spl0_36
| spl0_64
| spl0_11
| ~ spl0_53 ),
inference(rat,[],[s1598,s2772,s1176,s1312,s22,s1610,s1603,s1384,s3074,s1323,s935,s1588,s2783,s3172,s3393,s3392,s2813,s1231,s1554,s1418,s1475,s1614,s8,s566,s59,s210,s3389,s3279,s3386]) ).
cnf(s3395,plain,
( ~ spl0_240
| ~ spl0_26
| spl0_231
| spl0_72
| ~ spl0_70
| spl0_64
| spl0_57 ),
inference(rat,[],[s2186,s1323,s3172,s2759,s2990,s1216,s2756,s1268,s156,s566,s59,s438,s210,s3279,s3386]) ).
cnf(s3396,plain,
( spl0_9
| spl0_72
| ~ spl0_36
| spl0_64
| spl0_11
| ~ spl0_53 ),
inference(rat,[],[s2524,s426,s1448,s2650,s1204,s3395,s22,s3074,s935,s3391,s2743,s1475,s1614,s8,s566,s59,s210,s3389,s223,s3394,s3386,s3279]) ).
cnf(s3397,plain,
( ~ spl0_110
| ~ spl0_36
| spl0_64
| spl0_57
| ~ spl0_53 ),
inference(rat,[],[s1603,s1373,s1323,s2975,s1642,s3172,s894,s2783,s926,s617,s1475,s1614,s566,s59,s210,s3386,s3279]) ).
cnf(s3398,plain,
( spl0_358
| ~ spl0_26
| ~ spl0_70
| ~ spl0_84 ),
inference(rat,[],[s1760,s3036,s3076,s1816,s1788,s3386]) ).
cnf(s3399,plain,
( spl0_72
| ~ spl0_36
| spl0_64
| spl0_11
| ~ spl0_53 ),
inference(rat,[],[s1978,s3036,s2226,s24,s607,s2650,s3395,s1605,s3396,s2230,s84,s3079,s1961,s1216,s3398,s22,s3074,s935,s3397,s8,s1475,s223,s3394,s156,s566,s59,s210,s3023,s3389,s3279,s3386]) ).
cnf(s3400,plain,
( ~ spl0_36
| spl0_64
| spl0_11
| ~ spl0_53 ),
inference(rat,[],[s2648,s2347,s1151,s3399,s1384,s1323,s2759,s1216,s3398,s22,s3074,s142,s935,s3397,s223,s3394,s1232,s8,s1475,s156,s566,s59,s210,s3389,s3279,s3386]) ).
cnf(s3401,plain,
( ~ spl0_277
| spl0_350
| spl0_270
| ~ spl0_276
| ~ spl0_214
| ~ spl0_160
| spl0_72
| spl0_36
| spl0_119
| ~ spl0_210 ),
inference(rat,[],[s2786,s53,s1880,s1387,s3080,s2349,s2265,s1598,s1596,s33,s3279,s3386]) ).
cnf(s3402,plain,
( ~ spl0_67
| spl0_72
| spl0_64
| spl0_11
| ~ spl0_53 ),
inference(rat,[],[s2621,s2784,s1423,s3401,s1176,s1312,s1603,s1384,s1323,s1588,s894,s1192,s3172,s190,s2813,s3393,s1554,s1418,s2895,s8,s162,s566,s59,s210,s3389,s3400,s3386,s3279]) ).
cnf(s3403,plain,
( ~ spl0_110
| spl0_67
| spl0_64
| spl0_11
| ~ spl0_53 ),
inference(rat,[],[s1603,s1373,s1323,s2975,s1642,s3172,s2782,s1448,s894,s1844,s926,s617,s1475,s1614,s8,s566,s59,s210,s3389,s3386,s3279]) ).
cnf(s3404,plain,
( spl0_72
| spl0_64
| spl0_11
| ~ spl0_53 ),
inference(rat,[],[s1978,s3036,s3079,s2229,s1961,s3012,s1216,s3398,s22,s3074,s935,s3403,s223,s3402,s2230,s1475,s8,s3023,s156,s566,s59,s210,s3389,s3279,s3386]) ).
cnf(s3405,plain,
( spl0_64
| spl0_11
| ~ spl0_53 ),
inference(rat,[],[s2648,s2347,s1151,s1384,s1323,s2759,s1216,s3398,s22,s3074,s142,s935,s223,s869,s1231,s3404,s566,s59,s210,s156,s1232,s8,s1475,s3389,s3279,s3386]) ).
cnf(s3407,plain,
( ~ spl0_358
| spl0_72
| spl0_11
| ~ spl0_53 ),
inference(rat,[],[s2597,s3205,s1216,s566,s59,s438,s22,s3074,s935,s617,s1117,s2230,s3023,s3389,s8,s1475,s700,s1554,s141,s3405,s3386,s3279]) ).
cnf(s3408,plain,
( ~ spl0_276
| ~ spl0_378
| spl0_358
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s1751,s3080,s1312,s1880,s1384]) ).
cnf(s3409,plain,
( spl0_72
| spl0_11
| ~ spl0_53 ),
inference(rat,[],[s1642,s2647,s1588,s3125,s3408,s2244,s3079,s1978,s3036,s1816,s3407,s22,s3074,s935,s566,s617,s59,s1117,s700,s2230,s1475,s8,s3023,s3389,s223,s1554,s141,s3405,s3386,s3279]) ).
cnf(s3410,plain,
( ~ spl0_358
| ~ spl0_2
| spl0_11
| ~ spl0_53 ),
inference(rat,[],[s2915,s3079,s1212,s1961,s3012,s1216,s8,s3023,s3389,s141,s3405,s3279]) ).
cnf(s3411,plain,
( ~ spl0_408
| ~ spl0_72
| spl0_57 ),
inference(rat,[],[s2237,s3012,s3076,s2075,s1760,s3279,s3386]) ).
cnf(s3412,plain,
( ~ spl0_2
| spl0_11
| ~ spl0_53 ),
inference(rat,[],[s22,s3074,s1816,s935,s3410,s869,s1475,s8,s223,s1554,s141,s3405,s3036,s3411,s3409,s3389,s3386]) ).
cnf(s3413,plain,
( ~ spl0_276
| spl0_69
| ~ spl0_9
| ~ spl0_72
| ~ spl0_68 ),
inference(rat,[],[s2315,s3174,s1553,s1151]) ).
cnf(s3414,plain,
( spl0_11
| ~ spl0_53 ),
inference(rat,[],[s2609,s840,s1990,s3172,s1642,s3125,s3413,s1206,s294,s64,s241,s220,s1507,s3070,s1613,s224,s22,s3197,s142,s926,s189,s739,s59,s1587,s566,s47,s3412,s3409,s223,s3106,s203,s2053,s1554,s141,s3405,s3389,s1232,s8,s1475,s3032,s1614,s3386,s3279]) ).
cnf(s3415,plain,
( ~ spl0_57
| ~ spl0_2
| ~ spl0_53 ),
inference(rat,[],[s2154,s2513,s1216,s154,s2831,s1340,s156,s3076,s2744,s910,s3388,s1475,s1614,s2895,s2445,s10,s2731,s1260,s3414,s3386]) ).
cnf(s3417,plain,
( spl0_378
| ~ spl0_55
| spl0_72 ),
inference(rat,[],[s1978,s3036,s3079,s2229,s1961,s3012,s2230,s3279]) ).
cnf(s3418,plain,
( ~ spl0_251
| spl0_48
| ~ spl0_378
| ~ spl0_328
| ~ spl0_2
| spl0_72 ),
inference(rat,[],[s1892,s56,s3080,s1772,s1880,s1603,s1323,s1588,s1192,s1216,s3279]) ).
cnf(s3419,plain,
( spl0_64
| spl0_57
| ~ spl0_328
| ~ spl0_2
| spl0_72
| ~ spl0_214 ),
inference(rat,[],[s1350,s1373,s1312,s1603,s1384,s1323,s1642,s3172,s3418,s210,s3417,s3023,s3386,s3279]) ).
cnf(s3420,plain,
( ~ spl0_2
| spl0_72
| ~ spl0_53 ),
inference(rat,[],[s3125,s2186,s1642,s2650,s3172,s426,s3418,s23,s700,s1447,s1554,s1545,s141,s3419,s3417,s3023,s3415,s935,s2731,s10,s1260,s1475,s2895,s894,s2445,s3414,s3386,s3279]) ).
cnf(s3421,plain,
( spl0_72
| ~ spl0_53 ),
inference(rat,[],[s426,s2524,s2650,s1428,s1432,s1873,s1486,s53,s33,s2831,s1451,s3365,s156,s141,s3076,s1554,s3388,s1531,s617,s700,s189,s699,s59,s1591,s1587,s566,s47,s3420,s1475,s1265,s2895,s2445,s3414,s3386,s3279]) ).
cnf(s3422,plain,
( ~ spl0_276
| ~ spl0_53 ),
inference(rat,[],[s1772,s1359,s3172,s1312,s720,s1603,s1384,s1231,s935,s2731,s1260,s47,s1587,s189,s1202,s3421,s2445,s3414,s3279,s3386]) ).
cnf(s3423,plain,
~ spl0_53,
inference(rat,[],[s1312,s2481,s1497,s1152,s3056,s1522,s1333,s1163,s1772,s2719,s1838,s1192,s3172,s1216,s1642,s2759,s3125,s3422,s935,s2709,s1231,s2731,s10,s1260,s47,s1587,s3036,s189,s3411,s1202,s3421,s2445,s3414,s3142,s1614,s1475,s3386,s3279]) ).
cnf(s3424,plain,
spl0_82,
inference(rat,[],[s2698,s3423]) ).
cnf(s3425,plain,
( ~ spl0_26
| ~ spl0_57
| spl0_72
| ~ spl0_2 ),
inference(rat,[],[s2171,s3036,s3075,s3172,s2229,s2296,s1588,s3012,s3125,s1216,s3053,s1788,s97,s3076,s3388,s156,s910,s3279]) ).
cnf(s3426,plain,
( ~ spl0_374
| spl0_382
| spl0_383
| ~ spl0_11 ),
inference(rat,[],[s2209,s1370,s1371]) ).
cnf(s3427,plain,
( spl0_374
| ~ spl0_11
| ~ spl0_397
| spl0_64 ),
inference(rat,[],[s1486,s1218,s1192,s2522,s2462,s3423]) ).
cnf(s3428,plain,
( ~ spl0_391
| ~ spl0_374
| ~ spl0_11
| ~ spl0_214 ),
inference(rat,[],[s3426,s1917,s1948,s3424]) ).
cnf(s3429,plain,
( ~ spl0_253
| spl0_69
| ~ spl0_57
| ~ spl0_73 ),
inference(rat,[],[s1727,s3077,s1386,s1733,s3386]) ).
cnf(s3430,plain,
( ~ spl0_57
| spl0_72
| ~ spl0_2 ),
inference(rat,[],[s1509,s2442,s2410,s3175,s3429,s390,s1787,s1192,s1216,s3179,s2395,s3012,s2041,s2399,s2229,s1370,s3036,s1405,s1978,s2105,s3079,s3428,s3427,s1205,s3137,s2709,s2731,s10,s1260,s3150,s22,s3425,s894,s156,s3076,s1203,s910,s3388,s84,s3279,s3423]) ).
cnf(s3431,plain,
( spl0_64
| spl0_72
| ~ spl0_2 ),
inference(rat,[],[s2493,s155,s1785,s3076,s1339,s1194,s1919,s3074,s3143,s22,s3398,s223,s935,s1554,s881,s926,s190,s2971,s162,s156,s2230,s1216,s2566,s3417,s3023,s8,s10,s16,s40,s2709,s573,s3430,s3386,s3424,s3279]) ).
cnf(s3432,plain,
( spl0_72
| ~ spl0_2 ),
inference(rat,[],[s1506,s1598,s3056,s1176,s1610,s1553,s1603,s1323,s1642,s3172,s3418,s935,s700,s617,s1554,s1117,s141,s3431,s8,s10,s2709,s3417,s2230,s573,s3023,s3430,s3424,s3279,s3386,s3423]) ).
cnf(s3433,plain,
~ spl0_2,
inference(rat,[],[s2759,s1216,s3125,s1816,s3413,s22,s142,s3032,s3074,s1232,s8,s91,s145,s10,s2709,s223,s935,s3036,s573,s1231,s869,s3411,s1202,s3432,s3279,s3424,s3386]) ).
cnf(s3435,plain,
spl0_5,
inference(rat,[],[s47,s3433]) ).
cnf(s3437,plain,
spl0_49,
inference(rat,[],[s566,s3279,s3433]) ).
cnf(s3438,plain,
spl0_4,
inference(rat,[],[s1587,s3279,s3435]) ).
cnf(s3439,plain,
spl0_48,
inference(rat,[],[s59,s3437]) ).
cnf(s3440,plain,
spl0_206,
inference(rat,[],[s601,s3439]) ).
cnf(s3441,plain,
( spl0_72
| spl0_11 ),
inference(rat,[],[s1163,s3056,s1827,s96,s3142,s1263,s1457,s16,s1924,s3172,s2197,s70,s1473,s156,s3113,s2975,s22,s141,s893,s3150,s1554,s926,s617,s700,s699,s8,s739,s3439,s3424,s3386,s3423,s3438]) ).
cnf(s3442,plain,
spl0_11,
inference(rat,[],[s1407,s2488,s1902,s1390,s3075,s1371,s3229,s2321,s1930,s2692,s3079,s155,s2511,s391,s1204,s3179,s1893,s402,s1991,s220,s3080,s3172,s2566,s410,s398,s3070,s1747,s1642,s2759,s73,s224,s833,s3125,s22,s3413,s223,s3106,s3197,s142,s1554,s926,s3032,s1232,s141,s3036,s189,s91,s145,s1169,s3411,s1202,s3441,s739,s8,s3279,s3424,s3439,s3423,s3386,s3438,s3433,s3440]) ).
cnf(s3443,plain,
( ~ spl0_231
| ~ spl0_57 ),
inference(rat,[],[s2420,s3077,s1509,s2207,s1002,s999,s3171,s1388,s3377,s53,s2937,s16,s1485,s390,s2438,s3175,s3290,s3429,s2395,s1534,s84,s3032,s919,s156,s2399,s3036,s2169,s617,s2105,s3079,s3428,s3427,s141,s1554,s700,s3076,s3388,s894,s926,s699,s1202,s3442,s3435,s3423,s3386,s3438,s3439,s3440]) ).
cnf(s3444,plain,
~ spl0_57,
inference(rat,[],[s16,s2937,s2414,s1473,s424,s22,s1591,s1222,s892,s1265,s1690,s1688,s3022,s3443,s141,s1554,s926,s617,s700,s699,s1202,s3424,s3435,s3386,s3439,s3438]) ).
cnf(s3446,plain,
~ spl0_19,
inference(rat,[],[s573,s3279,s3424,s3444]) ).
cnf(s3449,plain,
spl0_50,
inference(rat,[],[s189,s3438,s3444]) ).
cnf(s3450,plain,
spl0_64,
inference(rat,[],[s210,s3439,s3444]) ).
cnf(s3451,plain,
spl0_9,
inference(rat,[],[s2709,s3446]) ).
cnf(s3453,plain,
~ spl0_110,
inference(rat,[],[s926,s3386,s3449]) ).
cnf(s3455,plain,
~ spl0_151,
inference(rat,[],[s3240,s3423,s3450,s3442,s3449]) ).
cnf(s3460,plain,
spl0_72,
inference(rat,[],[s699,s3438,s3453]) ).
cnf(s3462,plain,
~ spl0_113,
inference(rat,[],[s609,s3451,s3438,s3453]) ).
cnf(s3464,plain,
spl0_286,
inference(rat,[],[s1279,s3455]) ).
cnf(s3477,plain,
~ spl0_408,
inference(rat,[],[s3411,s3444,s3460]) ).
cnf(s3478,plain,
~ spl0_76,
inference(rat,[],[s91,s3451,s3460]) ).
cnf(s3480,plain,
spl0_346,
inference(rat,[],[s3142,s3462]) ).
cnf(s3484,plain,
spl0_404,
inference(rat,[],[s3036,s3477]) ).
cnf(s3485,plain,
spl0_68,
inference(rat,[],[s3032,s3478]) ).
cnf(s3487,plain,
~ spl0_111,
inference(rat,[],[s2016,s3464,s3484]) ).
cnf(s3488,plain,
~ spl0_69,
inference(rat,[],[s142,s3453,s3487]) ).
cnf(s3490,plain,
~ spl0_276,
inference(rat,[],[s3413,s3485,s3460,s3451,s3488]) ).
cnf(s3492,plain,
spl0_348,
inference(rat,[],[s3125,s3490]) ).
cnf(s3494,plain,
spl0_270,
inference(rat,[],[s833,s3438,s3490]) ).
cnf(s3498,plain,
~ spl0_250,
inference(rat,[],[s1642,s3279,s3386,s3444,s3492]) ).
cnf(s3500,plain,
~ spl0_338,
inference(rat,[],[s1522,s3442,s3494]) ).
cnf(s3504,plain,
spl0_251,
inference(rat,[],[s3172,s3498]) ).
cnf(s3507,plain,
spl0_18,
inference(rat,[],[s1827,s3480,s3504,s3500]) ).
cnf(s3508,plain,
~ spl0_249,
inference(rat,[],[s2403,s3485,s3488,s3500]) ).
cnf(s3512,plain,
~ spl0_275,
inference(rat,[],[s1163,s3504,s3478,s3507]) ).
cnf(s3513,plain,
spl0_248,
inference(rat,[],[s3174,s3508]) ).
cnf(s3516,plain,
spl0_332,
inference(rat,[],[s3056,s3512]) ).
cnf(s3519,plain,
spl0_335,
inference(rat,[],[s1171,s3460,s3440,s3513]) ).
cnf(s3522,plain,
$false,
inference(rat,[],[s1497,s3442,s3519,s3516]) ).
thf(f25825,plain,
$false,
inference(avatar_sat_refutation,[],[s3522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA174^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n002.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 19:10:07 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.28 Running higher-order theorem proving
% 0.20/0.29 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
% 1.20/0.48 % (1720820)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.20/0.48 % (1720828)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=1807059994: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)
% 1.20/0.48 % (1720831)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.20/0.48 % (1720831)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
% 1.20/0.48 % (1720825)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=168385496:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.20/0.48 % (1720826)lrs+10_16_si=on:nwc=1.5:random_seed=3456337262:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.20/0.48 % (1720827)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=183824641:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.20/0.48 % (1720829)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1658275277:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.20/0.48 % (1720831)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=4058487852:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.20/0.48 % (1720830)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=201718969:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.20/0.48 % (1720827)Instruction limit reached!
% 1.20/0.48 % (1720827)------------------------------
% 1.20/0.48 % (1720827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.48 % (1720827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.48 % (1720827)CaDiCaL version: 2.1.3
% 1.20/0.48 % (1720827)Termination reason: Instruction limit
% 1.20/0.48 % (1720827)Termination phase: Saturation
% 1.20/0.48 % (1720827)Time elapsed: 0.004 s
% 1.20/0.48 % (1720827)Peak memory usage: 12 MB
% 1.20/0.48 % (1720827)Instructions burned: 4 (million)
% 1.20/0.48 % (1720826)Instruction limit reached!
% 1.20/0.48 % (1720826)------------------------------
% 1.20/0.48 % (1720826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.48 % (1720826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.48 % (1720826)CaDiCaL version: 2.1.3
% 1.20/0.48 % (1720826)Termination reason: Instruction limit
% 1.20/0.48 % (1720826)Termination phase: Saturation
% 1.20/0.48 % (1720826)Time elapsed: 0.015 s
% 1.20/0.48 % (1720826)Peak memory usage: 12 MB
% 1.20/0.48 % (1720826)Instructions burned: 18 (million)
% 1.20/0.48 % (1720829)Instruction limit reached!
% 1.20/0.48 % (1720829)------------------------------
% 1.20/0.48 % (1720829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.48 % (1720829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.48 % (1720829)CaDiCaL version: 2.1.3
% 1.20/0.48 % (1720829)Termination reason: Instruction limit
% 1.20/0.48 % (1720829)Termination phase: Saturation
% 1.20/0.48 % (1720829)Time elapsed: 0.019 s
% 1.20/0.48 % (1720829)Peak memory usage: 11 MB
% 1.20/0.48 % (1720829)Instructions burned: 24 (million)
% 1.20/0.48 % (1720839)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1172474055:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.20/0.48 % (1720841)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.20/0.48 % (1720839)Instruction limit reached!
% 1.20/0.48 % (1720839)------------------------------
% 1.20/0.48 % (1720839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.48 % (1720839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.48 % (1720839)CaDiCaL version: 2.1.3
% 1.20/0.48 % (1720839)Termination reason: Instruction limit
% 1.20/0.48 % (1720839)Termination phase: Saturation
% 1.20/0.48 % (1720839)Time elapsed: 0.003 s
% 1.20/0.48 % (1720839)Peak memory usage: 12 MB
% 1.20/0.48 % (1720839)Instructions burned: 2 (million)
% 1.20/0.51 % (1720841)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=894420428:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.20/0.51 % (1720840)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3597368124:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.20/0.51 % (1720841)Instruction limit reached!
% 1.20/0.51 % (1720841)------------------------------
% 1.20/0.51 % (1720841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.51 % (1720841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.51 % (1720841)CaDiCaL version: 2.1.3
% 1.20/0.51 % (1720841)Termination reason: Instruction limit
% 1.20/0.51 % (1720841)Termination phase: Saturation
% 1.20/0.51 % (1720841)Time elapsed: 0.006 s
% 1.20/0.51 % (1720841)Peak memory usage: 12 MB
% 1.20/0.51 % (1720841)Instructions burned: 8 (million)
% 1.20/0.51 % (1720840)Instruction limit reached!
% 1.20/0.51 % (1720840)------------------------------
% 1.20/0.51 % (1720840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.51 % (1720840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.51 % (1720840)CaDiCaL version: 2.1.3
% 1.20/0.51 % (1720840)Termination reason: Instruction limit
% 1.20/0.51 % (1720840)Termination phase: Saturation
% 1.20/0.51 % (1720840)Time elapsed: 0.006 s
% 1.20/0.51 % (1720840)Peak memory usage: 11 MB
% 1.20/0.51 % (1720840)Instructions burned: 6 (million)
% 1.20/0.51 % (1720825)Instruction limit reached!
% 1.20/0.51 % (1720825)------------------------------
% 1.20/0.51 % (1720825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.51 % (1720825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.51 % (1720825)CaDiCaL version: 2.1.3
% 1.20/0.51 % (1720825)Termination reason: Instruction limit
% 1.20/0.51 % (1720825)Termination phase: Saturation
% 1.20/0.51 % (1720825)Time elapsed: 0.060 s
% 1.20/0.51 % (1720825)Peak memory usage: 12 MB
% 1.20/0.51 % (1720825)Instructions burned: 87 (million)
% 1.20/0.51 % (1720830)Instruction limit reached!
% 1.20/0.51 % (1720830)------------------------------
% 1.20/0.51 % (1720830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.51 % (1720830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.51 % (1720830)CaDiCaL version: 2.1.3
% 1.20/0.51 % (1720830)Termination reason: Instruction limit
% 1.20/0.51 % (1720830)Termination phase: Saturation
% 1.20/0.51 % (1720830)Time elapsed: 0.062 s
% 1.20/0.51 % (1720830)Peak memory usage: 12 MB
% 1.20/0.51 % (1720830)Instructions burned: 75 (million)
% 1.20/0.51 % (1720846)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
% 1.20/0.51 % (1720846)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.20/0.51 % (1720846)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=344300464:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.20/0.51 % (1720843)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1431109195:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.20/0.51 % (1720847)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=990485383:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.20/0.51 % (1720848)lrs+10_1_si=on:cs=on:random_seed=685513884:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.20/0.51 % (1720843)Instruction limit reached!
% 1.20/0.51 % (1720843)------------------------------
% 1.20/0.51 % (1720843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.51 % (1720843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.51 % (1720843)CaDiCaL version: 2.1.3
% 1.20/0.51 % (1720843)Termination reason: Instruction limit
% 1.20/0.51 % (1720843)Termination phase: Saturation
% 1.20/0.51 % (1720843)Time elapsed: 0.012 s
% 1.20/0.51 % (1720843)Peak memory usage: 12 MB
% 1.20/0.51 % (1720843)Instructions burned: 12 (million)
% 1.20/0.51 % (1720848)Instruction limit reached!
% 1.20/0.55 % (1720848)------------------------------
% 1.20/0.55 % (1720848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.55 % (1720848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.55 % (1720848)CaDiCaL version: 2.1.3
% 1.20/0.55 % (1720848)Termination reason: Instruction limit
% 1.20/0.55 % (1720848)Termination phase: Saturation
% 1.20/0.55 % (1720848)Time elapsed: 0.005 s
% 1.20/0.55 % (1720848)Peak memory usage: 12 MB
% 1.20/0.55 % (1720848)Instructions burned: 9 (million)
% 1.20/0.55 % (1720849)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.20/0.55 % (1720846)Instruction limit reached!
% 1.20/0.55 % (1720846)------------------------------
% 1.20/0.55 % (1720846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.55 % (1720846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.55 % (1720846)CaDiCaL version: 2.1.3
% 1.20/0.55 % (1720846)Termination reason: Instruction limit
% 1.20/0.55 % (1720846)Termination phase: Saturation
% 1.20/0.55 % (1720846)Time elapsed: 0.025 s
% 1.20/0.55 % (1720846)Peak memory usage: 11 MB
% 1.20/0.55 % (1720846)Instructions burned: 28 (million)
% 1.20/0.55 % (1720849)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=4187228985:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.20/0.55 % (1720849)Instruction limit reached!
% 1.20/0.55 % (1720849)------------------------------
% 1.20/0.55 % (1720849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.55 % (1720849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.55 % (1720849)CaDiCaL version: 2.1.3
% 1.20/0.55 % (1720849)Termination reason: Instruction limit
% 1.20/0.55 % (1720849)Termination phase: Saturation
% 1.20/0.55 % (1720849)Time elapsed: 0.004 s
% 1.20/0.55 % (1720849)Peak memory usage: 11 MB
% 1.20/0.55 % (1720849)Instructions burned: 4 (million)
% 1.20/0.55 % (1720831)Instruction limit reached!
% 1.20/0.55 % (1720831)------------------------------
% 1.20/0.55 % (1720831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.55 % (1720831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.55 % (1720831)CaDiCaL version: 2.1.3
% 1.20/0.55 % (1720831)Termination reason: Instruction limit
% 1.20/0.55 % (1720831)Termination phase: Saturation
% 1.20/0.55 % (1720831)Time elapsed: 0.107 s
% 1.20/0.55 % (1720831)Peak memory usage: 12 MB
% 1.20/0.55 % (1720831)Instructions burned: 157 (million)
% 1.20/0.55 % (1720854)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=902189030:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.20/0.55 % (1720854)Refutation not found, incomplete strategy
% 1.20/0.55 % (1720854)------------------------------
% 1.20/0.55 % (1720854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.55 % (1720854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.55 % (1720854)CaDiCaL version: 2.1.3
% 1.20/0.55 % (1720854)Termination reason: Refutation not found, incomplete strategy
% 1.20/0.55 % (1720854)Time elapsed: 0.001 s
% 1.20/0.55 % (1720854)Peak memory usage: 11 MB
% 1.20/0.55 % (1720854)------------------------------
% 1.20/0.55 % (1720854)------------------------------
% 1.20/0.55 % (1720855)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2216159108:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.20/0.55 % (1720855)Refutation not found, incomplete strategy
% 1.20/0.55 % (1720855)------------------------------
% 1.20/0.55 % (1720855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.55 % (1720855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.55 % (1720855)CaDiCaL version: 2.1.3
% 1.20/0.55 % (1720855)Termination reason: Refutation not found, incomplete strategy
% 1.20/0.55 % (1720855)Time elapsed: 0.001 s
% 1.20/0.55 % (1720855)Peak memory usage: 11 MB
% 1.20/0.55 % (1720855)------------------------------
% 1.20/0.55 % (1720855)------------------------------
% 1.20/0.55 % (1720856)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3667688623:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.20/0.55 % (1720856)Refutation not found, incomplete strategy
% 1.91/0.60 % (1720856)------------------------------
% 1.91/0.60 % (1720856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.60 % (1720856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.60 % (1720856)CaDiCaL version: 2.1.3
% 1.91/0.60 % (1720856)Termination reason: Refutation not found, incomplete strategy
% 1.91/0.60 % (1720856)Time elapsed: 0.001 s
% 1.91/0.60 % (1720856)Peak memory usage: 11 MB
% 1.91/0.60 % (1720856)------------------------------
% 1.91/0.60 % (1720856)------------------------------
% 1.91/0.60 % (1720858)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4055862046:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.91/0.60 % (1720859)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=288276172:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.91/0.60 % (1720859)Refutation not found, incomplete strategy
% 1.91/0.60 % (1720859)------------------------------
% 1.91/0.60 % (1720859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.60 % (1720859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.60 % (1720859)CaDiCaL version: 2.1.3
% 1.91/0.60 % (1720859)Termination reason: Refutation not found, incomplete strategy
% 1.91/0.60 % (1720859)Time elapsed: 0.001 s
% 1.91/0.60 % (1720859)Peak memory usage: 11 MB
% 1.91/0.60 % (1720859)------------------------------
% 1.91/0.60 % (1720859)------------------------------
% 1.91/0.60 % (1720862)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4030041652:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.91/0.60 % (1720858)Instruction limit reached!
% 1.91/0.60 % (1720858)------------------------------
% 1.91/0.60 % (1720858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.60 % (1720858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.60 % (1720858)CaDiCaL version: 2.1.3
% 1.91/0.60 % (1720858)Termination reason: Instruction limit
% 1.91/0.60 % (1720858)Termination phase: Saturation
% 1.91/0.60 % (1720858)Time elapsed: 0.014 s
% 1.91/0.60 % (1720858)Peak memory usage: 12 MB
% 1.91/0.60 % (1720858)Instructions burned: 14 (million)
% 1.91/0.60 % (1720847)Instruction limit reached!
% 1.91/0.60 % (1720847)------------------------------
% 1.91/0.60 % (1720847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.60 % (1720847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.60 % (1720847)CaDiCaL version: 2.1.3
% 1.91/0.60 % (1720847)Termination reason: Instruction limit
% 1.91/0.60 % (1720847)Termination phase: Saturation
% 1.91/0.60 % (1720847)Time elapsed: 0.069 s
% 1.91/0.60 % (1720847)Peak memory usage: 12 MB
% 1.91/0.60 % (1720847)Instructions burned: 87 (million)
% 1.91/0.60 % (1720862)Instruction limit reached!
% 1.91/0.60 % (1720862)------------------------------
% 1.91/0.60 % (1720862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.60 % (1720862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.60 % (1720862)CaDiCaL version: 2.1.3
% 1.91/0.60 % (1720862)Termination reason: Instruction limit
% 1.91/0.60 % (1720862)Termination phase: Saturation
% 1.91/0.60 % (1720862)Time elapsed: 0.011 s
% 1.91/0.60 % (1720862)Peak memory usage: 12 MB
% 1.91/0.60 % (1720862)Instructions burned: 14 (million)
% 1.91/0.60 % (1720863)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=399232052: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)
% 1.91/0.60 % (1720863)Refutation not found, incomplete strategy
% 1.91/0.60 % (1720863)------------------------------
% 1.91/0.60 % (1720863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.60 % (1720863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.60 % (1720863)CaDiCaL version: 2.1.3
% 1.91/0.60 % (1720863)Termination reason: Refutation not found, incomplete strategy
% 1.91/0.60 % (1720863)Time elapsed: 0.001 s
% 1.91/0.60 % (1720863)Peak memory usage: 11 MB
% 1.91/0.60 % (1720863)------------------------------
% 1.91/0.60 % (1720863)------------------------------
% 1.91/0.60 % (1720865)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3186653025:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.91/0.63 % (1720868)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3335077066:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.91/0.63 % (1720870)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=676400972:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.91/0.63 % (1720871)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
% 1.91/0.63 % (1720871)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.91/0.63 % (1720871)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=539846664:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.91/0.63 % (1720873)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.91/0.63 % (1720828)Instruction limit reached!
% 1.91/0.63 % (1720828)------------------------------
% 1.91/0.63 % (1720828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.63 % (1720828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.63 % (1720828)CaDiCaL version: 2.1.3
% 1.91/0.63 % (1720828)Termination reason: Instruction limit
% 1.91/0.63 % (1720828)Termination phase: Saturation
% 1.91/0.63 % (1720828)Time elapsed: 0.199 s
% 1.91/0.63 % (1720828)Peak memory usage: 13 MB
% 1.91/0.63 % (1720828)Instructions burned: 636 (million)
% 1.91/0.63 % (1720865)Instruction limit reached!
% 1.91/0.63 % (1720865)------------------------------
% 1.91/0.63 % (1720865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.63 % (1720865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.63 % (1720865)CaDiCaL version: 2.1.3
% 1.91/0.63 % (1720865)Termination reason: Instruction limit
% 1.91/0.63 % (1720865)Termination phase: Saturation
% 1.91/0.63 % (1720865)Time elapsed: 0.022 s
% 1.91/0.63 % (1720865)Peak memory usage: 12 MB
% 1.91/0.63 % (1720865)Instructions burned: 26 (million)
% 1.91/0.63 % (1720873)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=2499751713:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.91/0.63 % (1720874)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=2004868076:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.91/0.63 % (1720868)Instruction limit reached!
% 1.91/0.63 % (1720868)------------------------------
% 1.91/0.63 % (1720868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.63 % (1720868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.63 % (1720868)CaDiCaL version: 2.1.3
% 1.91/0.63 % (1720868)Termination reason: Instruction limit
% 1.91/0.63 % (1720868)Termination phase: Saturation
% 1.91/0.63 % (1720868)Time elapsed: 0.020 s
% 1.91/0.63 % (1720868)Peak memory usage: 11 MB
% 1.91/0.63 % (1720868)Instructions burned: 28 (million)
% 1.91/0.63 % (1720873)Instruction limit reached!
% 1.91/0.63 % (1720873)------------------------------
% 1.91/0.63 % (1720873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.63 % (1720873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.63 % (1720873)CaDiCaL version: 2.1.3
% 1.91/0.63 % (1720873)Termination reason: Instruction limit
% 1.91/0.63 % (1720873)Termination phase: Saturation
% 1.91/0.63 % (1720873)Time elapsed: 0.009 s
% 1.91/0.63 % (1720873)Peak memory usage: 12 MB
% 1.91/0.63 % (1720873)Instructions burned: 9 (million)
% 1.91/0.63 % (1720871)Instruction limit reached!
% 1.91/0.63 % (1720871)------------------------------
% 1.91/0.63 % (1720871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.63 % (1720871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.63 % (1720871)CaDiCaL version: 2.1.3
% 1.91/0.63 % (1720871)Termination reason: Instruction limit
% 1.91/0.63 % (1720871)Termination phase: Saturation
% 1.91/0.63 % (1720871)Time elapsed: 0.017 s
% 1.91/0.63 % (1720871)Peak memory usage: 12 MB
% 2.37/0.72 % (1720871)Instructions burned: 18 (million)
% 2.37/0.72 % (1720870)Instruction limit reached!
% 2.37/0.72 % (1720870)------------------------------
% 2.37/0.72 % (1720870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.72 % (1720870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.72 % (1720870)CaDiCaL version: 2.1.3
% 2.37/0.72 % (1720870)Termination reason: Instruction limit
% 2.37/0.72 % (1720870)Termination phase: Saturation
% 2.37/0.72 % (1720870)Time elapsed: 0.025 s
% 2.37/0.72 % (1720870)Peak memory usage: 12 MB
% 2.37/0.72 % (1720870)Instructions burned: 60 (million)
% 2.37/0.72 % (1720879)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1028768861:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.37/0.72 % (1720880)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2885864187:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.37/0.72 % (1720874)Instruction limit reached!
% 2.37/0.72 % (1720874)------------------------------
% 2.37/0.72 % (1720874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.72 % (1720874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.72 % (1720874)CaDiCaL version: 2.1.3
% 2.37/0.72 % (1720874)Termination reason: Instruction limit
% 2.37/0.72 % (1720874)Termination phase: Saturation
% 2.37/0.72 % (1720874)Time elapsed: 0.028 s
% 2.37/0.72 % (1720874)Peak memory usage: 12 MB
% 2.37/0.72 % (1720874)Instructions burned: 32 (million)
% 2.37/0.72 % (1720886)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=440247265:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.37/0.72 % (1720886)Refutation not found, incomplete strategy
% 2.37/0.72 % (1720886)------------------------------
% 2.37/0.72 % (1720886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.72 % (1720886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.72 % (1720886)CaDiCaL version: 2.1.3
% 2.37/0.72 % (1720886)Termination reason: Refutation not found, incomplete strategy
% 2.37/0.72 % (1720886)Time elapsed: 0.0000 s
% 2.37/0.72 % (1720886)Peak memory usage: 11 MB
% 2.37/0.72 % (1720886)------------------------------
% 2.37/0.72 % (1720886)------------------------------
% 2.37/0.72 % (1720879)Instruction limit reached!
% 2.37/0.72 % (1720879)------------------------------
% 2.37/0.72 % (1720879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.72 % (1720879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.72 % (1720879)CaDiCaL version: 2.1.3
% 2.37/0.72 % (1720879)Termination reason: Instruction limit
% 2.37/0.72 % (1720879)Termination phase: Saturation
% 2.37/0.72 % (1720879)Time elapsed: 0.008 s
% 2.37/0.72 % (1720879)Peak memory usage: 12 MB
% 2.37/0.72 % (1720879)Instructions burned: 8 (million)
% 2.37/0.72 % (1720883)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3734102791:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.37/0.72 % (1720884)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1581842925:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.37/0.72 % (1720885)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3755650621:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.37/0.72 % (1720880)Instruction limit reached!
% 2.37/0.72 % (1720880)------------------------------
% 2.37/0.72 % (1720880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.72 % (1720880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.72 % (1720880)CaDiCaL version: 2.1.3
% 2.37/0.72 % (1720880)Termination reason: Instruction limit
% 2.37/0.72 % (1720880)Termination phase: Saturation
% 2.37/0.72 % (1720880)Time elapsed: 0.019 s
% 2.37/0.72 % (1720880)Peak memory usage: 11 MB
% 2.37/0.72 % (1720880)Instructions burned: 23 (million)
% 2.37/0.72 % (1720892)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2802903763:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.37/0.72 % (1720883)Instruction limit reached!
% 2.37/0.72 % (1720883)------------------------------
% 2.37/0.72 % (1720883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.72 % (1720883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.80 % (1720883)CaDiCaL version: 2.1.3
% 2.37/0.80 % (1720883)Termination reason: Instruction limit
% 2.37/0.80 % (1720883)Termination phase: Saturation
% 2.37/0.80 % (1720883)Time elapsed: 0.019 s
% 2.37/0.80 % (1720883)Peak memory usage: 12 MB
% 2.37/0.80 % (1720883)Instructions burned: 21 (million)
% 2.37/0.80 % (1720892)Refutation not found, incomplete strategy
% 2.37/0.80 % (1720892)------------------------------
% 2.37/0.80 % (1720892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.80 % (1720892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.80 % (1720892)CaDiCaL version: 2.1.3
% 2.37/0.80 % (1720892)Termination reason: Refutation not found, incomplete strategy
% 2.37/0.80 % (1720892)Time elapsed: 0.001 s
% 2.37/0.80 % (1720892)Peak memory usage: 11 MB
% 2.37/0.80 % (1720892)------------------------------
% 2.37/0.80 % (1720892)------------------------------
% 2.37/0.80 % (1720890)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2115735716:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.37/0.80 % (1720891)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.37/0.80 % (1720891)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3818610462:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.37/0.80 % (1720891)Instruction limit reached!
% 2.37/0.80 % (1720891)------------------------------
% 2.37/0.80 % (1720891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.80 % (1720891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.80 % (1720891)CaDiCaL version: 2.1.3
% 2.37/0.80 % (1720891)Termination reason: Instruction limit
% 2.37/0.80 % (1720891)Termination phase: Saturation
% 2.37/0.80 % (1720891)Time elapsed: 0.007 s
% 2.37/0.80 % (1720891)Peak memory usage: 12 MB
% 2.37/0.80 % (1720891)Instructions burned: 7 (million)
% 2.37/0.80 % (1720899)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3608886927:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.37/0.80 % (1720896)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=197679045: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)
% 2.37/0.80 % (1720896)Refutation not found, incomplete strategy
% 2.37/0.80 % (1720896)------------------------------
% 2.37/0.80 % (1720896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.80 % (1720896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.80 % (1720896)CaDiCaL version: 2.1.3
% 2.37/0.80 % (1720896)Termination reason: Refutation not found, incomplete strategy
% 2.37/0.80 % (1720896)Time elapsed: 0.001 s
% 2.37/0.80 % (1720896)Peak memory usage: 11 MB
% 2.37/0.80 % (1720896)------------------------------
% 2.37/0.80 % (1720896)------------------------------
% 2.37/0.80 % (1720898)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.37/0.80 % (1720899)Instruction limit reached!
% 2.37/0.80 % (1720899)------------------------------
% 2.37/0.80 % (1720899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.80 % (1720899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.80 % (1720899)CaDiCaL version: 2.1.3
% 2.37/0.80 % (1720899)Termination reason: Instruction limit
% 2.37/0.80 % (1720899)Termination phase: Saturation
% 2.37/0.80 % (1720899)Time elapsed: 0.010 s
% 2.37/0.80 % (1720899)Peak memory usage: 12 MB
% 2.37/0.80 % (1720899)Instructions burned: 24 (million)
% 2.37/0.80 % (1720898)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2662716583:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.37/0.80 % (1720898)Refutation not found, incomplete strategy
% 2.37/0.80 % (1720898)------------------------------
% 2.37/0.80 % (1720898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.80 % (1720898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.80 % (1720898)CaDiCaL version: 2.1.3
% 2.37/0.80 % (1720898)Termination reason: Refutation not found, incomplete strategy
% 2.72/0.87 % (1720898)Time elapsed: 0.002 s
% 2.72/0.87 % (1720898)Peak memory usage: 11 MB
% 2.72/0.87 % (1720898)Instructions burned: 1 (million)
% 2.72/0.87 % (1720898)------------------------------
% 2.72/0.87 % (1720898)------------------------------
% 2.72/0.87 % (1720890)Instruction limit reached!
% 2.72/0.87 % (1720890)------------------------------
% 2.72/0.87 % (1720890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.87 % (1720890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.87 % (1720890)CaDiCaL version: 2.1.3
% 2.72/0.87 % (1720890)Termination reason: Instruction limit
% 2.72/0.87 % (1720890)Termination phase: Saturation
% 2.72/0.87 % (1720890)Time elapsed: 0.032 s
% 2.72/0.87 % (1720890)Peak memory usage: 12 MB
% 2.72/0.87 % (1720890)Instructions burned: 42 (million)
% 2.72/0.87 % (1720903)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3468936719:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.72/0.87 % (1720903)Refutation not found, incomplete strategy
% 2.72/0.87 % (1720903)------------------------------
% 2.72/0.87 % (1720903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.87 % (1720903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.87 % (1720903)CaDiCaL version: 2.1.3
% 2.72/0.87 % (1720903)Termination reason: Refutation not found, incomplete strategy
% 2.72/0.87 % (1720903)Time elapsed: 0.013 s
% 2.72/0.87 % (1720903)Peak memory usage: 12 MB
% 2.72/0.87 % (1720903)Instructions burned: 2 (million)
% 2.72/0.87 % (1720885)Instruction limit reached!
% 2.72/0.87 % (1720885)------------------------------
% 2.72/0.87 % (1720885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.87 % (1720885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.87 % (1720885)CaDiCaL version: 2.1.3
% 2.72/0.87 % (1720885)Termination reason: Instruction limit
% 2.72/0.87 % (1720885)Termination phase: Saturation
% 2.72/0.87 % (1720885)Time elapsed: 0.103 s
% 2.72/0.87 % (1720885)Peak memory usage: 12 MB
% 2.72/0.87 % (1720885)Instructions burned: 144 (million)
% 2.72/0.87 % (1720903)------------------------------
% 2.72/0.87 % (1720903)------------------------------
% 2.72/0.87 % (1720905)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=732730113:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.72/0.87 % (1720909)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1113277698:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.72/0.87 % (1720906)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=991132331: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)
% 2.72/0.87 % (1720908)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=1366586442: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)
% 2.72/0.87 % (1720909)Refutation not found, incomplete strategy
% 2.72/0.87 % (1720909)------------------------------
% 2.72/0.87 % (1720909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.87 % (1720909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.87 % (1720909)CaDiCaL version: 2.1.3
% 2.72/0.87 % (1720909)Termination reason: Refutation not found, incomplete strategy
% 2.72/0.87 % (1720909)Time elapsed: 0.002 s
% 2.72/0.87 % (1720909)Peak memory usage: 11 MB
% 2.72/0.87 % (1720909)Instructions burned: 1 (million)
% 2.72/0.87 % (1720909)------------------------------
% 2.72/0.87 % (1720909)------------------------------
% 2.72/0.87 % (1720912)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.72/0.87 % (1720912)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1680220937:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.72/0.87 % (1720911)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=747304740: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)
% 3.08/0.93 % (1720917)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3879462763:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.08/0.93 % (1720911)Instruction limit reached!
% 3.08/0.93 % (1720911)------------------------------
% 3.08/0.93 % (1720911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.93 % (1720911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.93 % (1720911)CaDiCaL version: 2.1.3
% 3.08/0.93 % (1720911)Termination reason: Instruction limit
% 3.08/0.93 % (1720911)Termination phase: Saturation
% 3.08/0.93 % (1720911)Time elapsed: 0.020 s
% 3.08/0.93 % (1720911)Peak memory usage: 12 MB
% 3.08/0.93 % (1720911)Instructions burned: 22 (million)
% 3.08/0.93 % (1720908)Instruction limit reached!
% 3.08/0.93 % (1720908)------------------------------
% 3.08/0.93 % (1720908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.93 % (1720908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.93 % (1720908)CaDiCaL version: 2.1.3
% 3.08/0.93 % (1720908)Termination reason: Instruction limit
% 3.08/0.93 % (1720908)Termination phase: Saturation
% 3.08/0.93 % (1720908)Time elapsed: 0.040 s
% 3.08/0.93 % (1720908)Peak memory usage: 12 MB
% 3.08/0.93 % (1720908)Instructions burned: 46 (million)
% 3.08/0.93 % (1720917)Instruction limit reached!
% 3.08/0.93 % (1720917)------------------------------
% 3.08/0.93 % (1720917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.93 % (1720917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.93 % (1720917)CaDiCaL version: 2.1.3
% 3.08/0.93 % (1720917)Termination reason: Instruction limit
% 3.08/0.93 % (1720917)Termination phase: Saturation
% 3.08/0.93 % (1720917)Time elapsed: 0.013 s
% 3.08/0.93 % (1720917)Peak memory usage: 12 MB
% 3.08/0.93 % (1720917)Instructions burned: 13 (million)
% 3.08/0.93 % (1720923)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3123506344:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.08/0.93 % (1720921)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=707663551:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.08/0.93 % (1720922)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3462724904:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.08/0.93 % (1720922)Refutation not found, incomplete strategy
% 3.08/0.93 % (1720922)------------------------------
% 3.08/0.93 % (1720922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.93 % (1720922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.93 % (1720922)CaDiCaL version: 2.1.3
% 3.08/0.93 % (1720922)Termination reason: Refutation not found, incomplete strategy
% 3.08/0.93 % (1720922)Time elapsed: 0.002 s
% 3.08/0.93 % (1720922)Peak memory usage: 11 MB
% 3.08/0.93 % (1720922)Instructions burned: 1 (million)
% 3.08/0.93 % (1720922)------------------------------
% 3.08/0.93 % (1720922)------------------------------
% 3.08/0.93 % (1720912)Instruction limit reached!
% 3.08/0.93 % (1720912)------------------------------
% 3.08/0.93 % (1720912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.93 % (1720912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.93 % (1720912)CaDiCaL version: 2.1.3
% 3.08/0.93 % (1720912)Termination reason: Instruction limit
% 3.08/0.93 % (1720912)Termination phase: Saturation
% 3.08/0.93 % (1720912)Time elapsed: 0.075 s
% 3.08/0.93 % (1720912)Peak memory usage: 12 MB
% 3.08/0.93 % (1720912)Instructions burned: 210 (million)
% 3.08/0.93 % (1720923)Instruction limit reached!
% 3.08/0.93 % (1720923)------------------------------
% 3.08/0.93 % (1720923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.93 % (1720923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.93 % (1720923)CaDiCaL version: 2.1.3
% 3.08/0.93 % (1720923)Termination reason: Instruction limit
% 3.08/0.93 % (1720923)Termination phase: Saturation
% 3.08/0.93 % (1720923)Time elapsed: 0.021 s
% 3.08/0.93 % (1720923)Peak memory usage: 12 MB
% 3.08/0.93 % (1720923)Instructions burned: 33 (million)
% 3.08/0.93 % (1720928)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=4088580590:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 4.88/1.04 % (1720927)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3576525230:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 4.88/1.04 % (1720929)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=621517327:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 4.88/1.04 % (1720929)Refutation not found, incomplete strategy
% 4.88/1.04 % (1720929)------------------------------
% 4.88/1.04 % (1720929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.04 % (1720929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.04 % (1720929)CaDiCaL version: 2.1.3
% 4.88/1.04 % (1720929)Termination reason: Refutation not found, incomplete strategy
% 4.88/1.04 % (1720929)Time elapsed: 0.002 s
% 4.88/1.04 % (1720929)Peak memory usage: 12 MB
% 4.88/1.04 % (1720929)Instructions burned: 1 (million)
% 4.88/1.04 % (1720929)------------------------------
% 4.88/1.04 % (1720929)------------------------------
% 4.88/1.04 % (1720928)Instruction limit reached!
% 4.88/1.04 % (1720928)------------------------------
% 4.88/1.04 % (1720928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.04 % (1720928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.04 % (1720928)CaDiCaL version: 2.1.3
% 4.88/1.04 % (1720928)Termination reason: Instruction limit
% 4.88/1.04 % (1720928)Termination phase: Saturation
% 4.88/1.04 % (1720928)Time elapsed: 0.018 s
% 4.88/1.04 % (1720928)Peak memory usage: 12 MB
% 4.88/1.04 % (1720928)Instructions burned: 39 (million)
% 4.88/1.04 % (1720921)Instruction limit reached!
% 4.88/1.04 % (1720921)------------------------------
% 4.88/1.04 % (1720921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.04 % (1720921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.04 % (1720921)CaDiCaL version: 2.1.3
% 4.88/1.04 % (1720921)Termination reason: Instruction limit
% 4.88/1.04 % (1720921)Termination phase: Saturation
% 4.88/1.04 % (1720921)Time elapsed: 0.052 s
% 4.88/1.04 % (1720921)Peak memory usage: 12 MB
% 4.88/1.04 % (1720921)Instructions burned: 66 (million)
% 4.88/1.04 % (1720933)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.88/1.04 % (1720933)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3779120169:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 4.88/1.04 % (1720934)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=419943588:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 4.88/1.04 % (1720934)Refutation not found, incomplete strategy
% 4.88/1.04 % (1720934)------------------------------
% 4.88/1.04 % (1720934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.04 % (1720934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.04 % (1720934)CaDiCaL version: 2.1.3
% 4.88/1.04 % (1720934)Termination reason: Refutation not found, incomplete strategy
% 4.88/1.04 % (1720934)Time elapsed: 0.0000 s
% 4.88/1.04 % (1720934)Peak memory usage: 11 MB
% 4.88/1.04 % (1720934)------------------------------
% 4.88/1.04 % (1720934)------------------------------
% 4.88/1.04 % (1720938)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3462198854:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 4.88/1.04 % (1720935)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1197192011:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 4.88/1.04 % (1720938)Refutation not found, incomplete strategy
% 4.88/1.04 % (1720938)------------------------------
% 4.88/1.04 % (1720938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.04 % (1720938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.04 % (1720938)CaDiCaL version: 2.1.3
% 4.88/1.04 % (1720938)Termination reason: Refutation not found, incomplete strategy
% 4.88/1.04 % (1720938)Time elapsed: 0.0000 s
% 4.88/1.04 % (1720938)Peak memory usage: 11 MB
% 4.88/1.04 % (1720938)------------------------------
% 4.88/1.04 % (1720938)------------------------------
% 4.88/1.04 % (1720941)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4153992725:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 4.88/1.11 % (1720941)Refutation not found, incomplete strategy
% 4.88/1.11 % (1720941)------------------------------
% 4.88/1.11 % (1720941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.11 % (1720941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.11 % (1720941)CaDiCaL version: 2.1.3
% 4.88/1.11 % (1720941)Termination reason: Refutation not found, incomplete strategy
% 4.88/1.11 % (1720941)Time elapsed: 0.0000 s
% 4.88/1.11 % (1720941)Peak memory usage: 11 MB
% 4.88/1.11 % (1720941)------------------------------
% 4.88/1.11 % (1720941)------------------------------
% 4.88/1.11 % (1720943)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3353463333:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 4.88/1.11 % (1720943)Refutation not found, incomplete strategy
% 4.88/1.11 % (1720943)------------------------------
% 4.88/1.11 % (1720943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.11 % (1720943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.11 % (1720943)CaDiCaL version: 2.1.3
% 4.88/1.11 % (1720943)Termination reason: Refutation not found, incomplete strategy
% 4.88/1.11 % (1720943)Time elapsed: 0.0000 s
% 4.88/1.11 % (1720943)Peak memory usage: 12 MB
% 4.88/1.11 % (1720943)------------------------------
% 4.88/1.11 % (1720943)------------------------------
% 4.88/1.11 % (1720927)Instruction limit reached!
% 4.88/1.11 % (1720927)------------------------------
% 4.88/1.11 % (1720927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.11 % (1720927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.11 % (1720927)CaDiCaL version: 2.1.3
% 4.88/1.11 % (1720927)Termination reason: Instruction limit
% 4.88/1.11 % (1720927)Termination phase: Saturation
% 4.88/1.11 % (1720927)Time elapsed: 0.087 s
% 4.88/1.11 % (1720927)Peak memory usage: 12 MB
% 4.88/1.11 % (1720927)Instructions burned: 138 (million)
% 4.88/1.11 % (1720945)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1246610259:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 4.88/1.11 % (1720945)Refutation not found, incomplete strategy
% 4.88/1.11 % (1720945)------------------------------
% 4.88/1.11 % (1720945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.11 % (1720945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.11 % (1720945)CaDiCaL version: 2.1.3
% 4.88/1.11 % (1720945)Termination reason: Refutation not found, incomplete strategy
% 4.88/1.11 % (1720945)Time elapsed: 0.001 s
% 4.88/1.11 % (1720945)Peak memory usage: 11 MB
% 4.88/1.11 % (1720945)Instructions burned: 1 (million)
% 4.88/1.11 % (1720945)------------------------------
% 4.88/1.11 % (1720945)------------------------------
% 4.88/1.11 % (1720933)Instruction limit reached!
% 4.88/1.11 % (1720933)------------------------------
% 4.88/1.11 % (1720933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.11 % (1720933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.11 % (1720933)CaDiCaL version: 2.1.3
% 4.88/1.11 % (1720933)Termination reason: Instruction limit
% 4.88/1.11 % (1720933)Termination phase: Saturation
% 4.88/1.11 % (1720933)Time elapsed: 0.084 s
% 4.88/1.11 % (1720933)Peak memory usage: 12 MB
% 4.88/1.11 % (1720933)Instructions burned: 182 (million)
% 4.88/1.11 % (1720948)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=361721274:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 4.88/1.11 % (1720948)Refutation not found, incomplete strategy
% 4.88/1.11 % (1720948)------------------------------
% 4.88/1.11 % (1720948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.11 % (1720948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.11 % (1720948)CaDiCaL version: 2.1.3
% 4.88/1.11 % (1720948)Termination reason: Refutation not found, incomplete strategy
% 4.88/1.11 % (1720948)Time elapsed: 0.001 s
% 4.88/1.11 % (1720948)Peak memory usage: 12 MB
% 4.88/1.11 % (1720948)Instructions burned: 1 (million)
% 4.88/1.11 % (1720948)------------------------------
% 4.88/1.11 % (1720948)------------------------------
% 4.88/1.11 % (1720946)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=366138117:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 5.36/1.18 % (1720935)Instruction limit reached!
% 5.36/1.18 % (1720935)------------------------------
% 5.36/1.18 % (1720935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.18 % (1720935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.18 % (1720935)CaDiCaL version: 2.1.3
% 5.36/1.18 % (1720935)Termination reason: Instruction limit
% 5.36/1.18 % (1720935)Termination phase: Saturation
% 5.36/1.18 % (1720935)Time elapsed: 0.077 s
% 5.36/1.18 % (1720935)Peak memory usage: 12 MB
% 5.36/1.18 % (1720935)Instructions burned: 96 (million)
% 5.36/1.18 % (1720949)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=30612475:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 5.36/1.18 % (1720905)Instruction limit reached!
% 5.36/1.18 % (1720905)------------------------------
% 5.36/1.18 % (1720905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.18 % (1720905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.18 % (1720905)CaDiCaL version: 2.1.3
% 5.36/1.18 % (1720905)Termination reason: Instruction limit
% 5.36/1.18 % (1720905)Termination phase: Saturation
% 5.36/1.18 % (1720905)Time elapsed: 0.251 s
% 5.36/1.18 % (1720905)Peak memory usage: 13 MB
% 5.36/1.18 % (1720905)Instructions burned: 317 (million)
% 5.36/1.18 % (1720953)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=1287339325:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.36/1.18 % (1720952)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3922305051:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.36/1.18 % (1720946)Instruction limit reached!
% 5.36/1.18 % (1720946)------------------------------
% 5.36/1.18 % (1720946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.18 % (1720946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.18 % (1720946)CaDiCaL version: 2.1.3
% 5.36/1.18 % (1720946)Termination reason: Instruction limit
% 5.36/1.18 % (1720946)Termination phase: Saturation
% 5.36/1.18 % (1720946)Time elapsed: 0.037 s
% 5.36/1.18 % (1720946)Peak memory usage: 12 MB
% 5.36/1.18 % (1720946)Instructions burned: 44 (million)
% 5.36/1.18 % (1720955)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=1779964365: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)
% 5.36/1.18 % (1720958)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=423609108: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)
% 5.36/1.18 % (1720958)Refutation not found, incomplete strategy
% 5.36/1.18 % (1720958)------------------------------
% 5.36/1.18 % (1720958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.18 % (1720958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.18 % (1720958)CaDiCaL version: 2.1.3
% 5.36/1.18 % (1720958)Termination reason: Refutation not found, incomplete strategy
% 5.36/1.18 % (1720958)Time elapsed: 0.001 s
% 5.36/1.18 % (1720958)Peak memory usage: 12 MB
% 5.36/1.18 % (1720958)------------------------------
% 5.36/1.18 % (1720958)------------------------------
% 5.36/1.18 % (1720953)Instruction limit reached!
% 5.36/1.18 % (1720953)------------------------------
% 5.36/1.18 % (1720953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.18 % (1720953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.18 % (1720953)CaDiCaL version: 2.1.3
% 5.36/1.18 % (1720953)Termination reason: Instruction limit
% 5.36/1.18 % (1720953)Termination phase: Saturation
% 5.36/1.18 % (1720953)Time elapsed: 0.048 s
% 5.36/1.18 % (1720953)Peak memory usage: 12 MB
% 5.36/1.18 % (1720953)Instructions burned: 66 (million)
% 5.36/1.18 % (1720961)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=844353965:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/375Mi)
% 5.36/1.18 % (1720961)Refutation not found, incomplete strategy
% 5.95/1.38 % (1720961)------------------------------
% 5.95/1.38 % (1720961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.95/1.38 % (1720961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.38 % (1720961)CaDiCaL version: 2.1.3
% 5.95/1.38 % (1720961)Termination reason: Refutation not found, incomplete strategy
% 5.95/1.38 % (1720961)Time elapsed: 0.001 s
% 5.95/1.38 % (1720961)Peak memory usage: 11 MB
% 5.95/1.38 % (1720961)------------------------------
% 5.95/1.38 % (1720961)------------------------------
% 5.95/1.38 % (1720952)Instruction limit reached!
% 5.95/1.38 % (1720952)------------------------------
% 5.95/1.38 % (1720952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.95/1.38 % (1720952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.38 % (1720952)CaDiCaL version: 2.1.3
% 5.95/1.38 % (1720952)Termination reason: Instruction limit
% 5.95/1.38 % (1720952)Termination phase: Saturation
% 5.95/1.38 % (1720952)Time elapsed: 0.076 s
% 5.95/1.38 % (1720952)Peak memory usage: 12 MB
% 5.95/1.38 % (1720952)Instructions burned: 97 (million)
% 5.95/1.38 % (1720962)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2626740559:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/495Mi)
% 5.95/1.38 % (1720964)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=4185720954:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 5.95/1.38 % (1720955)Instruction limit reached!
% 5.95/1.38 % (1720955)------------------------------
% 5.95/1.38 % (1720955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.95/1.38 % (1720955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.38 % (1720955)CaDiCaL version: 2.1.3
% 5.95/1.38 % (1720955)Termination reason: Instruction limit
% 5.95/1.38 % (1720955)Termination phase: Saturation
% 5.95/1.38 % (1720955)Time elapsed: 0.088 s
% 5.95/1.38 % (1720955)Peak memory usage: 12 MB
% 5.95/1.38 % (1720955)Instructions burned: 105 (million)
% 5.95/1.38 % (1720965)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1973409276:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 5.95/1.38 % (1720964)Instruction limit reached!
% 5.95/1.38 % (1720964)------------------------------
% 5.95/1.38 % (1720964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.95/1.38 % (1720964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.38 % (1720964)CaDiCaL version: 2.1.3
% 5.95/1.38 % (1720964)Termination reason: Instruction limit
% 5.95/1.38 % (1720964)Termination phase: Saturation
% 5.95/1.38 % (1720964)Time elapsed: 0.019 s
% 5.95/1.38 % (1720964)Peak memory usage: 12 MB
% 5.95/1.38 % (1720964)Instructions burned: 34 (million)
% 5.95/1.38 % (1720949)Instruction limit reached!
% 5.95/1.38 % (1720949)------------------------------
% 5.95/1.38 % (1720949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.95/1.38 % (1720949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.38 % (1720949)CaDiCaL version: 2.1.3
% 5.95/1.38 % (1720949)Termination reason: Instruction limit
% 5.95/1.38 % (1720949)Termination phase: Saturation
% 5.95/1.38 % (1720949)Time elapsed: 0.149 s
% 5.95/1.38 % (1720949)Peak memory usage: 12 MB
% 5.95/1.38 % (1720949)Instructions burned: 451 (million)
% 5.95/1.38 % (1720968)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1406462334: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)
% 5.95/1.38 % (1720970)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1371195694:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 5.95/1.38 % (1720968)Refutation not found, incomplete strategy
% 5.95/1.38 % (1720968)------------------------------
% 5.95/1.38 % (1720968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.95/1.38 % (1720968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.38 % (1720968)CaDiCaL version: 2.1.3
% 5.95/1.38 % (1720968)Termination reason: Refutation not found, incomplete strategy
% 5.95/1.38 % (1720968)Time elapsed: 0.001 s
% 5.95/1.38 % (1720968)Peak memory usage: 11 MB
% 5.95/1.38 % (1720968)------------------------------
% 5.95/1.38 % (1720968)------------------------------
% 5.95/1.38 % (1720970)Instruction limit reached!
% 6.49/1.45 % (1720970)------------------------------
% 6.49/1.45 % (1720970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.45 % (1720970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.45 % (1720970)CaDiCaL version: 2.1.3
% 6.49/1.45 % (1720970)Termination reason: Instruction limit
% 6.49/1.45 % (1720970)Termination phase: Saturation
% 6.49/1.45 % (1720970)Time elapsed: 0.011 s
% 6.49/1.45 % (1720970)Peak memory usage: 12 MB
% 6.49/1.45 % (1720970)Instructions burned: 23 (million)
% 6.49/1.45 % (1720974)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2797304284:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 6.49/1.45 % (1720974)Refutation not found, incomplete strategy
% 6.49/1.45 % (1720974)------------------------------
% 6.49/1.45 % (1720974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.45 % (1720974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.45 % (1720974)CaDiCaL version: 2.1.3
% 6.49/1.45 % (1720974)Termination reason: Refutation not found, incomplete strategy
% 6.49/1.45 % (1720974)Time elapsed: 0.0000 s
% 6.49/1.45 % (1720974)Peak memory usage: 11 MB
% 6.49/1.45 % (1720974)------------------------------
% 6.49/1.45 % (1720974)------------------------------
% 6.49/1.45 % (1720971)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=3343637605:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 6.49/1.45 % (1720975)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.49/1.45 % (1720975)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=4281792064:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/137Mi)
% 6.49/1.45 % (1720965)Instruction limit reached!
% 6.49/1.45 % (1720965)------------------------------
% 6.49/1.45 % (1720965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.45 % (1720965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.45 % (1720965)CaDiCaL version: 2.1.3
% 6.49/1.45 % (1720965)Termination reason: Instruction limit
% 6.49/1.45 % (1720965)Termination phase: Saturation
% 6.49/1.45 % (1720965)Time elapsed: 0.065 s
% 6.49/1.45 % (1720965)Peak memory usage: 12 MB
% 6.49/1.45 % (1720965)Instructions burned: 92 (million)
% 6.49/1.45 % (1720978)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=1927193936:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 6.49/1.45 % (1720980)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1816406924:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 6.49/1.45 % (1720980)Refutation not found, incomplete strategy
% 6.49/1.45 % (1720980)------------------------------
% 6.49/1.45 % (1720980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.45 % (1720980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.45 % (1720980)CaDiCaL version: 2.1.3
% 6.49/1.45 % (1720980)Termination reason: Refutation not found, incomplete strategy
% 6.49/1.45 % (1720980)Time elapsed: 0.001 s
% 6.49/1.45 % (1720980)Peak memory usage: 11 MB
% 6.49/1.45 % (1720980)------------------------------
% 6.49/1.45 % (1720980)------------------------------
% 6.49/1.45 % (1720983)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.49/1.45 % (1720983)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3679639566:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 6.49/1.45 % (1720975)Instruction limit reached!
% 6.49/1.45 % (1720975)------------------------------
% 6.49/1.45 % (1720975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.45 % (1720975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.45 % (1720975)CaDiCaL version: 2.1.3
% 6.49/1.45 % (1720975)Termination reason: Instruction limit
% 6.49/1.45 % (1720975)Termination phase: Saturation
% 6.49/1.45 % (1720975)Time elapsed: 0.051 s
% 6.49/1.45 % (1720975)Peak memory usage: 12 MB
% 6.49/1.49 % (1720975)Instructions burned: 141 (million)
% 6.49/1.49 % (1720906)Instruction limit reached!
% 6.49/1.49 % (1720906)------------------------------
% 6.49/1.49 % (1720906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.49 % (1720906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.49 % (1720906)CaDiCaL version: 2.1.3
% 6.49/1.49 % (1720906)Termination reason: Instruction limit
% 6.49/1.49 % (1720906)Termination phase: Saturation
% 6.49/1.49 % (1720906)Time elapsed: 0.517 s
% 6.49/1.49 % (1720906)Peak memory usage: 13 MB
% 6.49/1.49 % (1720906)Instructions burned: 854 (million)
% 6.49/1.49 % (1720985)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3172700781:i=116:ep=RSTC:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/116Mi)
% 6.49/1.49 % (1720986)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=4266056611:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 6.49/1.49 % (1720986)Refutation not found, incomplete strategy
% 6.49/1.49 % (1720986)------------------------------
% 6.49/1.49 % (1720986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.50 % (1720986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.50 % (1720986)CaDiCaL version: 2.1.3
% 6.49/1.50 % (1720986)Termination reason: Refutation not found, incomplete strategy
% 6.49/1.50 % (1720986)Time elapsed: 0.001 s
% 6.49/1.50 % (1720986)Peak memory usage: 11 MB
% 6.49/1.50 % (1720986)Instructions burned: 1 (million)
% 6.49/1.50 % (1720986)------------------------------
% 6.49/1.50 % (1720986)------------------------------
% 6.49/1.50 % (1720989)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1503631125:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2990 on theBenchmark for (2990ds/270Mi)
% 6.49/1.50 % (1720985)Instruction limit reached!
% 6.49/1.50 % (1720985)------------------------------
% 6.49/1.50 % (1720985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.50 % (1720985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.50 % (1720985)CaDiCaL version: 2.1.3
% 6.49/1.50 % (1720985)Termination reason: Instruction limit
% 6.49/1.50 % (1720985)Termination phase: Saturation
% 6.49/1.50 % (1720985)Time elapsed: 0.081 s
% 6.49/1.50 % (1720985)Peak memory usage: 12 MB
% 6.49/1.50 % (1720985)Instructions burned: 117 (million)
% 6.49/1.50 % (1720991)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=4006036278: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)
% 6.49/1.50 % (1720989)Instruction limit reached!
% 6.49/1.50 % (1720989)------------------------------
% 6.49/1.50 % (1720989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.50 % (1720989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.50 % (1720989)CaDiCaL version: 2.1.3
% 6.49/1.50 % (1720989)Termination reason: Instruction limit
% 6.49/1.50 % (1720989)Termination phase: Saturation
% 6.49/1.50 % (1720989)Time elapsed: 0.111 s
% 6.49/1.50 % (1720989)Peak memory usage: 12 MB
% 6.49/1.50 % (1720989)Instructions burned: 272 (million)
% 6.49/1.50 % (1720884)Instruction limit reached!
% 6.49/1.50 % (1720884)------------------------------
% 6.49/1.50 % (1720884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.50 % (1720884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.50 % (1720884)CaDiCaL version: 2.1.3
% 6.49/1.50 % (1720884)Termination reason: Instruction limit
% 6.49/1.50 % (1720884)Termination phase: Saturation
% 6.49/1.50 % (1720884)Time elapsed: 0.788 s
% 6.49/1.50 % (1720884)Peak memory usage: 13 MB
% 6.49/1.50 % (1720884)Instructions burned: 1241 (million)
% 6.49/1.50 % (1720971)Instruction limit reached!
% 6.49/1.50 % (1720971)------------------------------
% 6.49/1.50 % (1720971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.50 % (1720971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.50 % (1720971)CaDiCaL version: 2.1.3
% 6.49/1.50 % (1720971)Termination reason: Instruction limit
% 6.49/1.50 % (1720971)Termination phase: Saturation
% 6.49/1.50 % (1720971)Time elapsed: 0.257 s
% 6.49/1.50 % (1720971)Peak memory usage: 14 MB
% 7.79/1.54 % (1720971)Instructions burned: 339 (million)
% 7.79/1.54 % (1720994)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
% 7.79/1.54 % (1720994)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=162344278:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/270Mi)
% 7.79/1.54 % (1720993)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2568278391:i=421:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/421Mi)
% 7.79/1.54 % (1720993)Refutation not found, incomplete strategy
% 7.79/1.54 % (1720993)------------------------------
% 7.79/1.54 % (1720993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.54 % (1720993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.54 % (1720993)CaDiCaL version: 2.1.3
% 7.79/1.54 % (1720993)Termination reason: Refutation not found, incomplete strategy
% 7.79/1.54 % (1720993)Time elapsed: 0.001 s
% 7.79/1.54 % (1720993)Peak memory usage: 11 MB
% 7.79/1.54 % (1720993)------------------------------
% 7.79/1.54 % (1720993)------------------------------
% 7.79/1.54 % (1720995)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2724978929:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 7.79/1.54 % (1720962)Instruction limit reached!
% 7.79/1.54 % (1720962)------------------------------
% 7.79/1.54 % (1720962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.54 % (1720962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.54 % (1720962)CaDiCaL version: 2.1.3
% 7.79/1.54 % (1720962)Termination reason: Instruction limit
% 7.79/1.54 % (1720962)Termination phase: Saturation
% 7.79/1.54 % (1720962)Time elapsed: 0.366 s
% 7.79/1.54 % (1720962)Peak memory usage: 13 MB
% 7.79/1.54 % (1720962)Instructions burned: 495 (million)
% 7.79/1.54 % (1720998)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.79/1.54 % (1720998)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
% 7.79/1.54 % (1720978)Instruction limit reached!
% 7.79/1.54 % (1720978)------------------------------
% 7.79/1.54 % (1720978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.54 % (1720978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.54 % (1720978)CaDiCaL version: 2.1.3
% 7.79/1.54 % (1720978)Termination reason: Instruction limit
% 7.79/1.54 % (1720978)Termination phase: Saturation
% 7.79/1.54 % (1720978)Time elapsed: 0.267 s
% 7.79/1.54 % (1720978)Peak memory usage: 13 MB
% 7.79/1.54 % (1720978)Instructions burned: 341 (million)
% 7.79/1.54 % (1720998)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=2326325175:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 7.79/1.54 % (1720995)Instruction limit reached!
% 7.79/1.54 % (1720995)------------------------------
% 7.79/1.54 % (1720995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.54 % (1720995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.54 % (1720995)CaDiCaL version: 2.1.3
% 7.79/1.54 % (1720995)Termination reason: Instruction limit
% 7.79/1.54 % (1720995)Termination phase: Saturation
% 7.79/1.54 % (1720995)Time elapsed: 0.027 s
% 7.79/1.54 % (1720995)Peak memory usage: 12 MB
% 7.79/1.54 % (1720995)Instructions burned: 31 (million)
% 7.79/1.54 % (1721000)dis+10_2_sil=128000:si=on:random_seed=2899013871:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2988 on theBenchmark for (2988ds/339Mi)
% 7.79/1.54 % (1721000)Refutation not found, incomplete strategy
% 7.79/1.54 % (1721000)------------------------------
% 7.79/1.54 % (1721000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.54 % (1721000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.54 % (1721000)CaDiCaL version: 2.1.3
% 7.79/1.54 % (1721000)Termination reason: Refutation not found, incomplete strategy
% 7.79/1.54 % (1721000)Time elapsed: 0.001 s
% 8.08/1.68 % (1721000)Peak memory usage: 11 MB
% 8.08/1.68 % (1721000)------------------------------
% 8.08/1.68 % (1721000)------------------------------
% 8.08/1.68 % (1721001)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1879093723:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 8.08/1.68 % (1720983)Instruction limit reached!
% 8.08/1.68 % (1720983)------------------------------
% 8.08/1.68 % (1720983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.68 % (1720983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.68 % (1720983)CaDiCaL version: 2.1.3
% 8.08/1.68 % (1720983)Termination reason: Instruction limit
% 8.08/1.68 % (1720983)Termination phase: Saturation
% 8.08/1.68 % (1720983)Time elapsed: 0.281 s
% 8.08/1.68 % (1720983)Peak memory usage: 12 MB
% 8.08/1.68 % (1720983)Instructions burned: 373 (million)
% 8.08/1.68 % (1721005)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=2746454284:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/136Mi)
% 8.08/1.68 % (1721005)Refutation not found, incomplete strategy
% 8.08/1.68 % (1721005)------------------------------
% 8.08/1.68 % (1721005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.68 % (1721003)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=4181314841: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)
% 8.08/1.68 % (1721005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.68 % (1721005)CaDiCaL version: 2.1.3
% 8.08/1.68 % (1721005)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.68 % (1721005)Time elapsed: 0.001 s
% 8.08/1.68 % (1721005)Peak memory usage: 12 MB
% 8.08/1.68 % (1721005)Instructions burned: 1 (million)
% 8.08/1.68 % (1721005)------------------------------
% 8.08/1.68 % (1721005)------------------------------
% 8.08/1.68 % (1721003)Refutation not found, incomplete strategy
% 8.08/1.68 % (1721003)------------------------------
% 8.08/1.68 % (1721003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.68 % (1721003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.68 % (1721003)CaDiCaL version: 2.1.3
% 8.08/1.68 % (1721003)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.68 % (1721003)Time elapsed: 0.001 s
% 8.08/1.68 % (1721003)Peak memory usage: 11 MB
% 8.08/1.68 % (1721003)------------------------------
% 8.08/1.68 % (1721003)------------------------------
% 8.08/1.68 % (1720994)Instruction limit reached!
% 8.08/1.68 % (1720994)------------------------------
% 8.08/1.68 % (1720994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.68 % (1720994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.68 % (1720994)CaDiCaL version: 2.1.3
% 8.08/1.68 % (1720994)Termination reason: Instruction limit
% 8.08/1.68 % (1720994)Termination phase: Saturation
% 8.08/1.68 % (1720994)Time elapsed: 0.089 s
% 8.08/1.68 % (1720994)Peak memory usage: 12 MB
% 8.08/1.68 % (1720994)Instructions burned: 270 (million)
% 8.08/1.68 % (1721011)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 8.08/1.68 % (1721007)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=76823847:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/232Mi)
% 8.08/1.68 % (1721011)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=2284019690:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2988 on theBenchmark for (2988ds/281Mi)
% 8.08/1.68 % (1721007)Refutation not found, incomplete strategy
% 8.08/1.68 % (1721007)------------------------------
% 8.08/1.68 % (1721007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.68 % (1721007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.68 % (1721007)CaDiCaL version: 2.1.3
% 8.08/1.68 % (1721007)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.68 % (1721007)Time elapsed: 0.001 s
% 8.08/1.68 % (1721007)Peak memory usage: 11 MB
% 8.08/1.68 % (1721007)------------------------------
% 8.08/1.68 % (1721007)------------------------------
% 8.82/1.82 % (1721012)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4251483150:i=619:add=on:rtra=on_2988 on theBenchmark for (2988ds/619Mi)
% 8.82/1.82 % (1721012)Refutation not found, incomplete strategy
% 8.82/1.82 % (1721012)------------------------------
% 8.82/1.82 % (1721012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.82/1.82 % (1721012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.82/1.82 % (1721012)CaDiCaL version: 2.1.3
% 8.82/1.82 % (1721012)Termination reason: Refutation not found, incomplete strategy
% 8.82/1.82 % (1721012)Time elapsed: 0.001 s
% 8.82/1.82 % (1721012)Peak memory usage: 12 MB
% 8.82/1.82 % (1721012)Instructions burned: 2 (million)
% 8.82/1.82 % (1721012)------------------------------
% 8.82/1.82 % (1721012)------------------------------
% 8.82/1.82 % (1721010)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=1022831186:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2988 on theBenchmark for (2988ds/1254Mi)
% 8.82/1.82 % (1721010)Refutation not found, incomplete strategy
% 8.82/1.82 % (1721010)------------------------------
% 8.82/1.82 % (1721010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.82/1.82 % (1721010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.82/1.82 % (1721010)CaDiCaL version: 2.1.3
% 8.82/1.82 % (1721010)Termination reason: Refutation not found, incomplete strategy
% 8.82/1.82 % (1721010)Time elapsed: 0.003 s
% 8.82/1.82 % (1721010)Peak memory usage: 11 MB
% 8.82/1.82 % (1721010)Instructions burned: 2 (million)
% 8.82/1.82 % (1721010)------------------------------
% 8.82/1.82 % (1721010)------------------------------
% 8.82/1.82 % (1721017)lrs+10_1_sil=128000:si=on:urr=on:random_seed=996364060:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/212Mi)
% 8.82/1.82 % (1721017)Refutation not found, incomplete strategy
% 8.82/1.82 % (1721017)------------------------------
% 8.82/1.82 % (1721017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.82/1.82 % (1721017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.82/1.82 % (1721017)CaDiCaL version: 2.1.3
% 8.82/1.82 % (1721017)Termination reason: Refutation not found, incomplete strategy
% 8.82/1.82 % (1721017)Time elapsed: 0.0000 s
% 8.82/1.82 % (1721017)Peak memory usage: 11 MB
% 8.82/1.82 % (1721017)------------------------------
% 8.82/1.82 % (1721017)------------------------------
% 8.82/1.82 % (1721016)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=1823725959:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/865Mi)
% 8.82/1.82 % (1721021)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3650657673:st=1.5:i=346:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/346Mi)
% 8.82/1.82 % (1721021)Refutation not found, incomplete strategy
% 8.82/1.82 % (1721021)------------------------------
% 8.82/1.82 % (1721021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.82/1.82 % (1721021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.82/1.82 % (1721021)CaDiCaL version: 2.1.3
% 8.82/1.82 % (1721021)Termination reason: Refutation not found, incomplete strategy
% 8.82/1.82 % (1721021)Time elapsed: 0.001 s
% 8.82/1.82 % (1721021)Peak memory usage: 11 MB
% 8.82/1.82 % (1721021)Instructions burned: 1 (million)
% 8.82/1.82 % (1721021)------------------------------
% 8.82/1.82 % (1721021)------------------------------
% 8.82/1.82 % (1721019)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1968501878:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 8.82/1.82 % (1721019)Refutation not found, incomplete strategy
% 8.82/1.82 % (1721019)------------------------------
% 8.82/1.82 % (1721019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.82/1.82 % (1721019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.82/1.82 % (1721019)CaDiCaL version: 2.1.3
% 8.82/1.82 % (1721019)Termination reason: Refutation not found, incomplete strategy
% 8.82/1.82 % (1721019)Time elapsed: 0.001 s
% 8.82/1.82 % (1721019)Peak memory usage: 11 MB
% 8.82/1.82 % (1721019)------------------------------
% 8.82/1.82 % (1721019)------------------------------
% 8.82/1.82 % (1721001)Instruction limit reached!
% 8.82/1.82 % (1721001)------------------------------
% 12.61/2.18 % (1721001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.18 % (1721001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.18 % (1721001)CaDiCaL version: 2.1.3
% 12.61/2.18 % (1721001)Termination reason: Instruction limit
% 12.61/2.18 % (1721001)Termination phase: Saturation
% 12.61/2.18 % (1721001)Time elapsed: 0.088 s
% 12.61/2.18 % (1721001)Peak memory usage: 12 MB
% 12.61/2.18 % (1721001)Instructions burned: 112 (million)
% 12.61/2.18 % (1721026)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1896715156:i=75:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/75Mi)
% 12.61/2.18 % (1721024)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=939089353:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 12.61/2.18 % (1721027)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1089089750:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/387Mi)
% 12.61/2.18 % (1721027)Refutation not found, incomplete strategy
% 12.61/2.18 % (1721027)------------------------------
% 12.61/2.18 % (1721027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.18 % (1721027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.18 % (1721027)CaDiCaL version: 2.1.3
% 12.61/2.18 % (1721027)Termination reason: Refutation not found, incomplete strategy
% 12.61/2.18 % (1721027)Time elapsed: 0.002 s
% 12.61/2.18 % (1721027)Peak memory usage: 11 MB
% 12.61/2.18 % (1721027)Instructions burned: 1 (million)
% 12.61/2.18 % (1721027)------------------------------
% 12.61/2.18 % (1721027)------------------------------
% 12.61/2.18 % (1721026)Instruction limit reached!
% 12.61/2.18 % (1721026)------------------------------
% 12.61/2.18 % (1721026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.18 % (1721026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.18 % (1721026)CaDiCaL version: 2.1.3
% 12.61/2.18 % (1721026)Termination reason: Instruction limit
% 12.61/2.18 % (1721026)Termination phase: Saturation
% 12.61/2.18 % (1721026)Time elapsed: 0.029 s
% 12.61/2.18 % (1721026)Peak memory usage: 12 MB
% 12.61/2.18 % (1721026)Instructions burned: 75 (million)
% 12.61/2.18 % (1721032)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1534018688:i=161:piset=and:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/161Mi)
% 12.61/2.18 % (1721031)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=4288866102:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2987 on theBenchmark for (2987ds/148Mi)
% 12.61/2.18 % (1721011)Instruction limit reached!
% 12.61/2.18 % (1721011)------------------------------
% 12.61/2.18 % (1721011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.18 % (1721011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.18 % (1721011)CaDiCaL version: 2.1.3
% 12.61/2.18 % (1721011)Termination reason: Instruction limit
% 12.61/2.18 % (1721011)Termination phase: Saturation
% 12.61/2.18 % (1721011)Time elapsed: 0.162 s
% 12.61/2.18 % (1721011)Peak memory usage: 13 MB
% 12.61/2.18 % (1721011)Instructions burned: 281 (million)
% 12.61/2.18 % (1721032)Instruction limit reached!
% 12.61/2.18 % (1721032)------------------------------
% 12.61/2.18 % (1721032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.18 % (1721032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.18 % (1721032)CaDiCaL version: 2.1.3
% 12.61/2.18 % (1721032)Termination reason: Instruction limit
% 12.61/2.18 % (1721032)Termination phase: Saturation
% 12.61/2.18 % (1721032)Time elapsed: 0.050 s
% 12.61/2.18 % (1721032)Peak memory usage: 12 MB
% 12.61/2.18 % (1721032)Instructions burned: 163 (million)
% 12.61/2.18 % (1721036)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=3994507074:i=136:add=on:ins=4:rtra=on:sup=off_2986 on theBenchmark for (2986ds/136Mi)
% 12.61/2.18 % (1721035)lrs+10_1_sil=128000:si=on:random_seed=1914785114:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/888Mi)
% 12.61/2.18 % (1721035)Refutation not found, incomplete strategy
% 12.61/2.18 % (1721035)------------------------------
% 12.61/2.18 % (1721035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.18 % (1721035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.40 % (1721035)CaDiCaL version: 2.1.3
% 13.78/2.40 % (1721035)Termination reason: Refutation not found, incomplete strategy
% 13.78/2.40 % (1721035)Time elapsed: 0.001 s
% 13.78/2.40 % (1721035)Peak memory usage: 11 MB
% 13.78/2.40 % (1721035)------------------------------
% 13.78/2.40 % (1721035)------------------------------
% 13.78/2.40 % (1721024)Instruction limit reached!
% 13.78/2.40 % (1721024)------------------------------
% 13.78/2.40 % (1721024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.40 % (1721024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.40 % (1721024)CaDiCaL version: 2.1.3
% 13.78/2.40 % (1721024)Termination reason: Instruction limit
% 13.78/2.40 % (1721024)Termination phase: Saturation
% 13.78/2.40 % (1721024)Time elapsed: 0.125 s
% 13.78/2.40 % (1721024)Peak memory usage: 12 MB
% 13.78/2.40 % (1721024)Instructions burned: 152 (million)
% 13.78/2.40 % (1721039)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=3890870447:i=88:s2at=3:nm=2:rtra=on:rawr=on_2986 on theBenchmark for (2986ds/88Mi)
% 13.78/2.40 % (1721040)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=4275121254:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2986 on theBenchmark for (2986ds/93Mi)
% 13.78/2.40 % (1721031)Instruction limit reached!
% 13.78/2.40 % (1721031)------------------------------
% 13.78/2.40 % (1721031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.40 % (1721031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.40 % (1721031)CaDiCaL version: 2.1.3
% 13.78/2.40 % (1721031)Termination reason: Instruction limit
% 13.78/2.40 % (1721031)Termination phase: Saturation
% 13.78/2.40 % (1721031)Time elapsed: 0.116 s
% 13.78/2.40 % (1721031)Peak memory usage: 12 MB
% 13.78/2.40 % (1721031)Instructions burned: 148 (million)
% 13.78/2.40 % (1721039)Instruction limit reached!
% 13.78/2.40 % (1721039)------------------------------
% 13.78/2.40 % (1721039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.40 % (1721039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.40 % (1721039)CaDiCaL version: 2.1.3
% 13.78/2.40 % (1721039)Termination reason: Instruction limit
% 13.78/2.40 % (1721039)Termination phase: Saturation
% 13.78/2.40 % (1721039)Time elapsed: 0.036 s
% 13.78/2.40 % (1721039)Peak memory usage: 13 MB
% 13.78/2.40 % (1721039)Instructions burned: 90 (million)
% 13.78/2.40 % (1721044)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=354139616:s2a=on:i=240:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/240Mi)
% 13.78/2.40 % (1721043)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3568686019:i=2186:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/2186Mi)
% 13.78/2.40 % (1721036)Instruction limit reached!
% 13.78/2.40 % (1721036)------------------------------
% 13.78/2.40 % (1721036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.40 % (1721036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.40 % (1721036)CaDiCaL version: 2.1.3
% 13.78/2.40 % (1721036)Termination reason: Instruction limit
% 13.78/2.40 % (1721036)Termination phase: Saturation
% 13.78/2.40 % (1721036)Time elapsed: 0.084 s
% 13.78/2.40 % (1721036)Peak memory usage: 12 MB
% 13.78/2.40 % (1721036)Instructions burned: 136 (million)
% 13.78/2.40 % (1721047)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=43115539:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/805Mi)
% 13.78/2.40 % (1721040)Instruction limit reached!
% 13.78/2.40 % (1721040)------------------------------
% 13.78/2.40 % (1721040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.40 % (1721040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.40 % (1721040)CaDiCaL version: 2.1.3
% 13.78/2.40 % (1721040)Termination reason: Instruction limit
% 13.78/2.40 % (1721040)Termination phase: Saturation
% 13.78/2.40 % (1721040)Time elapsed: 0.078 s
% 13.78/2.40 % (1721040)Peak memory usage: 12 MB
% 13.78/2.40 % (1721040)Instructions burned: 94 (million)
% 13.78/2.40 % (1721049)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 13.78/2.40 % (1721049)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=4215897838:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2984 on theBenchmark for (2984ds/391Mi)
% 15.03/2.55 % (1721049)Refutation not found, incomplete strategy
% 15.03/2.55 % (1721049)------------------------------
% 15.03/2.55 % (1721049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.55 % (1721049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.55 % (1721049)CaDiCaL version: 2.1.3
% 15.03/2.55 % (1721049)Termination reason: Refutation not found, incomplete strategy
% 15.03/2.55 % (1721049)Time elapsed: 0.001 s
% 15.03/2.55 % (1721049)Peak memory usage: 11 MB
% 15.03/2.55 % (1721049)Instructions burned: 1 (million)
% 15.03/2.55 % (1721049)------------------------------
% 15.03/2.55 % (1721049)------------------------------
% 15.03/2.55 % (1721044)Instruction limit reached!
% 15.03/2.55 % (1721044)------------------------------
% 15.03/2.55 % (1721044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.55 % (1721044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.55 % (1721044)CaDiCaL version: 2.1.3
% 15.03/2.55 % (1721044)Termination reason: Instruction limit
% 15.03/2.55 % (1721044)Termination phase: Saturation
% 15.03/2.55 % (1721044)Time elapsed: 0.084 s
% 15.03/2.55 % (1721044)Peak memory usage: 12 MB
% 15.03/2.55 % (1721044)Instructions burned: 240 (million)
% 15.03/2.55 % (1721051)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2002768995:i=355:av=off:fsr=off:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/355Mi)
% 15.03/2.55 % (1721052)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1908116320:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/314Mi)
% 15.03/2.55 % (1721052)Refutation not found, incomplete strategy
% 15.03/2.55 % (1721052)------------------------------
% 15.03/2.55 % (1721052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.55 % (1721052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.55 % (1721052)CaDiCaL version: 2.1.3
% 15.03/2.55 % (1721052)Termination reason: Refutation not found, incomplete strategy
% 15.03/2.55 % (1721052)Time elapsed: 0.001 s
% 15.03/2.55 % (1721052)Peak memory usage: 11 MB
% 15.03/2.55 % (1721052)------------------------------
% 15.03/2.55 % (1721052)------------------------------
% 15.03/2.55 % (1721055)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3139247992:s2a=on:i=251:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/251Mi)
% 15.03/2.55 % (1721051)Instruction limit reached!
% 15.03/2.55 % (1721051)------------------------------
% 15.03/2.55 % (1721051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.55 % (1721051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.55 % (1721051)CaDiCaL version: 2.1.3
% 15.03/2.55 % (1721051)Termination reason: Instruction limit
% 15.03/2.55 % (1721051)Termination phase: Saturation
% 15.03/2.55 % (1721051)Time elapsed: 0.146 s
% 15.03/2.55 % (1721051)Peak memory usage: 12 MB
% 15.03/2.55 % (1721051)Instructions burned: 355 (million)
% 15.03/2.55 % (1721055)Instruction limit reached!
% 15.03/2.55 % (1721055)------------------------------
% 15.03/2.55 % (1721055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.55 % (1721055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.55 % (1721055)CaDiCaL version: 2.1.3
% 15.03/2.55 % (1721055)Termination reason: Instruction limit
% 15.03/2.55 % (1721055)Termination phase: Saturation
% 15.03/2.55 % (1721055)Time elapsed: 0.114 s
% 15.03/2.55 % (1721055)Peak memory usage: 12 MB
% 15.03/2.55 % (1721055)Instructions burned: 251 (million)
% 15.03/2.55 % (1721057)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=2041429711: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_2983 on theBenchmark for (2983ds/2470Mi)
% 15.03/2.55 % (1721058)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3097850893:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2983 on theBenchmark for (2983ds/673Mi)
% 15.03/2.55 % (1721016)Instruction limit reached!
% 15.03/2.55 % (1721016)------------------------------
% 16.58/2.89 % (1721016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.58/2.89 % (1721016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/2.89 % (1721016)CaDiCaL version: 2.1.3
% 16.58/2.89 % (1721016)Termination reason: Instruction limit
% 16.58/2.89 % (1721016)Termination phase: Saturation
% 16.58/2.89 % (1721016)Time elapsed: 0.653 s
% 16.58/2.89 % (1721016)Peak memory usage: 14 MB
% 16.58/2.89 % (1721016)Instructions burned: 865 (million)
% 16.58/2.89 % (1721061)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2948251848:i=116:ep=RSTC:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/116Mi)
% 16.58/2.89 % (1721061)Instruction limit reached!
% 16.58/2.89 % (1721061)------------------------------
% 16.58/2.89 % (1721061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.58/2.89 % (1721061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/2.89 % (1721061)CaDiCaL version: 2.1.3
% 16.58/2.89 % (1721061)Termination reason: Instruction limit
% 16.58/2.89 % (1721061)Termination phase: Saturation
% 16.58/2.89 % (1721061)Time elapsed: 0.055 s
% 16.58/2.89 % (1721061)Peak memory usage: 12 MB
% 16.58/2.89 % (1721061)Instructions burned: 116 (million)
% 16.58/2.89 % (1721063)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1576395949: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)
% 16.58/2.89 % (1720998)Instruction limit reached!
% 16.58/2.89 % (1720998)------------------------------
% 16.58/2.89 % (1720998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.58/2.89 % (1720998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/2.89 % (1720998)CaDiCaL version: 2.1.3
% 16.58/2.89 % (1720998)Termination reason: Instruction limit
% 16.58/2.89 % (1720998)Termination phase: Saturation
% 16.58/2.89 % (1720998)Time elapsed: 0.876 s
% 16.58/2.89 % (1720998)Peak memory usage: 13 MB
% 16.58/2.89 % (1720998)Instructions burned: 1440 (million)
% 16.58/2.89 % (1721065)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=3342101497: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_2979 on theBenchmark for (2979ds/30Mi)
% 16.58/2.89 % (1721065)Instruction limit reached!
% 16.58/2.89 % (1721065)------------------------------
% 16.58/2.89 % (1721065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.58/2.89 % (1721065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/2.89 % (1721065)CaDiCaL version: 2.1.3
% 16.58/2.89 % (1721065)Termination reason: Instruction limit
% 16.58/2.89 % (1721065)Termination phase: Saturation
% 16.58/2.89 % (1721065)Time elapsed: 0.022 s
% 16.58/2.89 % (1721065)Peak memory usage: 12 MB
% 16.58/2.89 % (1721065)Instructions burned: 31 (million)
% 16.58/2.89 % (1721047)Instruction limit reached!
% 16.58/2.89 % (1721047)------------------------------
% 16.58/2.89 % (1721047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.58/2.89 % (1721047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/2.89 % (1721047)CaDiCaL version: 2.1.3
% 16.58/2.89 % (1721047)Termination reason: Instruction limit
% 16.58/2.89 % (1721047)Termination phase: Saturation
% 16.58/2.89 % (1721047)Time elapsed: 0.573 s
% 16.58/2.89 % (1721047)Peak memory usage: 13 MB
% 16.58/2.89 % (1721047)Instructions burned: 807 (million)
% 16.58/2.89 % (1721067)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 16.58/2.89 % (1721067)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=4245574044:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2979 on theBenchmark for (2979ds/39Mi)
% 16.58/2.89 % (1721068)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2666150763:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/365Mi)
% 16.58/2.89 % (1721067)Instruction limit reached!
% 16.58/2.89 % (1721067)------------------------------
% 16.58/2.89 % (1721067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.58/2.89 % (1721067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/2.89 % (1721067)CaDiCaL version: 2.1.3
% 16.58/2.89 % (1721067)Termination reason: Instruction limit
% 17.58/2.99 % (1721067)Termination phase: Saturation
% 17.58/2.99 % (1721067)Time elapsed: 0.022 s
% 17.58/2.99 % (1721067)Peak memory usage: 12 MB
% 17.58/2.99 % (1721067)Instructions burned: 39 (million)
% 17.58/2.99 % (1721071)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4016234900:i=158:av=off:rtra=on_2979 on theBenchmark for (2979ds/158Mi)
% 17.58/2.99 % (1721058)Instruction limit reached!
% 17.58/2.99 % (1721058)------------------------------
% 17.58/2.99 % (1721058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.58/2.99 % (1721058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/2.99 % (1721058)CaDiCaL version: 2.1.3
% 17.58/2.99 % (1721058)Termination reason: Instruction limit
% 17.58/2.99 % (1721058)Termination phase: Saturation
% 17.58/2.99 % (1721058)Time elapsed: 0.434 s
% 17.58/2.99 % (1721058)Peak memory usage: 12 MB
% 17.58/2.99 % (1721058)Instructions burned: 674 (million)
% 17.58/2.99 % (1721071)Instruction limit reached!
% 17.58/2.99 % (1721071)------------------------------
% 17.58/2.99 % (1721071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.58/2.99 % (1721071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/2.99 % (1721071)CaDiCaL version: 2.1.3
% 17.58/2.99 % (1721071)Termination reason: Instruction limit
% 17.58/2.99 % (1721071)Termination phase: Saturation
% 17.58/2.99 % (1721071)Time elapsed: 0.069 s
% 17.58/2.99 % (1721071)Peak memory usage: 12 MB
% 17.58/2.99 % (1721071)Instructions burned: 159 (million)
% 17.58/2.99 % (1721063)Instruction limit reached!
% 17.58/2.99 % (1721063)------------------------------
% 17.58/2.99 % (1721063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.58/2.99 % (1721063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/2.99 % (1721063)CaDiCaL version: 2.1.3
% 17.58/2.99 % (1721063)Termination reason: Instruction limit
% 17.58/2.99 % (1721063)Termination phase: Saturation
% 17.58/2.99 % (1721063)Time elapsed: 0.205 s
% 17.58/2.99 % (1721063)Peak memory usage: 12 MB
% 17.58/2.99 % (1721063)Instructions burned: 270 (million)
% 17.58/2.99 % (1721073)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
% 17.58/2.99 % (1721073)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=1845736150:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/252Mi)
% 17.58/2.99 % (1721075)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=1461155203:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/160Mi)
% 17.58/2.99 % (1721074)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=146657583:i=213:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/213Mi)
% 17.58/2.99 % (1721075)Refutation not found, incomplete strategy
% 17.58/2.99 % (1721075)------------------------------
% 17.58/2.99 % (1721075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.58/2.99 % (1721075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/2.99 % (1721075)CaDiCaL version: 2.1.3
% 17.58/2.99 % (1721075)Termination reason: Refutation not found, incomplete strategy
% 17.58/2.99 % (1721075)Time elapsed: 0.001 s
% 17.58/2.99 % (1721075)Peak memory usage: 11 MB
% 17.58/2.99 % (1721074)Refutation not found, incomplete strategy
% 17.58/2.99 % (1721074)------------------------------
% 17.58/2.99 % (1721074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.58/2.99 % (1721074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.58/2.99 % (1721074)CaDiCaL version: 2.1.3
% 17.58/2.99 % (1721074)Termination reason: Refutation not found, incomplete strategy
% 17.58/2.99 % (1721074)Time elapsed: 0.001 s
% 17.58/2.99 % (1721074)Peak memory usage: 11 MB
% 17.58/2.99 % (1721075)------------------------------
% 17.58/2.99 % (1721075)------------------------------
% 17.58/2.99 % (1721074)------------------------------
% 17.58/2.99 % (1721074)------------------------------
% 17.58/2.99 % (1721079)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2456621527:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/763Mi)
% 17.58/2.99 % (1721080)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 18.93/3.09 % (1721080)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=761797228: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)
% 18.93/3.09 % (1721080)Refutation not found, incomplete strategy
% 18.93/3.09 % (1721080)------------------------------
% 18.93/3.09 % (1721080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.93/3.09 % (1721080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.09 % (1721080)CaDiCaL version: 2.1.3
% 18.93/3.09 % (1721080)Termination reason: Refutation not found, incomplete strategy
% 18.93/3.09 % (1721080)Time elapsed: 0.001 s
% 18.93/3.09 % (1721080)Peak memory usage: 11 MB
% 18.93/3.09 % (1721080)------------------------------
% 18.93/3.09 % (1721080)------------------------------
% 18.93/3.09 % (1721083)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=869101133:s2a=on:i=386:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/386Mi)
% 18.93/3.09 % (1721068)Instruction limit reached!
% 18.93/3.09 % (1721068)------------------------------
% 18.93/3.09 % (1721068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.93/3.09 % (1721068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.09 % (1721068)CaDiCaL version: 2.1.3
% 18.93/3.09 % (1721068)Termination reason: Instruction limit
% 18.93/3.09 % (1721068)Termination phase: Saturation
% 18.93/3.09 % (1721068)Time elapsed: 0.261 s
% 18.93/3.09 % (1721068)Peak memory usage: 13 MB
% 18.93/3.09 % (1721068)Instructions burned: 366 (million)
% 18.93/3.09 % (1721073)Instruction limit reached!
% 18.93/3.09 % (1721073)------------------------------
% 18.93/3.09 % (1721073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.93/3.09 % (1721073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.09 % (1721073)CaDiCaL version: 2.1.3
% 18.93/3.09 % (1721073)Termination reason: Instruction limit
% 18.93/3.09 % (1721073)Termination phase: Saturation
% 18.93/3.09 % (1721073)Time elapsed: 0.161 s
% 18.93/3.09 % (1721073)Peak memory usage: 12 MB
% 18.93/3.09 % (1721073)Instructions burned: 254 (million)
% 18.93/3.09 % (1721085)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=616059484:i=300:piset=and:nm=32:rtra=on_2976 on theBenchmark for (2976ds/300Mi)
% 18.93/3.09 % (1721086)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=1009506610:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/567Mi)
% 18.93/3.09 % (1721086)Refutation not found, incomplete strategy
% 18.93/3.09 % (1721086)------------------------------
% 18.93/3.09 % (1721086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.93/3.09 % (1721086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.09 % (1721086)CaDiCaL version: 2.1.3
% 18.93/3.09 % (1721086)Termination reason: Refutation not found, incomplete strategy
% 18.93/3.09 % (1721086)Time elapsed: 0.001 s
% 18.93/3.09 % (1721086)Peak memory usage: 11 MB
% 18.93/3.09 % (1721086)Instructions burned: 1 (million)
% 18.93/3.09 % (1721086)------------------------------
% 18.93/3.09 % (1721086)------------------------------
% 18.93/3.09 % (1721089)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1964224707:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2976 on theBenchmark for (2976ds/379Mi)
% 18.93/3.09 % (1721089)Refutation not found, incomplete strategy
% 18.93/3.09 % (1721089)------------------------------
% 18.93/3.09 % (1721089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.93/3.09 % (1721089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.09 % (1721089)CaDiCaL version: 2.1.3
% 18.93/3.09 % (1721089)Termination reason: Refutation not found, incomplete strategy
% 18.93/3.09 % (1721089)Time elapsed: 0.001 s
% 18.93/3.09 % (1721089)Peak memory usage: 11 MB
% 18.93/3.09 % (1721089)------------------------------
% 18.93/3.09 % (1721089)------------------------------
% 18.93/3.09 % (1721091)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=806901: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)
% 18.93/3.09 % (1721083)Instruction limit reached!
% 18.93/3.09 % (1721083)------------------------------
% 18.93/3.09 % (1721083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.48/3.16 % (1721083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.48/3.16 % (1721083)CaDiCaL version: 2.1.3
% 19.48/3.16 % (1721083)Termination reason: Instruction limit
% 19.48/3.16 % (1721083)Termination phase: Saturation
% 19.48/3.16 % (1721083)Time elapsed: 0.300 s
% 19.48/3.16 % (1721083)Peak memory usage: 12 MB
% 19.48/3.16 % (1721083)Instructions burned: 387 (million)
% 19.48/3.16 % (1721079)Instruction limit reached!
% 19.48/3.16 % (1721079)------------------------------
% 19.48/3.16 % (1721079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.48/3.16 % (1721079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.48/3.16 % (1721079)CaDiCaL version: 2.1.3
% 19.48/3.16 % (1721079)Termination reason: Instruction limit
% 19.48/3.16 % (1721079)Termination phase: Saturation
% 19.48/3.16 % (1721079)Time elapsed: 0.349 s
% 19.48/3.16 % (1721079)Peak memory usage: 14 MB
% 19.48/3.16 % (1721079)Instructions burned: 764 (million)
% 19.48/3.16 % (1721085)Instruction limit reached!
% 19.48/3.16 % (1721085)------------------------------
% 19.48/3.16 % (1721085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.48/3.16 % (1721085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.48/3.16 % (1721085)CaDiCaL version: 2.1.3
% 19.48/3.16 % (1721085)Termination reason: Instruction limit
% 19.48/3.16 % (1721085)Termination phase: Saturation
% 19.48/3.16 % (1721085)Time elapsed: 0.224 s
% 19.48/3.16 % (1721085)Peak memory usage: 12 MB
% 19.48/3.16 % (1721085)Instructions burned: 301 (million)
% 19.48/3.16 % (1721093)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1419559772:i=478:bd=all:rtra=on_2974 on theBenchmark for (2974ds/478Mi)
% 19.48/3.16 % (1721093)Refutation not found, incomplete strategy
% 19.48/3.16 % (1721093)------------------------------
% 19.48/3.16 % (1721093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.48/3.16 % (1721093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.48/3.16 % (1721093)CaDiCaL version: 2.1.3
% 19.48/3.16 % (1721093)Termination reason: Refutation not found, incomplete strategy
% 19.48/3.16 % (1721093)Time elapsed: 0.002 s
% 19.48/3.16 % (1721093)Peak memory usage: 11 MB
% 19.48/3.16 % (1721093)Instructions burned: 1 (million)
% 19.48/3.16 % (1721093)------------------------------
% 19.48/3.16 % (1721093)------------------------------
% 19.48/3.16 % (1721094)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3335060078:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2974 on theBenchmark for (2974ds/445Mi)
% 19.48/3.16 % (1721095)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=4288701551:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2973 on theBenchmark for (2973ds/71Mi)
% 19.48/3.16 % (1721098)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2093163771:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/302Mi)
% 19.48/3.16 % (1721098)Refutation not found, incomplete strategy
% 19.48/3.16 % (1721098)------------------------------
% 19.48/3.16 % (1721098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.48/3.16 % (1721098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.48/3.16 % (1721098)CaDiCaL version: 2.1.3
% 19.48/3.16 % (1721098)Termination reason: Refutation not found, incomplete strategy
% 19.48/3.16 % (1721098)Time elapsed: 0.001 s
% 19.48/3.16 % (1721098)Peak memory usage: 11 MB
% 19.48/3.16 % (1721098)------------------------------
% 19.48/3.16 % (1721098)------------------------------
% 19.48/3.16 % (1721101)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=738249592:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/4980Mi)
% 19.48/3.16 % (1721101)Refutation not found, incomplete strategy
% 19.48/3.16 % (1721101)------------------------------
% 19.48/3.16 % (1721101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.48/3.16 % (1721101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.48/3.16 % (1721101)CaDiCaL version: 2.1.3
% 19.48/3.16 % (1721101)Termination reason: Refutation not found, incomplete strategy
% 19.48/3.16 % (1721101)Time elapsed: 0.001 s
% 19.48/3.16 % (1721101)Peak memory usage: 11 MB
% 19.48/3.16 % (1721101)------------------------------
% 19.48/3.16 % (1721101)------------------------------
% 19.48/3.16 % (1721095)Instruction limit reached!
% 19.48/3.16 % (1721095)------------------------------
% 19.48/3.16 % (1721095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.63/3.30 % (1721095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.63/3.30 % (1721095)CaDiCaL version: 2.1.3
% 19.63/3.30 % (1721095)Termination reason: Instruction limit
% 19.63/3.30 % (1721095)Termination phase: Saturation
% 19.63/3.30 % (1721095)Time elapsed: 0.059 s
% 19.63/3.30 % (1721095)Peak memory usage: 12 MB
% 19.63/3.30 % (1721095)Instructions burned: 72 (million)
% 19.63/3.30 % (1721103)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
% 19.63/3.30 % (1721103)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 19.63/3.30 % (1721103)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4243927478:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2973 on theBenchmark for (2973ds/100Mi)
% 19.63/3.30 % (1721104)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=567250797:i=76:piset=equals:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/76Mi)
% 19.63/3.30 % (1721057)Instruction limit reached!
% 19.63/3.30 % (1721057)------------------------------
% 19.63/3.30 % (1721057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.63/3.30 % (1721057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.63/3.30 % (1721057)CaDiCaL version: 2.1.3
% 19.63/3.30 % (1721057)Termination reason: Instruction limit
% 19.63/3.30 % (1721057)Termination phase: Saturation
% 19.63/3.30 % (1721057)Time elapsed: 1.031 s
% 19.63/3.30 % (1721057)Peak memory usage: 17 MB
% 19.63/3.30 % (1721057)Instructions burned: 2470 (million)
% 19.63/3.30 % (1721091)Instruction limit reached!
% 19.63/3.30 % (1721091)------------------------------
% 19.63/3.30 % (1721091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.63/3.30 % (1721091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.63/3.30 % (1721091)CaDiCaL version: 2.1.3
% 19.63/3.30 % (1721091)Termination reason: Instruction limit
% 19.63/3.30 % (1721091)Termination phase: Saturation
% 19.63/3.30 % (1721091)Time elapsed: 0.307 s
% 19.63/3.30 % (1721091)Peak memory usage: 12 MB
% 19.63/3.30 % (1721091)Instructions burned: 429 (million)
% 19.63/3.30 % (1721107)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2967770729:i=289:rtra=on_2972 on theBenchmark for (2972ds/289Mi)
% 19.63/3.30 % (1721107)Refutation not found, incomplete strategy
% 19.63/3.30 % (1721107)------------------------------
% 19.63/3.30 % (1721107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.63/3.30 % (1721107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.63/3.30 % (1721107)CaDiCaL version: 2.1.3
% 19.63/3.30 % (1721107)Termination reason: Refutation not found, incomplete strategy
% 19.63/3.30 % (1721107)Time elapsed: 0.001 s
% 19.63/3.30 % (1721107)Peak memory usage: 12 MB
% 19.63/3.30 % (1721107)Instructions burned: 1 (million)
% 19.63/3.30 % (1721107)------------------------------
% 19.63/3.30 % (1721107)------------------------------
% 19.63/3.30 % (1721043)Instruction limit reached!
% 19.63/3.30 % (1721043)------------------------------
% 19.63/3.30 % (1721043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.63/3.30 % (1721043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.63/3.30 % (1721043)CaDiCaL version: 2.1.3
% 19.63/3.30 % (1721043)Termination reason: Instruction limit
% 19.63/3.30 % (1721043)Termination phase: Saturation
% 19.63/3.30 % (1721043)Time elapsed: 1.304 s
% 19.63/3.30 % (1721043)Peak memory usage: 13 MB
% 19.63/3.30 % (1721043)Instructions burned: 2187 (million)
% 19.63/3.30 % (1721108)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=2708261122:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2972 on theBenchmark for (2972ds/493Mi)
% 19.63/3.30 % (1721110)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=1168265817:cond=on:i=34:hud=10:nm=10:rtra=on_2972 on theBenchmark for (2972ds/34Mi)
% 19.63/3.30 % (1721104)Instruction limit reached!
% 19.63/3.30 % (1721104)------------------------------
% 21.08/3.61 % (1721104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.08/3.61 % (1721104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.08/3.61 % (1721104)CaDiCaL version: 2.1.3
% 21.08/3.61 % (1721104)Termination reason: Instruction limit
% 21.08/3.61 % (1721104)Termination phase: Saturation
% 21.08/3.61 % (1721104)Time elapsed: 0.062 s
% 21.08/3.61 % (1721104)Peak memory usage: 12 MB
% 21.08/3.61 % (1721104)Instructions burned: 77 (million)
% 21.08/3.61 % (1721111)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 21.08/3.61 % (1721103)Instruction limit reached!
% 21.08/3.61 % (1721103)------------------------------
% 21.08/3.61 % (1721103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.08/3.61 % (1721103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.08/3.61 % (1721103)CaDiCaL version: 2.1.3
% 21.08/3.61 % (1721103)Termination reason: Instruction limit
% 21.08/3.61 % (1721103)Termination phase: Saturation
% 21.08/3.61 % (1721103)Time elapsed: 0.085 s
% 21.08/3.61 % (1721103)Peak memory usage: 12 MB
% 21.08/3.61 % (1721103)Instructions burned: 103 (million)
% 21.08/3.61 % (1721111)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=509969541:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2972 on theBenchmark for (2972ds/372Mi)
% 21.08/3.61 % (1721111)Refutation not found, incomplete strategy
% 21.08/3.61 % (1721111)------------------------------
% 21.08/3.61 % (1721111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.08/3.61 % (1721111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.08/3.61 % (1721111)CaDiCaL version: 2.1.3
% 21.08/3.61 % (1721111)Termination reason: Refutation not found, incomplete strategy
% 21.08/3.61 % (1721111)Time elapsed: 0.003 s
% 21.08/3.61 % (1721111)Peak memory usage: 12 MB
% 21.08/3.61 % (1721111)Instructions burned: 2 (million)
% 21.08/3.61 % (1721111)------------------------------
% 21.08/3.61 % (1721111)------------------------------
% 21.08/3.61 % (1721110)Instruction limit reached!
% 21.08/3.61 % (1721110)------------------------------
% 21.08/3.61 % (1721110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.08/3.61 % (1721110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.08/3.61 % (1721110)CaDiCaL version: 2.1.3
% 21.08/3.61 % (1721110)Termination reason: Instruction limit
% 21.08/3.61 % (1721110)Termination phase: Saturation
% 21.08/3.61 % (1721110)Time elapsed: 0.030 s
% 21.08/3.61 % (1721110)Peak memory usage: 12 MB
% 21.08/3.61 % (1721110)Instructions burned: 35 (million)
% 21.08/3.61 % (1721114)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2839327527:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2972 on theBenchmark for (2972ds/670Mi)
% 21.08/3.61 % (1721115)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1287542735:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2972 on theBenchmark for (2972ds/647Mi)
% 21.08/3.61 % (1721117)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=4100211820:i=857:add=off:kws=frequency:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/857Mi)
% 21.08/3.61 % (1721115)Refutation not found, incomplete strategy
% 21.08/3.61 % (1721115)------------------------------
% 21.08/3.61 % (1721115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.08/3.61 % (1721115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.08/3.61 % (1721115)CaDiCaL version: 2.1.3
% 21.08/3.61 % (1721115)Termination reason: Refutation not found, incomplete strategy
% 21.08/3.61 % (1721115)Time elapsed: 0.001 s
% 21.08/3.61 % (1721115)Peak memory usage: 11 MB
% 21.08/3.61 % (1721115)------------------------------
% 21.08/3.61 % (1721115)------------------------------
% 21.08/3.61 % (1721118)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=1138340677:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/693Mi)
% 21.08/3.61 % (1721122)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=544698645:i=285:hud=10:bd=all:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/285Mi)
% 22.36/3.71 % (1721122)Refutation not found, incomplete strategy
% 22.36/3.71 % (1721122)------------------------------
% 22.36/3.71 % (1721122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.71 % (1721122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.71 % (1721122)CaDiCaL version: 2.1.3
% 22.36/3.71 % (1721122)Termination reason: Refutation not found, incomplete strategy
% 22.36/3.71 % (1721122)Time elapsed: 0.002 s
% 22.36/3.71 % (1721122)Peak memory usage: 11 MB
% 22.36/3.71 % (1721122)Instructions burned: 1 (million)
% 22.36/3.71 % (1721122)------------------------------
% 22.36/3.71 % (1721122)------------------------------
% 22.36/3.71 % (1721125)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 22.36/3.71 % (1721125)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=2491090650: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)
% 22.36/3.71 % (1721125)Instruction limit reached!
% 22.36/3.71 % (1721125)------------------------------
% 22.36/3.71 % (1721125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.71 % (1721125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.71 % (1721125)CaDiCaL version: 2.1.3
% 22.36/3.71 % (1721125)Termination reason: Instruction limit
% 22.36/3.71 % (1721125)Termination phase: Saturation
% 22.36/3.71 % (1721125)Time elapsed: 0.038 s
% 22.36/3.71 % (1721125)Peak memory usage: 12 MB
% 22.36/3.71 % (1721125)Instructions burned: 52 (million)
% 22.36/3.71 % (1721127)dis+10_1_si=on:random_seed=3792865537:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2970 on theBenchmark for (2970ds/407Mi)
% 22.36/3.71 % (1721127)Refutation not found, incomplete strategy
% 22.36/3.71 % (1721127)------------------------------
% 22.36/3.71 % (1721127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.71 % (1721127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.71 % (1721127)CaDiCaL version: 2.1.3
% 22.36/3.71 % (1721127)Termination reason: Refutation not found, incomplete strategy
% 22.36/3.71 % (1721127)Time elapsed: 0.001 s
% 22.36/3.71 % (1721127)Peak memory usage: 11 MB
% 22.36/3.71 % (1721127)------------------------------
% 22.36/3.71 % (1721127)------------------------------
% 22.36/3.71 % (1721108)Instruction limit reached!
% 22.36/3.71 % (1721108)------------------------------
% 22.36/3.71 % (1721108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.71 % (1721108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.71 % (1721108)CaDiCaL version: 2.1.3
% 22.36/3.71 % (1721108)Termination reason: Instruction limit
% 22.36/3.71 % (1721108)Termination phase: Saturation
% 22.36/3.71 % (1721108)Time elapsed: 0.196 s
% 22.36/3.71 % (1721108)Peak memory usage: 12 MB
% 22.36/3.71 % (1721108)Instructions burned: 494 (million)
% 22.36/3.71 % (1721129)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=1294891081:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/2240Mi)
% 22.36/3.71 % (1721094)Instruction limit reached!
% 22.36/3.71 % (1721094)------------------------------
% 22.36/3.71 % (1721094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.71 % (1721094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.71 % (1721094)CaDiCaL version: 2.1.3
% 22.36/3.71 % (1721094)Termination reason: Instruction limit
% 22.36/3.71 % (1721094)Termination phase: Saturation
% 22.36/3.71 % (1721094)Time elapsed: 0.366 s
% 22.36/3.71 % (1721094)Peak memory usage: 14 MB
% 22.36/3.71 % (1721094)Instructions burned: 445 (million)
% 22.36/3.71 % (1721130)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=4221140996:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/336Mi)
% 22.36/3.71 % (1721130)Refutation not found, incomplete strategy
% 22.36/3.71 % (1721130)------------------------------
% 22.36/3.71 % (1721130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.71 % (1721130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.71 % (1721130)CaDiCaL version: 2.1.3
% 22.36/3.71 % (1721130)Termination reason: Refutation not found, incomplete strategy
% 22.36/3.71 % (1721130)Time elapsed: 0.0000 s
% 22.36/3.71 % (1721130)Peak memory usage: 11 MB
% 23.19/4.00 % (1721130)------------------------------
% 23.19/4.00 % (1721130)------------------------------
% 23.19/4.00 % (1721132)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=155879850:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2970 on theBenchmark for (2970ds/1142Mi)
% 23.19/4.00 % (1721134)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=4076919444:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/376Mi)
% 23.19/4.00 % (1721134)Refutation not found, incomplete strategy
% 23.19/4.00 % (1721134)------------------------------
% 23.19/4.00 % (1721134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.19/4.00 % (1721134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.19/4.00 % (1721134)CaDiCaL version: 2.1.3
% 23.19/4.00 % (1721134)Termination reason: Refutation not found, incomplete strategy
% 23.19/4.00 % (1721134)Time elapsed: 0.001 s
% 23.19/4.00 % (1721134)Peak memory usage: 11 MB
% 23.19/4.00 % (1721134)------------------------------
% 23.19/4.00 % (1721134)------------------------------
% 23.19/4.00 % (1721137)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3323167158:i=766:bd=all:rtra=on_2969 on theBenchmark for (2969ds/766Mi)
% 23.19/4.00 % (1721137)Refutation not found, incomplete strategy
% 23.19/4.00 % (1721137)------------------------------
% 23.19/4.00 % (1721137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.19/4.00 % (1721137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.19/4.00 % (1721137)CaDiCaL version: 2.1.3
% 23.19/4.00 % (1721137)Termination reason: Refutation not found, incomplete strategy
% 23.19/4.00 % (1721137)Time elapsed: 0.002 s
% 23.19/4.00 % (1721137)Peak memory usage: 12 MB
% 23.19/4.00 % (1721137)Instructions burned: 1 (million)
% 23.19/4.00 % (1721137)------------------------------
% 23.19/4.00 % (1721137)------------------------------
% 23.19/4.00 % (1721139)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 23.19/4.00 % (1721139)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2240019318: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_2969 on theBenchmark for (2969ds/959Mi)
% 23.19/4.00 % (1721139)Refutation not found, incomplete strategy
% 23.19/4.00 % (1721139)------------------------------
% 23.19/4.00 % (1721139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.19/4.00 % (1721139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.19/4.00 % (1721139)CaDiCaL version: 2.1.3
% 23.19/4.00 % (1721139)Termination reason: Refutation not found, incomplete strategy
% 23.19/4.00 % (1721139)Time elapsed: 0.001 s
% 23.19/4.00 % (1721139)Peak memory usage: 11 MB
% 23.19/4.00 % (1721139)------------------------------
% 23.19/4.00 % (1721139)------------------------------
% 23.19/4.00 % (1721141)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=2347580779:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2969 on theBenchmark for (2969ds/6359Mi)
% 23.19/4.00 % (1721114)Instruction limit reached!
% 23.19/4.00 % (1721114)------------------------------
% 23.19/4.00 % (1721114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.19/4.00 % (1721114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.19/4.00 % (1721114)CaDiCaL version: 2.1.3
% 23.19/4.00 % (1721114)Termination reason: Instruction limit
% 23.19/4.00 % (1721114)Termination phase: Saturation
% 23.19/4.00 % (1721114)Time elapsed: 0.464 s
% 23.19/4.00 % (1721114)Peak memory usage: 12 MB
% 23.19/4.00 % (1721114)Instructions burned: 671 (million)
% 23.19/4.00 % (1721117)Instruction limit reached!
% 23.19/4.00 % (1721117)------------------------------
% 23.19/4.00 % (1721117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.19/4.00 % (1721117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.19/4.00 % (1721117)CaDiCaL version: 2.1.3
% 23.19/4.00 % (1721117)Termination reason: Instruction limit
% 23.19/4.00 % (1721117)Termination phase: Saturation
% 23.19/4.00 % (1721117)Time elapsed: 0.476 s
% 23.19/4.00 % (1721117)Peak memory usage: 12 MB
% 23.19/4.00 % (1721117)Instructions burned: 858 (million)
% 23.19/4.00 % (1721143)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1979019347: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)
% 26.70/4.16 % (1721143)Refutation not found, incomplete strategy
% 26.70/4.16 % (1721143)------------------------------
% 26.70/4.16 % (1721143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.70/4.16 % (1721143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.70/4.16 % (1721143)CaDiCaL version: 2.1.3
% 26.70/4.16 % (1721143)Termination reason: Refutation not found, incomplete strategy
% 26.70/4.16 % (1721143)Time elapsed: 0.002 s
% 26.70/4.16 % (1721143)Peak memory usage: 11 MB
% 26.70/4.16 % (1721143)------------------------------
% 26.70/4.16 % (1721143)------------------------------
% 26.70/4.16 % (1721118)Instruction limit reached!
% 26.70/4.16 % (1721118)------------------------------
% 26.70/4.16 % (1721118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.70/4.16 % (1721118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.70/4.16 % (1721118)CaDiCaL version: 2.1.3
% 26.70/4.16 % (1721118)Termination reason: Instruction limit
% 26.70/4.16 % (1721118)Termination phase: Saturation
% 26.70/4.16 % (1721118)Time elapsed: 0.469 s
% 26.70/4.16 % (1721118)Peak memory usage: 12 MB
% 26.70/4.16 % (1721118)Instructions burned: 694 (million)
% 26.70/4.16 % (1721144)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2582146964:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2966 on theBenchmark for (2966ds/53Mi)
% 26.70/4.16 % (1721146)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3150593426:s2a=on:i=876:s2at=6:nm=2:rtra=on_2966 on theBenchmark for (2966ds/876Mi)
% 26.70/4.16 % (1721147)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3559122090:i=57:ep=R:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/57Mi)
% 26.70/4.16 % (1721144)Instruction limit reached!
% 26.70/4.16 % (1721144)------------------------------
% 26.70/4.16 % (1721144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.70/4.16 % (1721144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.70/4.16 % (1721144)CaDiCaL version: 2.1.3
% 26.70/4.16 % (1721144)Termination reason: Instruction limit
% 26.70/4.16 % (1721144)Termination phase: Saturation
% 26.70/4.16 % (1721144)Time elapsed: 0.032 s
% 26.70/4.16 % (1721144)Peak memory usage: 12 MB
% 26.70/4.16 % (1721144)Instructions burned: 54 (million)
% 26.70/4.16 % (1721151)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 26.70/4.16 % (1721151)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=914484260:i=306:bd=all:rtra=on_2966 on theBenchmark for (2966ds/306Mi)
% 26.70/4.16 % (1721151)Refutation not found, incomplete strategy
% 26.70/4.16 % (1721151)------------------------------
% 26.70/4.16 % (1721151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.70/4.16 % (1721151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.70/4.16 % (1721151)CaDiCaL version: 2.1.3
% 26.70/4.16 % (1721151)Termination reason: Refutation not found, incomplete strategy
% 26.70/4.16 % (1721151)Time elapsed: 0.001 s
% 26.70/4.16 % (1721151)Peak memory usage: 12 MB
% 26.70/4.16 % (1721151)Instructions burned: 1 (million)
% 26.70/4.16 % (1721151)------------------------------
% 26.70/4.16 % (1721151)------------------------------
% 26.70/4.16 % (1721147)Instruction limit reached!
% 26.70/4.16 % (1721147)------------------------------
% 26.70/4.16 % (1721147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.70/4.16 % (1721147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.70/4.16 % (1721147)CaDiCaL version: 2.1.3
% 26.70/4.16 % (1721147)Termination reason: Instruction limit
% 26.70/4.16 % (1721147)Termination phase: Saturation
% 26.70/4.16 % (1721147)Time elapsed: 0.046 s
% 26.70/4.16 % (1721147)Peak memory usage: 12 MB
% 26.70/4.16 % (1721147)Instructions burned: 58 (million)
% 26.70/4.16 % (1721153)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3252675139:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/262Mi)
% 26.70/4.16 % (1721153)Refutation not found, incomplete strategy
% 26.70/4.16 % (1721153)------------------------------
% 26.70/4.16 % (1721153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.38 % (1721153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.38 % (1721153)CaDiCaL version: 2.1.3
% 27.35/4.38 % (1721153)Termination reason: Refutation not found, incomplete strategy
% 27.35/4.38 % (1721153)Time elapsed: 0.001 s
% 27.35/4.38 % (1721153)Peak memory usage: 11 MB
% 27.35/4.38 % (1721153)------------------------------
% 27.35/4.38 % (1721153)------------------------------
% 27.35/4.38 % (1721154)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 27.35/4.38 % (1721154)ott+1002_16_sil=128000:si=on:random_seed=27220687:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2966 on theBenchmark for (2966ds/409Mi)
% 27.35/4.38 % (1721132)Instruction limit reached!
% 27.35/4.38 % (1721132)------------------------------
% 27.35/4.38 % (1721132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.38 % (1721132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.38 % (1721132)CaDiCaL version: 2.1.3
% 27.35/4.38 % (1721132)Termination reason: Instruction limit
% 27.35/4.38 % (1721132)Termination phase: Saturation
% 27.35/4.38 % (1721132)Time elapsed: 0.424 s
% 27.35/4.38 % (1721132)Peak memory usage: 14 MB
% 27.35/4.38 % (1721132)Instructions burned: 1142 (million)
% 27.35/4.38 % (1721156)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=569306187:s2a=on:i=381:rtra=on_2965 on theBenchmark for (2965ds/381Mi)
% 27.35/4.38 % (1721158)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2159607649:cond=on:i=324:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/324Mi)
% 27.35/4.38 % (1721158)Instruction limit reached!
% 27.35/4.38 % (1721158)------------------------------
% 27.35/4.38 % (1721158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.38 % (1721158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.38 % (1721158)CaDiCaL version: 2.1.3
% 27.35/4.38 % (1721158)Termination reason: Instruction limit
% 27.35/4.38 % (1721158)Termination phase: Saturation
% 27.35/4.38 % (1721158)Time elapsed: 0.121 s
% 27.35/4.38 % (1721158)Peak memory usage: 12 MB
% 27.35/4.38 % (1721158)Instructions burned: 327 (million)
% 27.35/4.38 % (1721161)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2178734736:i=240:kws=inv_precedence:rtra=on_2964 on theBenchmark for (2964ds/240Mi)
% 27.35/4.38 % (1721161)Refutation not found, incomplete strategy
% 27.35/4.38 % (1721161)------------------------------
% 27.35/4.38 % (1721161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.38 % (1721161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.38 % (1721161)CaDiCaL version: 2.1.3
% 27.35/4.38 % (1721161)Termination reason: Refutation not found, incomplete strategy
% 27.35/4.38 % (1721161)Time elapsed: 0.001 s
% 27.35/4.38 % (1721161)Peak memory usage: 12 MB
% 27.35/4.38 % (1721161)Instructions burned: 1 (million)
% 27.35/4.38 % (1721161)------------------------------
% 27.35/4.38 % (1721161)------------------------------
% 27.35/4.38 % (1721163)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.35/4.38 % (1721163)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=446605147:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/124Mi)
% 27.35/4.38 % (1721163)Instruction limit reached!
% 27.35/4.38 % (1721163)------------------------------
% 27.35/4.38 % (1721163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.38 % (1721163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.38 % (1721163)CaDiCaL version: 2.1.3
% 27.35/4.38 % (1721163)Termination reason: Instruction limit
% 27.35/4.38 % (1721163)Termination phase: Saturation
% 27.35/4.38 % (1721163)Time elapsed: 0.046 s
% 27.35/4.38 % (1721163)Peak memory usage: 12 MB
% 27.35/4.38 % (1721163)Instructions burned: 125 (million)
% 27.35/4.38 % (1721165)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1180304681:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2963 on theBenchmark for (2963ds/223Mi)
% 27.35/4.38 % (1721154)Instruction limit reached!
% 27.35/4.38 % (1721154)------------------------------
% 27.35/4.38 % (1721154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.38 % (1721154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.38 % (1721154)CaDiCaL version: 2.1.3
% 29.61/4.85 % (1721154)Termination reason: Instruction limit
% 29.61/4.85 % (1721154)Termination phase: Saturation
% 29.61/4.85 % (1721154)Time elapsed: 0.274 s
% 29.61/4.85 % (1721154)Peak memory usage: 13 MB
% 29.61/4.85 % (1721154)Instructions burned: 409 (million)
% 29.61/4.85 % (1721167)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=964170961:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2962 on theBenchmark for (2962ds/282Mi)
% 29.61/4.85 % (1721156)Instruction limit reached!
% 29.61/4.85 % (1721156)------------------------------
% 29.61/4.85 % (1721156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.61/4.85 % (1721156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.61/4.85 % (1721156)CaDiCaL version: 2.1.3
% 29.61/4.85 % (1721156)Termination reason: Instruction limit
% 29.61/4.85 % (1721156)Termination phase: Saturation
% 29.61/4.85 % (1721156)Time elapsed: 0.286 s
% 29.61/4.85 % (1721156)Peak memory usage: 12 MB
% 29.61/4.85 % (1721156)Instructions burned: 381 (million)
% 29.61/4.85 % (1721169)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=4252554526:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2962 on theBenchmark for (2962ds/464Mi)
% 29.61/4.85 % (1721169)Refutation not found, incomplete strategy
% 29.61/4.85 % (1721169)------------------------------
% 29.61/4.85 % (1721169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.61/4.85 % (1721169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.61/4.85 % (1721169)CaDiCaL version: 2.1.3
% 29.61/4.85 % (1721169)Termination reason: Refutation not found, incomplete strategy
% 29.61/4.85 % (1721169)Time elapsed: 0.001 s
% 29.61/4.85 % (1721169)Peak memory usage: 11 MB
% 29.61/4.85 % (1721169)Instructions burned: 1 (million)
% 29.61/4.85 % (1721169)------------------------------
% 29.61/4.85 % (1721169)------------------------------
% 29.61/4.85 % (1721171)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=3040490858:i=88:s2at=3:nm=2:rtra=on:rawr=on_2962 on theBenchmark for (2962ds/88Mi)
% 29.61/4.85 % (1721165)Instruction limit reached!
% 29.61/4.85 % (1721165)------------------------------
% 29.61/4.85 % (1721165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.61/4.85 % (1721165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.61/4.85 % (1721165)CaDiCaL version: 2.1.3
% 29.61/4.85 % (1721165)Termination reason: Instruction limit
% 29.61/4.85 % (1721165)Termination phase: Saturation
% 29.61/4.85 % (1721165)Time elapsed: 0.129 s
% 29.61/4.85 % (1721165)Peak memory usage: 12 MB
% 29.61/4.85 % (1721165)Instructions burned: 224 (million)
% 29.61/4.85 % (1721171)Instruction limit reached!
% 29.61/4.85 % (1721171)------------------------------
% 29.61/4.85 % (1721171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.61/4.85 % (1721171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.61/4.85 % (1721171)CaDiCaL version: 2.1.3
% 29.61/4.85 % (1721171)Termination reason: Instruction limit
% 29.61/4.85 % (1721171)Termination phase: Saturation
% 29.61/4.85 % (1721171)Time elapsed: 0.042 s
% 29.61/4.85 % (1721171)Peak memory usage: 12 MB
% 29.61/4.85 % (1721171)Instructions burned: 95 (million)
% 29.61/4.85 % (1721174)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 29.61/4.85 % (1721167)Instruction limit reached!
% 29.61/4.85 % (1721167)------------------------------
% 29.61/4.85 % (1721167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.61/4.85 % (1721167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.61/4.85 % (1721167)CaDiCaL version: 2.1.3
% 29.61/4.85 % (1721167)Termination reason: Instruction limit
% 29.61/4.85 % (1721167)Termination phase: Saturation
% 29.61/4.85 % (1721167)Time elapsed: 0.117 s
% 29.61/4.85 % (1721167)Peak memory usage: 13 MB
% 29.61/4.85 % (1721167)Instructions burned: 282 (million)
% 29.61/4.85 % (1721174)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=203616025:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2961 on theBenchmark for (2961ds/4386Mi)
% 29.61/4.85 % (1721173)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1132304208:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2961 on theBenchmark for (2961ds/280Mi)
% 29.61/4.85 % (1721175)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 32.92/5.06 % (1721175)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 32.92/5.06 % (1721175)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=3970197039:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2961 on theBenchmark for (2961ds/483Mi)
% 32.92/5.06 % (1721175)Refutation not found, incomplete strategy
% 32.92/5.06 % (1721175)------------------------------
% 32.92/5.06 % (1721175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.92/5.06 % (1721175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.92/5.06 % (1721175)CaDiCaL version: 2.1.3
% 32.92/5.06 % (1721175)Termination reason: Refutation not found, incomplete strategy
% 32.92/5.06 % (1721175)Time elapsed: 0.001 s
% 32.92/5.06 % (1721175)Peak memory usage: 12 MB
% 32.92/5.06 % (1721175)------------------------------
% 32.92/5.06 % (1721175)------------------------------
% 32.92/5.06 % (1721179)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=183597104:i=73:rtra=on_2961 on theBenchmark for (2961ds/73Mi)
% 32.92/5.06 % (1721179)Refutation not found, incomplete strategy
% 32.92/5.06 % (1721179)------------------------------
% 32.92/5.06 % (1721179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.92/5.06 % (1721179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.92/5.06 % (1721179)CaDiCaL version: 2.1.3
% 32.92/5.06 % (1721179)Termination reason: Refutation not found, incomplete strategy
% 32.92/5.06 % (1721179)Time elapsed: 0.001 s
% 32.92/5.06 % (1721179)Peak memory usage: 11 MB
% 32.92/5.06 % (1721179)Instructions burned: 1 (million)
% 32.92/5.06 % (1721179)------------------------------
% 32.92/5.06 % (1721179)------------------------------
% 32.92/5.06 % (1721181)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4136226651:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2961 on theBenchmark for (2961ds/176Mi)
% 32.92/5.06 % (1721146)Instruction limit reached!
% 32.92/5.06 % (1721146)------------------------------
% 32.92/5.06 % (1721146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.92/5.06 % (1721146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.92/5.06 % (1721146)CaDiCaL version: 2.1.3
% 32.92/5.06 % (1721146)Termination reason: Instruction limit
% 32.92/5.06 % (1721146)Termination phase: Saturation
% 32.92/5.06 % (1721146)Time elapsed: 0.661 s
% 32.92/5.06 % (1721146)Peak memory usage: 13 MB
% 32.92/5.06 % (1721146)Instructions burned: 876 (million)
% 32.92/5.06 % (1721183)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 32.92/5.06 % (1721183)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1349479189:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2959 on theBenchmark for (2959ds/39Mi)
% 32.92/5.06 % (1721181)Instruction limit reached!
% 32.92/5.06 % (1721181)------------------------------
% 32.92/5.06 % (1721181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.92/5.06 % (1721181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.92/5.06 % (1721181)CaDiCaL version: 2.1.3
% 32.92/5.06 % (1721181)Termination reason: Instruction limit
% 32.92/5.06 % (1721181)Termination phase: Saturation
% 32.92/5.06 % (1721181)Time elapsed: 0.140 s
% 32.92/5.06 % (1721181)Peak memory usage: 12 MB
% 32.92/5.06 % (1721181)Instructions burned: 177 (million)
% 32.92/5.06 % (1721183)Instruction limit reached!
% 32.92/5.06 % (1721183)------------------------------
% 32.92/5.06 % (1721183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.92/5.06 % (1721183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.92/5.06 % (1721183)CaDiCaL version: 2.1.3
% 32.92/5.06 % (1721183)Termination reason: Instruction limit
% 32.92/5.06 % (1721183)Termination phase: Saturation
% 32.92/5.06 % (1721183)Time elapsed: 0.028 s
% 32.92/5.06 % (1721183)Peak memory usage: 12 MB
% 32.92/5.06 % (1721183)Instructions burned: 41 (million)
% 32.92/5.06 % (1721173)Instruction limit reached!
% 32.92/5.06 % (1721173)------------------------------
% 32.92/5.06 % (1721173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.92/5.06 % (1721173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.76/5.38 % (1721173)CaDiCaL version: 2.1.3
% 34.76/5.38 % (1721173)Termination reason: Instruction limit
% 34.76/5.38 % (1721173)Termination phase: Saturation
% 34.76/5.38 % (1721173)Time elapsed: 0.230 s
% 34.76/5.38 % (1721173)Peak memory usage: 12 MB
% 34.76/5.38 % (1721173)Instructions burned: 282 (million)
% 34.76/5.38 % (1721185)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=304303400:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/708Mi)
% 34.76/5.38 % (1721186)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
% 34.76/5.38 % (1721186)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=2048202748:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2959 on theBenchmark for (2959ds/252Mi)
% 34.76/5.38 % (1721187)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=3931882325:i=823:fsr=off:rtra=on_2959 on theBenchmark for (2959ds/823Mi)
% 34.76/5.38 % (1721186)Instruction limit reached!
% 34.76/5.38 % (1721186)------------------------------
% 34.76/5.38 % (1721186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.76/5.38 % (1721186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.76/5.38 % (1721186)CaDiCaL version: 2.1.3
% 34.76/5.38 % (1721186)Termination reason: Instruction limit
% 34.76/5.38 % (1721186)Termination phase: Saturation
% 34.76/5.38 % (1721186)Time elapsed: 0.158 s
% 34.76/5.38 % (1721186)Peak memory usage: 12 MB
% 34.76/5.38 % (1721186)Instructions burned: 252 (million)
% 34.76/5.38 % (1721191)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 34.76/5.38 % (1721191)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=3035023953:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/16202Mi)
% 34.76/5.38 % (1721191)Refutation not found, incomplete strategy
% 34.76/5.38 % (1721191)------------------------------
% 34.76/5.38 % (1721191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.76/5.38 % (1721191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.76/5.38 % (1721191)CaDiCaL version: 2.1.3
% 34.76/5.38 % (1721191)Termination reason: Refutation not found, incomplete strategy
% 34.76/5.38 % (1721191)Time elapsed: 0.002 s
% 34.76/5.38 % (1721191)Peak memory usage: 11 MB
% 34.76/5.38 % (1721191)Instructions burned: 1 (million)
% 34.76/5.38 % (1721191)------------------------------
% 34.76/5.38 % (1721191)------------------------------
% 34.76/5.38 % (1721193)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=1043069151:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/300Mi)
% 34.76/5.38 % (1721187)Instruction limit reached!
% 34.76/5.38 % (1721187)------------------------------
% 34.76/5.38 % (1721187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.76/5.38 % (1721187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.76/5.38 % (1721187)CaDiCaL version: 2.1.3
% 34.76/5.38 % (1721187)Termination reason: Instruction limit
% 34.76/5.38 % (1721187)Termination phase: Saturation
% 34.76/5.38 % (1721187)Time elapsed: 0.433 s
% 34.76/5.38 % (1721187)Peak memory usage: 13 MB
% 34.76/5.38 % (1721187)Instructions burned: 825 (million)
% 34.76/5.38 % (1721185)Instruction limit reached!
% 34.76/5.38 % (1721185)------------------------------
% 34.76/5.38 % (1721185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.76/5.38 % (1721185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.76/5.38 % (1721185)CaDiCaL version: 2.1.3
% 34.76/5.38 % (1721185)Termination reason: Instruction limit
% 34.76/5.38 % (1721185)Termination phase: Saturation
% 34.76/5.38 % (1721185)Time elapsed: 0.453 s
% 34.76/5.38 % (1721185)Peak memory usage: 14 MB
% 34.76/5.38 % (1721185)Instructions burned: 709 (million)
% 34.76/5.38 % (1721193)Instruction limit reached!
% 34.76/5.38 % (1721193)------------------------------
% 34.76/5.38 % (1721193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.76/5.38 % (1721193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.76/5.38 % (1721193)CaDiCaL version: 2.1.3
% 34.76/5.38 % (1721193)Termination reason: Instruction limit
% 35.83/5.59 % (1721193)Termination phase: Saturation
% 35.83/5.59 % (1721193)Time elapsed: 0.227 s
% 35.83/5.59 % (1721193)Peak memory usage: 12 MB
% 35.83/5.59 % (1721193)Instructions burned: 300 (million)
% 35.83/5.59 % (1721195)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 35.83/5.59 % (1721195)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 35.83/5.59 % (1721195)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=240097501:i=177:add=on:bd=preordered:rtra=on:rawr=on_2954 on theBenchmark for (2954ds/177Mi)
% 35.83/5.59 % (1721196)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3792327575:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2954 on theBenchmark for (2954ds/715Mi)
% 35.83/5.59 % (1721196)Refutation not found, incomplete strategy
% 35.83/5.59 % (1721196)------------------------------
% 35.83/5.59 % (1721196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.83/5.59 % (1721196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.83/5.59 % (1721196)CaDiCaL version: 2.1.3
% 35.83/5.59 % (1721196)Termination reason: Refutation not found, incomplete strategy
% 35.83/5.59 % (1721196)Time elapsed: 0.002 s
% 35.83/5.59 % (1721196)Peak memory usage: 11 MB
% 35.83/5.59 % (1721196)Instructions burned: 2 (million)
% 35.83/5.59 % (1721196)------------------------------
% 35.83/5.59 % (1721196)------------------------------
% 35.83/5.59 % (1721197)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 35.83/5.59 % (1721197)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 35.83/5.59 % (1721197)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=511178223:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2954 on theBenchmark for (2954ds/230Mi)
% 35.83/5.59 % (1721197)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 35.83/5.59 % (1721200)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2824892994:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2954 on theBenchmark for (2954ds/606Mi)
% 35.83/5.59 % (1721129)Instruction limit reached!
% 35.83/5.59 % (1721129)------------------------------
% 35.83/5.59 % (1721129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.83/5.59 % (1721129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.83/5.59 % (1721129)CaDiCaL version: 2.1.3
% 35.83/5.59 % (1721129)Termination reason: Instruction limit
% 35.83/5.59 % (1721129)Termination phase: Saturation
% 35.83/5.59 % (1721129)Time elapsed: 1.664 s
% 35.83/5.59 % (1721129)Peak memory usage: 16 MB
% 35.83/5.59 % (1721129)Instructions burned: 2241 (million)
% 35.83/5.59 % (1721203)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 35.83/5.59 % (1721203)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=4255838833:lrd=on:i=841:nm=0:rtra=on_2953 on theBenchmark for (2953ds/841Mi)
% 35.83/5.59 % (1721195)Instruction limit reached!
% 35.83/5.59 % (1721195)------------------------------
% 35.83/5.59 % (1721195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.83/5.59 % (1721195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.83/5.59 % (1721195)CaDiCaL version: 2.1.3
% 35.83/5.59 % (1721195)Termination reason: Instruction limit
% 35.83/5.59 % (1721195)Termination phase: Saturation
% 35.83/5.59 % (1721195)Time elapsed: 0.124 s
% 35.83/5.59 % (1721195)Peak memory usage: 12 MB
% 35.83/5.59 % (1721195)Instructions burned: 177 (million)
% 35.83/5.59 % (1721205)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4185022594:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2953 on theBenchmark for (2953ds/445Mi)
% 35.83/5.59 % (1721197)Instruction limit reached!
% 35.83/5.59 % (1721197)------------------------------
% 35.83/5.59 % (1721197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.83/5.59 % (1721197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.83/5.59 % (1721197)CaDiCaL version: 2.1.3
% 36.62/5.66 % (1721197)Termination reason: Instruction limit
% 36.62/5.66 % (1721197)Termination phase: Saturation
% 36.62/5.66 % (1721197)Time elapsed: 0.182 s
% 36.62/5.66 % (1721197)Peak memory usage: 12 MB
% 36.62/5.66 % (1721197)Instructions burned: 230 (million)
% 36.62/5.66 % (1721207)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1942442964:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2952 on theBenchmark for (2952ds/71Mi)
% 36.62/5.66 % (1721207)Instruction limit reached!
% 36.62/5.66 % (1721207)------------------------------
% 36.62/5.66 % (1721207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.62/5.66 % (1721207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.62/5.66 % (1721207)CaDiCaL version: 2.1.3
% 36.62/5.66 % (1721207)Termination reason: Instruction limit
% 36.62/5.66 % (1721207)Termination phase: Saturation
% 36.62/5.66 % (1721207)Time elapsed: 0.039 s
% 36.62/5.66 % (1721207)Peak memory usage: 12 MB
% 36.62/5.66 % (1721207)Instructions burned: 73 (million)
% 36.62/5.66 % (1721209)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
% 36.62/5.66 % (1721209)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 36.62/5.66 % (1721209)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=244078851:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2951 on theBenchmark for (2951ds/100Mi)
% 36.62/5.66 % (1721209)Instruction limit reached!
% 36.62/5.66 % (1721209)------------------------------
% 36.62/5.66 % (1721209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.62/5.66 % (1721209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.62/5.66 % (1721209)CaDiCaL version: 2.1.3
% 36.62/5.66 % (1721209)Termination reason: Instruction limit
% 36.62/5.66 % (1721209)Termination phase: Saturation
% 36.62/5.66 % (1721209)Time elapsed: 0.046 s
% 36.62/5.66 % (1721209)Peak memory usage: 12 MB
% 36.62/5.66 % (1721209)Instructions burned: 101 (million)
% 36.62/5.66 % (1721211)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 36.62/5.66 % (1721211)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=1733321062:i=1352:add=on:aac=none:rtra=on_2951 on theBenchmark for (2951ds/1352Mi)
% 36.62/5.66 % (1721211)Refutation not found, incomplete strategy
% 36.62/5.66 % (1721211)------------------------------
% 36.62/5.66 % (1721211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.62/5.66 % (1721211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.62/5.66 % (1721211)CaDiCaL version: 2.1.3
% 36.62/5.66 % (1721211)Termination reason: Refutation not found, incomplete strategy
% 36.62/5.66 % (1721211)Time elapsed: 0.004 s
% 36.62/5.66 % (1721211)Peak memory usage: 12 MB
% 36.62/5.66 % (1721211)Instructions burned: 2 (million)
% 36.62/5.66 % (1721211)------------------------------
% 36.62/5.66 % (1721211)------------------------------
% 36.62/5.66 % (1721213)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=3371168071:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2950 on theBenchmark for (2950ds/646Mi)
% 36.62/5.66 % (1721200)Instruction limit reached!
% 36.62/5.66 % (1721200)------------------------------
% 36.62/5.66 % (1721200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.62/5.66 % (1721200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.62/5.66 % (1721200)CaDiCaL version: 2.1.3
% 36.62/5.66 % (1721200)Termination reason: Instruction limit
% 36.62/5.66 % (1721200)Termination phase: Saturation
% 36.62/5.66 % (1721200)Time elapsed: 0.478 s
% 36.62/5.66 % (1721200)Peak memory usage: 12 MB
% 36.62/5.66 % (1721200)Instructions burned: 607 (million)
% 36.62/5.66 % (1721205)Instruction limit reached!
% 36.62/5.66 % (1721205)------------------------------
% 36.62/5.66 % (1721205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.62/5.66 % (1721205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.62/5.66 % (1721205)CaDiCaL version: 2.1.3
% 38.18/5.93 % (1721205)Termination reason: Instruction limit
% 38.18/5.93 % (1721205)Termination phase: Saturation
% 38.18/5.93 % (1721205)Time elapsed: 0.368 s
% 38.18/5.93 % (1721205)Peak memory usage: 14 MB
% 38.18/5.93 % (1721205)Instructions burned: 446 (million)
% 38.18/5.93 % (1721215)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=3027866687:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2949 on theBenchmark for (2949ds/1924Mi)
% 38.18/5.93 % (1721215)Refutation not found, incomplete strategy
% 38.18/5.93 % (1721215)------------------------------
% 38.18/5.93 % (1721215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/5.93 % (1721215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/5.93 % (1721215)CaDiCaL version: 2.1.3
% 38.18/5.93 % (1721215)Termination reason: Refutation not found, incomplete strategy
% 38.18/5.93 % (1721215)Time elapsed: 0.001 s
% 38.18/5.93 % (1721215)Peak memory usage: 11 MB
% 38.18/5.93 % (1721215)------------------------------
% 38.18/5.93 % (1721215)------------------------------
% 38.18/5.93 % (1721216)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=351152191:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2949 on theBenchmark for (2949ds/984Mi)
% 38.18/5.93 % (1721216)Refutation not found, incomplete strategy
% 38.18/5.93 % (1721216)------------------------------
% 38.18/5.93 % (1721216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/5.93 % (1721216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/5.93 % (1721216)CaDiCaL version: 2.1.3
% 38.18/5.93 % (1721216)Termination reason: Refutation not found, incomplete strategy
% 38.18/5.93 % (1721216)Time elapsed: 0.002 s
% 38.18/5.93 % (1721216)Peak memory usage: 11 MB
% 38.18/5.93 % (1721216)Instructions burned: 1 (million)
% 38.18/5.93 % (1721216)------------------------------
% 38.18/5.93 % (1721216)------------------------------
% 38.18/5.93 % (1721218)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=627251996:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2948 on theBenchmark for (2948ds/592Mi)
% 38.18/5.93 % (1721220)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=3188750241:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2948 on theBenchmark for (2948ds/872Mi)
% 38.18/5.93 % (1721220)Refutation not found, incomplete strategy
% 38.18/5.93 % (1721220)------------------------------
% 38.18/5.93 % (1721220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/5.93 % (1721220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/5.93 % (1721220)CaDiCaL version: 2.1.3
% 38.18/5.93 % (1721220)Termination reason: Refutation not found, incomplete strategy
% 38.18/5.93 % (1721220)Time elapsed: 0.001 s
% 38.18/5.93 % (1721220)Peak memory usage: 11 MB
% 38.18/5.93 % (1721220)------------------------------
% 38.18/5.93 % (1721220)------------------------------
% 38.18/5.93 % (1721223)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 38.18/5.93 % (1721223)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=2359023899:i=999:add=on:rtra=on_2948 on theBenchmark for (2948ds/999Mi)
% 38.18/5.93 % (1721203)Instruction limit reached!
% 38.18/5.93 % (1721203)------------------------------
% 38.18/5.93 % (1721203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/5.93 % (1721203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/5.93 % (1721203)CaDiCaL version: 2.1.3
% 38.18/5.93 % (1721203)Termination reason: Instruction limit
% 38.18/5.93 % (1721203)Termination phase: Saturation
% 38.18/5.93 % (1721203)Time elapsed: 0.600 s
% 38.18/5.93 % (1721203)Peak memory usage: 13 MB
% 38.18/5.93 % (1721203)Instructions burned: 841 (million)
% 38.18/5.93 % (1721225)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 38.18/5.93 % (1721225)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=3978916177:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2947 on theBenchmark for (2947ds/244Mi)
% 38.18/5.93 % (1721225)Refutation not found, incomplete strategy
% 38.18/5.93 % (1721225)------------------------------
% 38.18/5.93 % (1721225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/6.03 % (1721225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/6.03 % (1721225)CaDiCaL version: 2.1.3
% 38.18/6.03 % (1721225)Termination reason: Refutation not found, incomplete strategy
% 38.18/6.03 % (1721225)Time elapsed: 0.002 s
% 38.18/6.03 % (1721225)Peak memory usage: 11 MB
% 38.18/6.03 % (1721225)Instructions burned: 2 (million)
% 38.18/6.03 % (1721225)------------------------------
% 38.18/6.03 % (1721225)------------------------------
% 38.18/6.03 % (1721213)Instruction limit reached!
% 38.18/6.03 % (1721213)------------------------------
% 38.18/6.03 % (1721213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/6.03 % (1721213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/6.03 % (1721213)CaDiCaL version: 2.1.3
% 38.18/6.03 % (1721213)Termination reason: Instruction limit
% 38.18/6.03 % (1721213)Termination phase: Saturation
% 38.18/6.03 % (1721213)Time elapsed: 0.358 s
% 38.18/6.03 % (1721213)Peak memory usage: 14 MB
% 38.18/6.03 % (1721213)Instructions burned: 647 (million)
% 38.18/6.03 % (1721228)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1580830323:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2947 on theBenchmark for (2947ds/7795Mi)
% 38.18/6.03 % (1721228)Refutation not found, incomplete strategy
% 38.18/6.03 % (1721228)------------------------------
% 38.18/6.03 % (1721228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/6.03 % (1721228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/6.03 % (1721228)CaDiCaL version: 2.1.3
% 38.18/6.03 % (1721228)Termination reason: Refutation not found, incomplete strategy
% 38.18/6.03 % (1721228)Time elapsed: 0.0000 s
% 38.18/6.03 % (1721228)Peak memory usage: 11 MB
% 38.18/6.03 % (1721227)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=205321550:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2947 on theBenchmark for (2947ds/113Mi)
% 38.18/6.03 % (1721228)------------------------------
% 38.18/6.03 % (1721228)------------------------------
% 38.18/6.03 % (1721227)Refutation not found, incomplete strategy
% 38.18/6.03 % (1721227)------------------------------
% 38.18/6.03 % (1721227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/6.03 % (1721227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/6.03 % (1721227)CaDiCaL version: 2.1.3
% 38.18/6.03 % (1721227)Termination reason: Refutation not found, incomplete strategy
% 38.18/6.03 % (1721227)Time elapsed: 0.002 s
% 38.18/6.03 % (1721227)Peak memory usage: 11 MB
% 38.18/6.03 % (1721227)Instructions burned: 1 (million)
% 38.18/6.03 % (1721227)------------------------------
% 38.18/6.03 % (1721227)------------------------------
% 38.18/6.03 % (1721231)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3451919849:st=2:i=5026:sd=1:rtra=on:ss=axioms_2946 on theBenchmark for (2946ds/5026Mi)
% 38.18/6.03 % (1721231)Refutation not found, incomplete strategy
% 38.18/6.03 % (1721231)------------------------------
% 38.18/6.03 % (1721231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/6.03 % (1721231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/6.03 % (1721231)CaDiCaL version: 2.1.3
% 38.18/6.03 % (1721231)Termination reason: Refutation not found, incomplete strategy
% 38.18/6.03 % (1721231)Time elapsed: 0.0000 s
% 38.18/6.03 % (1721231)Peak memory usage: 11 MB
% 38.18/6.03 % (1721231)------------------------------
% 38.18/6.03 % (1721231)------------------------------
% 38.18/6.03 % (1721232)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 38.18/6.03 % (1721232)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=2162829749:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2946 on theBenchmark for (2946ds/763Mi)
% 38.18/6.03 % (1721234)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3395405508:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2946 on theBenchmark for (2946ds/1144Mi)
% 38.18/6.03 % (1721234)Refutation not found, incomplete strategy
% 38.18/6.03 % (1721234)------------------------------
% 38.18/6.03 % (1721234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/6.03 % (1721234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/6.03 % (1721234)CaDiCaL version: 2.1.3
% 38.18/6.03 % (1721234)Termination reason: Refutation not found, incomplete strategy
% 38.18/6.03 % (1721234)Time elapsed: 0.0000 s
% 38.18/6.03 % (1721232)Refutation not found, incomplete strategy
% 38.18/6.03 % (1721232)------------------------------
% 38.18/6.03 % (1721232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/6.03 % (1721234)Peak memory usage: 11 MB
% 38.18/6.03 % (1721232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/6.03 % (1721232)CaDiCaL version: 2.1.3
% 38.18/6.03 % (1721232)Termination reason: Refutation not found, incomplete strategy
% 38.18/6.03 % (1721232)Time elapsed: 0.002 s
% 38.18/6.03 % (1721232)Peak memory usage: 11 MB
% 38.18/6.03 % (1721232)Instructions burned: 1 (million)
% 38.18/6.03 % (1721234)------------------------------
% 38.18/6.03 % (1721234)------------------------------
% 38.18/6.03 % (1721232)------------------------------
% 38.18/6.03 % (1721232)------------------------------
% 38.18/6.03 % (1721237)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 38.18/6.03 % (1721237)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=1564723380:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2946 on theBenchmark for (2946ds/52Mi)
% 38.18/6.03 % (1721238)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=2944989118:i=1724:fsr=off:rtra=on:fe=abstraction_2946 on theBenchmark for (2946ds/1724Mi)
% 38.18/6.03 % (1721237)Instruction limit reached!
% 38.18/6.03 % (1721237)------------------------------
% 38.18/6.03 % (1721237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/6.03 % (1721237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/6.03 % (1721237)CaDiCaL version: 2.1.3
% 38.18/6.03 % (1721237)Termination reason: Instruction limit
% 38.18/6.03 % (1721237)Termination phase: Saturation
% 38.18/6.03 % (1721237)Time elapsed: 0.032 s
% 38.18/6.03 % (1721237)Peak memory usage: 12 MB
% 38.18/6.03 % (1721237)Instructions burned: 52 (million)
% 38.18/6.03 % (1721241)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=2675530850:i=439:add=on:slsql=off:rtra=on:ntd=on_2945 on theBenchmark for (2945ds/439Mi)
% 38.18/6.03 % (1721141) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1720820-1721141"...
% 38.18/6.03 % (1721218)Instruction limit reached!
% 38.18/6.03 % (1721218)------------------------------
% 38.18/6.03 % (1721218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/6.03 % (1721218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/6.03 % (1721218)CaDiCaL version: 2.1.3
% 38.18/6.03 % (1721218)Termination reason: Instruction limit
% 38.18/6.03 % (1721218)Termination phase: Saturation
% 38.18/6.03 % (1721218)Time elapsed: 0.448 s
% 38.18/6.03 % (1721218)Peak memory usage: 12 MB
% 38.18/6.03 % (1721218)Instructions burned: 593 (million)
% 38.18/6.03 % (1721174)Instruction limit reached!
% 38.18/6.03 % (1721174)------------------------------
% 38.18/6.03 % (1721174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/6.03 % (1721174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/6.03 % (1721174)CaDiCaL version: 2.1.3
% 38.18/6.03 % (1721174)Termination reason: Instruction limit
% 38.18/6.03 % (1721174)Termination phase: Saturation
% 38.18/6.03 % (1721174)Time elapsed: 1.761 s
% 38.18/6.03 % (1721174)Peak memory usage: 16 MB
% 38.18/6.03 % (1721174)Instructions burned: 4388 (million)
% 38.18/6.03 % (1721243)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1519124908:i=6395:sd=1:rtra=on:ss=axioms_2944 on theBenchmark for (2944ds/6395Mi)
% 38.18/6.03 % (1721243)Refutation not found, incomplete strategy
% 38.18/6.03 % (1721243)------------------------------
% 38.18/6.03 % (1721243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/6.03 % (1721243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/6.03 % (1721243)CaDiCaL version: 2.1.3
% 38.18/6.03 % (1721243)Termination reason: Refutation not found, incomplete strategy
% 38.18/6.03 % (1721243)Time elapsed: 0.001 s
% 38.18/6.03 % (1721243)Peak memory usage: 11 MB
% 38.18/6.03 % (1721243)------------------------------
% 38.18/6.03 % (1721243)------------------------------
% 38.18/6.03 % (1721246)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 38.18/6.03 % (1721244)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 38.18/6.03 % (1721246)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=3177010643:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2943 on theBenchmark for (2943ds/376Mi)
% 38.18/6.03 % (1721244)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=1258776611:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2943 on theBenchmark for (2943ds/6762Mi)
% 38.18/6.03 % (1721244)Refutation not found, incomplete strategy
% 38.18/6.03 % (1721244)------------------------------
% 38.18/6.03 % (1721244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/6.03 % (1721244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/6.03 % (1721244)CaDiCaL version: 2.1.3
% 38.18/6.03 % (1721244)Termination reason: Refutation not found, incomplete strategy
% 38.18/6.03 % (1721244)Time elapsed: 0.001 s
% 38.18/6.03 % (1721244)Peak memory usage: 11 MB
% 38.18/6.03 % (1721244)------------------------------
% 38.18/6.03 % (1721244)------------------------------
% 38.18/6.03 % (1721241)Instruction limit reached!
% 38.18/6.03 % (1721241)------------------------------
% 38.18/6.03 % (1721241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/6.03 % (1721241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/6.03 % (1721241)CaDiCaL version: 2.1.3
% 38.18/6.03 % (1721241)Termination reason: Instruction limit
% 38.18/6.03 % (1721241)Termination phase: Saturation
% 38.18/6.03 % (1721241)Time elapsed: 0.213 s
% 38.18/6.03 % (1721241)Peak memory usage: 12 MB
% 38.18/6.03 % (1721241)Instructions burned: 439 (million)
% 38.18/6.03 % (1721249)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=2667330450:i=965:bd=all:ins=4:rtra=on_2943 on theBenchmark for (2943ds/965Mi)
% 38.18/6.03 % (1721250)lrs+10_1_sil=128000:si=on:urr=on:random_seed=105032481:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2943 on theBenchmark for (2943ds/5013Mi)
% 38.18/6.03 % (1721250)Refutation not found, incomplete strategy
% 38.18/6.03 % (1721250)------------------------------
% 38.18/6.03 % (1721250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/6.03 % (1721250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/6.03 % (1721250)CaDiCaL version: 2.1.3
% 38.18/6.03 % (1721250)Termination reason: Refutation not found, incomplete strategy
% 38.18/6.03 % (1721250)Time elapsed: 0.0000 s
% 38.18/6.03 % (1721250)Peak memory usage: 11 MB
% 38.18/6.03 % (1721250)------------------------------
% 38.18/6.03 % (1721250)------------------------------
% 38.18/6.03 % (1721253)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=1745861442:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2943 on theBenchmark for (2943ds/1583Mi)
% 38.18/6.03 % (1721141)...printing done.
% 38.18/6.03 % (1721141)Refutation found. Thanks to Tanya!
% 38.18/6.03 % SZS status Unsatisfiable for theBenchmark
% 38.18/6.03 % SZS output start Proof for theBenchmark
% See solution above
% 39.99/6.08 % (1721141)------------------------------
% 39.99/6.08 % (1721141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.99/6.08 % (1721141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.99/6.08 % (1721141)CaDiCaL version: 2.1.3
% 39.99/6.08 % (1721141)Termination reason: Refutation
% 39.99/6.08 % (1721141)Time elapsed: 2.629 s
% 39.99/6.08 % (1721141)Peak memory usage: 19 MB
% 39.99/6.08 % (1721141)Instructions burned: 3117 (million)
% 39.99/6.08 % (1720820)Success in time 5.758 s
% 39.99/6.08 % Vampire exiting
%------------------------------------------------------------------------------