%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA165^1 : 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 : n008.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 08:01:55 AM UTC 2026
% Result : Unsatisfiable 23.63s 3.92s
% Output : Refutation 23.63s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X1: $i,X2: $i,X0: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X3: $i,X1: $i,X0: $i,X2: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X0 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(rectify,[],[f5]) ).
thf(f9,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X1 @ X3 )
| ~ ( b @ X1 @ X0 )
| ~ ( b @ X3 @ X0 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X2 @ X3 ) ),
inference(rectify,[],[f7]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X2 @ X1 )
| ~ ( r @ X2 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f17,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f19,plain,
! [X2: $i,X3: $i,X1: $i,X0: $i] :
( ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ),
inference(flattening,[],[f13]) ).
thf(f20,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(flattening,[],[f15]) ).
thf(f21,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f17]) ).
thf(f22,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(rectify,[],[f20]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f26,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f27,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f28,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f29,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f30,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f31,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f34,plain,
! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f27,f29]) ).
thf(f35,plain,
! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f27,f29]) ).
thf(f36,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f27,f25]) ).
thf(f39,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f30,f27]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true ) ),
inference(constrained_superposition,[],[f30,f34]) ).
thf(f42,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f48,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f30,f35]) ).
thf(f49,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f55,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f29]) ).
thf(f56,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f29]) ).
thf(f57,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f25]) ).
thf(f66,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f49,f55]) ).
thf(f67,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f30,f55]) ).
thf(f68,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f67]) ).
thf(f69,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f66]) ).
thf(f72,definition,
( spl0_1
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f73,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f75,definition,
( spl0_2
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f76,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f75]) ).
thf(f77,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f69,f75,f72]) ).
thf(f82,definition,
( spl0_4
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f83,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_4 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f92,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f76,f35]) ).
thf(f94,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f92]) ).
thf(f110,definition,
( spl0_6
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f111,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_6 ),
inference(avatar_component_clause,[],[f110]) ).
thf(f113,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_6 ),
inference(constrained_superposition,[],[f111,f35]) ).
thf(f115,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f113]) ).
thf(f117,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f115,f110,f72]) ).
thf(f120,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f26,f73]) ).
thf(f121,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f120]) ).
thf(f124,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f49,f56]) ).
thf(f125,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f30,f56]) ).
thf(f126,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f125]) ).
thf(f127,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f124]) ).
thf(f132,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f126,f35]) ).
thf(f135,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f132]) ).
thf(f138,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f57,f25]) ).
thf(f140,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f57,f29]) ).
thf(f141,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f57,f29]) ).
thf(f156,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f30,f140]) ).
thf(f157,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f156]) ).
thf(f163,definition,
( spl0_7
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f164,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f163]) ).
thf(f170,definition,
( spl0_9
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f171,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f170]) ).
thf(f177,definition,
( spl0_11
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f178,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_11 ),
inference(avatar_component_clause,[],[f177]) ).
thf(f187,definition,
( spl0_14
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f188,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_14 ),
inference(avatar_component_clause,[],[f187]) ).
thf(f192,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| spl0_11 ),
inference(constrained_superposition,[],[f178,f34]) ).
thf(f195,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_11 ),
inference(trivial_inequality_removal,[],[f192]) ).
thf(f203,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_14 ),
inference(constrained_superposition,[],[f188,f27]) ).
thf(f204,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_14 ),
inference(trivial_inequality_removal,[],[f203]) ).
thf(f208,definition,
( spl0_15
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f209,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f208]) ).
thf(f211,definition,
( spl0_16
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f212,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f211]) ).
thf(f213,plain,
( spl0_15
| spl0_16
| spl0_14 ),
inference(avatar_split_clause,[],[f204,f187,f211,f208]) ).
thf(f243,definition,
( spl0_17
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f244,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
thf(f253,definition,
( spl0_20
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f254,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_20 ),
inference(avatar_component_clause,[],[f253]) ).
thf(f256,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_20 ),
inference(constrained_superposition,[],[f254,f35]) ).
thf(f259,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_20 ),
inference(trivial_inequality_removal,[],[f256]) ).
thf(f262,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_17 ),
inference(constrained_superposition,[],[f244,f27]) ).
thf(f265,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_17 ),
inference(trivial_inequality_removal,[],[f262]) ).
thf(f268,plain,
( spl0_16
| spl0_7
| spl0_17 ),
inference(avatar_split_clause,[],[f265,f243,f163,f211]) ).
thf(f270,plain,
( spl0_9
| spl0_20 ),
inference(avatar_split_clause,[],[f259,f253,f170]) ).
thf(f272,definition,
( spl0_21
<=> ! [X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f273,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f272]) ).
thf(f275,definition,
( spl0_22
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f276,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f275]) ).
thf(f277,plain,
( spl0_21
| spl0_22
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f135,f82,f275,f272]) ).
thf(f279,definition,
( spl0_23
<=> ( ( r @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f280,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f279]) ).
thf(f285,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_4 ),
inference(constrained_superposition,[],[f83,f34]) ).
thf(f288,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_4 ),
inference(trivial_inequality_removal,[],[f285]) ).
thf(f290,plain,
( spl0_23
| spl0_4 ),
inference(avatar_split_clause,[],[f288,f82,f279]) ).
thf(f306,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f126,f141]) ).
thf(f307,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f49,f141]) ).
thf(f308,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f30,f141]) ).
thf(f309,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f306]) ).
thf(f312,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f308]) ).
thf(f313,plain,
! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f307]) ).
thf(f315,definition,
( spl0_25
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f316,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f315]) ).
thf(f318,definition,
( spl0_26
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f319,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f318]) ).
thf(f320,plain,
( ~ spl0_17
| spl0_25
| spl0_26 ),
inference(avatar_split_clause,[],[f309,f318,f315,f243]) ).
thf(f326,definition,
( spl0_28
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f327,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f326]) ).
thf(f329,definition,
( spl0_29
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f330,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f329]) ).
thf(f331,plain,
( spl0_28
| ~ spl0_20
| spl0_29 ),
inference(avatar_split_clause,[],[f313,f329,f253,f326]) ).
thf(f332,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f26,f171]) ).
thf(f333,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f332]) ).
thf(f338,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f26,f164]) ).
thf(f339,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f338]) ).
thf(f340,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_15 ),
inference(constrained_superposition,[],[f121,f209]) ).
thf(f341,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f26,f209]) ).
thf(f342,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f340]) ).
thf(f343,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f341]) ).
thf(f344,plain,
( $false
| ~ spl0_1
| spl0_11
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f342,f195]) ).
thf(f345,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f344]) ).
thf(f350,definition,
( spl0_31
<=> ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f351,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f350]) ).
thf(f359,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f273,f27]) ).
thf(f360,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
!= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f273,f36]) ).
thf(f361,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f273,f55]) ).
thf(f363,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f360]) ).
thf(f364,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f361]) ).
thf(f365,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f359]) ).
thf(f367,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_7
| ~ spl0_9 ),
inference(constrained_superposition,[],[f333,f164]) ).
thf(f369,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f367]) ).
thf(f371,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f369,f280]) ).
thf(f372,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f371]) ).
thf(f374,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_9 ),
inference(constrained_superposition,[],[f339,f171]) ).
thf(f376,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f374]) ).
thf(f377,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f376,f73]) ).
thf(f378,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f377]) ).
thf(f379,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f316,f27]) ).
thf(f385,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f379]) ).
thf(f391,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_15 ),
inference(constrained_superposition,[],[f343,f171]) ).
thf(f392,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f391]) ).
thf(f393,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f392,f73]) ).
thf(f394,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f393]) ).
thf(f395,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f364,f34]) ).
thf(f397,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f395]) ).
thf(f428,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f312,f56]) ).
thf(f429,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f312,f35]) ).
thf(f430,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f428]) ).
thf(f431,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f429]) ).
thf(f437,plain,
( spl0_29
| spl0_28
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f431,f177,f326,f329]) ).
thf(f438,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f365,f27]) ).
thf(f439,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f365,f34]) ).
thf(f440,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f439]) ).
thf(f441,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f438]) ).
thf(f442,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_11 ),
inference(constrained_superposition,[],[f178,f34]) ).
thf(f445,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_11 ),
inference(trivial_inequality_removal,[],[f442]) ).
thf(f447,plain,
( spl0_31
| spl0_11 ),
inference(avatar_split_clause,[],[f445,f177,f350]) ).
thf(f466,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f26,f280]) ).
thf(f467,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f466]) ).
thf(f474,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f26,f441]) ).
thf(f475,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f474]) ).
thf(f476,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f363,f34]) ).
thf(f479,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f476]) ).
thf(f482,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f26,f479]) ).
thf(f483,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f482]) ).
thf(f489,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f26,f397]) ).
thf(f490,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f489]) ).
thf(f501,definition,
( spl0_32
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f502,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f501]) ).
thf(f507,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f385,f35]) ).
thf(f509,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f507]) ).
thf(f522,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( ( s @ z )
= X1 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( z = X1 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f475,f441]) ).
thf(f524,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X0 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f475,f479]) ).
thf(f525,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f475,f397]) ).
thf(f526,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ X1 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f524]) ).
thf(f527,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f522]) ).
thf(f528,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ z )
= $true )
| ( ( s @ z )
= X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f525]) ).
thf(f563,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_21
| ~ spl0_29 ),
inference(constrained_superposition,[],[f490,f330]) ).
thf(f566,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_21
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f563]) ).
thf(f567,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_15 ),
inference(avatar_component_clause,[],[f208]) ).
thf(f569,definition,
( spl0_33
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f570,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f569]) ).
thf(f571,plain,
( ~ spl0_15
| spl0_33
| ~ spl0_21
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f566,f329,f272,f569,f208]) ).
thf(f575,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| spl0_15
| ~ spl0_21 ),
inference(constrained_superposition,[],[f567,f441]) ).
thf(f577,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_15
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f575]) ).
thf(f581,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f577,f29]) ).
thf(f584,plain,
( spl0_16
| spl0_31
| spl0_15
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f581,f272,f208,f350,f211]) ).
thf(f585,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f509,f29]) ).
thf(f587,plain,
( spl0_1
| spl0_9
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f585,f315,f170,f72]) ).
thf(f588,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_21 ),
inference(constrained_superposition,[],[f490,f171]) ).
thf(f589,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f26,f171]) ).
thf(f590,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f588]) ).
thf(f591,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f589]) ).
thf(f592,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_1 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f593,plain,
( spl0_31
| ~ spl0_1
| ~ spl0_9
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f590,f272,f170,f72,f350]) ).
thf(f594,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_15
| ~ spl0_21 ),
inference(constrained_superposition,[],[f483,f209]) ).
thf(f595,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_15
| ~ spl0_21 ),
inference(constrained_superposition,[],[f475,f209]) ).
thf(f596,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f26,f209]) ).
thf(f597,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_15
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f595]) ).
thf(f598,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f596]) ).
thf(f599,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_15
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f594]) ).
thf(f603,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_23 ),
inference(constrained_superposition,[],[f467,f209]) ).
thf(f605,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_15
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f603]) ).
thf(f606,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f327,f27]) ).
thf(f613,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f606]) ).
thf(f669,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f613,f27]) ).
thf(f672,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f669]) ).
thf(f680,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_15
| ~ spl0_28 ),
inference(constrained_superposition,[],[f598,f672]) ).
thf(f687,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_15
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f680]) ).
thf(f690,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_15
| ~ spl0_23
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f687,f467]) ).
thf(f693,plain,
( spl0_32
| ~ spl0_15
| ~ spl0_23
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f690,f326,f279,f208,f501]) ).
thf(f702,plain,
( $false
| ~ spl0_15
| ~ spl0_23
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f351,f605]) ).
thf(f703,plain,
( ~ spl0_15
| ~ spl0_23
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f702]) ).
thf(f709,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f26,f351]) ).
thf(f710,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f709]) ).
thf(f1227,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( X2 = X3 )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( r @ X2 @ X3 )
= $true )
| ( X0 = X1 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f40,f27]) ).
thf(f1228,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( X1 = X2 )
| ( ( r @ X1 @ X2 )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(constrained_superposition,[],[f40,f34]) ).
thf(f1235,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ X0 ) @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true ) ),
inference(constrained_superposition,[],[f40,f35]) ).
thf(f1237,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(trivial_inequality_removal,[],[f1228]) ).
thf(f1242,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( X1 = X2 )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1235]) ).
thf(f1244,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( X2 = X3 )
| ( ( r @ X2 @ X3 )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f1227]) ).
thf(f1325,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( X0 = X1 )
| ( X0 = X3 )
| ( ( r @ X2 @ X1 )
= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X3 )
= $true )
| ( X1 = X2 ) ),
inference(constrained_superposition,[],[f1244,f27]) ).
thf(f1335,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( X0 = X1 )
| ( X1 = X2 )
| ( X0 = X3 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X3 )
= $true )
| ( ( r @ X2 @ X1 )
= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1325]) ).
thf(f1482,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X1 = X3 )
| ( X0 = X2 )
| ( ( r @ X1 @ X3 )
= $true )
| ( X0 = X1 )
| ( X1 = X2 )
| ( ( r @ X0 @ X2 )
= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f1335,f27]) ).
thf(f1499,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X3 )
| ( ( r @ X0 @ X2 )
= $true )
| ( X1 = X2 )
| ( ( r @ X1 @ X3 )
= $true )
| ( X0 = X2 ) ),
inference(trivial_inequality_removal,[],[f1482]) ).
thf(f1522,plain,
! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) ),
inference(constrained_superposition,[],[f1237,f55]) ).
thf(f1524,plain,
! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f1237,f140]) ).
thf(f1530,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X1 ) ),
inference(trivial_inequality_removal,[],[f1524]) ).
thf(f1531,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1522]) ).
thf(f1543,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f138,f29]) ).
thf(f1544,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f138,f29]) ).
thf(f1567,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X3 )
= $true )
| ( X2 = X3 )
| ( ( r @ X2 @ X0 )
= $true )
| ( X0 = X2 )
| ( X0 = X1 )
| ( X1 = X3 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X3 @ X0 )
= $true )
| ( $true != $true )
| ( ( r @ X3 @ X1 )
= $true )
| ( X0 = X3 ) ),
inference(constrained_superposition,[],[f1499,f27]) ).
thf(f1582,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X2 @ X0 )
= $true )
| ( X0 = X2 )
| ( X1 = X3 )
| ( X0 = X3 )
| ( X0 = X1 )
| ( ( r @ X3 @ X0 )
= $true )
| ( ( r @ X2 @ X3 )
= $true )
| ( X2 = X3 ) ),
inference(trivial_inequality_removal,[],[f1567]) ).
thf(f1609,plain,
! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 ) ),
inference(constrained_superposition,[],[f1242,f34]) ).
thf(f1626,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f1609]) ).
thf(f1634,plain,
! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) ),
inference(constrained_superposition,[],[f1626,f55]) ).
thf(f1639,plain,
! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f1626,f56]) ).
thf(f1642,plain,
! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1639]) ).
thf(f1644,plain,
! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f1634]) ).
thf(f1648,plain,
! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ),
inference(forward_subsumption_resolution,[],[f1642,f29]) ).
thf(f1653,definition,
( spl0_36
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f1654,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f1653]) ).
thf(f1655,plain,
( ~ spl0_6
| spl0_23
| spl0_36 ),
inference(avatar_split_clause,[],[f1648,f1653,f279,f110]) ).
thf(f1681,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f94,f56]) ).
thf(f1688,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f1681]) ).
thf(f1693,definition,
( spl0_37
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f1694,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f1693]) ).
thf(f1695,plain,
( spl0_37
| ~ spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1688,f75,f82,f1693]) ).
thf(f1702,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_37 ),
inference(constrained_superposition,[],[f26,f1694]) ).
thf(f1709,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f1702]) ).
thf(f1710,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1709,f26]) ).
thf(f1937,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f1237,f1543]) ).
thf(f1940,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f94,f1543]) ).
thf(f1948,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f30,f1543]) ).
thf(f1952,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f1948]) ).
thf(f1954,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1937]) ).
thf(f1959,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f1940]) ).
thf(f1965,definition,
( spl0_38
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f1966,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f1965]) ).
thf(f1973,definition,
( spl0_40
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f1974,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1973]) ).
thf(f1980,definition,
( spl0_42
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f1981,plain,
( ! [X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f1980]) ).
thf(f1983,definition,
( spl0_43
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f1984,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f1983]) ).
thf(f1986,definition,
( spl0_44
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f1987,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_44 ),
inference(avatar_component_clause,[],[f1986]) ).
thf(f1988,plain,
( spl0_42
| spl0_43
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1954,f1986,f1983,f1980]) ).
thf(f1990,definition,
( spl0_45
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f1991,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_45 ),
inference(avatar_component_clause,[],[f1990]) ).
thf(f2001,definition,
( spl0_48
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f2002,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f2001]) ).
thf(f2008,definition,
( spl0_50
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f2009,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f2008]) ).
thf(f2020,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f26,f1974]) ).
thf(f2026,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f2020]) ).
thf(f2028,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_44 ),
inference(constrained_superposition,[],[f1987,f34]) ).
thf(f2030,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_44 ),
inference(trivial_inequality_removal,[],[f2028]) ).
thf(f2032,plain,
( spl0_50
| spl0_44 ),
inference(avatar_split_clause,[],[f2030,f1986,f2008]) ).
thf(f2050,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_45 ),
inference(constrained_superposition,[],[f1991,f36]) ).
thf(f2054,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_45 ),
inference(trivial_inequality_removal,[],[f2050]) ).
thf(f2058,definition,
( spl0_52
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f2059,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f2058]) ).
thf(f2060,plain,
( spl0_16
| spl0_52
| spl0_45 ),
inference(avatar_split_clause,[],[f2054,f1990,f2058,f211]) ).
thf(f2062,definition,
( spl0_53
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f2063,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f2062]) ).
thf(f2087,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_15
| ~ spl0_21
| ~ spl0_48 ),
inference(constrained_superposition,[],[f597,f2002]) ).
thf(f2092,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_37
| ~ spl0_48 ),
inference(constrained_superposition,[],[f1710,f2002]) ).
thf(f2124,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_37
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f2092]) ).
thf(f2127,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_21
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f2087]) ).
thf(f2153,definition,
( spl0_54
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f2154,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f2153]) ).
thf(f2157,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_15
| ~ spl0_21
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2127,f29]) ).
thf(f2165,plain,
( spl0_54
| spl0_50
| ~ spl0_15
| ~ spl0_21
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f2157,f2001,f272,f208,f2008,f2153]) ).
thf(f2173,definition,
( spl0_56
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f2174,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_56 ),
inference(avatar_component_clause,[],[f2173]) ).
thf(f2176,plain,
( ~ spl0_14
| spl0_26
| spl0_25 ),
inference(avatar_split_clause,[],[f430,f315,f318,f187]) ).
thf(f2177,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f26,f2009]) ).
thf(f2178,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f2177]) ).
thf(f2181,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_56 ),
inference(constrained_superposition,[],[f2174,f27]) ).
thf(f2182,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_56 ),
inference(trivial_inequality_removal,[],[f2181]) ).
thf(f2186,definition,
( spl0_57
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f2187,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f2186]) ).
thf(f2188,plain,
( spl0_57
| spl0_54
| spl0_56 ),
inference(avatar_split_clause,[],[f2182,f2173,f2153,f2186]) ).
thf(f2194,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f26,f2187]) ).
thf(f2197,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f2194]) ).
thf(f2208,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_15
| ~ spl0_52 ),
inference(constrained_superposition,[],[f598,f2059]) ).
thf(f2209,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_52 ),
inference(constrained_superposition,[],[f591,f2059]) ).
thf(f2217,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_15
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f2208]) ).
thf(f2221,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_9
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f2209]) ).
thf(f2234,plain,
( $false
| ~ spl0_15
| ~ spl0_52
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f2217,f2187]) ).
thf(f2235,plain,
( ~ spl0_15
| ~ spl0_52
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f2234]) ).
thf(f2236,plain,
( $false
| ~ spl0_9
| ~ spl0_50
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f2221,f2009]) ).
thf(f2237,plain,
( ~ spl0_9
| ~ spl0_50
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f2236]) ).
thf(f2239,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_40
| ~ spl0_48 ),
inference(constrained_superposition,[],[f2026,f2002]) ).
thf(f2245,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_40
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f2239]) ).
thf(f2248,plain,
( $false
| ~ spl0_31
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2245,f351]) ).
thf(f2249,plain,
( ~ spl0_31
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2248]) ).
thf(f2250,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_15
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2124,f209]) ).
thf(f2251,plain,
( spl0_40
| ~ spl0_15
| ~ spl0_37
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f2250,f2001,f1693,f208,f1973]) ).
thf(f2299,definition,
( spl0_58
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f2300,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_58 ),
inference(avatar_component_clause,[],[f2299]) ).
thf(f2309,definition,
( spl0_61
<=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
thf(f2310,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_61 ),
inference(avatar_component_clause,[],[f2309]) ).
thf(f2313,definition,
( spl0_62
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
thf(f2314,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_62 ),
inference(avatar_component_clause,[],[f2313]) ).
thf(f2319,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_61 ),
inference(constrained_superposition,[],[f2310,f35]) ).
thf(f2322,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_61 ),
inference(trivial_inequality_removal,[],[f2319]) ).
thf(f2324,plain,
( spl0_40
| spl0_61 ),
inference(avatar_split_clause,[],[f2322,f2309,f1973]) ).
thf(f2328,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f26,f1974]) ).
thf(f2332,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f2328]) ).
thf(f2333,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_58 ),
inference(constrained_superposition,[],[f2300,f56]) ).
thf(f2335,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_58 ),
inference(constrained_superposition,[],[f2300,f27]) ).
thf(f2336,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_58 ),
inference(trivial_inequality_removal,[],[f2335]) ).
thf(f2337,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_58 ),
inference(trivial_inequality_removal,[],[f2333]) ).
thf(f2341,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_62 ),
inference(constrained_superposition,[],[f2314,f36]) ).
thf(f2342,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_62 ),
inference(constrained_superposition,[],[f2314,f27]) ).
thf(f2343,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_62 ),
inference(trivial_inequality_removal,[],[f2342]) ).
thf(f2346,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_62 ),
inference(trivial_inequality_removal,[],[f2341]) ).
thf(f2347,plain,
( spl0_53
| spl0_48
| spl0_62 ),
inference(avatar_split_clause,[],[f2343,f2313,f2001,f2062]) ).
thf(f2350,plain,
( spl0_16
| spl0_48
| spl0_62 ),
inference(avatar_split_clause,[],[f2346,f2313,f2001,f211]) ).
thf(f2370,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_50 ),
inference(constrained_superposition,[],[f2178,f319]) ).
thf(f2376,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f26,f319]) ).
thf(f2385,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f2376]) ).
thf(f2393,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f2370]) ).
thf(f2413,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_40 ),
inference(constrained_superposition,[],[f2385,f1974]) ).
thf(f2415,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f2413]) ).
thf(f2539,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f312,f1544]) ).
thf(f2541,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f126,f1544]) ).
thf(f2543,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) ),
inference(constrained_superposition,[],[f49,f1544]) ).
thf(f2548,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f30,f1544]) ).
thf(f2555,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f2548]) ).
thf(f2556,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f2541]) ).
thf(f2559,plain,
! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f2543]) ).
thf(f2563,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f2539]) ).
thf(f2573,definition,
( spl0_66
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f2574,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f2573]) ).
thf(f2576,definition,
( spl0_67
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
thf(f2577,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f2576]) ).
thf(f2578,plain,
( spl0_66
| ~ spl0_62
| spl0_67 ),
inference(avatar_split_clause,[],[f2563,f2576,f2313,f2573]) ).
thf(f2593,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f2555,f141]) ).
thf(f2594,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f2555,f56]) ).
thf(f2595,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f2555,f35]) ).
thf(f2597,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f2595]) ).
thf(f2600,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f2594]) ).
thf(f2601,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f2593]) ).
thf(f2606,definition,
( spl0_68
<=> ! [X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f2607,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f2606]) ).
thf(f2609,definition,
( spl0_69
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f2610,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f2609]) ).
thf(f2611,plain,
( spl0_68
| ~ spl0_44
| spl0_69 ),
inference(avatar_split_clause,[],[f2597,f2609,f1986,f2606]) ).
thf(f2612,plain,
( spl0_66
| spl0_67
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f2601,f1990,f2576,f2573]) ).
thf(f2613,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f2607,f27]) ).
thf(f2617,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f2607,f1543]) ).
thf(f2619,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f2607,f56]) ).
thf(f2621,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f2619]) ).
thf(f2623,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f2613]) ).
thf(f2628,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f2617]) ).
thf(f2629,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f2628,f34]) ).
thf(f2631,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f2629]) ).
thf(f2633,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f2623,f27]) ).
thf(f2636,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f2633]) ).
thf(f2655,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_21
| ~ spl0_68 ),
inference(constrained_superposition,[],[f528,f2636]) ).
thf(f2675,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_21
| ~ spl0_68 ),
inference(duplicate_literal_removal,[],[f2655]) ).
thf(f2676,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_21
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f2675]) ).
thf(f2920,plain,
( ( ( s @ z )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_54 ),
inference(avatar_component_clause,[],[f2153]) ).
thf(f2934,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_54 ),
inference(extensionality_resolution,[],[f138,f2920]) ).
thf(f2935,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_54 ),
inference(extensionality_resolution,[],[f138,f2920]) ).
thf(f2948,definition,
( spl0_71
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f2949,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f2948]) ).
thf(f2951,definition,
( spl0_72
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
thf(f2952,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f2951]) ).
thf(f2953,plain,
( spl0_71
| spl0_72
| spl0_54 ),
inference(avatar_split_clause,[],[f2935,f2153,f2951,f2948]) ).
thf(f2955,definition,
( spl0_73
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f2956,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f2955]) ).
thf(f2958,definition,
( spl0_74
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f2959,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f2958]) ).
thf(f2960,plain,
( spl0_73
| spl0_74
| spl0_54 ),
inference(avatar_split_clause,[],[f2934,f2153,f2958,f2955]) ).
thf(f2970,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_71 ),
inference(constrained_superposition,[],[f94,f2949]) ).
thf(f2979,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f2970]) ).
thf(f2997,definition,
( spl0_75
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
thf(f2998,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| spl0_75 ),
inference(avatar_component_clause,[],[f2997]) ).
thf(f3000,definition,
( spl0_76
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
thf(f3001,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f3000]) ).
thf(f3003,definition,
( spl0_77
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
thf(f3004,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f3003]) ).
thf(f3005,plain,
( ~ spl0_75
| spl0_76
| spl0_77
| ~ spl0_2
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f2979,f2948,f75,f3003,f3000,f2997]) ).
thf(f3010,definition,
( spl0_79
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f3011,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f3010]) ).
thf(f3021,definition,
( spl0_82
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
thf(f3022,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f3021]) ).
thf(f3024,definition,
( spl0_83
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f3025,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| spl0_83 ),
inference(avatar_component_clause,[],[f3024]) ).
thf(f3027,definition,
( spl0_84
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
thf(f3028,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f3027]) ).
thf(f3031,definition,
( spl0_85
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
thf(f3032,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f3031]) ).
thf(f3034,definition,
( spl0_86
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
thf(f3035,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f3034]) ).
thf(f3037,definition,
( spl0_87
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
thf(f3038,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_87 ),
inference(avatar_component_clause,[],[f3037]) ).
thf(f3041,definition,
( spl0_88
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
thf(f3042,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_88 ),
inference(avatar_component_clause,[],[f3041]) ).
thf(f3044,definition,
( spl0_89
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
thf(f3045,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f3044]) ).
thf(f3048,definition,
( spl0_90
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
thf(f3049,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f3048]) ).
thf(f3051,definition,
( spl0_91
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
thf(f3052,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| spl0_91 ),
inference(avatar_component_clause,[],[f3051]) ).
thf(f3055,definition,
( spl0_92
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
thf(f3056,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f3055]) ).
thf(f3058,definition,
( spl0_93
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
thf(f3059,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f3058]) ).
thf(f3061,definition,
( spl0_94
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
thf(f3062,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| spl0_94 ),
inference(avatar_component_clause,[],[f3061]) ).
thf(f3065,definition,
( spl0_95
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
thf(f3066,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_95 ),
inference(avatar_component_clause,[],[f3065]) ).
thf(f3068,definition,
( spl0_96
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
thf(f3069,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f3068]) ).
thf(f3128,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f141,f2154]) ).
thf(f3279,definition,
( spl0_98
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
thf(f3280,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f3279]) ).
thf(f3282,definition,
( spl0_99
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
thf(f3283,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_99 ),
inference(avatar_component_clause,[],[f3282]) ).
thf(f3291,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f3128,f28]) ).
thf(f3327,plain,
( $false
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f3291,f31]) ).
thf(f3328,plain,
~ spl0_54,
inference(avatar_contradiction_clause,[],[f3327]) ).
thf(f3346,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true ) )
| spl0_54 ),
inference(extensionality_resolution,[],[f1242,f2920]) ).
thf(f3347,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| spl0_54 ),
inference(extensionality_resolution,[],[f1242,f2920]) ).
thf(f3350,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| spl0_54 ),
inference(extensionality_resolution,[],[f1237,f2920]) ).
thf(f3351,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_54 ),
inference(extensionality_resolution,[],[f1237,f2920]) ).
thf(f3375,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_72 ),
inference(constrained_superposition,[],[f2385,f2952]) ).
thf(f3377,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_21
| ~ spl0_72 ),
inference(constrained_superposition,[],[f490,f2952]) ).
thf(f3380,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_21
| ~ spl0_72 ),
inference(constrained_superposition,[],[f527,f2952]) ).
thf(f3382,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_21
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f3380]) ).
thf(f3388,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f3375]) ).
thf(f3393,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_21
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f3377]) ).
thf(f3402,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_89 ),
inference(avatar_component_clause,[],[f3044]) ).
thf(f3406,definition,
( spl0_102
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
thf(f3407,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f3406]) ).
thf(f3408,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_96 ),
inference(avatar_component_clause,[],[f3068]) ).
thf(f3409,plain,
( spl0_102
| ~ spl0_96
| ~ spl0_26
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f3388,f2951,f318,f3068,f3406]) ).
thf(f3410,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_54
| spl0_58 ),
inference(forward_subsumption_resolution,[],[f2336,f2920]) ).
thf(f3418,definition,
( spl0_103
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
thf(f3419,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f3418]) ).
thf(f3420,plain,
( spl0_103
| spl0_38
| ~ spl0_6
| spl0_54 ),
inference(avatar_split_clause,[],[f3346,f2153,f110,f1965,f3418]) ).
thf(f3421,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_31
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2393,f351]) ).
thf(f3426,definition,
( spl0_104
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
thf(f3427,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f3426]) ).
thf(f3429,definition,
( spl0_105
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
thf(f3430,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f3429]) ).
thf(f3432,definition,
( spl0_106
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
thf(f3433,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f3432]) ).
thf(f3435,definition,
( spl0_107
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
thf(f3436,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f3435]) ).
thf(f3439,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_9
| ~ spl0_26
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f2415,f171]) ).
thf(f3440,plain,
( spl0_38
| spl0_58 ),
inference(avatar_split_clause,[],[f2337,f2299,f1965]) ).
thf(f3443,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_21
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f3382,f29]) ).
thf(f3444,plain,
( ~ spl0_89
| spl0_106
| ~ spl0_21
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f3393,f2951,f272,f3432,f3044]) ).
thf(f3445,plain,
( spl0_38
| ~ spl0_4
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f2621,f2606,f82,f1965]) ).
thf(f3447,plain,
( spl0_38
| spl0_54
| spl0_58 ),
inference(avatar_split_clause,[],[f3410,f2299,f2153,f1965]) ).
thf(f3457,plain,
( spl0_38
| ~ spl0_26
| ~ spl0_31
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f3421,f2008,f350,f318,f1965]) ).
thf(f3462,plain,
( spl0_38
| ~ spl0_9
| ~ spl0_26
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f3439,f1973,f318,f170,f1965]) ).
thf(f3463,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_21
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f3443,f29]) ).
thf(f3471,plain,
( spl0_105
| spl0_107
| spl0_104
| spl0_106
| ~ spl0_21
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f3463,f2951,f272,f3432,f3426,f3435,f3429]) ).
thf(f3472,plain,
( spl0_43
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f2631,f2606,f1983]) ).
thf(f3477,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f26,f1966]) ).
thf(f3480,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f3477]) ).
thf(f3487,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_88 ),
inference(constrained_superposition,[],[f3042,f55]) ).
thf(f3492,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_88 ),
inference(trivial_inequality_removal,[],[f3487]) ).
thf(f3495,plain,
( spl0_77
| spl0_88 ),
inference(avatar_split_clause,[],[f3492,f3041,f3003]) ).
thf(f3499,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f26,f3004]) ).
thf(f3501,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f3499]) ).
thf(f3504,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_75 ),
inference(constrained_superposition,[],[f2998,f34]) ).
thf(f3507,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_75 ),
inference(trivial_inequality_removal,[],[f3504]) ).
thf(f3509,plain,
( spl0_105
| spl0_75 ),
inference(avatar_split_clause,[],[f3507,f2997,f3429]) ).
thf(f3510,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_91 ),
inference(constrained_superposition,[],[f3052,f35]) ).
thf(f3512,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_91 ),
inference(trivial_inequality_removal,[],[f3510]) ).
thf(f3514,plain,
( spl0_79
| spl0_91 ),
inference(avatar_split_clause,[],[f3512,f3051,f3010]) ).
thf(f3518,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f26,f3011]) ).
thf(f3519,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f3518]) ).
thf(f3525,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_95 ),
inference(constrained_superposition,[],[f3066,f36]) ).
thf(f3528,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_95 ),
inference(trivial_inequality_removal,[],[f3525]) ).
thf(f3532,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_54
| spl0_95 ),
inference(forward_subsumption_resolution,[],[f3528,f2920]) ).
thf(f3534,definition,
( spl0_110
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
thf(f3535,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f3534]) ).
thf(f3537,definition,
( spl0_111
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
thf(f3538,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f3537]) ).
thf(f3541,plain,
( spl0_111
| spl0_54
| spl0_95 ),
inference(avatar_split_clause,[],[f3532,f3065,f2153,f3537]) ).
thf(f3555,definition,
( spl0_112
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
thf(f3556,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f3555]) ).
thf(f3559,definition,
( spl0_113
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
thf(f3560,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f3559]) ).
thf(f3570,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_21
| spl0_89 ),
inference(constrained_superposition,[],[f3402,f441]) ).
thf(f3573,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_21
| spl0_89 ),
inference(trivial_inequality_removal,[],[f3570]) ).
thf(f3644,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f1543,f3436]) ).
thf(f3775,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f3644,f28]) ).
thf(f3818,plain,
( $false
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f3775,f31]) ).
thf(f3819,plain,
~ spl0_107,
inference(avatar_contradiction_clause,[],[f3818]) ).
thf(f3850,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_50
| ~ spl0_112 ),
inference(constrained_superposition,[],[f2178,f3556]) ).
thf(f3853,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_112 ),
inference(constrained_superposition,[],[f490,f3556]) ).
thf(f3856,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_21
| ~ spl0_112 ),
inference(constrained_superposition,[],[f527,f3556]) ).
thf(f3861,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_21
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f3853]) ).
thf(f3869,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_50
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f3850]) ).
thf(f3870,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_21
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f3856]) ).
thf(f3876,plain,
( $false
| ~ spl0_50
| ~ spl0_106
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f3869,f3433]) ).
thf(f3877,plain,
( ~ spl0_50
| ~ spl0_106
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f3876]) ).
thf(f3889,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_21
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f2676,f29]) ).
thf(f3896,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_21
| ~ spl0_77
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f3861,f3004]) ).
thf(f3898,definition,
( spl0_118
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
thf(f3899,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f3898]) ).
thf(f3909,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_21
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f3889,f29]) ).
thf(f3916,plain,
( spl0_50
| ~ spl0_21
| ~ spl0_77
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f3896,f3555,f3003,f272,f2008]) ).
thf(f3924,definition,
( spl0_121
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
thf(f3925,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f3924]) ).
thf(f3927,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_21
| spl0_54
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f3909,f2920]) ).
thf(f3938,plain,
( spl0_50
| spl0_121
| ~ spl0_21
| spl0_54
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f3927,f2606,f2153,f272,f3924,f2008]) ).
thf(f3943,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_21
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f3870,f29]) ).
thf(f3955,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_21
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f3943,f29]) ).
thf(f3966,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_21
| spl0_54
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f3955,f2920]) ).
thf(f3973,plain,
( spl0_106
| spl0_50
| spl0_104
| ~ spl0_21
| spl0_54
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f3966,f3555,f2153,f272,f3426,f2008,f3432]) ).
thf(f4002,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_38
| ~ spl0_112 ),
inference(constrained_superposition,[],[f3480,f3556]) ).
thf(f4005,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z = X0 ) )
| ~ spl0_38
| ~ spl0_68 ),
inference(constrained_superposition,[],[f3480,f2636]) ).
thf(f4008,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f4005]) ).
thf(f4014,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_38
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f4002]) ).
thf(f4017,plain,
( spl0_118
| ~ spl0_38
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f4008,f2606,f1965,f3898]) ).
thf(f4018,plain,
( $false
| ~ spl0_38
| ~ spl0_77
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f4014,f3004]) ).
thf(f4019,plain,
( ~ spl0_38
| ~ spl0_77
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f4018]) ).
thf(f4021,definition,
( spl0_123
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
thf(f4022,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f4021]) ).
thf(f4024,definition,
( spl0_124
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
thf(f4025,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f4024]) ).
thf(f4026,plain,
( spl0_123
| spl0_124
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f2556,f2299,f4024,f4021]) ).
thf(f4056,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_57
| ~ spl0_112 ),
inference(constrained_superposition,[],[f2197,f3556]) ).
thf(f4063,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_57
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f4056]) ).
thf(f4064,plain,
( $false
| ~ spl0_57
| ~ spl0_77
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f4063,f3004]) ).
thf(f4065,plain,
( ~ spl0_57
| ~ spl0_77
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f4064]) ).
thf(f4070,plain,
( spl0_123
| ~ spl0_56
| spl0_124 ),
inference(avatar_split_clause,[],[f2600,f4024,f2173,f4021]) ).
thf(f4081,definition,
( spl0_126
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
thf(f4082,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f4081]) ).
thf(f4084,definition,
( spl0_127
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
thf(f4085,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f4084]) ).
thf(f4088,definition,
( spl0_128
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
thf(f4089,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f4088]) ).
thf(f4101,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_15
| ~ spl0_96 ),
inference(constrained_superposition,[],[f598,f3069]) ).
thf(f4102,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_96 ),
inference(constrained_superposition,[],[f591,f3069]) ).
thf(f4110,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_9
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f4102]) ).
thf(f4115,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_15
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f4101]) ).
thf(f4126,plain,
( $false
| ~ spl0_9
| ~ spl0_96
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f4110,f3430]) ).
thf(f4127,plain,
( ~ spl0_9
| ~ spl0_96
| ~ spl0_105 ),
inference(avatar_contradiction_clause,[],[f4126]) ).
thf(f4131,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_21
| spl0_89 ),
inference(forward_subsumption_resolution,[],[f3573,f29]) ).
thf(f4132,plain,
( spl0_107
| spl0_105
| ~ spl0_21
| spl0_89 ),
inference(avatar_split_clause,[],[f4131,f3044,f272,f3429,f3435]) ).
thf(f4133,plain,
( ~ spl0_89
| ~ spl0_15
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f4115,f3068,f208,f3044]) ).
thf(f4137,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_89 ),
inference(constrained_superposition,[],[f26,f3045]) ).
thf(f4139,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f4137]) ).
thf(f4162,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_128 ),
inference(constrained_superposition,[],[f140,f4089]) ).
thf(f4291,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f4162,f31]) ).
thf(f4300,plain,
( $false
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f4291,f28]) ).
thf(f4301,plain,
~ spl0_128,
inference(avatar_contradiction_clause,[],[f4300]) ).
thf(f4303,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_15
| ~ spl0_21
| ~ spl0_127 ),
inference(constrained_superposition,[],[f599,f4085]) ).
thf(f4325,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_15
| ~ spl0_21
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f4303]) ).
thf(f4339,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_15
| ~ spl0_21
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f4325,f29]) ).
thf(f4343,plain,
( spl0_105
| ~ spl0_15
| ~ spl0_21
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f4339,f4084,f272,f208,f3429]) ).
thf(f4350,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_83 ),
inference(constrained_superposition,[],[f3025,f57]) ).
thf(f4353,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_83 ),
inference(trivial_inequality_removal,[],[f4350]) ).
thf(f4359,definition,
( spl0_130
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
thf(f4360,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f4359]) ).
thf(f4361,plain,
( spl0_130
| spl0_104
| spl0_83 ),
inference(avatar_split_clause,[],[f4353,f3024,f3426,f4359]) ).
thf(f4365,definition,
( spl0_131
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
thf(f4366,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f4365]) ).
thf(f4369,definition,
( spl0_132
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f4370,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f4369]) ).
thf(f4420,definition,
( spl0_133
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
thf(f4421,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_133 ),
inference(avatar_component_clause,[],[f4420]) ).
thf(f4431,definition,
( spl0_135
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
thf(f4432,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f4431]) ).
thf(f4434,definition,
( spl0_136
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
thf(f4435,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| spl0_136 ),
inference(avatar_component_clause,[],[f4434]) ).
thf(f4438,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_133 ),
inference(constrained_superposition,[],[f4421,f34]) ).
thf(f4441,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_133 ),
inference(trivial_inequality_removal,[],[f4438]) ).
thf(f4448,plain,
( spl0_106
| spl0_133 ),
inference(avatar_split_clause,[],[f4441,f4420,f3432]) ).
thf(f4450,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_106 ),
inference(constrained_superposition,[],[f26,f3433]) ).
thf(f4451,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f4450]) ).
thf(f4453,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_136 ),
inference(constrained_superposition,[],[f4435,f36]) ).
thf(f4457,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_136 ),
inference(trivial_inequality_removal,[],[f4453]) ).
thf(f4459,definition,
( spl0_137
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
thf(f4460,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f4459]) ).
thf(f4462,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_136 ),
inference(forward_subsumption_resolution,[],[f4457,f29]) ).
thf(f4463,plain,
( spl0_137
| spl0_136 ),
inference(avatar_split_clause,[],[f4462,f4434,f4459]) ).
thf(f4512,definition,
( spl0_138
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
thf(f4513,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_138 ),
inference(avatar_component_clause,[],[f4512]) ).
thf(f4527,definition,
( spl0_142
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
thf(f4528,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_142 ),
inference(avatar_component_clause,[],[f4527]) ).
thf(f4530,definition,
( spl0_143
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f4531,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f4530]) ).
thf(f4534,definition,
( spl0_144
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
thf(f4535,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_144 ),
inference(avatar_component_clause,[],[f4534]) ).
thf(f4547,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_99 ),
inference(constrained_superposition,[],[f3283,f36]) ).
thf(f4550,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_99 ),
inference(trivial_inequality_removal,[],[f4547]) ).
thf(f4554,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_54
| spl0_99 ),
inference(forward_subsumption_resolution,[],[f4550,f2920]) ).
thf(f4557,plain,
( spl0_93
| spl0_54
| spl0_99 ),
inference(avatar_split_clause,[],[f4554,f3282,f2153,f3058]) ).
thf(f4560,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_142 ),
inference(constrained_superposition,[],[f4528,f57]) ).
thf(f4567,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_142 ),
inference(trivial_inequality_removal,[],[f4560]) ).
thf(f4572,plain,
( spl0_16
| spl0_84
| spl0_142 ),
inference(avatar_split_clause,[],[f4567,f4527,f3027,f211]) ).
thf(f4577,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_71
| ~ spl0_98 ),
inference(constrained_superposition,[],[f3280,f2949]) ).
thf(f4578,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_98 ),
inference(constrained_superposition,[],[f3280,f1544]) ).
thf(f4582,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_71
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f4577]) ).
thf(f4590,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f4578]) ).
thf(f4591,plain,
( ~ spl0_138
| ~ spl0_71
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f4582,f3279,f2948,f4512]) ).
thf(f4592,plain,
( spl0_84
| ~ spl0_45
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f4590,f3279,f1990,f3027]) ).
thf(f4602,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_106 ),
inference(constrained_superposition,[],[f4451,f3028]) ).
thf(f4618,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_84
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f4602]) ).
thf(f4628,plain,
( $false
| ~ spl0_50
| ~ spl0_84
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f4618,f2009]) ).
thf(f4629,plain,
( ~ spl0_50
| ~ spl0_84
| ~ spl0_106 ),
inference(avatar_contradiction_clause,[],[f4628]) ).
thf(f4653,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_93
| ~ spl0_106 ),
inference(constrained_superposition,[],[f4451,f3059]) ).
thf(f4654,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_77
| ~ spl0_93 ),
inference(constrained_superposition,[],[f3501,f3059]) ).
thf(f4671,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_77
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f4654]) ).
thf(f4673,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_93
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f4653]) ).
thf(f4681,plain,
( $false
| ~ spl0_15
| ~ spl0_77
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f4671,f209]) ).
thf(f4682,plain,
( ~ spl0_15
| ~ spl0_77
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f4681]) ).
thf(f4683,plain,
( $false
| ~ spl0_31
| ~ spl0_93
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f4673,f351]) ).
thf(f4684,plain,
( ~ spl0_31
| ~ spl0_93
| ~ spl0_106 ),
inference(avatar_contradiction_clause,[],[f4683]) ).
thf(f4685,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_138 ),
inference(constrained_superposition,[],[f4513,f140]) ).
thf(f4687,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_138 ),
inference(constrained_superposition,[],[f4513,f36]) ).
thf(f4690,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_138 ),
inference(trivial_inequality_removal,[],[f4685]) ).
thf(f4692,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_138 ),
inference(trivial_inequality_removal,[],[f4687]) ).
thf(f4694,plain,
( $false
| spl0_96
| spl0_138 ),
inference(forward_subsumption_resolution,[],[f4690,f3408]) ).
thf(f4695,plain,
( spl0_96
| spl0_138 ),
inference(avatar_contradiction_clause,[],[f4694]) ).
thf(f4697,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_96
| spl0_138 ),
inference(forward_subsumption_resolution,[],[f4692,f3408]) ).
thf(f4701,plain,
( spl0_126
| spl0_96
| spl0_138 ),
inference(avatar_split_clause,[],[f4697,f4512,f3068,f4081]) ).
thf(f4711,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_79 ),
inference(constrained_superposition,[],[f3519,f2959]) ).
thf(f4712,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_37
| ~ spl0_74 ),
inference(constrained_superposition,[],[f1710,f2959]) ).
thf(f4713,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_21
| ~ spl0_74 ),
inference(constrained_superposition,[],[f490,f2959]) ).
thf(f4721,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_37
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f4712]) ).
thf(f4731,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_21
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f4713]) ).
thf(f4733,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_74
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f4711]) ).
thf(f4735,plain,
( $false
| ~ spl0_74
| ~ spl0_79
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f4733,f3433]) ).
thf(f4736,plain,
( ~ spl0_74
| ~ spl0_79
| ~ spl0_106 ),
inference(avatar_contradiction_clause,[],[f4735]) ).
thf(f4738,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_77 ),
inference(avatar_component_clause,[],[f3003]) ).
thf(f4739,plain,
( ~ spl0_77
| spl0_105
| ~ spl0_21
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f4731,f2958,f272,f3429,f3003]) ).
thf(f4741,plain,
( spl0_79
| ~ spl0_77
| ~ spl0_37
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f4721,f2958,f1693,f3003,f3010]) ).
thf(f4742,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_37
| spl0_77 ),
inference(constrained_superposition,[],[f4738,f1694]) ).
thf(f4750,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_37
| spl0_77 ),
inference(trivial_inequality_removal,[],[f4742]) ).
thf(f4795,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_104 ),
inference(constrained_superposition,[],[f55,f3427]) ).
thf(f4930,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f4795,f31]) ).
thf(f4961,plain,
( $false
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f4930,f28]) ).
thf(f4962,plain,
~ spl0_104,
inference(avatar_contradiction_clause,[],[f4961]) ).
thf(f4985,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_71
| ~ spl0_143 ),
inference(constrained_superposition,[],[f4531,f2949]) ).
thf(f4987,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f4531,f141]) ).
thf(f4988,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f4531,f56]) ).
thf(f4990,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f4987]) ).
thf(f4991,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f4988]) ).
thf(f4995,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_71
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f4985]) ).
thf(f4999,plain,
( ~ spl0_62
| spl0_93
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f4990,f4530,f3058,f2313]) ).
thf(f5000,plain,
( ~ spl0_58
| spl0_102
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f4991,f4530,f3406,f2299]) ).
thf(f5001,plain,
( ~ spl0_144
| ~ spl0_71
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f4995,f4530,f2948,f4534]) ).
thf(f5014,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_92 ),
inference(constrained_superposition,[],[f3056,f1544]) ).
thf(f5017,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_92 ),
inference(constrained_superposition,[],[f3056,f35]) ).
thf(f5020,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_92 ),
inference(trivial_inequality_removal,[],[f5014]) ).
thf(f5021,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_92 ),
inference(trivial_inequality_removal,[],[f5017]) ).
thf(f5026,plain,
( ~ spl0_45
| spl0_130
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f5020,f3055,f4359,f1990]) ).
thf(f5036,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_89
| ~ spl0_130 ),
inference(constrained_superposition,[],[f4139,f4360]) ).
thf(f5037,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_37
| ~ spl0_130 ),
inference(constrained_superposition,[],[f1710,f4360]) ).
thf(f5038,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_130 ),
inference(constrained_superposition,[],[f490,f4360]) ).
thf(f5042,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_130 ),
inference(constrained_superposition,[],[f26,f4360]) ).
thf(f5043,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_21
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f5038]) ).
thf(f5045,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f5042]) ).
thf(f5047,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_89
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f5036]) ).
thf(f5056,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_37
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f5037]) ).
thf(f5059,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_57 ),
inference(avatar_component_clause,[],[f2186]) ).
thf(f5060,plain,
( spl0_105
| ~ spl0_57
| ~ spl0_21
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f5043,f4359,f272,f2186,f3429]) ).
thf(f5061,plain,
( ~ spl0_57
| ~ spl0_89
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f5047,f4359,f3044,f2186]) ).
thf(f5062,plain,
( ~ spl0_57
| spl0_79
| ~ spl0_37
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f5056,f4359,f1693,f3010,f2186]) ).
thf(f5065,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_21
| spl0_57 ),
inference(constrained_superposition,[],[f5059,f440]) ).
thf(f5073,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_21
| spl0_57 ),
inference(trivial_inequality_removal,[],[f5065]) ).
thf(f5083,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f3022,f141]) ).
thf(f5090,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f5083]) ).
thf(f5094,plain,
( spl0_127
| ~ spl0_62
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f5090,f3021,f2313,f4084]) ).
thf(f5105,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_130
| ~ spl0_137 ),
inference(constrained_superposition,[],[f5045,f4460]) ).
thf(f5108,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_36
| ~ spl0_130 ),
inference(constrained_superposition,[],[f5045,f1654]) ).
thf(f5110,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_36
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f5108]) ).
thf(f5112,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_130
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f5105]) ).
thf(f5115,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_38 ),
inference(avatar_component_clause,[],[f1965]) ).
thf(f5116,plain,
( ~ spl0_38
| spl0_79
| spl0_105
| ~ spl0_36
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f5110,f4359,f1653,f3429,f3010,f1965]) ).
thf(f5117,plain,
( ~ spl0_38
| ~ spl0_130
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f5112,f4459,f4359,f1965]) ).
thf(f5146,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f1543,f3560]) ).
thf(f5273,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f5146,f28]) ).
thf(f5280,plain,
( $false
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f5273,f31]) ).
thf(f5281,plain,
~ spl0_113,
inference(avatar_contradiction_clause,[],[f5280]) ).
thf(f5301,definition,
( spl0_147
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
thf(f5302,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_147 ),
inference(avatar_component_clause,[],[f5301]) ).
thf(f5327,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_111 ),
inference(constrained_superposition,[],[f591,f3538]) ).
thf(f5349,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_9
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f5327]) ).
thf(f5351,plain,
( $false
| ~ spl0_9
| ~ spl0_106
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f5349,f3433]) ).
thf(f5352,plain,
( ~ spl0_9
| ~ spl0_106
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f5351]) ).
thf(f5357,plain,
( ~ spl0_20
| spl0_79
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f5021,f3055,f3010,f253]) ).
thf(f5359,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_31
| ~ spl0_111 ),
inference(constrained_superposition,[],[f710,f3538]) ).
thf(f5363,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_31
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f5359]) ).
thf(f5366,plain,
( $false
| ~ spl0_31
| ~ spl0_106
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f5363,f3433]) ).
thf(f5367,plain,
( ~ spl0_31
| ~ spl0_106
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f5366]) ).
thf(f5415,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_106 ),
inference(constrained_superposition,[],[f4451,f2952]) ).
thf(f5416,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_37
| ~ spl0_72 ),
inference(constrained_superposition,[],[f1710,f2952]) ).
thf(f5435,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_72
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f5415]) ).
thf(f5437,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_37
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f5416]) ).
thf(f5449,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_102 ),
inference(avatar_component_clause,[],[f3406]) ).
thf(f5502,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_33
| ~ spl0_72
| ~ spl0_106 ),
inference(constrained_superposition,[],[f5435,f570]) ).
thf(f5505,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_33
| ~ spl0_72
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f5502]) ).
thf(f5507,plain,
( spl0_79
| ~ spl0_33
| ~ spl0_72
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f5505,f3432,f2951,f569,f3010]) ).
thf(f5508,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f327,f27]) ).
thf(f5518,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f5508]) ).
thf(f5525,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f5518,f27]) ).
thf(f5528,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f5525]) ).
thf(f5531,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_28
| ~ spl0_37 ),
inference(constrained_superposition,[],[f1710,f5528]) ).
thf(f5537,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_28
| spl0_96 ),
inference(constrained_superposition,[],[f3408,f5528]) ).
thf(f5562,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_28
| spl0_96 ),
inference(trivial_inequality_removal,[],[f5537]) ).
thf(f5569,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_28
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f5531]) ).
thf(f5576,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_28
| spl0_96 ),
inference(forward_subsumption_resolution,[],[f5562,f29]) ).
thf(f5578,definition,
( spl0_151
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
thf(f5579,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f5578]) ).
thf(f5580,plain,
( spl0_9
| spl0_151
| ~ spl0_28
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f5569,f1693,f326,f5578,f170]) ).
thf(f5581,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_28
| ~ spl0_72
| spl0_96
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f5576,f5435]) ).
thf(f5582,plain,
( spl0_128
| ~ spl0_28
| ~ spl0_72
| spl0_96
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f5581,f3432,f3068,f2951,f326,f4088]) ).
thf(f5584,definition,
( spl0_152
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f5585,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f5584]) ).
thf(f5587,definition,
( spl0_153
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( b @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
thf(f5588,plain,
( ! [X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f5587]) ).
thf(f5589,plain,
( ~ spl0_11
| spl0_152
| spl0_153 ),
inference(avatar_split_clause,[],[f1530,f5587,f5584,f177]) ).
thf(f5633,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_52 ),
inference(constrained_superposition,[],[f527,f2059]) ).
thf(f5650,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_21
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f5633]) ).
thf(f5663,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_79
| ~ spl0_130 ),
inference(constrained_superposition,[],[f5045,f3011]) ).
thf(f5664,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_79
| ~ spl0_89 ),
inference(constrained_superposition,[],[f4139,f3011]) ).
thf(f5666,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f26,f3011]) ).
thf(f5667,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_79
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f5663]) ).
thf(f5668,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f5666]) ).
thf(f5669,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_79
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f5664]) ).
thf(f5671,plain,
( $false
| ~ spl0_40
| ~ spl0_79
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f5667,f1974]) ).
thf(f5672,plain,
( ~ spl0_40
| ~ spl0_79
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f5671]) ).
thf(f5676,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f26,f3407]) ).
thf(f5679,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f5676]) ).
thf(f5696,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_93
| ~ spl0_106 ),
inference(constrained_superposition,[],[f4451,f3059]) ).
thf(f5697,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_37
| ~ spl0_93 ),
inference(constrained_superposition,[],[f1710,f3059]) ).
thf(f5702,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_93 ),
inference(constrained_superposition,[],[f26,f3059]) ).
thf(f5711,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_37
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f5697]) ).
thf(f5716,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f5702]) ).
thf(f5721,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_93
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f5696]) ).
thf(f5735,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f26,f570]) ).
thf(f5736,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f5735]) ).
thf(f5738,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f5736,f26]) ).
thf(f5757,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_102 ),
inference(constrained_superposition,[],[f5679,f2952]) ).
thf(f5758,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_93
| ~ spl0_102 ),
inference(constrained_superposition,[],[f5679,f3059]) ).
thf(f5766,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_72
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f5757]) ).
thf(f5768,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_93
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f5758]) ).
thf(f5769,plain,
( $false
| ~ spl0_72
| ~ spl0_89
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f5766,f3045]) ).
thf(f5770,plain,
( ~ spl0_72
| ~ spl0_89
| ~ spl0_102 ),
inference(avatar_contradiction_clause,[],[f5769]) ).
thf(f5771,plain,
( $false
| ~ spl0_15
| ~ spl0_93
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f5768,f209]) ).
thf(f5772,plain,
( ~ spl0_15
| ~ spl0_93
| ~ spl0_102 ),
inference(avatar_contradiction_clause,[],[f5771]) ).
thf(f5777,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_21
| spl0_54
| spl0_57 ),
inference(forward_subsumption_resolution,[],[f5073,f2920]) ).
thf(f5786,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_21
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f5650,f29]) ).
thf(f5793,plain,
( spl0_50
| ~ spl0_21
| spl0_54
| spl0_57 ),
inference(avatar_split_clause,[],[f5777,f2186,f2153,f272,f2008]) ).
thf(f5800,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_21
| ~ spl0_52
| spl0_54 ),
inference(forward_subsumption_resolution,[],[f5786,f2920]) ).
thf(f5811,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_21
| ~ spl0_52
| spl0_54 ),
inference(forward_subsumption_resolution,[],[f5800,f29]) ).
thf(f5818,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_21
| ~ spl0_52
| spl0_54
| ~ spl0_93
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f5811,f5721]) ).
thf(f5819,plain,
( spl0_16
| spl0_50
| ~ spl0_21
| ~ spl0_52
| spl0_54
| ~ spl0_93
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f5818,f3432,f3058,f2153,f2058,f272,f2008,f211]) ).
thf(f5852,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f26,f3028]) ).
thf(f5869,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f5852]) ).
thf(f5896,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_93 ),
inference(constrained_superposition,[],[f5716,f3001]) ).
thf(f5899,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f5896]) ).
thf(f5952,definition,
( spl0_159
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
thf(f5953,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_159 ),
inference(avatar_component_clause,[],[f5952]) ).
thf(f5959,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_84 ),
inference(constrained_superposition,[],[f5869,f3001]) ).
thf(f5963,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f5959]) ).
thf(f5967,plain,
( $false
| ~ spl0_40
| ~ spl0_76
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f5963,f1974]) ).
thf(f5968,plain,
( ~ spl0_40
| ~ spl0_76
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f5967]) ).
thf(f5972,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_38
| ~ spl0_40 ),
inference(constrained_superposition,[],[f2332,f1966]) ).
thf(f5976,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f26,f1966]) ).
thf(f5977,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f5976]) ).
thf(f5980,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_38
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f5972]) ).
thf(f6029,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f26,f2059]) ).
thf(f6033,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f6029]) ).
thf(f6049,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_38
| ~ spl0_40 ),
inference(constrained_superposition,[],[f5977,f1974]) ).
thf(f6053,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_38
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f6049]) ).
thf(f6055,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_38
| ~ spl0_52 ),
inference(constrained_superposition,[],[f6033,f1966]) ).
thf(f6060,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_38
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f6055]) ).
thf(f6063,plain,
( $false
| ~ spl0_7
| ~ spl0_38
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f6060,f164]) ).
thf(f6064,plain,
( ~ spl0_7
| ~ spl0_38
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f6063]) ).
thf(f6067,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_38
| ~ spl0_52 ),
inference(constrained_superposition,[],[f6060,f1654]) ).
thf(f6070,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_36
| ~ spl0_38
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f6067]) ).
thf(f6075,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_36
| ~ spl0_38
| ~ spl0_52
| ~ spl0_76
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f6070,f5899]) ).
thf(f6076,plain,
( $false
| ~ spl0_36
| ~ spl0_38
| ~ spl0_52
| ~ spl0_76
| ~ spl0_93
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f6075,f5721]) ).
thf(f6077,plain,
( ~ spl0_36
| ~ spl0_38
| ~ spl0_52
| ~ spl0_76
| ~ spl0_93
| ~ spl0_106 ),
inference(avatar_contradiction_clause,[],[f6076]) ).
thf(f6079,plain,
( ~ spl0_1
| ~ spl0_38
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f6053,f1973,f1965,f72]) ).
thf(f6084,plain,
( ~ spl0_1
| ~ spl0_79
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f5669,f3044,f3010,f72]) ).
thf(f6089,definition,
( spl0_162
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
thf(f6090,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f6089]) ).
thf(f6092,definition,
( spl0_163
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
thf(f6093,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_163 ),
inference(avatar_component_clause,[],[f6092]) ).
thf(f6097,plain,
( $false
| ~ spl0_23
| ~ spl0_38
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f5980,f280]) ).
thf(f6098,plain,
( ~ spl0_23
| ~ spl0_38
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f6097]) ).
thf(f6100,definition,
( spl0_164
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
thf(f6101,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f6100]) ).
thf(f6102,plain,
( spl0_164
| spl0_57
| spl0_40
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1959,f75,f1973,f2186,f6100]) ).
thf(f6104,definition,
( spl0_165
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
thf(f6105,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f6104]) ).
thf(f6106,plain,
( spl0_165
| ~ spl0_61
| spl0_57
| spl0_54 ),
inference(avatar_split_clause,[],[f3347,f2153,f2186,f2309,f6104]) ).
thf(f6107,plain,
( spl0_68
| ~ spl0_61
| spl0_69 ),
inference(avatar_split_clause,[],[f2559,f2609,f2309,f2606]) ).
thf(f6127,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_163 ),
inference(constrained_superposition,[],[f6093,f36]) ).
thf(f6128,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_163 ),
inference(constrained_superposition,[],[f6093,f27]) ).
thf(f6130,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_163 ),
inference(trivial_inequality_removal,[],[f6127]) ).
thf(f6131,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_163 ),
inference(trivial_inequality_removal,[],[f6128]) ).
thf(f6134,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_163 ),
inference(forward_subsumption_resolution,[],[f6130,f29]) ).
thf(f6135,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_102
| spl0_163 ),
inference(forward_subsumption_resolution,[],[f6131,f5449]) ).
thf(f6136,plain,
( $false
| spl0_102
| spl0_163 ),
inference(forward_subsumption_resolution,[],[f6134,f5449]) ).
thf(f6137,plain,
( spl0_102
| spl0_163 ),
inference(avatar_contradiction_clause,[],[f6136]) ).
thf(f6138,plain,
( spl0_104
| spl0_102
| spl0_163 ),
inference(avatar_split_clause,[],[f6135,f6092,f3406,f3426]) ).
thf(f6150,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_33
| ~ spl0_84 ),
inference(constrained_superposition,[],[f5738,f3028]) ).
thf(f6168,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f6150]) ).
thf(f6176,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_33
| ~ spl0_84 ),
inference(constrained_superposition,[],[f6168,f570]) ).
thf(f6178,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_33
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f6176]) ).
thf(f6180,plain,
( spl0_40
| ~ spl0_33
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f6178,f3027,f569,f1973]) ).
thf(f6183,definition,
( spl0_167
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
thf(f6184,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f6183]) ).
thf(f6185,plain,
( ~ spl0_61
| ~ spl0_4
| spl0_38
| spl0_167
| spl0_54 ),
inference(avatar_split_clause,[],[f3350,f2153,f6183,f1965,f82,f2309]) ).
thf(f6200,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f26,f2009]) ).
thf(f6201,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f6200]) ).
thf(f6202,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_37
| spl0_57 ),
inference(constrained_superposition,[],[f5059,f1694]) ).
thf(f6213,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_37
| spl0_57 ),
inference(trivial_inequality_removal,[],[f6202]) ).
thf(f6215,plain,
( spl0_38
| spl0_40
| ~ spl0_37
| spl0_57 ),
inference(avatar_split_clause,[],[f6213,f2186,f1693,f1973,f1965]) ).
thf(f6216,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_15
| ~ spl0_37
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f5711,f209]) ).
thf(f6217,plain,
( ~ spl0_89
| spl0_76
| ~ spl0_37
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f5437,f2951,f1693,f3000,f3044]) ).
thf(f6218,plain,
( $false
| ~ spl0_72
| ~ spl0_105
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f3430,f5435]) ).
thf(f6219,plain,
( ~ spl0_72
| ~ spl0_105
| ~ spl0_106 ),
inference(avatar_contradiction_clause,[],[f6218]) ).
thf(f6221,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_37
| spl0_77
| spl0_102 ),
inference(forward_subsumption_resolution,[],[f4750,f5449]) ).
thf(f6222,plain,
( spl0_76
| ~ spl0_15
| ~ spl0_37
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f6216,f3058,f1693,f208,f3000]) ).
thf(f6223,plain,
( spl0_76
| ~ spl0_37
| spl0_77
| spl0_102 ),
inference(avatar_split_clause,[],[f6221,f3406,f3003,f1693,f3000]) ).
thf(f6226,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_38 ),
inference(constrained_superposition,[],[f5738,f1966]) ).
thf(f6230,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f6226]) ).
thf(f6234,plain,
( $false
| ~ spl0_23
| ~ spl0_33
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f6230,f280]) ).
thf(f6235,plain,
( ~ spl0_23
| ~ spl0_33
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f6234]) ).
thf(f6308,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f327,f140]) ).
thf(f6312,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f6308]) ).
thf(f6317,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_105 ),
inference(constrained_superposition,[],[f26,f3430]) ).
thf(f6318,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f6317]) ).
thf(f6319,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_38
| ~ spl0_50 ),
inference(constrained_superposition,[],[f6201,f1966]) ).
thf(f6321,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_38
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f6319]) ).
thf(f6323,plain,
( $false
| ~ spl0_23
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f6321,f280]) ).
thf(f6324,plain,
( ~ spl0_23
| ~ spl0_38
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f6323]) ).
thf(f6340,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f6184,f36]) ).
thf(f6344,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f6340]) ).
thf(f6371,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f26,f3069]) ).
thf(f6373,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f6371]) ).
thf(f6401,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_162 ),
inference(constrained_superposition,[],[f6090,f1544]) ).
thf(f6409,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f6401]) ).
thf(f6413,plain,
( ~ spl0_56
| spl0_84
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f6409,f6089,f3027,f2173]) ).
thf(f6460,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_79
| ~ spl0_130 ),
inference(constrained_superposition,[],[f5668,f4360]) ).
thf(f6461,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_79
| ~ spl0_137 ),
inference(constrained_superposition,[],[f5668,f4460]) ).
thf(f6466,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_79
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f6461]) ).
thf(f6467,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_79
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f6460]) ).
thf(f6468,plain,
( $false
| ~ spl0_23
| ~ spl0_79
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f6466,f280]) ).
thf(f6469,plain,
( ~ spl0_23
| ~ spl0_79
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f6468]) ).
thf(f6470,plain,
( $false
| ~ spl0_50
| ~ spl0_79
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f6467,f2009]) ).
thf(f6471,plain,
( ~ spl0_50
| ~ spl0_79
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f6470]) ).
thf(f6473,definition,
( spl0_168
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
thf(f6474,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f6473]) ).
thf(f6476,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_147 ),
inference(constrained_superposition,[],[f5302,f35]) ).
thf(f6479,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_147 ),
inference(trivial_inequality_removal,[],[f6476]) ).
thf(f6480,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_105
| ~ spl0_130 ),
inference(constrained_superposition,[],[f6318,f4360]) ).
thf(f6481,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_105
| ~ spl0_137 ),
inference(constrained_superposition,[],[f6318,f4460]) ).
thf(f6483,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_105
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f6480]) ).
thf(f6485,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_105
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f6481]) ).
thf(f6486,plain,
( $false
| ~ spl0_50
| ~ spl0_105
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f6483,f2009]) ).
thf(f6487,plain,
( ~ spl0_50
| ~ spl0_105
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f6486]) ).
thf(f6488,plain,
( $false
| ~ spl0_23
| ~ spl0_105
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f6485,f280]) ).
thf(f6489,plain,
( ~ spl0_23
| ~ spl0_105
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f6488]) ).
thf(f6499,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f26,f2187]) ).
thf(f6502,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f6499]) ).
thf(f6508,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_57 ),
inference(constrained_superposition,[],[f502,f2187]) ).
thf(f6514,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f6508]) ).
thf(f6519,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f6514,f29]) ).
thf(f6522,plain,
( spl0_53
| ~ spl0_32
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f6519,f2186,f501,f2062]) ).
thf(f6546,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f140,f2063]) ).
thf(f6673,definition,
( spl0_170
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
thf(f6674,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f6673]) ).
thf(f6676,definition,
( spl0_171
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
thf(f6677,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_171 ),
inference(avatar_component_clause,[],[f6676]) ).
thf(f6679,definition,
( spl0_172
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
thf(f6680,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f6679]) ).
thf(f6683,definition,
( spl0_173
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
thf(f6684,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_173 ),
inference(avatar_component_clause,[],[f6683]) ).
thf(f6686,definition,
( spl0_174
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
thf(f6687,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f6686]) ).
thf(f6702,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f6546,f31]) ).
thf(f6712,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f6702,f28]) ).
thf(f6713,plain,
~ spl0_53,
inference(avatar_contradiction_clause,[],[f6712]) ).
thf(f6724,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_106 ),
inference(constrained_superposition,[],[f4451,f3028]) ).
thf(f6742,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_84
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f6724]) ).
thf(f6787,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_71
| ~ spl0_162 ),
inference(constrained_superposition,[],[f6090,f2949]) ).
thf(f6800,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_71
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f6787]) ).
thf(f6817,plain,
( ~ spl0_159
| ~ spl0_71
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f6800,f6089,f2948,f5952]) ).
thf(f6826,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_159 ),
inference(constrained_superposition,[],[f5953,f36]) ).
thf(f6827,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_159 ),
inference(constrained_superposition,[],[f5953,f27]) ).
thf(f6828,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_159 ),
inference(trivial_inequality_removal,[],[f6826]) ).
thf(f6830,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_159 ),
inference(trivial_inequality_removal,[],[f6827]) ).
thf(f6831,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_89
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f6828,f3402]) ).
thf(f6834,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_89
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f6830,f3402]) ).
thf(f6835,plain,
( $false
| spl0_89
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f6831,f29]) ).
thf(f6836,plain,
( spl0_89
| spl0_159 ),
inference(avatar_contradiction_clause,[],[f6835]) ).
thf(f6837,plain,
( spl0_107
| spl0_89
| spl0_159 ),
inference(avatar_split_clause,[],[f6834,f5952,f3044,f3435]) ).
thf(f6840,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f26,f4460]) ).
thf(f6843,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f6840]) ).
thf(f6851,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_73
| ~ spl0_135 ),
inference(constrained_superposition,[],[f4432,f2956]) ).
thf(f6852,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f4432,f1544]) ).
thf(f6855,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f4432,f35]) ).
thf(f6860,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_73
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f6851]) ).
thf(f6861,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f6852]) ).
thf(f6864,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f6855]) ).
thf(f6865,plain,
( ~ spl0_88
| ~ spl0_73
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f6860,f4431,f2955,f3041]) ).
thf(f6866,plain,
( ~ spl0_56
| spl0_130
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f6861,f4431,f4359,f2173]) ).
thf(f6867,plain,
( spl0_79
| ~ spl0_6
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f6864,f4431,f110,f3010]) ).
thf(f6895,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f6312,f34]) ).
thf(f6897,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f6895]) ).
thf(f6899,plain,
( spl0_152
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f6897,f326,f5584]) ).
thf(f6901,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_96
| ~ spl0_137 ),
inference(constrained_superposition,[],[f6373,f4460]) ).
thf(f6904,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_96
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f6901]) ).
thf(f6905,plain,
( $false
| ~ spl0_7
| ~ spl0_96
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f6904,f164]) ).
thf(f6906,plain,
( ~ spl0_7
| ~ spl0_96
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f6905]) ).
thf(f6957,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_164 ),
inference(constrained_superposition,[],[f6101,f34]) ).
thf(f6960,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) )
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f6957]) ).
thf(f6962,plain,
( spl0_43
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f6960,f6100,f1983]) ).
thf(f7041,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_127
| ~ spl0_137 ),
inference(constrained_superposition,[],[f6843,f4085]) ).
thf(f7051,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_127
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f7041]) ).
thf(f7067,plain,
( $false
| ~ spl0_15
| ~ spl0_127
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f7051,f209]) ).
thf(f7068,plain,
( ~ spl0_15
| ~ spl0_127
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f7067]) ).
thf(f7147,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_151 ),
inference(constrained_superposition,[],[f5579,f2187]) ).
thf(f7153,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f7147]) ).
thf(f7163,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_84
| ~ spl0_106
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f7153,f6742]) ).
thf(f7166,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_84
| ~ spl0_106
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f7163,f29]) ).
thf(f7167,plain,
( spl0_53
| ~ spl0_57
| ~ spl0_84
| ~ spl0_106
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f7166,f5578,f3432,f3027,f2186,f2062]) ).
thf(f7170,plain,
( spl0_76
| spl0_147 ),
inference(avatar_split_clause,[],[f6479,f5301,f3000]) ).
thf(f7180,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_40
| ~ spl0_57 ),
inference(constrained_superposition,[],[f6502,f1974]) ).
thf(f7183,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_40
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f7180]) ).
thf(f7186,plain,
( $false
| ~ spl0_1
| ~ spl0_40
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f7183,f73]) ).
thf(f7187,plain,
( ~ spl0_1
| ~ spl0_40
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f7186]) ).
thf(f7201,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_93 ),
inference(constrained_superposition,[],[f5716,f3001]) ).
thf(f7205,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f7201]) ).
thf(f7210,plain,
( $false
| ~ spl0_9
| ~ spl0_76
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f7205,f171]) ).
thf(f7211,plain,
( ~ spl0_9
| ~ spl0_76
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f7210]) ).
thf(f7220,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_40 ),
inference(constrained_superposition,[],[f490,f1974]) ).
thf(f7221,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f26,f1974]) ).
thf(f7222,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_21
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f7220]) ).
thf(f7224,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f7221]) ).
thf(f7253,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f316,f35]) ).
thf(f7255,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f7253]) ).
thf(f7260,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_40
| ~ spl0_112 ),
inference(constrained_superposition,[],[f7224,f3556]) ).
thf(f7264,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_40
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f7260]) ).
thf(f7266,plain,
( $false
| ~ spl0_40
| ~ spl0_106
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f7264,f3433]) ).
thf(f7267,plain,
( ~ spl0_40
| ~ spl0_106
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f7266]) ).
thf(f7268,plain,
( spl0_9
| ~ spl0_6
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f7255,f315,f110,f170]) ).
thf(f7270,plain,
( spl0_50
| ~ spl0_1
| ~ spl0_21
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f7222,f1973,f272,f72,f2008]) ).
thf(f7389,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_40
| ~ spl0_86 ),
inference(constrained_superposition,[],[f7224,f3035]) ).
thf(f7409,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_40
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f7389]) ).
thf(f7443,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_90 ),
inference(constrained_superposition,[],[f3049,f141]) ).
thf(f7452,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f7443]) ).
thf(f7454,plain,
( ~ spl0_11
| spl0_127
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f7452,f3048,f4084,f177]) ).
thf(f7631,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f26,f570]) ).
thf(f7633,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f7631]) ).
thf(f7635,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f7633,f26]) ).
thf(f7694,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_33
| ~ spl0_40
| ~ spl0_86 ),
inference(constrained_superposition,[],[f7409,f570]) ).
thf(f7696,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_33
| ~ spl0_40
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f7694]) ).
thf(f7698,plain,
( spl0_79
| ~ spl0_33
| ~ spl0_40
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f7696,f3034,f1973,f569,f3010]) ).
thf(f7724,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_74 ),
inference(constrained_superposition,[],[f7635,f2959]) ).
thf(f7734,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f7724]) ).
thf(f7735,plain,
( $false
| ~ spl0_33
| ~ spl0_74
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f7734,f3433]) ).
thf(f7736,plain,
( ~ spl0_33
| ~ spl0_74
| ~ spl0_106 ),
inference(avatar_contradiction_clause,[],[f7735]) ).
thf(f7740,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f26,f1966]) ).
thf(f7742,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f7740]) ).
thf(f7770,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_38
| ~ spl0_48 ),
inference(constrained_superposition,[],[f7742,f2002]) ).
thf(f7775,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_38
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f7770]) ).
thf(f7778,plain,
( $false
| ~ spl0_15
| ~ spl0_38
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f7775,f209]) ).
thf(f7779,plain,
( ~ spl0_15
| ~ spl0_38
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f7778]) ).
thf(f7792,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_144 ),
inference(constrained_superposition,[],[f4535,f1543]) ).
thf(f7801,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_144 ),
inference(trivial_inequality_removal,[],[f7792]) ).
thf(f7806,plain,
( spl0_86
| spl0_144 ),
inference(avatar_split_clause,[],[f7801,f4534,f3034]) ).
thf(f7817,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_33
| ~ spl0_130 ),
inference(constrained_superposition,[],[f7635,f4360]) ).
thf(f7834,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f7817]) ).
thf(f7839,plain,
( $false
| ~ spl0_33
| ~ spl0_50
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f7834,f2009]) ).
thf(f7840,plain,
( ~ spl0_33
| ~ spl0_50
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f7839]) ).
thf(f7894,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f2555,f2956]) ).
thf(f7896,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f126,f2956]) ).
thf(f7897,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f1626,f2956]) ).
thf(f7898,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f49,f2956]) ).
thf(f7903,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f30,f2956]) ).
thf(f7905,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f7897]) ).
thf(f7909,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f7896]) ).
thf(f7912,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f7898]) ).
thf(f7914,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f7903]) ).
thf(f7917,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f7894]) ).
thf(f7933,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_73
| ~ spl0_82 ),
inference(constrained_superposition,[],[f3022,f2956]) ).
thf(f7946,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_73
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f7933]) ).
thf(f7948,plain,
( ~ spl0_87
| ~ spl0_73
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f7946,f3021,f2955,f3037]) ).
thf(f7970,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f3032,f1544]) ).
thf(f7973,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f3032,f35]) ).
thf(f7974,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f7973]) ).
thf(f7981,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f7970]) ).
thf(f8007,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f7914,f1544]) ).
thf(f8008,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f7914,f141]) ).
thf(f8009,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f7914,f56]) ).
thf(f8010,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f7914,f35]) ).
thf(f8011,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f8009]) ).
thf(f8017,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f8010]) ).
thf(f8018,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f8007]) ).
thf(f8020,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f8008]) ).
thf(f8063,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_32
| ~ spl0_89 ),
inference(constrained_superposition,[],[f502,f3045]) ).
thf(f8068,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_32
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f8063]) ).
thf(f8073,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_32
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f8068,f29]) ).
thf(f8077,plain,
( spl0_128
| ~ spl0_32
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f8073,f3044,f501,f4088]) ).
thf(f8078,plain,
( spl0_130
| ~ spl0_142
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f7981,f3031,f4527,f4359]) ).
thf(f8082,plain,
( spl0_143
| spl0_130
| ~ spl0_87
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f8018,f2955,f3037,f4359,f4530]) ).
thf(f8091,plain,
( spl0_130
| spl0_143
| ~ spl0_142
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f7917,f2955,f4527,f4530,f4359]) ).
thf(f8092,plain,
( spl0_137
| spl0_162
| ~ spl0_163
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f7909,f2955,f6092,f6089,f4459]) ).
thf(f8094,plain,
( ~ spl0_88
| spl0_137
| spl0_162
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f8011,f2955,f6089,f4459,f3041]) ).
thf(f8099,plain,
( spl0_79
| ~ spl0_147
| spl0_168
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f7912,f2955,f6473,f5301,f3010]) ).
thf(f8101,plain,
( spl0_98
| spl0_127
| ~ spl0_95
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f8020,f2955,f3065,f4084,f3279]) ).
thf(f8106,plain,
( ~ spl0_147
| spl0_79
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f7974,f3031,f3010,f5301]) ).
thf(f8134,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f26,f73]) ).
thf(f8136,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f8134]) ).
thf(f8152,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_15 ),
inference(constrained_superposition,[],[f8136,f209]) ).
thf(f8159,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f8152]) ).
thf(f8161,plain,
( $false
| ~ spl0_1
| ~ spl0_15
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f8159,f351]) ).
thf(f8162,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f8161]) ).
thf(f8175,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f26,f3004]) ).
thf(f8178,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f8175]) ).
thf(f8213,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f26,f3011]) ).
thf(f8215,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f8213]) ).
thf(f8334,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_77
| ~ spl0_84 ),
inference(constrained_superposition,[],[f8178,f3028]) ).
thf(f8337,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_77
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f8334]) ).
thf(f8340,plain,
( $false
| ~ spl0_57
| ~ spl0_77
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f8337,f2187]) ).
thf(f8341,plain,
( ~ spl0_57
| ~ spl0_77
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f8340]) ).
thf(f8393,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_90 ),
inference(constrained_superposition,[],[f3049,f56]) ).
thf(f8403,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f8393]) ).
thf(f8404,plain,
( spl0_137
| ~ spl0_4
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f8403,f3048,f82,f4459]) ).
thf(f8410,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_79
| ~ spl0_127 ),
inference(constrained_superposition,[],[f8215,f4085]) ).
thf(f8414,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_79
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f8410]) ).
thf(f8417,plain,
( $false
| ~ spl0_31
| ~ spl0_79
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f8414,f351]) ).
thf(f8418,plain,
( ~ spl0_31
| ~ spl0_79
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f8417]) ).
thf(f8435,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_73
| ~ spl0_92 ),
inference(constrained_superposition,[],[f3056,f2956]) ).
thf(f8448,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_73
| ~ spl0_92 ),
inference(trivial_inequality_removal,[],[f8435]) ).
thf(f8449,plain,
( ~ spl0_95
| ~ spl0_73
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f8448,f3055,f2955,f3065]) ).
thf(f8470,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_111 ),
inference(constrained_superposition,[],[f598,f3538]) ).
thf(f8477,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_15
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f8470]) ).
thf(f8491,plain,
( $false
| ~ spl0_15
| ~ spl0_77
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f8477,f3004]) ).
thf(f8492,plain,
( ~ spl0_15
| ~ spl0_77
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f8491]) ).
thf(f8578,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f26,f570]) ).
thf(f8579,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f8578]) ).
thf(f8581,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f8579,f26]) ).
thf(f8594,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_77 ),
inference(constrained_superposition,[],[f8178,f3001]) ).
thf(f8597,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f26,f3001]) ).
thf(f8598,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f8597]) ).
thf(f8601,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_76
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f8594]) ).
thf(f8602,plain,
( $false
| ~ spl0_1
| ~ spl0_76
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f8601,f73]) ).
thf(f8603,plain,
( ~ spl0_1
| ~ spl0_76
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f8602]) ).
thf(f8611,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f26,f1966]) ).
thf(f8614,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f8611]) ).
thf(f8628,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_21
| spl0_77 ),
inference(constrained_superposition,[],[f4738,f441]) ).
thf(f8634,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_21
| spl0_77 ),
inference(trivial_inequality_removal,[],[f8628]) ).
thf(f8662,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_21
| ~ spl0_93 ),
inference(constrained_superposition,[],[f597,f3059]) ).
thf(f8665,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_21
| ~ spl0_93 ),
inference(constrained_superposition,[],[f526,f3059]) ).
thf(f8679,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ z ) )
| ~ spl0_21
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f8665]) ).
thf(f8687,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_21
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f8662]) ).
thf(f8717,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_21
| ~ spl0_111 ),
inference(constrained_superposition,[],[f527,f3538]) ).
thf(f8733,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_21
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f8717]) ).
thf(f8771,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_112 ),
inference(constrained_superposition,[],[f8581,f3556]) ).
thf(f8793,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f8771]) ).
thf(f8794,plain,
( $false
| ~ spl0_33
| ~ spl0_106
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f8793,f3433]) ).
thf(f8795,plain,
( ~ spl0_33
| ~ spl0_106
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f8794]) ).
thf(f8859,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f1981,f27]) ).
thf(f8860,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f8859]) ).
thf(f8868,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_86 ),
inference(constrained_superposition,[],[f8614,f3035]) ).
thf(f8871,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f8868]) ).
thf(f8875,plain,
( $false
| ~ spl0_38
| ~ spl0_86
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f8871,f3045]) ).
thf(f8876,plain,
( ~ spl0_38
| ~ spl0_86
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f8875]) ).
thf(f8895,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_21
| spl0_77 ),
inference(forward_subsumption_resolution,[],[f8634,f29]) ).
thf(f8904,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_15
| ~ spl0_21
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f8687,f29]) ).
thf(f8911,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_21
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f8733,f29]) ).
thf(f8912,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_21
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f8679,f29]) ).
thf(f8928,plain,
( spl0_104
| spl0_106
| ~ spl0_21
| spl0_77 ),
inference(avatar_split_clause,[],[f8895,f3003,f272,f3432,f3426]) ).
thf(f8931,plain,
( spl0_104
| spl0_106
| ~ spl0_15
| ~ spl0_21
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f8904,f3058,f272,f208,f3432,f3426]) ).
thf(f8935,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_21
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f8911,f29]) ).
thf(f8936,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_21
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f8912,f29]) ).
thf(f8943,plain,
( spl0_31
| spl0_104
| spl0_16
| spl0_106
| ~ spl0_21
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f8935,f3537,f272,f3432,f211,f3426,f350]) ).
thf(f8944,plain,
( spl0_31
| spl0_106
| spl0_104
| ~ spl0_21
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f8936,f3058,f272,f3426,f3432,f350]) ).
thf(f8948,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f26,f2187]) ).
thf(f8950,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f8948]) ).
thf(f9022,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f26,f4085]) ).
thf(f9028,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f9022]) ).
thf(f9059,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_33
| ~ spl0_130 ),
inference(constrained_superposition,[],[f8581,f4360]) ).
thf(f9067,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f9059]) ).
thf(f9080,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_33
| ~ spl0_130 ),
inference(constrained_superposition,[],[f9067,f570]) ).
thf(f9082,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_33
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f9080]) ).
thf(f9084,plain,
( spl0_40
| ~ spl0_33
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f9082,f4359,f569,f1973]) ).
thf(f9142,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_76 ),
inference(constrained_superposition,[],[f8598,f2952]) ).
thf(f9163,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_72
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f9142]) ).
thf(f9165,plain,
( $false
| ~ spl0_72
| ~ spl0_76
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f9163,f3430]) ).
thf(f9166,plain,
( ~ spl0_72
| ~ spl0_76
| ~ spl0_105 ),
inference(avatar_contradiction_clause,[],[f9165]) ).
thf(f9174,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_79
| ~ spl0_127 ),
inference(constrained_superposition,[],[f9028,f3011]) ).
thf(f9177,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_79
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f9174]) ).
thf(f9180,plain,
( $false
| ~ spl0_9
| ~ spl0_79
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f9177,f171]) ).
thf(f9181,plain,
( ~ spl0_9
| ~ spl0_79
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f9180]) ).
thf(f9182,plain,
( spl0_168
| ~ spl0_133
| spl0_79
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f8017,f2955,f3010,f4420,f6473]) ).
thf(f9188,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f26,f280]) ).
thf(f9189,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f9188]) ).
thf(f9195,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f26,f2009]) ).
thf(f9196,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f9195]) ).
thf(f9201,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_23
| ~ spl0_57 ),
inference(constrained_superposition,[],[f9189,f2187]) ).
thf(f9206,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_23
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f9201]) ).
thf(f9209,plain,
( $false
| ~ spl0_23
| ~ spl0_50
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f9206,f2009]) ).
thf(f9210,plain,
( ~ spl0_23
| ~ spl0_50
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f9209]) ).
thf(f9214,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f26,f73]) ).
thf(f9217,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f9214]) ).
thf(f9223,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_57 ),
inference(constrained_superposition,[],[f9217,f2187]) ).
thf(f9230,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f9223]) ).
thf(f9233,plain,
( $false
| ~ spl0_1
| ~ spl0_50
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f9230,f2009]) ).
thf(f9234,plain,
( ~ spl0_1
| ~ spl0_50
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f9233]) ).
thf(f9256,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_48
| ~ spl0_57 ),
inference(constrained_superposition,[],[f8950,f2002]) ).
thf(f9261,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f26,f2002]) ).
thf(f9268,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_48
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f9256]) ).
thf(f9271,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f9261]) ).
thf(f9281,plain,
( $false
| ~ spl0_15
| ~ spl0_48
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f9268,f209]) ).
thf(f9282,plain,
( ~ spl0_15
| ~ spl0_48
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f9281]) ).
thf(f9328,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f6474,f141]) ).
thf(f9335,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f9328]) ).
thf(f9339,plain,
( ~ spl0_11
| spl0_93
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f9335,f6473,f3058,f177]) ).
thf(f9402,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_48
| ~ spl0_86 ),
inference(constrained_superposition,[],[f9271,f3035]) ).
thf(f9403,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_50
| ~ spl0_86 ),
inference(constrained_superposition,[],[f9196,f3035]) ).
thf(f9409,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_48
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f9402]) ).
thf(f9419,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_50
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f9403]) ).
thf(f9425,plain,
( $false
| ~ spl0_48
| ~ spl0_86
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f9409,f3069]) ).
thf(f9426,plain,
( ~ spl0_48
| ~ spl0_86
| ~ spl0_96 ),
inference(avatar_contradiction_clause,[],[f9425]) ).
thf(f9427,plain,
( $false
| ~ spl0_50
| ~ spl0_86
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f9419,f3430]) ).
thf(f9428,plain,
( ~ spl0_50
| ~ spl0_86
| ~ spl0_105 ),
inference(avatar_contradiction_clause,[],[f9427]) ).
thf(f9502,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f140,f3535]) ).
thf(f9649,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f9502,f28]) ).
thf(f9669,plain,
( $false
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f9649,f31]) ).
thf(f9670,plain,
~ spl0_110,
inference(avatar_contradiction_clause,[],[f9669]) ).
thf(f9686,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f4531,f35]) ).
thf(f9689,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f9686]) ).
thf(f9695,plain,
( spl0_76
| ~ spl0_61
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f9689,f4530,f2309,f3000]) ).
thf(f9765,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f1544,f4370]) ).
thf(f9905,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f9765,f28]) ).
thf(f9912,plain,
( $false
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f9905,f31]) ).
thf(f9913,plain,
~ spl0_132,
inference(avatar_contradiction_clause,[],[f9912]) ).
thf(f9942,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32
| ~ spl0_77 ),
inference(constrained_superposition,[],[f502,f3004]) ).
thf(f9947,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f9942]) ).
thf(f9952,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f9947,f29]) ).
thf(f9956,plain,
( spl0_110
| ~ spl0_32
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f9952,f3003,f501,f3534]) ).
thf(f9958,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f26,f570]) ).
thf(f9960,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f9958]) ).
thf(f9963,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f9960,f26]) ).
thf(f10003,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_72 ),
inference(constrained_superposition,[],[f9963,f2952]) ).
thf(f10012,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f10003]) ).
thf(f10015,plain,
( $false
| ~ spl0_33
| ~ spl0_72
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f10012,f3430]) ).
thf(f10016,plain,
( ~ spl0_33
| ~ spl0_72
| ~ spl0_105 ),
inference(avatar_contradiction_clause,[],[f10015]) ).
thf(f10043,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f26,f3028]) ).
thf(f10046,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f10043]) ).
thf(f10112,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_77
| ~ spl0_151 ),
inference(constrained_superposition,[],[f5579,f3004]) ).
thf(f10117,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_77
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f10112]) ).
thf(f10126,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_77
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f10117,f29]) ).
thf(f10129,plain,
( spl0_106
| spl0_110
| ~ spl0_77
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f10126,f5578,f3003,f3534,f3432]) ).
thf(f10158,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_50
| ~ spl0_112 ),
inference(constrained_superposition,[],[f9196,f3556]) ).
thf(f10163,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f26,f3556]) ).
thf(f10168,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_50
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f10158]) ).
thf(f10180,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f10163]) ).
thf(f10246,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_33
| ~ spl0_50
| ~ spl0_112 ),
inference(constrained_superposition,[],[f10168,f570]) ).
thf(f10248,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_33
| ~ spl0_50
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f10246]) ).
thf(f10250,plain,
( spl0_76
| ~ spl0_33
| ~ spl0_50
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f10248,f3555,f2008,f569,f3000]) ).
thf(f10254,definition,
( spl0_180
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
thf(f10255,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f10254]) ).
thf(f10257,definition,
( spl0_181
<=> ! [X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
thf(f10258,plain,
( ! [X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f10257]) ).
thf(f10259,plain,
( spl0_180
| ~ spl0_4
| spl0_181 ),
inference(avatar_split_clause,[],[f1531,f10257,f82,f10254]) ).
thf(f10260,plain,
( spl0_21
| spl0_22
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f127,f110,f275,f272]) ).
thf(f10263,definition,
( spl0_182
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
thf(f10264,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f10263]) ).
thf(f10274,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f26,f3001]) ).
thf(f10275,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f10274]) ).
thf(f10324,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_76
| ~ spl0_84 ),
inference(constrained_superposition,[],[f10275,f3028]) ).
thf(f10329,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_76
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f10324]) ).
thf(f10332,plain,
( $false
| ~ spl0_50
| ~ spl0_76
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f10329,f2009]) ).
thf(f10333,plain,
( ~ spl0_50
| ~ spl0_76
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f10332]) ).
thf(f10369,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_162 ),
inference(constrained_superposition,[],[f6090,f35]) ).
thf(f10375,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f10369]) ).
thf(f10378,plain,
( ~ spl0_6
| spl0_76
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f10375,f6089,f3000,f110]) ).
thf(f10408,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_98 ),
inference(constrained_superposition,[],[f3280,f35]) ).
thf(f10410,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f10408]) ).
thf(f10417,plain,
( spl0_76
| ~ spl0_20
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f10410,f3279,f253,f3000]) ).
thf(f10423,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f26,f351]) ).
thf(f10424,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f10423]) ).
thf(f10426,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_57
| ~ spl0_167 ),
inference(constrained_superposition,[],[f5059,f6344]) ).
thf(f10428,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_57
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f10426]) ).
thf(f10436,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_31
| ~ spl0_96 ),
inference(constrained_superposition,[],[f10424,f3069]) ).
thf(f10437,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_31
| ~ spl0_52 ),
inference(constrained_superposition,[],[f10424,f2059]) ).
thf(f10440,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_31
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f10437]) ).
thf(f10442,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_31
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f10436]) ).
thf(f10443,plain,
( $false
| ~ spl0_31
| ~ spl0_50
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f10440,f2009]) ).
thf(f10444,plain,
( ~ spl0_31
| ~ spl0_50
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f10443]) ).
thf(f10445,plain,
( $false
| ~ spl0_31
| ~ spl0_96
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f10442,f3430]) ).
thf(f10446,plain,
( ~ spl0_31
| ~ spl0_96
| ~ spl0_105 ),
inference(avatar_contradiction_clause,[],[f10445]) ).
thf(f10447,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_57
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[],[f10428,f29]) ).
thf(f10449,plain,
( spl0_50
| spl0_57
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f10447,f6183,f2186,f2008]) ).
thf(f10451,definition,
( spl0_183
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f10452,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f10451]) ).
thf(f10460,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f26,f3001]) ).
thf(f10462,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f10460]) ).
thf(f10537,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_76
| ~ spl0_93 ),
inference(constrained_superposition,[],[f10462,f3059]) ).
thf(f10543,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_76
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f10537]) ).
thf(f10544,plain,
( $false
| ~ spl0_31
| ~ spl0_76
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f10543,f351]) ).
thf(f10545,plain,
( ~ spl0_31
| ~ spl0_76
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f10544]) ).
thf(f10578,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_84
| ~ spl0_102 ),
inference(constrained_superposition,[],[f10046,f3407]) ).
thf(f10579,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f26,f3407]) ).
thf(f10581,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_84
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f10578]) ).
thf(f10582,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f10579]) ).
thf(f10585,plain,
( ~ spl0_38
| ~ spl0_84
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f10581,f3406,f3027,f1965]) ).
thf(f10586,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f7905,f29]) ).
thf(f10587,plain,
( ~ spl0_6
| spl0_183
| spl0_57
| ~ spl0_44
| spl0_54 ),
inference(avatar_split_clause,[],[f3351,f2153,f1986,f2186,f10451,f110]) ).
thf(f10588,plain,
( spl0_106
| spl0_79
| spl0_105
| ~ spl0_147
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f10586,f2955,f5301,f3429,f3010,f3432]) ).
thf(f10620,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f6184,f55]) ).
thf(f10622,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f10620]) ).
thf(f10625,plain,
( spl0_180
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f10622,f6183,f10254]) ).
thf(f10637,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f6474,f1544]) ).
thf(f10643,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f10637]) ).
thf(f10657,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f10452,f1543]) ).
thf(f10662,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f10657]) ).
thf(f10669,plain,
( spl0_43
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f10662,f10451,f1983]) ).
thf(f10689,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_102 ),
inference(constrained_superposition,[],[f10582,f3028]) ).
thf(f10693,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_84
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f10689]) ).
thf(f10696,plain,
( $false
| ~ spl0_57
| ~ spl0_84
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f10693,f2187]) ).
thf(f10697,plain,
( ~ spl0_57
| ~ spl0_84
| ~ spl0_102 ),
inference(avatar_contradiction_clause,[],[f10696]) ).
thf(f10698,plain,
( spl0_84
| ~ spl0_44
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f10643,f6473,f1986,f3027]) ).
thf(f10740,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_31
| ~ spl0_96 ),
inference(constrained_superposition,[],[f10424,f3069]) ).
thf(f10742,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f26,f3069]) ).
thf(f10743,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f10742]) ).
thf(f10745,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_31
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f10740]) ).
thf(f10756,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f42,f2949]) ).
thf(f10757,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_71
| ~ spl0_168 ),
inference(constrained_superposition,[],[f6474,f2949]) ).
thf(f10770,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_71
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f10757]) ).
thf(f10784,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f10756]) ).
thf(f10786,plain,
( ~ spl0_75
| ~ spl0_71
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f10770,f6473,f2948,f2997]) ).
thf(f10790,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_31
| ~ spl0_71
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f10784,f10745]) ).
thf(f10792,plain,
( spl0_85
| ~ spl0_133
| ~ spl0_31
| ~ spl0_71
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f10790,f3068,f2948,f350,f4420,f3031]) ).
thf(f10794,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_76 ),
inference(constrained_superposition,[],[f10462,f2952]) ).
thf(f10795,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f26,f2952]) ).
thf(f10796,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_72
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f10794]) ).
thf(f10797,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f10795]) ).
thf(f10801,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_112 ),
inference(constrained_superposition,[],[f10180,f3001]) ).
thf(f10804,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f10801]) ).
thf(f10807,plain,
( $false
| ~ spl0_40
| ~ spl0_76
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f10804,f1974]) ).
thf(f10808,plain,
( ~ spl0_40
| ~ spl0_76
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f10807]) ).
thf(f10831,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_89
| ~ spl0_180 ),
inference(constrained_superposition,[],[f3402,f10255]) ).
thf(f10835,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_89
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f10831]) ).
thf(f10837,plain,
( $false
| ~ spl0_31
| spl0_89
| ~ spl0_96
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f10835,f10745]) ).
thf(f10838,plain,
( ~ spl0_31
| spl0_89
| ~ spl0_96
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f10837]) ).
thf(f10878,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true != $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f10258,f27]) ).
thf(f10880,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f10878]) ).
thf(f10885,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_72
| ~ spl0_181 ),
inference(constrained_superposition,[],[f10797,f10880]) ).
thf(f10887,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_96
| ~ spl0_181 ),
inference(constrained_superposition,[],[f10743,f10880]) ).
thf(f10894,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_96
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f10887]) ).
thf(f10896,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f10885]) ).
thf(f10901,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_96
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f10894,f29]) ).
thf(f10902,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f10896,f29]) ).
thf(f10903,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_7 ),
inference(avatar_component_clause,[],[f163]) ).
thf(f10904,plain,
( spl0_79
| spl0_107
| ~ spl0_7
| ~ spl0_96
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f10901,f10257,f3068,f163,f3435,f3010]) ).
thf(f10905,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_72
| ~ spl0_102
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f10902,f3407]) ).
thf(f10906,plain,
( spl0_107
| spl0_79
| ~ spl0_72
| ~ spl0_102
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f10905,f10257,f3406,f2951,f3010,f3435]) ).
thf(f10925,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_89
| ~ spl0_180 ),
inference(constrained_superposition,[],[f3402,f10255]) ).
thf(f10930,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_89
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f10925]) ).
thf(f10931,plain,
( $false
| ~ spl0_72
| ~ spl0_76
| spl0_89
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f10930,f10796]) ).
thf(f10932,plain,
( ~ spl0_72
| ~ spl0_76
| spl0_89
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f10931]) ).
thf(f10952,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f26,f2059]) ).
thf(f10954,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f10952]) ).
thf(f10982,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_40
| ~ spl0_52 ),
inference(constrained_superposition,[],[f10954,f1974]) ).
thf(f10984,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_40
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f10982]) ).
thf(f10986,plain,
( $false
| ~ spl0_9
| ~ spl0_40
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f10984,f171]) ).
thf(f10987,plain,
( ~ spl0_9
| ~ spl0_40
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f10986]) ).
thf(f11005,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_79 ),
inference(constrained_superposition,[],[f10797,f3011]) ).
thf(f11009,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f11005]) ).
thf(f11011,plain,
( $false
| ~ spl0_72
| ~ spl0_76
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f11009,f3001]) ).
thf(f11012,plain,
( ~ spl0_72
| ~ spl0_76
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f11011]) ).
thf(f11039,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_94 ),
inference(constrained_superposition,[],[f3062,f27]) ).
thf(f11043,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_94 ),
inference(trivial_inequality_removal,[],[f11039]) ).
thf(f11046,plain,
( spl0_128
| spl0_127
| spl0_94 ),
inference(avatar_split_clause,[],[f11043,f3061,f4084,f4088]) ).
thf(f11146,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f10258,f27]) ).
thf(f11147,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f11146]) ).
thf(f11149,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_7
| ~ spl0_181 ),
inference(constrained_superposition,[],[f10903,f11147]) ).
thf(f11163,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_7
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f11149]) ).
thf(f11169,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_7
| ~ spl0_22 ),
inference(constrained_superposition,[],[f10903,f276]) ).
thf(f11178,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f26,f276]) ).
thf(f11179,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f11178]) ).
thf(f11182,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_7
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f11169]) ).
thf(f11190,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_22
| ~ spl0_127 ),
inference(constrained_superposition,[],[f11179,f4085]) ).
thf(f11206,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_22
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f11190]) ).
thf(f11207,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_15
| ~ spl0_22
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f11206,f209]) ).
thf(f11208,plain,
( spl0_79
| ~ spl0_15
| ~ spl0_22
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f11207,f4084,f275,f208,f3010]) ).
thf(f11209,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_7
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f11163,f29]) ).
thf(f11210,plain,
( spl0_9
| spl0_7
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f11182,f275,f163,f170]) ).
thf(f11211,plain,
( spl0_16
| spl0_9
| spl0_7
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f11209,f10257,f163,f170,f211]) ).
thf(f11219,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f26,f1966]) ).
thf(f11221,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f11219]) ).
thf(f11234,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f26,f3538]) ).
thf(f11237,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f11234]) ).
thf(f11240,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f26,f3028]) ).
thf(f11243,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f11240]) ).
thf(f11261,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_89 ),
inference(constrained_superposition,[],[f26,f3045]) ).
thf(f11262,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f11261]) ).
thf(f11324,plain,
! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) ),
inference(forward_subsumption_resolution,[],[f1644,f29]) ).
thf(f11325,plain,
( spl0_23
| spl0_1
| spl0_182 ),
inference(avatar_split_clause,[],[f11324,f10263,f72,f279]) ).
thf(f11368,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_98 ),
inference(constrained_superposition,[],[f3280,f56]) ).
thf(f11372,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f11368]) ).
thf(f11378,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_98
| spl0_102 ),
inference(forward_subsumption_resolution,[],[f11372,f5449]) ).
thf(f11379,plain,
( ~ spl0_17
| ~ spl0_98
| spl0_102 ),
inference(avatar_split_clause,[],[f11378,f3406,f3279,f243]) ).
thf(f11387,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_84
| ~ spl0_111 ),
inference(constrained_superposition,[],[f11237,f3028]) ).
thf(f11389,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_111 ),
inference(constrained_superposition,[],[f11237,f3001]) ).
thf(f11392,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f11389]) ).
thf(f11395,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_84
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f11387]) ).
thf(f11404,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_111 ),
inference(constrained_superposition,[],[f11237,f2952]) ).
thf(f11407,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f26,f2952]) ).
thf(f11408,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f11404]) ).
thf(f11410,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f11407]) ).
thf(f11416,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_84 ),
inference(constrained_superposition,[],[f11243,f3001]) ).
thf(f11419,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f11416]) ).
thf(f11458,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| ~ spl0_84
| ~ spl0_111 ),
inference(constrained_superposition,[],[f11395,f8860]) ).
thf(f11463,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_42
| ~ spl0_72 ),
inference(constrained_superposition,[],[f11410,f8860]) ).
thf(f11472,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_42
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f11463]) ).
thf(f11478,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_42
| ~ spl0_84
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f11458]) ).
thf(f11482,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_42
| ~ spl0_72
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f11472,f3028]) ).
thf(f11483,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_42
| ~ spl0_84
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f11478,f29]) ).
thf(f11484,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| ~ spl0_72
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f11482,f29]) ).
thf(f11485,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| ~ spl0_76
| ~ spl0_84
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f11483,f11392]) ).
thf(f11486,plain,
( spl0_79
| spl0_132
| ~ spl0_42
| ~ spl0_72
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f11484,f3027,f2951,f1980,f4369,f3010]) ).
thf(f11487,plain,
( spl0_53
| ~ spl0_42
| ~ spl0_76
| ~ spl0_84
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f11485,f3537,f3027,f3000,f1980,f2062]) ).
thf(f11492,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_29
| ~ spl0_72 ),
inference(constrained_superposition,[],[f11410,f330]) ).
thf(f11493,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_89 ),
inference(constrained_superposition,[],[f11262,f330]) ).
thf(f11494,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_38 ),
inference(constrained_superposition,[],[f11221,f330]) ).
thf(f11500,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f11493]) ).
thf(f11502,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f11494]) ).
thf(f11507,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f11492]) ).
thf(f11509,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_15
| ~ spl0_29
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f11500,f209]) ).
thf(f11510,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_15
| ~ spl0_29
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f11502,f209]) ).
thf(f11512,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_93 ),
inference(avatar_component_clause,[],[f3058]) ).
thf(f11513,plain,
( spl0_79
| ~ spl0_93
| ~ spl0_29
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f11507,f2951,f329,f3058,f3010]) ).
thf(f11514,plain,
( spl0_79
| ~ spl0_15
| ~ spl0_29
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f11509,f3044,f329,f208,f3010]) ).
thf(f11515,plain,
( $false
| ~ spl0_15
| ~ spl0_29
| ~ spl0_38
| ~ spl0_76
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f11510,f11419]) ).
thf(f11516,plain,
( ~ spl0_15
| ~ spl0_29
| ~ spl0_38
| ~ spl0_76
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f11515]) ).
thf(f11518,plain,
( ~ spl0_96
| ~ spl0_72
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f11408,f3537,f2951,f3068]) ).
thf(f11552,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f56,f212]) ).
thf(f11648,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f11552,f31]) ).
thf(f11659,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f11648,f28]) ).
thf(f11660,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f11659]) ).
thf(f11674,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f26,f2187]) ).
thf(f11675,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f11674]) ).
thf(f11690,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f26,f3011]) ).
thf(f11691,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f11690]) ).
thf(f11761,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f312,f2949]) ).
thf(f11769,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f30,f2949]) ).
thf(f11773,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f11761]) ).
thf(f11782,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f11769]) ).
thf(f11808,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f11782,f1543]) ).
thf(f11818,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f11808]) ).
thf(f11830,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f26,f10255]) ).
thf(f11832,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f11830]) ).
thf(f11852,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_22
| spl0_38 ),
inference(constrained_superposition,[],[f5115,f276]) ).
thf(f11861,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f26,f276]) ).
thf(f11865,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f11861]) ).
thf(f11866,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_22
| spl0_38 ),
inference(trivial_inequality_removal,[],[f11852]) ).
thf(f11873,plain,
( $false
| ~ spl0_22
| spl0_38
| ~ spl0_76
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f11866,f11419]) ).
thf(f11874,plain,
( ~ spl0_22
| spl0_38
| ~ spl0_76
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f11873]) ).
thf(f11877,plain,
( ~ spl0_142
| spl0_86
| spl0_82
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f11818,f2948,f3021,f3034,f4527]) ).
thf(f11882,plain,
( spl0_92
| ~ spl0_94
| spl0_93
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f11773,f2948,f3058,f3061,f3055]) ).
thf(f11919,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_57 ),
inference(constrained_superposition,[],[f11675,f330]) ).
thf(f11920,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_29
| ~ spl0_180 ),
inference(constrained_superposition,[],[f11832,f330]) ).
thf(f11923,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f11919]) ).
thf(f11926,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_29
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f11920]) ).
thf(f11928,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_15
| ~ spl0_29
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f11923,f209]) ).
thf(f11929,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_15
| ~ spl0_29
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f11926,f209]) ).
thf(f11930,plain,
( spl0_40
| ~ spl0_15
| ~ spl0_29
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f11928,f2186,f329,f208,f1973]) ).
thf(f11931,plain,
( spl0_33
| ~ spl0_15
| ~ spl0_29
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f11929,f10254,f329,f208,f569]) ).
thf(f11934,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_77
| ~ spl0_180 ),
inference(constrained_superposition,[],[f4738,f10255]) ).
thf(f11936,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_77
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f11934]) ).
thf(f11938,plain,
( spl0_106
| spl0_77
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f11936,f10254,f3003,f3432]) ).
thf(f11998,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f26,f3028]) ).
thf(f11999,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f11998]) ).
thf(f12074,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_22
| ~ spl0_84 ),
inference(constrained_superposition,[],[f11999,f276]) ).
thf(f12079,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_22
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f12074]) ).
thf(f12108,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_22
| ~ spl0_84 ),
inference(constrained_superposition,[],[f11865,f3028]) ).
thf(f12113,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_22
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f12108]) ).
thf(f12156,plain,
( spl0_76
| ~ spl0_38
| ~ spl0_22
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f12079,f3027,f275,f1965,f3000]) ).
thf(f12158,plain,
( spl0_76
| ~ spl0_57
| ~ spl0_22
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f12113,f3027,f275,f2186,f3000]) ).
thf(f12192,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f26,f2002]) ).
thf(f12194,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f12192]) ).
thf(f12205,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f26,f3407]) ).
thf(f12208,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f12205]) ).
thf(f12279,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f26,f2952]) ).
thf(f12283,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f12279]) ).
thf(f12319,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f3032,f141]) ).
thf(f12320,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f3032,f56]) ).
thf(f12324,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f12319]) ).
thf(f12328,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f12320]) ).
thf(f12333,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_79 ),
inference(constrained_superposition,[],[f12283,f3011]) ).
thf(f12337,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f12333]) ).
thf(f12378,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_29
| spl0_93 ),
inference(constrained_superposition,[],[f11512,f330]) ).
thf(f12380,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_29
| ~ spl0_102 ),
inference(constrained_superposition,[],[f12208,f330]) ).
thf(f12381,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_84 ),
inference(constrained_superposition,[],[f11999,f330]) ).
thf(f12390,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f12380]) ).
thf(f12398,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_29
| spl0_93 ),
inference(trivial_inequality_removal,[],[f12378]) ).
thf(f12401,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f12381]) ).
thf(f12402,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_15
| ~ spl0_29
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f12390,f209]) ).
thf(f12405,plain,
( $false
| ~ spl0_29
| ~ spl0_72
| ~ spl0_79
| spl0_93 ),
inference(forward_subsumption_resolution,[],[f12398,f12337]) ).
thf(f12406,plain,
( ~ spl0_29
| ~ spl0_72
| ~ spl0_79
| spl0_93 ),
inference(avatar_contradiction_clause,[],[f12405]) ).
thf(f12407,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_48
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f12401,f2002]) ).
thf(f12408,plain,
( $false
| ~ spl0_15
| ~ spl0_29
| ~ spl0_72
| ~ spl0_79
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f12402,f12337]) ).
thf(f12409,plain,
( ~ spl0_15
| ~ spl0_29
| ~ spl0_72
| ~ spl0_79
| ~ spl0_102 ),
inference(avatar_contradiction_clause,[],[f12408]) ).
thf(f12410,plain,
( $false
| ~ spl0_29
| ~ spl0_48
| ~ spl0_72
| ~ spl0_79
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f12407,f12337]) ).
thf(f12411,plain,
( ~ spl0_29
| ~ spl0_48
| ~ spl0_72
| ~ spl0_79
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f12410]) ).
thf(f12413,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f327,f27]) ).
thf(f12414,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
!= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f327,f36]) ).
thf(f12415,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f327,f57]) ).
thf(f12417,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f327,f56]) ).
thf(f12419,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12413]) ).
thf(f12421,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12417]) ).
thf(f12422,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12415]) ).
thf(f12423,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12414]) ).
thf(f12438,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f12419,f27]) ).
thf(f12441,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12438]) ).
thf(f12444,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f26,f12441]) ).
thf(f12445,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12444]) ).
thf(f12448,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f12423,f34]) ).
thf(f12450,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12448]) ).
thf(f12455,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f26,f12450]) ).
thf(f12457,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12455]) ).
thf(f12464,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f12422,f34]) ).
thf(f12466,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12464]) ).
thf(f12493,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f26,f5585]) ).
thf(f12495,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f12493]) ).
thf(f12502,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_102
| ~ spl0_152 ),
inference(constrained_superposition,[],[f12495,f3407]) ).
thf(f12503,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_22
| ~ spl0_152 ),
inference(constrained_superposition,[],[f12495,f276]) ).
thf(f12505,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_152 ),
inference(constrained_superposition,[],[f12495,f2952]) ).
thf(f12517,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_22
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f12503]) ).
thf(f12518,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f12505]) ).
thf(f12521,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_102
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f12502]) ).
thf(f12525,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_7
| ~ spl0_22
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f12517,f164]) ).
thf(f12527,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_52 ),
inference(avatar_component_clause,[],[f2058]) ).
thf(f12531,plain,
( spl0_33
| ~ spl0_7
| ~ spl0_22
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f12525,f5584,f275,f163,f569]) ).
thf(f12535,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_106 ),
inference(constrained_superposition,[],[f26,f3433]) ).
thf(f12536,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f12535]) ).
thf(f12537,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_52
| ~ spl0_152 ),
inference(constrained_superposition,[],[f12527,f5585]) ).
thf(f12541,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_28
| spl0_52 ),
inference(constrained_superposition,[],[f12527,f12441]) ).
thf(f12546,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_52
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f12537]) ).
thf(f12548,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_28
| spl0_52 ),
inference(trivial_inequality_removal,[],[f12541]) ).
thf(f12552,plain,
( spl0_50
| spl0_52
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f12546,f5584,f2058,f2008]) ).
thf(f12554,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_28
| spl0_52 ),
inference(forward_subsumption_resolution,[],[f12548,f29]) ).
thf(f12556,plain,
( spl0_53
| spl0_50
| ~ spl0_28
| spl0_52 ),
inference(avatar_split_clause,[],[f12554,f2058,f326,f2008,f2062]) ).
thf(f12563,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_102
| ~ spl0_106 ),
inference(constrained_superposition,[],[f12536,f3407]) ).
thf(f12572,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_102
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f12563]) ).
thf(f12581,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| spl0_23 ),
inference(avatar_component_clause,[],[f279]) ).
thf(f12585,plain,
( ~ spl0_23
| ~ spl0_102
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f12572,f3432,f3406,f279]) ).
thf(f12597,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f26,f570]) ).
thf(f12599,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f12597]) ).
thf(f12601,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f12599,f26]) ).
thf(f12602,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_33
| ~ spl0_102 ),
inference(constrained_superposition,[],[f12601,f3407]) ).
thf(f12613,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f12602]) ).
thf(f12624,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_7
| ~ spl0_28 ),
inference(constrained_superposition,[],[f12445,f164]) ).
thf(f12628,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_28
| ~ spl0_52 ),
inference(constrained_superposition,[],[f12445,f2059]) ).
thf(f12637,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( z = X0 ) )
| ~ spl0_7
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12624]) ).
thf(f12646,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_28
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f12628]) ).
thf(f12652,definition,
( spl0_184
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
thf(f12653,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f12652]) ).
thf(f12658,plain,
( spl0_184
| ~ spl0_7
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f12637,f326,f163,f12652]) ).
thf(f12662,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_102
| ~ spl0_184 ),
inference(constrained_superposition,[],[f12653,f3407]) ).
thf(f12669,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_102
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f12662]) ).
thf(f12796,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_7
| ~ spl0_28 ),
inference(constrained_superposition,[],[f12457,f164]) ).
thf(f12810,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_7
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12796]) ).
thf(f12824,definition,
( spl0_185
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
thf(f12825,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f12824]) ).
thf(f12830,plain,
( spl0_185
| ~ spl0_7
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f12810,f326,f163,f12824]) ).
thf(f12831,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_22
| ~ spl0_185 ),
inference(constrained_superposition,[],[f12825,f276]) ).
thf(f12832,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_102
| ~ spl0_185 ),
inference(constrained_superposition,[],[f12825,f3407]) ).
thf(f12836,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_102
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f12832]) ).
thf(f12837,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_22
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f12831]) ).
thf(f12885,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_22
| ~ spl0_185 ),
inference(constrained_superposition,[],[f26,f12837]) ).
thf(f12887,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_22
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f12885]) ).
thf(f12890,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_22
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f12887,f26]) ).
thf(f12988,definition,
( spl0_186
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f12989,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f12988]) ).
thf(f12992,definition,
( spl0_187
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f12993,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f12992]) ).
thf(f13207,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_110 ),
inference(avatar_component_clause,[],[f3534]) ).
thf(f13219,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
!= ( s @ z ) )
| spl0_104 ),
inference(avatar_component_clause,[],[f3426]) ).
thf(f13226,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| spl0_104 ),
inference(extensionality_resolution,[],[f1242,f13219]) ).
thf(f13227,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| spl0_104 ),
inference(extensionality_resolution,[],[f1242,f13219]) ).
thf(f13228,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_104 ),
inference(extensionality_resolution,[],[f138,f13219]) ).
thf(f13229,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| spl0_104 ),
inference(extensionality_resolution,[],[f138,f13219]) ).
thf(f13230,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| spl0_104 ),
inference(extensionality_resolution,[],[f1237,f13219]) ).
thf(f13231,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| spl0_104 ),
inference(extensionality_resolution,[],[f1237,f13219]) ).
thf(f13242,definition,
( spl0_189
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
thf(f13243,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f13242]) ).
thf(f13245,definition,
( spl0_190
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f13246,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f13245]) ).
thf(f13247,plain,
( spl0_189
| spl0_190
| spl0_104 ),
inference(avatar_split_clause,[],[f13228,f3426,f13245,f13242]) ).
thf(f13250,definition,
( spl0_191
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f13251,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f13250]) ).
thf(f13253,definition,
( spl0_192
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f13254,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f13253]) ).
thf(f13255,plain,
( spl0_191
| spl0_192
| spl0_104 ),
inference(avatar_split_clause,[],[f13229,f3426,f13253,f13250]) ).
thf(f13257,definition,
( spl0_193
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f13258,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f13257]) ).
thf(f13260,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_110 ),
inference(extensionality_resolution,[],[f1242,f13207]) ).
thf(f13261,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_110 ),
inference(extensionality_resolution,[],[f1242,f13207]) ).
thf(f13262,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| spl0_110 ),
inference(extensionality_resolution,[],[f138,f13207]) ).
thf(f13263,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_110 ),
inference(extensionality_resolution,[],[f138,f13207]) ).
thf(f13264,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| spl0_110 ),
inference(extensionality_resolution,[],[f1237,f13207]) ).
thf(f13265,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_110 ),
inference(extensionality_resolution,[],[f1237,f13207]) ).
thf(f13268,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_110 ),
inference(extensionality_resolution,[],[f57,f13207]) ).
thf(f13269,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_110 ),
inference(extensionality_resolution,[],[f57,f13207]) ).
thf(f13278,definition,
( spl0_194
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f13279,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f13278]) ).
thf(f13281,definition,
( spl0_195
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
thf(f13282,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f13281]) ).
thf(f13283,plain,
( spl0_194
| spl0_195
| spl0_110 ),
inference(avatar_split_clause,[],[f13262,f3534,f13281,f13278]) ).
thf(f13285,definition,
( spl0_196
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
thf(f13286,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f13285]) ).
thf(f13288,definition,
( spl0_197
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
thf(f13289,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f13288]) ).
thf(f13290,plain,
( spl0_196
| spl0_197
| spl0_110 ),
inference(avatar_split_clause,[],[f13263,f3534,f13288,f13285]) ).
thf(f13292,definition,
( spl0_198
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
thf(f13293,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f13292]) ).
thf(f13294,plain,
( spl0_198
| ~ spl0_147
| spl0_111
| spl0_110 ),
inference(avatar_split_clause,[],[f13261,f3534,f3537,f5301,f13292]) ).
thf(f13296,definition,
( spl0_199
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
thf(f13297,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f13296]) ).
thf(f13300,definition,
( spl0_200
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
thf(f13301,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f13300]) ).
thf(f13306,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f13301,f140]) ).
thf(f13307,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f13301,f56]) ).
thf(f13309,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f13306]) ).
thf(f13310,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f13307]) ).
thf(f13359,definition,
( spl0_201
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
thf(f13360,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f13359]) ).
thf(f13362,definition,
( spl0_202
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f13363,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f13362]) ).
thf(f13371,definition,
( spl0_204
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
thf(f13372,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f13371]) ).
thf(f13382,definition,
( spl0_207
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f13383,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f13382]) ).
thf(f13387,definition,
( spl0_208
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
thf(f13388,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f13387]) ).
thf(f13391,definition,
( spl0_209
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f13392,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f13391]) ).
thf(f13394,definition,
( spl0_210
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
thf(f13395,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| spl0_210 ),
inference(avatar_component_clause,[],[f13394]) ).
thf(f13399,definition,
( spl0_211
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
thf(f13400,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| spl0_211 ),
inference(avatar_component_clause,[],[f13399]) ).
thf(f13402,definition,
( spl0_212
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).
thf(f13403,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f13402]) ).
thf(f13450,definition,
( spl0_213
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
thf(f13451,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f13450]) ).
thf(f13454,definition,
( spl0_214
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
thf(f13455,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f13454]) ).
thf(f13466,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f26,f13372]) ).
thf(f13472,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f13466]) ).
thf(f13478,definition,
( spl0_215
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).
thf(f13479,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f13478]) ).
thf(f13485,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| spl0_210 ),
inference(constrained_superposition,[],[f13395,f35]) ).
thf(f13488,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| spl0_210 ),
inference(trivial_inequality_removal,[],[f13485]) ).
thf(f13499,definition,
( spl0_217
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).
thf(f13500,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f13499]) ).
thf(f13588,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_215 ),
inference(constrained_superposition,[],[f1543,f13479]) ).
thf(f13750,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[],[f13588,f28]) ).
thf(f13760,plain,
( $false
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[],[f13750,f31]) ).
thf(f13761,plain,
~ spl0_215,
inference(avatar_contradiction_clause,[],[f13760]) ).
thf(f13844,definition,
( spl0_218
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
thf(f13845,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_218 ),
inference(avatar_component_clause,[],[f13844]) ).
thf(f13848,definition,
( spl0_219
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
thf(f13849,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_219 ),
inference(avatar_component_clause,[],[f13848]) ).
thf(f13861,definition,
( spl0_222
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f13862,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_222 ),
inference(avatar_component_clause,[],[f13861]) ).
thf(f13882,definition,
( spl0_223
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f13883,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_223 ),
inference(avatar_component_clause,[],[f13882]) ).
thf(f13907,definition,
( spl0_224
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f13908,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f13907]) ).
thf(f13947,definition,
( spl0_225
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).
thf(f13948,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f13947]) ).
thf(f13950,definition,
( spl0_226
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).
thf(f13951,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f13950]) ).
thf(f13953,definition,
( spl0_227
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f13954,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_227 ),
inference(avatar_component_clause,[],[f13953]) ).
thf(f13962,definition,
( spl0_229
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).
thf(f13963,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f13962]) ).
thf(f13966,definition,
( spl0_230
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
thf(f13967,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f13966]) ).
thf(f13970,definition,
( spl0_231
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).
thf(f13971,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| spl0_231 ),
inference(avatar_component_clause,[],[f13970]) ).
thf(f13972,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f13882]) ).
thf(f13975,definition,
( spl0_232
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
thf(f13976,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f13975]) ).
thf(f13978,definition,
( spl0_233
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).
thf(f13979,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_233 ),
inference(avatar_component_clause,[],[f13978]) ).
thf(f13981,definition,
( spl0_234
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
thf(f13982,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f13981]) ).
thf(f14019,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_233 ),
inference(constrained_superposition,[],[f13979,f27]) ).
thf(f14021,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_233 ),
inference(trivial_inequality_removal,[],[f14019]) ).
thf(f14024,definition,
( spl0_238
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
thf(f14025,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f14024]) ).
thf(f14026,plain,
( spl0_126
| spl0_238
| spl0_233 ),
inference(avatar_split_clause,[],[f14021,f13978,f14024,f4081]) ).
thf(f14039,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_238 ),
inference(constrained_superposition,[],[f26,f14025]) ).
thf(f14047,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f14039]) ).
thf(f14069,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_227 ),
inference(constrained_superposition,[],[f13954,f27]) ).
thf(f14072,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_227 ),
inference(trivial_inequality_removal,[],[f14069]) ).
thf(f14078,definition,
( spl0_239
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).
thf(f14079,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f14078]) ).
thf(f14081,definition,
( spl0_240
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).
thf(f14082,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f14081]) ).
thf(f14083,plain,
( spl0_239
| spl0_240
| spl0_227 ),
inference(avatar_split_clause,[],[f14072,f13953,f14081,f14078]) ).
thf(f14089,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_219 ),
inference(constrained_superposition,[],[f13849,f140]) ).
thf(f14095,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_219 ),
inference(trivial_inequality_removal,[],[f14089]) ).
thf(f14099,plain,
( spl0_207
| spl0_219 ),
inference(avatar_split_clause,[],[f14095,f13848,f13382]) ).
thf(f14106,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f26,f13383]) ).
thf(f14111,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f14106]) ).
thf(f14116,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_224
| ~ spl0_238 ),
inference(constrained_superposition,[],[f14047,f13908]) ).
thf(f14126,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_224
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f14116]) ).
thf(f14129,plain,
( $false
| ~ spl0_1
| ~ spl0_224
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f14126,f73]) ).
thf(f14130,plain,
( ~ spl0_1
| ~ spl0_224
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f14129]) ).
thf(f14212,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_194
| ~ spl0_202 ),
inference(constrained_superposition,[],[f13363,f13279]) ).
thf(f14224,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_194
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f14212]) ).
thf(f14229,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_194
| ~ spl0_202 ),
inference(constrained_superposition,[],[f14224,f138]) ).
thf(f14236,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_194
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f14229]) ).
thf(f14238,definition,
( spl0_241
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).
thf(f14239,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f14238]) ).
thf(f14246,plain,
( spl0_241
| spl0_16
| ~ spl0_194
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f14236,f13362,f13278,f211,f14238]) ).
thf(f14282,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_106
| ~ spl0_241 ),
inference(constrained_superposition,[],[f12536,f14239]) ).
thf(f14285,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_33
| ~ spl0_241 ),
inference(constrained_superposition,[],[f12601,f14239]) ).
thf(f14287,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_185
| ~ spl0_241 ),
inference(constrained_superposition,[],[f12890,f14239]) ).
thf(f14298,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_22
| ~ spl0_185
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f14287]) ).
thf(f14299,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f14285]) ).
thf(f14303,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_106
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f14282]) ).
thf(f14307,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_22
| spl0_54
| ~ spl0_185
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f14298,f2920]) ).
thf(f14324,plain,
( ~ spl0_223
| ~ spl0_106
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f14303,f14238,f3432,f13882]) ).
thf(f14326,plain,
( ~ spl0_223
| ~ spl0_22
| spl0_54
| ~ spl0_185
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f14307,f14238,f12824,f2153,f275,f13882]) ).
thf(f14328,plain,
( ~ spl0_223
| ~ spl0_33
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f14299,f14238,f569,f13882]) ).
thf(f14332,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_33
| spl0_223 ),
inference(constrained_superposition,[],[f13883,f570]) ).
thf(f14339,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_33
| spl0_223 ),
inference(trivial_inequality_removal,[],[f14332]) ).
thf(f14345,plain,
( spl0_224
| ~ spl0_33
| spl0_223 ),
inference(avatar_split_clause,[],[f14339,f13882,f569,f13907]) ).
thf(f14358,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_224 ),
inference(constrained_superposition,[],[f26,f13908]) ).
thf(f14361,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f14358]) ).
thf(f14394,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_207
| ~ spl0_232 ),
inference(constrained_superposition,[],[f14111,f13976]) ).
thf(f14407,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_207
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f14394]) ).
thf(f14415,plain,
( $false
| ~ spl0_7
| ~ spl0_207
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f14407,f164]) ).
thf(f14416,plain,
( ~ spl0_7
| ~ spl0_207
| ~ spl0_232 ),
inference(avatar_contradiction_clause,[],[f14415]) ).
thf(f14426,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_28
| ~ spl0_52
| ~ spl0_239 ),
inference(constrained_superposition,[],[f12646,f14079]) ).
thf(f14428,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_152
| ~ spl0_239 ),
inference(constrained_superposition,[],[f12495,f14079]) ).
thf(f14435,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_52
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f14426]) ).
thf(f14437,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_152
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f14428]) ).
thf(f14445,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_28
| ~ spl0_52
| spl0_223
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f14435,f13883]) ).
thf(f14446,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_152
| spl0_223
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f14437,f13883]) ).
thf(f14448,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_52
| spl0_223
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f14445,f29]) ).
thf(f14449,plain,
( $false
| ~ spl0_52
| ~ spl0_152
| spl0_223
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f14446,f2059]) ).
thf(f14450,plain,
( ~ spl0_52
| ~ spl0_152
| spl0_223
| ~ spl0_239 ),
inference(avatar_contradiction_clause,[],[f14449]) ).
thf(f14453,plain,
( spl0_131
| ~ spl0_28
| ~ spl0_52
| spl0_223
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f14448,f14078,f13882,f2058,f326,f4365]) ).
thf(f14568,plain,
( ~ spl0_96
| spl0_106
| ~ spl0_72
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f12518,f5584,f2951,f3432,f3068]) ).
thf(f14569,plain,
( spl0_7
| ~ spl0_4
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f12421,f326,f82,f163]) ).
thf(f14570,plain,
( spl0_106
| ~ spl0_7
| ~ spl0_102
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f12521,f5584,f3406,f163,f3432]) ).
thf(f14571,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_54
| ~ spl0_102
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f12836,f2920]) ).
thf(f14573,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_102
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f12669,f29]) ).
thf(f14574,plain,
( ~ spl0_23
| ~ spl0_33
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f12613,f3406,f569,f279]) ).
thf(f14575,plain,
( spl0_23
| spl0_7
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f13310,f13300,f163,f279]) ).
thf(f14576,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_106 ),
inference(avatar_component_clause,[],[f3432]) ).
thf(f14581,plain,
( spl0_106
| spl0_54
| ~ spl0_102
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f14571,f12824,f3406,f2153,f3432]) ).
thf(f14582,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_102
| spl0_110
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f14573,f13207]) ).
thf(f14583,plain,
( spl0_106
| ~ spl0_102
| spl0_110
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f14582,f12652,f3534,f3406,f3432]) ).
thf(f14585,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_111 ),
inference(avatar_component_clause,[],[f3537]) ).
thf(f14633,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_111
| ~ spl0_152 ),
inference(constrained_superposition,[],[f14585,f5585]) ).
thf(f14637,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_28
| spl0_111 ),
inference(constrained_superposition,[],[f14585,f12441]) ).
thf(f14640,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_28
| spl0_111 ),
inference(trivial_inequality_removal,[],[f14637]) ).
thf(f14646,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_111
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f14633]) ).
thf(f14647,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_28
| spl0_111 ),
inference(forward_subsumption_resolution,[],[f14640,f29]) ).
thf(f14653,plain,
( $false
| spl0_106
| spl0_111
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f14646,f14576]) ).
thf(f14654,plain,
( spl0_106
| spl0_111
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[],[f14653]) ).
thf(f14655,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_28
| spl0_106
| spl0_111 ),
inference(forward_subsumption_resolution,[],[f14647,f14576]) ).
thf(f14664,plain,
( $false
| ~ spl0_28
| spl0_106
| spl0_110
| spl0_111 ),
inference(forward_subsumption_resolution,[],[f14655,f13207]) ).
thf(f14665,plain,
( ~ spl0_28
| spl0_106
| spl0_110
| spl0_111 ),
inference(avatar_contradiction_clause,[],[f14664]) ).
thf(f14668,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_28
| ~ spl0_111 ),
inference(constrained_superposition,[],[f12457,f3538]) ).
thf(f14671,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f26,f3538]) ).
thf(f14672,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_28
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f14668]) ).
thf(f14674,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f14671]) ).
thf(f14676,plain,
( spl0_187
| ~ spl0_28
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f14672,f3537,f326,f12992]) ).
thf(f14689,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_96
| ~ spl0_152 ),
inference(constrained_superposition,[],[f3408,f5585]) ).
thf(f14690,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_28
| spl0_96 ),
inference(constrained_superposition,[],[f3408,f12466]) ).
thf(f14697,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_28
| spl0_96 ),
inference(trivial_inequality_removal,[],[f14690]) ).
thf(f14700,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_96
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f14689]) ).
thf(f14703,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_28
| spl0_96 ),
inference(forward_subsumption_resolution,[],[f14697,f29]) ).
thf(f14706,plain,
( spl0_105
| spl0_96
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f14700,f5584,f3068,f3429]) ).
thf(f14708,plain,
( spl0_105
| ~ spl0_28
| spl0_96 ),
inference(avatar_split_clause,[],[f14703,f3068,f326,f3429]) ).
thf(f14718,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_84
| ~ spl0_111 ),
inference(constrained_superposition,[],[f14674,f3028]) ).
thf(f14724,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_84
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f14718]) ).
thf(f14731,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_204
| ~ spl0_226 ),
inference(constrained_superposition,[],[f13472,f13951]) ).
thf(f14739,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_204
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f14731]) ).
thf(f14741,plain,
( $false
| ~ spl0_50
| ~ spl0_204
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f14739,f2009]) ).
thf(f14742,plain,
( ~ spl0_50
| ~ spl0_204
| ~ spl0_226 ),
inference(avatar_contradiction_clause,[],[f14741]) ).
thf(f14749,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_143
| ~ spl0_189 ),
inference(constrained_superposition,[],[f4531,f13243]) ).
thf(f14775,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_143
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f14749]) ).
thf(f14783,plain,
( ~ spl0_218
| ~ spl0_143
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f14775,f13242,f4530,f13844]) ).
thf(f14799,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_111
| ~ spl0_190 ),
inference(constrained_superposition,[],[f14674,f13246]) ).
thf(f14803,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f26,f13246]) ).
thf(f14805,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f14803]) ).
thf(f14808,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_111
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f14799]) ).
thf(f14816,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_28
| ~ spl0_111
| ~ spl0_190 ),
inference(constrained_superposition,[],[f14808,f12466]) ).
thf(f14824,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_28
| ~ spl0_111
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f14816]) ).
thf(f14830,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_28
| ~ spl0_111
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f14824,f29]) ).
thf(f14837,plain,
( spl0_208
| ~ spl0_28
| ~ spl0_111
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f14830,f13245,f3537,f326,f13387]) ).
thf(f14867,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f1543,f13451]) ).
thf(f15011,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f14867,f31]) ).
thf(f15036,plain,
( $false
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f15011,f28]) ).
thf(f15037,plain,
~ spl0_213,
inference(avatar_contradiction_clause,[],[f15036]) ).
thf(f15040,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f26,f13388]) ).
thf(f15041,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f15040]) ).
thf(f15059,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f126,f13289]) ).
thf(f15078,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f15059]) ).
thf(f15087,definition,
( spl0_248
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).
thf(f15088,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| spl0_248 ),
inference(avatar_component_clause,[],[f15087]) ).
thf(f15090,definition,
( spl0_249
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
thf(f15091,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f15090]) ).
thf(f15092,plain,
( ~ spl0_248
| spl0_249
| spl0_238
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f15078,f13288,f14024,f15090,f15087]) ).
thf(f15108,definition,
( spl0_254
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).
thf(f15109,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_254 ),
inference(avatar_component_clause,[],[f15108]) ).
thf(f15112,definition,
( spl0_255
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).
thf(f15113,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_255 ),
inference(avatar_component_clause,[],[f15112]) ).
thf(f15116,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_196
| ~ spl0_224 ),
inference(constrained_superposition,[],[f14361,f13286]) ).
thf(f15121,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_196
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f15116]) ).
thf(f15122,plain,
( $false
| ~ spl0_196
| ~ spl0_208
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f15121,f13388]) ).
thf(f15123,plain,
( ~ spl0_196
| ~ spl0_208
| ~ spl0_224 ),
inference(avatar_contradiction_clause,[],[f15122]) ).
thf(f15124,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| spl0_248 ),
inference(constrained_superposition,[],[f15088,f56]) ).
thf(f15129,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| spl0_248 ),
inference(trivial_inequality_removal,[],[f15124]) ).
thf(f15132,plain,
( spl0_232
| spl0_248 ),
inference(avatar_split_clause,[],[f15129,f15087,f13975]) ).
thf(f15153,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_249 ),
inference(constrained_superposition,[],[f15091,f1544]) ).
thf(f15165,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f15153]) ).
thf(f15167,plain,
( spl0_226
| ~ spl0_56
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f15165,f15090,f2173,f13950]) ).
thf(f15265,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f13363,f141]) ).
thf(f15275,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f15265]) ).
thf(f15276,plain,
( spl0_217
| ~ spl0_99
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f15275,f13362,f3282,f13499]) ).
thf(f15476,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f13963,f1544]) ).
thf(f15477,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f13963,f141]) ).
thf(f15478,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f13963,f56]) ).
thf(f15481,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f15476]) ).
thf(f15482,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f15478]) ).
thf(f15485,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f15477]) ).
thf(f15488,plain,
( spl0_226
| ~ spl0_227
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f15481,f13962,f13953,f13950]) ).
thf(f15489,plain,
( spl0_232
| ~ spl0_233
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f15482,f13962,f13978,f13975]) ).
thf(f15490,plain,
( spl0_217
| ~ spl0_171
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f15485,f13962,f6676,f13499]) ).
thf(f15517,plain,
( spl0_204
| spl0_210 ),
inference(avatar_split_clause,[],[f13488,f13394,f13371]) ).
thf(f15544,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f13297,f1544]) ).
thf(f15552,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f15544]) ).
thf(f15572,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f26,f319]) ).
thf(f15585,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f15572]) ).
thf(f15587,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_174 ),
inference(avatar_component_clause,[],[f6686]) ).
thf(f15589,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_26
| spl0_174 ),
inference(constrained_superposition,[],[f15587,f319]) ).
thf(f15592,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_26
| spl0_174 ),
inference(trivial_inequality_removal,[],[f15589]) ).
thf(f15597,plain,
( spl0_238
| ~ spl0_26
| spl0_174 ),
inference(avatar_split_clause,[],[f15592,f6686,f318,f14024]) ).
thf(f15602,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_208
| ~ spl0_232 ),
inference(constrained_superposition,[],[f15041,f13976]) ).
thf(f15604,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_190
| ~ spl0_232 ),
inference(constrained_superposition,[],[f14805,f13976]) ).
thf(f15608,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_190
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f15604]) ).
thf(f15610,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_208
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f15602]) ).
thf(f15612,plain,
( $false
| ~ spl0_102
| ~ spl0_190
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f15608,f3407]) ).
thf(f15613,plain,
( ~ spl0_102
| ~ spl0_190
| ~ spl0_232 ),
inference(avatar_contradiction_clause,[],[f15612]) ).
thf(f15614,plain,
( $false
| ~ spl0_23
| ~ spl0_208
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f15610,f280]) ).
thf(f15615,plain,
( ~ spl0_23
| ~ spl0_208
| ~ spl0_232 ),
inference(avatar_contradiction_clause,[],[f15614]) ).
thf(f15624,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_231 ),
inference(constrained_superposition,[],[f13971,f34]) ).
thf(f15627,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| spl0_231 ),
inference(trivial_inequality_removal,[],[f15624]) ).
thf(f15642,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_48
| ~ spl0_230 ),
inference(constrained_superposition,[],[f12194,f13967]) ).
thf(f15648,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_48
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f15642]) ).
thf(f15650,plain,
( $false
| ~ spl0_48
| ~ spl0_172
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f15648,f6680]) ).
thf(f15651,plain,
( ~ spl0_48
| ~ spl0_172
| ~ spl0_230 ),
inference(avatar_contradiction_clause,[],[f15650]) ).
thf(f15661,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_238 ),
inference(constrained_superposition,[],[f26,f14025]) ).
thf(f15662,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f15661]) ).
thf(f15666,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_171 ),
inference(constrained_superposition,[],[f6677,f36]) ).
thf(f15667,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_171 ),
inference(constrained_superposition,[],[f6677,f27]) ).
thf(f15670,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_171 ),
inference(trivial_inequality_removal,[],[f15667]) ).
thf(f15671,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_171 ),
inference(trivial_inequality_removal,[],[f15666]) ).
thf(f15673,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_239 ),
inference(constrained_superposition,[],[f26,f14079]) ).
thf(f15675,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f15673]) ).
thf(f15683,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_234 ),
inference(constrained_superposition,[],[f13982,f35]) ).
thf(f15690,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f15683]) ).
thf(f15695,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_174
| ~ spl0_238 ),
inference(constrained_superposition,[],[f15662,f6687]) ).
thf(f15699,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_174
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f15695]) ).
thf(f15704,plain,
( $false
| ~ spl0_15
| ~ spl0_174
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f15699,f209]) ).
thf(f15705,plain,
( ~ spl0_15
| ~ spl0_174
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f15704]) ).
thf(f15706,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_104
| spl0_171 ),
inference(forward_subsumption_resolution,[],[f15671,f13219]) ).
thf(f15708,plain,
( spl0_131
| spl0_174
| spl0_171 ),
inference(avatar_split_clause,[],[f15670,f6676,f6686,f4365]) ).
thf(f15710,plain,
( spl0_174
| spl0_104
| spl0_171 ),
inference(avatar_split_clause,[],[f15706,f6676,f3426,f6686]) ).
thf(f15719,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_217 ),
inference(constrained_superposition,[],[f26,f13500]) ).
thf(f15721,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f15719]) ).
thf(f15746,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f1952,f13279]) ).
thf(f15773,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f15746]) ).
thf(f15781,plain,
( spl0_230
| spl0_229
| ~ spl0_218
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f15773,f13278,f13844,f13962,f13966]) ).
thf(f15783,definition,
( spl0_259
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_259])],[avatar_definition]) ).
thf(f15784,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_259 ),
inference(avatar_component_clause,[],[f15783]) ).
thf(f15786,definition,
( spl0_260
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).
thf(f15787,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f15786]) ).
thf(f15790,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_259 ),
inference(constrained_superposition,[],[f15784,f35]) ).
thf(f15792,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_259 ),
inference(trivial_inequality_removal,[],[f15790]) ).
thf(f15794,plain,
( spl0_224
| spl0_259 ),
inference(avatar_split_clause,[],[f15792,f15783,f13907]) ).
thf(f15804,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_192
| ~ spl0_217 ),
inference(constrained_superposition,[],[f15721,f13254]) ).
thf(f15811,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_192
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f15804]) ).
thf(f15814,plain,
( $false
| ~ spl0_111
| ~ spl0_192
| ~ spl0_217 ),
inference(forward_subsumption_resolution,[],[f15811,f3538]) ).
thf(f15815,plain,
( ~ spl0_111
| ~ spl0_192
| ~ spl0_217 ),
inference(avatar_contradiction_clause,[],[f15814]) ).
thf(f15817,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_111
| ~ spl0_241 ),
inference(constrained_superposition,[],[f14674,f14239]) ).
thf(f15825,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_111
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f15817]) ).
thf(f15829,plain,
( $false
| ~ spl0_111
| ~ spl0_172
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f15825,f6680]) ).
thf(f15830,plain,
( ~ spl0_111
| ~ spl0_172
| ~ spl0_241 ),
inference(avatar_contradiction_clause,[],[f15829]) ).
thf(f15838,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_111
| ~ spl0_152
| ~ spl0_241 ),
inference(constrained_superposition,[],[f15825,f5585]) ).
thf(f15841,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_28
| ~ spl0_111
| ~ spl0_241 ),
inference(constrained_superposition,[],[f15825,f12450]) ).
thf(f15842,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_28
| ~ spl0_111
| ~ spl0_241 ),
inference(constrained_superposition,[],[f15825,f12441]) ).
thf(f15845,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_28
| ~ spl0_111
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f15842]) ).
thf(f15846,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_28
| ~ spl0_111
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f15841]) ).
thf(f15848,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_111
| ~ spl0_152
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f15838]) ).
thf(f15851,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_111
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f15845,f29]) ).
thf(f15852,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_28
| spl0_104
| ~ spl0_111
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f15846,f13219]) ).
thf(f15863,plain,
( spl0_223
| ~ spl0_111
| ~ spl0_152
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f15848,f14238,f5584,f3537,f13882]) ).
thf(f15866,plain,
( spl0_223
| spl0_131
| ~ spl0_28
| ~ spl0_111
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f15851,f14238,f3537,f326,f4365,f13882]) ).
thf(f15867,plain,
( spl0_223
| ~ spl0_28
| spl0_104
| ~ spl0_111
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f15852,f14238,f3537,f3426,f326,f13882]) ).
thf(f15917,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f141,f4366]) ).
thf(f16084,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f15917,f31]) ).
thf(f16118,plain,
( $false
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f16084,f28]) ).
thf(f16119,plain,
~ spl0_131,
inference(avatar_contradiction_clause,[],[f16118]) ).
thf(f16131,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_223 ),
inference(constrained_superposition,[],[f26,f13972]) ).
thf(f16132,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f16131]) ).
thf(f16136,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_223
| ~ spl0_238 ),
inference(constrained_superposition,[],[f16132,f14025]) ).
thf(f16137,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_196
| ~ spl0_223 ),
inference(constrained_superposition,[],[f16132,f13286]) ).
thf(f16138,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_223
| ~ spl0_239 ),
inference(constrained_superposition,[],[f16132,f14079]) ).
thf(f16142,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_223
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f16136]) ).
thf(f16144,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_196
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f16137]) ).
thf(f16145,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_223
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f16138]) ).
thf(f16146,plain,
( $false
| ~ spl0_23
| ~ spl0_223
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f16142,f280]) ).
thf(f16147,plain,
( ~ spl0_23
| ~ spl0_223
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f16146]) ).
thf(f16148,plain,
( $false
| ~ spl0_196
| ~ spl0_208
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f16144,f13388]) ).
thf(f16149,plain,
( ~ spl0_196
| ~ spl0_208
| ~ spl0_223 ),
inference(avatar_contradiction_clause,[],[f16148]) ).
thf(f16150,plain,
( $false
| ~ spl0_50
| ~ spl0_223
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f16145,f2009]) ).
thf(f16151,plain,
( ~ spl0_50
| ~ spl0_223
| ~ spl0_239 ),
inference(avatar_contradiction_clause,[],[f16150]) ).
thf(f16198,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_195 ),
inference(constrained_superposition,[],[f15585,f13282]) ).
thf(f16199,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_192 ),
inference(constrained_superposition,[],[f15585,f13254]) ).
thf(f16212,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f16199]) ).
thf(f16218,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f16198]) ).
thf(f16223,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_111
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f16212,f3538]) ).
thf(f16224,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_172 ),
inference(avatar_component_clause,[],[f6679]) ).
thf(f16225,plain,
( ~ spl0_172
| spl0_232
| ~ spl0_26
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f16218,f13281,f318,f13975,f6679]) ).
thf(f16226,plain,
( spl0_232
| ~ spl0_26
| ~ spl0_111
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f16223,f13253,f3537,f318,f13975]) ).
thf(f16227,plain,
( spl0_137
| ~ spl0_163
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f12328,f3031,f6092,f4459]) ).
thf(f16228,plain,
( spl0_167
| ~ spl0_4
| spl0_102
| ~ spl0_147
| spl0_104 ),
inference(avatar_split_clause,[],[f13231,f3426,f5301,f3406,f82,f6183]) ).
thf(f16229,plain,
( ~ spl0_52
| ~ spl0_84
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f14724,f3537,f3027,f2058]) ).
thf(f16230,plain,
( spl0_127
| ~ spl0_99
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f12324,f3031,f3282,f4084]) ).
thf(f16231,plain,
( spl0_152
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f13309,f13300,f5584]) ).
thf(f16233,plain,
( spl0_93
| ~ spl0_11
| ~ spl0_147
| spl0_200
| spl0_110 ),
inference(avatar_split_clause,[],[f13264,f3534,f13300,f5301,f177,f3058]) ).
thf(f16234,plain,
( spl0_40
| ~ spl0_62
| spl0_84
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f15552,f13296,f3027,f2313,f1973]) ).
thf(f16238,definition,
( spl0_261
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).
thf(f16239,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f16238]) ).
thf(f16240,plain,
( spl0_102
| ~ spl0_6
| spl0_261
| spl0_104 ),
inference(avatar_split_clause,[],[f13227,f3426,f16238,f110,f3406]) ).
thf(f16243,definition,
( spl0_262
<=> ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
thf(f16244,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f16243]) ).
thf(f16245,plain,
( spl0_111
| ~ spl0_133
| spl0_262
| ~ spl0_20
| spl0_110 ),
inference(avatar_split_clause,[],[f13265,f3534,f253,f16243,f4420,f3537]) ).
thf(f16246,plain,
( ~ spl0_133
| spl0_77
| ~ spl0_6
| spl0_262
| spl0_104 ),
inference(avatar_split_clause,[],[f13230,f3426,f16243,f110,f3003,f4420]) ).
thf(f16248,plain,
( spl0_199
| spl0_93
| ~ spl0_20
| spl0_110 ),
inference(avatar_split_clause,[],[f13260,f3534,f253,f3058,f13296]) ).
thf(f16249,plain,
( spl0_193
| spl0_77
| ~ spl0_147
| spl0_104 ),
inference(avatar_split_clause,[],[f13226,f3426,f5301,f3003,f13257]) ).
thf(f16250,plain,
( ~ spl0_6
| spl0_224
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f15690,f13981,f13907,f110]) ).
thf(f16258,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f26,f171]) ).
thf(f16259,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f16258]) ).
thf(f16277,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_106 ),
inference(constrained_superposition,[],[f26,f3433]) ).
thf(f16278,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f16277]) ).
thf(f16291,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f26,f2059]) ).
thf(f16293,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f16291]) ).
thf(f16294,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_77
| ~ spl0_187 ),
inference(constrained_superposition,[],[f12993,f3004]) ).
thf(f16298,plain,
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_77
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f16294]) ).
thf(f16301,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_77
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f16298,f29]) ).
thf(f16303,plain,
( $false
| spl0_23
| ~ spl0_77
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f16301,f12581]) ).
thf(f16304,plain,
( spl0_23
| ~ spl0_77
| ~ spl0_187 ),
inference(avatar_contradiction_clause,[],[f16303]) ).
thf(f16320,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_224
| ~ spl0_239 ),
inference(constrained_superposition,[],[f15675,f13908]) ).
thf(f16321,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_224 ),
inference(constrained_superposition,[],[f26,f13908]) ).
thf(f16322,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_224
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f16320]) ).
thf(f16323,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f16321]) ).
thf(f16355,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_9
| ~ spl0_172 ),
inference(constrained_superposition,[],[f16259,f6680]) ).
thf(f16359,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_9
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f16355]) ).
thf(f16428,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_126 ),
inference(constrained_superposition,[],[f141,f4082]) ).
thf(f16531,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f16428,f28]) ).
thf(f16554,plain,
( $false
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f16531,f31]) ).
thf(f16555,plain,
~ spl0_126,
inference(avatar_contradiction_clause,[],[f16554]) ).
thf(f16569,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_106
| ~ spl0_190 ),
inference(constrained_superposition,[],[f16278,f13246]) ).
thf(f16574,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_106
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f16569]) ).
thf(f16576,plain,
( $false
| ~ spl0_106
| ~ spl0_190
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f16574,f13388]) ).
thf(f16577,plain,
( ~ spl0_106
| ~ spl0_190
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f16576]) ).
thf(f16578,plain,
( spl0_208
| spl0_231 ),
inference(avatar_split_clause,[],[f15627,f13970,f13387]) ).
thf(f16580,plain,
( ~ spl0_223
| ~ spl0_9
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f16359,f6679,f170,f13882]) ).
thf(f16623,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f10452,f141]) ).
thf(f16624,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f10452,f56]) ).
thf(f16628,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f16624]) ).
thf(f16631,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f16623]) ).
thf(f16701,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_214 ),
inference(constrained_superposition,[],[f1543,f13455]) ).
thf(f16783,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f16701,f28]) ).
thf(f16807,plain,
( $false
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f16783,f31]) ).
thf(f16808,plain,
~ spl0_214,
inference(avatar_contradiction_clause,[],[f16807]) ).
thf(f16821,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_260 ),
inference(constrained_superposition,[],[f15787,f56]) ).
thf(f16828,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f16821]) ).
thf(f16831,plain,
( spl0_238
| ~ spl0_4
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f16828,f15786,f82,f14024]) ).
thf(f16842,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_86 ),
inference(constrained_superposition,[],[f16293,f3035]) ).
thf(f16845,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_52
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f16842]) ).
thf(f16848,plain,
( $false
| ~ spl0_52
| ~ spl0_86
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f16845,f3069]) ).
thf(f16849,plain,
( ~ spl0_52
| ~ spl0_86
| ~ spl0_96 ),
inference(avatar_contradiction_clause,[],[f16848]) ).
thf(f16850,plain,
( spl0_31
| spl0_48
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f16631,f10451,f2001,f350]) ).
thf(f16851,plain,
( $false
| ~ spl0_40
| ~ spl0_224
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f1974,f16322]) ).
thf(f16852,plain,
( ~ spl0_40
| ~ spl0_224
| ~ spl0_239 ),
inference(avatar_contradiction_clause,[],[f16851]) ).
thf(f16855,plain,
( spl0_74
| spl0_73
| spl0_110 ),
inference(avatar_split_clause,[],[f13268,f3534,f2955,f2958]) ).
thf(f16856,plain,
( spl0_38
| spl0_23
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f16628,f10451,f279,f1965]) ).
thf(f16862,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f26,f280]) ).
thf(f16863,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f16862]) ).
thf(f16868,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f26,f1974]) ).
thf(f16869,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f16868]) ).
thf(f16885,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_23 ),
inference(constrained_superposition,[],[f16863,f209]) ).
thf(f16887,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_15
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f16885]) ).
thf(f16892,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f26,f2002]) ).
thf(f16893,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f16892]) ).
thf(f16916,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f327,f27]) ).
thf(f16918,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f327,f57]) ).
thf(f16926,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f16916]) ).
thf(f16927,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f16918]) ).
thf(f16936,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f26,f3538]) ).
thf(f16937,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f16936]) ).
thf(f16962,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_40
| ~ spl0_230 ),
inference(constrained_superposition,[],[f16869,f13967]) ).
thf(f16966,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_40
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f16962]) ).
thf(f17012,definition,
( spl0_265
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
thf(f17013,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f17012]) ).
thf(f17016,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_23
| ~ spl0_265 ),
inference(constrained_superposition,[],[f16863,f17013]) ).
thf(f17019,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_23
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f17016]) ).
thf(f17020,plain,
( $false
| ~ spl0_23
| ~ spl0_208
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f17019,f13388]) ).
thf(f17021,plain,
( ~ spl0_23
| ~ spl0_208
| ~ spl0_265 ),
inference(avatar_contradiction_clause,[],[f17020]) ).
thf(f17024,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_40
| ~ spl0_48 ),
inference(constrained_superposition,[],[f16893,f1974]) ).
thf(f17028,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_40
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f17024]) ).
thf(f17030,plain,
( $false
| ~ spl0_9
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f17028,f171]) ).
thf(f17031,plain,
( ~ spl0_9
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f17030]) ).
thf(f17036,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_224
| ~ spl0_238 ),
inference(constrained_superposition,[],[f16323,f14025]) ).
thf(f17039,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_224
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f17036]) ).
thf(f17042,plain,
( $false
| ~ spl0_23
| ~ spl0_224
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f17039,f280]) ).
thf(f17043,plain,
( ~ spl0_23
| ~ spl0_224
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f17042]) ).
thf(f17044,plain,
( ~ spl0_223
| ~ spl0_40
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f16966,f13966,f1973,f13882]) ).
thf(f17085,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_262 ),
inference(constrained_superposition,[],[f16244,f141]) ).
thf(f17089,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f17085]) ).
thf(f17095,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_15
| ~ spl0_23
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f17089,f16887]) ).
thf(f17096,plain,
( $false
| ~ spl0_15
| ~ spl0_23
| spl0_93
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f17095,f11512]) ).
thf(f17097,plain,
( ~ spl0_15
| ~ spl0_23
| spl0_93
| ~ spl0_262 ),
inference(avatar_contradiction_clause,[],[f17096]) ).
thf(f17117,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f26,f6687]) ).
thf(f17119,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f17117]) ).
thf(f17175,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f13392,f141]) ).
thf(f17180,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f17175]) ).
thf(f17242,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f26,f13372]) ).
thf(f17243,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f17242]) ).
thf(f17259,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_204
| ~ spl0_232 ),
inference(constrained_superposition,[],[f17243,f13976]) ).
thf(f17264,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_204
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f17259]) ).
thf(f17266,plain,
( $false
| ~ spl0_23
| ~ spl0_204
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f17264,f280]) ).
thf(f17267,plain,
( ~ spl0_23
| ~ spl0_204
| ~ spl0_232 ),
inference(avatar_contradiction_clause,[],[f17266]) ).
thf(f17268,plain,
( ~ spl0_11
| spl0_217
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f17180,f13391,f13499,f177]) ).
thf(f17270,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_254 ),
inference(constrained_superposition,[],[f15109,f36]) ).
thf(f17273,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_254 ),
inference(trivial_inequality_removal,[],[f17270]) ).
thf(f17275,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_254 ),
inference(forward_subsumption_resolution,[],[f17273,f29]) ).
thf(f17277,definition,
( spl0_266
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
thf(f17278,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f17277]) ).
thf(f17280,plain,
( spl0_266
| spl0_254 ),
inference(avatar_split_clause,[],[f17275,f15108,f17277]) ).
thf(f17281,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_32
| ~ spl0_266 ),
inference(constrained_superposition,[],[f502,f17278]) ).
thf(f17282,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_23
| ~ spl0_266 ),
inference(constrained_superposition,[],[f16863,f17278]) ).
thf(f17284,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_23
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f17282]) ).
thf(f17285,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f17281]) ).
thf(f17287,plain,
( $false
| ~ spl0_23
| ~ spl0_223
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f17284,f13972]) ).
thf(f17288,plain,
( ~ spl0_23
| ~ spl0_223
| ~ spl0_266 ),
inference(avatar_contradiction_clause,[],[f17287]) ).
thf(f17289,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f17285,f29]) ).
thf(f17290,plain,
( spl0_131
| ~ spl0_32
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f17289,f17277,f501,f4365]) ).
thf(f17295,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_173 ),
inference(constrained_superposition,[],[f6684,f57]) ).
thf(f17301,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_173 ),
inference(trivial_inequality_removal,[],[f17295]) ).
thf(f17306,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_172
| spl0_173 ),
inference(forward_subsumption_resolution,[],[f17301,f16224]) ).
thf(f17310,plain,
( $false
| spl0_172
| spl0_173 ),
inference(forward_subsumption_resolution,[],[f17306,f29]) ).
thf(f17311,plain,
( spl0_172
| spl0_173 ),
inference(avatar_contradiction_clause,[],[f17310]) ).
thf(f17312,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f26,f13388]) ).
thf(f17313,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f17312]) ).
thf(f17314,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_255 ),
inference(constrained_superposition,[],[f15113,f1543]) ).
thf(f17316,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_255 ),
inference(constrained_superposition,[],[f15113,f57]) ).
thf(f17318,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_255 ),
inference(constrained_superposition,[],[f15113,f27]) ).
thf(f17320,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_255 ),
inference(trivial_inequality_removal,[],[f17314]) ).
thf(f17322,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_255 ),
inference(trivial_inequality_removal,[],[f17318]) ).
thf(f17323,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_255 ),
inference(trivial_inequality_removal,[],[f17316]) ).
thf(f17325,plain,
( spl0_230
| spl0_255 ),
inference(avatar_split_clause,[],[f17320,f15112,f13966]) ).
thf(f17327,plain,
( spl0_240
| spl0_230
| spl0_255 ),
inference(avatar_split_clause,[],[f17322,f15112,f13966,f14081]) ).
thf(f17328,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_54
| spl0_255 ),
inference(forward_subsumption_resolution,[],[f17323,f2920]) ).
thf(f17330,plain,
( spl0_230
| spl0_54
| spl0_255 ),
inference(avatar_split_clause,[],[f17328,f15112,f2153,f13966]) ).
thf(f17343,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_208
| ~ spl0_226 ),
inference(constrained_superposition,[],[f17313,f13951]) ).
thf(f17345,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_208
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f17343]) ).
thf(f17347,plain,
( $false
| ~ spl0_50
| ~ spl0_208
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f17345,f2009]) ).
thf(f17348,plain,
( ~ spl0_50
| ~ spl0_208
| ~ spl0_226 ),
inference(avatar_contradiction_clause,[],[f17347]) ).
thf(f17353,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f26,f2059]) ).
thf(f17354,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f17353]) ).
thf(f17364,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f26,f13246]) ).
thf(f17365,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f17364]) ).
thf(f17396,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f26,f13282]) ).
thf(f17397,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f17396]) ).
thf(f17448,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f13258,f1543]) ).
thf(f17449,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f13258,f140]) ).
thf(f17458,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f17448]) ).
thf(f17459,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f17449]) ).
thf(f17465,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_261 ),
inference(constrained_superposition,[],[f16239,f1544]) ).
thf(f17473,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f17465]) ).
thf(f17478,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_195
| ~ spl0_226 ),
inference(constrained_superposition,[],[f17397,f13951]) ).
thf(f17482,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_195
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f17478]) ).
thf(f17519,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_240 ),
inference(constrained_superposition,[],[f1544,f14082]) ).
thf(f17653,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f17519,f28]) ).
thf(f17673,plain,
( $false
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f17653,f31]) ).
thf(f17674,plain,
~ spl0_240,
inference(avatar_contradiction_clause,[],[f17673]) ).
thf(f17699,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f16926,f27]) ).
thf(f17702,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f17699]) ).
thf(f17734,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_48 ),
inference(avatar_component_clause,[],[f2001]) ).
thf(f17745,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f26,f17702]) ).
thf(f17746,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_28
| spl0_172 ),
inference(constrained_superposition,[],[f16224,f17702]) ).
thf(f17750,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f17745]) ).
thf(f17753,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_28
| spl0_172 ),
inference(trivial_inequality_removal,[],[f17746]) ).
thf(f17754,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_28
| spl0_172 ),
inference(forward_subsumption_resolution,[],[f17753,f29]) ).
thf(f17755,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_28
| spl0_172
| spl0_223 ),
inference(forward_subsumption_resolution,[],[f17754,f13883]) ).
thf(f17756,plain,
( spl0_131
| ~ spl0_28
| spl0_172
| spl0_223 ),
inference(avatar_split_clause,[],[f17755,f13882,f6679,f326,f4365]) ).
thf(f17780,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f16927,f34]) ).
thf(f17783,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f17780]) ).
thf(f17788,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f26,f17783]) ).
thf(f17790,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( z = X0 ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f17788]) ).
thf(f17808,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_187
| ~ spl0_192 ),
inference(constrained_superposition,[],[f12993,f13254]) ).
thf(f17812,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_187
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f17808]) ).
thf(f17816,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f26,f5585]) ).
thf(f17818,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f17816]) ).
thf(f17846,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_28
| ~ spl0_111 ),
inference(constrained_superposition,[],[f17750,f3538]) ).
thf(f17865,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_28
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f17846]) ).
thf(f17866,plain,
( spl0_186
| ~ spl0_28
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f17865,f3537,f326,f12988]) ).
thf(f17873,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_186
| ~ spl0_192 ),
inference(constrained_superposition,[],[f12989,f13254]) ).
thf(f17875,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_186
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f17873]) ).
thf(f17909,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_28
| ~ spl0_111 ),
inference(constrained_superposition,[],[f17790,f3538]) ).
thf(f17924,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_28
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f17909]) ).
thf(f17946,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_36
| spl0_102 ),
inference(constrained_superposition,[],[f5449,f1654]) ).
thf(f17956,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_36
| ~ spl0_174 ),
inference(constrained_superposition,[],[f17119,f1654]) ).
thf(f17960,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_36
| ~ spl0_152 ),
inference(constrained_superposition,[],[f17818,f1654]) ).
thf(f17969,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_36
| spl0_102 ),
inference(trivial_inequality_removal,[],[f17946]) ).
thf(f17980,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_36
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f17956]) ).
thf(f17987,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_152 ),
inference(duplicate_literal_removal,[],[f17960]) ).
thf(f17988,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_36
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f17987]) ).
thf(f17991,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_36
| ~ spl0_72
| ~ spl0_79
| spl0_102 ),
inference(forward_subsumption_resolution,[],[f17969,f12337]) ).
thf(f17992,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_7
| ~ spl0_36
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f17980,f164]) ).
thf(f17994,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_7
| ~ spl0_36
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f17988,f164]) ).
thf(f17996,plain,
( $false
| ~ spl0_36
| ~ spl0_72
| ~ spl0_79
| spl0_102
| spl0_106 ),
inference(forward_subsumption_resolution,[],[f17991,f14576]) ).
thf(f17997,plain,
( ~ spl0_36
| ~ spl0_72
| ~ spl0_79
| spl0_102
| spl0_106 ),
inference(avatar_contradiction_clause,[],[f17996]) ).
thf(f17998,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_7
| ~ spl0_36
| ~ spl0_174
| spl0_223 ),
inference(forward_subsumption_resolution,[],[f17992,f13883]) ).
thf(f18000,plain,
( spl0_33
| ~ spl0_7
| ~ spl0_36
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f17994,f5584,f1653,f163,f569]) ).
thf(f18001,plain,
( spl0_224
| ~ spl0_7
| ~ spl0_36
| ~ spl0_174
| spl0_223 ),
inference(avatar_split_clause,[],[f17998,f13882,f6686,f1653,f163,f13907]) ).
thf(f18004,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_182 ),
inference(constrained_superposition,[],[f10264,f35]) ).
thf(f18006,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f18004]) ).
thf(f18011,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_77
| ~ spl0_182 ),
inference(constrained_superposition,[],[f4738,f18006]) ).
thf(f18028,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_77
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f18011]) ).
thf(f18043,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_77
| spl0_106
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[],[f18028,f14576]) ).
thf(f18047,plain,
( $false
| ~ spl0_72
| spl0_77
| ~ spl0_79
| spl0_106
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[],[f18043,f12337]) ).
thf(f18048,plain,
( ~ spl0_72
| spl0_77
| ~ spl0_79
| spl0_106
| ~ spl0_182 ),
inference(avatar_contradiction_clause,[],[f18047]) ).
thf(f18196,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f1981,f27]) ).
thf(f18197,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f18196]) ).
thf(f18209,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| ~ spl0_195
| ~ spl0_226 ),
inference(constrained_superposition,[],[f17482,f18197]) ).
thf(f18219,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| ~ spl0_174 ),
inference(constrained_superposition,[],[f17119,f18197]) ).
thf(f18220,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_42
| ~ spl0_111 ),
inference(constrained_superposition,[],[f16937,f18197]) ).
thf(f18230,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_42
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f18219]) ).
thf(f18253,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| ~ spl0_195
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f18209]) ).
thf(f18260,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_42
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f18220]) ).
thf(f18263,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_42
| ~ spl0_52
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f18230,f2059]) ).
thf(f18269,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_42
| ~ spl0_195
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f18253,f29]) ).
thf(f18271,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_42
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f18260,f29]) ).
thf(f18274,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| ~ spl0_52
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f18263,f29]) ).
thf(f18279,plain,
( spl0_224
| spl0_240
| ~ spl0_42
| ~ spl0_195
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f18269,f13950,f13281,f1980,f14081,f13907]) ).
thf(f18284,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_42
| ~ spl0_52
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f18271,f2059]) ).
thf(f18286,plain,
( spl0_240
| spl0_224
| ~ spl0_42
| ~ spl0_52
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f18274,f6686,f2058,f1980,f13907,f14081]) ).
thf(f18293,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| ~ spl0_52
| ~ spl0_72
| ~ spl0_79
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f18284,f12337]) ).
thf(f18295,plain,
( spl0_113
| ~ spl0_42
| ~ spl0_52
| ~ spl0_72
| ~ spl0_79
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f18293,f3537,f3010,f2951,f2058,f1980,f3559]) ).
thf(f18297,plain,
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_28
| ~ spl0_43
| ~ spl0_111 ),
inference(constrained_superposition,[],[f17924,f1984]) ).
thf(f18305,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) )
| ~ spl0_43
| ~ spl0_52 ),
inference(constrained_superposition,[],[f17354,f1984]) ).
thf(f18307,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_43
| ~ spl0_152 ),
inference(constrained_superposition,[],[f17818,f1984]) ).
thf(f18319,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) )
| ~ spl0_43
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f18305]) ).
thf(f18321,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_28
| ~ spl0_43
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f18297]) ).
thf(f18322,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_43
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f18307]) ).
thf(f18333,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ~ spl0_43
| ~ spl0_52
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f18319,f5585]) ).
thf(f18335,plain,
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_28
| ~ spl0_43
| spl0_106
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f18321,f14576]) ).
thf(f18336,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_43
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f18322,f5585]) ).
thf(f18345,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_28
| ~ spl0_43
| spl0_106
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f18335,f29]) ).
thf(f18347,definition,
( spl0_272
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
thf(f18348,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f18347]) ).
thf(f18349,plain,
( spl0_50
| spl0_272
| ~ spl0_43
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f18336,f5584,f1983,f18347,f2008]) ).
thf(f18356,plain,
( spl0_50
| ~ spl0_28
| ~ spl0_43
| spl0_106
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f18345,f3537,f3432,f1983,f326,f2008]) ).
thf(f18358,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f26,f2009]) ).
thf(f18359,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f18358]) ).
thf(f18360,plain,
( spl0_272
| ~ spl0_43
| ~ spl0_52
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f18333,f5584,f2058,f1983,f18347]) ).
thf(f18361,plain,
( ( $true != $true )
| spl0_106
| ~ spl0_272 ),
inference(constrained_superposition,[],[f14576,f18348]) ).
thf(f18362,plain,
( ( $true != $true )
| spl0_223
| ~ spl0_272 ),
inference(constrained_superposition,[],[f13883,f18348]) ).
thf(f18364,plain,
( $false
| spl0_223
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f18362]) ).
thf(f18365,plain,
( spl0_223
| ~ spl0_272 ),
inference(avatar_contradiction_clause,[],[f18364]) ).
thf(f18367,plain,
( $false
| spl0_106
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f18361]) ).
thf(f18368,plain,
( spl0_106
| ~ spl0_272 ),
inference(avatar_contradiction_clause,[],[f18367]) ).
thf(f18383,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f1981,f27]) ).
thf(f18385,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f18383]) ).
thf(f18393,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_42
| spl0_52 ),
inference(constrained_superposition,[],[f12527,f18385]) ).
thf(f18398,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| ~ spl0_195 ),
inference(constrained_superposition,[],[f17397,f18385]) ).
thf(f18424,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_42
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f18398]) ).
thf(f18431,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_42
| spl0_52 ),
inference(trivial_inequality_removal,[],[f18393]) ).
thf(f18442,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_42
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f18424,f29]) ).
thf(f18443,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| spl0_52 ),
inference(forward_subsumption_resolution,[],[f18431,f29]) ).
thf(f18454,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_84 ),
inference(avatar_component_clause,[],[f3027]) ).
thf(f18456,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_239 ),
inference(avatar_component_clause,[],[f14078]) ).
thf(f18457,plain,
( spl0_215
| spl0_204
| ~ spl0_239
| ~ spl0_42
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f18442,f13281,f1980,f14078,f13371,f13478]) ).
thf(f18458,plain,
( spl0_9
| spl0_53
| ~ spl0_42
| spl0_52 ),
inference(avatar_split_clause,[],[f18443,f2058,f1980,f2062,f170]) ).
thf(f18483,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f26,f1984]) ).
thf(f18499,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f18483]) ).
thf(f18506,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_174 ),
inference(constrained_superposition,[],[f18499,f6687]) ).
thf(f18515,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_43
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f18506]) ).
thf(f18531,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_69
| spl0_84 ),
inference(constrained_superposition,[],[f18454,f2610]) ).
thf(f18532,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_69
| spl0_239 ),
inference(constrained_superposition,[],[f18456,f2610]) ).
thf(f18539,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_69
| ~ spl0_208 ),
inference(constrained_superposition,[],[f17313,f2610]) ).
thf(f18547,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_69
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f18539]) ).
thf(f18553,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_69
| spl0_84 ),
inference(trivial_inequality_removal,[],[f18531]) ).
thf(f18556,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_69
| spl0_239 ),
inference(trivial_inequality_removal,[],[f18532]) ).
thf(f18563,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_50
| ~ spl0_69
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f18547,f2009]) ).
thf(f18564,plain,
( $false
| ~ spl0_69
| ~ spl0_72
| ~ spl0_79
| spl0_84 ),
inference(forward_subsumption_resolution,[],[f18553,f12337]) ).
thf(f18565,plain,
( ~ spl0_69
| ~ spl0_72
| ~ spl0_79
| spl0_84 ),
inference(avatar_contradiction_clause,[],[f18564]) ).
thf(f18566,plain,
( spl0_224
| ~ spl0_69
| spl0_239 ),
inference(avatar_split_clause,[],[f18556,f14078,f2609,f13907]) ).
thf(f18567,plain,
( spl0_204
| ~ spl0_50
| ~ spl0_69
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f18563,f13387,f2609,f2008,f13371]) ).
thf(f18573,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f2607,f141]) ).
thf(f18583,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f18573]) ).
thf(f18587,plain,
( spl0_48
| ~ spl0_11
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f18583,f2606,f177,f2001]) ).
thf(f18588,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_43
| ~ spl0_174
| spl0_223 ),
inference(forward_subsumption_resolution,[],[f18515,f13883]) ).
thf(f18589,plain,
( ~ spl0_48
| ~ spl0_43
| ~ spl0_174
| spl0_223 ),
inference(avatar_split_clause,[],[f18588,f13882,f6686,f1983,f2001]) ).
thf(f18592,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f26,f2002]) ).
thf(f18595,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f18592]) ).
thf(f18599,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_43
| ~ spl0_48 ),
inference(constrained_superposition,[],[f18595,f1984]) ).
thf(f18603,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) )
| ~ spl0_43
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f18599]) ).
thf(f18607,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ~ spl0_43
| ~ spl0_48
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f18603,f5585]) ).
thf(f18608,plain,
( spl0_272
| ~ spl0_43
| ~ spl0_48
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f18607,f5584,f2001,f1983,f18347]) ).
thf(f18870,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_123 ),
inference(constrained_superposition,[],[f12283,f4022]) ).
thf(f18871,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_79
| ~ spl0_123 ),
inference(constrained_superposition,[],[f11691,f4022]) ).
thf(f18872,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_123
| ~ spl0_195 ),
inference(constrained_superposition,[],[f17397,f4022]) ).
thf(f18874,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_123
| ~ spl0_208 ),
inference(constrained_superposition,[],[f17313,f4022]) ).
thf(f18888,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_79
| ~ spl0_123 ),
inference(trivial_inequality_removal,[],[f18871]) ).
thf(f18891,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_123
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f18872]) ).
thf(f18903,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_123 ),
inference(trivial_inequality_removal,[],[f18870]) ).
thf(f18906,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_123
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f18874]) ).
thf(f18907,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_50
| ~ spl0_79
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f18888,f2009]) ).
thf(f18908,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_123
| ~ spl0_195
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f18891,f14079]) ).
thf(f18910,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_72
| ~ spl0_84
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f18903,f3028]) ).
thf(f18911,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_50
| ~ spl0_123
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f18906,f2009]) ).
thf(f18912,plain,
( spl0_137
| ~ spl0_50
| ~ spl0_79
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f18907,f4021,f3010,f2008,f4459]) ).
thf(f18913,plain,
( spl0_232
| ~ spl0_123
| ~ spl0_195
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f18908,f14078,f13281,f4021,f13975]) ).
thf(f18915,plain,
( spl0_137
| ~ spl0_72
| ~ spl0_84
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f18910,f4021,f3027,f2951,f4459]) ).
thf(f18916,plain,
( spl0_232
| ~ spl0_50
| ~ spl0_123
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f18911,f13387,f4021,f2008,f13975]) ).
thf(f18917,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f4025,f27]) ).
thf(f18918,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f4025,f36]) ).
thf(f18920,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f4025,f138]) ).
thf(f18925,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f18917]) ).
thf(f18926,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f18918]) ).
thf(f18931,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f18920]) ).
thf(f19015,plain,
( spl0_40
| ~ spl0_58
| spl0_84
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f17473,f16238,f3027,f2299,f1973]) ).
thf(f19016,plain,
( spl0_40
| spl0_112
| ~ spl0_56
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f17458,f13257,f2173,f3555,f1973]) ).
thf(f19017,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f26,f2002]) ).
thf(f19018,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f19017]) ).
thf(f19057,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_48
| ~ spl0_112 ),
inference(constrained_superposition,[],[f19018,f3556]) ).
thf(f19060,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_48
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f19057]) ).
thf(f19063,plain,
( $false
| ~ spl0_48
| ~ spl0_111
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f19060,f3538]) ).
thf(f19064,plain,
( ~ spl0_48
| ~ spl0_111
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f19063]) ).
thf(f19080,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| ~ spl0_153 ),
inference(constrained_superposition,[],[f5588,f27]) ).
thf(f19082,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f19080]) ).
thf(f19083,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_153
| spl0_174 ),
inference(constrained_superposition,[],[f15587,f19082]) ).
thf(f19087,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_153
| ~ spl0_195 ),
inference(constrained_superposition,[],[f17397,f19082]) ).
thf(f19088,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_153
| ~ spl0_190 ),
inference(constrained_superposition,[],[f17365,f19082]) ).
thf(f19097,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_153
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f19088]) ).
thf(f19102,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_153
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f19087]) ).
thf(f19106,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_153
| spl0_174 ),
inference(trivial_inequality_removal,[],[f19083]) ).
thf(f19110,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_153
| spl0_174 ),
inference(forward_subsumption_resolution,[],[f19106,f29]) ).
thf(f19111,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_93
| ~ spl0_153
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f19097,f3059]) ).
thf(f19112,plain,
( spl0_224
| spl0_131
| ~ spl0_153
| spl0_174 ),
inference(avatar_split_clause,[],[f19110,f6686,f5587,f4365,f13907]) ).
thf(f19113,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_93
| ~ spl0_153
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f19111,f29]) ).
thf(f19114,plain,
( spl0_204
| spl0_213
| ~ spl0_93
| ~ spl0_153
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f19113,f13245,f5587,f3058,f13450,f13371]) ).
thf(f19115,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_153
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f19102,f29]) ).
thf(f19116,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_186
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f17875,f29]) ).
thf(f19117,plain,
( spl0_208
| spl0_107
| ~ spl0_187
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f17812,f13253,f12992,f3435,f13387]) ).
thf(f19118,plain,
( ~ spl0_174
| spl0_204
| spl0_213
| ~ spl0_153
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f19115,f13281,f5587,f13450,f13371,f6686]) ).
thf(f19119,plain,
( spl0_208
| spl0_213
| ~ spl0_186
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f19116,f13253,f12988,f13450,f13387]) ).
thf(f19123,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f26,f6687]) ).
thf(f19125,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f19123]) ).
thf(f19126,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_195
| ~ spl0_204 ),
inference(constrained_superposition,[],[f17397,f13372]) ).
thf(f19130,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_195
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f19126]) ).
thf(f19159,plain,
( $false
| ~ spl0_195
| ~ spl0_204
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f13908,f19130]) ).
thf(f19160,plain,
( ~ spl0_195
| ~ spl0_204
| ~ spl0_224 ),
inference(avatar_contradiction_clause,[],[f19159]) ).
thf(f19173,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f26,f3028]) ).
thf(f19175,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f19173]) ).
thf(f19180,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_84 ),
inference(constrained_superposition,[],[f19175,f2952]) ).
thf(f19186,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f19180]) ).
thf(f19234,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f18925,f27]) ).
thf(f19240,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f19234]) ).
thf(f19297,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f18926,f36]) ).
thf(f19300,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f19297]) ).
thf(f19323,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_50
| ~ spl0_124 ),
inference(constrained_superposition,[],[f18359,f19240]) ).
thf(f19326,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_72
| ~ spl0_84
| ~ spl0_124 ),
inference(constrained_superposition,[],[f19186,f19240]) ).
thf(f19332,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_72
| ~ spl0_84
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f19326]) ).
thf(f19336,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_50
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f19323]) ).
thf(f19339,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_84
| spl0_89
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f19332,f3402]) ).
thf(f19341,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_23
| ~ spl0_50
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f19336,f16863]) ).
thf(f19342,plain,
( spl0_107
| spl0_132
| ~ spl0_72
| ~ spl0_84
| spl0_89
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f19339,f4024,f3044,f3027,f2951,f4369,f3435]) ).
thf(f19390,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_23
| ~ spl0_50
| ~ spl0_105
| ~ spl0_124 ),
inference(constrained_superposition,[],[f19341,f3430]) ).
thf(f19393,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_23
| ~ spl0_50
| ~ spl0_105
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f19390]) ).
thf(f19394,plain,
( spl0_132
| spl0_107
| ~ spl0_23
| ~ spl0_50
| ~ spl0_105
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f19393,f4024,f3429,f2008,f279,f3435,f4369]) ).
thf(f19435,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f18931,f55]) ).
thf(f19438,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( z = X0 ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f19435]) ).
thf(f19460,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f26,f1984]) ).
thf(f19464,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f19460]) ).
thf(f19467,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_74 ),
inference(constrained_superposition,[],[f19464,f2959]) ).
thf(f19475,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_43
| ~ spl0_79 ),
inference(constrained_superposition,[],[f19464,f3011]) ).
thf(f19476,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_204 ),
inference(constrained_superposition,[],[f19464,f13372]) ).
thf(f19487,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_43
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f19475]) ).
thf(f19489,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_43
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f19467]) ).
thf(f19492,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_43
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f19476]) ).
thf(f19495,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_112 ),
inference(avatar_component_clause,[],[f3555]) ).
thf(f19498,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_40
| ~ spl0_43
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f19487,f1974]) ).
thf(f19499,plain,
( ~ spl0_112
| spl0_105
| ~ spl0_43
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f19489,f2958,f1983,f3429,f3555]) ).
thf(f19500,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_230 ),
inference(avatar_component_clause,[],[f13966]) ).
thf(f19502,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_40
| ~ spl0_43
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f19492,f1974]) ).
thf(f19503,plain,
( spl0_105
| ~ spl0_40
| ~ spl0_43
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f19498,f3010,f1983,f1973,f3429]) ).
thf(f19504,plain,
( spl0_208
| ~ spl0_40
| ~ spl0_43
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f19502,f13371,f1983,f1973,f13387]) ).
thf(f19505,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_112
| ~ spl0_124 ),
inference(constrained_superposition,[],[f19495,f19438]) ).
thf(f19507,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_112
| ~ spl0_124 ),
inference(constrained_superposition,[],[f19495,f19300]) ).
thf(f19510,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_112
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f19505]) ).
thf(f19514,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_112
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f19507]) ).
thf(f19515,plain,
( ( z
= ( s @ z ) )
| spl0_77
| spl0_112
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f19510,f4738]) ).
thf(f19519,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_112
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f19514,f29]) ).
thf(f19520,plain,
( $false
| spl0_77
| spl0_112
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f19515,f29]) ).
thf(f19521,plain,
( spl0_77
| spl0_112
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f19520]) ).
thf(f19524,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_77
| spl0_112
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f19519,f4738]) ).
thf(f19526,plain,
( spl0_53
| spl0_77
| spl0_112
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f19524,f4024,f3555,f3003,f2062]) ).
thf(f19530,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f26,f3556]) ).
thf(f19532,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f19530]) ).
thf(f19537,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_124
| spl0_230 ),
inference(constrained_superposition,[],[f19500,f19300]) ).
thf(f19542,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_124
| spl0_230 ),
inference(trivial_inequality_removal,[],[f19537]) ).
thf(f19559,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_124
| spl0_230 ),
inference(forward_subsumption_resolution,[],[f19542,f29]) ).
thf(f19562,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_110
| ~ spl0_124
| spl0_230 ),
inference(forward_subsumption_resolution,[],[f19559,f13207]) ).
thf(f19563,plain,
( spl0_266
| spl0_110
| ~ spl0_124
| spl0_230 ),
inference(avatar_split_clause,[],[f19562,f13966,f4024,f3534,f17277]) ).
thf(f19565,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_266 ),
inference(constrained_superposition,[],[f26,f17278]) ).
thf(f19566,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f19565]) ).
thf(f19572,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_174
| ~ spl0_266 ),
inference(constrained_superposition,[],[f19566,f6687]) ).
thf(f19580,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_174
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f19572]) ).
thf(f19585,plain,
( $false
| ~ spl0_15
| ~ spl0_174
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f19580,f209]) ).
thf(f19586,plain,
( ~ spl0_15
| ~ spl0_174
| ~ spl0_266 ),
inference(avatar_contradiction_clause,[],[f19585]) ).
thf(f19596,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_230 ),
inference(constrained_superposition,[],[f26,f13967]) ).
thf(f19597,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f19596]) ).
thf(f19612,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_112 ),
inference(constrained_superposition,[],[f19532,f2952]) ).
thf(f19614,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_93
| ~ spl0_112 ),
inference(constrained_superposition,[],[f19532,f3059]) ).
thf(f19620,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_93
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f19614]) ).
thf(f19625,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f19612]) ).
thf(f19626,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_112
| ~ spl0_124 ),
inference(constrained_superposition,[],[f19625,f19438]) ).
thf(f19629,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_72
| ~ spl0_112
| ~ spl0_124 ),
inference(constrained_superposition,[],[f19625,f19240]) ).
thf(f19631,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_112
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f19629]) ).
thf(f19634,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_112
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f19626]) ).
thf(f19648,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_72
| ~ spl0_112
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f19634,f29]) ).
thf(f19650,plain,
( spl0_132
| spl0_89
| spl0_107
| ~ spl0_72
| ~ spl0_112
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f19631,f4024,f3555,f2951,f3435,f3044,f4369]) ).
thf(f19652,plain,
( spl0_89
| ~ spl0_72
| ~ spl0_112
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f19648,f4024,f3555,f2951,f3044]) ).
thf(f19666,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_262 ),
inference(constrained_superposition,[],[f16244,f1544]) ).
thf(f19671,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f19666]) ).
thf(f19714,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_174
| ~ spl0_230 ),
inference(constrained_superposition,[],[f19597,f6687]) ).
thf(f19715,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_230 ),
inference(constrained_superposition,[],[f19597,f330]) ).
thf(f19719,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_29
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f19715]) ).
thf(f19723,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_174
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f19714]) ).
thf(f19746,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_103 ),
inference(constrained_superposition,[],[f3419,f141]) ).
thf(f19750,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f19746]) ).
thf(f19776,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_22
| spl0_102 ),
inference(constrained_superposition,[],[f5449,f276]) ).
thf(f19786,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_22
| ~ spl0_174 ),
inference(constrained_superposition,[],[f19125,f276]) ).
thf(f19788,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_22
| ~ spl0_111 ),
inference(constrained_superposition,[],[f16937,f276]) ).
thf(f19797,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_22
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f19788]) ).
thf(f19804,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_22
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f19786]) ).
thf(f19809,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_22
| spl0_102 ),
inference(trivial_inequality_removal,[],[f19776]) ).
thf(f19815,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_7
| ~ spl0_22
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f19797,f164]) ).
thf(f19816,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_7
| ~ spl0_22
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f19804,f164]) ).
thf(f19818,plain,
( $false
| ~ spl0_22
| ~ spl0_72
| ~ spl0_79
| spl0_102 ),
inference(forward_subsumption_resolution,[],[f19809,f12337]) ).
thf(f19819,plain,
( ~ spl0_22
| ~ spl0_72
| ~ spl0_79
| spl0_102 ),
inference(avatar_contradiction_clause,[],[f19818]) ).
thf(f19821,plain,
( $false
| ~ spl0_7
| ~ spl0_22
| ~ spl0_72
| ~ spl0_79
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f19815,f12337]) ).
thf(f19822,plain,
( ~ spl0_7
| ~ spl0_22
| ~ spl0_72
| ~ spl0_79
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f19821]) ).
thf(f19823,plain,
( $false
| ~ spl0_7
| ~ spl0_22
| ~ spl0_174
| ~ spl0_195
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f19816,f19130]) ).
thf(f19824,plain,
( ~ spl0_7
| ~ spl0_22
| ~ spl0_174
| ~ spl0_195
| ~ spl0_204 ),
inference(avatar_contradiction_clause,[],[f19823]) ).
thf(f19825,plain,
( ~ spl0_48
| ~ spl0_93
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f19620,f3555,f3058,f2001]) ).
thf(f19827,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_207 ),
inference(avatar_component_clause,[],[f13382]) ).
thf(f19834,plain,
( spl0_224
| ~ spl0_48
| ~ spl0_29
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f19719,f13966,f329,f2001,f13907]) ).
thf(f19835,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_84
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f19671,f18454]) ).
thf(f19837,plain,
( ~ spl0_48
| ~ spl0_174
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f19723,f13966,f6686,f2001]) ).
thf(f19842,plain,
( spl0_50
| spl0_84
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f19835,f16243,f3027,f2008]) ).
thf(f19846,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
= $true )
| ( z = X0 )
| ( X0 = X1 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 ) )
| spl0_1 ),
inference(constrained_superposition,[],[f592,f1582]) ).
thf(f19847,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( X0 = X1 )
| ( z = X1 )
| ( ( r @ X1 @ X0 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X1 @ z )
= $true )
| ( z = X0 ) )
| spl0_1 ),
inference(trivial_inequality_removal,[],[f19846]) ).
thf(f19848,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( X0 = X1 )
| ( ( s @ z )
= X0 )
| ( z = X1 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ X1 @ X0 )
= $true ) )
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f19847,f29]) ).
thf(f19853,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f26,f171]) ).
thf(f19855,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f19853]) ).
thf(f19867,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f26,f1974]) ).
thf(f19868,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f19867]) ).
thf(f19869,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f26,f1966]) ).
thf(f19870,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f19869]) ).
thf(f19873,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_56 ),
inference(constrained_superposition,[],[f2174,f27]) ).
thf(f19875,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_56 ),
inference(trivial_inequality_removal,[],[f19873]) ).
thf(f19877,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_54
| spl0_56 ),
inference(forward_subsumption_resolution,[],[f19875,f2920]) ).
thf(f19879,plain,
( spl0_57
| spl0_54
| spl0_56 ),
inference(avatar_split_clause,[],[f19877,f2173,f2153,f2186]) ).
thf(f19888,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f26,f3004]) ).
thf(f19889,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f19888]) ).
thf(f19892,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_223 ),
inference(constrained_superposition,[],[f26,f13972]) ).
thf(f19893,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f19892]) ).
thf(f19949,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_239 ),
inference(constrained_superposition,[],[f26,f14079]) ).
thf(f19951,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f19949]) ).
thf(f19953,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_77
| ~ spl0_190 ),
inference(constrained_superposition,[],[f19889,f13246]) ).
thf(f19959,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_77
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f19953]) ).
thf(f19965,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_174
| ~ spl0_223 ),
inference(constrained_superposition,[],[f19893,f6687]) ).
thf(f19967,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_174
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f19965]) ).
thf(f19971,plain,
( $false
| ~ spl0_31
| ~ spl0_174
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f19967,f351]) ).
thf(f19972,plain,
( ~ spl0_31
| ~ spl0_174
| ~ spl0_223 ),
inference(avatar_contradiction_clause,[],[f19971]) ).
thf(f19977,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_77
| ~ spl0_180
| ~ spl0_190 ),
inference(constrained_superposition,[],[f19959,f10255]) ).
thf(f19981,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_77
| ~ spl0_180
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f19977]) ).
thf(f19982,plain,
( spl0_208
| ~ spl0_77
| ~ spl0_180
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f19981,f13245,f10254,f3003,f13387]) ).
thf(f20080,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_190
| ~ spl0_195 ),
inference(constrained_superposition,[],[f17365,f13282]) ).
thf(f20082,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_190
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f20080]) ).
thf(f20084,plain,
( $false
| ~ spl0_190
| ~ spl0_195
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f20082,f14239]) ).
thf(f20085,plain,
( ~ spl0_190
| ~ spl0_195
| ~ spl0_241 ),
inference(avatar_contradiction_clause,[],[f20084]) ).
thf(f20106,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f13363,f1544]) ).
thf(f20108,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f13363,f56]) ).
thf(f20109,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f13363,f35]) ).
thf(f20111,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f20108]) ).
thf(f20112,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f20106]) ).
thf(f20114,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f20109]) ).
thf(f20118,plain,
( spl0_232
| ~ spl0_163
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f20111,f13362,f6092,f13975]) ).
thf(f20119,plain,
( ~ spl0_142
| spl0_226
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f20112,f13362,f13950,f4527]) ).
thf(f20120,plain,
( spl0_204
| ~ spl0_147
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f20114,f13362,f5301,f13371]) ).
thf(f20147,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f10258,f27]) ).
thf(f20149,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f20147]) ).
thf(f20156,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_181
| ~ spl0_239 ),
inference(constrained_superposition,[],[f19951,f20149]) ).
thf(f20164,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_181
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f20156]) ).
thf(f20176,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_38
| ~ spl0_181
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f20164,f1966]) ).
thf(f20180,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_38
| ~ spl0_181
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f20176,f29]) ).
thf(f20181,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_238 ),
inference(avatar_component_clause,[],[f14024]) ).
thf(f20185,plain,
( spl0_224
| spl0_126
| ~ spl0_38
| ~ spl0_181
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f20180,f14078,f10257,f1965,f4081,f13907]) ).
thf(f20194,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f26,f13372]) ).
thf(f20195,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f20194]) ).
thf(f20222,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f13392,f1544]) ).
thf(f20227,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f20222]) ).
thf(f20235,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_204
| ~ spl0_217 ),
inference(constrained_superposition,[],[f20195,f13500]) ).
thf(f20243,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_204
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f20235]) ).
thf(f20244,plain,
( $false
| ~ spl0_31
| ~ spl0_204
| ~ spl0_217 ),
inference(forward_subsumption_resolution,[],[f20243,f351]) ).
thf(f20245,plain,
( ~ spl0_31
| ~ spl0_204
| ~ spl0_217 ),
inference(avatar_contradiction_clause,[],[f20244]) ).
thf(f20247,plain,
( spl0_226
| ~ spl0_44
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f20227,f13391,f1986,f13950]) ).
thf(f20256,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_238
| ~ spl0_239 ),
inference(constrained_superposition,[],[f19951,f14025]) ).
thf(f20258,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_238 ),
inference(constrained_superposition,[],[f26,f14025]) ).
thf(f20259,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f20258]) ).
thf(f20260,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_238
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f20256]) ).
thf(f20262,plain,
( $false
| ~ spl0_38
| ~ spl0_238
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f20260,f1966]) ).
thf(f20263,plain,
( ~ spl0_38
| ~ spl0_238
| ~ spl0_239 ),
inference(avatar_contradiction_clause,[],[f20262]) ).
thf(f20267,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_9
| ~ spl0_207 ),
inference(constrained_superposition,[],[f19855,f13383]) ).
thf(f20272,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_9
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f20267]) ).
thf(f20273,plain,
( $false
| ~ spl0_9
| ~ spl0_207
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f20272,f13388]) ).
thf(f20274,plain,
( ~ spl0_9
| ~ spl0_207
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f20273]) ).
thf(f20285,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_218 ),
inference(constrained_superposition,[],[f13845,f1543]) ).
thf(f20292,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_218 ),
inference(trivial_inequality_removal,[],[f20285]) ).
thf(f20297,plain,
( spl0_201
| spl0_218 ),
inference(avatar_split_clause,[],[f20292,f13844,f13359]) ).
thf(f20300,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_77
| ~ spl0_190 ),
inference(constrained_superposition,[],[f19889,f13246]) ).
thf(f20302,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_77
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f20300]) ).
thf(f20316,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_225 ),
inference(constrained_superposition,[],[f13948,f141]) ).
thf(f20321,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f20316]) ).
thf(f20327,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_174
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f20321,f15587]) ).
thf(f20329,plain,
( ~ spl0_62
| spl0_174
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f20327,f13947,f6686,f2313]) ).
thf(f20334,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f1952,f13289]) ).
thf(f20335,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f157,f13289]) ).
thf(f20341,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f312,f13289]) ).
thf(f20357,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f20341]) ).
thf(f20359,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f20335]) ).
thf(f20361,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f20334]) ).
thf(f20368,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| spl0_174
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f20357,f15587]) ).
thf(f20369,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_197
| spl0_207 ),
inference(forward_subsumption_resolution,[],[f20359,f19827]) ).
thf(f20370,plain,
( spl0_229
| ~ spl0_255
| spl0_201
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f20361,f13288,f13359,f15112,f13962]) ).
thf(f20373,plain,
( ~ spl0_211
| spl0_212
| spl0_174
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f20368,f13288,f6686,f13402,f13399]) ).
thf(f20374,plain,
( ~ spl0_173
| spl0_229
| ~ spl0_197
| spl0_207 ),
inference(avatar_split_clause,[],[f20369,f13382,f13288,f13962,f6683]) ).
thf(f20385,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_212 ),
inference(constrained_superposition,[],[f13403,f1544]) ).
thf(f20392,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f20385]) ).
thf(f20397,plain,
( ~ spl0_45
| spl0_226
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f20392,f13402,f13950,f1990]) ).
thf(f20488,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f26,f276]) ).
thf(f20497,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f20488]) ).
thf(f20528,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_77
| ~ spl0_118 ),
inference(constrained_superposition,[],[f3899,f3004]) ).
thf(f20531,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_77
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f20528]) ).
thf(f20536,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_77
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f20531,f29]) ).
thf(f20538,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_77
| spl0_106
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f20536,f14576]) ).
thf(f20540,plain,
( spl0_113
| ~ spl0_77
| spl0_106
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f20538,f3898,f3432,f3003,f3559]) ).
thf(f20552,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_43
| spl0_112 ),
inference(constrained_superposition,[],[f19495,f1984]) ).
thf(f20553,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_43
| spl0_230 ),
inference(constrained_superposition,[],[f19500,f1984]) ).
thf(f20554,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) )
| ~ spl0_38
| ~ spl0_43 ),
inference(constrained_superposition,[],[f19870,f1984]) ).
thf(f20559,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_43
| spl0_112 ),
inference(trivial_inequality_removal,[],[f20552]) ).
thf(f20563,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f20554]) ).
thf(f20564,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_43
| spl0_230 ),
inference(trivial_inequality_removal,[],[f20553]) ).
thf(f20565,plain,
( $false
| ~ spl0_43
| spl0_106
| spl0_112 ),
inference(forward_subsumption_resolution,[],[f20559,f14576]) ).
thf(f20566,plain,
( ~ spl0_43
| spl0_106
| spl0_112 ),
inference(avatar_contradiction_clause,[],[f20565]) ).
thf(f20567,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ~ spl0_38
| ~ spl0_43
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f20563,f10255]) ).
thf(f20568,plain,
( $false
| ~ spl0_43
| spl0_223
| spl0_230 ),
inference(forward_subsumption_resolution,[],[f20564,f13883]) ).
thf(f20569,plain,
( ~ spl0_43
| spl0_223
| spl0_230 ),
inference(avatar_contradiction_clause,[],[f20568]) ).
thf(f20570,plain,
( spl0_272
| ~ spl0_38
| ~ spl0_43
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f20567,f10254,f1983,f1965,f18347]) ).
thf(f20573,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f4025,f27]) ).
thf(f20585,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f20573]) ).
thf(f20596,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f10258,f35]) ).
thf(f20598,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f20596]) ).
thf(f20670,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f20585,f27]) ).
thf(f20674,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f20670]) ).
thf(f20700,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_40
| ~ spl0_124 ),
inference(constrained_superposition,[],[f19868,f20674]) ).
thf(f20713,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_40
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f20700]) ).
thf(f20722,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_40
| ~ spl0_105
| ~ spl0_124 ),
inference(constrained_superposition,[],[f20713,f3430]) ).
thf(f20726,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_40
| ~ spl0_105
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f20722]) ).
thf(f20730,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_40
| spl0_89
| ~ spl0_105
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f20726,f3402]) ).
thf(f20732,plain,
( spl0_132
| spl0_107
| ~ spl0_40
| spl0_89
| ~ spl0_105
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f20730,f4024,f3429,f3044,f1973,f3435,f4369]) ).
thf(f20779,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_182 ),
inference(constrained_superposition,[],[f10264,f35]) ).
thf(f20781,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f20779]) ).
thf(f20810,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_67
| spl0_84 ),
inference(constrained_superposition,[],[f18454,f2577]) ).
thf(f20811,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_67
| spl0_239 ),
inference(constrained_superposition,[],[f18456,f2577]) ).
thf(f20815,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_67
| ~ spl0_79 ),
inference(constrained_superposition,[],[f11691,f2577]) ).
thf(f20818,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_67
| ~ spl0_204 ),
inference(constrained_superposition,[],[f20195,f2577]) ).
thf(f20819,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_67
| ~ spl0_238 ),
inference(constrained_superposition,[],[f20259,f2577]) ).
thf(f20820,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_67
| ~ spl0_77 ),
inference(constrained_superposition,[],[f19889,f2577]) ).
thf(f20823,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_67
| spl0_84 ),
inference(trivial_inequality_removal,[],[f20810]) ).
thf(f20828,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_67
| spl0_239 ),
inference(trivial_inequality_removal,[],[f20811]) ).
thf(f20829,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_67
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f20818]) ).
thf(f20830,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_67
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f20815]) ).
thf(f20832,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_67
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f20820]) ).
thf(f20835,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_67
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f20819]) ).
thf(f20836,plain,
( $false
| ~ spl0_67
| spl0_84
| spl0_93 ),
inference(forward_subsumption_resolution,[],[f20823,f11512]) ).
thf(f20837,plain,
( ~ spl0_67
| spl0_84
| spl0_93 ),
inference(avatar_contradiction_clause,[],[f20836]) ).
thf(f20840,plain,
( $false
| ~ spl0_67
| spl0_174
| spl0_239 ),
inference(forward_subsumption_resolution,[],[f20828,f15587]) ).
thf(f20841,plain,
( ~ spl0_67
| spl0_174
| spl0_239 ),
inference(avatar_contradiction_clause,[],[f20840]) ).
thf(f20842,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_50
| ~ spl0_67
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f20829,f2009]) ).
thf(f20843,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_50
| ~ spl0_67
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f20830,f2009]) ).
thf(f20844,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_57
| ~ spl0_67
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f20832,f2187]) ).
thf(f20846,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_57
| ~ spl0_67
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f20835,f2187]) ).
thf(f20848,plain,
( spl0_217
| ~ spl0_50
| ~ spl0_67
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f20842,f13371,f2576,f2008,f13499]) ).
thf(f20849,plain,
( spl0_127
| ~ spl0_50
| ~ spl0_67
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f20843,f3010,f2576,f2008,f4084]) ).
thf(f20850,plain,
( $false
| ~ spl0_57
| ~ spl0_67
| ~ spl0_77
| spl0_93 ),
inference(forward_subsumption_resolution,[],[f20844,f11512]) ).
thf(f20851,plain,
( ~ spl0_57
| ~ spl0_67
| ~ spl0_77
| spl0_93 ),
inference(avatar_contradiction_clause,[],[f20850]) ).
thf(f20852,plain,
( $false
| ~ spl0_57
| ~ spl0_67
| spl0_174
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f20846,f15587]) ).
thf(f20853,plain,
( ~ spl0_57
| ~ spl0_67
| spl0_174
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f20852]) ).
thf(f20854,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f2574,f27]) ).
thf(f20855,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f2574,f36]) ).
thf(f20862,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f20855]) ).
thf(f20863,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f20854]) ).
thf(f20879,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f20863,f27]) ).
thf(f20886,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f20879]) ).
thf(f20894,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f20862,f56]) ).
thf(f20896,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f20894]) ).
thf(f20913,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_66
| spl0_112 ),
inference(constrained_superposition,[],[f19495,f20886]) ).
thf(f20914,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_66
| spl0_230 ),
inference(constrained_superposition,[],[f19500,f20886]) ).
thf(f20926,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_66
| spl0_112 ),
inference(trivial_inequality_removal,[],[f20913]) ).
thf(f20927,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_66
| spl0_230 ),
inference(trivial_inequality_removal,[],[f20914]) ).
thf(f20931,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_66
| spl0_110
| spl0_112 ),
inference(forward_subsumption_resolution,[],[f20926,f13207]) ).
thf(f20932,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_66
| spl0_172
| spl0_230 ),
inference(forward_subsumption_resolution,[],[f20927,f16224]) ).
thf(f20933,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_66
| spl0_110
| spl0_111
| spl0_112 ),
inference(forward_subsumption_resolution,[],[f20931,f14585]) ).
thf(f20934,plain,
( spl0_131
| spl0_240
| ~ spl0_66
| spl0_172
| spl0_230 ),
inference(avatar_split_clause,[],[f20932,f13966,f6679,f2573,f14081,f4365]) ).
thf(f20935,plain,
( spl0_113
| ~ spl0_66
| spl0_110
| spl0_111
| spl0_112 ),
inference(avatar_split_clause,[],[f20933,f3555,f3537,f3534,f2573,f3559]) ).
thf(f20936,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_57
| ~ spl0_182 ),
inference(constrained_superposition,[],[f5059,f20781]) ).
thf(f20937,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z = X0 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true ) )
| spl0_1
| spl0_57 ),
inference(constrained_superposition,[],[f5059,f19848]) ).
thf(f20940,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_1
| spl0_57 ),
inference(trivial_inequality_removal,[],[f20937]) ).
thf(f20941,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_57
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f20936]) ).
thf(f20943,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_22
| spl0_38 ),
inference(constrained_superposition,[],[f5115,f276]) ).
thf(f20944,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_38
| ~ spl0_181 ),
inference(constrained_superposition,[],[f5115,f20598]) ).
thf(f20951,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_22
| spl0_38 ),
inference(trivial_inequality_removal,[],[f20943]) ).
thf(f20952,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_38
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f20944]) ).
thf(f20957,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_22
| ~ spl0_112 ),
inference(constrained_superposition,[],[f20497,f3556]) ).
thf(f20958,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f26,f3556]) ).
thf(f20960,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_22
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f20957]) ).
thf(f20963,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f20958]) ).
thf(f20964,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_137 ),
inference(constrained_superposition,[],[f12283,f4460]) ).
thf(f20968,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f20964]) ).
thf(f20972,plain,
( $false
| ~ spl0_72
| ~ spl0_102
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f20968,f3407]) ).
thf(f20973,plain,
( ~ spl0_72
| ~ spl0_102
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f20972]) ).
thf(f20981,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_38
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f20896,f5115]) ).
thf(f20982,plain,
( spl0_50
| spl0_40
| spl0_57
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f20941,f10263,f2186,f1973,f2008]) ).
thf(f20984,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
= $true ) )
| spl0_1
| spl0_54
| spl0_57 ),
inference(forward_subsumption_resolution,[],[f20940,f2920]) ).
thf(f20989,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_22
| ~ spl0_77
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f20960,f3004]) ).
thf(f20990,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_38
| spl0_54
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f20952,f2920]) ).
thf(f20993,plain,
( spl0_40
| ~ spl0_22
| spl0_38 ),
inference(avatar_split_clause,[],[f20951,f1965,f275,f1973]) ).
thf(f20997,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_38
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f20981,f29]) ).
thf(f20999,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| spl0_1
| spl0_54
| spl0_57 ),
inference(forward_subsumption_resolution,[],[f20984,f29]) ).
thf(f21004,plain,
( spl0_40
| ~ spl0_22
| ~ spl0_77
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f20989,f3555,f3003,f275,f1973]) ).
thf(f21005,plain,
( spl0_40
| spl0_38
| spl0_54
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f20990,f10257,f2153,f1965,f1973]) ).
thf(f21011,plain,
( spl0_7
| spl0_38
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f20997,f2573,f1965,f163]) ).
thf(f21013,definition,
( spl0_278
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
thf(f21014,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f21013]) ).
thf(f21015,plain,
( spl0_40
| spl0_278
| spl0_1
| spl0_54
| spl0_57 ),
inference(avatar_split_clause,[],[f20999,f2186,f2153,f72,f21013,f1973]) ).
thf(f21080,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f316,f27]) ).
thf(f21091,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f21080]) ).
thf(f21092,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f2607,f27]) ).
thf(f21093,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f2607,f36]) ).
thf(f21094,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f2607,f57]) ).
thf(f21100,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f21093]) ).
thf(f21106,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f21094]) ).
thf(f21107,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f21092]) ).
thf(f21108,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f21091,f27]) ).
thf(f21114,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f21108]) ).
thf(f21142,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_112 ),
inference(constrained_superposition,[],[f20963,f2952]) ).
thf(f21148,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f21142]) ).
thf(f21180,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f21107,f27]) ).
thf(f21183,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f21180]) ).
thf(f21184,plain,
( spl0_278
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f21183,f2606,f21013]) ).
thf(f21187,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_25
| spl0_96 ),
inference(constrained_superposition,[],[f3408,f21114]) ).
thf(f21188,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_25
| spl0_207 ),
inference(constrained_superposition,[],[f19827,f21114]) ).
thf(f21192,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_25
| spl0_96 ),
inference(trivial_inequality_removal,[],[f21187]) ).
thf(f21195,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_25
| spl0_207 ),
inference(trivial_inequality_removal,[],[f21188]) ).
thf(f21197,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_25
| spl0_89
| spl0_96 ),
inference(forward_subsumption_resolution,[],[f21192,f3402]) ).
thf(f21199,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_25
| ~ spl0_77
| ~ spl0_190
| spl0_207 ),
inference(forward_subsumption_resolution,[],[f21195,f20302]) ).
thf(f21200,plain,
( spl0_107
| spl0_128
| ~ spl0_25
| spl0_89
| spl0_96 ),
inference(avatar_split_clause,[],[f21197,f3068,f3044,f315,f4088,f3435]) ).
thf(f21201,plain,
( spl0_213
| spl0_214
| ~ spl0_25
| ~ spl0_77
| ~ spl0_190
| spl0_207 ),
inference(avatar_split_clause,[],[f21199,f13382,f13245,f3003,f315,f13454,f13450]) ).
thf(f21216,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f21100,f34]) ).
thf(f21218,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f21216]) ).
thf(f21221,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_68
| ~ spl0_72
| ~ spl0_112 ),
inference(constrained_superposition,[],[f21148,f21218]) ).
thf(f21228,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_68
| ~ spl0_72
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f21221]) ).
thf(f21234,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f21106,f34]) ).
thf(f21236,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f21234]) ).
thf(f21239,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_68
| ~ spl0_72
| ~ spl0_112 ),
inference(constrained_superposition,[],[f21148,f21236]) ).
thf(f21246,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_68
| ~ spl0_72
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f21239]) ).
thf(f21253,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_79 ),
inference(constrained_superposition,[],[f11691,f319]) ).
thf(f21256,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_204 ),
inference(constrained_superposition,[],[f20195,f319]) ).
thf(f21268,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f21253]) ).
thf(f21273,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f21256]) ).
thf(f21276,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_31
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f21268,f351]) ).
thf(f21277,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_31
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f21273,f351]) ).
thf(f21278,plain,
( spl0_137
| ~ spl0_26
| ~ spl0_31
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f21276,f3010,f350,f318,f4459]) ).
thf(f21279,plain,
( spl0_232
| ~ spl0_26
| ~ spl0_31
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f21277,f13371,f350,f318,f13975]) ).
thf(f21280,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_68
| ~ spl0_72
| spl0_104
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f21246,f13219]) ).
thf(f21283,plain,
( spl0_105
| spl0_131
| ~ spl0_68
| ~ spl0_72
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f21228,f3555,f2951,f2606,f4365,f3429]) ).
thf(f21287,plain,
( spl0_105
| ~ spl0_68
| ~ spl0_72
| spl0_104
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f21280,f3555,f3426,f2951,f2606,f3429]) ).
thf(f21289,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_111
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f17459,f14585]) ).
thf(f21290,plain,
( spl0_9
| spl0_48
| ~ spl0_17
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f19750,f3418,f243,f2001,f170]) ).
thf(f21291,plain,
( spl0_9
| ~ spl0_14
| spl0_111
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f21289,f13257,f3537,f187,f170]) ).
thf(f21292,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f26,f1974]) ).
thf(f21293,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f21292]) ).
thf(f21322,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_93 ),
inference(constrained_superposition,[],[f26,f3059]) ).
thf(f21323,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f21322]) ).
thf(f21347,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f26,f6680]) ).
thf(f21349,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f21347]) ).
thf(f21353,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f26,f6687]) ).
thf(f21354,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f21353]) ).
thf(f21360,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_112
| ~ spl0_278 ),
inference(constrained_superposition,[],[f19495,f21014]) ).
thf(f21362,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_112
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f21360]) ).
thf(f21364,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_112
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f21362,f29]) ).
thf(f21366,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_106
| spl0_112
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f21364,f14576]) ).
thf(f21367,plain,
( spl0_113
| spl0_106
| spl0_112
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f21366,f21013,f3555,f3432,f3559]) ).
thf(f21417,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_77
| ~ spl0_241 ),
inference(constrained_superposition,[],[f19889,f14239]) ).
thf(f21420,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_77
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f21417]) ).
thf(f21421,plain,
( $false
| ~ spl0_77
| ~ spl0_241
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f21420,f17278]) ).
thf(f21422,plain,
( ~ spl0_77
| ~ spl0_241
| ~ spl0_266 ),
inference(avatar_contradiction_clause,[],[f21421]) ).
thf(f21423,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_93 ),
inference(constrained_superposition,[],[f21323,f2952]) ).
thf(f21426,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f21423]) ).
thf(f21434,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_262 ),
inference(constrained_superposition,[],[f16244,f56]) ).
thf(f21442,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f21434]) ).
thf(f21449,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_172
| ~ spl0_239 ),
inference(constrained_superposition,[],[f21349,f14079]) ).
thf(f21456,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_172
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f21449]) ).
thf(f21457,plain,
( $false
| ~ spl0_52
| ~ spl0_172
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f21456,f2059]) ).
thf(f21458,plain,
( ~ spl0_52
| ~ spl0_172
| ~ spl0_239 ),
inference(avatar_contradiction_clause,[],[f21457]) ).
thf(f21462,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_174
| ~ spl0_239 ),
inference(constrained_superposition,[],[f21354,f14079]) ).
thf(f21464,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_174
| ~ spl0_238 ),
inference(constrained_superposition,[],[f21354,f14025]) ).
thf(f21466,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_174
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f21464]) ).
thf(f21469,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_174
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f21462]) ).
thf(f21473,plain,
( ~ spl0_52
| ~ spl0_174
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f21469,f14078,f6686,f2058]) ).
thf(f21478,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_127 ),
inference(constrained_superposition,[],[f12283,f4085]) ).
thf(f21482,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f21478]) ).
thf(f21484,plain,
( $false
| ~ spl0_72
| ~ spl0_93
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f21482,f3059]) ).
thf(f21485,plain,
( ~ spl0_72
| ~ spl0_93
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f21484]) ).
thf(f21486,plain,
( spl0_102
| spl0_23
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f21442,f16243,f279,f3406]) ).
thf(f21519,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_93
| ~ spl0_102 ),
inference(constrained_superposition,[],[f21323,f3407]) ).
thf(f21523,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_93
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f21519]) ).
thf(f21599,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_40
| ~ spl0_201 ),
inference(constrained_superposition,[],[f21293,f13360]) ).
thf(f21603,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_40
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f21599]) ).
thf(f21604,plain,
( $false
| ~ spl0_40
| ~ spl0_201
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f21603,f13388]) ).
thf(f21605,plain,
( ~ spl0_40
| ~ spl0_201
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f21604]) ).
thf(f21606,plain,
( ~ spl0_7
| ~ spl0_174
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f21466,f14024,f6686,f163]) ).
thf(f21607,plain,
( ~ spl0_7
| ~ spl0_93
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f21523,f3406,f3058,f163]) ).
thf(f21608,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f26,f73]) ).
thf(f21609,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f21608]) ).
thf(f21632,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f273,f55]) ).
thf(f21637,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f21632]) ).
thf(f21638,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_77 ),
inference(constrained_superposition,[],[f21609,f3004]) ).
thf(f21641,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f21638]) ).
thf(f21697,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f26,f3028]) ).
thf(f21698,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f21697]) ).
thf(f21713,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f26,f4460]) ).
thf(f21715,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f21713]) ).
thf(f21776,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f2574,f35]) ).
thf(f21784,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f21776]) ).
thf(f21785,plain,
( spl0_40
| ~ spl0_20
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f21784,f2573,f253,f1973]) ).
thf(f21794,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f21637,f34]) ).
thf(f21797,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f21794]) ).
thf(f21799,plain,
( spl0_180
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f21797,f272,f10254]) ).
thf(f21817,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_241 ),
inference(constrained_superposition,[],[f21698,f14239]) ).
thf(f21822,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_84
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f21817]) ).
thf(f21826,plain,
( $false
| ~ spl0_84
| ~ spl0_230
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f21822,f13967]) ).
thf(f21827,plain,
( ~ spl0_84
| ~ spl0_230
| ~ spl0_241 ),
inference(avatar_contradiction_clause,[],[f21826]) ).
thf(f21839,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_74
| ~ spl0_137 ),
inference(constrained_superposition,[],[f21715,f2959]) ).
thf(f21841,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_79
| ~ spl0_137 ),
inference(constrained_superposition,[],[f21715,f3011]) ).
thf(f21844,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_74
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f21839]) ).
thf(f21846,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_79
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f21841]) ).
thf(f21847,plain,
( $false
| ~ spl0_74
| ~ spl0_77
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f21844,f3004]) ).
thf(f21848,plain,
( ~ spl0_74
| ~ spl0_77
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f21847]) ).
thf(f21849,plain,
( $false
| ~ spl0_1
| ~ spl0_79
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f21846,f73]) ).
thf(f21850,plain,
( ~ spl0_1
| ~ spl0_79
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f21849]) ).
thf(f21851,plain,
( ~ spl0_106
| ~ spl0_1
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f21641,f3003,f72,f3432]) ).
thf(f21853,plain,
( ~ spl0_96
| ~ spl0_72
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f21426,f3058,f2951,f3068]) ).
thf(f21863,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f26,f1966]) ).
thf(f21864,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f21863]) ).
thf(f21880,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_272 ),
inference(constrained_superposition,[],[f26,f18348]) ).
thf(f21881,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f21880]) ).
thf(f21893,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f26,f2002]) ).
thf(f21894,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f21893]) ).
thf(f21895,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f26,f2059]) ).
thf(f21896,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f21895]) ).
thf(f21955,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f26,f13372]) ).
thf(f21956,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f21955]) ).
thf(f21963,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_38
| ~ spl0_201 ),
inference(constrained_superposition,[],[f21864,f13360]) ).
thf(f21969,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_38
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f21963]) ).
thf(f21971,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_272 ),
inference(constrained_superposition,[],[f21881,f2952]) ).
thf(f21985,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_72
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f21971]) ).
thf(f21987,plain,
( $false
| ~ spl0_72
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f21985,f18348]) ).
thf(f21988,plain,
( ~ spl0_72
| ~ spl0_272 ),
inference(avatar_contradiction_clause,[],[f21987]) ).
thf(f22019,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_48
| ~ spl0_201 ),
inference(constrained_superposition,[],[f21894,f13360]) ).
thf(f22024,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_48
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f22019]) ).
thf(f22057,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_130 ),
inference(constrained_superposition,[],[f12283,f4360]) ).
thf(f22062,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_72
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f22057]) ).
thf(f22101,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f1952,f2956]) ).
thf(f22132,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f22101]) ).
thf(f22137,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_73
| spl0_112 ),
inference(forward_subsumption_resolution,[],[f22132,f19495]) ).
thf(f22141,plain,
( ~ spl0_144
| spl0_85
| ~ spl0_73
| spl0_112 ),
inference(avatar_split_clause,[],[f22137,f3555,f2955,f3031,f4534]) ).
thf(f22161,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_192
| ~ spl0_204 ),
inference(constrained_superposition,[],[f21956,f13254]) ).
thf(f22164,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_192
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f22161]) ).
thf(f22165,plain,
( $false
| ~ spl0_106
| ~ spl0_192
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f22164,f3433]) ).
thf(f22166,plain,
( ~ spl0_106
| ~ spl0_192
| ~ spl0_204 ),
inference(avatar_contradiction_clause,[],[f22165]) ).
thf(f22168,plain,
( $false
| ~ spl0_38
| ~ spl0_201
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f17013,f21969]) ).
thf(f22169,plain,
( ~ spl0_38
| ~ spl0_201
| ~ spl0_265 ),
inference(avatar_contradiction_clause,[],[f22168]) ).
thf(f22170,plain,
( ~ spl0_207
| ~ spl0_48
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f22024,f13359,f2001,f13382]) ).
thf(f22205,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_230 ),
inference(constrained_superposition,[],[f26,f13967]) ).
thf(f22208,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f22205]) ).
thf(f22351,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_230
| ~ spl0_238 ),
inference(constrained_superposition,[],[f22208,f14025]) ).
thf(f22356,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_230
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f22351]) ).
thf(f22357,plain,
( $false
| ~ spl0_38
| ~ spl0_230
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f22356,f1966]) ).
thf(f22358,plain,
( ~ spl0_38
| ~ spl0_230
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f22357]) ).
thf(f22359,plain,
( ~ spl0_84
| ~ spl0_72
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f22062,f4359,f2951,f3027]) ).
thf(f22360,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f26,f73]) ).
thf(f22361,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f22360]) ).
thf(f22421,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f26,f3069]) ).
thf(f22422,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f22421]) ).
thf(f22479,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_79
| ~ spl0_96 ),
inference(constrained_superposition,[],[f22422,f3011]) ).
thf(f22482,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_79
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f22479]) ).
thf(f22484,plain,
( $false
| ~ spl0_9
| ~ spl0_79
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f22482,f171]) ).
thf(f22485,plain,
( ~ spl0_9
| ~ spl0_79
| ~ spl0_96 ),
inference(avatar_contradiction_clause,[],[f22484]) ).
thf(f22501,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f26,f6680]) ).
thf(f22502,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f22501]) ).
thf(f22538,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_52
| ~ spl0_230 ),
inference(constrained_superposition,[],[f21896,f13967]) ).
thf(f22541,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_52
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f22538]) ).
thf(f22544,plain,
( $false
| ~ spl0_52
| ~ spl0_172
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f22541,f6680]) ).
thf(f22545,plain,
( ~ spl0_52
| ~ spl0_172
| ~ spl0_230 ),
inference(avatar_contradiction_clause,[],[f22544]) ).
thf(f22553,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f26,f3556]) ).
thf(f22555,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f22553]) ).
thf(f22632,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_121 ),
inference(constrained_superposition,[],[f1543,f3925]) ).
thf(f22930,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) )
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f22632,f28]) ).
thf(f22940,definition,
( spl0_280
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_280])],[avatar_definition]) ).
thf(f22941,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_280 ),
inference(avatar_component_clause,[],[f22940]) ).
thf(f22944,definition,
( spl0_281
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_281])],[avatar_definition]) ).
thf(f22945,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_281 ),
inference(avatar_component_clause,[],[f22944]) ).
thf(f23003,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f22930,f31]) ).
thf(f23078,plain,
( spl0_272
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f23003,f3924,f18347]) ).
thf(f23096,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_172
| ~ spl0_224 ),
inference(constrained_superposition,[],[f22502,f13908]) ).
thf(f23099,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_172
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f23096]) ).
thf(f23101,plain,
( $false
| ~ spl0_9
| ~ spl0_172
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f23099,f171]) ).
thf(f23102,plain,
( ~ spl0_9
| ~ spl0_172
| ~ spl0_224 ),
inference(avatar_contradiction_clause,[],[f23101]) ).
thf(f23122,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_239 ),
inference(constrained_superposition,[],[f26,f14079]) ).
thf(f23123,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f23122]) ).
thf(f23194,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f26,f3001]) ).
thf(f23196,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f23194]) ).
thf(f23197,plain,
( spl0_281
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f23196,f3000,f22944]) ).
thf(f23253,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f6474,f56]) ).
thf(f23260,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f23253]) ).
thf(f23263,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_102
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f23260,f5449]) ).
thf(f23264,plain,
( ~ spl0_4
| spl0_102
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f23263,f6473,f3406,f82]) ).
thf(f23274,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f316,f27]) ).
thf(f23284,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f23274]) ).
thf(f23286,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_89 ),
inference(constrained_superposition,[],[f22361,f3045]) ).
thf(f23288,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f23286]) ).
thf(f23290,plain,
( $false
| ~ spl0_1
| ~ spl0_89
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f23288,f3430]) ).
thf(f23291,plain,
( ~ spl0_1
| ~ spl0_89
| ~ spl0_105 ),
inference(avatar_contradiction_clause,[],[f23290]) ).
thf(f23360,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f26,f13976]) ).
thf(f23361,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f23360]) ).
thf(f23406,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_241
| ~ spl0_281 ),
inference(constrained_superposition,[],[f22945,f14239]) ).
thf(f23410,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_241
| ~ spl0_281 ),
inference(trivial_inequality_removal,[],[f23406]) ).
thf(f23412,plain,
( $false
| ~ spl0_223
| ~ spl0_241
| ~ spl0_281 ),
inference(forward_subsumption_resolution,[],[f23410,f13972]) ).
thf(f23413,plain,
( ~ spl0_223
| ~ spl0_241
| ~ spl0_281 ),
inference(avatar_contradiction_clause,[],[f23412]) ).
thf(f23429,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f157,f2956]) ).
thf(f23430,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f68,f2956]) ).
thf(f23433,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f42,f2956]) ).
thf(f23446,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f23433]) ).
thf(f23447,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f23430]) ).
thf(f23457,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f23429]) ).
thf(f23460,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_73
| spl0_106 ),
inference(forward_subsumption_resolution,[],[f23446,f14576]) ).
thf(f23461,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_73
| spl0_77 ),
inference(forward_subsumption_resolution,[],[f23447,f4738]) ).
thf(f23463,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_73
| spl0_111 ),
inference(forward_subsumption_resolution,[],[f23457,f14585]) ).
thf(f23464,plain,
( spl0_85
| ~ spl0_75
| ~ spl0_73
| spl0_106 ),
inference(avatar_split_clause,[],[f23460,f3432,f2955,f2997,f3031]) ).
thf(f23465,plain,
( spl0_85
| ~ spl0_159
| ~ spl0_73
| spl0_77 ),
inference(avatar_split_clause,[],[f23461,f3003,f2955,f5952,f3031]) ).
thf(f23466,plain,
( ~ spl0_138
| spl0_85
| ~ spl0_73
| spl0_111 ),
inference(avatar_split_clause,[],[f23463,f3537,f2955,f3031,f4512]) ).
thf(f23478,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_189
| ~ spl0_262 ),
inference(constrained_superposition,[],[f16244,f13243]) ).
thf(f23481,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f42,f13243]) ).
thf(f23482,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_168
| ~ spl0_189 ),
inference(constrained_superposition,[],[f6474,f13243]) ).
thf(f23493,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f23481]) ).
thf(f23494,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_168
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f23482]) ).
thf(f23504,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_189
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f23478]) ).
thf(f23511,plain,
( spl0_202
| ~ spl0_133
| spl0_208
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f23493,f13242,f13387,f4420,f13362]) ).
thf(f23512,plain,
( ~ spl0_231
| ~ spl0_168
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f23494,f13242,f6473,f13970]) ).
thf(f23516,plain,
( spl0_208
| ~ spl0_189
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f23504,f16243,f13242,f13387]) ).
thf(f23579,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_226
| ~ spl0_232 ),
inference(constrained_superposition,[],[f23361,f13951]) ).
thf(f23584,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_226
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f23579]) ).
thf(f23587,plain,
( $false
| ~ spl0_57
| ~ spl0_226
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f23584,f2187]) ).
thf(f23588,plain,
( ~ spl0_57
| ~ spl0_226
| ~ spl0_232 ),
inference(avatar_contradiction_clause,[],[f23587]) ).
thf(f23618,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f26,f276]) ).
thf(f23623,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f23618]) ).
thf(f23661,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_22
| ~ spl0_195 ),
inference(constrained_superposition,[],[f23623,f13282]) ).
thf(f23664,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_22
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f23661]) ).
thf(f23666,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_266 ),
inference(avatar_component_clause,[],[f17277]) ).
thf(f23667,plain,
( spl0_204
| ~ spl0_266
| ~ spl0_22
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f23664,f13281,f275,f17277,f13371]) ).
thf(f23715,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f6105,f140]) ).
thf(f23725,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f23715]) ).
thf(f23777,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_191
| ~ spl0_229 ),
inference(constrained_superposition,[],[f13963,f13251]) ).
thf(f23786,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_191
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f23777]) ).
thf(f23797,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_191
| ~ spl0_229 ),
inference(constrained_superposition,[],[f23786,f57]) ).
thf(f23803,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_191
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f23797]) ).
thf(f23805,definition,
( spl0_283
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).
thf(f23806,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_283 ),
inference(avatar_component_clause,[],[f23805]) ).
thf(f23810,plain,
( spl0_283
| spl0_53
| ~ spl0_191
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f23803,f13962,f13250,f2062,f23805]) ).
thf(f23811,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_239
| ~ spl0_283 ),
inference(constrained_superposition,[],[f23123,f23806]) ).
thf(f23816,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_239
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f23811]) ).
thf(f23819,plain,
( $false
| ~ spl0_112
| ~ spl0_239
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f23816,f3556]) ).
thf(f23820,plain,
( ~ spl0_112
| ~ spl0_239
| ~ spl0_283 ),
inference(avatar_contradiction_clause,[],[f23819]) ).
thf(f23836,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f13297,f56]) ).
thf(f23838,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f23836]) ).
thf(f23845,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_102
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f23838,f5449]) ).
thf(f23846,plain,
( spl0_1
| ~ spl0_14
| spl0_102
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f23845,f13296,f3406,f187,f72]) ).
thf(f23894,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f23284,f27]) ).
thf(f23898,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f23894]) ).
thf(f23911,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_25
| spl0_111 ),
inference(constrained_superposition,[],[f14585,f23898]) ).
thf(f23913,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_25
| spl0_172 ),
inference(constrained_superposition,[],[f16224,f23898]) ).
thf(f23915,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_25
| spl0_172 ),
inference(trivial_inequality_removal,[],[f23913]) ).
thf(f23920,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_25
| spl0_111 ),
inference(trivial_inequality_removal,[],[f23911]) ).
thf(f23921,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_25
| spl0_172
| spl0_266 ),
inference(forward_subsumption_resolution,[],[f23915,f23666]) ).
thf(f23924,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_25
| spl0_110
| spl0_111 ),
inference(forward_subsumption_resolution,[],[f23920,f13207]) ).
thf(f23925,plain,
( spl0_126
| spl0_131
| ~ spl0_25
| spl0_172
| spl0_266 ),
inference(avatar_split_clause,[],[f23921,f17277,f6679,f315,f4365,f4081]) ).
thf(f23926,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_25
| spl0_104
| spl0_110
| spl0_111 ),
inference(forward_subsumption_resolution,[],[f23924,f13219]) ).
thf(f23927,plain,
( $false
| ~ spl0_25
| spl0_77
| spl0_104
| spl0_110
| spl0_111 ),
inference(forward_subsumption_resolution,[],[f23926,f4738]) ).
thf(f23928,plain,
( ~ spl0_25
| spl0_77
| spl0_104
| spl0_110
| spl0_111 ),
inference(avatar_contradiction_clause,[],[f23927]) ).
thf(f23976,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_105 ),
inference(constrained_superposition,[],[f26,f3430]) ).
thf(f23977,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f23976]) ).
thf(f23999,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f26,f13388]) ).
thf(f24000,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f23999]) ).
thf(f24004,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_230 ),
inference(constrained_superposition,[],[f26,f13967]) ).
thf(f24005,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f24004]) ).
thf(f24160,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_26
| spl0_93 ),
inference(constrained_superposition,[],[f11512,f319]) ).
thf(f24162,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_105 ),
inference(constrained_superposition,[],[f23977,f319]) ).
thf(f24164,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_208 ),
inference(constrained_superposition,[],[f24000,f319]) ).
thf(f24167,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_230 ),
inference(constrained_superposition,[],[f24005,f319]) ).
thf(f24169,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_112 ),
inference(constrained_superposition,[],[f22555,f319]) ).
thf(f24173,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f24164]) ).
thf(f24177,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f24162]) ).
thf(f24179,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f24167]) ).
thf(f24181,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_26
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f24169]) ).
thf(f24185,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_26
| spl0_93 ),
inference(trivial_inequality_removal,[],[f24160]) ).
thf(f24186,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_31
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f24173,f351]) ).
thf(f24187,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_31
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f24177,f351]) ).
thf(f24188,plain,
( spl0_232
| ~ spl0_26
| ~ spl0_31
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f24186,f13387,f350,f318,f13975]) ).
thf(f24189,plain,
( spl0_137
| ~ spl0_26
| ~ spl0_31
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f24187,f3429,f350,f318,f4459]) ).
thf(f24192,plain,
( ~ spl0_48
| spl0_238
| ~ spl0_26
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f24179,f13966,f318,f14024,f2001]) ).
thf(f24193,plain,
( spl0_102
| ~ spl0_26
| spl0_93 ),
inference(avatar_split_clause,[],[f24185,f3058,f318,f3406]) ).
thf(f24194,plain,
( ~ spl0_48
| spl0_102
| ~ spl0_26
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f24181,f3555,f318,f3406,f2001]) ).
thf(f24205,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f26,f1974]) ).
thf(f24206,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f24205]) ).
thf(f24207,plain,
( spl0_280
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f24206,f1973,f22940]) ).
thf(f24210,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_106 ),
inference(constrained_superposition,[],[f26,f3433]) ).
thf(f24211,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f24210]) ).
thf(f24212,plain,
( spl0_281
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f24211,f3432,f22944]) ).
thf(f24249,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f316,f27]) ).
thf(f24250,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f316,f36]) ).
thf(f24258,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f24249]) ).
thf(f24260,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f24250]) ).
thf(f24323,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f26,f4085]) ).
thf(f24324,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f24323]) ).
thf(f24328,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_222 ),
inference(constrained_superposition,[],[f13862,f27]) ).
thf(f24330,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_222 ),
inference(trivial_inequality_removal,[],[f24328]) ).
thf(f24333,plain,
( spl0_214
| spl0_265
| spl0_222 ),
inference(avatar_split_clause,[],[f24330,f13861,f17012,f13454]) ).
thf(f24358,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_86 ),
inference(constrained_superposition,[],[f26,f3035]) ).
thf(f24359,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f24358]) ).
thf(f24373,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_130 ),
inference(constrained_superposition,[],[f26,f4360]) ).
thf(f24375,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f24373]) ).
thf(f24394,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f312,f2956]) ).
thf(f24404,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f24394]) ).
thf(f24438,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_127
| ~ spl0_130 ),
inference(constrained_superposition,[],[f24324,f4360]) ).
thf(f24440,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_127
| ~ spl0_137 ),
inference(constrained_superposition,[],[f24324,f4460]) ).
thf(f24442,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_127
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f24438]) ).
thf(f24445,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_127
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f24440]) ).
thf(f24446,plain,
( $false
| ~ spl0_52
| ~ spl0_127
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f24442,f2059]) ).
thf(f24447,plain,
( ~ spl0_52
| ~ spl0_127
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f24446]) ).
thf(f24448,plain,
( $false
| ~ spl0_7
| ~ spl0_127
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f24445,f164]) ).
thf(f24449,plain,
( ~ spl0_7
| ~ spl0_127
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f24448]) ).
thf(f24450,plain,
( spl0_98
| ~ spl0_99
| spl0_127
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f24404,f2955,f4084,f3282,f3279]) ).
thf(f24458,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_153 ),
inference(constrained_superposition,[],[f5588,f27]) ).
thf(f24459,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f24458]) ).
thf(f24507,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_261 ),
inference(constrained_superposition,[],[f16239,f141]) ).
thf(f24512,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f24507]) ).
thf(f24628,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_86
| ~ spl0_153 ),
inference(constrained_superposition,[],[f24359,f24459]) ).
thf(f24643,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_86
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f24628]) ).
thf(f24661,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_48
| ~ spl0_86
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f24643,f2002]) ).
thf(f24662,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_48
| ~ spl0_86
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f24661,f29]) ).
thf(f24663,plain,
( spl0_79
| spl0_128
| ~ spl0_48
| ~ spl0_86
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f24662,f5587,f3034,f2001,f4088,f3010]) ).
thf(f24676,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_130
| ~ spl0_153 ),
inference(constrained_superposition,[],[f24375,f24459]) ).
thf(f24679,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_130
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f24676]) ).
thf(f24684,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_130
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f24679,f29]) ).
thf(f24685,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_48
| ~ spl0_130
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f24684,f2002]) ).
thf(f24686,plain,
( spl0_128
| spl0_79
| ~ spl0_48
| ~ spl0_130
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f24685,f5587,f4359,f2001,f3010,f4088]) ).
thf(f24687,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f24258,f27]) ).
thf(f24694,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f24687]) ).
thf(f24695,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f24260,f36]) ).
thf(f24699,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f24695]) ).
thf(f24783,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f26,f330]) ).
thf(f24784,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f24783]) ).
thf(f24803,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_195 ),
inference(constrained_superposition,[],[f24784,f13282]) ).
thf(f24804,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_192 ),
inference(constrained_superposition,[],[f24784,f13254]) ).
thf(f24805,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_29
| ~ spl0_74 ),
inference(constrained_superposition,[],[f24784,f2959]) ).
thf(f24808,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_137 ),
inference(constrained_superposition,[],[f24784,f4460]) ).
thf(f24813,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f24805]) ).
thf(f24814,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f24804]) ).
thf(f24824,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f24803]) ).
thf(f24829,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_29
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f24808]) ).
thf(f24831,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_111
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f24814,f3538]) ).
thf(f24833,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_172
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f24824,f6680]) ).
thf(f24834,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f24829,f164]) ).
thf(f24836,plain,
( spl0_204
| ~ spl0_29
| ~ spl0_111
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f24831,f13253,f3537,f329,f13371]) ).
thf(f24837,plain,
( spl0_204
| ~ spl0_29
| ~ spl0_172
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f24833,f13281,f6679,f329,f13371]) ).
thf(f24838,plain,
( spl0_79
| ~ spl0_7
| ~ spl0_29
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f24834,f4459,f329,f163,f3010]) ).
thf(f24839,plain,
( ~ spl0_111
| spl0_79
| ~ spl0_29
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f24813,f2958,f329,f3010,f3537]) ).
thf(f24840,plain,
( spl0_72
| spl0_71
| spl0_110 ),
inference(avatar_split_clause,[],[f13269,f3534,f2948,f2951]) ).
thf(f24841,plain,
( ~ spl0_14
| spl0_52
| spl0_9
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f23725,f6104,f170,f2058,f187]) ).
thf(f24842,plain,
( spl0_9
| spl0_93
| ~ spl0_17
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f24512,f16238,f243,f3058,f170]) ).
thf(f24874,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_25
| spl0_52 ),
inference(constrained_superposition,[],[f12527,f24699]) ).
thf(f24875,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_25
| spl0_52 ),
inference(constrained_superposition,[],[f12527,f24694]) ).
thf(f24879,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_25
| spl0_52 ),
inference(trivial_inequality_removal,[],[f24875]) ).
thf(f24880,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_25
| spl0_52 ),
inference(trivial_inequality_removal,[],[f24874]) ).
thf(f24883,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_25
| spl0_52
| spl0_57 ),
inference(forward_subsumption_resolution,[],[f24879,f5059]) ).
thf(f24884,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_25
| spl0_52 ),
inference(forward_subsumption_resolution,[],[f24880,f29]) ).
thf(f24887,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_25
| spl0_52
| spl0_54
| spl0_57 ),
inference(forward_subsumption_resolution,[],[f24883,f2920]) ).
thf(f24888,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_25
| spl0_52
| spl0_57 ),
inference(forward_subsumption_resolution,[],[f24884,f5059]) ).
thf(f24889,plain,
( spl0_53
| ~ spl0_25
| spl0_52
| spl0_54
| spl0_57 ),
inference(avatar_split_clause,[],[f24887,f2186,f2153,f2058,f315,f2062]) ).
thf(f24890,plain,
( spl0_16
| ~ spl0_25
| spl0_52
| spl0_57 ),
inference(avatar_split_clause,[],[f24888,f2186,f2058,f315,f211]) ).
thf(f24894,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_29
| spl0_48 ),
inference(constrained_superposition,[],[f17734,f330]) ).
thf(f24901,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_29
| spl0_48 ),
inference(trivial_inequality_removal,[],[f24894]) ).
thf(f24909,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_93 ),
inference(constrained_superposition,[],[f26,f3059]) ).
thf(f24911,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f24909]) ).
thf(f24912,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_105 ),
inference(constrained_superposition,[],[f26,f3430]) ).
thf(f24913,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f24912]) ).
thf(f24945,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_84 ),
inference(constrained_superposition,[],[f24784,f3028]) ).
thf(f24948,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_29
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f24945]) ).
thf(f24953,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_87 ),
inference(constrained_superposition,[],[f3038,f27]) ).
thf(f24956,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_87 ),
inference(trivial_inequality_removal,[],[f24953]) ).
thf(f24961,plain,
( spl0_113
| spl0_112
| spl0_87 ),
inference(avatar_split_clause,[],[f24956,f3037,f3555,f3559]) ).
thf(f24967,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_29
| ~ spl0_112 ),
inference(constrained_superposition,[],[f24784,f3556]) ).
thf(f24971,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f24967]) ).
thf(f24994,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f26,f3069]) ).
thf(f24995,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f24994]) ).
thf(f25074,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_90 ),
inference(constrained_superposition,[],[f3049,f1544]) ).
thf(f25084,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f25074]) ).
thf(f25086,plain,
( ~ spl0_44
| spl0_130
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f25084,f3048,f4359,f1986]) ).
thf(f25088,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_130 ),
inference(constrained_superposition,[],[f26,f4360]) ).
thf(f25089,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f25088]) ).
thf(f25091,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_93 ),
inference(constrained_superposition,[],[f24911,f3028]) ).
thf(f25101,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_84
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f25091]) ).
thf(f25107,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_105
| ~ spl0_127 ),
inference(constrained_superposition,[],[f24913,f4085]) ).
thf(f25108,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_105 ),
inference(constrained_superposition,[],[f24913,f330]) ).
thf(f25114,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_105
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f25107]) ).
thf(f25116,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_29
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f25108]) ).
thf(f25121,plain,
( ~ spl0_31
| spl0_79
| ~ spl0_29
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f25116,f3429,f329,f3010,f350]) ).
thf(f25124,plain,
( ~ spl0_31
| ~ spl0_105
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f25114,f4084,f3429,f350]) ).
thf(f25162,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_71
| ~ spl0_262 ),
inference(constrained_superposition,[],[f16244,f2949]) ).
thf(f25164,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_71
| ~ spl0_261 ),
inference(constrained_superposition,[],[f16239,f2949]) ).
thf(f25178,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f30,f2949]) ).
thf(f25183,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f25178]) ).
thf(f25187,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_71
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f25162]) ).
thf(f25189,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_71
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f25164]) ).
thf(f25200,plain,
( ~ spl0_136
| spl0_79
| ~ spl0_71
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f25189,f16238,f2948,f3010,f4434]) ).
thf(f25275,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f49,f13243]) ).
thf(f25280,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f30,f13243]) ).
thf(f25293,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f25280]) ).
thf(f25298,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f25275]) ).
thf(f25342,plain,
( ~ spl0_210
| spl0_209
| spl0_76
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f25298,f13242,f3000,f13391,f13394]) ).
thf(f25377,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_73
| ~ spl0_90 ),
inference(constrained_superposition,[],[f3049,f2956]) ).
thf(f25400,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_73
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f25377]) ).
thf(f25406,plain,
( ~ spl0_133
| ~ spl0_73
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f25400,f3048,f2955,f4420]) ).
thf(f25410,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_74 ),
inference(constrained_superposition,[],[f26,f2959]) ).
thf(f25411,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f25410]) ).
thf(f25416,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f26,f13254]) ).
thf(f25418,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f25416]) ).
thf(f25421,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_96 ),
inference(constrained_superposition,[],[f24995,f2959]) ).
thf(f25431,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_74
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f25421]) ).
thf(f25465,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f157,f13279]) ).
thf(f25466,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( 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 @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f68,f13279]) ).
thf(f25470,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f2555,f13279]) ).
thf(f25471,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f312,f13279]) ).
thf(f25472,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f126,f13279]) ).
thf(f25473,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f1626,f13279]) ).
thf(f25479,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f30,f13279]) ).
thf(f25481,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f25465]) ).
thf(f25483,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f25479]) ).
thf(f25484,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f25472]) ).
thf(f25487,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f25473]) ).
thf(f25489,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f25470]) ).
thf(f25492,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f25466]) ).
thf(f25494,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f25471]) ).
thf(f25515,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f30,f13289]) ).
thf(f25518,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f25515]) ).
thf(f25536,plain,
( spl0_225
| spl0_226
| ~ spl0_227
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f25489,f13278,f13953,f13950,f13947]) ).
thf(f25564,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_86
| ~ spl0_280 ),
inference(constrained_superposition,[],[f22941,f3035]) ).
thf(f25568,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_86
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f25564]) ).
thf(f25570,plain,
( $false
| ~ spl0_86
| ~ spl0_105
| ~ spl0_280 ),
inference(forward_subsumption_resolution,[],[f25568,f3430]) ).
thf(f25571,plain,
( ~ spl0_86
| ~ spl0_105
| ~ spl0_280 ),
inference(avatar_contradiction_clause,[],[f25570]) ).
thf(f25583,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_130 ),
inference(constrained_superposition,[],[f25089,f2959]) ).
thf(f25594,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_74
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f25583]) ).
thf(f25596,plain,
( $false
| ~ spl0_74
| ~ spl0_112
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f25594,f3556]) ).
thf(f25597,plain,
( ~ spl0_74
| ~ spl0_112
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f25596]) ).
thf(f25627,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_127 ),
inference(constrained_superposition,[],[f25411,f4085]) ).
thf(f25638,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_74
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f25627]) ).
thf(f25640,plain,
( $false
| ~ spl0_74
| ~ spl0_93
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f25638,f3059]) ).
thf(f25641,plain,
( ~ spl0_74
| ~ spl0_93
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f25640]) ).
thf(f25646,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_192
| ~ spl0_217 ),
inference(constrained_superposition,[],[f25418,f13500]) ).
thf(f25656,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_192
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f25646]) ).
thf(f25659,plain,
( $false
| ~ spl0_93
| ~ spl0_192
| ~ spl0_217 ),
inference(forward_subsumption_resolution,[],[f25656,f3059]) ).
thf(f25660,plain,
( ~ spl0_93
| ~ spl0_192
| ~ spl0_217 ),
inference(avatar_contradiction_clause,[],[f25659]) ).
thf(f25661,plain,
( spl0_217
| ~ spl0_171
| spl0_170
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f25494,f13278,f6673,f6676,f13499]) ).
thf(f25666,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_170
| ~ spl0_197 ),
inference(constrained_superposition,[],[f6674,f13289]) ).
thf(f25670,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f6674,f35]) ).
thf(f25672,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_170
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f25666]) ).
thf(f25674,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f25670]) ).
thf(f25680,plain,
( ~ spl0_219
| ~ spl0_170
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f25672,f13288,f6673,f13848]) ).
thf(f25681,plain,
( spl0_224
| ~ spl0_20
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f25674,f6673,f253,f13907]) ).
thf(f25690,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f13293,f1543]) ).
thf(f25693,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f13293,f55]) ).
thf(f25697,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f25690]) ).
thf(f25703,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f25693]) ).
thf(f25706,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f25183,f140]) ).
thf(f25708,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f25183,f55]) ).
thf(f25710,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f25183,f34]) ).
thf(f25714,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f25706]) ).
thf(f25719,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f25708]) ).
thf(f25721,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f25710]) ).
thf(f25727,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f25483,f1544]) ).
thf(f25728,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $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 != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f25483,f141]) ).
thf(f25729,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f25483,f56]) ).
thf(f25730,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f25483,f35]) ).
thf(f25732,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f25728]) ).
thf(f25734,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f25729]) ).
thf(f25735,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f25730]) ).
thf(f25740,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f25727]) ).
thf(f25741,plain,
( spl0_217
| spl0_170
| ~ spl0_173
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f25732,f13278,f6683,f6673,f13499]) ).
thf(f25753,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f25293,f140]) ).
thf(f25765,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f25753]) ).
thf(f25771,definition,
( spl0_285
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
thf(f25772,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_285 ),
inference(avatar_component_clause,[],[f25771]) ).
thf(f25774,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_285 ),
inference(constrained_superposition,[],[f25772,f138]) ).
thf(f25776,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_285 ),
inference(constrained_superposition,[],[f25772,f36]) ).
thf(f25779,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_285 ),
inference(trivial_inequality_removal,[],[f25774]) ).
thf(f25781,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_285 ),
inference(trivial_inequality_removal,[],[f25776]) ).
thf(f25783,plain,
( spl0_241
| spl0_16
| spl0_285 ),
inference(avatar_split_clause,[],[f25779,f25771,f211,f14238]) ).
thf(f25785,plain,
( spl0_241
| spl0_113
| spl0_285 ),
inference(avatar_split_clause,[],[f25781,f25771,f3559,f14238]) ).
thf(f25804,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_189
| ~ spl0_197 ),
inference(constrained_superposition,[],[f25518,f13243]) ).
thf(f25821,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_189
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f25804]) ).
thf(f25825,definition,
( spl0_286
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).
thf(f25826,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_286 ),
inference(avatar_component_clause,[],[f25825]) ).
thf(f25827,plain,
( spl0_202
| ~ spl0_286
| ~ spl0_189
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f25821,f13288,f13242,f25825,f13362]) ).
thf(f25830,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_286 ),
inference(constrained_superposition,[],[f25826,f36]) ).
thf(f25832,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f25830]) ).
thf(f25836,plain,
( spl0_113
| spl0_283
| spl0_286 ),
inference(avatar_split_clause,[],[f25832,f25825,f23805,f3559]) ).
thf(f25840,plain,
( ~ spl0_111
| ~ spl0_74
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f25431,f3068,f2958,f3537]) ).
thf(f25841,plain,
( spl0_232
| ~ spl0_233
| spl0_234
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f25484,f13278,f13981,f13978,f13975]) ).
thf(f25842,plain,
( spl0_229
| ~ spl0_222
| spl0_266
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f25492,f13278,f17277,f13861,f13962]) ).
thf(f25843,plain,
( spl0_212
| spl0_207
| ~ spl0_99
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f25765,f13242,f3282,f13382,f13402]) ).
thf(f25844,plain,
( spl0_234
| ~ spl0_254
| spl0_232
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f25734,f13278,f13975,f15108,f13981]) ).
thf(f25845,plain,
( spl0_226
| spl0_225
| ~ spl0_255
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f25740,f13278,f15112,f13947,f13950]) ).
thf(f25847,plain,
( spl0_92
| ~ spl0_99
| spl0_96
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f25714,f2948,f3068,f3282,f3055]) ).
thf(f25859,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_95 ),
inference(constrained_superposition,[],[f3066,f27]) ).
thf(f25862,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_95 ),
inference(trivial_inequality_removal,[],[f25859]) ).
thf(f25865,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_95
| spl0_110 ),
inference(forward_subsumption_resolution,[],[f25862,f13207]) ).
thf(f25867,plain,
( spl0_111
| spl0_95
| spl0_110 ),
inference(avatar_split_clause,[],[f25865,f3534,f3065,f3537]) ).
thf(f25966,definition,
( spl0_287
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
thf(f25967,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f25966]) ).
thf(f25975,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f26,f13286]) ).
thf(f25979,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f25975]) ).
thf(f26005,plain,
( spl0_172
| spl0_229
| ~ spl0_219
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f25481,f13278,f13848,f13962,f6679]) ).
thf(f26016,plain,
( spl0_105
| ~ spl0_71
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f25187,f16243,f2948,f3429]) ).
thf(f26021,plain,
( spl0_89
| ~ spl0_163
| spl0_135
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f25719,f2948,f4431,f6092,f3044]) ).
thf(f26023,plain,
( spl0_40
| ~ spl0_29
| spl0_48 ),
inference(avatar_split_clause,[],[f24901,f2001,f329,f1973]) ).
thf(f26026,plain,
( ~ spl0_52
| ~ spl0_84
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f25101,f3058,f3027,f2058]) ).
thf(f26028,plain,
( spl0_90
| spl0_105
| ~ spl0_147
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f25721,f2948,f5301,f3429,f3048]) ).
thf(f26030,definition,
( spl0_288
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).
thf(f26031,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_288 ),
inference(avatar_component_clause,[],[f26030]) ).
thf(f26032,plain,
( ~ spl0_288
| spl0_204
| spl0_260
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f25735,f13278,f15786,f13371,f26030]) ).
thf(f26033,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f25487,f29]) ).
thf(f26036,plain,
( ~ spl0_52
| spl0_76
| ~ spl0_29
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f24948,f3027,f329,f3000,f2058]) ).
thf(f26037,plain,
( ~ spl0_111
| spl0_40
| ~ spl0_29
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f24971,f3555,f329,f1973,f3537]) ).
thf(f26041,plain,
( spl0_208
| ~ spl0_259
| spl0_223
| spl0_204
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f26033,f13278,f13371,f13882,f15783,f13387]) ).
thf(f26042,plain,
( ~ spl0_45
| spl0_112
| spl0_40
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f25697,f13292,f1973,f3555,f1990]) ).
thf(f26043,plain,
( spl0_77
| ~ spl0_17
| spl0_1
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f25703,f13292,f72,f243,f3003]) ).
thf(f26115,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_223 ),
inference(constrained_superposition,[],[f26,f13972]) ).
thf(f26116,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f26115]) ).
thf(f26117,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_224 ),
inference(constrained_superposition,[],[f26,f13908]) ).
thf(f26118,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f26117]) ).
thf(f26193,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f26,f17013]) ).
thf(f26195,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f26193]) ).
thf(f26240,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f26,f2952]) ).
thf(f26242,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f26240]) ).
thf(f26248,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_74 ),
inference(constrained_superposition,[],[f26,f2959]) ).
thf(f26250,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f26248]) ).
thf(f26254,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_201 ),
inference(constrained_superposition,[],[f26,f13360]) ).
thf(f26258,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f26254]) ).
thf(f26261,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f26,f13246]) ).
thf(f26264,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f26261]) ).
thf(f26270,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_265 ),
inference(constrained_superposition,[],[f26195,f330]) ).
thf(f26274,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f26270]) ).
thf(f26275,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_15
| ~ spl0_29
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f26274,f209]) ).
thf(f26276,plain,
( spl0_204
| ~ spl0_15
| ~ spl0_29
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f26275,f17012,f329,f208,f13371]) ).
thf(f26296,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_201 ),
inference(constrained_superposition,[],[f26258,f330]) ).
thf(f26301,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_29
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f26296]) ).
thf(f26302,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_48
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f26301,f2002]) ).
thf(f26303,plain,
( spl0_204
| ~ spl0_29
| ~ spl0_48
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f26302,f13359,f2001,f329,f13371]) ).
thf(f26335,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_190
| ~ spl0_195 ),
inference(constrained_superposition,[],[f26264,f13282]) ).
thf(f26341,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_190
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f26335]) ).
thf(f26361,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_192
| ~ spl0_196 ),
inference(constrained_superposition,[],[f25979,f13254]) ).
thf(f26367,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_192
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f26361]) ).
thf(f26388,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_22
| ~ spl0_29 ),
inference(constrained_superposition,[],[f24784,f276]) ).
thf(f26400,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_22
| ~ spl0_29 ),
inference(duplicate_literal_removal,[],[f26388]) ).
thf(f26401,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_22
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f26400]) ).
thf(f26412,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_7
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f26401,f164]) ).
thf(f26417,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_72 ),
inference(constrained_superposition,[],[f26242,f26412]) ).
thf(f26418,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_196 ),
inference(constrained_superposition,[],[f25979,f26412]) ).
thf(f26419,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_190 ),
inference(constrained_superposition,[],[f26264,f26412]) ).
thf(f26424,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f26419]) ).
thf(f26426,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f26417]) ).
thf(f26427,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f26418]) ).
thf(f26429,plain,
( $false
| ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_76
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f26424,f3001]) ).
thf(f26430,plain,
( ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_76
| ~ spl0_190 ),
inference(avatar_contradiction_clause,[],[f26429]) ).
thf(f26431,plain,
( $false
| ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_72
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f26426,f3001]) ).
thf(f26432,plain,
( ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_72
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f26431]) ).
thf(f26433,plain,
( $false
| ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_196
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f26427,f13908]) ).
thf(f26434,plain,
( ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_196
| ~ spl0_224 ),
inference(avatar_contradiction_clause,[],[f26433]) ).
thf(f26841,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_53 ),
inference(avatar_component_clause,[],[f2062]) ).
thf(f26865,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_53 ),
inference(extensionality_resolution,[],[f138,f26841]) ).
thf(f26866,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_53 ),
inference(extensionality_resolution,[],[f138,f26841]) ).
thf(f26868,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_53 ),
inference(extensionality_resolution,[],[f1237,f26841]) ).
thf(f26871,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_53 ),
inference(extensionality_resolution,[],[f57,f26841]) ).
thf(f26872,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_53 ),
inference(extensionality_resolution,[],[f57,f26841]) ).
thf(f26877,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_53
| ~ spl0_192
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f26871,f26367]) ).
thf(f26879,definition,
( spl0_292
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
thf(f26880,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f26879]) ).
thf(f26882,definition,
( spl0_293
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).
thf(f26883,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f26882]) ).
thf(f26884,plain,
( spl0_292
| spl0_293
| spl0_53 ),
inference(avatar_split_clause,[],[f26865,f2062,f26882,f26879]) ).
thf(f26885,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_53
| ~ spl0_190
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f26872,f26341]) ).
thf(f26887,definition,
( spl0_294
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
thf(f26888,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f26887]) ).
thf(f26890,definition,
( spl0_295
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).
thf(f26891,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_295 ),
inference(avatar_component_clause,[],[f26890]) ).
thf(f26892,plain,
( spl0_294
| spl0_295
| spl0_53 ),
inference(avatar_split_clause,[],[f26866,f2062,f26890,f26887]) ).
thf(f26894,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| spl0_53
| ~ spl0_192
| ~ spl0_196 ),
inference(constrained_superposition,[],[f1952,f26877]) ).
thf(f26896,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| spl0_53
| ~ spl0_192
| ~ spl0_196 ),
inference(constrained_superposition,[],[f68,f26877]) ).
thf(f26917,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| spl0_53
| ~ spl0_192
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f26896]) ).
thf(f26919,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| spl0_53
| ~ spl0_192
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f26894]) ).
thf(f26930,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| spl0_53
| spl0_77
| ~ spl0_192
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f26917,f4738]) ).
thf(f26932,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_53
| spl0_112
| ~ spl0_192
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f26919,f19495]) ).
thf(f26943,plain,
( ~ spl0_254
| spl0_287
| spl0_53
| spl0_77
| ~ spl0_192
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f26930,f13285,f13253,f3003,f2062,f25966,f15108]) ).
thf(f26945,plain,
( ~ spl0_255
| spl0_287
| spl0_53
| spl0_112
| ~ spl0_192
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f26932,f13285,f13253,f3555,f2062,f25966,f15112]) ).
thf(f26946,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f25825]) ).
thf(f26956,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f26,f3069]) ).
thf(f26958,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f26956]) ).
thf(f26960,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_29
| ~ spl0_232 ),
inference(constrained_superposition,[],[f24784,f13976]) ).
thf(f26962,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_29
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f26960]) ).
thf(f26965,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_7
| ~ spl0_29
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f26962,f164]) ).
thf(f26966,plain,
( spl0_204
| ~ spl0_7
| ~ spl0_29
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f26965,f13975,f329,f163,f13371]) ).
thf(f26988,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_211 ),
inference(constrained_superposition,[],[f13400,f27]) ).
thf(f26992,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| spl0_211 ),
inference(trivial_inequality_removal,[],[f26988]) ).
thf(f26995,plain,
( spl0_217
| spl0_213
| spl0_211 ),
inference(avatar_split_clause,[],[f26992,f13399,f13450,f13499]) ).
thf(f27001,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| spl0_53
| ~ spl0_190
| ~ spl0_195 ),
inference(constrained_superposition,[],[f157,f26885]) ).
thf(f27009,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| spl0_53
| ~ spl0_190
| ~ spl0_195 ),
inference(constrained_superposition,[],[f312,f26885]) ).
thf(f27023,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| spl0_53
| ~ spl0_190
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f27009]) ).
thf(f27034,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_53
| ~ spl0_190
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f27001]) ).
thf(f27044,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_53
| spl0_93
| ~ spl0_190
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f27023,f11512]) ).
thf(f27048,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_53
| spl0_172
| ~ spl0_190
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f27034,f16224]) ).
thf(f27050,plain,
( ~ spl0_171
| spl0_170
| spl0_53
| spl0_93
| ~ spl0_190
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f27044,f13281,f13245,f3058,f2062,f6673,f6676]) ).
thf(f27054,plain,
( spl0_287
| ~ spl0_95
| spl0_53
| spl0_172
| ~ spl0_190
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f27048,f13281,f13245,f6679,f2062,f3065,f25966]) ).
thf(f27055,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f25771]) ).
thf(f27057,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_288 ),
inference(constrained_superposition,[],[f26031,f34]) ).
thf(f27059,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_288 ),
inference(trivial_inequality_removal,[],[f27057]) ).
thf(f27062,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f1952,f26946]) ).
thf(f27063,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f157,f26946]) ).
thf(f27064,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f68,f26946]) ).
thf(f27068,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f2555,f26946]) ).
thf(f27069,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f312,f26946]) ).
thf(f27070,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f126,f26946]) ).
thf(f27078,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f27063]) ).
thf(f27079,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f27068]) ).
thf(f27081,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f27069]) ).
thf(f27082,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f27064]) ).
thf(f27087,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f27062]) ).
thf(f27094,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f27070]) ).
thf(f27095,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| spl0_111
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f27078,f14585]) ).
thf(f27096,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| spl0_239
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f27079,f18456]) ).
thf(f27098,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_174
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f27081,f15587]) ).
thf(f27099,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| spl0_77
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f27082,f4738]) ).
thf(f27100,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_112
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f27087,f19495]) ).
thf(f27101,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_238
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f27094,f20181]) ).
thf(f27102,plain,
( spl0_287
| ~ spl0_173
| spl0_111
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f27095,f25825,f3537,f6683,f25966]) ).
thf(f27103,plain,
( ~ spl0_142
| spl0_143
| spl0_239
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f27096,f25825,f14078,f4530,f4527]) ).
thf(f27104,plain,
( ~ spl0_99
| spl0_98
| spl0_174
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f27098,f25825,f6686,f3279,f3282]) ).
thf(f27105,plain,
( spl0_287
| ~ spl0_254
| spl0_77
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f27099,f25825,f3003,f15108,f25966]) ).
thf(f27106,plain,
( ~ spl0_255
| spl0_287
| spl0_112
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f27100,f25825,f3555,f25966,f15112]) ).
thf(f27107,plain,
( spl0_162
| ~ spl0_163
| spl0_238
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f27101,f25825,f14024,f6092,f6089]) ).
thf(f27123,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_223
| ~ spl0_283 ),
inference(constrained_superposition,[],[f26116,f23806]) ).
thf(f27124,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_283 ),
inference(constrained_superposition,[],[f26,f23806]) ).
thf(f27125,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_223
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f27123]) ).
thf(f27126,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f27124]) ).
thf(f27127,plain,
( $false
| ~ spl0_106
| ~ spl0_223
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f27125,f3433]) ).
thf(f27128,plain,
( ~ spl0_106
| ~ spl0_223
| ~ spl0_283 ),
inference(avatar_contradiction_clause,[],[f27127]) ).
thf(f27130,plain,
( spl0_223
| spl0_288 ),
inference(avatar_split_clause,[],[f27059,f26030,f13882]) ).
thf(f27146,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_99 ),
inference(constrained_superposition,[],[f3283,f27]) ).
thf(f27149,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_99 ),
inference(trivial_inequality_removal,[],[f27146]) ).
thf(f27152,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_99
| spl0_110 ),
inference(forward_subsumption_resolution,[],[f27149,f13207]) ).
thf(f27154,plain,
( spl0_93
| spl0_99
| spl0_110 ),
inference(avatar_split_clause,[],[f27152,f3534,f3282,f3058]) ).
thf(f27156,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_93 ),
inference(constrained_superposition,[],[f26,f3059]) ).
thf(f27158,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f27156]) ).
thf(f27168,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_171 ),
inference(constrained_superposition,[],[f6677,f27]) ).
thf(f27169,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_171 ),
inference(trivial_inequality_removal,[],[f27168]) ).
thf(f27173,plain,
( spl0_174
| spl0_131
| spl0_171 ),
inference(avatar_split_clause,[],[f27169,f6676,f4365,f6686]) ).
thf(f27177,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f26,f6680]) ).
thf(f27179,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f27177]) ).
thf(f27184,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_136 ),
inference(constrained_superposition,[],[f4435,f27]) ).
thf(f27185,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_136 ),
inference(trivial_inequality_removal,[],[f27184]) ).
thf(f27188,plain,
( spl0_107
| spl0_137
| spl0_136 ),
inference(avatar_split_clause,[],[f27185,f4434,f4459,f3435]) ).
thf(f27190,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f26,f4460]) ).
thf(f27191,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f27190]) ).
thf(f27192,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_224
| ~ spl0_283 ),
inference(constrained_superposition,[],[f26118,f23806]) ).
thf(f27198,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_224
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f27192]) ).
thf(f27200,plain,
( $false
| ~ spl0_106
| ~ spl0_224
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f27198,f3433]) ).
thf(f27201,plain,
( ~ spl0_106
| ~ spl0_224
| ~ spl0_283 ),
inference(avatar_contradiction_clause,[],[f27200]) ).
thf(f27220,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_261
| ~ spl0_285 ),
inference(constrained_superposition,[],[f16239,f27055]) ).
thf(f27249,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_261
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f27220]) ).
thf(f27260,plain,
( spl0_224
| ~ spl0_233
| ~ spl0_261
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f27249,f25771,f16238,f13978,f13907]) ).
thf(f27282,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_93
| ~ spl0_241 ),
inference(constrained_superposition,[],[f27158,f14239]) ).
thf(f27289,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_93
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f27282]) ).
thf(f27290,plain,
( $false
| ~ spl0_93
| ~ spl0_172
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f27289,f6680]) ).
thf(f27291,plain,
( ~ spl0_93
| ~ spl0_172
| ~ spl0_241 ),
inference(avatar_contradiction_clause,[],[f27290]) ).
thf(f27353,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f1952,f2949]) ).
thf(f27354,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f157,f2949]) ).
thf(f27355,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f68,f2949]) ).
thf(f27359,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f42,f2949]) ).
thf(f27360,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f2555,f2949]) ).
thf(f27362,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f126,f2949]) ).
thf(f27363,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f1626,f2949]) ).
thf(f27364,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f49,f2949]) ).
thf(f27370,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f27354]) ).
thf(f27372,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f27360]) ).
thf(f27374,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f27363]) ).
thf(f27375,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f27364]) ).
thf(f27378,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f27353]) ).
thf(f27382,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f27362]) ).
thf(f27384,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f27355]) ).
thf(f27386,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f27359]) ).
thf(f27389,plain,
( spl0_86
| spl0_85
| ~ spl0_87
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f27378,f2948,f3037,f3031,f3034]) ).
thf(f27426,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f4432,f141]) ).
thf(f27434,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f27426]) ).
thf(f27489,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f1952,f13251]) ).
thf(f27494,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f42,f13251]) ).
thf(f27495,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f2555,f13251]) ).
thf(f27497,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f126,f13251]) ).
thf(f27498,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f1626,f13251]) ).
thf(f27499,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f49,f13251]) ).
thf(f27506,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f27494]) ).
thf(f27510,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f27497]) ).
thf(f27513,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f27489]) ).
thf(f27517,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f27498]) ).
thf(f27519,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f27495]) ).
thf(f27520,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f27499]) ).
thf(f27523,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| spl0_112
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f27513,f19495]) ).
thf(f27526,plain,
( ~ spl0_218
| spl0_202
| spl0_112
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f27523,f13250,f3555,f13362,f13844]) ).
thf(f27534,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_135
| ~ spl0_292 ),
inference(constrained_superposition,[],[f4432,f26880]) ).
thf(f27536,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f312,f26880]) ).
thf(f27538,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f1626,f26880]) ).
thf(f27539,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f49,f26880]) ).
thf(f27549,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f27538]) ).
thf(f27552,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f27536]) ).
thf(f27554,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_135
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f27534]) ).
thf(f27558,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f27539]) ).
thf(f27566,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_223
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f27549,f13883]) ).
thf(f27568,plain,
( ~ spl0_171
| spl0_127
| spl0_170
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f27552,f26879,f6673,f4084,f6676]) ).
thf(f27569,plain,
( ~ spl0_254
| ~ spl0_135
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f27554,f26879,f4431,f15108]) ).
thf(f27570,plain,
( ~ spl0_259
| spl0_79
| spl0_260
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f27558,f26879,f15786,f3010,f15783]) ).
thf(f27580,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_223
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f27566,f29]) ).
thf(f27587,plain,
( ~ spl0_259
| spl0_79
| spl0_105
| spl0_223
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f27580,f26879,f13882,f3429,f3010,f15783]) ).
thf(f27588,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_137
| ~ spl0_293 ),
inference(constrained_superposition,[],[f27191,f26883]) ).
thf(f27589,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f26,f26883]) ).
thf(f27590,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_137
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f27588]) ).
thf(f27591,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f27589]) ).
thf(f27599,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f312,f26891]) ).
thf(f27601,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f1626,f26891]) ).
thf(f27602,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f49,f26891]) ).
thf(f27608,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f27602]) ).
thf(f27617,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f27599]) ).
thf(f27619,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f27601]) ).
thf(f27624,plain,
( spl0_90
| spl0_224
| ~ spl0_91
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f27608,f26890,f3051,f13907,f3048]) ).
thf(f27637,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| spl0_174
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f27617,f15587]) ).
thf(f27638,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_223
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f27619,f13883]) ).
thf(f27647,plain,
( spl0_92
| ~ spl0_94
| spl0_174
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f27637,f26890,f6686,f3061,f3055]) ).
thf(f27648,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_223
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f27638,f29]) ).
thf(f27650,plain,
( ~ spl0_91
| spl0_224
| spl0_105
| spl0_223
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f27648,f26890,f13882,f3429,f13907,f3051]) ).
thf(f27651,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_172
| ~ spl0_294 ),
inference(constrained_superposition,[],[f27179,f26888]) ).
thf(f27654,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_172
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f27651]) ).
thf(f27657,plain,
( $false
| ~ spl0_96
| ~ spl0_172
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f27654,f3069]) ).
thf(f27658,plain,
( ~ spl0_96
| ~ spl0_172
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f27657]) ).
thf(f27660,plain,
( spl0_127
| ~ spl0_14
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f27434,f4431,f187,f4084]) ).
thf(f27661,plain,
( ~ spl0_266
| ~ spl0_137
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f27590,f26882,f4459,f17277]) ).
thf(f27662,plain,
( spl0_89
| spl0_85
| ~ spl0_88
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f27384,f2948,f3041,f3031,f3044]) ).
thf(f27671,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f26,f6687]) ).
thf(f27672,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f27671]) ).
thf(f27708,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_174
| ~ spl0_294 ),
inference(constrained_superposition,[],[f27672,f26888]) ).
thf(f27713,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_174
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f27708]) ).
thf(f27715,plain,
( $false
| ~ spl0_96
| ~ spl0_174
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f27713,f3069]) ).
thf(f27716,plain,
( ~ spl0_96
| ~ spl0_174
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f27715]) ).
thf(f27719,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_233 ),
inference(constrained_superposition,[],[f13979,f27]) ).
thf(f27722,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_233 ),
inference(trivial_inequality_removal,[],[f27719]) ).
thf(f27724,plain,
( spl0_126
| spl0_238
| spl0_233 ),
inference(avatar_split_clause,[],[f27722,f13978,f14024,f4081]) ).
thf(f27725,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_238 ),
inference(constrained_superposition,[],[f26,f14025]) ).
thf(f27726,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f27725]) ).
thf(f27773,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_238
| ~ spl0_294 ),
inference(constrained_superposition,[],[f27726,f26888]) ).
thf(f27779,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_238
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f27773]) ).
thf(f27782,plain,
( ~ spl0_89
| ~ spl0_238
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f27779,f26887,f14024,f3044]) ).
thf(f27785,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_14 ),
inference(constrained_superposition,[],[f188,f27]) ).
thf(f27786,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_14 ),
inference(trivial_inequality_removal,[],[f27785]) ).
thf(f27789,plain,
( spl0_15
| spl0_16
| spl0_14 ),
inference(avatar_split_clause,[],[f27786,f187,f211,f208]) ).
thf(f27842,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_96
| ~ spl0_130 ),
inference(constrained_superposition,[],[f26958,f4360]) ).
thf(f27847,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_96
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f27842]) ).
thf(f27856,plain,
( ~ spl0_52
| ~ spl0_96
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f27847,f4359,f3068,f2058]) ).
thf(f27875,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_239 ),
inference(constrained_superposition,[],[f26,f14079]) ).
thf(f27876,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f27875]) ).
thf(f27930,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f1952,f13243]) ).
thf(f27931,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f157,f13243]) ).
thf(f27932,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f68,f13243]) ).
thf(f27946,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f27930]) ).
thf(f27958,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f27932]) ).
thf(f27959,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f27931]) ).
thf(f27964,plain,
( ~ spl0_88
| spl0_265
| spl0_202
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f27958,f13242,f13362,f17012,f3041]) ).
thf(f27965,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_189
| spl0_207 ),
inference(forward_subsumption_resolution,[],[f27959,f19827]) ).
thf(f27966,plain,
( spl0_202
| ~ spl0_95
| ~ spl0_189
| spl0_207 ),
inference(avatar_split_clause,[],[f27965,f13382,f13242,f3065,f13362]) ).
thf(f27974,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_239
| ~ spl0_294 ),
inference(constrained_superposition,[],[f27876,f26888]) ).
thf(f27978,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_239
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f27974]) ).
thf(f27983,plain,
( $false
| ~ spl0_86
| ~ spl0_239
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f27978,f3035]) ).
thf(f27984,plain,
( ~ spl0_86
| ~ spl0_239
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f27983]) ).
thf(f27985,plain,
( spl0_201
| ~ spl0_87
| spl0_202
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f27946,f13242,f13362,f3037,f13359]) ).
thf(f28029,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f3022,f56]) ).
thf(f28030,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f3022,f35]) ).
thf(f28031,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f28029]) ).
thf(f28033,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f28030]) ).
thf(f28247,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_74
| ~ spl0_293 ),
inference(constrained_superposition,[],[f26250,f26883]) ).
thf(f28253,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_74
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f28247]) ).
thf(f28256,plain,
( $false
| ~ spl0_74
| ~ spl0_241
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f28253,f14239]) ).
thf(f28257,plain,
( ~ spl0_74
| ~ spl0_241
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f28256]) ).
thf(f28258,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f1952,f27055]) ).
thf(f28259,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f157,f27055]) ).
thf(f28260,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f68,f27055]) ).
thf(f28264,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f2555,f27055]) ).
thf(f28266,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f126,f27055]) ).
thf(f28267,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f1626,f27055]) ).
thf(f28268,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f49,f27055]) ).
thf(f28278,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f28264]) ).
thf(f28280,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f28260]) ).
thf(f28281,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f28268]) ).
thf(f28283,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f28258]) ).
thf(f28284,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f28267]) ).
thf(f28285,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f28259]) ).
thf(f28288,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f28266]) ).
thf(f28291,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| spl0_84
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f28278,f18454]) ).
thf(f28292,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| spl0_266
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f28280,f23666]) ).
thf(f28293,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_230
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f28283,f19500]) ).
thf(f28294,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_172
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f28285,f16224]) ).
thf(f28296,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_102
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f28288,f5449]) ).
thf(f28297,plain,
( ~ spl0_227
| spl0_225
| spl0_84
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f28291,f25771,f3027,f13947,f13953]) ).
thf(f28298,plain,
( ~ spl0_88
| spl0_287
| spl0_266
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f28292,f25771,f17277,f25966,f3041]) ).
thf(f28299,plain,
( spl0_287
| ~ spl0_87
| spl0_230
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f28293,f25771,f13966,f3037,f25966]) ).
thf(f28300,plain,
( ~ spl0_95
| spl0_287
| spl0_172
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f28294,f25771,f6679,f25966,f3065]) ).
thf(f28301,plain,
( ~ spl0_233
| spl0_234
| spl0_102
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f28296,f25771,f3406,f13981,f13978]) ).
thf(f28309,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_234 ),
inference(constrained_superposition,[],[f13982,f1544]) ).
thf(f28310,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_234 ),
inference(constrained_superposition,[],[f13982,f141]) ).
thf(f28317,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f28309]) ).
thf(f28320,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f28310]) ).
thf(f28327,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_225 ),
inference(constrained_superposition,[],[f13948,f56]) ).
thf(f28328,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_225 ),
inference(constrained_superposition,[],[f13948,f35]) ).
thf(f28330,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f28328]) ).
thf(f28336,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f28327]) ).
thf(f28341,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f25967,f1544]) ).
thf(f28343,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f25967,f56]) ).
thf(f28344,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f25967,f35]) ).
thf(f28348,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f28341]) ).
thf(f28349,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f28344]) ).
thf(f28352,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f28343]) ).
thf(f28380,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_293 ),
inference(constrained_superposition,[],[f27591,f2959]) ).
thf(f28382,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_130
| ~ spl0_293 ),
inference(constrained_superposition,[],[f27591,f4360]) ).
thf(f28383,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_137
| ~ spl0_293 ),
inference(constrained_superposition,[],[f27591,f4460]) ).
thf(f28385,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_74
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f28380]) ).
thf(f28388,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_137
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f28383]) ).
thf(f28389,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_130
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f28382]) ).
thf(f28390,plain,
( $false
| ~ spl0_74
| ~ spl0_283
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f28385,f23806]) ).
thf(f28391,plain,
( ~ spl0_74
| ~ spl0_283
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f28390]) ).
thf(f28392,plain,
( $false
| ~ spl0_137
| ~ spl0_238
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f28388,f14025]) ).
thf(f28393,plain,
( ~ spl0_137
| ~ spl0_238
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f28392]) ).
thf(f28394,plain,
( $false
| ~ spl0_130
| ~ spl0_239
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f28389,f14079]) ).
thf(f28395,plain,
( ~ spl0_130
| ~ spl0_239
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f28394]) ).
thf(f28396,plain,
( spl0_260
| ~ spl0_259
| spl0_76
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f28281,f25771,f3000,f15783,f15786]) ).
thf(f28399,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f28284,f29]) ).
thf(f28400,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f27374,f29]) ).
thf(f28401,plain,
( spl0_85
| spl0_96
| ~ spl0_95
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f27370,f2948,f3065,f3068,f3031]) ).
thf(f28402,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f27517,f29]) ).
thf(f28403,plain,
( spl0_202
| ~ spl0_231
| spl0_106
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f27506,f13250,f3432,f13970,f13362]) ).
thf(f28404,plain,
( ~ spl0_91
| spl0_90
| spl0_76
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f27375,f2948,f3000,f3048,f3051]) ).
thf(f28405,plain,
( ~ spl0_61
| spl0_224
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f28330,f13947,f13907,f2309]) ).
thf(f28406,plain,
( ~ spl0_147
| spl0_168
| spl0_204
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f27520,f13250,f13371,f6473,f5301]) ).
thf(f28407,plain,
( spl0_52
| spl0_183
| ~ spl0_44
| ~ spl0_20
| spl0_53 ),
inference(avatar_split_clause,[],[f26868,f2062,f253,f1986,f10451,f2058]) ).
thf(f28408,plain,
( spl0_238
| ~ spl0_163
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f28352,f25966,f6092,f14024]) ).
thf(f28409,plain,
( spl0_226
| spl0_143
| ~ spl0_142
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f27519,f13250,f4527,f4530,f13950]) ).
thf(f28411,plain,
( ~ spl0_56
| spl0_239
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f28317,f13981,f14078,f2173]) ).
thf(f28412,plain,
( ~ spl0_163
| spl0_162
| spl0_232
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f27510,f13250,f13975,f6089,f6092]) ).
thf(f28417,plain,
( spl0_239
| ~ spl0_142
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f28348,f25966,f4527,f14078]) ).
thf(f28418,plain,
( spl0_174
| ~ spl0_14
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f28320,f13981,f187,f6686]) ).
thf(f28419,plain,
( spl0_79
| ~ spl0_61
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f28033,f3021,f2309,f3010]) ).
thf(f28420,plain,
( ~ spl0_136
| spl0_102
| spl0_135
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f27382,f2948,f4431,f3406,f4434]) ).
thf(f28424,plain,
( spl0_85
| spl0_105
| ~ spl0_133
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f27386,f2948,f4420,f3429,f3031]) ).
thf(f28425,plain,
( ~ spl0_58
| spl0_137
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f28031,f3021,f4459,f2299]) ).
thf(f28426,plain,
( spl0_238
| ~ spl0_58
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f28336,f13947,f2299,f14024]) ).
thf(f28427,plain,
( spl0_224
| ~ spl0_147
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f28349,f25966,f5301,f13907]) ).
thf(f28429,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_223
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f28399,f13883]) ).
thf(f28430,plain,
( ~ spl0_91
| spl0_106
| spl0_105
| spl0_76
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f28400,f2948,f3000,f3429,f3432,f3051]) ).
thf(f28431,plain,
( spl0_208
| spl0_106
| spl0_204
| ~ spl0_147
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f28402,f13250,f5301,f13371,f3432,f13387]) ).
thf(f28432,plain,
( spl0_106
| spl0_76
| ~ spl0_259
| spl0_223
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f28429,f25771,f13882,f15783,f3000,f3432]) ).
thf(f28439,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f26,f171]) ).
thf(f28440,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f28439]) ).
thf(f28474,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_45 ),
inference(constrained_superposition,[],[f1991,f27]) ).
thf(f28477,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_45 ),
inference(trivial_inequality_removal,[],[f28474]) ).
thf(f28480,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_45
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f28477,f26841]) ).
thf(f28482,plain,
( spl0_52
| spl0_45
| spl0_53 ),
inference(avatar_split_clause,[],[f28480,f2062,f1990,f2058]) ).
thf(f28503,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_9
| ~ spl0_52 ),
inference(constrained_superposition,[],[f28440,f2059]) ).
thf(f28507,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_9
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f28503]) ).
thf(f28542,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_238
| ~ spl0_283 ),
inference(constrained_superposition,[],[f27126,f14025]) ).
thf(f28544,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_238
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f28542]) ).
thf(f28546,plain,
( $false
| ~ spl0_102
| ~ spl0_238
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f28544,f3407]) ).
thf(f28547,plain,
( ~ spl0_102
| ~ spl0_238
| ~ spl0_283 ),
inference(avatar_contradiction_clause,[],[f28546]) ).
thf(f28654,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f42,f26946]) ).
thf(f28658,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f1626,f26946]) ).
thf(f28659,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f49,f26946]) ).
thf(f28676,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f28658]) ).
thf(f28677,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f28654]) ).
thf(f28678,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f28659]) ).
thf(f28687,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_106
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f28676,f14576]) ).
thf(f28688,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| spl0_106
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f28677,f14576]) ).
thf(f28689,plain,
( spl0_168
| ~ spl0_147
| spl0_224
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f28678,f25825,f13907,f5301,f6473]) ).
thf(f28691,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_106
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f28687,f29]) ).
thf(f28692,plain,
( spl0_287
| ~ spl0_288
| spl0_106
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f28688,f25825,f3432,f26030,f25966]) ).
thf(f28693,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_106
| spl0_223
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f28691,f13883]) ).
thf(f28694,plain,
( ~ spl0_147
| spl0_224
| spl0_106
| spl0_223
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f28693,f25825,f13882,f3432,f13907,f5301]) ).
thf(f28695,plain,
( spl0_84
| spl0_82
| ~ spl0_83
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f27372,f2948,f3024,f3021,f3027]) ).
thf(f28731,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_224 ),
inference(constrained_superposition,[],[f26,f13908]) ).
thf(f28732,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f28731]) ).
thf(f28766,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_102
| ~ spl0_281 ),
inference(constrained_superposition,[],[f22945,f3407]) ).
thf(f28772,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_102
| ~ spl0_281 ),
inference(trivial_inequality_removal,[],[f28766]) ).
thf(f28774,plain,
( $false
| ~ spl0_23
| ~ spl0_102
| ~ spl0_281 ),
inference(forward_subsumption_resolution,[],[f28772,f280]) ).
thf(f28775,plain,
( ~ spl0_23
| ~ spl0_102
| ~ spl0_281 ),
inference(avatar_contradiction_clause,[],[f28774]) ).
thf(f28779,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f26,f1966]) ).
thf(f28780,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f28779]) ).
thf(f28841,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_57
| ~ spl0_180 ),
inference(constrained_superposition,[],[f5059,f10255]) ).
thf(f28842,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_180
| spl0_266 ),
inference(constrained_superposition,[],[f23666,f10255]) ).
thf(f28843,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_89
| ~ spl0_180 ),
inference(constrained_superposition,[],[f3402,f10255]) ).
thf(f28847,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_89
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f28843]) ).
thf(f28849,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_57
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f28841]) ).
thf(f28850,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_180
| spl0_266 ),
inference(trivial_inequality_removal,[],[f28842]) ).
thf(f28851,plain,
( spl0_105
| spl0_89
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f28847,f10254,f3044,f3429]) ).
thf(f28852,plain,
( $false
| ~ spl0_9
| ~ spl0_52
| spl0_57
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f28849,f28507]) ).
thf(f28853,plain,
( ~ spl0_9
| ~ spl0_52
| spl0_57
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f28852]) ).
thf(f28854,plain,
( $false
| ~ spl0_180
| spl0_223
| spl0_266 ),
inference(forward_subsumption_resolution,[],[f28850,f13883]) ).
thf(f28855,plain,
( ~ spl0_180
| spl0_223
| spl0_266 ),
inference(avatar_contradiction_clause,[],[f28854]) ).
thf(f28872,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f26,f2187]) ).
thf(f28873,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f28872]) ).
thf(f28891,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f26,f3538]) ).
thf(f28893,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f28891]) ).
thf(f28896,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_254 ),
inference(constrained_superposition,[],[f15109,f27]) ).
thf(f28897,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_254 ),
inference(trivial_inequality_removal,[],[f28896]) ).
thf(f28900,plain,
( spl0_266
| spl0_126
| spl0_254 ),
inference(avatar_split_clause,[],[f28897,f15108,f4081,f17277]) ).
thf(f28910,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_227 ),
inference(constrained_superposition,[],[f13954,f27]) ).
thf(f28914,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_227 ),
inference(trivial_inequality_removal,[],[f28910]) ).
thf(f28918,plain,
( spl0_239
| spl0_240
| spl0_227 ),
inference(avatar_split_clause,[],[f28914,f13953,f14081,f14078]) ).
thf(f28920,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_38
| ~ spl0_230 ),
inference(constrained_superposition,[],[f28780,f13967]) ).
thf(f28922,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_38
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f28920]) ).
thf(f28924,plain,
( $false
| ~ spl0_38
| ~ spl0_230
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f28922,f17278]) ).
thf(f28925,plain,
( ~ spl0_38
| ~ spl0_230
| ~ spl0_266 ),
inference(avatar_contradiction_clause,[],[f28924]) ).
thf(f28929,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_57
| ~ spl0_230 ),
inference(constrained_superposition,[],[f28873,f13967]) ).
thf(f28931,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_57
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f28929]) ).
thf(f28935,plain,
( ~ spl0_266
| ~ spl0_57
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f28931,f13966,f2186,f17277]) ).
thf(f29015,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_174
| ~ spl0_224 ),
inference(constrained_superposition,[],[f28732,f6687]) ).
thf(f29021,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_174
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f29015]) ).
thf(f29023,plain,
( $false
| ~ spl0_31
| ~ spl0_174
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f29021,f351]) ).
thf(f29024,plain,
( ~ spl0_31
| ~ spl0_174
| ~ spl0_224 ),
inference(avatar_contradiction_clause,[],[f29023]) ).
thf(f29042,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_45 ),
inference(constrained_superposition,[],[f1991,f36]) ).
thf(f29045,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_45 ),
inference(trivial_inequality_removal,[],[f29042]) ).
thf(f29049,plain,
( spl0_16
| spl0_52
| spl0_45 ),
inference(avatar_split_clause,[],[f29045,f1990,f2058,f211]) ).
thf(f29128,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_285 ),
inference(constrained_superposition,[],[f25772,f138]) ).
thf(f29130,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_285 ),
inference(constrained_superposition,[],[f25772,f36]) ).
thf(f29132,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_285 ),
inference(trivial_inequality_removal,[],[f29128]) ).
thf(f29135,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_285 ),
inference(trivial_inequality_removal,[],[f29130]) ).
thf(f29136,plain,
( spl0_16
| spl0_241
| spl0_285 ),
inference(avatar_split_clause,[],[f29132,f25771,f14238,f211]) ).
thf(f29139,plain,
( spl0_241
| spl0_113
| spl0_285 ),
inference(avatar_split_clause,[],[f29135,f25771,f3559,f14238]) ).
thf(f29140,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_286 ),
inference(constrained_superposition,[],[f25826,f138]) ).
thf(f29142,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_286 ),
inference(constrained_superposition,[],[f25826,f36]) ).
thf(f29144,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f29140]) ).
thf(f29147,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f29142]) ).
thf(f29148,plain,
( spl0_283
| spl0_16
| spl0_286 ),
inference(avatar_split_clause,[],[f29144,f25825,f211,f23805]) ).
thf(f29151,plain,
( spl0_113
| spl0_283
| spl0_286 ),
inference(avatar_split_clause,[],[f29147,f25825,f23805,f3559]) ).
thf(f29161,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_111 ),
inference(constrained_superposition,[],[f28893,f3001]) ).
thf(f29164,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_76
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f29161]) ).
thf(f29166,plain,
( $false
| ~ spl0_9
| ~ spl0_76
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f29164,f171]) ).
thf(f29167,plain,
( ~ spl0_9
| ~ spl0_76
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f29166]) ).
thf(f29232,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f26,f6687]) ).
thf(f29233,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f29232]) ).
thf(f29261,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_83 ),
inference(constrained_superposition,[],[f3025,f36]) ).
thf(f29264,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_83 ),
inference(trivial_inequality_removal,[],[f29261]) ).
thf(f29269,plain,
( spl0_130
| spl0_131
| spl0_83 ),
inference(avatar_split_clause,[],[f29264,f3024,f4365,f4359]) ).
thf(f29303,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f68,f2949]) ).
thf(f29322,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f29303]) ).
thf(f29333,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_71
| spl0_89 ),
inference(forward_subsumption_resolution,[],[f29322,f3402]) ).
thf(f29335,plain,
( spl0_85
| ~ spl0_88
| ~ spl0_71
| spl0_89 ),
inference(avatar_split_clause,[],[f29333,f3044,f2948,f3041,f3031]) ).
thf(f29358,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f6674,f56]) ).
thf(f29364,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f29358]) ).
thf(f29368,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_170
| spl0_238 ),
inference(forward_subsumption_resolution,[],[f29364,f20181]) ).
thf(f29369,plain,
( ~ spl0_17
| ~ spl0_170
| spl0_238 ),
inference(avatar_split_clause,[],[f29368,f14024,f6673,f243]) ).
thf(f29379,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_174
| ~ spl0_283 ),
inference(constrained_superposition,[],[f29233,f23806]) ).
thf(f29381,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_174
| ~ spl0_224 ),
inference(constrained_superposition,[],[f29233,f13908]) ).
thf(f29383,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_174
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f29381]) ).
thf(f29387,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_174
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f29379]) ).
thf(f29388,plain,
( $false
| ~ spl0_9
| ~ spl0_174
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f29383,f171]) ).
thf(f29389,plain,
( ~ spl0_9
| ~ spl0_174
| ~ spl0_224 ),
inference(avatar_contradiction_clause,[],[f29388]) ).
thf(f29390,plain,
( $false
| ~ spl0_111
| ~ spl0_174
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f29387,f3538]) ).
thf(f29391,plain,
( ~ spl0_111
| ~ spl0_174
| ~ spl0_283 ),
inference(avatar_contradiction_clause,[],[f29390]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f77]) ).
cnf(s4,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f117]) ).
cnf(s10,plain,
( spl0_14
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f213]) ).
cnf(s17,plain,
( spl0_7
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f268]) ).
cnf(s19,plain,
( spl0_9
| spl0_20 ),
inference(sat_conversion,[],[f270]) ).
cnf(s21,plain,
( ~ spl0_4
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f277]) ).
cnf(s23,plain,
( spl0_4
| spl0_23 ),
inference(sat_conversion,[],[f290]) ).
cnf(s25,plain,
( ~ spl0_17
| spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f320]) ).
cnf(s27,plain,
( ~ spl0_20
| spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f331]) ).
cnf(s28,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_15 ),
inference(sat_conversion,[],[f345]) ).
cnf(s30,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_23 ),
inference(sat_conversion,[],[f372]) ).
cnf(s31,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f378]) ).
cnf(s32,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_15 ),
inference(sat_conversion,[],[f394]) ).
cnf(s33,plain,
( ~ spl0_11
| spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f437]) ).
cnf(s34,plain,
( spl0_11
| spl0_31 ),
inference(sat_conversion,[],[f447]) ).
cnf(s41,plain,
( ~ spl0_15
| ~ spl0_21
| ~ spl0_29
| spl0_33 ),
inference(sat_conversion,[],[f571]) ).
cnf(s45,plain,
( spl0_15
| spl0_16
| ~ spl0_21
| spl0_31 ),
inference(sat_conversion,[],[f584]) ).
cnf(s47,plain,
( spl0_1
| spl0_9
| ~ spl0_25 ),
inference(sat_conversion,[],[f587]) ).
cnf(s48,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_21
| spl0_31 ),
inference(sat_conversion,[],[f593]) ).
cnf(s49,plain,
( ~ spl0_15
| ~ spl0_23
| ~ spl0_28
| spl0_32 ),
inference(sat_conversion,[],[f693]) ).
cnf(s52,plain,
( ~ spl0_15
| ~ spl0_23
| ~ spl0_31 ),
inference(sat_conversion,[],[f703]) ).
cnf(s56,plain,
( ~ spl0_6
| spl0_23
| spl0_36 ),
inference(sat_conversion,[],[f1655]) ).
cnf(s57,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_37 ),
inference(sat_conversion,[],[f1695]) ).
cnf(s60,plain,
( spl0_42
| spl0_43
| ~ spl0_44 ),
inference(sat_conversion,[],[f1988]) ).
cnf(s65,plain,
( spl0_44
| spl0_50 ),
inference(sat_conversion,[],[f2032]) ).
cnf(s67,plain,
( spl0_16
| spl0_45
| spl0_52 ),
inference(sat_conversion,[],[f2060]) ).
cnf(s75,plain,
( ~ spl0_15
| ~ spl0_21
| ~ spl0_48
| spl0_50
| spl0_54 ),
inference(sat_conversion,[],[f2165]) ).
cnf(s82,plain,
( ~ spl0_14
| spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f2176]) ).
cnf(s83,plain,
( spl0_54
| spl0_56
| spl0_57 ),
inference(sat_conversion,[],[f2188]) ).
cnf(s87,plain,
( ~ spl0_15
| ~ spl0_52
| ~ spl0_57 ),
inference(sat_conversion,[],[f2235]) ).
cnf(s88,plain,
( ~ spl0_9
| ~ spl0_50
| ~ spl0_52 ),
inference(sat_conversion,[],[f2237]) ).
cnf(s89,plain,
( ~ spl0_31
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f2249]) ).
cnf(s90,plain,
( ~ spl0_15
| ~ spl0_37
| spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f2251]) ).
cnf(s94,plain,
( spl0_40
| spl0_61 ),
inference(sat_conversion,[],[f2324]) ).
cnf(s96,plain,
( spl0_48
| spl0_53
| spl0_62 ),
inference(sat_conversion,[],[f2347]) ).
cnf(s98,plain,
( spl0_16
| spl0_48
| spl0_62 ),
inference(sat_conversion,[],[f2350]) ).
cnf(s102,plain,
( ~ spl0_62
| spl0_66
| spl0_67 ),
inference(sat_conversion,[],[f2578]) ).
cnf(s103,plain,
( ~ spl0_44
| spl0_68
| spl0_69 ),
inference(sat_conversion,[],[f2611]) ).
cnf(s104,plain,
( ~ spl0_45
| spl0_66
| spl0_67 ),
inference(sat_conversion,[],[f2612]) ).
cnf(s106,plain,
( spl0_54
| spl0_71
| spl0_72 ),
inference(sat_conversion,[],[f2953]) ).
cnf(s107,plain,
( spl0_54
| spl0_73
| spl0_74 ),
inference(sat_conversion,[],[f2960]) ).
cnf(s108,plain,
( ~ spl0_2
| ~ spl0_71
| ~ spl0_75
| spl0_76
| spl0_77 ),
inference(sat_conversion,[],[f3005]) ).
cnf(s138,plain,
~ spl0_54,
inference(sat_conversion,[],[f3328]) ).
cnf(s150,plain,
( ~ spl0_26
| ~ spl0_72
| ~ spl0_96
| spl0_102 ),
inference(sat_conversion,[],[f3409]) ).
cnf(s151,plain,
( ~ spl0_6
| spl0_38
| spl0_54
| spl0_103 ),
inference(sat_conversion,[],[f3420]) ).
cnf(s153,plain,
( spl0_38
| spl0_58 ),
inference(sat_conversion,[],[f3440]) ).
cnf(s155,plain,
( ~ spl0_21
| ~ spl0_72
| ~ spl0_89
| spl0_106 ),
inference(sat_conversion,[],[f3444]) ).
cnf(s156,plain,
( ~ spl0_4
| spl0_38
| ~ spl0_68 ),
inference(sat_conversion,[],[f3445]) ).
cnf(s157,plain,
( spl0_38
| spl0_54
| spl0_58 ),
inference(sat_conversion,[],[f3447]) ).
cnf(s162,plain,
( ~ spl0_26
| ~ spl0_31
| spl0_38
| ~ spl0_50 ),
inference(sat_conversion,[],[f3457]) ).
cnf(s166,plain,
( ~ spl0_9
| ~ spl0_26
| spl0_38
| ~ spl0_40 ),
inference(sat_conversion,[],[f3462]) ).
cnf(s172,plain,
( ~ spl0_21
| ~ spl0_72
| spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(sat_conversion,[],[f3471]) ).
cnf(s173,plain,
( spl0_43
| ~ spl0_68 ),
inference(sat_conversion,[],[f3472]) ).
cnf(s176,plain,
( spl0_77
| spl0_88 ),
inference(sat_conversion,[],[f3495]) ).
cnf(s178,plain,
( spl0_75
| spl0_105 ),
inference(sat_conversion,[],[f3509]) ).
cnf(s180,plain,
( spl0_79
| spl0_91 ),
inference(sat_conversion,[],[f3514]) ).
cnf(s184,plain,
( spl0_54
| spl0_95
| spl0_111 ),
inference(sat_conversion,[],[f3541]) ).
cnf(s211,plain,
~ spl0_107,
inference(sat_conversion,[],[f3819]) ).
cnf(s220,plain,
( ~ spl0_50
| ~ spl0_106
| ~ spl0_112 ),
inference(sat_conversion,[],[f3877]) ).
cnf(s226,plain,
( ~ spl0_21
| spl0_50
| ~ spl0_77
| ~ spl0_112 ),
inference(sat_conversion,[],[f3916]) ).
cnf(s234,plain,
( ~ spl0_21
| spl0_50
| spl0_54
| ~ spl0_68
| spl0_121 ),
inference(sat_conversion,[],[f3938]) ).
cnf(s248,plain,
( ~ spl0_21
| spl0_50
| spl0_54
| spl0_104
| spl0_106
| ~ spl0_112 ),
inference(sat_conversion,[],[f3973]) ).
cnf(s249,plain,
( ~ spl0_38
| ~ spl0_68
| spl0_118 ),
inference(sat_conversion,[],[f4017]) ).
cnf(s250,plain,
( ~ spl0_38
| ~ spl0_77
| ~ spl0_112 ),
inference(sat_conversion,[],[f4019]) ).
cnf(s251,plain,
( ~ spl0_58
| spl0_123
| spl0_124 ),
inference(sat_conversion,[],[f4026]) ).
cnf(s252,plain,
( ~ spl0_57
| ~ spl0_77
| ~ spl0_112 ),
inference(sat_conversion,[],[f4065]) ).
cnf(s254,plain,
( ~ spl0_56
| spl0_123
| spl0_124 ),
inference(sat_conversion,[],[f4070]) ).
cnf(s258,plain,
( ~ spl0_9
| ~ spl0_96
| ~ spl0_105 ),
inference(sat_conversion,[],[f4127]) ).
cnf(s262,plain,
( ~ spl0_21
| spl0_89
| spl0_105
| spl0_107 ),
inference(sat_conversion,[],[f4132]) ).
cnf(s263,plain,
( ~ spl0_15
| ~ spl0_89
| ~ spl0_96 ),
inference(sat_conversion,[],[f4133]) ).
cnf(s270,plain,
~ spl0_128,
inference(sat_conversion,[],[f4301]) ).
cnf(s274,plain,
( ~ spl0_15
| ~ spl0_21
| spl0_105
| ~ spl0_127 ),
inference(sat_conversion,[],[f4343]) ).
cnf(s276,plain,
( spl0_83
| spl0_104
| spl0_130 ),
inference(sat_conversion,[],[f4361]) ).
cnf(s291,plain,
( spl0_106
| spl0_133 ),
inference(sat_conversion,[],[f4448]) ).
cnf(s295,plain,
( spl0_136
| spl0_137 ),
inference(sat_conversion,[],[f4463]) ).
cnf(s306,plain,
( spl0_54
| spl0_93
| spl0_99 ),
inference(sat_conversion,[],[f4557]) ).
cnf(s310,plain,
( spl0_16
| spl0_84
| spl0_142 ),
inference(sat_conversion,[],[f4572]) ).
cnf(s312,plain,
( ~ spl0_71
| ~ spl0_98
| ~ spl0_138 ),
inference(sat_conversion,[],[f4591]) ).
cnf(s313,plain,
( ~ spl0_45
| spl0_84
| ~ spl0_98 ),
inference(sat_conversion,[],[f4592]) ).
cnf(s314,plain,
( ~ spl0_50
| ~ spl0_84
| ~ spl0_106 ),
inference(sat_conversion,[],[f4629]) ).
cnf(s319,plain,
( ~ spl0_15
| ~ spl0_77
| ~ spl0_93 ),
inference(sat_conversion,[],[f4682]) ).
cnf(s320,plain,
( ~ spl0_31
| ~ spl0_93
| ~ spl0_106 ),
inference(sat_conversion,[],[f4684]) ).
cnf(s321,plain,
( spl0_96
| spl0_138 ),
inference(sat_conversion,[],[f4695]) ).
cnf(s324,plain,
( spl0_96
| spl0_126
| spl0_138 ),
inference(sat_conversion,[],[f4701]) ).
cnf(s325,plain,
( ~ spl0_74
| ~ spl0_79
| ~ spl0_106 ),
inference(sat_conversion,[],[f4736]) ).
cnf(s327,plain,
( ~ spl0_21
| ~ spl0_74
| ~ spl0_77
| spl0_105 ),
inference(sat_conversion,[],[f4739]) ).
cnf(s329,plain,
( ~ spl0_37
| ~ spl0_74
| ~ spl0_77
| spl0_79 ),
inference(sat_conversion,[],[f4741]) ).
cnf(s347,plain,
~ spl0_104,
inference(sat_conversion,[],[f4962]) ).
cnf(s355,plain,
( ~ spl0_62
| spl0_93
| ~ spl0_143 ),
inference(sat_conversion,[],[f4999]) ).
cnf(s356,plain,
( ~ spl0_58
| spl0_102
| ~ spl0_143 ),
inference(sat_conversion,[],[f5000]) ).
cnf(s357,plain,
( ~ spl0_71
| ~ spl0_143
| ~ spl0_144 ),
inference(sat_conversion,[],[f5001]) ).
cnf(s358,plain,
( ~ spl0_45
| ~ spl0_92
| spl0_130 ),
inference(sat_conversion,[],[f5026]) ).
cnf(s359,plain,
( ~ spl0_21
| ~ spl0_57
| spl0_105
| ~ spl0_130 ),
inference(sat_conversion,[],[f5060]) ).
cnf(s360,plain,
( ~ spl0_57
| ~ spl0_89
| ~ spl0_130 ),
inference(sat_conversion,[],[f5061]) ).
cnf(s361,plain,
( ~ spl0_37
| ~ spl0_57
| spl0_79
| ~ spl0_130 ),
inference(sat_conversion,[],[f5062]) ).
cnf(s362,plain,
( ~ spl0_62
| ~ spl0_82
| spl0_127 ),
inference(sat_conversion,[],[f5094]) ).
cnf(s363,plain,
( ~ spl0_36
| ~ spl0_38
| spl0_79
| spl0_105
| ~ spl0_130 ),
inference(sat_conversion,[],[f5116]) ).
cnf(s364,plain,
( ~ spl0_38
| ~ spl0_130
| ~ spl0_137 ),
inference(sat_conversion,[],[f5117]) ).
cnf(s367,plain,
~ spl0_113,
inference(sat_conversion,[],[f5281]) ).
cnf(s377,plain,
( ~ spl0_9
| ~ spl0_106
| ~ spl0_111 ),
inference(sat_conversion,[],[f5352]) ).
cnf(s379,plain,
( ~ spl0_20
| spl0_79
| ~ spl0_92 ),
inference(sat_conversion,[],[f5357]) ).
cnf(s380,plain,
( ~ spl0_31
| ~ spl0_106
| ~ spl0_111 ),
inference(sat_conversion,[],[f5367]) ).
cnf(s386,plain,
( ~ spl0_33
| ~ spl0_72
| spl0_79
| ~ spl0_106 ),
inference(sat_conversion,[],[f5507]) ).
cnf(s387,plain,
( spl0_9
| ~ spl0_28
| ~ spl0_37
| spl0_151 ),
inference(sat_conversion,[],[f5580]) ).
cnf(s388,plain,
( ~ spl0_28
| ~ spl0_72
| spl0_96
| ~ spl0_106
| spl0_128 ),
inference(sat_conversion,[],[f5582]) ).
cnf(s389,plain,
( ~ spl0_11
| spl0_152
| spl0_153 ),
inference(sat_conversion,[],[f5589]) ).
cnf(s402,plain,
( ~ spl0_40
| ~ spl0_79
| ~ spl0_130 ),
inference(sat_conversion,[],[f5672]) ).
cnf(s403,plain,
( ~ spl0_72
| ~ spl0_89
| ~ spl0_102 ),
inference(sat_conversion,[],[f5770]) ).
cnf(s404,plain,
( ~ spl0_15
| ~ spl0_93
| ~ spl0_102 ),
inference(sat_conversion,[],[f5772]) ).
cnf(s407,plain,
( ~ spl0_21
| spl0_50
| spl0_54
| spl0_57 ),
inference(sat_conversion,[],[f5793]) ).
cnf(s420,plain,
( spl0_16
| ~ spl0_21
| spl0_50
| ~ spl0_52
| spl0_54
| ~ spl0_93
| ~ spl0_106 ),
inference(sat_conversion,[],[f5819]) ).
cnf(s427,plain,
( ~ spl0_40
| ~ spl0_76
| ~ spl0_84 ),
inference(sat_conversion,[],[f5968]) ).
cnf(s433,plain,
( ~ spl0_7
| ~ spl0_38
| ~ spl0_52 ),
inference(sat_conversion,[],[f6064]) ).
cnf(s436,plain,
( ~ spl0_36
| ~ spl0_38
| ~ spl0_52
| ~ spl0_76
| ~ spl0_93
| ~ spl0_106 ),
inference(sat_conversion,[],[f6077]) ).
cnf(s437,plain,
( ~ spl0_1
| ~ spl0_38
| ~ spl0_40 ),
inference(sat_conversion,[],[f6079]) ).
cnf(s439,plain,
( ~ spl0_1
| ~ spl0_79
| ~ spl0_89 ),
inference(sat_conversion,[],[f6084]) ).
cnf(s443,plain,
( ~ spl0_23
| ~ spl0_38
| ~ spl0_40 ),
inference(sat_conversion,[],[f6098]) ).
cnf(s444,plain,
( ~ spl0_2
| spl0_40
| spl0_57
| spl0_164 ),
inference(sat_conversion,[],[f6102]) ).
cnf(s445,plain,
( spl0_54
| spl0_57
| ~ spl0_61
| spl0_165 ),
inference(sat_conversion,[],[f6106]) ).
cnf(s446,plain,
( ~ spl0_61
| spl0_68
| spl0_69 ),
inference(sat_conversion,[],[f6107]) ).
cnf(s449,plain,
( spl0_102
| spl0_163 ),
inference(sat_conversion,[],[f6137]) ).
cnf(s450,plain,
( spl0_102
| spl0_104
| spl0_163 ),
inference(sat_conversion,[],[f6138]) ).
cnf(s451,plain,
( ~ spl0_33
| spl0_40
| ~ spl0_84 ),
inference(sat_conversion,[],[f6180]) ).
cnf(s452,plain,
( ~ spl0_4
| spl0_38
| spl0_54
| ~ spl0_61
| spl0_167 ),
inference(sat_conversion,[],[f6185]) ).
cnf(s453,plain,
( ~ spl0_37
| spl0_38
| spl0_40
| spl0_57 ),
inference(sat_conversion,[],[f6215]) ).
cnf(s454,plain,
( ~ spl0_37
| ~ spl0_72
| spl0_76
| ~ spl0_89 ),
inference(sat_conversion,[],[f6217]) ).
cnf(s455,plain,
( ~ spl0_72
| ~ spl0_105
| ~ spl0_106 ),
inference(sat_conversion,[],[f6219]) ).
cnf(s457,plain,
( ~ spl0_15
| ~ spl0_37
| spl0_76
| ~ spl0_93 ),
inference(sat_conversion,[],[f6222]) ).
cnf(s458,plain,
( ~ spl0_37
| spl0_76
| spl0_77
| spl0_102 ),
inference(sat_conversion,[],[f6223]) ).
cnf(s459,plain,
( ~ spl0_23
| ~ spl0_33
| ~ spl0_38 ),
inference(sat_conversion,[],[f6235]) ).
cnf(s464,plain,
( ~ spl0_23
| ~ spl0_38
| ~ spl0_50 ),
inference(sat_conversion,[],[f6324]) ).
cnf(s466,plain,
( ~ spl0_56
| spl0_84
| ~ spl0_162 ),
inference(sat_conversion,[],[f6413]) ).
cnf(s472,plain,
( ~ spl0_23
| ~ spl0_79
| ~ spl0_137 ),
inference(sat_conversion,[],[f6469]) ).
cnf(s473,plain,
( ~ spl0_50
| ~ spl0_79
| ~ spl0_130 ),
inference(sat_conversion,[],[f6471]) ).
cnf(s475,plain,
( ~ spl0_50
| ~ spl0_105
| ~ spl0_130 ),
inference(sat_conversion,[],[f6487]) ).
cnf(s476,plain,
( ~ spl0_23
| ~ spl0_105
| ~ spl0_137 ),
inference(sat_conversion,[],[f6489]) ).
cnf(s478,plain,
( ~ spl0_32
| spl0_53
| ~ spl0_57 ),
inference(sat_conversion,[],[f6522]) ).
cnf(s495,plain,
~ spl0_53,
inference(sat_conversion,[],[f6713]) ).
cnf(s497,plain,
( ~ spl0_71
| ~ spl0_159
| ~ spl0_162 ),
inference(sat_conversion,[],[f6817]) ).
cnf(s504,plain,
( spl0_89
| spl0_159 ),
inference(sat_conversion,[],[f6836]) ).
cnf(s505,plain,
( spl0_89
| spl0_107
| spl0_159 ),
inference(sat_conversion,[],[f6837]) ).
cnf(s506,plain,
( ~ spl0_73
| ~ spl0_88
| ~ spl0_135 ),
inference(sat_conversion,[],[f6865]) ).
cnf(s507,plain,
( ~ spl0_56
| spl0_130
| ~ spl0_135 ),
inference(sat_conversion,[],[f6866]) ).
cnf(s508,plain,
( ~ spl0_6
| spl0_79
| ~ spl0_135 ),
inference(sat_conversion,[],[f6867]) ).
cnf(s510,plain,
( ~ spl0_28
| spl0_152 ),
inference(sat_conversion,[],[f6899]) ).
cnf(s512,plain,
( ~ spl0_7
| ~ spl0_96
| ~ spl0_137 ),
inference(sat_conversion,[],[f6906]) ).
cnf(s516,plain,
( spl0_43
| ~ spl0_164 ),
inference(sat_conversion,[],[f6962]) ).
cnf(s525,plain,
( ~ spl0_15
| ~ spl0_127
| ~ spl0_137 ),
inference(sat_conversion,[],[f7068]) ).
cnf(s532,plain,
( spl0_53
| ~ spl0_57
| ~ spl0_84
| ~ spl0_106
| ~ spl0_151 ),
inference(sat_conversion,[],[f7167]) ).
cnf(s535,plain,
( spl0_76
| spl0_147 ),
inference(sat_conversion,[],[f7170]) ).
cnf(s537,plain,
( ~ spl0_1
| ~ spl0_40
| ~ spl0_57 ),
inference(sat_conversion,[],[f7187]) ).
cnf(s539,plain,
( ~ spl0_9
| ~ spl0_76
| ~ spl0_93 ),
inference(sat_conversion,[],[f7211]) ).
cnf(s542,plain,
( ~ spl0_40
| ~ spl0_106
| ~ spl0_112 ),
inference(sat_conversion,[],[f7267]) ).
cnf(s543,plain,
( ~ spl0_6
| spl0_9
| ~ spl0_25 ),
inference(sat_conversion,[],[f7268]) ).
cnf(s545,plain,
( ~ spl0_1
| ~ spl0_21
| ~ spl0_40
| spl0_50 ),
inference(sat_conversion,[],[f7270]) ).
cnf(s556,plain,
( ~ spl0_11
| ~ spl0_90
| spl0_127 ),
inference(sat_conversion,[],[f7454]) ).
cnf(s565,plain,
( ~ spl0_33
| ~ spl0_40
| spl0_79
| ~ spl0_86 ),
inference(sat_conversion,[],[f7698]) ).
cnf(s569,plain,
( ~ spl0_33
| ~ spl0_74
| ~ spl0_106 ),
inference(sat_conversion,[],[f7736]) ).
cnf(s573,plain,
( ~ spl0_15
| ~ spl0_38
| ~ spl0_48 ),
inference(sat_conversion,[],[f7779]) ).
cnf(s577,plain,
( spl0_86
| spl0_144 ),
inference(sat_conversion,[],[f7806]) ).
cnf(s579,plain,
( ~ spl0_33
| ~ spl0_50
| ~ spl0_130 ),
inference(sat_conversion,[],[f7840]) ).
cnf(s586,plain,
( ~ spl0_73
| ~ spl0_82
| ~ spl0_87 ),
inference(sat_conversion,[],[f7948]) ).
cnf(s591,plain,
( ~ spl0_32
| ~ spl0_89
| spl0_128 ),
inference(sat_conversion,[],[f8077]) ).
cnf(s592,plain,
( ~ spl0_85
| spl0_130
| ~ spl0_142 ),
inference(sat_conversion,[],[f8078]) ).
cnf(s594,plain,
( ~ spl0_73
| ~ spl0_87
| spl0_130
| spl0_143 ),
inference(sat_conversion,[],[f8082]) ).
cnf(s601,plain,
( ~ spl0_73
| spl0_130
| ~ spl0_142
| spl0_143 ),
inference(sat_conversion,[],[f8091]) ).
cnf(s602,plain,
( ~ spl0_73
| spl0_137
| spl0_162
| ~ spl0_163 ),
inference(sat_conversion,[],[f8092]) ).
cnf(s603,plain,
( ~ spl0_73
| ~ spl0_88
| spl0_137
| spl0_162 ),
inference(sat_conversion,[],[f8094]) ).
cnf(s604,plain,
( ~ spl0_73
| spl0_79
| ~ spl0_147
| spl0_168 ),
inference(sat_conversion,[],[f8099]) ).
cnf(s605,plain,
( ~ spl0_73
| ~ spl0_95
| spl0_98
| spl0_127 ),
inference(sat_conversion,[],[f8101]) ).
cnf(s609,plain,
( spl0_79
| ~ spl0_85
| ~ spl0_147 ),
inference(sat_conversion,[],[f8106]) ).
cnf(s623,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_31 ),
inference(sat_conversion,[],[f8162]) ).
cnf(s631,plain,
( ~ spl0_57
| ~ spl0_77
| ~ spl0_84 ),
inference(sat_conversion,[],[f8341]) ).
cnf(s637,plain,
( ~ spl0_4
| ~ spl0_90
| spl0_137 ),
inference(sat_conversion,[],[f8404]) ).
cnf(s638,plain,
( ~ spl0_31
| ~ spl0_79
| ~ spl0_127 ),
inference(sat_conversion,[],[f8418]) ).
cnf(s639,plain,
( ~ spl0_73
| ~ spl0_92
| ~ spl0_95 ),
inference(sat_conversion,[],[f8449]) ).
cnf(s644,plain,
( ~ spl0_15
| ~ spl0_77
| ~ spl0_111 ),
inference(sat_conversion,[],[f8492]) ).
cnf(s650,plain,
( ~ spl0_1
| ~ spl0_76
| ~ spl0_77 ),
inference(sat_conversion,[],[f8603]) ).
cnf(s663,plain,
( ~ spl0_33
| ~ spl0_106
| ~ spl0_112 ),
inference(sat_conversion,[],[f8795]) ).
cnf(s666,plain,
( ~ spl0_38
| ~ spl0_86
| ~ spl0_89 ),
inference(sat_conversion,[],[f8876]) ).
cnf(s686,plain,
( ~ spl0_21
| spl0_77
| spl0_104
| spl0_106 ),
inference(sat_conversion,[],[f8928]) ).
cnf(s690,plain,
( ~ spl0_15
| ~ spl0_21
| ~ spl0_93
| spl0_104
| spl0_106 ),
inference(sat_conversion,[],[f8931]) ).
cnf(s699,plain,
( spl0_16
| ~ spl0_21
| spl0_31
| spl0_104
| spl0_106
| ~ spl0_111 ),
inference(sat_conversion,[],[f8943]) ).
cnf(s700,plain,
( ~ spl0_21
| spl0_31
| ~ spl0_93
| spl0_104
| spl0_106 ),
inference(sat_conversion,[],[f8944]) ).
cnf(s704,plain,
( ~ spl0_33
| spl0_40
| ~ spl0_130 ),
inference(sat_conversion,[],[f9084]) ).
cnf(s705,plain,
( ~ spl0_72
| ~ spl0_76
| ~ spl0_105 ),
inference(sat_conversion,[],[f9166]) ).
cnf(s708,plain,
( ~ spl0_9
| ~ spl0_79
| ~ spl0_127 ),
inference(sat_conversion,[],[f9181]) ).
cnf(s709,plain,
( ~ spl0_73
| spl0_79
| ~ spl0_133
| spl0_168 ),
inference(sat_conversion,[],[f9182]) ).
cnf(s714,plain,
( ~ spl0_23
| ~ spl0_50
| ~ spl0_57 ),
inference(sat_conversion,[],[f9210]) ).
cnf(s715,plain,
( ~ spl0_1
| ~ spl0_50
| ~ spl0_57 ),
inference(sat_conversion,[],[f9234]) ).
cnf(s716,plain,
( ~ spl0_15
| ~ spl0_48
| ~ spl0_57 ),
inference(sat_conversion,[],[f9282]) ).
cnf(s717,plain,
( ~ spl0_11
| spl0_93
| ~ spl0_168 ),
inference(sat_conversion,[],[f9339]) ).
cnf(s718,plain,
( ~ spl0_48
| ~ spl0_86
| ~ spl0_96 ),
inference(sat_conversion,[],[f9426]) ).
cnf(s719,plain,
( ~ spl0_50
| ~ spl0_86
| ~ spl0_105 ),
inference(sat_conversion,[],[f9428]) ).
cnf(s737,plain,
~ spl0_110,
inference(sat_conversion,[],[f9670]) ).
cnf(s739,plain,
( ~ spl0_61
| spl0_76
| ~ spl0_143 ),
inference(sat_conversion,[],[f9695]) ).
cnf(s751,plain,
~ spl0_132,
inference(sat_conversion,[],[f9913]) ).
cnf(s755,plain,
( ~ spl0_32
| ~ spl0_77
| spl0_110 ),
inference(sat_conversion,[],[f9956]) ).
cnf(s759,plain,
( ~ spl0_33
| ~ spl0_72
| ~ spl0_105 ),
inference(sat_conversion,[],[f10016]) ).
cnf(s764,plain,
( ~ spl0_77
| spl0_106
| spl0_110
| ~ spl0_151 ),
inference(sat_conversion,[],[f10129]) ).
cnf(s772,plain,
( ~ spl0_33
| ~ spl0_50
| spl0_76
| ~ spl0_112 ),
inference(sat_conversion,[],[f10250]) ).
cnf(s773,plain,
( ~ spl0_4
| spl0_180
| spl0_181 ),
inference(sat_conversion,[],[f10259]) ).
cnf(s774,plain,
( ~ spl0_6
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f10260]) ).
cnf(s783,plain,
( ~ spl0_50
| ~ spl0_76
| ~ spl0_84 ),
inference(sat_conversion,[],[f10333]) ).
cnf(s786,plain,
( ~ spl0_6
| spl0_76
| ~ spl0_162 ),
inference(sat_conversion,[],[f10378]) ).
cnf(s787,plain,
( ~ spl0_20
| spl0_76
| ~ spl0_98 ),
inference(sat_conversion,[],[f10417]) ).
cnf(s790,plain,
( ~ spl0_31
| ~ spl0_50
| ~ spl0_52 ),
inference(sat_conversion,[],[f10444]) ).
cnf(s791,plain,
( ~ spl0_31
| ~ spl0_96
| ~ spl0_105 ),
inference(sat_conversion,[],[f10446]) ).
cnf(s792,plain,
( spl0_50
| spl0_57
| ~ spl0_167 ),
inference(sat_conversion,[],[f10449]) ).
cnf(s808,plain,
( ~ spl0_31
| ~ spl0_76
| ~ spl0_93 ),
inference(sat_conversion,[],[f10545]) ).
cnf(s815,plain,
( ~ spl0_38
| ~ spl0_84
| ~ spl0_102 ),
inference(sat_conversion,[],[f10585]) ).
cnf(s816,plain,
( ~ spl0_6
| ~ spl0_44
| spl0_54
| spl0_57
| spl0_183 ),
inference(sat_conversion,[],[f10587]) ).
cnf(s817,plain,
( ~ spl0_73
| spl0_79
| spl0_105
| spl0_106
| ~ spl0_147 ),
inference(sat_conversion,[],[f10588]) ).
cnf(s818,plain,
( ~ spl0_167
| spl0_180 ),
inference(sat_conversion,[],[f10625]) ).
cnf(s821,plain,
( spl0_43
| ~ spl0_183 ),
inference(sat_conversion,[],[f10669]) ).
cnf(s823,plain,
( ~ spl0_57
| ~ spl0_84
| ~ spl0_102 ),
inference(sat_conversion,[],[f10697]) ).
cnf(s824,plain,
( ~ spl0_44
| spl0_84
| ~ spl0_168 ),
inference(sat_conversion,[],[f10698]) ).
cnf(s828,plain,
( ~ spl0_71
| ~ spl0_75
| ~ spl0_168 ),
inference(sat_conversion,[],[f10786]) ).
cnf(s832,plain,
( ~ spl0_31
| ~ spl0_71
| spl0_85
| ~ spl0_96
| ~ spl0_133 ),
inference(sat_conversion,[],[f10792]) ).
cnf(s833,plain,
( ~ spl0_40
| ~ spl0_76
| ~ spl0_112 ),
inference(sat_conversion,[],[f10808]) ).
cnf(s835,plain,
( ~ spl0_31
| spl0_89
| ~ spl0_96
| ~ spl0_180 ),
inference(sat_conversion,[],[f10838]) ).
cnf(s842,plain,
( ~ spl0_7
| spl0_79
| ~ spl0_96
| spl0_107
| ~ spl0_181 ),
inference(sat_conversion,[],[f10904]) ).
cnf(s843,plain,
( ~ spl0_72
| spl0_79
| ~ spl0_102
| spl0_107
| ~ spl0_181 ),
inference(sat_conversion,[],[f10906]) ).
cnf(s847,plain,
( ~ spl0_72
| ~ spl0_76
| spl0_89
| ~ spl0_180 ),
inference(sat_conversion,[],[f10932]) ).
cnf(s853,plain,
( ~ spl0_9
| ~ spl0_40
| ~ spl0_52 ),
inference(sat_conversion,[],[f10987]) ).
cnf(s854,plain,
( ~ spl0_72
| ~ spl0_76
| ~ spl0_79 ),
inference(sat_conversion,[],[f11012]) ).
cnf(s859,plain,
( spl0_94
| spl0_127
| spl0_128 ),
inference(sat_conversion,[],[f11046]) ).
cnf(s865,plain,
( ~ spl0_15
| ~ spl0_22
| spl0_79
| ~ spl0_127 ),
inference(sat_conversion,[],[f11208]) ).
cnf(s866,plain,
( spl0_7
| spl0_9
| ~ spl0_22 ),
inference(sat_conversion,[],[f11210]) ).
cnf(s867,plain,
( spl0_7
| spl0_9
| spl0_16
| ~ spl0_181 ),
inference(sat_conversion,[],[f11211]) ).
cnf(s878,plain,
( spl0_1
| spl0_23
| spl0_182 ),
inference(sat_conversion,[],[f11325]) ).
cnf(s879,plain,
( ~ spl0_17
| ~ spl0_98
| spl0_102 ),
inference(sat_conversion,[],[f11379]) ).
cnf(s882,plain,
( ~ spl0_42
| ~ spl0_72
| spl0_79
| ~ spl0_84
| spl0_132 ),
inference(sat_conversion,[],[f11486]) ).
cnf(s883,plain,
( ~ spl0_42
| spl0_53
| ~ spl0_76
| ~ spl0_84
| ~ spl0_111 ),
inference(sat_conversion,[],[f11487]) ).
cnf(s884,plain,
( ~ spl0_29
| ~ spl0_72
| spl0_79
| ~ spl0_93 ),
inference(sat_conversion,[],[f11513]) ).
cnf(s885,plain,
( ~ spl0_15
| ~ spl0_29
| spl0_79
| ~ spl0_89 ),
inference(sat_conversion,[],[f11514]) ).
cnf(s886,plain,
( ~ spl0_15
| ~ spl0_29
| ~ spl0_38
| ~ spl0_76
| ~ spl0_84 ),
inference(sat_conversion,[],[f11516]) ).
cnf(s887,plain,
( ~ spl0_72
| ~ spl0_96
| ~ spl0_111 ),
inference(sat_conversion,[],[f11518]) ).
cnf(s910,plain,
~ spl0_16,
inference(sat_conversion,[],[f11660]) ).
cnf(s922,plain,
( ~ spl0_22
| spl0_38
| ~ spl0_76
| ~ spl0_84 ),
inference(sat_conversion,[],[f11874]) ).
cnf(s925,plain,
( ~ spl0_71
| spl0_82
| spl0_86
| ~ spl0_142 ),
inference(sat_conversion,[],[f11877]) ).
cnf(s930,plain,
( ~ spl0_71
| spl0_92
| spl0_93
| ~ spl0_94 ),
inference(sat_conversion,[],[f11882]) ).
cnf(s933,plain,
( ~ spl0_15
| ~ spl0_29
| spl0_40
| ~ spl0_57 ),
inference(sat_conversion,[],[f11930]) ).
cnf(s934,plain,
( ~ spl0_15
| ~ spl0_29
| spl0_33
| ~ spl0_180 ),
inference(sat_conversion,[],[f11931]) ).
cnf(s937,plain,
( spl0_77
| spl0_106
| ~ spl0_180 ),
inference(sat_conversion,[],[f11938]) ).
cnf(s964,plain,
( ~ spl0_22
| ~ spl0_38
| spl0_76
| ~ spl0_84 ),
inference(sat_conversion,[],[f12156]) ).
cnf(s965,plain,
( ~ spl0_22
| ~ spl0_57
| spl0_76
| ~ spl0_84 ),
inference(sat_conversion,[],[f12158]) ).
cnf(s971,plain,
( ~ spl0_29
| ~ spl0_72
| ~ spl0_79
| spl0_93 ),
inference(sat_conversion,[],[f12406]) ).
cnf(s972,plain,
( ~ spl0_15
| ~ spl0_29
| ~ spl0_72
| ~ spl0_79
| ~ spl0_102 ),
inference(sat_conversion,[],[f12409]) ).
cnf(s973,plain,
( ~ spl0_29
| ~ spl0_48
| ~ spl0_72
| ~ spl0_79
| ~ spl0_84 ),
inference(sat_conversion,[],[f12411]) ).
cnf(s978,plain,
( ~ spl0_7
| ~ spl0_22
| spl0_33
| ~ spl0_152 ),
inference(sat_conversion,[],[f12531]) ).
cnf(s983,plain,
( spl0_50
| spl0_52
| ~ spl0_152 ),
inference(sat_conversion,[],[f12552]) ).
cnf(s986,plain,
( ~ spl0_28
| spl0_50
| spl0_52
| spl0_53 ),
inference(sat_conversion,[],[f12556]) ).
cnf(s990,plain,
( ~ spl0_23
| ~ spl0_102
| ~ spl0_106 ),
inference(sat_conversion,[],[f12585]) ).
cnf(s994,plain,
( ~ spl0_7
| ~ spl0_28
| spl0_184 ),
inference(sat_conversion,[],[f12658]) ).
cnf(s998,plain,
( ~ spl0_7
| ~ spl0_28
| spl0_185 ),
inference(sat_conversion,[],[f12830]) ).
cnf(s1003,plain,
( spl0_104
| spl0_189
| spl0_190 ),
inference(sat_conversion,[],[f13247]) ).
cnf(s1004,plain,
( spl0_104
| spl0_191
| spl0_192 ),
inference(sat_conversion,[],[f13255]) ).
cnf(s1006,plain,
( spl0_110
| spl0_194
| spl0_195 ),
inference(sat_conversion,[],[f13283]) ).
cnf(s1007,plain,
( spl0_110
| spl0_196
| spl0_197 ),
inference(sat_conversion,[],[f13290]) ).
cnf(s1008,plain,
( spl0_110
| spl0_111
| ~ spl0_147
| spl0_198 ),
inference(sat_conversion,[],[f13294]) ).
cnf(s1042,plain,
~ spl0_215,
inference(sat_conversion,[],[f13761]) ).
cnf(s1067,plain,
( spl0_126
| spl0_233
| spl0_238 ),
inference(sat_conversion,[],[f14026]) ).
cnf(s1073,plain,
( spl0_227
| spl0_239
| spl0_240 ),
inference(sat_conversion,[],[f14083]) ).
cnf(s1080,plain,
( spl0_207
| spl0_219 ),
inference(sat_conversion,[],[f14099]) ).
cnf(s1082,plain,
( ~ spl0_1
| ~ spl0_224
| ~ spl0_238 ),
inference(sat_conversion,[],[f14130]) ).
cnf(s1092,plain,
( spl0_16
| ~ spl0_194
| ~ spl0_202
| spl0_241 ),
inference(sat_conversion,[],[f14246]) ).
cnf(s1107,plain,
( ~ spl0_106
| ~ spl0_223
| ~ spl0_241 ),
inference(sat_conversion,[],[f14324]) ).
cnf(s1109,plain,
( ~ spl0_22
| spl0_54
| ~ spl0_185
| ~ spl0_223
| ~ spl0_241 ),
inference(sat_conversion,[],[f14326]) ).
cnf(s1110,plain,
( ~ spl0_33
| ~ spl0_223
| ~ spl0_241 ),
inference(sat_conversion,[],[f14328]) ).
cnf(s1114,plain,
( ~ spl0_33
| spl0_223
| spl0_224 ),
inference(sat_conversion,[],[f14345]) ).
cnf(s1125,plain,
( ~ spl0_7
| ~ spl0_207
| ~ spl0_232 ),
inference(sat_conversion,[],[f14416]) ).
cnf(s1129,plain,
( ~ spl0_52
| ~ spl0_152
| spl0_223
| ~ spl0_239 ),
inference(sat_conversion,[],[f14450]) ).
cnf(s1131,plain,
( ~ spl0_28
| ~ spl0_52
| spl0_131
| spl0_223
| ~ spl0_239 ),
inference(sat_conversion,[],[f14453]) ).
cnf(s1144,plain,
( ~ spl0_72
| ~ spl0_96
| spl0_106
| ~ spl0_152 ),
inference(sat_conversion,[],[f14568]) ).
cnf(s1145,plain,
( ~ spl0_4
| spl0_7
| ~ spl0_28 ),
inference(sat_conversion,[],[f14569]) ).
cnf(s1146,plain,
( ~ spl0_7
| ~ spl0_102
| spl0_106
| ~ spl0_152 ),
inference(sat_conversion,[],[f14570]) ).
cnf(s1148,plain,
( ~ spl0_23
| ~ spl0_33
| ~ spl0_102 ),
inference(sat_conversion,[],[f14574]) ).
cnf(s1149,plain,
( spl0_7
| spl0_23
| ~ spl0_200 ),
inference(sat_conversion,[],[f14575]) ).
cnf(s1151,plain,
( spl0_54
| ~ spl0_102
| spl0_106
| ~ spl0_185 ),
inference(sat_conversion,[],[f14581]) ).
cnf(s1152,plain,
( ~ spl0_102
| spl0_106
| spl0_110
| ~ spl0_184 ),
inference(sat_conversion,[],[f14583]) ).
cnf(s1158,plain,
( spl0_106
| spl0_111
| ~ spl0_152 ),
inference(sat_conversion,[],[f14654]) ).
cnf(s1163,plain,
( ~ spl0_28
| spl0_106
| spl0_110
| spl0_111 ),
inference(sat_conversion,[],[f14665]) ).
cnf(s1165,plain,
( ~ spl0_28
| ~ spl0_111
| spl0_187 ),
inference(sat_conversion,[],[f14676]) ).
cnf(s1169,plain,
( spl0_96
| spl0_105
| ~ spl0_152 ),
inference(sat_conversion,[],[f14706]) ).
cnf(s1171,plain,
( ~ spl0_28
| spl0_96
| spl0_105 ),
inference(sat_conversion,[],[f14708]) ).
cnf(s1172,plain,
( ~ spl0_50
| ~ spl0_204
| ~ spl0_226 ),
inference(sat_conversion,[],[f14742]) ).
cnf(s1176,plain,
( ~ spl0_143
| ~ spl0_189
| ~ spl0_218 ),
inference(sat_conversion,[],[f14783]) ).
cnf(s1189,plain,
( ~ spl0_28
| ~ spl0_111
| ~ spl0_190
| spl0_208 ),
inference(sat_conversion,[],[f14837]) ).
cnf(s1211,plain,
~ spl0_213,
inference(sat_conversion,[],[f15037]) ).
cnf(s1216,plain,
( ~ spl0_197
| spl0_238
| ~ spl0_248
| spl0_249 ),
inference(sat_conversion,[],[f15092]) ).
cnf(s1222,plain,
( ~ spl0_196
| ~ spl0_208
| ~ spl0_224 ),
inference(sat_conversion,[],[f15123]) ).
cnf(s1224,plain,
( spl0_232
| spl0_248 ),
inference(sat_conversion,[],[f15132]) ).
cnf(s1232,plain,
( ~ spl0_56
| spl0_226
| ~ spl0_249 ),
inference(sat_conversion,[],[f15167]) ).
cnf(s1245,plain,
( ~ spl0_99
| ~ spl0_202
| spl0_217 ),
inference(sat_conversion,[],[f15276]) ).
cnf(s1254,plain,
( spl0_226
| ~ spl0_227
| ~ spl0_229 ),
inference(sat_conversion,[],[f15488]) ).
cnf(s1255,plain,
( ~ spl0_229
| spl0_232
| ~ spl0_233 ),
inference(sat_conversion,[],[f15489]) ).
cnf(s1256,plain,
( ~ spl0_171
| spl0_217
| ~ spl0_229 ),
inference(sat_conversion,[],[f15490]) ).
cnf(s1261,plain,
( spl0_204
| spl0_210 ),
inference(sat_conversion,[],[f15517]) ).
cnf(s1265,plain,
( ~ spl0_26
| spl0_174
| spl0_238 ),
inference(sat_conversion,[],[f15597]) ).
cnf(s1266,plain,
( ~ spl0_102
| ~ spl0_190
| ~ spl0_232 ),
inference(sat_conversion,[],[f15613]) ).
cnf(s1267,plain,
( ~ spl0_23
| ~ spl0_208
| ~ spl0_232 ),
inference(sat_conversion,[],[f15615]) ).
cnf(s1273,plain,
( ~ spl0_48
| ~ spl0_172
| ~ spl0_230 ),
inference(sat_conversion,[],[f15651]) ).
cnf(s1277,plain,
( ~ spl0_15
| ~ spl0_174
| ~ spl0_238 ),
inference(sat_conversion,[],[f15705]) ).
cnf(s1278,plain,
( spl0_131
| spl0_171
| spl0_174 ),
inference(sat_conversion,[],[f15708]) ).
cnf(s1280,plain,
( spl0_104
| spl0_171
| spl0_174 ),
inference(sat_conversion,[],[f15710]) ).
cnf(s1285,plain,
( ~ spl0_194
| ~ spl0_218
| spl0_229
| spl0_230 ),
inference(sat_conversion,[],[f15781]) ).
cnf(s1288,plain,
( spl0_224
| spl0_259 ),
inference(sat_conversion,[],[f15794]) ).
cnf(s1290,plain,
( ~ spl0_111
| ~ spl0_192
| ~ spl0_217 ),
inference(sat_conversion,[],[f15815]) ).
cnf(s1291,plain,
( ~ spl0_111
| ~ spl0_172
| ~ spl0_241 ),
inference(sat_conversion,[],[f15830]) ).
cnf(s1301,plain,
( ~ spl0_111
| ~ spl0_152
| spl0_223
| ~ spl0_241 ),
inference(sat_conversion,[],[f15863]) ).
cnf(s1304,plain,
( ~ spl0_28
| ~ spl0_111
| spl0_131
| spl0_223
| ~ spl0_241 ),
inference(sat_conversion,[],[f15866]) ).
cnf(s1305,plain,
( ~ spl0_28
| spl0_104
| ~ spl0_111
| spl0_223
| ~ spl0_241 ),
inference(sat_conversion,[],[f15867]) ).
cnf(s1333,plain,
~ spl0_131,
inference(sat_conversion,[],[f16119]) ).
cnf(s1343,plain,
( ~ spl0_23
| ~ spl0_223
| ~ spl0_238 ),
inference(sat_conversion,[],[f16147]) ).
cnf(s1344,plain,
( ~ spl0_196
| ~ spl0_208
| ~ spl0_223 ),
inference(sat_conversion,[],[f16149]) ).
cnf(s1345,plain,
( ~ spl0_50
| ~ spl0_223
| ~ spl0_239 ),
inference(sat_conversion,[],[f16151]) ).
cnf(s1348,plain,
( ~ spl0_26
| ~ spl0_172
| ~ spl0_195
| spl0_232 ),
inference(sat_conversion,[],[f16225]) ).
cnf(s1349,plain,
( ~ spl0_26
| ~ spl0_111
| ~ spl0_192
| spl0_232 ),
inference(sat_conversion,[],[f16226]) ).
cnf(s1350,plain,
( ~ spl0_85
| spl0_137
| ~ spl0_163 ),
inference(sat_conversion,[],[f16227]) ).
cnf(s1351,plain,
( ~ spl0_4
| spl0_102
| spl0_104
| ~ spl0_147
| spl0_167 ),
inference(sat_conversion,[],[f16228]) ).
cnf(s1352,plain,
( ~ spl0_52
| ~ spl0_84
| ~ spl0_111 ),
inference(sat_conversion,[],[f16229]) ).
cnf(s1353,plain,
( ~ spl0_85
| ~ spl0_99
| spl0_127 ),
inference(sat_conversion,[],[f16230]) ).
cnf(s1354,plain,
( spl0_152
| ~ spl0_200 ),
inference(sat_conversion,[],[f16231]) ).
cnf(s1355,plain,
( ~ spl0_11
| spl0_93
| spl0_110
| ~ spl0_147
| spl0_200 ),
inference(sat_conversion,[],[f16233]) ).
cnf(s1356,plain,
( spl0_40
| ~ spl0_62
| spl0_84
| ~ spl0_199 ),
inference(sat_conversion,[],[f16234]) ).
cnf(s1359,plain,
( ~ spl0_6
| spl0_102
| spl0_104
| spl0_261 ),
inference(sat_conversion,[],[f16240]) ).
cnf(s1361,plain,
( ~ spl0_20
| spl0_110
| spl0_111
| ~ spl0_133
| spl0_262 ),
inference(sat_conversion,[],[f16245]) ).
cnf(s1362,plain,
( ~ spl0_6
| spl0_77
| spl0_104
| ~ spl0_133
| spl0_262 ),
inference(sat_conversion,[],[f16246]) ).
cnf(s1364,plain,
( ~ spl0_20
| spl0_93
| spl0_110
| spl0_199 ),
inference(sat_conversion,[],[f16248]) ).
cnf(s1365,plain,
( spl0_77
| spl0_104
| ~ spl0_147
| spl0_193 ),
inference(sat_conversion,[],[f16249]) ).
cnf(s1366,plain,
( ~ spl0_6
| spl0_224
| ~ spl0_234 ),
inference(sat_conversion,[],[f16250]) ).
cnf(s1374,plain,
( spl0_23
| ~ spl0_77
| ~ spl0_187 ),
inference(sat_conversion,[],[f16304]) ).
cnf(s1401,plain,
~ spl0_126,
inference(sat_conversion,[],[f16555]) ).
cnf(s1405,plain,
( ~ spl0_106
| ~ spl0_190
| ~ spl0_208 ),
inference(sat_conversion,[],[f16577]) ).
cnf(s1406,plain,
( spl0_208
| spl0_231 ),
inference(sat_conversion,[],[f16578]) ).
cnf(s1408,plain,
( ~ spl0_9
| ~ spl0_172
| ~ spl0_223 ),
inference(sat_conversion,[],[f16580]) ).
cnf(s1427,plain,
~ spl0_214,
inference(sat_conversion,[],[f16808]) ).
cnf(s1430,plain,
( ~ spl0_4
| spl0_238
| ~ spl0_260 ),
inference(sat_conversion,[],[f16831]) ).
cnf(s1431,plain,
( ~ spl0_52
| ~ spl0_86
| ~ spl0_96 ),
inference(sat_conversion,[],[f16849]) ).
cnf(s1432,plain,
( spl0_31
| spl0_48
| ~ spl0_183 ),
inference(sat_conversion,[],[f16850]) ).
cnf(s1433,plain,
( ~ spl0_40
| ~ spl0_224
| ~ spl0_239 ),
inference(sat_conversion,[],[f16852]) ).
cnf(s1435,plain,
( spl0_73
| spl0_74
| spl0_110 ),
inference(sat_conversion,[],[f16855]) ).
cnf(s1436,plain,
( spl0_23
| spl0_38
| ~ spl0_183 ),
inference(sat_conversion,[],[f16856]) ).
cnf(s1452,plain,
( ~ spl0_23
| ~ spl0_208
| ~ spl0_265 ),
inference(sat_conversion,[],[f17021]) ).
cnf(s1453,plain,
( ~ spl0_9
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f17031]) ).
cnf(s1454,plain,
( ~ spl0_23
| ~ spl0_224
| ~ spl0_238 ),
inference(sat_conversion,[],[f17043]) ).
cnf(s1455,plain,
( ~ spl0_40
| ~ spl0_223
| ~ spl0_230 ),
inference(sat_conversion,[],[f17044]) ).
cnf(s1457,plain,
( ~ spl0_15
| ~ spl0_23
| spl0_93
| ~ spl0_262 ),
inference(sat_conversion,[],[f17097]) ).
cnf(s1473,plain,
( ~ spl0_23
| ~ spl0_204
| ~ spl0_232 ),
inference(sat_conversion,[],[f17267]) ).
cnf(s1474,plain,
( ~ spl0_11
| ~ spl0_209
| spl0_217 ),
inference(sat_conversion,[],[f17268]) ).
cnf(s1476,plain,
( spl0_254
| spl0_266 ),
inference(sat_conversion,[],[f17280]) ).
cnf(s1478,plain,
( ~ spl0_23
| ~ spl0_223
| ~ spl0_266 ),
inference(sat_conversion,[],[f17288]) ).
cnf(s1479,plain,
( ~ spl0_32
| spl0_131
| ~ spl0_266 ),
inference(sat_conversion,[],[f17290]) ).
cnf(s1483,plain,
( spl0_172
| spl0_173 ),
inference(sat_conversion,[],[f17311]) ).
cnf(s1484,plain,
( spl0_230
| spl0_255 ),
inference(sat_conversion,[],[f17325]) ).
cnf(s1485,plain,
( spl0_230
| spl0_240
| spl0_255 ),
inference(sat_conversion,[],[f17327]) ).
cnf(s1488,plain,
( spl0_54
| spl0_230
| spl0_255 ),
inference(sat_conversion,[],[f17330]) ).
cnf(s1489,plain,
( ~ spl0_50
| ~ spl0_208
| ~ spl0_226 ),
inference(sat_conversion,[],[f17348]) ).
cnf(s1519,plain,
~ spl0_240,
inference(sat_conversion,[],[f17674]) ).
cnf(s1526,plain,
( ~ spl0_28
| spl0_131
| spl0_172
| spl0_223 ),
inference(sat_conversion,[],[f17756]) ).
cnf(s1528,plain,
( ~ spl0_28
| ~ spl0_111
| spl0_186 ),
inference(sat_conversion,[],[f17866]) ).
cnf(s1529,plain,
( ~ spl0_36
| ~ spl0_72
| ~ spl0_79
| spl0_102
| spl0_106 ),
inference(sat_conversion,[],[f17997]) ).
cnf(s1530,plain,
( ~ spl0_7
| spl0_33
| ~ spl0_36
| ~ spl0_152 ),
inference(sat_conversion,[],[f18000]) ).
cnf(s1531,plain,
( ~ spl0_7
| ~ spl0_36
| ~ spl0_174
| spl0_223
| spl0_224 ),
inference(sat_conversion,[],[f18001]) ).
cnf(s1535,plain,
( ~ spl0_72
| spl0_77
| ~ spl0_79
| spl0_106
| ~ spl0_182 ),
inference(sat_conversion,[],[f18048]) ).
cnf(s1548,plain,
( ~ spl0_42
| ~ spl0_195
| spl0_224
| ~ spl0_226
| spl0_240 ),
inference(sat_conversion,[],[f18279]) ).
cnf(s1550,plain,
( ~ spl0_42
| ~ spl0_52
| ~ spl0_174
| spl0_224
| spl0_240 ),
inference(sat_conversion,[],[f18286]) ).
cnf(s1554,plain,
( ~ spl0_42
| ~ spl0_52
| ~ spl0_72
| ~ spl0_79
| ~ spl0_111
| spl0_113 ),
inference(sat_conversion,[],[f18295]) ).
cnf(s1559,plain,
( ~ spl0_43
| spl0_50
| ~ spl0_152
| spl0_272 ),
inference(sat_conversion,[],[f18349]) ).
cnf(s1565,plain,
( ~ spl0_28
| ~ spl0_43
| spl0_50
| spl0_106
| ~ spl0_111 ),
inference(sat_conversion,[],[f18356]) ).
cnf(s1567,plain,
( ~ spl0_43
| ~ spl0_52
| ~ spl0_152
| spl0_272 ),
inference(sat_conversion,[],[f18360]) ).
cnf(s1568,plain,
( spl0_223
| ~ spl0_272 ),
inference(sat_conversion,[],[f18365]) ).
cnf(s1569,plain,
( spl0_106
| ~ spl0_272 ),
inference(sat_conversion,[],[f18368]) ).
cnf(s1574,plain,
( ~ spl0_42
| ~ spl0_195
| spl0_204
| spl0_215
| ~ spl0_239 ),
inference(sat_conversion,[],[f18457]) ).
cnf(s1575,plain,
( spl0_9
| ~ spl0_42
| spl0_52
| spl0_53 ),
inference(sat_conversion,[],[f18458]) ).
cnf(s1582,plain,
( ~ spl0_69
| ~ spl0_72
| ~ spl0_79
| spl0_84 ),
inference(sat_conversion,[],[f18565]) ).
cnf(s1583,plain,
( ~ spl0_69
| spl0_224
| spl0_239 ),
inference(sat_conversion,[],[f18566]) ).
cnf(s1584,plain,
( ~ spl0_50
| ~ spl0_69
| spl0_204
| ~ spl0_208 ),
inference(sat_conversion,[],[f18567]) ).
cnf(s1587,plain,
( ~ spl0_11
| spl0_48
| ~ spl0_68 ),
inference(sat_conversion,[],[f18587]) ).
cnf(s1588,plain,
( ~ spl0_43
| ~ spl0_48
| ~ spl0_174
| spl0_223 ),
inference(sat_conversion,[],[f18589]) ).
cnf(s1590,plain,
( ~ spl0_43
| ~ spl0_48
| ~ spl0_152
| spl0_272 ),
inference(sat_conversion,[],[f18608]) ).
cnf(s1592,plain,
( ~ spl0_50
| ~ spl0_79
| ~ spl0_123
| spl0_137 ),
inference(sat_conversion,[],[f18912]) ).
cnf(s1593,plain,
( ~ spl0_123
| ~ spl0_195
| spl0_232
| ~ spl0_239 ),
inference(sat_conversion,[],[f18913]) ).
cnf(s1595,plain,
( ~ spl0_72
| ~ spl0_84
| ~ spl0_123
| spl0_137 ),
inference(sat_conversion,[],[f18915]) ).
cnf(s1596,plain,
( ~ spl0_50
| ~ spl0_123
| ~ spl0_208
| spl0_232 ),
inference(sat_conversion,[],[f18916]) ).
cnf(s1607,plain,
( spl0_40
| ~ spl0_58
| spl0_84
| ~ spl0_261 ),
inference(sat_conversion,[],[f19015]) ).
cnf(s1608,plain,
( spl0_40
| ~ spl0_56
| spl0_112
| ~ spl0_193 ),
inference(sat_conversion,[],[f19016]) ).
cnf(s1612,plain,
( ~ spl0_48
| ~ spl0_111
| ~ spl0_112 ),
inference(sat_conversion,[],[f19064]) ).
cnf(s1616,plain,
( spl0_131
| ~ spl0_153
| spl0_174
| spl0_224 ),
inference(sat_conversion,[],[f19112]) ).
cnf(s1617,plain,
( ~ spl0_93
| ~ spl0_153
| ~ spl0_190
| spl0_204
| spl0_213 ),
inference(sat_conversion,[],[f19114]) ).
cnf(s1618,plain,
( spl0_107
| ~ spl0_187
| ~ spl0_192
| spl0_208 ),
inference(sat_conversion,[],[f19117]) ).
cnf(s1619,plain,
( ~ spl0_153
| ~ spl0_174
| ~ spl0_195
| spl0_204
| spl0_213 ),
inference(sat_conversion,[],[f19118]) ).
cnf(s1620,plain,
( ~ spl0_186
| ~ spl0_192
| spl0_208
| spl0_213 ),
inference(sat_conversion,[],[f19119]) ).
cnf(s1623,plain,
( ~ spl0_195
| ~ spl0_204
| ~ spl0_224 ),
inference(sat_conversion,[],[f19160]) ).
cnf(s1629,plain,
( ~ spl0_72
| ~ spl0_84
| spl0_89
| spl0_107
| ~ spl0_124
| spl0_132 ),
inference(sat_conversion,[],[f19342]) ).
cnf(s1636,plain,
( ~ spl0_23
| ~ spl0_50
| ~ spl0_105
| spl0_107
| ~ spl0_124
| spl0_132 ),
inference(sat_conversion,[],[f19394]) ).
cnf(s1638,plain,
( ~ spl0_43
| ~ spl0_74
| spl0_105
| ~ spl0_112 ),
inference(sat_conversion,[],[f19499]) ).
cnf(s1640,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_79
| spl0_105 ),
inference(sat_conversion,[],[f19503]) ).
cnf(s1641,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_204
| spl0_208 ),
inference(sat_conversion,[],[f19504]) ).
cnf(s1643,plain,
( spl0_77
| spl0_112
| ~ spl0_124 ),
inference(sat_conversion,[],[f19521]) ).
cnf(s1646,plain,
( spl0_53
| spl0_77
| spl0_112
| ~ spl0_124 ),
inference(sat_conversion,[],[f19526]) ).
cnf(s1655,plain,
( spl0_110
| ~ spl0_124
| spl0_230
| spl0_266 ),
inference(sat_conversion,[],[f19563]) ).
cnf(s1657,plain,
( ~ spl0_15
| ~ spl0_174
| ~ spl0_266 ),
inference(sat_conversion,[],[f19586]) ).
cnf(s1667,plain,
( ~ spl0_72
| spl0_89
| spl0_107
| ~ spl0_112
| ~ spl0_124
| spl0_132 ),
inference(sat_conversion,[],[f19650]) ).
cnf(s1669,plain,
( ~ spl0_72
| spl0_89
| ~ spl0_112
| ~ spl0_124 ),
inference(sat_conversion,[],[f19652]) ).
cnf(s1676,plain,
( ~ spl0_22
| ~ spl0_72
| ~ spl0_79
| spl0_102 ),
inference(sat_conversion,[],[f19819]) ).
cnf(s1677,plain,
( ~ spl0_7
| ~ spl0_22
| ~ spl0_72
| ~ spl0_79
| ~ spl0_111 ),
inference(sat_conversion,[],[f19822]) ).
cnf(s1678,plain,
( ~ spl0_7
| ~ spl0_22
| ~ spl0_174
| ~ spl0_195
| ~ spl0_204 ),
inference(sat_conversion,[],[f19824]) ).
cnf(s1679,plain,
( ~ spl0_48
| ~ spl0_93
| ~ spl0_112 ),
inference(sat_conversion,[],[f19825]) ).
cnf(s1683,plain,
( ~ spl0_29
| ~ spl0_48
| spl0_224
| ~ spl0_230 ),
inference(sat_conversion,[],[f19834]) ).
cnf(s1684,plain,
( ~ spl0_48
| ~ spl0_174
| ~ spl0_230 ),
inference(sat_conversion,[],[f19837]) ).
cnf(s1688,plain,
( spl0_50
| spl0_84
| ~ spl0_262 ),
inference(sat_conversion,[],[f19842]) ).
cnf(s1694,plain,
( spl0_54
| spl0_56
| spl0_57 ),
inference(sat_conversion,[],[f19879]) ).
cnf(s1704,plain,
( ~ spl0_31
| ~ spl0_174
| ~ spl0_223 ),
inference(sat_conversion,[],[f19972]) ).
cnf(s1705,plain,
( ~ spl0_77
| ~ spl0_180
| ~ spl0_190
| spl0_208 ),
inference(sat_conversion,[],[f19982]) ).
cnf(s1717,plain,
( ~ spl0_190
| ~ spl0_195
| ~ spl0_241 ),
inference(sat_conversion,[],[f20085]) ).
cnf(s1721,plain,
( ~ spl0_163
| ~ spl0_202
| spl0_232 ),
inference(sat_conversion,[],[f20118]) ).
cnf(s1722,plain,
( ~ spl0_142
| ~ spl0_202
| spl0_226 ),
inference(sat_conversion,[],[f20119]) ).
cnf(s1724,plain,
( ~ spl0_147
| ~ spl0_202
| spl0_204 ),
inference(sat_conversion,[],[f20120]) ).
cnf(s1727,plain,
( ~ spl0_38
| spl0_126
| ~ spl0_181
| spl0_224
| ~ spl0_239 ),
inference(sat_conversion,[],[f20185]) ).
cnf(s1733,plain,
( ~ spl0_31
| ~ spl0_204
| ~ spl0_217 ),
inference(sat_conversion,[],[f20245]) ).
cnf(s1735,plain,
( ~ spl0_44
| ~ spl0_209
| spl0_226 ),
inference(sat_conversion,[],[f20247]) ).
cnf(s1739,plain,
( ~ spl0_38
| ~ spl0_238
| ~ spl0_239 ),
inference(sat_conversion,[],[f20263]) ).
cnf(s1741,plain,
( ~ spl0_9
| ~ spl0_207
| ~ spl0_208 ),
inference(sat_conversion,[],[f20274]) ).
cnf(s1745,plain,
( spl0_201
| spl0_218 ),
inference(sat_conversion,[],[f20297]) ).
cnf(s1750,plain,
( ~ spl0_62
| spl0_174
| ~ spl0_225 ),
inference(sat_conversion,[],[f20329]) ).
cnf(s1753,plain,
( ~ spl0_197
| spl0_201
| spl0_229
| ~ spl0_255 ),
inference(sat_conversion,[],[f20370]) ).
cnf(s1754,plain,
( spl0_174
| ~ spl0_197
| ~ spl0_211
| spl0_212 ),
inference(sat_conversion,[],[f20373]) ).
cnf(s1755,plain,
( ~ spl0_173
| ~ spl0_197
| spl0_207
| spl0_229 ),
inference(sat_conversion,[],[f20374]) ).
cnf(s1758,plain,
( ~ spl0_45
| ~ spl0_212
| spl0_226 ),
inference(sat_conversion,[],[f20397]) ).
cnf(s1763,plain,
( ~ spl0_77
| spl0_106
| spl0_113
| ~ spl0_118 ),
inference(sat_conversion,[],[f20540]) ).
cnf(s1766,plain,
( ~ spl0_43
| spl0_106
| spl0_112 ),
inference(sat_conversion,[],[f20566]) ).
cnf(s1767,plain,
( ~ spl0_43
| spl0_223
| spl0_230 ),
inference(sat_conversion,[],[f20569]) ).
cnf(s1768,plain,
( ~ spl0_38
| ~ spl0_43
| ~ spl0_180
| spl0_272 ),
inference(sat_conversion,[],[f20570]) ).
cnf(s1770,plain,
( ~ spl0_40
| spl0_89
| ~ spl0_105
| spl0_107
| ~ spl0_124
| spl0_132 ),
inference(sat_conversion,[],[f20732]) ).
cnf(s1774,plain,
( ~ spl0_67
| spl0_84
| spl0_93 ),
inference(sat_conversion,[],[f20837]) ).
cnf(s1775,plain,
( ~ spl0_67
| spl0_174
| spl0_239 ),
inference(sat_conversion,[],[f20841]) ).
cnf(s1776,plain,
( ~ spl0_50
| ~ spl0_67
| ~ spl0_204
| spl0_217 ),
inference(sat_conversion,[],[f20848]) ).
cnf(s1777,plain,
( ~ spl0_50
| ~ spl0_67
| ~ spl0_79
| spl0_127 ),
inference(sat_conversion,[],[f20849]) ).
cnf(s1778,plain,
( ~ spl0_57
| ~ spl0_67
| ~ spl0_77
| spl0_93 ),
inference(sat_conversion,[],[f20851]) ).
cnf(s1779,plain,
( ~ spl0_57
| ~ spl0_67
| spl0_174
| ~ spl0_238 ),
inference(sat_conversion,[],[f20853]) ).
cnf(s1780,plain,
( ~ spl0_66
| spl0_131
| spl0_172
| spl0_230
| spl0_240 ),
inference(sat_conversion,[],[f20934]) ).
cnf(s1781,plain,
( ~ spl0_66
| spl0_110
| spl0_111
| spl0_112
| spl0_113 ),
inference(sat_conversion,[],[f20935]) ).
cnf(s1782,plain,
( ~ spl0_72
| ~ spl0_102
| ~ spl0_137 ),
inference(sat_conversion,[],[f20973]) ).
cnf(s1784,plain,
( spl0_40
| spl0_50
| spl0_57
| ~ spl0_182 ),
inference(sat_conversion,[],[f20982]) ).
cnf(s1785,plain,
( ~ spl0_22
| spl0_38
| spl0_40 ),
inference(sat_conversion,[],[f20993]) ).
cnf(s1787,plain,
( ~ spl0_22
| spl0_40
| ~ spl0_77
| ~ spl0_112 ),
inference(sat_conversion,[],[f21004]) ).
cnf(s1788,plain,
( spl0_38
| spl0_40
| spl0_54
| ~ spl0_181 ),
inference(sat_conversion,[],[f21005]) ).
cnf(s1792,plain,
( spl0_7
| spl0_38
| ~ spl0_66 ),
inference(sat_conversion,[],[f21011]) ).
cnf(s1794,plain,
( spl0_1
| spl0_40
| spl0_54
| spl0_57
| spl0_278 ),
inference(sat_conversion,[],[f21015]) ).
cnf(s1814,plain,
( ~ spl0_68
| spl0_278 ),
inference(sat_conversion,[],[f21184]) ).
cnf(s1815,plain,
( ~ spl0_25
| spl0_89
| spl0_96
| spl0_107
| spl0_128 ),
inference(sat_conversion,[],[f21200]) ).
cnf(s1816,plain,
( ~ spl0_25
| ~ spl0_77
| ~ spl0_190
| spl0_207
| spl0_213
| spl0_214 ),
inference(sat_conversion,[],[f21201]) ).
cnf(s1817,plain,
( ~ spl0_26
| ~ spl0_31
| ~ spl0_79
| spl0_137 ),
inference(sat_conversion,[],[f21278]) ).
cnf(s1818,plain,
( ~ spl0_26
| ~ spl0_31
| ~ spl0_204
| spl0_232 ),
inference(sat_conversion,[],[f21279]) ).
cnf(s1820,plain,
( ~ spl0_68
| ~ spl0_72
| spl0_105
| ~ spl0_112
| spl0_131 ),
inference(sat_conversion,[],[f21283]) ).
cnf(s1822,plain,
( ~ spl0_68
| ~ spl0_72
| spl0_104
| spl0_105
| ~ spl0_112 ),
inference(sat_conversion,[],[f21287]) ).
cnf(s1824,plain,
( spl0_9
| ~ spl0_17
| spl0_48
| ~ spl0_103 ),
inference(sat_conversion,[],[f21290]) ).
cnf(s1825,plain,
( spl0_9
| ~ spl0_14
| spl0_111
| ~ spl0_193 ),
inference(sat_conversion,[],[f21291]) ).
cnf(s1834,plain,
( spl0_106
| spl0_112
| spl0_113
| ~ spl0_278 ),
inference(sat_conversion,[],[f21367]) ).
cnf(s1842,plain,
( ~ spl0_77
| ~ spl0_241
| ~ spl0_266 ),
inference(sat_conversion,[],[f21422]) ).
cnf(s1843,plain,
( ~ spl0_52
| ~ spl0_172
| ~ spl0_239 ),
inference(sat_conversion,[],[f21458]) ).
cnf(s1846,plain,
( ~ spl0_52
| ~ spl0_174
| ~ spl0_239 ),
inference(sat_conversion,[],[f21473]) ).
cnf(s1849,plain,
( ~ spl0_72
| ~ spl0_93
| ~ spl0_127 ),
inference(sat_conversion,[],[f21485]) ).
cnf(s1850,plain,
( spl0_23
| spl0_102
| ~ spl0_262 ),
inference(sat_conversion,[],[f21486]) ).
cnf(s1856,plain,
( ~ spl0_40
| ~ spl0_201
| ~ spl0_208 ),
inference(sat_conversion,[],[f21605]) ).
cnf(s1857,plain,
( ~ spl0_7
| ~ spl0_174
| ~ spl0_238 ),
inference(sat_conversion,[],[f21606]) ).
cnf(s1858,plain,
( ~ spl0_7
| ~ spl0_93
| ~ spl0_102 ),
inference(sat_conversion,[],[f21607]) ).
cnf(s1873,plain,
( ~ spl0_20
| spl0_40
| ~ spl0_66 ),
inference(sat_conversion,[],[f21785]) ).
cnf(s1874,plain,
( ~ spl0_21
| spl0_180 ),
inference(sat_conversion,[],[f21799]) ).
cnf(s1876,plain,
( ~ spl0_84
| ~ spl0_230
| ~ spl0_241 ),
inference(sat_conversion,[],[f21827]) ).
cnf(s1878,plain,
( ~ spl0_74
| ~ spl0_77
| ~ spl0_137 ),
inference(sat_conversion,[],[f21848]) ).
cnf(s1879,plain,
( ~ spl0_1
| ~ spl0_79
| ~ spl0_137 ),
inference(sat_conversion,[],[f21850]) ).
cnf(s1880,plain,
( ~ spl0_1
| ~ spl0_77
| ~ spl0_106 ),
inference(sat_conversion,[],[f21851]) ).
cnf(s1881,plain,
( ~ spl0_72
| ~ spl0_93
| ~ spl0_96 ),
inference(sat_conversion,[],[f21853]) ).
cnf(s1897,plain,
( ~ spl0_72
| ~ spl0_272 ),
inference(sat_conversion,[],[f21988]) ).
cnf(s1906,plain,
( ~ spl0_73
| spl0_85
| spl0_112
| ~ spl0_144 ),
inference(sat_conversion,[],[f22141]) ).
cnf(s1907,plain,
( ~ spl0_106
| ~ spl0_192
| ~ spl0_204 ),
inference(sat_conversion,[],[f22166]) ).
cnf(s1909,plain,
( ~ spl0_38
| ~ spl0_201
| ~ spl0_265 ),
inference(sat_conversion,[],[f22169]) ).
cnf(s1910,plain,
( ~ spl0_48
| ~ spl0_201
| ~ spl0_207 ),
inference(sat_conversion,[],[f22170]) ).
cnf(s1918,plain,
( ~ spl0_38
| ~ spl0_230
| ~ spl0_238 ),
inference(sat_conversion,[],[f22358]) ).
cnf(s1919,plain,
( ~ spl0_72
| ~ spl0_84
| ~ spl0_130 ),
inference(sat_conversion,[],[f22359]) ).
cnf(s1931,plain,
( ~ spl0_9
| ~ spl0_79
| ~ spl0_96 ),
inference(sat_conversion,[],[f22485]) ).
cnf(s1935,plain,
( ~ spl0_52
| ~ spl0_172
| ~ spl0_230 ),
inference(sat_conversion,[],[f22545]) ).
cnf(s1992,plain,
( ~ spl0_121
| spl0_272 ),
inference(sat_conversion,[],[f23078]) ).
cnf(s1994,plain,
( ~ spl0_9
| ~ spl0_172
| ~ spl0_224 ),
inference(sat_conversion,[],[f23102]) ).
cnf(s2008,plain,
( ~ spl0_76
| spl0_281 ),
inference(sat_conversion,[],[f23197]) ).
cnf(s2011,plain,
( ~ spl0_4
| spl0_102
| ~ spl0_168 ),
inference(sat_conversion,[],[f23264]) ).
cnf(s2014,plain,
( ~ spl0_1
| ~ spl0_89
| ~ spl0_105 ),
inference(sat_conversion,[],[f23291]) ).
cnf(s2023,plain,
( ~ spl0_223
| ~ spl0_241
| ~ spl0_281 ),
inference(sat_conversion,[],[f23413]) ).
cnf(s2025,plain,
( ~ spl0_73
| ~ spl0_75
| spl0_85
| spl0_106 ),
inference(sat_conversion,[],[f23464]) ).
cnf(s2026,plain,
( ~ spl0_73
| spl0_77
| spl0_85
| ~ spl0_159 ),
inference(sat_conversion,[],[f23465]) ).
cnf(s2027,plain,
( ~ spl0_73
| spl0_85
| spl0_111
| ~ spl0_138 ),
inference(sat_conversion,[],[f23466]) ).
cnf(s2028,plain,
( ~ spl0_133
| ~ spl0_189
| spl0_202
| spl0_208 ),
inference(sat_conversion,[],[f23511]) ).
cnf(s2029,plain,
( ~ spl0_168
| ~ spl0_189
| ~ spl0_231 ),
inference(sat_conversion,[],[f23512]) ).
cnf(s2033,plain,
( ~ spl0_189
| spl0_208
| ~ spl0_262 ),
inference(sat_conversion,[],[f23516]) ).
cnf(s2042,plain,
( ~ spl0_57
| ~ spl0_226
| ~ spl0_232 ),
inference(sat_conversion,[],[f23588]) ).
cnf(s2043,plain,
( ~ spl0_22
| ~ spl0_195
| spl0_204
| ~ spl0_266 ),
inference(sat_conversion,[],[f23667]) ).
cnf(s2053,plain,
( spl0_53
| ~ spl0_191
| ~ spl0_229
| spl0_283 ),
inference(sat_conversion,[],[f23810]) ).
cnf(s2054,plain,
( ~ spl0_112
| ~ spl0_239
| ~ spl0_283 ),
inference(sat_conversion,[],[f23820]) ).
cnf(s2055,plain,
( spl0_1
| ~ spl0_14
| spl0_102
| ~ spl0_199 ),
inference(sat_conversion,[],[f23846]) ).
cnf(s2057,plain,
( ~ spl0_25
| spl0_126
| spl0_131
| spl0_172
| spl0_266 ),
inference(sat_conversion,[],[f23925]) ).
cnf(s2058,plain,
( ~ spl0_25
| spl0_77
| spl0_104
| spl0_110
| spl0_111 ),
inference(sat_conversion,[],[f23928]) ).
cnf(s2075,plain,
( ~ spl0_26
| ~ spl0_31
| ~ spl0_208
| spl0_232 ),
inference(sat_conversion,[],[f24188]) ).
cnf(s2076,plain,
( ~ spl0_26
| ~ spl0_31
| ~ spl0_105
| spl0_137 ),
inference(sat_conversion,[],[f24189]) ).
cnf(s2078,plain,
( ~ spl0_26
| ~ spl0_48
| ~ spl0_230
| spl0_238 ),
inference(sat_conversion,[],[f24192]) ).
cnf(s2079,plain,
( ~ spl0_26
| spl0_93
| spl0_102 ),
inference(sat_conversion,[],[f24193]) ).
cnf(s2080,plain,
( ~ spl0_26
| ~ spl0_48
| spl0_102
| ~ spl0_112 ),
inference(sat_conversion,[],[f24194]) ).
cnf(s2081,plain,
( ~ spl0_40
| spl0_280 ),
inference(sat_conversion,[],[f24207]) ).
cnf(s2083,plain,
( ~ spl0_106
| spl0_281 ),
inference(sat_conversion,[],[f24212]) ).
cnf(s2090,plain,
( spl0_214
| spl0_222
| spl0_265 ),
inference(sat_conversion,[],[f24333]) ).
cnf(s2096,plain,
( ~ spl0_52
| ~ spl0_127
| ~ spl0_130 ),
inference(sat_conversion,[],[f24447]) ).
cnf(s2097,plain,
( ~ spl0_7
| ~ spl0_127
| ~ spl0_137 ),
inference(sat_conversion,[],[f24449]) ).
cnf(s2098,plain,
( ~ spl0_73
| spl0_98
| ~ spl0_99
| spl0_127 ),
inference(sat_conversion,[],[f24450]) ).
cnf(s2101,plain,
( ~ spl0_48
| spl0_79
| ~ spl0_86
| spl0_128
| ~ spl0_153 ),
inference(sat_conversion,[],[f24663]) ).
cnf(s2102,plain,
( ~ spl0_48
| spl0_79
| spl0_128
| ~ spl0_130
| ~ spl0_153 ),
inference(sat_conversion,[],[f24686]) ).
cnf(s2104,plain,
( ~ spl0_29
| ~ spl0_111
| ~ spl0_192
| spl0_204 ),
inference(sat_conversion,[],[f24836]) ).
cnf(s2105,plain,
( ~ spl0_29
| ~ spl0_172
| ~ spl0_195
| spl0_204 ),
inference(sat_conversion,[],[f24837]) ).
cnf(s2106,plain,
( ~ spl0_7
| ~ spl0_29
| spl0_79
| ~ spl0_137 ),
inference(sat_conversion,[],[f24838]) ).
cnf(s2107,plain,
( ~ spl0_29
| ~ spl0_74
| spl0_79
| ~ spl0_111 ),
inference(sat_conversion,[],[f24839]) ).
cnf(s2108,plain,
( spl0_71
| spl0_72
| spl0_110 ),
inference(sat_conversion,[],[f24840]) ).
cnf(s2109,plain,
( spl0_9
| ~ spl0_14
| spl0_52
| ~ spl0_165 ),
inference(sat_conversion,[],[f24841]) ).
cnf(s2110,plain,
( spl0_9
| ~ spl0_17
| spl0_93
| ~ spl0_261 ),
inference(sat_conversion,[],[f24842]) ).
cnf(s2114,plain,
( ~ spl0_25
| spl0_52
| spl0_53
| spl0_54
| spl0_57 ),
inference(sat_conversion,[],[f24889]) ).
cnf(s2115,plain,
( spl0_16
| ~ spl0_25
| spl0_52
| spl0_57 ),
inference(sat_conversion,[],[f24890]) ).
cnf(s2128,plain,
( spl0_87
| spl0_112
| spl0_113 ),
inference(sat_conversion,[],[f24961]) ).
cnf(s2132,plain,
( ~ spl0_44
| ~ spl0_90
| spl0_130 ),
inference(sat_conversion,[],[f25086]) ).
cnf(s2134,plain,
( ~ spl0_29
| ~ spl0_31
| spl0_79
| ~ spl0_105 ),
inference(sat_conversion,[],[f25121]) ).
cnf(s2136,plain,
( ~ spl0_31
| ~ spl0_105
| ~ spl0_127 ),
inference(sat_conversion,[],[f25124]) ).
cnf(s2138,plain,
( ~ spl0_71
| spl0_79
| ~ spl0_136
| ~ spl0_261 ),
inference(sat_conversion,[],[f25200]) ).
cnf(s2147,plain,
( spl0_76
| ~ spl0_189
| spl0_209
| ~ spl0_210 ),
inference(sat_conversion,[],[f25342]) ).
cnf(s2151,plain,
( ~ spl0_73
| ~ spl0_90
| ~ spl0_133 ),
inference(sat_conversion,[],[f25406]) ).
cnf(s2157,plain,
( ~ spl0_194
| spl0_225
| spl0_226
| ~ spl0_227 ),
inference(sat_conversion,[],[f25536]) ).
cnf(s2159,plain,
( ~ spl0_86
| ~ spl0_105
| ~ spl0_280 ),
inference(sat_conversion,[],[f25571]) ).
cnf(s2160,plain,
( ~ spl0_74
| ~ spl0_112
| ~ spl0_130 ),
inference(sat_conversion,[],[f25597]) ).
cnf(s2162,plain,
( ~ spl0_74
| ~ spl0_93
| ~ spl0_127 ),
inference(sat_conversion,[],[f25641]) ).
cnf(s2163,plain,
( ~ spl0_93
| ~ spl0_192
| ~ spl0_217 ),
inference(sat_conversion,[],[f25660]) ).
cnf(s2164,plain,
( spl0_170
| ~ spl0_171
| ~ spl0_194
| spl0_217 ),
inference(sat_conversion,[],[f25661]) ).
cnf(s2165,plain,
( ~ spl0_170
| ~ spl0_197
| ~ spl0_219 ),
inference(sat_conversion,[],[f25680]) ).
cnf(s2166,plain,
( ~ spl0_20
| ~ spl0_170
| spl0_224 ),
inference(sat_conversion,[],[f25681]) ).
cnf(s2167,plain,
( spl0_170
| ~ spl0_173
| ~ spl0_194
| spl0_217 ),
inference(sat_conversion,[],[f25741]) ).
cnf(s2170,plain,
( spl0_16
| spl0_241
| spl0_285 ),
inference(sat_conversion,[],[f25783]) ).
cnf(s2172,plain,
( spl0_113
| spl0_241
| spl0_285 ),
inference(sat_conversion,[],[f25785]) ).
cnf(s2174,plain,
( ~ spl0_189
| ~ spl0_197
| spl0_202
| ~ spl0_286 ),
inference(sat_conversion,[],[f25827]) ).
cnf(s2175,plain,
( spl0_113
| spl0_283
| spl0_286 ),
inference(sat_conversion,[],[f25836]) ).
cnf(s2179,plain,
( ~ spl0_74
| ~ spl0_96
| ~ spl0_111 ),
inference(sat_conversion,[],[f25840]) ).
cnf(s2180,plain,
( ~ spl0_194
| spl0_232
| ~ spl0_233
| spl0_234 ),
inference(sat_conversion,[],[f25841]) ).
cnf(s2181,plain,
( ~ spl0_194
| ~ spl0_222
| spl0_229
| spl0_266 ),
inference(sat_conversion,[],[f25842]) ).
cnf(s2182,plain,
( ~ spl0_99
| ~ spl0_189
| spl0_207
| spl0_212 ),
inference(sat_conversion,[],[f25843]) ).
cnf(s2183,plain,
( ~ spl0_194
| spl0_232
| spl0_234
| ~ spl0_254 ),
inference(sat_conversion,[],[f25844]) ).
cnf(s2184,plain,
( ~ spl0_194
| spl0_225
| spl0_226
| ~ spl0_255 ),
inference(sat_conversion,[],[f25845]) ).
cnf(s2186,plain,
( ~ spl0_71
| spl0_92
| spl0_96
| ~ spl0_99 ),
inference(sat_conversion,[],[f25847]) ).
cnf(s2189,plain,
( spl0_95
| spl0_110
| spl0_111 ),
inference(sat_conversion,[],[f25867]) ).
cnf(s2200,plain,
( spl0_172
| ~ spl0_194
| ~ spl0_219
| spl0_229 ),
inference(sat_conversion,[],[f26005]) ).
cnf(s2211,plain,
( ~ spl0_71
| spl0_105
| ~ spl0_262 ),
inference(sat_conversion,[],[f26016]) ).
cnf(s2214,plain,
( ~ spl0_71
| spl0_89
| spl0_135
| ~ spl0_163 ),
inference(sat_conversion,[],[f26021]) ).
cnf(s2216,plain,
( ~ spl0_29
| spl0_40
| spl0_48 ),
inference(sat_conversion,[],[f26023]) ).
cnf(s2219,plain,
( ~ spl0_52
| ~ spl0_84
| ~ spl0_93 ),
inference(sat_conversion,[],[f26026]) ).
cnf(s2221,plain,
( ~ spl0_71
| spl0_90
| spl0_105
| ~ spl0_147 ),
inference(sat_conversion,[],[f26028]) ).
cnf(s2222,plain,
( ~ spl0_194
| spl0_204
| spl0_260
| ~ spl0_288 ),
inference(sat_conversion,[],[f26032]) ).
cnf(s2225,plain,
( ~ spl0_29
| ~ spl0_52
| spl0_76
| ~ spl0_84 ),
inference(sat_conversion,[],[f26036]) ).
cnf(s2226,plain,
( ~ spl0_29
| spl0_40
| ~ spl0_111
| ~ spl0_112 ),
inference(sat_conversion,[],[f26037]) ).
cnf(s2230,plain,
( ~ spl0_194
| spl0_204
| spl0_208
| spl0_223
| ~ spl0_259 ),
inference(sat_conversion,[],[f26041]) ).
cnf(s2231,plain,
( spl0_40
| ~ spl0_45
| spl0_112
| ~ spl0_198 ),
inference(sat_conversion,[],[f26042]) ).
cnf(s2232,plain,
( spl0_1
| ~ spl0_17
| spl0_77
| ~ spl0_198 ),
inference(sat_conversion,[],[f26043]) ).
cnf(s2259,plain,
( ~ spl0_15
| ~ spl0_29
| spl0_204
| ~ spl0_265 ),
inference(sat_conversion,[],[f26276]) ).
cnf(s2260,plain,
( ~ spl0_29
| ~ spl0_48
| ~ spl0_201
| spl0_204 ),
inference(sat_conversion,[],[f26303]) ).
cnf(s2263,plain,
( ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_76
| ~ spl0_190 ),
inference(sat_conversion,[],[f26430]) ).
cnf(s2264,plain,
( ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_72
| ~ spl0_76 ),
inference(sat_conversion,[],[f26432]) ).
cnf(s2265,plain,
( ~ spl0_7
| ~ spl0_22
| ~ spl0_29
| ~ spl0_196
| ~ spl0_224 ),
inference(sat_conversion,[],[f26434]) ).
cnf(s2274,plain,
( spl0_53
| spl0_292
| spl0_293 ),
inference(sat_conversion,[],[f26884]) ).
cnf(s2275,plain,
( spl0_53
| spl0_294
| spl0_295 ),
inference(sat_conversion,[],[f26892]) ).
cnf(s2280,plain,
( spl0_53
| spl0_77
| ~ spl0_192
| ~ spl0_196
| ~ spl0_254
| spl0_287 ),
inference(sat_conversion,[],[f26943]) ).
cnf(s2282,plain,
( spl0_53
| spl0_112
| ~ spl0_192
| ~ spl0_196
| ~ spl0_255
| spl0_287 ),
inference(sat_conversion,[],[f26945]) ).
cnf(s2284,plain,
( ~ spl0_7
| ~ spl0_29
| spl0_204
| ~ spl0_232 ),
inference(sat_conversion,[],[f26966]) ).
cnf(s2287,plain,
( spl0_211
| spl0_213
| spl0_217 ),
inference(sat_conversion,[],[f26995]) ).
cnf(s2291,plain,
( spl0_53
| spl0_93
| spl0_170
| ~ spl0_171
| ~ spl0_190
| ~ spl0_195 ),
inference(sat_conversion,[],[f27050]) ).
cnf(s2295,plain,
( spl0_53
| ~ spl0_95
| spl0_172
| ~ spl0_190
| ~ spl0_195
| spl0_287 ),
inference(sat_conversion,[],[f27054]) ).
cnf(s2298,plain,
( spl0_111
| ~ spl0_173
| ~ spl0_286
| spl0_287 ),
inference(sat_conversion,[],[f27102]) ).
cnf(s2299,plain,
( ~ spl0_142
| spl0_143
| spl0_239
| ~ spl0_286 ),
inference(sat_conversion,[],[f27103]) ).
cnf(s2300,plain,
( spl0_98
| ~ spl0_99
| spl0_174
| ~ spl0_286 ),
inference(sat_conversion,[],[f27104]) ).
cnf(s2301,plain,
( spl0_77
| ~ spl0_254
| ~ spl0_286
| spl0_287 ),
inference(sat_conversion,[],[f27105]) ).
cnf(s2302,plain,
( spl0_112
| ~ spl0_255
| ~ spl0_286
| spl0_287 ),
inference(sat_conversion,[],[f27106]) ).
cnf(s2303,plain,
( spl0_162
| ~ spl0_163
| spl0_238
| ~ spl0_286 ),
inference(sat_conversion,[],[f27107]) ).
cnf(s2308,plain,
( ~ spl0_106
| ~ spl0_223
| ~ spl0_283 ),
inference(sat_conversion,[],[f27128]) ).
cnf(s2309,plain,
( spl0_223
| spl0_288 ),
inference(sat_conversion,[],[f27130]) ).
cnf(s2315,plain,
( spl0_93
| spl0_99
| spl0_110 ),
inference(sat_conversion,[],[f27154]) ).
cnf(s2317,plain,
( spl0_131
| spl0_171
| spl0_174 ),
inference(sat_conversion,[],[f27173]) ).
cnf(s2321,plain,
( spl0_107
| spl0_136
| spl0_137 ),
inference(sat_conversion,[],[f27188]) ).
cnf(s2324,plain,
( ~ spl0_106
| ~ spl0_224
| ~ spl0_283 ),
inference(sat_conversion,[],[f27201]) ).
cnf(s2329,plain,
( spl0_224
| ~ spl0_233
| ~ spl0_261
| ~ spl0_285 ),
inference(sat_conversion,[],[f27260]) ).
cnf(s2338,plain,
( ~ spl0_93
| ~ spl0_172
| ~ spl0_241 ),
inference(sat_conversion,[],[f27291]) ).
cnf(s2349,plain,
( ~ spl0_71
| spl0_85
| spl0_86
| ~ spl0_87 ),
inference(sat_conversion,[],[f27389]) ).
cnf(s2361,plain,
( spl0_112
| ~ spl0_191
| spl0_202
| ~ spl0_218 ),
inference(sat_conversion,[],[f27526]) ).
cnf(s2364,plain,
( spl0_127
| spl0_170
| ~ spl0_171
| ~ spl0_292 ),
inference(sat_conversion,[],[f27568]) ).
cnf(s2365,plain,
( ~ spl0_135
| ~ spl0_254
| ~ spl0_292 ),
inference(sat_conversion,[],[f27569]) ).
cnf(s2366,plain,
( spl0_79
| ~ spl0_259
| spl0_260
| ~ spl0_292 ),
inference(sat_conversion,[],[f27570]) ).
cnf(s2371,plain,
( spl0_79
| spl0_105
| spl0_223
| ~ spl0_259
| ~ spl0_292 ),
inference(sat_conversion,[],[f27587]) ).
cnf(s2372,plain,
( spl0_90
| ~ spl0_91
| spl0_224
| ~ spl0_295 ),
inference(sat_conversion,[],[f27624]) ).
cnf(s2379,plain,
( spl0_92
| ~ spl0_94
| spl0_174
| ~ spl0_295 ),
inference(sat_conversion,[],[f27647]) ).
cnf(s2381,plain,
( ~ spl0_91
| spl0_105
| spl0_223
| spl0_224
| ~ spl0_295 ),
inference(sat_conversion,[],[f27650]) ).
cnf(s2382,plain,
( ~ spl0_96
| ~ spl0_172
| ~ spl0_294 ),
inference(sat_conversion,[],[f27658]) ).
cnf(s2384,plain,
( ~ spl0_14
| spl0_127
| ~ spl0_135 ),
inference(sat_conversion,[],[f27660]) ).
cnf(s2385,plain,
( ~ spl0_137
| ~ spl0_266
| ~ spl0_293 ),
inference(sat_conversion,[],[f27661]) ).
cnf(s2386,plain,
( ~ spl0_71
| spl0_85
| ~ spl0_88
| spl0_89 ),
inference(sat_conversion,[],[f27662]) ).
cnf(s2395,plain,
( ~ spl0_96
| ~ spl0_174
| ~ spl0_294 ),
inference(sat_conversion,[],[f27716]) ).
cnf(s2397,plain,
( spl0_126
| spl0_233
| spl0_238 ),
inference(sat_conversion,[],[f27724]) ).
cnf(s2407,plain,
( ~ spl0_89
| ~ spl0_238
| ~ spl0_294 ),
inference(sat_conversion,[],[f27782]) ).
cnf(s2408,plain,
( spl0_14
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f27789]) ).
cnf(s2417,plain,
( ~ spl0_52
| ~ spl0_96
| ~ spl0_130 ),
inference(sat_conversion,[],[f27856]) ).
cnf(s2426,plain,
( ~ spl0_88
| ~ spl0_189
| spl0_202
| spl0_265 ),
inference(sat_conversion,[],[f27964]) ).
cnf(s2427,plain,
( ~ spl0_95
| ~ spl0_189
| spl0_202
| spl0_207 ),
inference(sat_conversion,[],[f27966]) ).
cnf(s2428,plain,
( ~ spl0_86
| ~ spl0_239
| ~ spl0_294 ),
inference(sat_conversion,[],[f27984]) ).
cnf(s2429,plain,
( ~ spl0_87
| ~ spl0_189
| spl0_201
| spl0_202 ),
inference(sat_conversion,[],[f27985]) ).
cnf(s2451,plain,
( ~ spl0_74
| ~ spl0_241
| ~ spl0_293 ),
inference(sat_conversion,[],[f28257]) ).
cnf(s2454,plain,
( spl0_84
| spl0_225
| ~ spl0_227
| ~ spl0_285 ),
inference(sat_conversion,[],[f28297]) ).
cnf(s2455,plain,
( ~ spl0_88
| spl0_266
| ~ spl0_285
| spl0_287 ),
inference(sat_conversion,[],[f28298]) ).
cnf(s2456,plain,
( ~ spl0_87
| spl0_230
| ~ spl0_285
| spl0_287 ),
inference(sat_conversion,[],[f28299]) ).
cnf(s2457,plain,
( ~ spl0_95
| spl0_172
| ~ spl0_285
| spl0_287 ),
inference(sat_conversion,[],[f28300]) ).
cnf(s2458,plain,
( spl0_102
| ~ spl0_233
| spl0_234
| ~ spl0_285 ),
inference(sat_conversion,[],[f28301]) ).
cnf(s2462,plain,
( ~ spl0_74
| ~ spl0_283
| ~ spl0_293 ),
inference(sat_conversion,[],[f28391]) ).
cnf(s2463,plain,
( ~ spl0_137
| ~ spl0_238
| ~ spl0_293 ),
inference(sat_conversion,[],[f28393]) ).
cnf(s2464,plain,
( ~ spl0_130
| ~ spl0_239
| ~ spl0_293 ),
inference(sat_conversion,[],[f28395]) ).
cnf(s2465,plain,
( spl0_76
| ~ spl0_259
| spl0_260
| ~ spl0_285 ),
inference(sat_conversion,[],[f28396]) ).
cnf(s2467,plain,
( ~ spl0_71
| spl0_85
| ~ spl0_95
| spl0_96 ),
inference(sat_conversion,[],[f28401]) ).
cnf(s2468,plain,
( spl0_106
| ~ spl0_191
| spl0_202
| ~ spl0_231 ),
inference(sat_conversion,[],[f28403]) ).
cnf(s2469,plain,
( ~ spl0_71
| spl0_76
| spl0_90
| ~ spl0_91 ),
inference(sat_conversion,[],[f28404]) ).
cnf(s2470,plain,
( ~ spl0_61
| spl0_224
| ~ spl0_225 ),
inference(sat_conversion,[],[f28405]) ).
cnf(s2471,plain,
( ~ spl0_147
| spl0_168
| ~ spl0_191
| spl0_204 ),
inference(sat_conversion,[],[f28406]) ).
cnf(s2472,plain,
( ~ spl0_20
| ~ spl0_44
| spl0_52
| spl0_53
| spl0_183 ),
inference(sat_conversion,[],[f28407]) ).
cnf(s2473,plain,
( ~ spl0_163
| spl0_238
| ~ spl0_287 ),
inference(sat_conversion,[],[f28408]) ).
cnf(s2474,plain,
( ~ spl0_142
| spl0_143
| ~ spl0_191
| spl0_226 ),
inference(sat_conversion,[],[f28409]) ).
cnf(s2476,plain,
( ~ spl0_56
| ~ spl0_234
| spl0_239 ),
inference(sat_conversion,[],[f28411]) ).
cnf(s2477,plain,
( spl0_162
| ~ spl0_163
| ~ spl0_191
| spl0_232 ),
inference(sat_conversion,[],[f28412]) ).
cnf(s2479,plain,
( ~ spl0_142
| spl0_239
| ~ spl0_287 ),
inference(sat_conversion,[],[f28417]) ).
cnf(s2480,plain,
( ~ spl0_14
| spl0_174
| ~ spl0_234 ),
inference(sat_conversion,[],[f28418]) ).
cnf(s2481,plain,
( ~ spl0_61
| spl0_79
| ~ spl0_82 ),
inference(sat_conversion,[],[f28419]) ).
cnf(s2482,plain,
( ~ spl0_71
| spl0_102
| spl0_135
| ~ spl0_136 ),
inference(sat_conversion,[],[f28420]) ).
cnf(s2486,plain,
( ~ spl0_71
| spl0_85
| spl0_105
| ~ spl0_133 ),
inference(sat_conversion,[],[f28424]) ).
cnf(s2487,plain,
( ~ spl0_58
| ~ spl0_82
| spl0_137 ),
inference(sat_conversion,[],[f28425]) ).
cnf(s2488,plain,
( ~ spl0_58
| ~ spl0_225
| spl0_238 ),
inference(sat_conversion,[],[f28426]) ).
cnf(s2489,plain,
( ~ spl0_147
| spl0_224
| ~ spl0_287 ),
inference(sat_conversion,[],[f28427]) ).
cnf(s2491,plain,
( ~ spl0_71
| spl0_76
| ~ spl0_91
| spl0_105
| spl0_106 ),
inference(sat_conversion,[],[f28430]) ).
cnf(s2492,plain,
( spl0_106
| ~ spl0_147
| ~ spl0_191
| spl0_204
| spl0_208 ),
inference(sat_conversion,[],[f28431]) ).
cnf(s2493,plain,
( spl0_76
| spl0_106
| spl0_223
| ~ spl0_259
| ~ spl0_285 ),
inference(sat_conversion,[],[f28432]) ).
cnf(s2500,plain,
( spl0_45
| spl0_52
| spl0_53 ),
inference(sat_conversion,[],[f28482]) ).
cnf(s2506,plain,
( ~ spl0_102
| ~ spl0_238
| ~ spl0_283 ),
inference(sat_conversion,[],[f28547]) ).
cnf(s2524,plain,
( ~ spl0_147
| spl0_168
| spl0_224
| ~ spl0_286 ),
inference(sat_conversion,[],[f28689]) ).
cnf(s2526,plain,
( spl0_106
| ~ spl0_286
| spl0_287
| ~ spl0_288 ),
inference(sat_conversion,[],[f28692]) ).
cnf(s2527,plain,
( spl0_106
| ~ spl0_147
| spl0_223
| spl0_224
| ~ spl0_286 ),
inference(sat_conversion,[],[f28694]) ).
cnf(s2528,plain,
( ~ spl0_71
| spl0_82
| ~ spl0_83
| spl0_84 ),
inference(sat_conversion,[],[f28695]) ).
cnf(s2539,plain,
( ~ spl0_23
| ~ spl0_102
| ~ spl0_281 ),
inference(sat_conversion,[],[f28775]) ).
cnf(s2550,plain,
( spl0_89
| spl0_105
| ~ spl0_180 ),
inference(sat_conversion,[],[f28851]) ).
cnf(s2551,plain,
( ~ spl0_9
| ~ spl0_52
| spl0_57
| ~ spl0_180 ),
inference(sat_conversion,[],[f28853]) ).
cnf(s2552,plain,
( ~ spl0_180
| spl0_223
| spl0_266 ),
inference(sat_conversion,[],[f28855]) ).
cnf(s2562,plain,
( spl0_126
| spl0_254
| spl0_266 ),
inference(sat_conversion,[],[f28900]) ).
cnf(s2566,plain,
( spl0_227
| spl0_239
| spl0_240 ),
inference(sat_conversion,[],[f28918]) ).
cnf(s2570,plain,
( ~ spl0_38
| ~ spl0_230
| ~ spl0_266 ),
inference(sat_conversion,[],[f28925]) ).
cnf(s2572,plain,
( ~ spl0_57
| ~ spl0_230
| ~ spl0_266 ),
inference(sat_conversion,[],[f28935]) ).
cnf(s2574,plain,
( ~ spl0_31
| ~ spl0_174
| ~ spl0_224 ),
inference(sat_conversion,[],[f29024]) ).
cnf(s2576,plain,
( spl0_16
| spl0_45
| spl0_52 ),
inference(sat_conversion,[],[f29049]) ).
cnf(s2585,plain,
( spl0_16
| spl0_241
| spl0_285 ),
inference(sat_conversion,[],[f29136]) ).
cnf(s2587,plain,
( spl0_113
| spl0_241
| spl0_285 ),
inference(sat_conversion,[],[f29139]) ).
cnf(s2589,plain,
( spl0_16
| spl0_283
| spl0_286 ),
inference(sat_conversion,[],[f29148]) ).
cnf(s2591,plain,
( spl0_113
| spl0_283
| spl0_286 ),
inference(sat_conversion,[],[f29151]) ).
cnf(s2593,plain,
( ~ spl0_9
| ~ spl0_76
| ~ spl0_111 ),
inference(sat_conversion,[],[f29167]) ).
cnf(s2602,plain,
( spl0_83
| spl0_130
| spl0_131 ),
inference(sat_conversion,[],[f29269]) ).
cnf(s2607,plain,
( ~ spl0_71
| spl0_85
| ~ spl0_88
| spl0_89 ),
inference(sat_conversion,[],[f29335]) ).
cnf(s2608,plain,
( ~ spl0_17
| ~ spl0_170
| spl0_238 ),
inference(sat_conversion,[],[f29369]) ).
cnf(s2609,plain,
( ~ spl0_9
| ~ spl0_174
| ~ spl0_224 ),
inference(sat_conversion,[],[f29389]) ).
cnf(s2610,plain,
( ~ spl0_111
| ~ spl0_174
| ~ spl0_283 ),
inference(sat_conversion,[],[f29391]) ).
cnf(s2613,plain,
( spl0_230
| spl0_255 ),
inference(rat,[],[s1485,s1519]) ).
cnf(s2618,plain,
( ~ spl0_28
| ~ spl0_111
| spl0_223
| ~ spl0_241 ),
inference(rat,[],[s1304,s1333]) ).
cnf(s2623,plain,
( spl0_171
| spl0_174 ),
inference(rat,[],[s1278,s1333]) ).
cnf(s2639,plain,
( ~ spl0_28
| ~ spl0_52
| spl0_223
| ~ spl0_239 ),
inference(rat,[],[s1131,s1333]) ).
cnf(s2651,plain,
( spl0_227
| spl0_239 ),
inference(rat,[],[s1073,s1519]) ).
cnf(s2653,plain,
( spl0_233
| spl0_238 ),
inference(rat,[],[s1067,s1401]) ).
cnf(s2667,plain,
( spl0_7
| spl0_9
| ~ spl0_181 ),
inference(rat,[],[s867,s910]) ).
cnf(s2675,plain,
( ~ spl0_21
| spl0_31
| spl0_104
| spl0_106
| ~ spl0_111 ),
inference(rat,[],[s699,s910]) ).
cnf(s2702,plain,
( ~ spl0_32
| ~ spl0_57 ),
inference(rat,[],[s478,s495]) ).
cnf(s2711,plain,
( ~ spl0_21
| spl0_50
| ~ spl0_52
| spl0_54
| ~ spl0_93
| ~ spl0_106 ),
inference(rat,[],[s420,s910]) ).
cnf(s2725,plain,
( spl0_96
| spl0_138 ),
inference(rat,[],[s324,s1401]) ).
cnf(s2727,plain,
( spl0_84
| spl0_142 ),
inference(rat,[],[s310,s910]) ).
cnf(s2734,plain,
( spl0_83
| spl0_130 ),
inference(rat,[],[s276,s347]) ).
cnf(s2738,plain,
( ~ spl0_21
| spl0_50
| spl0_54
| spl0_106
| ~ spl0_112 ),
inference(rat,[],[s248,s347]) ).
cnf(s2750,plain,
( ~ spl0_21
| ~ spl0_72
| spl0_105
| spl0_106 ),
inference(rat,[],[s172,s211,s347]) ).
cnf(s2760,plain,
( spl0_73
| spl0_74 ),
inference(rat,[],[s107,s138]) ).
cnf(s2761,plain,
( spl0_71
| spl0_72 ),
inference(rat,[],[s106,s138]) ).
cnf(s2762,plain,
( spl0_48
| spl0_62 ),
inference(rat,[],[s98,s910]) ).
cnf(s2763,plain,
( spl0_48
| spl0_62 ),
inference(rat,[],[s96,s495]) ).
cnf(s2764,plain,
( spl0_56
| spl0_57 ),
inference(rat,[],[s83,s138]) ).
cnf(s2766,plain,
( ~ spl0_15
| ~ spl0_21
| ~ spl0_48
| spl0_50 ),
inference(rat,[],[s75,s138]) ).
cnf(s2771,plain,
( spl0_45
| spl0_52 ),
inference(rat,[],[s67,s910]) ).
cnf(s2773,plain,
( spl0_15
| ~ spl0_21
| spl0_31 ),
inference(rat,[],[s45,s910]) ).
cnf(s2775,plain,
( spl0_7
| spl0_17 ),
inference(rat,[],[s17,s910]) ).
cnf(s2776,plain,
( spl0_14
| spl0_15 ),
inference(rat,[],[s10,s910]) ).
cnf(s2777,plain,
( ~ spl0_105
| ~ spl0_31
| ~ spl0_26
| ~ spl0_23 ),
inference(rat,[],[s2076,s476]) ).
cnf(s2778,plain,
( ~ spl0_72
| spl0_105
| ~ spl0_31
| ~ spl0_21
| ~ spl0_26 ),
inference(rat,[],[s2079,s320,s403,s2750,s2550,s1874]) ).
cnf(s2779,plain,
( ~ spl0_76
| ~ spl0_31
| ~ spl0_26
| ~ spl0_23 ),
inference(rat,[],[s2079,s2539,s808,s2008]) ).
cnf(s2780,plain,
( ~ spl0_31
| ~ spl0_21
| ~ spl0_26
| ~ spl0_23
| ~ spl0_2 ),
inference(rat,[],[s1817,s472,s604,s1435,s327,s108,s535,s2779,s828,s2108,s2778,s178,s2777,s737]) ).
cnf(s2781,plain,
( spl0_106
| spl0_31
| ~ spl0_21
| ~ spl0_20
| ~ spl0_23 ),
inference(rat,[],[s1457,s1361,s700,s2675,s291,s2773,s737,s347]) ).
cnf(s2782,plain,
( ~ spl0_105
| ~ spl0_88
| ~ spl0_261
| ~ spl0_106
| ~ spl0_23 ),
inference(rat,[],[s506,s1435,s325,s2138,s2482,s2108,s455,s295,s476,s990,s737]) ).
cnf(s2783,plain,
( spl0_9
| spl0_7
| ~ spl0_23
| spl0_1 ),
inference(rat,[],[s579,s2766,s594,s1824,s356,s1435,s2128,s151,s157,s569,s663,s459,s934,s33,s49,s591,s2550,s2782,s176,s319,s2079,s1359,s990,s2781,s2773,s34,s2780,s1874,s774,s25,s866,s47,s19,s4,s1,s2775,s737,s367,s138,s270,s347]) ).
cnf(s2784,plain,
( ~ spl0_111
| ~ spl0_20
| ~ spl0_74
| spl0_79
| ~ spl0_72
| spl0_105 ),
inference(rat,[],[s27,s1171,s2107,s887]) ).
cnf(s2785,plain,
( spl0_38
| ~ spl0_22
| ~ spl0_26
| ~ spl0_9 ),
inference(rat,[],[s166,s1785]) ).
cnf(s2787,plain,
( ~ spl0_174
| ~ spl0_52
| ~ spl0_42
| ~ spl0_9 ),
inference(rat,[],[s1550,s2609,s1519]) ).
cnf(s2788,plain,
( ~ spl0_238
| ~ spl0_102
| spl0_168
| ~ spl0_147
| ~ spl0_23 ),
inference(rat,[],[s2524,s2591,s1454,s2506,s367]) ).
cnf(s2789,plain,
( spl0_79
| ~ spl0_283
| ~ spl0_259
| spl0_223
| spl0_106
| ~ spl0_147
| spl0_105 ),
inference(rat,[],[s2462,s2274,s2371,s1435,s817,s495,s737]) ).
cnf(s2790,plain,
( ~ spl0_102
| spl0_168
| spl0_262
| ~ spl0_38
| ~ spl0_147
| ~ spl0_26
| ~ spl0_9
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s1008,s2610,s2231,s2589,s2500,s2524,s2787,s2609,s1265,s2788,s60,s1766,s250,s1362,s291,s990,s443,s65,s464,s737,s910,s495,s347]) ).
cnf(s2791,plain,
( ~ spl0_174
| spl0_79
| spl0_106
| spl0_168
| ~ spl0_147
| spl0_105
| ~ spl0_31
| ~ spl0_9 ),
inference(rat,[],[s2589,s2789,s2524,s1288,s1704,s2609,s910]) ).
cnf(s2792,plain,
( ~ spl0_238
| ~ spl0_69
| ~ spl0_38
| ~ spl0_23 ),
inference(rat,[],[s1583,s1739,s1454]) ).
cnf(s2793,plain,
( ~ spl0_31
| ~ spl0_26
| ~ spl0_9
| ~ spl0_23
| spl0_1 ),
inference(rat,[],[s1817,s472,s2791,s1265,s2792,s446,s249,s1763,s1362,s291,s320,s2079,s2790,s824,s94,s1688,s65,s443,s464,s964,s2785,s774,s535,s2780,s2779,s2777,s4,s1,s367,s347]) ).
cnf(s2794,plain,
( ~ spl0_102
| ~ spl0_38
| ~ spl0_26
| ~ spl0_9
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s2790,s535,s824,s1688,s2008,s815,s2539,s65,s464]) ).
cnf(s2795,plain,
( ~ spl0_22
| spl0_106
| ~ spl0_26
| ~ spl0_9
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s1008,s2231,s2610,s2500,s2589,s2787,s2303,s1265,s2792,s60,s446,s1766,s249,s250,s1763,s1362,s1688,s964,s535,s786,s539,s2079,s450,s2794,s94,s65,s443,s464,s2785,s291,s737,s495,s910,s367,s347]) ).
cnf(s2796,plain,
( spl0_105
| ~ spl0_99
| ~ spl0_15
| ~ spl0_21
| spl0_106 ),
inference(rat,[],[s2486,s1353,s2108,s274,s2750,s291,s737]) ).
cnf(s2797,plain,
( spl0_106
| spl0_31
| ~ spl0_26
| ~ spl0_9
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s934,s1148,s33,s2079,s1163,s700,s2675,s2773,s1874,s774,s2795,s34,s737,s347]) ).
cnf(s2798,plain,
( ~ spl0_174
| ~ spl0_52
| spl0_168
| ~ spl0_61
| ~ spl0_44
| ~ spl0_147
| ~ spl0_106
| ~ spl0_11
| ~ spl0_9 ),
inference(rat,[],[s1588,s1587,s2308,s446,s2589,s1583,s60,s2524,s1846,s2787,s2609,s910]) ).
cnf(s2799,plain,
( ~ spl0_26
| spl0_7
| ~ spl0_23
| spl0_1 ),
inference(rat,[],[s173,s446,s1767,s2792,s1918,s1343,s1265,s2798,s2576,s824,s2231,s94,s65,s964,s250,s443,s464,s2785,s774,s2773,s319,s2232,s1008,s535,s539,s2079,s377,s990,s2797,s34,s2793,s4,s2775,s2783,s910,s737]) ).
cnf(s2800,plain,
( ~ spl0_174
| ~ spl0_42
| spl0_112
| spl0_168
| spl0_40
| ~ spl0_147
| ~ spl0_9 ),
inference(rat,[],[s1008,s2610,s2231,s2589,s2500,s2524,s2787,s2609,s737,s910,s495]) ).
cnf(s2801,plain,
( spl0_224
| ~ spl0_52
| ~ spl0_95
| ~ spl0_69
| ~ spl0_77
| ~ spl0_147
| ~ spl0_25 ),
inference(rat,[],[s1842,s2585,s2057,s2457,s1843,s1583,s2489,s910,s1401,s1333]) ).
cnf(s2802,plain,
( ~ spl0_190
| spl0_93
| spl0_234
| ~ spl0_171
| spl0_170
| ~ spl0_233
| ~ spl0_102 ),
inference(rat,[],[s1006,s2180,s2291,s1266,s737,s495]) ).
cnf(s2803,plain,
( ~ spl0_195
| ~ spl0_266
| ~ spl0_224
| ~ spl0_22 ),
inference(rat,[],[s1623,s2043]) ).
cnf(s2804,plain,
( ~ spl0_224
| ~ spl0_189
| spl0_234
| ~ spl0_233
| ~ spl0_77
| ~ spl0_133
| ~ spl0_22
| ~ spl0_25
| ~ spl0_9
| ~ spl0_23 ),
inference(rat,[],[s2028,s1267,s1092,s2180,s1006,s2803,s1842,s2057,s1994,s910,s737,s1401,s1333]) ).
cnf(s2805,plain,
( spl0_111
| spl0_224
| ~ spl0_69
| spl0_112
| ~ spl0_77
| spl0_40
| ~ spl0_147
| ~ spl0_25 ),
inference(rat,[],[s2500,s2231,s2801,s1008,s2189,s495,s737]) ).
cnf(s2806,plain,
( ~ spl0_266
| ~ spl0_259
| ~ spl0_77
| spl0_76
| spl0_106
| ~ spl0_23 ),
inference(rat,[],[s2587,s2493,s1842,s1478,s367]) ).
cnf(s2807,plain,
( spl0_224
| ~ spl0_69
| spl0_112
| ~ spl0_77
| spl0_40
| spl0_76
| spl0_106
| ~ spl0_25
| ~ spl0_9
| ~ spl0_23 ),
inference(rat,[],[s2587,s2493,s1291,s1408,s2057,s2806,s2805,s1288,s535,s367,s1401,s1333]) ).
cnf(s2808,plain,
( ~ spl0_38
| ~ spl0_102
| ~ spl0_14
| spl0_106
| ~ spl0_22
| ~ spl0_25
| ~ spl0_9
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s2180,s1006,s1266,s2803,s1003,s2057,s2804,s1994,s2807,s2480,s2800,s60,s446,s1766,s249,s2397,s250,s1763,s2788,s1362,s824,s1688,s94,s65,s815,s443,s464,s291,s535,s2008,s2539,s737,s347,s1401,s1333,s367]) ).
cnf(s2809,plain,
( ~ spl0_224
| ~ spl0_67
| ~ spl0_40
| ~ spl0_31 ),
inference(rat,[],[s1775,s2574,s1433]) ).
cnf(s2810,plain,
( ~ spl0_102
| ~ spl0_31
| spl0_106
| ~ spl0_22
| ~ spl0_25
| ~ spl0_9
| spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s2493,s2587,s1408,s2338,s2057,s2806,s1288,s2809,s1362,s1688,s1774,s714,s965,s102,s2114,s2762,s853,s1453,s1785,s1792,s2808,s2008,s2539,s291,s2408,s52,s367,s1401,s1333,s347,s495,s138,s910]) ).
cnf(s2811,plain,
( ~ spl0_224
| ~ spl0_147
| spl0_102
| ~ spl0_31
| spl0_106
| ~ spl0_22
| ~ spl0_25
| ~ spl0_9
| ~ spl0_17
| ~ spl0_23 ),
inference(rat,[],[s1004,s2492,s1267,s1290,s1733,s2058,s2180,s2167,s1842,s1006,s2585,s2803,s2458,s2057,s1483,s2480,s2608,s2397,s1994,s2574,s1454,s2408,s52,s347,s737,s910,s1401,s1333]) ).
cnf(s2812,plain,
( spl0_40
| spl0_111
| spl0_118
| ~ spl0_77
| ~ spl0_44
| spl0_224
| ~ spl0_147
| ~ spl0_22
| ~ spl0_25 ),
inference(rat,[],[s103,s2805,s249,s1787,s1785]) ).
cnf(s2813,plain,
( ~ spl0_77
| ~ spl0_44
| spl0_224
| spl0_76
| spl0_106
| ~ spl0_22
| ~ spl0_25
| ~ spl0_9
| spl0_7
| ~ spl0_23 ),
inference(rat,[],[s1778,s102,s1792,s2114,s2762,s443,s853,s1453,s2812,s1291,s2338,s2585,s2493,s1408,s2057,s2806,s1763,s535,s1288,s495,s138,s910,s1401,s1333,s367]) ).
cnf(s2814,plain,
( spl0_50
| spl0_224
| spl0_76
| spl0_106
| ~ spl0_22
| ~ spl0_25
| ~ spl0_9
| spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s2114,s965,s1352,s1688,s1362,s2058,s2813,s65,s291,s495,s138,s347,s737]) ).
cnf(s2815,plain,
( ~ spl0_50
| ~ spl0_31
| ~ spl0_25
| ~ spl0_23 ),
inference(rat,[],[s2114,s714,s790,s495,s138]) ).
cnf(s2816,plain,
( spl0_76
| ~ spl0_31
| spl0_106
| ~ spl0_22
| ~ spl0_25
| ~ spl0_9
| spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s2811,s2814,s535,s2775,s2810,s2815]) ).
cnf(s2817,plain,
( ~ spl0_40
| spl0_93
| ~ spl0_76
| ~ spl0_9 ),
inference(rat,[],[s102,s1774,s1781,s2762,s427,s833,s1453,s2593,s737,s367]) ).
cnf(s2818,plain,
( ~ spl0_31
| spl0_106
| ~ spl0_22
| spl0_7
| ~ spl0_23
| spl0_1 ),
inference(rat,[],[s1583,s1843,s1994,s2057,s1842,s2585,s2458,s2480,s2787,s2576,s104,s2397,s1778,s2792,s60,s1794,s103,s1781,s1766,s1834,s249,s1787,s1785,s2817,s1763,s2058,s2593,s808,s2816,s65,s2815,s2810,s2408,s52,s4,s2783,s25,s2799,s2775,s1401,s1333,s910,s138,s737,s367,s347]) ).
cnf(s2819,plain,
( spl0_40
| ~ spl0_29
| ~ spl0_102
| spl0_106
| ~ spl0_22
| ~ spl0_25
| ~ spl0_9
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s2408,s573,s2808,s2216,s1785,s910]) ).
cnf(s2820,plain,
( ~ spl0_224
| ~ spl0_102
| ~ spl0_11
| spl0_106
| ~ spl0_22
| ~ spl0_25
| ~ spl0_9
| spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s102,s1775,s1792,s2762,s1433,s443,s1453,s2819,s33,s1526,s1478,s2057,s1994,s2609,s1333,s1401]) ).
cnf(s2821,plain,
( ~ spl0_50
| ~ spl0_25
| ~ spl0_9
| ~ spl0_23 ),
inference(rat,[],[s2115,s88,s714,s910]) ).
cnf(s2822,plain,
( ~ spl0_102
| ~ spl0_11
| spl0_106
| ~ spl0_22
| ~ spl0_25
| ~ spl0_9
| spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s2814,s2008,s2820,s2539,s2821]) ).
cnf(s2823,plain,
( spl0_40
| spl0_76
| ~ spl0_29
| ~ spl0_266
| ~ spl0_233
| spl0_174
| spl0_102
| ~ spl0_133
| ~ spl0_22
| spl0_50
| ~ spl0_6 ),
inference(rat,[],[s2587,s2458,s1842,s2480,s1362,s2408,s1688,s573,s964,s2216,s1785,s367,s347,s910]) ).
cnf(s2824,plain,
( ~ spl0_40
| ~ spl0_224
| ~ spl0_9
| spl0_7
| ~ spl0_23 ),
inference(rat,[],[s102,s1775,s1792,s2762,s1433,s443,s1453,s2609]) ).
cnf(s2825,plain,
( ~ spl0_224
| spl0_102
| ~ spl0_11
| ~ spl0_133
| ~ spl0_22
| ~ spl0_25
| ~ spl0_9
| spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s2585,s1842,s2457,s2058,s2189,s2593,s2823,s2824,s33,s1526,s1478,s2057,s2473,s2397,s1994,s2609,s1454,s2821,s450,s910,s347,s737,s1333,s1401]) ).
cnf(s2826,plain,
( spl0_106
| ~ spl0_22
| spl0_7
| ~ spl0_23
| spl0_1 ),
inference(rat,[],[s2500,s104,s2787,s1778,s60,s1794,s1781,s1766,s1834,s1616,s1787,s389,s2817,s2058,s1158,s539,s2593,s2814,s2825,s2822,s34,s2818,s291,s4,s65,s2821,s25,s2799,s2775,s2783,s495,s138,s737,s367,s1333,s347]) ).
cnf(s2827,plain,
( ~ spl0_224
| ~ spl0_106
| ~ spl0_9
| ~ spl0_23 ),
inference(rat,[],[s2298,s1483,s2473,s2591,s1994,s1454,s2324,s377,s450,s990,s367,s347]) ).
cnf(s2828,plain,
( spl0_40
| spl0_93
| spl0_76
| spl0_224
| spl0_111
| ~ spl0_106
| ~ spl0_22
| ~ spl0_44
| ~ spl0_25 ),
inference(rat,[],[s2057,s1273,s2570,s1767,s2308,s2762,s2589,s102,s2524,s173,s1774,s824,s446,s1781,s964,s2805,s1787,s1785,s94,s2058,s535,s1401,s1333,s910,s737,s367,s347]) ).
cnf(s2829,plain,
( spl0_93
| spl0_76
| spl0_224
| ~ spl0_106
| ~ spl0_22
| ~ spl0_44
| ~ spl0_25
| ~ spl0_9 ),
inference(rat,[],[s1778,s102,s1781,s2114,s2762,s542,s853,s1453,s2828,s2058,s377,s737,s367,s495,s138,s347]) ).
cnf(s2830,plain,
( spl0_40
| spl0_76
| spl0_224
| ~ spl0_106
| ~ spl0_22
| spl0_50
| ~ spl0_25
| ~ spl0_9 ),
inference(rat,[],[s1559,s1568,s389,s2308,s1616,s2589,s2798,s2524,s173,s2576,s824,s446,s2231,s964,s2805,s1787,s1785,s94,s2058,s1008,s535,s377,s34,s320,s2829,s65,s1333,s910,s737,s347]) ).
cnf(s2831,plain,
( spl0_172
| spl0_287
| spl0_111
| ~ spl0_25 ),
inference(rat,[],[s2585,s1842,s2457,s2057,s2189,s2058,s910,s1401,s1333,s737,s347]) ).
cnf(s2832,plain,
( ~ spl0_204
| spl0_162
| ~ spl0_106
| ~ spl0_23 ),
inference(rat,[],[s1004,s2477,s1907,s1473,s450,s990,s347]) ).
cnf(s2833,plain,
( spl0_76
| ~ spl0_106
| ~ spl0_22
| ~ spl0_25
| ~ spl0_9
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s1474,s2147,s2163,s1003,s1004,s1617,s2471,s1261,s2832,s824,s389,s965,s983,s2114,s853,s2830,s34,s320,s2829,s535,s786,s65,s2821,s2827,s347,s1211,s495,s138]) ).
cnf(s2834,plain,
( ~ spl0_147
| spl0_112
| spl0_40
| spl0_224
| spl0_111
| ~ spl0_25
| ~ spl0_9 ),
inference(rat,[],[s1767,s1935,s173,s2576,s1408,s446,s2231,s2831,s2805,s1008,s2489,s2058,s94,s910,s737,s347]) ).
cnf(s2835,plain,
( spl0_172
| ~ spl0_38
| ~ spl0_61
| ~ spl0_163
| spl0_111
| ~ spl0_25
| ~ spl0_23 ),
inference(rat,[],[s446,s173,s2792,s1767,s2473,s2570,s1478,s2831,s2057,s1401,s1333]) ).
cnf(s2836,plain,
( ~ spl0_52
| spl0_223
| ~ spl0_172
| ~ spl0_61
| spl0_224 ),
inference(rat,[],[s173,s446,s1767,s1583,s1935,s1843]) ).
cnf(s2837,plain,
( ~ spl0_22
| spl0_7
| ~ spl0_23
| spl0_1 ),
inference(rat,[],[s1778,s104,s2114,s2500,s2836,s1408,s2835,s1781,s1787,s1785,s94,s2817,s539,s2833,s2827,s2058,s450,s377,s990,s2826,s4,s2783,s25,s2799,s2775,s495,s138,s737,s367,s347]) ).
cnf(s2838,plain,
( spl0_204
| ~ spl0_29
| ~ spl0_48
| ~ spl0_189
| ~ spl0_147
| ~ spl0_87 ),
inference(rat,[],[s2429,s2260,s1724]) ).
cnf(s2839,plain,
( ~ spl0_204
| spl0_234
| ~ spl0_224
| ~ spl0_23 ),
inference(rat,[],[s2180,s1006,s1473,s1623,s2397,s1454,s737,s1401]) ).
cnf(s2840,plain,
( ~ spl0_189
| spl0_202
| ~ spl0_95
| ~ spl0_133
| ~ spl0_9 ),
inference(rat,[],[s1741,s2427,s2028]) ).
cnf(s2841,plain,
( spl0_111
| ~ spl0_102
| ~ spl0_239
| spl0_40
| ~ spl0_224
| ~ spl0_42
| spl0_112
| ~ spl0_133
| ~ spl0_57
| ~ spl0_9
| ~ spl0_23 ),
inference(rat,[],[s1266,s1003,s2180,s2840,s1006,s1574,s1724,s2839,s2480,s2408,s87,s2576,s2231,s1008,s2189,s2609,s2397,s1454,s535,s2008,s2539,s347,s737,s1042,s910,s1401]) ).
cnf(s2842,plain,
( ~ spl0_224
| ~ spl0_42
| spl0_112
| ~ spl0_77
| ~ spl0_133
| ~ spl0_57
| ~ spl0_25
| ~ spl0_9
| spl0_7
| ~ spl0_23 ),
inference(rat,[],[s2167,s1290,s1006,s1004,s1574,s2471,s2839,s2480,s2408,s644,s2841,s535,s2008,s2539,s449,s2479,s2473,s2456,s2587,s2572,s1842,s2057,s1483,s2608,s2824,s1994,s2609,s1454,s2775,s2128,s2727,s824,s631,s65,s2821,s737,s347,s1042,s910,s367,s1401,s1333]) ).
cnf(s2843,plain,
( spl0_266
| ~ spl0_180
| ~ spl0_25
| ~ spl0_9 ),
inference(rat,[],[s1408,s2552,s2057,s1401,s1333]) ).
cnf(s2844,plain,
( spl0_106
| ~ spl0_21
| ~ spl0_25
| ~ spl0_9
| spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s1739,s153,s2473,s1607,s450,s1359,s2817,s2539,s2456,s539,s2008,s2587,s2806,s1842,s1583,s1288,s2842,s103,s60,s234,s1766,s2128,s631,s1992,s2738,s686,s291,s1569,s65,s2572,s2843,s1874,s407,s2821,s347,s367,s138]) ).
cnf(s2845,plain,
( spl0_7
| ~ spl0_23
| spl0_1 ),
inference(rat,[],[s1607,s2817,s157,s539,s1739,s535,s2473,s2489,s2456,s2587,s2128,s1583,s1842,s631,s226,s103,s2058,s450,s1359,s173,s2827,s377,s990,s1767,s2844,s2572,s1478,s2843,s407,s1874,s774,s2837,s65,s2821,s25,s2799,s2783,s2775,s4,s138,s367,s347,s737]) ).
cnf(s2846,plain,
( ~ spl0_102
| ~ spl0_11
| ~ spl0_147
| spl0_106
| ~ spl0_7 ),
inference(rat,[],[s1355,s1354,s1858,s1146,s737]) ).
cnf(s2847,plain,
( ~ spl0_38
| ~ spl0_15
| ~ spl0_7
| ~ spl0_23 ),
inference(rat,[],[s1432,s2472,s65,s573,s433,s464,s19,s30,s52,s495]) ).
cnf(s2848,plain,
( spl0_111
| spl0_50
| ~ spl0_15
| spl0_76
| spl0_106
| spl0_9
| ~ spl0_23 ),
inference(rat,[],[s1679,s1766,s1432,s60,s2472,s1575,s2225,s1688,s1457,s27,s1361,s1163,s19,s291,s52,s65,s495,s737]) ).
cnf(s2849,plain,
( spl0_50
| ~ spl0_15
| spl0_76
| spl0_106
| spl0_9
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s1679,s1766,s1432,s60,s2472,s1575,s1352,s1688,s1457,s1362,s644,s2848,s65,s19,s291,s52,s495,s347]) ).
cnf(s2850,plain,
( spl0_111
| spl0_202
| spl0_204
| ~ spl0_15
| spl0_106
| ~ spl0_20
| ~ spl0_23 ),
inference(rat,[],[s2426,s176,s1003,s319,s1617,s2259,s1457,s389,s27,s1361,s1158,s1163,s291,s34,s52,s347,s1211,s737]) ).
cnf(s2852,plain,
( ~ spl0_29
| ~ spl0_111
| spl0_204
| ~ spl0_163
| spl0_162
| ~ spl0_7 ),
inference(rat,[],[s1004,s2477,s2104,s2284,s347]) ).
cnf(s2853,plain,
( ~ spl0_15
| ~ spl0_22
| spl0_76
| ~ spl0_224
| spl0_106
| ~ spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s1109,s1526,s998,s27,s2852,s1291,s2850,s2585,s1724,s2458,s2839,s2476,s1694,s714,s2849,s1433,s1785,s2847,s450,s2846,s34,s52,s19,s30,s2397,s1454,s786,s535,s138,s1333,s910,s347,s1401]) ).
cnf(s2854,plain,
( ~ spl0_183
| spl0_102
| spl0_31
| ~ spl0_26
| spl0_106 ),
inference(rat,[],[s2080,s1766,s1432,s821]) ).
cnf(s2855,plain,
( spl0_50
| spl0_183
| ~ spl0_77
| ~ spl0_262
| ~ spl0_6 ),
inference(rat,[],[s631,s816,s1688,s65,s138]) ).
cnf(s2856,plain,
( ~ spl0_22
| spl0_76
| ~ spl0_224
| spl0_106
| spl0_25
| ~ spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s1006,s2180,s1619,s2284,s2839,s2476,s1433,s1785,s1694,s464,s714,s2855,s2854,s1365,s389,s27,s1361,s1825,s1158,s1163,s2610,s2589,s2303,s450,s2846,s34,s2574,s1265,s82,s2408,s2853,s19,s30,s291,s2397,s1454,s786,s535,s737,s1211,s138,s347,s910,s1401]) ).
cnf(s2857,plain,
( ~ spl0_21
| spl0_106
| spl0_25
| ~ spl0_20
| ~ spl0_23
| ~ spl0_2 ),
inference(rat,[],[s82,s2408,s2780,s52,s2781,s910]) ).
cnf(s2858,plain,
( ~ spl0_44
| spl0_183
| ~ spl0_15
| ~ spl0_20
| ~ spl0_6 ),
inference(rat,[],[s87,s2472,s816,s495,s138]) ).
cnf(s2859,plain,
( spl0_111
| spl0_204
| ~ spl0_15
| ~ spl0_163
| spl0_106
| ~ spl0_7
| ~ spl0_23 ),
inference(rat,[],[s2284,s1721,s27,s2850,s1163,s19,s30,s737]) ).
cnf(s2860,plain,
( ~ spl0_15
| ~ spl0_76
| ~ spl0_224
| ~ spl0_22
| spl0_106
| ~ spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s27,s2618,s2852,s2859,s2839,s2476,s466,s1694,s714,s65,s2858,s2023,s2585,s2454,s821,s2566,s1766,s2488,s1433,s833,s922,s157,s1785,s2847,s19,s30,s1454,s450,s2539,s2008,s138,s910,s1519,s347]) ).
cnf(s2861,plain,
( spl0_50
| spl0_183
| ~ spl0_93
| ~ spl0_174
| spl0_102
| ~ spl0_133
| ~ spl0_20
| ~ spl0_7 ),
inference(rat,[],[s2591,s2299,s2610,s356,s1361,s157,s1688,s2727,s433,s1846,s2219,s2472,s65,s367,s737,s138,s495]) ).
cnf(s2862,plain,
( ~ spl0_224
| ~ spl0_22
| spl0_106
| spl0_25
| ~ spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s1006,s2180,s1619,s2284,s389,s27,s1158,s1163,s2610,s2839,s2589,s2476,s2303,s1433,s466,s1785,s1694,s464,s714,s783,s2861,s2854,s34,s2079,s2779,s1265,s82,s2408,s2860,s450,s2539,s2008,s2856,s2397,s1454,s19,s30,s291,s737,s1211,s910,s138,s347,s1401]) ).
cnf(s2863,plain,
( spl0_111
| ~ spl0_163
| spl0_287
| ~ spl0_50
| spl0_162
| ~ spl0_15
| spl0_224
| spl0_106
| ~ spl0_7
| ~ spl0_23 ),
inference(rat,[],[s1007,s2280,s1476,s1216,s1004,s1657,s1857,s1232,s2477,s1224,s319,s1616,s1172,s1473,s1457,s389,s2859,s1361,s1158,s19,s30,s291,s34,s52,s1694,s714,s737,s495,s347,s1333,s138]) ).
cnf(s2864,plain,
( spl0_223
| ~ spl0_111
| ~ spl0_147
| ~ spl0_11
| spl0_224
| ~ spl0_22
| spl0_106
| ~ spl0_7 ),
inference(rat,[],[s1616,s389,s2610,s978,s2589,s1114,s2527,s1333,s910]) ).
cnf(s2865,plain,
( spl0_76
| ~ spl0_15
| spl0_224
| ~ spl0_22
| spl0_106
| ~ spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s389,s1616,s978,s2610,s1110,s2589,s2585,s2303,s2455,s1343,s1478,s2864,s176,s644,s2863,s450,s2846,s2489,s2849,s535,s786,s30,s34,s52,s1333,s910,s347]) ).
cnf(s2866,plain,
( spl0_111
| spl0_162
| ~ spl0_50
| ~ spl0_163
| ~ spl0_15
| spl0_224
| spl0_106
| ~ spl0_7
| ~ spl0_23 ),
inference(rat,[],[s1857,s1616,s2473,s389,s2863,s1158,s34,s52,s1333]) ).
cnf(s2868,plain,
( ~ spl0_33
| ~ spl0_163
| ~ spl0_87
| ~ spl0_40
| spl0_224
| ~ spl0_23 ),
inference(rat,[],[s2456,s2473,s2587,s1455,s1343,s1110,s1114,s367]) ).
cnf(s2869,plain,
( ~ spl0_15
| spl0_224
| ~ spl0_22
| spl0_106
| ~ spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s2591,s2303,s2610,s1857,s1616,s389,s978,s2868,s2866,s466,s1694,s714,s65,s2858,s821,s450,s1766,s2128,s2539,s833,s922,s2008,s2865,s1785,s34,s2847,s52,s19,s30,s367,s1333,s138,s347]) ).
cnf(s2870,plain,
( ~ spl0_262
| spl0_50
| spl0_105
| ~ spl0_102 ),
inference(rat,[],[s254,s1629,s1595,s403,s1782,s1694,s2108,s823,s2211,s1688,s211,s751,s138,s737]) ).
cnf(s2871,plain,
( ~ spl0_174
| ~ spl0_111
| ~ spl0_31
| ~ spl0_147
| spl0_224
| spl0_106 ),
inference(rat,[],[s2591,s2527,s2610,s1704,s367]) ).
cnf(s2872,plain,
( spl0_174
| ~ spl0_99
| ~ spl0_102
| spl0_98
| ~ spl0_26 ),
inference(rat,[],[s2589,s2506,s2300,s1265,s910]) ).
cnf(s2873,plain,
( ~ spl0_102
| spl0_76
| ~ spl0_26
| spl0_224
| spl0_106
| ~ spl0_7
| ~ spl0_23 ),
inference(rat,[],[s162,s464,s2870,s1361,s2871,s2872,s2777,s34,s2315,s2846,s1858,s291,s535,s787,s19,s30,s737]) ).
cnf(s2874,plain,
( spl0_50
| ~ spl0_77
| ~ spl0_262
| spl0_102
| spl0_76
| ~ spl0_26
| ~ spl0_22
| spl0_106
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s817,s1435,s1640,s1638,s2777,s1766,s1785,s2854,s821,s964,s2855,s1688,s535,s737]) ).
cnf(s2875,plain,
( spl0_204
| ~ spl0_174
| ~ spl0_153
| ~ spl0_254
| ~ spl0_29
| spl0_234
| ~ spl0_7 ),
inference(rat,[],[s2183,s1006,s2284,s1619,s737,s1211]) ).
cnf(s2876,plain,
( spl0_111
| spl0_76
| ~ spl0_26
| spl0_224
| ~ spl0_22
| spl0_106
| ~ spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s1006,s2183,s1678,s1473,s2875,s1616,s389,s34,s162,s464,s2874,s1476,s2806,s1365,s27,s1361,s1825,s1158,s1163,s19,s30,s291,s1288,s1366,s2408,s2869,s535,s2873,s737,s1333,s347,s910]) ).
cnf(s2877,plain,
( ~ spl0_31
| ~ spl0_111
| ~ spl0_147
| ~ spl0_26
| spl0_224
| spl0_106
| ~ spl0_23 ),
inference(rat,[],[s1817,s472,s2789,s2589,s2527,s1343,s1265,s2871,s2777,s1288,s910]) ).
cnf(s2878,plain,
( spl0_76
| ~ spl0_26
| spl0_224
| ~ spl0_22
| spl0_106
| ~ spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s2589,s2610,s2303,s1265,s1343,s2864,s34,s2877,s2876,s450,s2873,s535,s786,s910,s347]) ).
cnf(s2879,plain,
( spl0_111
| ~ spl0_93
| spl0_183
| ~ spl0_11
| ~ spl0_76
| spl0_224
| ~ spl0_22
| spl0_106
| ~ spl0_7
| ~ spl0_23 ),
inference(rat,[],[s251,s157,s1596,s1267,s1636,s464,s2033,s2211,s2861,s1003,s2108,s1616,s2263,s2264,s389,s27,s1361,s1158,s1163,s19,s30,s291,s2539,s2008,s138,s211,s751,s347,s737,s1333]) ).
cnf(s2880,plain,
( spl0_174
| ~ spl0_11
| ~ spl0_26
| spl0_224
| ~ spl0_22
| ~ spl0_7
| ~ spl0_23 ),
inference(rat,[],[s978,s1114,s389,s1343,s1616,s1265,s1333]) ).
cnf(s2881,plain,
( spl0_106
| ~ spl0_23
| spl0_1 ),
inference(rat,[],[s466,s2303,s1694,s2591,s714,s783,s2610,s2861,s1857,s2880,s2879,s2079,s450,s2854,s34,s2539,s2779,s2008,s2878,s82,s2408,s2869,s2862,s774,s2857,s291,s4,s1,s19,s47,s30,s2845,s138,s367,s347,s910]) ).
cnf(s2882,plain,
( ~ spl0_22
| spl0_143
| spl0_38
| ~ spl0_76
| ~ spl0_286
| ~ spl0_224 ),
inference(rat,[],[s2299,s2727,s1433,s922,s1785]) ).
cnf(s2883,plain,
( spl0_50
| ~ spl0_21
| spl0_31
| ~ spl0_15
| ~ spl0_20
| ~ spl0_6 ),
inference(rat,[],[s1432,s2858,s2766,s65]) ).
cnf(s2884,plain,
( ~ spl0_50
| ~ spl0_76
| ~ spl0_162
| ~ spl0_23 ),
inference(rat,[],[s1694,s466,s714,s783,s138]) ).
cnf(s2885,plain,
( spl0_38
| ~ spl0_22
| ~ spl0_76
| ~ spl0_286
| ~ spl0_224
| spl0_102 ),
inference(rat,[],[s356,s2882,s157,s138]) ).
cnf(s2886,plain,
( ~ spl0_38
| spl0_50
| ~ spl0_286
| spl0_238
| spl0_102
| spl0_25
| ~ spl0_7
| ~ spl0_23 ),
inference(rat,[],[s1488,s2302,s2078,s2080,s2216,s82,s27,s2408,s986,s2847,s433,s443,s19,s30,s2473,s450,s138,s910,s495,s347]) ).
cnf(s2887,plain,
( spl0_31
| ~ spl0_21
| spl0_50
| ~ spl0_20
| ~ spl0_6 ),
inference(rat,[],[s2883,s2773]) ).
cnf(s2888,plain,
( ~ spl0_224
| ~ spl0_106
| spl0_25
| ~ spl0_7
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s82,s2408,s2779,s52,s2887,s774,s2885,s2886,s2884,s786,s2303,s2591,s1454,s2324,s19,s30,s450,s990,s910,s367,s347]) ).
cnf(s2889,plain,
( ~ spl0_14
| ~ spl0_22
| ~ spl0_147
| spl0_162
| spl0_234
| spl0_224
| ~ spl0_261
| ~ spl0_106
| spl0_25
| ~ spl0_7
| ~ spl0_23 ),
inference(rat,[],[s1476,s2875,s1842,s389,s27,s1365,s978,s1526,s1825,s1114,s2338,s2610,s2308,s2585,s2589,s2329,s2303,s2397,s1857,s2880,s34,s320,s2079,s82,s19,s30,s450,s990,s2832,s347,s1333,s910,s1401]) ).
cnf(s2890,plain,
( ~ spl0_22
| ~ spl0_147
| spl0_162
| spl0_234
| spl0_224
| ~ spl0_261
| ~ spl0_106
| spl0_25
| ~ spl0_7
| ~ spl0_23 ),
inference(rat,[],[s2562,s1657,s2875,s1616,s27,s389,s510,s978,s2868,s2128,s542,s1785,s34,s2847,s52,s2408,s2889,s19,s30,s450,s990,s2832,s1401,s1333,s367,s910,s347]) ).
cnf(s2891,plain,
( ~ spl0_14
| ~ spl0_21
| ~ spl0_147
| spl0_162
| ~ spl0_261
| ~ spl0_106
| spl0_25
| ~ spl0_7
| ~ spl0_23
| ~ spl0_2 ),
inference(rat,[],[s49,s27,s591,s2852,s262,s1825,s2782,s1365,s176,s319,s2773,s2780,s2079,s82,s19,s30,s450,s990,s2832,s270,s211,s347]) ).
cnf(s2892,plain,
( spl0_76
| ~ spl0_23
| spl0_1 ),
inference(rat,[],[s2782,s262,s176,s591,s755,s49,s27,s934,s2868,s2128,s1607,s220,s314,s157,s2887,s2847,s52,s2408,s2891,s1874,s774,s2890,s535,s786,s1,s19,s1359,s450,s990,s1366,s2888,s2881,s47,s30,s2845,s4,s211,s270,s737,s367,s138,s910,s347]) ).
cnf(s2893,plain,
( spl0_204
| ~ spl0_153
| ~ spl0_29
| ~ spl0_174
| spl0_234
| ~ spl0_7 ),
inference(rat,[],[s1006,s2180,s1619,s2284,s2397,s1857,s737,s1211,s1401]) ).
cnf(s2894,plain,
( ~ spl0_26
| ~ spl0_22
| ~ spl0_76
| spl0_234
| spl0_224
| ~ spl0_261
| ~ spl0_106
| ~ spl0_7
| ~ spl0_23 ),
inference(rat,[],[s1006,s2180,s1678,s1473,s2893,s389,s27,s978,s1526,s1114,s2338,s1107,s2585,s2329,s2397,s1857,s2880,s34,s2779,s2079,s19,s30,s990,s737,s1333,s910,s1401]) ).
cnf(s2895,plain,
( ~ spl0_22
| ~ spl0_76
| spl0_234
| spl0_224
| ~ spl0_261
| ~ spl0_106
| spl0_25
| ~ spl0_7
| ~ spl0_23 ),
inference(rat,[],[s1006,s2180,s2397,s1678,s1473,s1857,s2893,s1616,s27,s389,s510,s978,s2868,s2128,s542,s1785,s34,s2847,s52,s2408,s82,s2894,s19,s30,s450,s990,s737,s1401,s1333,s367,s910,s347]) ).
cnf(s2896,plain,
( ~ spl0_26
| ~ spl0_21
| ~ spl0_76
| spl0_224
| ~ spl0_106
| ~ spl0_20
| ~ spl0_23
| ~ spl0_6 ),
inference(rat,[],[s49,s27,s591,s41,s262,s2868,s2782,s1607,s176,s157,s2128,s319,s464,s220,s783,s2773,s2887,s2779,s2079,s1359,s450,s990,s270,s211,s138,s367,s347]) ).
cnf(s2897,plain,
( ~ spl0_23
| spl0_1 ),
inference(rat,[],[s2782,s262,s176,s591,s755,s49,s27,s41,s2868,s2128,s1607,s220,s783,s157,s2887,s2847,s52,s2408,s82,s2896,s774,s2895,s2892,s1366,s2888,s450,s1359,s990,s2881,s47,s19,s30,s2845,s4,s211,s270,s737,s367,s138,s910,s347]) ).
cnf(s2898,plain,
( ~ spl0_38
| spl0_50
| ~ spl0_102
| ~ spl0_31
| spl0_234
| spl0_76
| ~ spl0_194
| ~ spl0_266
| spl0_106
| ~ spl0_173
| ~ spl0_17
| ~ spl0_6 ),
inference(rat,[],[s2147,s1261,s1735,s1003,s1733,s2042,s1266,s2167,s2180,s2608,s2397,s1739,s816,s2479,s821,s2456,s1766,s2128,s2587,s250,s1842,s1362,s1688,s2727,s2570,s815,s291,s65,s347,s1401,s138,s367]) ).
cnf(s2899,plain,
( spl0_38
| ~ spl0_31
| ~ spl0_22
| spl0_7
| ~ spl0_224 ),
inference(rat,[],[s104,s2500,s2809,s853,s1785,s1792,s866,s495]) ).
cnf(s2900,plain,
( ~ spl0_50
| spl0_66
| ~ spl0_31
| ~ spl0_194
| ~ spl0_25
| ~ spl0_173
| spl0_174
| ~ spl0_9
| ~ spl0_17
| ~ spl0_4 ),
inference(rat,[],[s2222,s1733,s2309,s2167,s1345,s2608,s1430,s1775,s1779,s104,s2114,s2500,s88,s495,s138]) ).
cnf(s2901,plain,
( ~ spl0_31
| spl0_234
| spl0_76
| ~ spl0_25
| spl0_106
| ~ spl0_22
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1739,s2473,s2479,s2456,s2128,s2587,s250,s1842,s458,s450,s2727,s2898,s964,s2900,s1780,s2570,s2899,s4,s57,s23,s2897,s1,s2775,s2609,s1483,s1006,s2803,s2057,s1994,s866,s367,s347,s1333,s1519,s737,s1401]) ).
cnf(s2902,plain,
( ~ spl0_38
| spl0_50
| ~ spl0_93
| spl0_234
| spl0_76
| ~ spl0_266
| spl0_106
| ~ spl0_173
| ~ spl0_22
| ~ spl0_17
| ~ spl0_224
| ~ spl0_6 ),
inference(rat,[],[s1004,s2474,s2163,s2042,s2167,s2180,s739,s2608,s2397,s94,s1739,s1433,s816,s2479,s821,s2456,s1766,s2128,s2587,s250,s1842,s1362,s1688,s2727,s2570,s964,s291,s1006,s2803,s65,s347,s1401,s138,s367,s737]) ).
cnf(s2903,plain,
( spl0_38
| ~ spl0_22
| spl0_7
| ~ spl0_224 ),
inference(rat,[],[s102,s1775,s2762,s1433,s1453,s1785,s1792,s2609,s866]) ).
cnf(s2904,plain,
( spl0_234
| spl0_76
| ~ spl0_25
| spl0_106
| ~ spl0_22
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1004,s2474,s739,s2163,s2042,s94,s2167,s2180,s1433,s2608,s2397,s1775,s1779,s104,s2114,s2500,s88,s2902,s1355,s34,s2901,s4,s1149,s2897,s2775,s2609,s1483,s1006,s2803,s1780,s2570,s2057,s1994,s866,s535,s2727,s964,s2903,s347,s1401,s495,s138,s737,s1519,s1333]) ).
cnf(s2905,plain,
( spl0_76
| ~ spl0_25
| spl0_106
| ~ spl0_22
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s102,s1774,s2762,s457,s573,s2408,s2480,s2904,s964,s57,s23,s2897,s1,s2609,s1780,s2570,s2057,s2903,s1994,s866,s910,s1519,s1333,s1401]) ).
cnf(s2906,plain,
( ~ spl0_25
| spl0_106
| ~ spl0_22
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2802,s2480,s449,s2408,s2473,s2608,s2397,s87,s1739,s2576,s2479,s104,s2727,s1778,s631,s1003,s1794,s2840,s1834,s1092,s250,s1842,s2817,s2831,s2058,s2189,s539,s2593,s2905,s1780,s1006,s2570,s2803,s2057,s2775,s1994,s2317,s2609,s866,s2903,s291,s910,s1401,s347,s138,s367,s737,s1333,s1519]) ).
cnf(s2907,plain,
( ~ spl0_195
| ~ spl0_31
| ~ spl0_241
| spl0_76
| ~ spl0_57
| ~ spl0_44
| ~ spl0_26
| ~ spl0_133
| ~ spl0_224 ),
inference(rat,[],[s2042,s1735,s2075,s2147,s2028,s1724,s1261,s1003,s1623,s1717,s535,s347]) ).
cnf(s2908,plain,
( ~ spl0_194
| spl0_266
| spl0_234
| ~ spl0_57
| ~ spl0_227
| spl0_230
| ~ spl0_38 ),
inference(rat,[],[s1909,s1745,s2090,s1285,s2181,s1254,s2042,s2183,s1476,s1427]) ).
cnf(s2909,plain,
( spl0_76
| spl0_234
| ~ spl0_57
| ~ spl0_61
| spl0_50
| ~ spl0_48
| ~ spl0_238
| ~ spl0_26
| spl0_106
| ~ spl0_38
| ~ spl0_173
| ~ spl0_22
| ~ spl0_17
| spl0_28
| ~ spl0_224
| ~ spl0_6 ),
inference(rat,[],[s33,s2838,s34,s1003,s2907,s1623,s1717,s1006,s2908,s2585,s2902,s2456,s2079,s2128,s2506,s250,s2589,s1362,s2479,s2299,s1688,s2727,s739,s964,s535,s291,s1918,s2566,s1739,s65,s347,s737,s910,s367,s1519]) ).
cnf(s2910,plain,
( spl0_106
| ~ spl0_22
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2298,s2479,s2591,s2727,s2506,s815,s2079,s539,s2593,s2909,s2480,s2408,s1784,s94,s573,s88,s853,s2762,s2576,s102,s104,s1780,s1775,s1918,s1739,s1265,s25,s2906,s4,s878,s1145,s23,s2897,s2775,s2609,s1483,s1994,s866,s2903,s367,s910,s1333,s1519]) ).
cnf(s2911,plain,
( spl0_76
| ~ spl0_106
| ~ spl0_38
| ~ spl0_9
| ~ spl0_22
| ~ spl0_17
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1261,s1907,s2147,s1004,s1003,s1735,s2474,s1266,s2042,s2180,s2480,s2408,s1006,s87,s2803,s1784,s65,s2057,s88,s449,s25,s739,s2576,s2473,s1265,s2397,s94,s2231,s1739,s1433,s250,s2479,s2232,s2727,s1008,s964,s535,s878,s2897,s2609,s2298,s2591,s2324,s1483,s1994,s377,s347,s910,s737,s1401,s1333,s367]) ).
cnf(s2912,plain,
( ~ spl0_22
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1910,s2427,s2429,s2762,s1003,s102,s2802,s2128,s1092,s1780,s1006,s2480,s250,s1842,s2570,s2803,s2408,s2058,s2057,s87,s25,s1784,s2608,s1265,s2397,s88,s1739,s2576,s2479,s313,s1774,s2727,s815,s879,s2300,s2817,s2315,s539,s2911,s2298,s2591,s2189,s2324,s377,s2910,s2903,s1483,s2317,s1994,s2609,s866,s878,s2897,s2775,s347,s367,s910,s1333,s1519,s737,s1401]) ).
cnf(s2913,plain,
( ~ spl0_195
| ~ spl0_42
| ~ spl0_239
| ~ spl0_224 ),
inference(rat,[],[s1574,s1623,s1042]) ).
cnf(s2914,plain,
( spl0_31
| ~ spl0_147
| spl0_106
| ~ spl0_21
| spl0_200 ),
inference(rat,[],[s1355,s700,s34,s737,s347]) ).
cnf(s2915,plain,
( spl0_50
| ~ spl0_239
| ~ spl0_102
| spl0_43
| ~ spl0_38
| spl0_234
| ~ spl0_173
| ~ spl0_266
| ~ spl0_31
| spl0_76
| spl0_106
| ~ spl0_17
| ~ spl0_224
| ~ spl0_6 ),
inference(rat,[],[s2913,s1006,s60,s2898,s65,s737]) ).
cnf(s2916,plain,
( ~ spl0_102
| ~ spl0_38
| spl0_234
| ~ spl0_25
| spl0_76
| spl0_106
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1003,s2028,s1705,s1584,s1724,s1623,s1006,s2900,s2915,s446,s94,s1433,s2479,s2727,s815,s23,s2775,s291,s2914,s535,s1149,s2897,s2609,s1483,s1768,s1569,s249,s1763,s1780,s1994,s2456,s2128,s250,s2587,s1842,s686,s2570,s2843,s1874,s774,s2912,s543,s4,s347,s737,s367,s1519,s1333]) ).
cnf(s2917,plain,
( ~ spl0_38
| spl0_234
| ~ spl0_25
| spl0_76
| spl0_106
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2551,s631,s2576,s2727,s104,s2479,s1775,s1739,s2473,s450,s2916,s2456,s1780,s2128,s2570,s250,s2609,s1994,s2587,s1842,s2843,s1874,s543,s686,s774,s2912,s4,s910,s347,s1333,s1519,s367]) ).
cnf(s2918,plain,
( spl0_238
| ~ spl0_194
| ~ spl0_255
| ~ spl0_57
| ~ spl0_58
| spl0_234 ),
inference(rat,[],[s2042,s2184,s2180,s2488,s2397,s1401]) ).
cnf(s2919,plain,
( ~ spl0_190
| ~ spl0_9
| ~ spl0_25
| ~ spl0_77
| ~ spl0_180 ),
inference(rat,[],[s1741,s1705,s1816,s1211,s1427]) ).
cnf(s2920,plain,
( spl0_50
| ~ spl0_102
| ~ spl0_58
| spl0_234
| ~ spl0_189
| ~ spl0_266
| spl0_106
| ~ spl0_21
| ~ spl0_224 ),
inference(rat,[],[s2174,s1007,s2591,s1222,s2506,s2028,s2918,s1092,s1006,s2913,s2479,s1488,s2727,s60,s2456,s2572,s631,s1766,s2128,s407,s2738,s65,s291,s2587,s1842,s686,s737,s367,s910,s138,s347]) ).
cnf(s2921,plain,
( ~ spl0_50
| spl0_68
| spl0_66
| ~ spl0_189
| ~ spl0_9
| ~ spl0_25
| ~ spl0_31
| ~ spl0_147
| ~ spl0_133
| ~ spl0_17
| ~ spl0_224
| ~ spl0_4 ),
inference(rat,[],[s1584,s446,s2028,s94,s1724,s2809,s1623,s104,s1006,s2500,s2900,s88,s2609,s1483,s1994,s737,s495]) ).
cnf(s2922,plain,
( spl0_234
| ~ spl0_25
| spl0_76
| spl0_106
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1433,s2479,s1607,s2727,s2456,s1359,s2572,s631,s2128,s2920,s407,s2738,s2921,s156,s157,s1792,s2917,s23,s2775,s291,s2914,s535,s1149,s2897,s2587,s1842,s2843,s1003,s2919,s543,s686,s1874,s774,s2912,s4,s347,s367,s138]) ).
cnf(s2923,plain,
( ~ spl0_25
| spl0_76
| spl0_106
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1733,s1245,s1724,s2840,s2189,s2315,s644,s457,s2408,s2480,s2922,s1003,s2919,s2609,s543,s57,s23,s1,s1874,s291,s686,s2914,s535,s774,s2912,s4,s1149,s2897,s737,s910,s347]) ).
cnf(s2924,plain,
( ~ spl0_38
| spl0_234
| ~ spl0_9
| ~ spl0_26
| ~ spl0_31
| spl0_76
| ~ spl0_77
| ~ spl0_133
| ~ spl0_180
| ~ spl0_224 ),
inference(rat,[],[s1006,s2908,s2907,s1842,s2585,s2456,s2479,s2727,s631,s65,s2551,s88,s2576,s104,s1780,s1775,s2566,s2128,s1918,s1739,s250,s1265,s2574,s1994,s737,s910,s1333,s1519,s367]) ).
cnf(s2925,plain,
( ~ spl0_190
| ~ spl0_102
| ~ spl0_26
| ~ spl0_31
| ~ spl0_77
| ~ spl0_180 ),
inference(rat,[],[s2075,s1266,s1705]) ).
cnf(s2926,plain,
( spl0_234
| ~ spl0_9
| ~ spl0_26
| ~ spl0_31
| spl0_76
| spl0_106
| ~ spl0_21
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1007,s1222,s2174,s2028,s1722,s2042,s2183,s1476,s2920,s1003,s2925,s1006,s2913,s2299,s2591,s2506,s1359,s60,s1607,s2727,s1766,s631,s739,s2738,s65,s453,s94,s162,s166,s157,s2924,s4,s57,s23,s2897,s1,s1874,s291,s686,s1265,s2574,s737,s347,s367,s138]) ).
cnf(s2927,plain,
( ~ spl0_15
| ~ spl0_26
| ~ spl0_31
| spl0_76
| spl0_106
| ~ spl0_21
| ~ spl0_37 ),
inference(rat,[],[s2108,s2467,s1782,s1353,s2076,s791,s2136,s2796,s2189,s2079,s2315,s644,s457,s686,s737,s347]) ).
cnf(s2928,plain,
( ~ spl0_38
| ~ spl0_142
| spl0_112
| ~ spl0_286
| ~ spl0_238 ),
inference(rat,[],[s2302,s1488,s2479,s1918,s1739,s138]) ).
cnf(s2929,plain,
( spl0_202
| ~ spl0_189
| ~ spl0_286
| ~ spl0_133
| ~ spl0_224 ),
inference(rat,[],[s1007,s1222,s2174,s2028,s737]) ).
cnf(s2930,plain,
( ~ spl0_57
| ~ spl0_232
| ~ spl0_202
| ~ spl0_77 ),
inference(rat,[],[s1722,s2727,s2042,s631]) ).
cnf(s2931,plain,
( ~ spl0_102
| spl0_98
| ~ spl0_26
| ~ spl0_31
| ~ spl0_147
| spl0_106
| ~ spl0_21
| ~ spl0_224 ),
inference(rat,[],[s1780,s104,s1918,s2500,s1776,s162,s790,s407,s2930,s2338,s1092,s1006,s1818,s1733,s1623,s1724,s2929,s2315,s1003,s2591,s2872,s2925,s2506,s1874,s291,s686,s1265,s2574,s1333,s1519,s495,s138,s910,s737,s347,s367]) ).
cnf(s2932,plain,
( ~ spl0_38
| ~ spl0_87
| ~ spl0_57
| ~ spl0_44
| spl0_234
| ~ spl0_26
| ~ spl0_31
| spl0_76
| ~ spl0_77
| ~ spl0_133
| ~ spl0_224 ),
inference(rat,[],[s1006,s2908,s2907,s1842,s2585,s2456,s2479,s2566,s1918,s1739,s1265,s2574,s2727,s631,s737,s910,s1519]) ).
cnf(s2933,plain,
( spl0_50
| spl0_9
| spl0_234
| ~ spl0_26
| ~ spl0_31
| spl0_76
| spl0_106
| ~ spl0_21
| ~ spl0_17
| ~ spl0_224
| ~ spl0_6 ),
inference(rat,[],[s89,s1824,s1607,s151,s157,s2932,s631,s2128,s407,s2738,s65,s291,s686,s1359,s2931,s787,s19,s535,s138,s367,s347]) ).
cnf(s2934,plain,
( ~ spl0_195
| ~ spl0_172
| ~ spl0_29
| ~ spl0_224 ),
inference(rat,[],[s2105,s1623]) ).
cnf(s2935,plain,
( spl0_76
| spl0_106
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1003,s2028,s1705,s1489,s2157,s1092,s1006,s2934,s1750,s2762,s1291,s89,s1780,s1873,s104,s1775,s2566,s1918,s1739,s2500,s162,s790,s2933,s1361,s1850,s2931,s787,s27,s19,s2926,s2480,s2408,s2927,s1265,s25,s2574,s2923,s2914,s535,s57,s1,s1149,s1145,s23,s2897,s2775,s1874,s291,s686,s774,s2912,s4,s347,s910,s737,s1333,s1519,s495]) ).
cnf(s2936,plain,
( ~ spl0_38
| ~ spl0_195
| spl0_40
| ~ spl0_287
| spl0_93
| spl0_111
| ~ spl0_9
| ~ spl0_77
| spl0_272
| ~ spl0_180
| ~ spl0_224
| ~ spl0_2 ),
inference(rat,[],[s65,s60,s88,s2913,s2576,s2479,s104,s2727,s1778,s631,s444,s1781,s516,s250,s1768,s910,s737,s367]) ).
cnf(s2937,plain,
( ~ spl0_25
| spl0_106
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s65,s60,s88,s2913,s2576,s2479,s104,s2727,s1766,s1778,s631,s252,s453,s1792,s2936,s1006,s1092,s2840,s2817,s2831,s2189,s1003,s1842,s539,s2593,s2919,s1994,s2843,s543,s57,s23,s2897,s1,s1874,s1569,s291,s686,s774,s2912,s4,s2935,s910,s737,s347]) ).
cnf(s2938,plain,
( ~ spl0_9
| ~ spl0_142
| spl0_112
| ~ spl0_38
| ~ spl0_26
| ~ spl0_76
| ~ spl0_224 ),
inference(rat,[],[s2589,s2506,s2928,s2079,s1265,s539,s2609,s910]) ).
cnf(s2939,plain,
( spl0_50
| ~ spl0_38
| ~ spl0_26
| ~ spl0_76
| ~ spl0_77
| ~ spl0_21
| ~ spl0_224
| ~ spl0_6 ),
inference(rat,[],[s2589,s2506,s2928,s2079,s1265,s808,s2574,s2887,s19,s2938,s2727,s631,s407,s250,s910,s138]) ).
cnf(s2940,plain,
( ~ spl0_93
| ~ spl0_76
| spl0_106
| ~ spl0_21 ),
inference(rat,[],[s700,s808,s347]) ).
cnf(s2941,plain,
( ~ spl0_31
| spl0_84
| ~ spl0_50
| ~ spl0_102
| ~ spl0_99
| ~ spl0_26
| ~ spl0_224 ),
inference(rat,[],[s313,s2500,s2872,s790,s2574,s495]) ).
cnf(s2942,plain,
( ~ spl0_38
| ~ spl0_26
| ~ spl0_76
| spl0_106
| ~ spl0_21
| ~ spl0_224
| ~ spl0_6 ),
inference(rat,[],[s102,s2762,s1781,s573,s2675,s2773,s2941,s1774,s783,s2939,s250,s686,s2315,s2079,s2940,s737,s367,s347]) ).
cnf(s2943,plain,
( spl0_50
| ~ spl0_58
| spl0_66
| ~ spl0_26
| ~ spl0_76
| spl0_106
| ~ spl0_21
| spl0_28
| ~ spl0_224 ),
inference(rat,[],[s27,s2260,s19,s1745,s2593,s1176,s2298,s1483,s2299,s2479,s1348,s1574,s1006,s1733,s2930,s1092,s1245,s2023,s2929,s2552,s2591,s2920,s2506,s1003,s2480,s1265,s2925,s2574,s2773,s2408,s87,s2762,s2576,s102,s104,s2727,s60,s1778,s631,s1766,s407,s2738,s65,s1874,s291,s686,s2008,s2315,s2079,s2940,s1042,s737,s910,s367,s347,s138]) ).
cnf(s2944,plain,
( spl0_106
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2128,s2349,s833,s592,s2108,s90,s475,s719,s705,s2762,s2796,s102,s2773,s1774,s2727,s162,s783,s2943,s157,s1792,s2942,s2315,s2940,s25,s2937,s2935,s57,s1,s1145,s23,s2897,s2775,s774,s2912,s4,s367,s737,s138]) ).
cnf(s2945,plain,
( spl0_202
| ~ spl0_48
| ~ spl0_87
| ~ spl0_189
| ~ spl0_95 ),
inference(rat,[],[s1910,s2427,s2429]) ).
cnf(s2946,plain,
( spl0_50
| spl0_66
| spl0_112
| ~ spl0_198
| ~ spl0_147
| ~ spl0_189
| ~ spl0_77
| ~ spl0_287
| ~ spl0_95
| ~ spl0_106
| ~ spl0_21
| ~ spl0_224 ),
inference(rat,[],[s1733,s1724,s1245,s2945,s2762,s102,s1778,s2315,s2773,s2711,s87,s2576,s2231,s1433,s2479,s2727,s631,s407,s2128,s737,s138,s910,s367]) ).
cnf(s2947,plain,
( spl0_112
| ~ spl0_147
| ~ spl0_189
| ~ spl0_77
| ~ spl0_287
| ~ spl0_9
| ~ spl0_106
| ~ spl0_21
| ~ spl0_224 ),
inference(rat,[],[s1433,s2231,s2479,s2500,s2727,s88,s314,s2946,s1781,s2189,s1008,s377,s495,s737,s367]) ).
cnf(s2948,plain,
( ~ spl0_112
| ~ spl0_77
| ~ spl0_106
| ~ spl0_21 ),
inference(rat,[],[s220,s226]) ).
cnf(s2949,plain,
( ~ spl0_38
| ~ spl0_102
| ~ spl0_98
| spl0_40
| spl0_93
| spl0_66
| ~ spl0_87
| ~ spl0_189
| spl0_241
| ~ spl0_77
| ~ spl0_287
| spl0_111
| ~ spl0_9
| ~ spl0_180
| ~ spl0_224
| ~ spl0_2 ),
inference(rat,[],[s2349,s592,s718,s2417,s2725,s312,s2108,s1897,s2936,s1006,s1092,s2945,s2762,s2576,s102,s313,s1774,s2727,s815,s2189,s737,s910]) ).
cnf(s2950,plain,
( ~ spl0_72
| ~ spl0_102
| ~ spl0_76
| ~ spl0_180 ),
inference(rat,[],[s847,s403]) ).
cnf(s2951,plain,
( ~ spl0_25
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2349,s592,s718,s2417,s2725,s312,s2108,s2950,s2762,s2576,s102,s313,s2727,s1778,s631,s453,s2949,s879,s2300,s2817,s2315,s539,s535,s2947,s1781,s2128,s2948,s1003,s1842,s2919,s2058,s2831,s377,s1994,s2609,s2843,s543,s57,s23,s2897,s1,s2775,s1874,s774,s2912,s4,s2591,s2324,s2944,s737,s910,s367,s347]) ).
cnf(s2952,plain,
( ~ spl0_190
| ~ spl0_77
| ~ spl0_106
| ~ spl0_180 ),
inference(rat,[],[s1705,s1405]) ).
cnf(s2953,plain,
( ~ spl0_9
| ~ spl0_77
| ~ spl0_147
| ~ spl0_106
| ~ spl0_21
| ~ spl0_224 ),
inference(rat,[],[s2298,s1483,s2947,s377,s1994,s2591,s2324,s2948,s1003,s2952,s1874,s347,s367]) ).
cnf(s2954,plain,
( ~ spl0_31
| spl0_98
| ~ spl0_106
| ~ spl0_224 ),
inference(rat,[],[s2300,s2315,s2574,s320,s2591,s2324,s737,s367]) ).
cnf(s2955,plain,
( spl0_31
| spl0_76
| ~ spl0_21
| spl0_200
| ~ spl0_37 ),
inference(rat,[],[s457,s1355,s2773,s34,s535,s737]) ).
cnf(s2956,plain,
( spl0_76
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2953,s19,s2232,s787,s1008,s2954,s380,s2955,s535,s57,s23,s1,s1149,s2897,s2775,s774,s2912,s4,s2944,s737]) ).
cnf(s2959,plain,
( ~ spl0_38
| ~ spl0_287
| ~ spl0_102
| ~ spl0_238 ),
inference(rat,[],[s2479,s2727,s1739,s815]) ).
cnf(s2960,plain,
( ~ spl0_9
| ~ spl0_76
| ~ spl0_26
| ~ spl0_106
| ~ spl0_21
| ~ spl0_224
| ~ spl0_37 ),
inference(rat,[],[s2602,s2528,s359,s823,s453,s2959,s2481,s1931,s258,s2725,s312,s2108,s94,s2950,s2300,s2298,s2817,s2079,s2315,s1483,s1265,s539,s377,s1994,s2609,s1874,s2591,s2324,s1333,s737,s367]) ).
cnf(s2961,plain,
( ~ spl0_38
| spl0_112
| ~ spl0_77
| ~ spl0_76
| ~ spl0_26
| ~ spl0_286
| ~ spl0_21
| ~ spl0_224
| ~ spl0_6 ),
inference(rat,[],[s102,s2762,s1781,s1774,s573,s644,s319,s2773,s2574,s1265,s2928,s2727,s783,s2939,s737,s367]) ).
cnf(s2962,plain,
( ~ spl0_31
| spl0_84
| ~ spl0_48
| ~ spl0_87
| ~ spl0_76
| ~ spl0_26
| ~ spl0_106
| ~ spl0_180
| ~ spl0_224 ),
inference(rat,[],[s592,s2349,s2417,s718,s2725,s312,s2108,s2576,s2950,s313,s2079,s2954,s320,s2727,s737,s910]) ).
cnf(s2963,plain,
( spl0_84
| ~ spl0_48
| ~ spl0_77
| ~ spl0_29
| ~ spl0_20
| ~ spl0_76
| ~ spl0_26
| ~ spl0_106
| ~ spl0_21
| ~ spl0_224
| ~ spl0_6 ),
inference(rat,[],[s2528,s586,s2108,s2602,s1435,s2950,s579,s569,s2079,s41,s319,s2887,s2773,s2962,s1874,s2128,s2948,s737,s1333,s367]) ).
cnf(s2964,plain,
( ~ spl0_48
| ~ spl0_77
| ~ spl0_6
| ~ spl0_29
| ~ spl0_20
| ~ spl0_76
| ~ spl0_26
| ~ spl0_106
| ~ spl0_21
| ~ spl0_224 ),
inference(rat,[],[s407,s631,s314,s2963,s138]) ).
cnf(s2965,plain,
( ~ spl0_77
| ~ spl0_29
| spl0_9
| ~ spl0_76
| ~ spl0_26
| ~ spl0_106
| ~ spl0_21
| ~ spl0_17
| ~ spl0_224
| ~ spl0_6 ),
inference(rat,[],[s2964,s1824,s151,s2961,s2948,s2591,s2324,s19,s138,s367]) ).
cnf(s2966,plain,
( ~ spl0_31
| ~ spl0_142
| ~ spl0_38
| ~ spl0_29
| ~ spl0_76
| ~ spl0_26
| ~ spl0_106
| ~ spl0_180
| ~ spl0_224 ),
inference(rat,[],[s718,s577,s2725,s2216,s357,s312,s833,s2299,s2108,s2928,s1739,s2950,s1265,s2079,s2954,s2574,s320,s2591,s2324,s737,s367]) ).
cnf(s2967,plain,
( ~ spl0_142
| ~ spl0_38
| spl0_77
| ~ spl0_29
| ~ spl0_20
| ~ spl0_76
| ~ spl0_26
| ~ spl0_106
| ~ spl0_21
| ~ spl0_224
| ~ spl0_6 ),
inference(rat,[],[s1476,s2301,s1657,s2479,s1265,s1433,s2928,s2216,s220,s573,s2887,s2773,s2966,s1874,s2591,s2324,s367]) ).
cnf(s2968,plain,
( ~ spl0_38
| spl0_77
| ~ spl0_29
| ~ spl0_20
| ~ spl0_76
| ~ spl0_26
| ~ spl0_106
| ~ spl0_21
| ~ spl0_17
| ~ spl0_224
| ~ spl0_6 ),
inference(rat,[],[s2954,s2887,s879,s314,s815,s2727,s2967]) ).
cnf(s2969,plain,
( ~ spl0_31
| spl0_84
| ~ spl0_48
| ~ spl0_76
| ~ spl0_26
| ~ spl0_106
| ~ spl0_180
| ~ spl0_224 ),
inference(rat,[],[s1435,s325,s601,s2481,s357,s925,s577,s2417,s718,s2725,s312,s2108,s2576,s2950,s94,s313,s2079,s89,s2954,s320,s2727,s737,s910]) ).
cnf(s2970,plain,
( spl0_84
| spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2108,s1782,s2528,s356,s603,s586,s2299,s466,s2602,s1435,s2128,s1433,s1694,s579,s569,s220,s90,s716,s41,s2887,s2773,s2969,s2727,s1874,s2591,s2324,s176,s157,s1824,s151,s2968,s2965,s27,s1145,s19,s2960,s2956,s25,s2951,s2944,s774,s2912,s4,s57,s23,s2897,s1,s2775,s737,s1333,s367,s138]) ).
cnf(s2971,plain,
( spl0_7
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s879,s2954,s823,s2887,s407,s314,s2970,s19,s2960,s2956,s25,s2951,s2944,s774,s2912,s2775,s4,s57,s23,s2897,s1,s138]) ).
cnf(s2972,plain,
( ~ spl0_38
| spl0_84
| ~ spl0_25
| spl0_172
| spl0_174
| spl0_76
| ~ spl0_7
| ~ spl0_37 ),
inference(rat,[],[s2458,s2587,s2480,s1842,s2408,s458,s457,s1858,s2397,s1774,s1779,s104,s1780,s2114,s2500,s2570,s433,s2057,s367,s910,s1401,s1333,s1519,s495,s138]) ).
cnf(s2973,plain,
( ~ spl0_40
| ~ spl0_25
| ~ spl0_9
| ~ spl0_224 ),
inference(rat,[],[s1780,s2572,s102,s1775,s2114,s2762,s1433,s853,s1453,s2609,s2057,s1994,s1333,s1519,s495,s138,s1401]) ).
cnf(s2974,plain,
( ~ spl0_25
| ~ spl0_9
| ~ spl0_22
| spl0_76
| ~ spl0_7
| ~ spl0_224
| ~ spl0_37 ),
inference(rat,[],[s2972,s964,s1785,s2973,s2609,s1994]) ).
cnf(s2975,plain,
( ~ spl0_238
| ~ spl0_45
| ~ spl0_38
| spl0_172
| spl0_174 ),
inference(rat,[],[s104,s1780,s1775,s1918,s1739,s1333,s1519]) ).
cnf(s2976,plain,
( ~ spl0_77
| ~ spl0_66
| ~ spl0_15
| ~ spl0_38 ),
inference(rat,[],[s1781,s644,s250,s737,s367]) ).
cnf(s2977,plain,
( ~ spl0_72
| ~ spl0_69
| ~ spl0_181
| ~ spl0_102
| spl0_84 ),
inference(rat,[],[s843,s1582,s211]) ).
cnf(s2980,plain,
( ~ spl0_72
| ~ spl0_181
| ~ spl0_102
| spl0_77
| spl0_106
| ~ spl0_182 ),
inference(rat,[],[s843,s1535,s211]) ).
cnf(s2981,plain,
( ~ spl0_38
| spl0_84
| spl0_25
| spl0_172
| spl0_174
| spl0_106
| spl0_76
| ~ spl0_7
| spl0_1 ),
inference(rat,[],[s925,s362,s719,s2136,s2211,s2108,s2980,s34,s1688,s2846,s773,s1362,s458,s937,s2976,s104,s2762,s1774,s573,s457,s2408,s82,s1265,s2975,s2500,s433,s4,s878,s57,s23,s2897,s1,s535,s291,s2727,s737,s347,s910,s495]) ).
cnf(s2982,plain,
( ~ spl0_72
| ~ spl0_50
| ~ spl0_102
| ~ spl0_181
| ~ spl0_112
| ~ spl0_58 ),
inference(rat,[],[s251,s1592,s1669,s843,s403,s1782,s211]) ).
cnf(s2983,plain,
( spl0_79
| ~ spl0_77
| ~ spl0_99
| spl0_98
| ~ spl0_15
| ~ spl0_22
| ~ spl0_37 ),
inference(rat,[],[s1435,s2098,s329,s865,s737]) ).
cnf(s2984,plain,
( ~ spl0_77
| spl0_223
| ~ spl0_241
| ~ spl0_99
| spl0_98
| ~ spl0_66
| ~ spl0_15
| spl0_183
| ~ spl0_58
| ~ spl0_9
| ~ spl0_22
| ~ spl0_147
| spl0_1 ),
inference(rat,[],[s1353,s2467,s708,s1931,s2983,s2108,s2982,s65,s816,s1351,s252,s773,s818,s1781,s2189,s2552,s644,s1842,s4,s57,s23,s2897,s1,s737,s138,s347,s367]) ).
cnf(s2985,plain,
( spl0_84
| ~ spl0_9
| ~ spl0_22
| spl0_106
| spl0_76
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s925,s362,s719,s2136,s2211,s2108,s34,s2980,s1688,s2846,s773,s1362,s458,s937,s2984,s1455,s2585,s1780,s2315,s2454,s313,s1750,s102,s457,s1775,s2566,s2500,s2762,s2408,s1433,s853,s1453,s82,s1436,s1785,s2785,s157,s2981,s2727,s4,s878,s535,s291,s2609,s1994,s2974,s2971,s57,s23,s2897,s1,s737,s347,s910,s1333,s1519,s495,s138]) ).
cnf(s2986,plain,
( ~ spl0_96
| ~ spl0_181
| ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s1931,s842,s211]) ).
cnf(s2987,plain,
( ~ spl0_92
| ~ spl0_112
| ~ spl0_95
| ~ spl0_45 ),
inference(rat,[],[s2160,s1435,s358,s639,s737]) ).
cnf(s2988,plain,
( ~ spl0_72
| ~ spl0_102
| ~ spl0_58
| ~ spl0_84 ),
inference(rat,[],[s251,s1629,s1595,s403,s1782,s211,s751]) ).
cnf(s2989,plain,
( ~ spl0_71
| spl0_92
| ~ spl0_99
| ~ spl0_9
| ~ spl0_147
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s2221,s637,s258,s512,s2186]) ).
cnf(s2990,plain,
( ~ spl0_77
| ~ spl0_99
| ~ spl0_66
| ~ spl0_15
| ~ spl0_45
| ~ spl0_58
| ~ spl0_84
| ~ spl0_9
| ~ spl0_22
| ~ spl0_133
| ~ spl0_147
| ~ spl0_7
| spl0_1 ),
inference(rat,[],[s1435,s329,s709,s1676,s2011,s2988,s2108,s2989,s2987,s1781,s2189,s644,s57,s23,s2897,s1,s737,s367]) ).
cnf(s2991,plain,
( ~ spl0_9
| ~ spl0_22
| spl0_106
| spl0_76
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s475,s358,s2211,s2186,s2108,s2986,s2988,s773,s1362,s458,s937,s2990,s2315,s457,s102,s65,s2408,s1775,s2500,s2762,s816,s82,s1433,s853,s1453,s1436,s2785,s157,s453,s964,s965,s2985,s2974,s2609,s4,s57,s23,s2897,s1,s2971,s535,s291,s737,s347,s910,s495,s138]) ).
cnf(s2992,plain,
( ~ spl0_102
| ~ spl0_50
| ~ spl0_38
| ~ spl0_77
| spl0_84
| spl0_25
| spl0_106
| ~ spl0_147
| ~ spl0_7
| ~ spl0_224 ),
inference(rat,[],[s2408,s82,s2976,s2941,s104,s34,s1774,s2315,s2846,s1858,s2500,s433,s910,s737,s495]) ).
cnf(s2993,plain,
( ~ spl0_72
| ~ spl0_93
| spl0_102
| ~ spl0_29
| ~ spl0_22 ),
inference(rat,[],[s1676,s884]) ).
cnf(s2994,plain,
( ~ spl0_191
| spl0_226
| spl0_112
| ~ spl0_142
| spl0_106
| spl0_76 ),
inference(rat,[],[s1856,s94,s1745,s739,s1406,s2361,s2474,s2468,s1722]) ).
cnf(s2995,plain,
( ~ spl0_38
| ~ spl0_197
| ~ spl0_29
| ~ spl0_77
| spl0_84
| spl0_25
| spl0_9
| spl0_106
| spl0_162
| spl0_76
| ~ spl0_7
| ~ spl0_224
| spl0_23 ),
inference(rat,[],[s2591,s2303,s2610,s1857,s1754,s2287,s2163,s1004,s2994,s2079,s82,s1758,s2408,s1172,s644,s2852,s1361,s450,s1850,s2992,s65,s60,s1766,s1575,s2500,s250,s433,s535,s291,s19,s2727,s367,s1211,s347,s910,s737,s495]) ).
cnf(s2996,plain,
( ~ spl0_102
| ~ spl0_29
| ~ spl0_77
| spl0_98
| spl0_25
| ~ spl0_22
| spl0_106
| ~ spl0_147
| ~ spl0_7
| ~ spl0_224
| ~ spl0_37 ),
inference(rat,[],[s2467,s832,s2108,s1353,s971,s638,s2189,s2983,s644,s2408,s82,s2872,s2574,s34,s2315,s2846,s1858,s291,s737,s910]) ).
cnf(s2997,plain,
( spl0_79
| spl0_168
| ~ spl0_77
| ~ spl0_133
| ~ spl0_37 ),
inference(rat,[],[s1435,s709,s329,s737]) ).
cnf(s2998,plain,
( ~ spl0_77
| spl0_84
| ~ spl0_22
| spl0_106
| spl0_76
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1878,s2487,s1435,s2528,s601,s2602,s402,s2997,s2108,s2993,s2079,s82,s2408,s644,s1361,s356,s2011,s1850,s2996,s1785,s157,s2995,s1007,s2265,s27,s387,s764,s57,s23,s2897,s1,s2971,s786,s4,s535,s291,s47,s787,s19,s2991,s2727,s737,s1333,s910,s138]) ).
cnf(s2999,plain,
( spl0_84
| ~ spl0_22
| spl0_106
| spl0_76
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2186,s358,s791,s475,s2211,s2500,s2108,s790,s34,s2315,s2980,s1688,s2846,s1858,s773,s1362,s458,s937,s2998,s4,s878,s57,s23,s2897,s1,s2971,s535,s291,s495,s737,s347]) ).
cnf(s3000,plain,
( ~ spl0_77
| ~ spl0_22
| spl0_106
| spl0_76
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2379,s859,s2275,s2097,s2407,s2321,s1857,s2214,s2482,s2488,s507,s358,s2108,s2157,s1006,s402,s1677,s1172,s1623,s2997,s2852,s1361,s2011,s450,s1850,s2500,s2996,s2225,s27,s387,s764,s2971,s786,s535,s291,s47,s787,s19,s2991,s1694,s157,s2566,s1433,s453,s57,s23,s1,s65,s816,s1436,s964,s2897,s4,s965,s2999,s270,s495,s211,s737,s347,s138,s1519]) ).
cnf(s3001,plain,
( ~ spl0_22
| spl0_106
| spl0_76
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2186,s358,s791,s475,s2500,s2211,s790,s2108,s34,s2315,s2988,s2846,s1858,s1362,s458,s3000,s65,s816,s1436,s157,s964,s965,s2999,s4,s57,s23,s2897,s1,s2971,s535,s291,s495,s737,s347,s138]) ).
cnf(s3002,plain,
( ~ spl0_25
| ~ spl0_9
| ~ spl0_102
| spl0_84
| ~ spl0_21
| spl0_106
| spl0_76
| ~ spl0_7
| ~ spl0_224
| ~ spl0_37 ),
inference(rat,[],[s2480,s2408,s2920,s87,s88,s2576,s104,s1780,s2572,s1003,s157,s453,s2919,s2972,s2973,s2057,s1874,s686,s1774,s1858,s2574,s34,s2846,s535,s1994,s910,s1333,s1519,s347,s138,s1401]) ).
cnf(s3003,plain,
( ~ spl0_72
| spl0_68
| ~ spl0_58
| spl0_25
| ~ spl0_9
| ~ spl0_31
| ~ spl0_99
| ~ spl0_102
| spl0_84
| ~ spl0_21
| spl0_106
| ~ spl0_37 ),
inference(rat,[],[s251,s1770,s1592,s94,s65,s446,s103,s1582,s329,s1435,s2027,s644,s2408,s82,s1353,s2725,s2076,s2136,s258,s1782,s155,s2750,s686,s211,s751,s737,s910,s347]) ).
cnf(s3004,plain,
( ~ spl0_79
| ~ spl0_71
| spl0_25
| ~ spl0_9
| ~ spl0_31
| ~ spl0_99
| ~ spl0_102
| ~ spl0_21
| spl0_106
| ~ spl0_147
| ~ spl0_224 ),
inference(rat,[],[s2408,s644,s82,s2189,s2931,s2467,s312,s1353,s2725,s708,s1931,s686,s910,s737,s347]) ).
cnf(s3005,plain,
( ~ spl0_9
| ~ spl0_102
| spl0_84
| spl0_106
| spl0_76
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2151,s1435,s2469,s329,s180,s3004,s2108,s3003,s156,s157,s2981,s3002,s1994,s57,s23,s2897,s1,s291,s686,s774,s3001,s4,s2315,s1858,s2574,s34,s2846,s535,s2971,s737,s138,s347]) ).
cnf(s3006,plain,
( ~ spl0_102
| spl0_84
| spl0_106
| spl0_76
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2467,s1353,s2108,s791,s2136,s759,s2189,s2796,s934,s644,s2408,s82,s2931,s27,s787,s47,s19,s3005,s34,s2315,s510,s2846,s1858,s1146,s2971,s535,s1874,s686,s774,s3001,s4,s737,s910,s347]) ).
cnf(s3007,plain,
( ~ spl0_25
| ~ spl0_9
| ~ spl0_261
| spl0_84
| spl0_76
| ~ spl0_7
| ~ spl0_224
| ~ spl0_37 ),
inference(rat,[],[s157,s1607,s2972,s2973,s2609,s1994,s138]) ).
cnf(s3008,plain,
( ~ spl0_9
| spl0_84
| spl0_106
| spl0_76
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2528,s362,s2602,s2762,s402,s1453,s1607,s157,s2981,s3007,s708,s1994,s2609,s2971,s1359,s2108,s1529,s2997,s2011,s686,s774,s3001,s291,s57,s23,s1,s56,s2897,s4,s3006,s1333,s138,s737,s347]) ).
cnf(s3009,plain,
( spl0_84
| spl0_106
| spl0_76
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1003,s2028,s1705,s1092,s1222,s1291,s1007,s2200,s2165,s1080,s1125,s1818,s2164,s1256,s1006,s2317,s82,s1733,s1623,s2574,s2408,s2852,s2675,s644,s1361,s27,s387,s47,s19,s3008,s450,s1850,s3006,s57,s23,s2897,s1,s2971,s786,s291,s1874,s764,s686,s774,s3001,s4,s347,s910,s737,s1333]) ).
cnf(s3010,plain,
( ~ spl0_102
| ~ spl0_84
| ~ spl0_21
| spl0_106
| ~ spl0_147
| ~ spl0_7 ),
inference(rat,[],[s1353,s2467,s791,s2136,s2189,s2796,s644,s2408,s82,s2108,s2114,s2988,s790,s162,s157,s34,s2315,s815,s2846,s1858,s407,s631,s686,s737,s910,s495,s138,s347]) ).
cnf(s3011,plain,
( spl0_106
| spl0_76
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2407,s2275,s1265,s2379,s82,s358,s2114,s2500,s2574,s2408,s2219,s700,s690,s2315,s2098,s312,s1435,s2725,s859,s1878,s512,s2097,s2321,s2214,s2482,s507,s2108,s473,s1529,s2997,s2011,s450,s3010,s407,s1694,s631,s3009,s686,s774,s3001,s291,s56,s4,s57,s23,s2897,s1,s2971,s535,s495,s138,s910,s347,s737,s270,s211]) ).
cnf(s3013,plain,
( ~ spl0_9
| ~ spl0_77
| ~ spl0_99
| spl0_84
| ~ spl0_106
| ~ spl0_147
| ~ spl0_7
| ~ spl0_224
| ~ spl0_6 ),
inference(rat,[],[s1785,s433,s1433,s2576,s2479,s313,s774,s2298,s1483,s2300,s2953,s377,s1994,s2609,s2591,s2324,s2727,s910,s367]) ).
cnf(s3015,plain,
( spl0_239
| spl0_112
| ~ spl0_174
| spl0_93
| ~ spl0_142
| ~ spl0_286 ),
inference(rat,[],[s1684,s2762,s2613,s355,s2302,s2299,s2479]) ).
cnf(s3016,plain,
( ~ spl0_20
| spl0_67
| spl0_93
| ~ spl0_142
| ~ spl0_106
| spl0_76
| ~ spl0_7
| ~ spl0_224
| ~ spl0_36 ),
inference(rat,[],[s104,s2500,s1873,s1846,s1433,s3015,s663,s1530,s1354,s1355,s34,s2300,s2954,s787,s535,s2591,s2324,s2315,s495,s737,s367]) ).
cnf(s3017,plain,
( ~ spl0_72
| ~ spl0_26
| ~ spl0_31
| ~ spl0_21
| ~ spl0_106 ),
inference(rat,[],[s2778,s455]) ).
cnf(s3018,plain,
( spl0_93
| spl0_84
| spl0_76
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s791,s2725,s178,s312,s108,s2108,s3017,s82,s2773,s2408,s774,s87,s1785,s1784,s853,s433,s88,s2576,s313,s2058,s2300,s3013,s377,s2609,s19,s3016,s1774,s2315,s1,s878,s56,s2897,s4,s2971,s535,s2591,s2324,s3011,s2727,s737,s910,s347,s367]) ).
cnf(s3019,plain,
( ~ spl0_38
| ~ spl0_238
| ~ spl0_77
| ~ spl0_142
| ~ spl0_286 ),
inference(rat,[],[s2928,s250]) ).
cnf(s3020,plain,
( spl0_84
| spl0_76
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2299,s1433,s356,s1785,s157,s3019,s774,s2303,s2773,s458,s450,s457,s320,s1858,s3018,s2727,s57,s23,s2897,s1,s2971,s786,s4,s2591,s2324,s3011,s138,s347,s367]) ).
cnf(s3021,plain,
( spl0_57
| spl0_50
| ~ spl0_84
| spl0_76
| spl0_1 ),
inference(rat,[],[s964,s1436,s774,s816,s407,s4,s2897,s65,s138]) ).
cnf(s3022,plain,
( spl0_76
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s458,s823,s631,s3021,s314,s3020,s3011,s57,s23,s2897,s1]) ).
cnf(s3023,plain,
( ~ spl0_38
| ~ spl0_102
| ~ spl0_77
| spl0_84
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2591,s3015,s2610,s2872,s1433,s82,s1873,s47,s19,s2593,s2408,s1781,s2976,s104,s313,s2500,s250,s433,s3022,s2727,s2315,s1774,s1858,s2971,s367,s910,s737,s495]) ).
cnf(s3025,plain,
( ~ spl0_31
| spl0_25
| ~ spl0_22
| spl0_38
| spl0_67
| spl0_93
| ~ spl0_102
| ~ spl0_77
| ~ spl0_76
| ~ spl0_224 ),
inference(rat,[],[s1265,s82,s2506,s2408,s2589,s644,s2882,s1781,s355,s102,s2762,s89,s2574,s833,s1785,s910,s737,s367]) ).
cnf(s3026,plain,
( ~ spl0_22
| spl0_38
| spl0_67
| spl0_28
| ~ spl0_102
| ~ spl0_77
| ~ spl0_142
| ~ spl0_133
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2159,s2486,s2349,s592,s402,s2997,s717,s34,s3025,s2108,s2264,s27,s2128,s47,s19,s833,s2817,s2081,s1785,s57,s23,s2897,s1,s3022,s1858,s2971,s737,s367]) ).
cnf(s3027,plain,
( ~ spl0_25
| ~ spl0_180
| spl0_38
| spl0_67
| ~ spl0_77
| ~ spl0_142
| spl0_106
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s60,s65,s2913,s88,s1006,s2576,s1092,s104,s1766,s2479,s2840,s1780,s252,s2831,s2189,s1003,s2572,s1842,s453,s2593,s1994,s2919,s2843,s2973,s543,s4,s57,s23,s2897,s1,s3022,s291,s737,s910,s1333,s1519,s347]) ).
cnf(s3028,plain,
( ~ spl0_9
| spl0_25
| ~ spl0_21
| spl0_38
| spl0_67
| spl0_28
| spl0_93
| ~ spl0_77
| spl0_106
| ~ spl0_76
| ~ spl0_224
| ~ spl0_37 ),
inference(rat,[],[s82,s2408,s2943,s87,s88,s2576,s104,s1781,s252,s453,s2817,s2593,s157,s910,s737,s367,s138]) ).
cnf(s3029,plain,
( spl0_40
| ~ spl0_20
| spl0_25
| ~ spl0_21
| spl0_38
| spl0_67
| spl0_28
| spl0_106
| ~ spl0_76
| ~ spl0_224
| ~ spl0_37 ),
inference(rat,[],[s2943,s790,s82,s2576,s2773,s2408,s104,s933,s1873,s453,s157,s27,s910,s138]) ).
cnf(s3030,plain,
( ~ spl0_241
| ~ spl0_180
| ~ spl0_77
| ~ spl0_281 ),
inference(rat,[],[s2552,s2023,s1842]) ).
cnf(s3031,plain,
( ~ spl0_102
| ~ spl0_77
| spl0_84
| spl0_106
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2591,s2526,s2506,s2309,s2488,s1455,s2454,s2456,s2587,s3030,s2128,s2479,s2566,s833,s1433,s3029,s19,s3028,s3027,s1874,s774,s3026,s157,s3023,s1774,s510,s1858,s1146,s4,s57,s23,s2897,s1,s2971,s2008,s3022,s291,s2727,s367,s1519,s138]) ).
cnf(s3032,plain,
( ~ spl0_9
| ~ spl0_71
| ~ spl0_79
| ~ spl0_76 ),
inference(rat,[],[s1353,s2467,s2315,s2189,s708,s1931,s539,s2593,s737]) ).
cnf(s3033,plain,
( ~ spl0_38
| spl0_183
| ~ spl0_20
| ~ spl0_71
| ~ spl0_79
| ~ spl0_77
| ~ spl0_142
| ~ spl0_133
| ~ spl0_7 ),
inference(rat,[],[s719,s2486,s2349,s592,s473,s65,s2128,s2472,s250,s433,s367,s495]) ).
cnf(s3034,plain,
( spl0_130
| spl0_143
| ~ spl0_58
| ~ spl0_71
| ~ spl0_77
| spl0_84 ),
inference(rat,[],[s2487,s1878,s2528,s1435,s2602,s601,s2727,s737,s1333]) ).
cnf(s3035,plain,
( ~ spl0_77
| spl0_84
| spl0_106
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s402,s1607,s3034,s356,s157,s3033,s2854,s808,s1364,s82,s2055,s2408,s644,s1361,s47,s19,s3032,s2108,s1529,s2997,s2011,s1359,s1850,s3031,s56,s4,s57,s23,s2897,s1,s2971,s3022,s291,s2727,s138,s737,s910,s347]) ).
cnf(s3036,plain,
( spl0_84
| spl0_106
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1873,s104,s19,s2500,s3032,s433,s2481,s1785,s94,s833,s2128,s2349,s592,s925,s475,s719,s2211,s1774,s2108,s1858,s2980,s1850,s1688,s774,s773,s1362,s686,s937,s3035,s2727,s4,s878,s23,s2897,s2971,s3022,s291,s495,s367,s737,s347]) ).
cnf(s3037,plain,
( spl0_106
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1850,s1362,s823,s631,s1784,s427,s783,s3036,s291,s4,s878,s2897,s3022,s347]) ).
cnf(s3038,plain,
( ~ spl0_9
| spl0_38
| spl0_93
| ~ spl0_102
| spl0_84
| ~ spl0_76
| spl0_1 ),
inference(rat,[],[s2528,s2602,s2481,s361,s3032,s2108,s2950,s773,s1788,s453,s94,s2817,s57,s23,s2897,s1,s1333,s737,s138]) ).
cnf(s3039,plain,
( ~ spl0_22
| ~ spl0_20
| spl0_38
| spl0_93
| ~ spl0_142
| ~ spl0_106
| ~ spl0_76
| ~ spl0_7
| ~ spl0_224 ),
inference(rat,[],[s718,s577,s2725,s357,s312,s2108,s2264,s27,s1526,s1273,s1455,s2613,s2300,s2302,s2762,s3015,s2479,s355,s1433,s542,s2882,s1785,s2591,s2324,s2315,s737,s1333,s367]) ).
cnf(s3040,plain,
( spl0_40
| ~ spl0_21
| ~ spl0_199
| spl0_25
| spl0_84
| ~ spl0_106
| ~ spl0_76
| ~ spl0_224
| ~ spl0_37 ),
inference(rat,[],[s2969,s82,s2773,s2408,s90,s2762,s1356,s1874,s910]) ).
cnf(s3041,plain,
( ~ spl0_102
| spl0_84
| ~ spl0_77
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s321,s718,s312,s577,s2762,s2300,s357,s355,s3015,s2299,s1433,s3040,s2108,s2950,s2948,s1874,s774,s3039,s1364,s47,s19,s3038,s2315,s3023,s1858,s4,s57,s23,s2897,s1,s2971,s3022,s2591,s2324,s3037,s2727,s737,s367]) ).
cnf(s3042,plain,
( ~ spl0_9
| ~ spl0_163
| ~ spl0_261
| spl0_84
| ~ spl0_77
| ~ spl0_106
| ~ spl0_76
| ~ spl0_224 ),
inference(rat,[],[s3019,s2473,s153,s2298,s1607,s1483,s2817,s539,s377,s1994,s2591,s2324,s2727,s367]) ).
cnf(s3043,plain,
( spl0_93
| ~ spl0_45
| ~ spl0_38
| spl0_25
| spl0_102
| spl0_84
| ~ spl0_77 ),
inference(rat,[],[s2976,s2408,s104,s82,s1774,s2079,s910]) ).
cnf(s3044,plain,
( spl0_40
| spl0_48
| ~ spl0_93
| spl0_98
| ~ spl0_87
| ~ spl0_20
| spl0_84
| spl0_187
| ~ spl0_106
| ~ spl0_7
| ~ spl0_36 ),
inference(rat,[],[s2108,s2528,s1849,s586,s605,s2602,s1435,s704,s569,s2189,s1530,s1165,s510,s27,s2216,s737,s1333]) ).
cnf(s3045,plain,
( ~ spl0_72
| ~ spl0_22
| ~ spl0_93
| ~ spl0_20
| ~ spl0_106
| ~ spl0_76
| ~ spl0_7 ),
inference(rat,[],[s27,s388,s2264,s1881,s270]) ).
cnf(s3046,plain,
( ~ spl0_38
| spl0_84
| ~ spl0_77
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s666,s577,s504,s357,s497,s2108,s3045,s2299,s1433,s3044,s2078,s774,s82,s2773,s2408,s319,s3043,s2613,s2954,s2302,s313,s2473,s2303,s2128,s2500,s3019,s250,s433,s56,s2971,s2591,s2324,s1374,s2897,s2727,s19,s47,s3042,s450,s1359,s3041,s4,s3037,s3022,s737,s910,s367,s495,s347]) ).
cnf(s3047,plain,
( spl0_84
| ~ spl0_77
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1433,s2299,s1607,s356,s157,s3046,s1359,s3041,s2727,s4,s2591,s2324,s3037,s138,s347,s367]) ).
cnf(s3048,plain,
( ~ spl0_77
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1784,s631,s427,s314,s3047,s878,s2897,s3022,s3037]) ).
cnf(s3049,plain,
( ~ spl0_45
| spl0_93
| spl0_84
| ~ spl0_106
| ~ spl0_224 ),
inference(rat,[],[s3015,s1433,s542,s1873,s19,s2609,s2300,s104,s313,s2591,s2324,s2727,s2315,s1774,s737,s367]) ).
cnf(s3050,plain,
( ~ spl0_102
| spl0_84
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s321,s718,s312,s2762,s577,s2300,s355,s357,s3015,s2299,s2108,s1433,s542,s2950,s3040,s1874,s774,s3039,s1364,s47,s19,s3038,s433,s2576,s3049,s2315,s1858,s4,s57,s23,s2897,s1,s2971,s3022,s2591,s2324,s3037,s2727,s737,s910,s367]) ).
cnf(s3051,plain,
( spl0_112
| ~ spl0_38
| ~ spl0_163
| spl0_84
| spl0_77
| ~ spl0_286 ),
inference(rat,[],[s2572,s2613,s2562,s1694,s2302,s2301,s466,s2473,s2303,s2928,s2727,s1401,s138]) ).
cnf(s3052,plain,
( ~ spl0_38
| ~ spl0_163
| spl0_84
| spl0_77
| ~ spl0_106
| ~ spl0_76
| ~ spl0_7
| ~ spl0_224 ),
inference(rat,[],[s2472,s1432,s65,s1679,s220,s3051,s19,s539,s2954,s3049,s313,s2500,s433,s2591,s2324,s495,s367]) ).
cnf(s3053,plain,
( spl0_84
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s1433,s2299,s1607,s356,s157,s3052,s450,s1359,s3050,s2727,s4,s2971,s3022,s2591,s2324,s3037,s3048,s138,s347,s367]) ).
cnf(s3054,plain,
( ~ spl0_9
| ~ spl0_45
| ~ spl0_38
| ~ spl0_163
| ~ spl0_106
| ~ spl0_224 ),
inference(rat,[],[s2473,s2298,s2975,s1483,s377,s1994,s2609,s2591,s2324,s367]) ).
cnf(s3055,plain,
( ~ spl0_20
| ~ spl0_224
| spl0_1 ),
inference(rat,[],[s2200,s2338,s2053,s1092,s1004,s1006,s1907,s1623,s1080,s2284,s1125,s1721,s2174,s1003,s1007,s2263,s2265,s774,s2887,s320,s1364,s2055,s2408,s933,s27,s2591,s2324,s450,s823,s1784,s314,s3037,s878,s510,s1530,s451,s427,s3022,s3053,s2971,s56,s2897,s4,s495,s910,s347,s737,s367]) ).
cnf(s3056,plain,
( ~ spl0_72
| ~ spl0_180
| spl0_92
| ~ spl0_21
| ~ spl0_15
| ~ spl0_238
| spl0_174
| ~ spl0_106
| ~ spl0_76 ),
inference(rat,[],[s2379,s2275,s859,s2407,s274,s847,s455,s495,s270]) ).
cnf(s3057,plain,
( ~ spl0_224
| spl0_1 ),
inference(rat,[],[s263,s835,s2186,s2108,s3056,s773,s2987,s774,s1788,s1781,s2882,s3054,s34,s102,s355,s2500,s33,s2762,s87,s933,s90,s1779,s2408,s2473,s82,s2298,s2079,s2315,s2058,s2189,s1483,s539,s377,s1994,s2609,s19,s3055,s510,s450,s1530,s823,s451,s1784,s427,s314,s3053,s3048,s2591,s2324,s3037,s3022,s2971,s878,s56,s4,s57,s23,s2897,s1,s737,s138,s367,s495,s910,s347]) ).
cnf(s3058,plain,
( spl0_40
| ~ spl0_9
| ~ spl0_17
| spl0_43
| spl0_68
| ~ spl0_77
| spl0_76
| ~ spl0_38
| spl0_84
| spl0_1 ),
inference(rat,[],[s2800,s60,s824,s65,s1265,s1345,s25,s2552,s2843,s1842,s2585,s2465,s773,s1430,s1727,s1739,s1583,s446,s94,s23,s2897,s1288,s3057,s535,s250,s910,s1401]) ).
cnf(s3059,plain,
( spl0_93
| ~ spl0_45
| spl0_200
| ~ spl0_77
| spl0_76
| ~ spl0_38
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2057,s1291,s1842,s2585,s2465,s1430,s2506,s2589,s82,s2300,s2872,s2408,s2871,s1781,s2976,s34,s104,s1355,s1774,s2315,s23,s2897,s1288,s3057,s535,s250,s313,s1401,s1333,s910,s737,s367]) ).
cnf(s3060,plain,
( ~ spl0_286
| ~ spl0_40
| spl0_112
| ~ spl0_147
| spl0_106
| spl0_224 ),
inference(rat,[],[s1484,s1455,s2302,s2527,s2489]) ).
cnf(s3061,plain,
( ~ spl0_72
| ~ spl0_67
| ~ spl0_95
| ~ spl0_93
| spl0_98
| spl0_68
| ~ spl0_77
| spl0_84
| ~ spl0_37 ),
inference(rat,[],[s65,s103,s1777,s1582,s329,s1435,s605,s1849,s737]) ).
cnf(s3062,plain,
( ~ spl0_79
| ~ spl0_71
| ~ spl0_95
| ~ spl0_40
| ~ spl0_9
| ~ spl0_142 ),
inference(rat,[],[s592,s2467,s402,s1931]) ).
cnf(s3063,plain,
( ~ spl0_9
| spl0_7
| ~ spl0_77
| spl0_76
| ~ spl0_38
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2159,s2349,s2491,s609,s180,s3062,s2108,s3061,s104,s1781,s2189,s2610,s1265,s25,s2057,s2338,s1842,s2585,s2465,s1430,s2506,s2589,s3060,s3059,s313,s2500,s853,s2081,s3058,s57,s23,s1,s1288,s3057,s2727,s535,s249,s1763,s2128,s1766,s250,s1149,s2897,s2775,s737,s367,s1401,s1333,s910,s495]) ).
cnf(s3064,plain,
( spl0_40
| ~ spl0_31
| ~ spl0_180
| ~ spl0_26
| ~ spl0_29
| spl0_68
| ~ spl0_77
| spl0_287
| ~ spl0_38
| spl0_224 ),
inference(rat,[],[s2552,s1704,s1842,s1265,s2585,s1739,s2456,s1583,s1683,s446,s2216,s94,s2128,s250,s910,s367]) ).
cnf(s3065,plain,
( spl0_7
| ~ spl0_77
| spl0_76
| ~ spl0_38
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s1842,s2552,s2585,s1704,s2465,s1265,s1430,s2506,s2589,s3060,s3064,s2955,s774,s773,s25,s27,s866,s2667,s47,s19,s3063,s2775,s1145,s1149,s4,s57,s23,s2897,s1,s1288,s2489,s535,s3057,s250,s249,s1763,s910,s367]) ).
cnf(s3066,plain,
( ~ spl0_77
| spl0_76
| spl0_1
| ~ spl0_38
| spl0_84
| spl0_106
| ~ spl0_102 ),
inference(rat,[],[s3059,s2500,s1354,s433,s1146,s1858,s3065,s495]) ).
cnf(s3067,plain,
( spl0_7
| ~ spl0_79
| ~ spl0_112
| ~ spl0_82
| ~ spl0_181
| spl0_77
| ~ spl0_147
| spl0_1 ),
inference(rat,[],[s2763,s1612,s362,s1008,s708,s2232,s2667,s2775,s737]) ).
cnf(s3068,plain,
( spl0_76
| ~ spl0_38
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2186,s791,s358,s34,s2500,s2315,s2846,s433,s1858,s3067,s2366,s2274,s1430,s2462,s2506,s1435,s2589,s2128,s601,s2299,s2349,s357,s592,s925,s577,s475,s719,s2211,s2108,s2980,s1727,s1688,s773,s1362,s937,s3066,s535,s4,s878,s23,s2897,s1288,s3057,s291,s2727,s495,s737,s910,s367,s1401,s347]) ).
cnf(s3069,plain,
( ~ spl0_9
| spl0_68
| ~ spl0_77
| ~ spl0_76
| ~ spl0_38
| spl0_84
| ~ spl0_133
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2108,s3032,s2950,s2997,s773,s824,s1727,s65,s1583,s88,s446,s2576,s94,s104,s2817,s1774,s1781,s539,s2593,s57,s23,s2897,s1,s3057,s250,s737,s1401,s910,s367]) ).
cnf(s3070,plain,
( spl0_40
| spl0_67
| ~ spl0_26
| ~ spl0_20
| spl0_68
| ~ spl0_38
| spl0_224 ),
inference(rat,[],[s1265,s1846,s1739,s2576,s1583,s104,s446,s1873,s94,s910]) ).
cnf(s3071,plain,
( ~ spl0_286
| ~ spl0_52
| spl0_93
| ~ spl0_26
| ~ spl0_77
| ~ spl0_38
| ~ spl0_142 ),
inference(rat,[],[s1846,s3015,s1265,s3019,s250]) ).
cnf(s3072,plain,
( ~ spl0_52
| ~ spl0_285
| spl0_93
| ~ spl0_26
| ~ spl0_77
| ~ spl0_38
| ~ spl0_142
| ~ spl0_102 ),
inference(rat,[],[s1935,s2457,s2456,s2189,s2479,s2610,s1846,s1265,s2506,s2589,s3071,s2128,s250,s737,s910,s367]) ).
cnf(s3073,plain,
( spl0_83
| spl0_130 ),
inference(rat,[],[s2602,s1333]) ).
cnf(s3077,plain,
( spl0_283
| spl0_286 ),
inference(rat,[],[s2591,s367]) ).
cnf(s3078,plain,
( spl0_283
| spl0_286 ),
inference(rat,[],[s2589,s910]) ).
cnf(s3079,plain,
( spl0_241
| spl0_285 ),
inference(rat,[],[s2587,s367]) ).
cnf(s3080,plain,
( spl0_241
| spl0_285 ),
inference(rat,[],[s2585,s910]) ).
cnf(s3084,plain,
( spl0_45
| spl0_52 ),
inference(rat,[],[s2576,s910]) ).
cnf(s3086,plain,
( spl0_227
| spl0_239 ),
inference(rat,[],[s2566,s1519]) ).
cnf(s3104,plain,
( spl0_45
| spl0_52 ),
inference(rat,[],[s2500,s495]) ).
cnf(s3108,plain,
( ~ spl0_44
| spl0_52
| spl0_183
| ~ spl0_20 ),
inference(rat,[],[s2472,s495]) ).
cnf(s3120,plain,
( spl0_14
| spl0_15 ),
inference(rat,[],[s2408,s910]) ).
cnf(s3122,plain,
( spl0_233
| spl0_238 ),
inference(rat,[],[s2397,s1401]) ).
cnf(s3133,plain,
( spl0_136
| spl0_137 ),
inference(rat,[],[s2321,s211]) ).
cnf(s3134,plain,
( spl0_171
| spl0_174 ),
inference(rat,[],[s2317,s1333]) ).
cnf(s3135,plain,
( spl0_93
| spl0_99 ),
inference(rat,[],[s2315,s737]) ).
cnf(s3141,plain,
( ~ spl0_190
| ~ spl0_195
| ~ spl0_95
| spl0_172
| spl0_287 ),
inference(rat,[],[s2295,s495]) ).
cnf(s3151,plain,
( ~ spl0_192
| ~ spl0_196
| spl0_112
| ~ spl0_255
| spl0_287 ),
inference(rat,[],[s2282,s495]) ).
cnf(s3158,plain,
( spl0_294
| spl0_295 ),
inference(rat,[],[s2275,s495]) ).
cnf(s3159,plain,
( spl0_292
| spl0_293 ),
inference(rat,[],[s2274,s495]) ).
cnf(s3180,plain,
( spl0_95
| spl0_111 ),
inference(rat,[],[s2189,s737]) ).
cnf(s3183,plain,
( spl0_283
| spl0_286 ),
inference(rat,[],[s2175,s367]) ).
cnf(s3184,plain,
( spl0_241
| spl0_285 ),
inference(rat,[],[s2172,s367]) ).
cnf(s3186,plain,
( spl0_241
| spl0_285 ),
inference(rat,[],[s2170,s910]) ).
cnf(s3190,plain,
( spl0_87
| spl0_112 ),
inference(rat,[],[s2128,s367]) ).
cnf(s3196,plain,
( spl0_57
| ~ spl0_25
| spl0_52 ),
inference(rat,[],[s2115,s910]) ).
cnf(s3197,plain,
( spl0_57
| ~ spl0_25
| spl0_52 ),
inference(rat,[],[s2114,s138,s495]) ).
cnf(s3200,plain,
( spl0_71
| spl0_72 ),
inference(rat,[],[s2108,s737]) ).
cnf(s3201,plain,
( ~ spl0_130
| ~ spl0_153
| spl0_79
| ~ spl0_48 ),
inference(rat,[],[s2102,s270]) ).
cnf(s3202,plain,
( ~ spl0_86
| ~ spl0_153
| spl0_79
| ~ spl0_48 ),
inference(rat,[],[s2101,s270]) ).
cnf(s3219,plain,
( ~ spl0_25
| spl0_111
| spl0_77 ),
inference(rat,[],[s2058,s737,s347]) ).
cnf(s3220,plain,
( ~ spl0_25
| spl0_266
| spl0_172 ),
inference(rat,[],[s2057,s1333,s1401]) ).
cnf(s3268,plain,
( spl0_112
| ~ spl0_278
| spl0_106 ),
inference(rat,[],[s1834,s367]) ).
cnf(s3273,plain,
( ~ spl0_68
| spl0_105
| ~ spl0_72
| ~ spl0_112 ),
inference(rat,[],[s1822,s347]) ).
cnf(s3274,plain,
( ~ spl0_68
| spl0_105
| ~ spl0_72
| ~ spl0_112 ),
inference(rat,[],[s1820,s1333]) ).
cnf(s3276,plain,
( spl0_89
| spl0_96
| ~ spl0_25 ),
inference(rat,[],[s1815,s270,s211]) ).
cnf(s3287,plain,
( spl0_57
| spl0_40
| spl0_278
| spl0_1 ),
inference(rat,[],[s1794,s138]) ).
cnf(s3291,plain,
( ~ spl0_181
| spl0_38
| spl0_40 ),
inference(rat,[],[s1788,s138]) ).
cnf(s3292,plain,
( ~ spl0_66
| spl0_111
| spl0_112 ),
inference(rat,[],[s1781,s367,s737]) ).
cnf(s3293,plain,
( spl0_230
| spl0_172
| ~ spl0_66 ),
inference(rat,[],[s1780,s1519,s1333]) ).
cnf(s3294,plain,
( ~ spl0_124
| spl0_89
| ~ spl0_105
| ~ spl0_40 ),
inference(rat,[],[s1770,s751,s211]) ).
cnf(s3296,plain,
( ~ spl0_118
| ~ spl0_77
| spl0_106 ),
inference(rat,[],[s1763,s367]) ).
cnf(s3309,plain,
( ~ spl0_181
| ~ spl0_239
| ~ spl0_38
| spl0_224 ),
inference(rat,[],[s1727,s1401]) ).
cnf(s3319,plain,
( spl0_56
| spl0_57 ),
inference(rat,[],[s1694,s138]) ).
cnf(s3329,plain,
( ~ spl0_124
| spl0_89
| ~ spl0_72
| ~ spl0_112 ),
inference(rat,[],[s1667,s751,s211]) ).
cnf(s3337,plain,
( ~ spl0_124
| spl0_266
| spl0_230 ),
inference(rat,[],[s1655,s737]) ).
cnf(s3344,plain,
( ~ spl0_124
| spl0_112
| spl0_77 ),
inference(rat,[],[s1646,s495]) ).
cnf(s3348,plain,
( ~ spl0_124
| ~ spl0_105
| ~ spl0_23
| ~ spl0_50 ),
inference(rat,[],[s1636,s751,s211]) ).
cnf(s3354,plain,
( ~ spl0_124
| spl0_89
| ~ spl0_72
| ~ spl0_84 ),
inference(rat,[],[s1629,s751,s211]) ).
cnf(s3360,plain,
( ~ spl0_186
| spl0_208
| ~ spl0_192 ),
inference(rat,[],[s1620,s1211]) ).
cnf(s3361,plain,
( ~ spl0_195
| ~ spl0_153
| ~ spl0_174
| spl0_204 ),
inference(rat,[],[s1619,s1211]) ).
cnf(s3362,plain,
( ~ spl0_187
| spl0_208
| ~ spl0_192 ),
inference(rat,[],[s1618,s211]) ).
cnf(s3364,plain,
( ~ spl0_153
| spl0_174
| spl0_224 ),
inference(rat,[],[s1616,s1333]) ).
cnf(s3376,plain,
( ~ spl0_42
| spl0_52
| spl0_9 ),
inference(rat,[],[s1575,s495]) ).
cnf(s3391,plain,
( ~ spl0_42
| ~ spl0_72
| ~ spl0_52
| ~ spl0_111
| ~ spl0_79 ),
inference(rat,[],[s1554,s367]) ).
cnf(s3395,plain,
( ~ spl0_42
| ~ spl0_174
| ~ spl0_52
| spl0_224 ),
inference(rat,[],[s1550,s1519]) ).
cnf(s3397,plain,
( ~ spl0_195
| ~ spl0_226
| ~ spl0_42
| spl0_224 ),
inference(rat,[],[s1548,s1519]) ).
cnf(s3407,plain,
( spl0_172
| ~ spl0_28
| spl0_223 ),
inference(rat,[],[s1526,s1333]) ).
cnf(s3415,plain,
( spl0_230
| spl0_255 ),
inference(rat,[],[s1488,s138]) ).
cnf(s3419,plain,
( ~ spl0_32
| ~ spl0_266 ),
inference(rat,[],[s1479,s1333]) ).
cnf(s3431,plain,
( spl0_73
| spl0_74 ),
inference(rat,[],[s1435,s737]) ).
cnf(s3439,plain,
( spl0_193
| spl0_77
| ~ spl0_147 ),
inference(rat,[],[s1365,s347]) ).
cnf(s3440,plain,
( spl0_199
| spl0_93
| ~ spl0_20 ),
inference(rat,[],[s1364,s737]) ).
cnf(s3441,plain,
( spl0_262
| spl0_77
| ~ spl0_6
| ~ spl0_133 ),
inference(rat,[],[s1362,s347]) ).
cnf(s3442,plain,
( spl0_262
| spl0_111
| ~ spl0_133
| ~ spl0_20 ),
inference(rat,[],[s1361,s737]) ).
cnf(s3443,plain,
( spl0_102
| spl0_261
| ~ spl0_6 ),
inference(rat,[],[s1359,s347]) ).
cnf(s3444,plain,
( ~ spl0_11
| ~ spl0_147
| spl0_93
| spl0_200 ),
inference(rat,[],[s1355,s737]) ).
cnf(s3445,plain,
( spl0_167
| ~ spl0_147
| ~ spl0_4
| spl0_102 ),
inference(rat,[],[s1351,s347]) ).
cnf(s3446,plain,
( ~ spl0_28
| ~ spl0_111
| ~ spl0_241
| spl0_223 ),
inference(rat,[],[s1305,s347]) ).
cnf(s3449,plain,
( spl0_171
| spl0_174 ),
inference(rat,[],[s1280,s347]) ).
cnf(s3459,plain,
( ~ spl0_28
| spl0_111
| spl0_106 ),
inference(rat,[],[s1163,s737]) ).
cnf(s3465,plain,
( ~ spl0_184
| spl0_106
| ~ spl0_102 ),
inference(rat,[],[s1152,s737]) ).
cnf(s3466,plain,
( ~ spl0_185
| spl0_106
| ~ spl0_102 ),
inference(rat,[],[s1151,s138]) ).
cnf(s3481,plain,
( ~ spl0_194
| ~ spl0_202
| spl0_241 ),
inference(rat,[],[s1092,s910]) ).
cnf(s3499,plain,
( spl0_198
| ~ spl0_147
| spl0_111 ),
inference(rat,[],[s1008,s737]) ).
cnf(s3500,plain,
( spl0_196
| spl0_197 ),
inference(rat,[],[s1007,s737]) ).
cnf(s3501,plain,
( spl0_194
| spl0_195 ),
inference(rat,[],[s1006,s737]) ).
cnf(s3503,plain,
( spl0_191
| spl0_192 ),
inference(rat,[],[s1004,s347]) ).
cnf(s3504,plain,
( spl0_189
| spl0_190 ),
inference(rat,[],[s1003,s347]) ).
cnf(s3513,plain,
( ~ spl0_28
| spl0_52
| spl0_50 ),
inference(rat,[],[s986,s495]) ).
cnf(s3538,plain,
( ~ spl0_42
| ~ spl0_111
| ~ spl0_76
| ~ spl0_84 ),
inference(rat,[],[s883,s495]) ).
cnf(s3539,plain,
( ~ spl0_42
| spl0_79
| ~ spl0_72
| ~ spl0_84 ),
inference(rat,[],[s882,s751]) ).
cnf(s3549,plain,
( spl0_94
| spl0_127 ),
inference(rat,[],[s859,s270]) ).
cnf(s3554,plain,
( spl0_79
| ~ spl0_181
| ~ spl0_102
| ~ spl0_72 ),
inference(rat,[],[s843,s211]) ).
cnf(s3555,plain,
( ~ spl0_96
| spl0_79
| ~ spl0_7
| ~ spl0_181 ),
inference(rat,[],[s842,s211]) ).
cnf(s3562,plain,
( spl0_57
| ~ spl0_44
| ~ spl0_6
| spl0_183 ),
inference(rat,[],[s816,s138]) ).
cnf(s3578,plain,
( ~ spl0_151
| ~ spl0_77
| spl0_106 ),
inference(rat,[],[s764,s737]) ).
cnf(s3584,plain,
( spl0_31
| ~ spl0_93
| spl0_106
| ~ spl0_21 ),
inference(rat,[],[s700,s347]) ).
cnf(s3585,plain,
( ~ spl0_111
| spl0_31
| ~ spl0_21
| spl0_106 ),
inference(rat,[],[s2675,s347]) ).
cnf(s3629,plain,
( ~ spl0_151
| ~ spl0_57
| ~ spl0_84
| ~ spl0_106 ),
inference(rat,[],[s532,s495]) ).
cnf(s3634,plain,
( spl0_89
| spl0_159 ),
inference(rat,[],[s505,s211]) ).
cnf(s3638,plain,
( spl0_167
| spl0_38
| ~ spl0_4
| ~ spl0_61 ),
inference(rat,[],[s452,s138]) ).
cnf(s3639,plain,
( spl0_102
| spl0_163 ),
inference(rat,[],[s450,s347]) ).
cnf(s3640,plain,
( spl0_57
| ~ spl0_61
| spl0_165 ),
inference(rat,[],[s445,s138]) ).
cnf(s3646,plain,
( spl0_57
| spl0_50
| ~ spl0_21 ),
inference(rat,[],[s407,s138]) ).
cnf(s3647,plain,
( spl0_96
| ~ spl0_28
| ~ spl0_72
| ~ spl0_106 ),
inference(rat,[],[s388,s270]) ).
cnf(s3652,plain,
( spl0_93
| spl0_99 ),
inference(rat,[],[s306,s138]) ).
cnf(s3658,plain,
( ~ spl0_21
| ~ spl0_112
| spl0_50
| spl0_106 ),
inference(rat,[],[s2738,s138]) ).
cnf(s3674,plain,
( spl0_95
| spl0_111 ),
inference(rat,[],[s184,s138]) ).
cnf(s3675,plain,
( spl0_38
| spl0_58 ),
inference(rat,[],[s157,s138]) ).
cnf(s3676,plain,
( spl0_103
| spl0_38
| ~ spl0_6 ),
inference(rat,[],[s151,s138]) ).
cnf(s3679,plain,
( spl0_79
| ~ spl0_31
| ~ spl0_71
| ~ spl0_29
| ~ spl0_77
| ~ spl0_133
| ~ spl0_37 ),
inference(rat,[],[s178,s828,s2134,s2997]) ).
cnf(s3680,plain,
( spl0_7
| ~ spl0_77
| ~ spl0_38
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2528,s362,s3073,s638,s402,s3679,s2762,s89,s2773,s2976,s104,s3104,s3072,s3070,s1774,s3079,s3200,s2940,s3030,s2950,s774,s773,s25,s27,s866,s2667,s2775,s1145,s4,s57,s23,s2897,s1,s3057,s2727,s2008,s19,s47,s3069,s249,s3296,s3068,s291]) ).
cnf(s3681,plain,
( ~ spl0_77
| ~ spl0_38
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s3015,s3077,s1345,s2610,s1531,s2872,s82,s3120,s3292,s2976,s65,s104,s313,s3108,s3104,s1774,s3135,s433,s1858,s3680,s47,s19,s3069,s821,s1766,s249,s250,s3296,s56,s2897,s4,s3057,s291,s2727,s3068]) ).
cnf(s3682,plain,
( ~ spl0_38
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s104,s3104,s1774,s433,s1858,s1873,s2667,s19,s3032,s2481,s94,s833,s3190,s2349,s592,s925,s475,s719,s2211,s3200,s2980,s1688,s773,s3441,s937,s3681,s3068,s4,s878,s23,s2897,s291,s2727]) ).
cnf(s3683,plain,
( spl0_67
| ~ spl0_9
| spl0_66
| ~ spl0_17
| ~ spl0_77
| spl0_76
| spl0_68
| ~ spl0_58
| spl0_84
| ~ spl0_133
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s3159,s2364,s2464,s2608,s3034,s2506,s3200,s3134,s3078,s708,s1582,s1846,s2524,s2997,s1583,s824,s446,s739,s65,s94,s88,s1453,s3084,s2762,s104,s102,s57,s23,s2897,s1,s3057,s535]) ).
cnf(s3684,plain,
( ~ spl0_52
| ~ spl0_9
| ~ spl0_17
| ~ spl0_77
| spl0_76
| spl0_68
| ~ spl0_58
| spl0_84
| ~ spl0_133
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s3159,s2364,s2464,s2608,s3034,s3134,s2506,s3200,s1846,s3078,s708,s1582,s1583,s2524,s2997,s739,s103,s824,s94,s65,s853,s88,s57,s23,s2897,s1,s3057,s535]) ).
cnf(s3685,plain,
( spl0_40
| ~ spl0_45
| ~ spl0_14
| ~ spl0_67
| ~ spl0_9
| spl0_200
| ~ spl0_77
| spl0_76
| spl0_38
| spl0_106
| spl0_1 ),
inference(rat,[],[s1842,s2843,s3080,s82,s2465,s1265,s1430,s1779,s2871,s3499,s2955,s2231,s774,s773,s252,s1785,s3291,s453,s4,s57,s23,s2897,s1,s1288,s3057,s535]) ).
cnf(s3686,plain,
( ~ spl0_9
| spl0_7
| ~ spl0_77
| spl0_76
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s3220,s2338,s1842,s3080,s2465,s1430,s2506,s3078,s3060,s252,s3197,s82,s166,s3685,s3104,s3684,s3120,s457,s1774,s3683,s57,s1,s1288,s3057,s291,s3675,s156,s23,s535,s2775,s1149,s2897,s1792,s3682]) ).
cnf(s3687,plain,
( spl0_7
| ~ spl0_77
| spl0_76
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2506,s1265,s3078,s2871,s2302,s3442,s3658,s1688,s162,s3415,s2955,s1683,s774,s25,s27,s1824,s866,s47,s19,s3686,s1145,s1149,s2775,s57,s23,s2897,s1,s291,s3676,s3682,s4,s2489,s535,s3057]) ).
cnf(s3688,plain,
( ~ spl0_52
| ~ spl0_9
| ~ spl0_77
| spl0_76
| spl0_68
| ~ spl0_58
| spl0_84
| ~ spl0_133
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s3276,s82,s360,s1265,s3034,s2506,s3200,s1846,s3078,s1931,s1582,s3120,s1583,s2524,s2997,s739,s87,s103,s824,s94,s1784,s65,s853,s88,s878,s57,s23,s2897,s1,s3057,s535]) ).
cnf(s3689,plain,
( spl0_40
| ~ spl0_66
| spl0_98
| ~ spl0_9
| ~ spl0_31
| ~ spl0_99
| ~ spl0_77
| spl0_76
| spl0_38
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s3186,s2465,s1842,s1430,s2843,s2506,s82,s3078,s2872,s2300,s3120,s2871,s644,s3292,s773,s252,s3291,s453,s57,s23,s2897,s1,s1288,s3057,s535]) ).
cnf(s3690,plain,
( ~ spl0_286
| spl0_98
| ~ spl0_31
| ~ spl0_99
| ~ spl0_147
| spl0_106
| spl0_224 ),
inference(rat,[],[s1704,s2527,s2300]) ).
cnf(s3691,plain,
( ~ spl0_25
| ~ spl0_241
| ~ spl0_66
| spl0_52
| ~ spl0_77 ),
inference(rat,[],[s3292,s1291,s252,s3220,s3197,s1842]) ).
cnf(s3692,plain,
( ~ spl0_9
| ~ spl0_77
| spl0_76
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s1592,s2983,s251,s774,s1669,s3003,s1782,s454,s65,s3200,s3562,s2989,s252,s2987,s3292,s3180,s644,s3120,s82,s3691,s3080,s2465,s1430,s2506,s3078,s3690,s166,s3689,s104,s313,s3104,s3688,s4,s57,s1,s1288,s3057,s291,s3675,s156,s23,s1436,s3682,s2897,s3135,s1774,s1858,s34,s2846,s3687,s535]) ).
cnf(s3693,plain,
( spl0_50
| spl0_98
| spl0_25
| ~ spl0_20
| ~ spl0_31
| ~ spl0_99
| ~ spl0_147
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2872,s82,s2871,s3120,s3442,s2858,s1688,s65,s4,s3057,s291,s1436,s3682,s2897]) ).
cnf(s3694,plain,
( ~ spl0_77
| spl0_76
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s3034,s3200,s473,s2982,s2983,s773,s774,s355,s934,s41,s2762,s772,s89,s3292,s1873,s644,s104,s3120,s3104,s82,s790,s162,s3693,s27,s787,s47,s19,s3692,s34,s1774,s3135,s2846,s994,s1858,s3687,s4,s57,s23,s2897,s1,s3465,s3675,s3682,s535]) ).
cnf(s3695,plain,
( ~ spl0_9
| ~ spl0_74
| ~ spl0_82
| ~ spl0_105
| ~ spl0_71
| ~ spl0_40
| ~ spl0_50 ),
inference(rat,[],[s3652,s2162,s2186,s362,s358,s2762,s3104,s258,s1453,s88,s475]) ).
cnf(s3696,plain,
( spl0_76
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2763,s89,s362,s34,s2097,s2846,s2667,s3695,s3431,s601,s2487,s357,s925,s577,s475,s719,s2211,s3200,s3291,s2980,s1688,s773,s3441,s937,s3694,s535,s4,s878,s23,s2897,s291,s2727,s3675,s3682]) ).
cnf(s3697,plain,
( ~ spl0_9
| ~ spl0_76
| spl0_38
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s3038,s539]) ).
cnf(s3698,plain,
( spl0_40
| ~ spl0_52
| ~ spl0_71
| ~ spl0_21
| ~ spl0_26
| ~ spl0_48
| ~ spl0_29
| ~ spl0_77
| spl0_170
| spl0_68
| ~ spl0_133
| spl0_1 ),
inference(rat,[],[s3159,s2463,s2364,s1265,s3134,s1817,s638,s1846,s3679,s1583,s2773,s446,s90,s94,s57,s23,s2897,s1,s3057]) ).
cnf(s3699,plain,
( spl0_7
| ~ spl0_77
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s1345,s1114,s2479,s934,s2456,s2773,s2887,s3190,s89,s833,s3698,s3084,s104,s1774,s3079,s3200,s2940,s3030,s2950,s1683,s774,s773,s25,s1824,s866,s2667,s1792,s2775,s291,s2727,s156,s3676,s4,s2008,s47,s2166,s3057,s27,s387,s57,s23,s2897,s1,s3578,s19,s3697,s3696,s3682]) ).
cnf(s3700,plain,
( spl0_40
| ~ spl0_52
| ~ spl0_29
| ~ spl0_77
| spl0_170
| spl0_25
| ~ spl0_76
| spl0_38
| ~ spl0_133
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s3698,s3200,s82,s2950,s3120,s774,s773,s90,s2216,s1785,s3291,s4,s57,s1,s156,s23,s2897]) ).
cnf(s3702,plain,
( ~ spl0_72
| ~ spl0_76
| ~ spl0_102
| ~ spl0_4 ),
inference(rat,[],[s773,s3554,s2950,s854]) ).
cnf(s3703,plain,
( ~ spl0_31
| ~ spl0_40
| spl0_93
| ~ spl0_29
| ~ spl0_77
| ~ spl0_71
| ~ spl0_58
| spl0_84
| ~ spl0_133
| ~ spl0_37 ),
inference(rat,[],[s3034,s355,s402,s2762,s3679,s89]) ).
cnf(s3704,plain,
( ~ spl0_52
| spl0_152
| ~ spl0_7
| ~ spl0_29
| ~ spl0_77
| ~ spl0_76
| spl0_38
| spl0_84
| ~ spl0_133
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2454,s3079,s3086,s2023,s2488,s1846,s1531,s1857,s3364,s389,s34,s3703,s3700,s56,s4,s57,s1,s3675,s2008,s47,s2166,s19,s3697,s3057,s3200,s3702,s23,s2897,s1858]) ).
cnf(s3705,plain,
( ~ spl0_77
| spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s1484,s2184,s1455,s2488,s3501,s1172,s1531,s1857,s1678,s2893,s3364,s774,s389,s3585,s34,s3292,s3703,s833,s1873,s65,s104,s3108,s3104,s3704,s1774,s1146,s1858,s3699,s27,s387,s3578,s56,s57,s1,s1366,s3057,s4,s291,s3675,s1436,s19,s3697,s3682,s3200,s3702,s3696,s23,s2897]) ).
cnf(s3706,plain,
( spl0_84
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2349,s3190,s592,s833,s475,s719,s3291,s2211,s1688,s773,s3441,s937,s3705,s3200,s3702,s3696,s3682,s2727,s4,s23,s2897,s291]) ).
cnf(s3707,plain,
( ~ spl0_9
| ~ spl0_77
| ~ spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s329,s3431,s473,s639,s358,s2989,s3180,s3135,s644,s1858,s3120,s2775,s82,s25,s3196,s3104,s166,s88,s65,s3562,s4,s1436,s3200,s2988,s3675,s535,s427,s453,s823,s57,s23,s2897,s1,s815]) ).
cnf(s3708,plain,
( spl0_7
| spl0_9
| spl0_76
| ~ spl0_40
| ~ spl0_103
| spl0_1 ),
inference(rat,[],[s2955,s89,s774,s1824,s866,s1149,s2775,s4,s57,s23,s2897,s1]) ).
cnf(s3709,plain,
( ~ spl0_77
| spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s930,s358,s3549,s402,s638,s3679,s34,s2846,s1858,s3708,s3104,s2225,s27,s387,s19,s3707,s3578,s291,s3676,s4,s3200,s2988,s3675,s535,s427,s453,s823,s57,s23,s2897,s1,s815,s3706]) ).
cnf(s3710,plain,
( ~ spl0_9
| ~ spl0_105
| ~ spl0_71
| ~ spl0_50
| ~ spl0_40
| spl0_57
| spl0_38
| ~ spl0_102 ),
inference(rat,[],[s3652,s1858,s2186,s2775,s358,s25,s3196,s3104,s258,s166,s88,s475]) ).
cnf(s3711,plain,
( spl0_106
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s358,s2186,s3104,s791,s2225,s34,s27,s3135,s2846,s994,s1858,s3708,s19,s3710,s475,s2211,s3441,s3709,s535,s3200,s427,s65,s2988,s453,s3562,s1436,s3676,s3675,s823,s815,s3706,s3465,s291,s4,s57,s23,s2897,s1]) ).
cnf(s3712,plain,
( spl0_40
| ~ spl0_17
| ~ spl0_9
| spl0_112
| ~ spl0_147
| spl0_84
| ~ spl0_106
| ~ spl0_102
| spl0_224 ),
inference(rat,[],[s102,s1774,s2762,s320,s1588,s34,s60,s2798,s3395,s1265,s2506,s2308,s3078,s2524,s824,s65,s88,s25,s3084,s2834,s2231,s94,s3499,s3292,s377]) ).
cnf(s3713,plain,
( ~ spl0_40
| spl0_66
| ~ spl0_9
| ~ spl0_87
| ~ spl0_147
| ~ spl0_77
| spl0_84
| ~ spl0_106
| ~ spl0_37 ),
inference(rat,[],[s178,s828,s2159,s604,s2349,s3431,s609,s329,s3062,s3200,s3061,s1587,s34,s320,s1774,s104,s313,s3104,s1453,s853,s2081,s2727,s3180,s377]) ).
cnf(s3714,plain,
( ~ spl0_9
| ~ spl0_38
| ~ spl0_147
| ~ spl0_77
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s433,s2775,s3084,s3712,s2231,s3713,s3292,s3499,s377,s57,s23,s2897,s1,s3057,s3711,s3190,s250]) ).
cnf(s3715,plain,
( ~ spl0_285
| ~ spl0_87
| ~ spl0_38
| spl0_76
| spl0_1 ),
inference(rat,[],[s1918,s1430,s2456,s2465,s23,s2897,s1288,s2489,s535,s3057]) ).
cnf(s3716,plain,
( ~ spl0_38
| spl0_76
| ~ spl0_77
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2776,s2976,s82,s104,s2872,s3104,s1774,s3135,s1531,s433,s1858,s2667,s773,s3030,s1107,s3080,s3715,s787,s47,s19,s3714,s3190,s250,s56,s4,s23,s2897,s3057,s2083,s3711,s535]) ).
cnf(s3719,plain,
( ~ spl0_52
| ~ spl0_95
| ~ spl0_9
| spl0_38
| spl0_287
| ~ spl0_77
| ~ spl0_281
| spl0_1 ),
inference(rat,[],[s2457,s3079,s1843,s3030,s1583,s773,s103,s3291,s65,s853,s88,s3057,s156,s23,s2897]) ).
cnf(s3720,plain,
( ~ spl0_112
| spl0_38
| ~ spl0_77
| ~ spl0_106
| ~ spl0_37 ),
inference(rat,[],[s453,s542,s252]) ).
cnf(s3721,plain,
( ~ spl0_9
| spl0_38
| ~ spl0_147
| ~ spl0_77
| spl0_84
| ~ spl0_106
| spl0_1 ),
inference(rat,[],[s2231,s3104,s3713,s3719,s3292,s3499,s3180,s377,s2083,s2489,s3057,s3190,s3720,s57,s23,s2897,s1]) ).
cnf(s3722,plain,
( spl0_40
| ~ spl0_52
| spl0_38
| spl0_287
| ~ spl0_77
| ~ spl0_106
| spl0_1 ),
inference(rat,[],[s3674,s2457,s380,s3079,s1843,s2773,s3030,s1583,s774,s773,s87,s446,s1785,s3291,s453,s94,s4,s57,s1,s3057,s2083,s156,s23,s2897]) ).
cnf(s3723,plain,
( ~ spl0_31
| spl0_67
| ~ spl0_40
| spl0_112
| ~ spl0_106 ),
inference(rat,[],[s102,s2762,s3292,s89,s380]) ).
cnf(s3724,plain,
( ~ spl0_40
| spl0_9
| spl0_112
| ~ spl0_103
| spl0_76
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s1114,s2308,s1530,s3078,s1354,s2524,s3444,s717,s34,s3723,s1774,s1858,s3708,s56,s2897,s4,s3057,s3711,s535]) ).
cnf(s3725,plain,
( spl0_76
| ~ spl0_77
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2572,s2552,s2456,s1345,s3079,s65,s3030,s1583,s3108,s773,s446,s3722,s3291,s453,s94,s3724,s19,s3721,s3190,s3720,s1436,s3676,s156,s3716,s2489,s535,s4,s57,s23,s2897,s1,s3057,s2083,s3711]) ).
cnf(s3726,plain,
( ~ spl0_9
| ~ spl0_61
| spl0_112
| ~ spl0_71
| ~ spl0_76
| ~ spl0_77
| spl0_84
| ~ spl0_106
| ~ spl0_37 ),
inference(rat,[],[s2186,s718,s639,s2762,s925,s3431,s102,s2481,s329,s1774,s3135,s3292,s3180,s3032,s539,s377,s2727]) ).
cnf(s3727,plain,
( ~ spl0_52
| spl0_9
| ~ spl0_38
| ~ spl0_76
| ~ spl0_77
| ~ spl0_142
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s3184,s3030,s3072,s773,s25,s2667,s2775,s436,s433,s56,s4,s23,s2897,s2083,s3711,s47]) ).
cnf(s3728,plain,
( spl0_40
| ~ spl0_38
| ~ spl0_77
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s774,s2773,s866,s319,s320,s1858,s1774,s104,s3104,s3727,s1873,s19,s3726,s94,s4,s57,s1,s3711,s2727,s3200,s3702,s3725,s23,s2897,s250]) ).
cnf(s3729,plain,
( ~ spl0_9
| ~ spl0_40
| ~ spl0_76 ),
inference(rat,[],[s2817,s539]) ).
cnf(s3730,plain,
( spl0_67
| ~ spl0_21
| ~ spl0_45
| ~ spl0_40
| ~ spl0_38
| ~ spl0_77
| ~ spl0_106 ),
inference(rat,[],[s2773,s2976,s3723,s104,s250]) ).
cnf(s3731,plain,
( ~ spl0_21
| ~ spl0_45
| ~ spl0_40
| ~ spl0_38
| ~ spl0_77
| spl0_84
| ~ spl0_106 ),
inference(rat,[],[s2773,s319,s320,s1774,s3730]) ).
cnf(s3732,plain,
( ~ spl0_38
| ~ spl0_77
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2429,s3481,s1856,s3501,s1641,s1678,s2893,s389,s60,s983,s65,s1345,s3015,s3077,s1107,s3504,s2610,s1531,s2263,s2872,s27,s82,s1165,s3120,s34,s3292,s2976,s3723,s104,s1774,s3135,s1858,s866,s774,s3731,s313,s3376,s3104,s3727,s47,s19,s3729,s3728,s3190,s250,s56,s1366,s3057,s4,s3711,s2727,s1374,s2897,s3725]) ).
cnf(s3733,plain,
( ~ spl0_52
| ~ spl0_239
| ~ spl0_21
| spl0_66
| ~ spl0_57
| spl0_25
| ~ spl0_87
| ~ spl0_71
| spl0_84
| ~ spl0_106
| ~ spl0_102 ),
inference(rat,[],[s592,s2349,s2417,s718,s2725,s2762,s312,s102,s2872,s1774,s3135,s320,s82,s2773,s3120,s1846,s87,s2727]) ).
cnf(s3734,plain,
( spl0_40
| ~ spl0_77
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2773,s319,s320,s1774,s104,s3104,s3733,s1583,s774,s446,s1873,s1785,s453,s94,s4,s3057,s3200,s3702,s156,s3190,s3720,s3711,s57,s23,s2897,s1,s19,s47,s3697,s3732,s3725]) ).
cnf(s3735,plain,
( spl0_7
| spl0_31
| ~ spl0_87
| spl0_9
| ~ spl0_103
| ~ spl0_77
| ~ spl0_142
| ~ spl0_281
| spl0_1 ),
inference(rat,[],[s1345,s2479,s1114,s2456,s934,s3079,s2887,s2773,s3030,s1683,s774,s773,s27,s1824,s866,s2667,s1145,s2775,s4,s23,s2897,s3057,s19]) ).
cnf(s3736,plain,
( ~ spl0_147
| ~ spl0_7
| ~ spl0_11
| spl0_93
| ~ spl0_106
| spl0_1 ),
inference(rat,[],[s1114,s2308,s1530,s3078,s1354,s2524,s3444,s56,s2897,s4,s3057,s717]) ).
cnf(s3737,plain,
( ~ spl0_96
| ~ spl0_48
| ~ spl0_52
| ~ spl0_87
| ~ spl0_71
| ~ spl0_142 ),
inference(rat,[],[s592,s2349,s2417,s718]) ).
cnf(s3738,plain,
( ~ spl0_79
| ~ spl0_40
| ~ spl0_87
| ~ spl0_71
| spl0_84
| ~ spl0_106 ),
inference(rat,[],[s2528,s586,s3073,s3431,s402,s325]) ).
cnf(s3739,plain,
( ~ spl0_93
| ~ spl0_87
| spl0_9
| ~ spl0_103
| ~ spl0_77
| ~ spl0_142
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s3735,s320,s1858,s2083,s3711]) ).
cnf(s3740,plain,
( ~ spl0_77
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2395,s3158,s3364,s2372,s389,s637,s1530,s2097,s3735,s34,s3549,s3723,s2186,s930,s1774,s3135,s3739,s565,s925,s586,s3431,s379,s329,s180,s3738,s3734,s19,s3190,s3697,s3720,s3676,s3732,s3200,s3702,s3725,s56,s4,s57,s23,s2897,s1,s3057,s2083,s3711,s2727]) ).
cnf(s3741,plain,
( ~ spl0_9
| ~ spl0_147
| ~ spl0_38
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s1583,s446,s2054,s3273,s3078,s455,s2524,s3200,s824,s2989,s65,s94,s2987,s220,s542,s3292,s104,s3104,s1774,s3135,s433,s1858,s2775,s2232,s3499,s3180,s377,s23,s2897,s3057,s3711,s3740]) ).
cnf(s3742,plain,
( spl0_93
| spl0_66
| spl0_9
| ~ spl0_193
| ~ spl0_147
| ~ spl0_38
| spl0_84
| ~ spl0_106
| spl0_23 ),
inference(rat,[],[s34,s380,s3444,s1825,s1149,s3120,s433,s573,s3084,s2762,s104,s102,s1774]) ).
cnf(s3743,plain,
( ~ spl0_93
| spl0_9
| spl0_76
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s774,s2955,s866,s1149,s320,s1858,s4,s57,s23,s2897,s1,s3711]) ).
cnf(s3744,plain,
( spl0_76
| ~ spl0_38
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s1354,s1301,s1107,s3444,s3080,s34,s3715,s3723,s3292,s3190,s542,s1873,s3742,s1774,s3743,s19,s3741,s3439,s535,s2897,s3711,s3740]) ).
cnf(s3745,plain,
( ~ spl0_9
| ~ spl0_71
| ~ spl0_76
| ~ spl0_38
| spl0_84
| spl0_1 ),
inference(rat,[],[s1784,s719,s361,s363,s3073,s925,s2528,s2481,s94,s3729,s3032,s878,s56,s4,s57,s23,s2897,s1,s2727]) ).
cnf(s3746,plain,
( spl0_67
| spl0_40
| spl0_9
| ~ spl0_38
| spl0_84
| ~ spl0_106
| spl0_1 ),
inference(rat,[],[s2651,s1739,s2454,s1265,s3079,s1704,s1107,s1767,s173,s2773,s1683,s3070,s774,s27,s82,s866,s1145,s3120,s433,s573,s3084,s2762,s104,s102,s4,s23,s2897,s47,s1873,s19,s2470,s94,s3057]) ).
cnf(s3747,plain,
( ~ spl0_93
| spl0_9
| ~ spl0_106
| ~ spl0_102
| ~ spl0_6 ),
inference(rat,[],[s774,s2773,s866,s404,s320,s1858]) ).
cnf(s3748,plain,
( spl0_7
| spl0_79
| spl0_31
| spl0_9
| ~ spl0_71
| ~ spl0_88
| ~ spl0_142
| spl0_1 ),
inference(rat,[],[s592,s2386,s579,s885,s934,s2887,s2773,s774,s773,s27,s866,s2667,s1145,s4,s23,s2897,s19]) ).
cnf(s3749,plain,
( ~ spl0_38
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2552,s1455,s2570,s3293,s2382,s3158,s2372,s104,s773,s637,s3104,s3555,s512,s433,s3748,s2186,s379,s180,s3738,s3723,s3190,s542,s3746,s1774,s3135,s3747,s19,s3745,s3200,s3702,s3744,s4,s23,s2897,s3057,s3711,s2727,s176,s3740]) ).
cnf(s3750,plain,
( spl0_112
| ~ spl0_239
| ~ spl0_21
| ~ spl0_57
| spl0_40
| ~ spl0_31
| ~ spl0_198
| spl0_25
| spl0_111
| spl0_84
| ~ spl0_106
| ~ spl0_102 ),
inference(rat,[],[s3017,s82,s3200,s3120,s3733,s87,s3084,s2231,s3292,s3190]) ).
cnf(s3751,plain,
( spl0_40
| spl0_111
| ~ spl0_147
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2524,s824,s3077,s65,s2054,s220,s3750,s1583,s774,s446,s1785,s453,s94,s4,s57,s1,s3057,s156,s3749,s23,s2897,s3219,s34,s3736,s1858,s2775,s2232,s3499,s3740,s3711]) ).
cnf(s3752,plain,
( spl0_111
| ~ spl0_147
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s3723,s542,s3751,s34,s1774,s3736,s1858,s2775,s2232,s3499,s3711,s3740]) ).
cnf(s3753,plain,
( spl0_76
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s1149,s3736,s3444,s3743,s34,s377,s380,s3752,s535,s2897,s3711]) ).
cnf(s3754,plain,
( spl0_40
| spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s2760,s325,s601,s2481,s357,s925,s577,s1431,s2417,s2725,s312,s2872,s82,s3120,s1846,s90,s3084,s1583,s2762,s104,s446,s1356,s1873,s94,s57,s1,s3057,s2727,s156,s3200,s3702,s23,s2897,s47,s3440,s19,s3135,s1774,s3747,s3697,s3753,s3749,s3711,s4]) ).
cnf(s3755,plain,
( spl0_84
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s389,s3364,s1530,s2395,s565,s3158,s925,s2372,s2487,s637,s512,s2186,s3748,s379,s180,s34,s3738,s3723,s3190,s542,s3754,s1774,s3135,s3747,s19,s3200,s3697,s3702,s3753,s3675,s3749,s176,s3740,s2727,s56,s4,s23,s2897,s3057,s3711]) ).
cnf(s3756,plain,
( ~ spl0_102
| spl0_1 ),
inference(rat,[],[s3562,s1436,s65,s823,s815,s314,s3755,s3711,s4,s2897]) ).
cnf(s3757,plain,
( ~ spl0_9
| spl0_40
| spl0_76
| ~ spl0_38
| spl0_106
| spl0_84
| spl0_1 ),
inference(rat,[],[s2981,s2775,s2800,s1408,s2843,s3058,s2011,s60,s65,s1345,s1583,s446,s94,s249,s3296,s3057,s2552,s1842,s3080,s3715,s3190,s818,s3445,s535,s23,s1766,s250,s3441,s291,s4,s1850,s3756,s2897]) ).
cnf(s3758,plain,
( spl0_40
| spl0_76
| ~ spl0_38
| spl0_106
| spl0_84
| spl0_1 ),
inference(rat,[],[s25,s1265,s2775,s1846,s3033,s3376,s47,s19,s3757,s60,s65,s1345,s1739,s1583,s446,s94,s3057,s2727,s3200,s1529,s2997,s2011,s57,s1,s56,s249,s3296,s821,s1766,s2552,s1842,s3080,s3715,s3190,s250,s3441,s291,s4,s1850,s818,s3445,s535,s23,s2897,s3756]) ).
cnf(s3759,plain,
( ~ spl0_40
| ~ spl0_87
| ~ spl0_71
| ~ spl0_79
| ~ spl0_133
| ~ spl0_142 ),
inference(rat,[],[s2159,s2486,s2349,s592,s402,s2081]) ).
cnf(s3760,plain,
( ~ spl0_38
| spl0_106
| spl0_84
| spl0_1 ),
inference(rat,[],[s3184,s3030,s2458,s773,s3122,s3309,s1739,s1583,s2008,s446,s3758,s94,s3759,s3190,s249,s250,s1366,s3057,s2727,s3296,s3200,s1529,s2997,s3441,s1850,s2011,s291,s57,s23,s1,s56,s2897,s4,s3756]) ).
cnf(s3761,plain,
( spl0_106
| spl0_84
| spl0_1 ),
inference(rat,[],[s402,s3034,s1607,s356,s3675,s3760,s3200,s1529,s2997,s3441,s291,s56,s57,s1,s1850,s3443,s4,s2011,s3756,s23,s2897]) ).
cnf(s3762,plain,
( spl0_76
| ~ spl0_38
| ~ spl0_281
| spl0_1 ),
inference(rat,[],[s3186,s3715,s3030,s3190,s818,s250,s3445,s458,s535,s57,s23,s2897,s1,s3756]) ).
cnf(s3763,plain,
( ~ spl0_9
| ~ spl0_77
| ~ spl0_38
| spl0_84
| spl0_1 ),
inference(rat,[],[s1431,s577,s2725,s1906,s2027,s3431,s592,s329,s363,s3084,s854,s455,s104,s3200,s1774,s3292,s3745,s539,s377,s56,s4,s57,s23,s2897,s1,s2727,s3762,s2083,s3761,s250]) ).
cnf(s3764,plain,
( spl0_79
| ~ spl0_71
| ~ spl0_57
| ~ spl0_61
| spl0_84
| ~ spl0_37 ),
inference(rat,[],[s2734,s2528,s361,s2481]) ).
cnf(s3765,plain,
( ~ spl0_77
| spl0_40
| ~ spl0_38
| spl0_84
| spl0_1 ),
inference(rat,[],[s497,s602,s3634,s364,s666,s3073,s925,s2528,s586,s3431,s325,s3764,s3200,s3045,s3640,s866,s2109,s774,s3120,s2773,s436,s319,s320,s1774,s3746,s19,s3763,s3190,s250,s56,s4,s57,s23,s2897,s1,s3639,s3756,s2727,s3762,s2083,s3761,s94]) ).
cnf(s3766,plain,
( ~ spl0_9
| spl0_40
| ~ spl0_38
| spl0_84
| spl0_1 ),
inference(rat,[],[s1704,s1531,s2300,s3077,s2054,s1583,s446,s3273,s34,s3292,s33,s104,s313,s510,s2216,s3104,s1530,s573,s433,s386,s3120,s2775,s854,s455,s82,s25,s3200,s1774,s2079,s3135,s3219,s3745,s539,s377,s56,s2897,s4,s3057,s3756,s3762,s2083,s3761,s94,s3765]) ).
cnf(s3767,plain,
( ~ spl0_72
| ~ spl0_93
| ~ spl0_20
| ~ spl0_76
| ~ spl0_106 ),
inference(rat,[],[s27,s884,s3647,s854,s1881]) ).
cnf(s3768,plain,
( spl0_7
| spl0_33
| spl0_31
| spl0_9
| spl0_1 ),
inference(rat,[],[s2773,s934,s774,s773,s27,s866,s2667,s1145,s4,s23,s2897,s19]) ).
cnf(s3769,plain,
( spl0_223
| spl0_31
| spl0_9
| spl0_1 ),
inference(rat,[],[s389,s3364,s1530,s1531,s3768,s1114,s56,s2897,s4,s3057,s34]) ).
cnf(s3770,plain,
( spl0_40
| ~ spl0_38
| spl0_84
| spl0_1 ),
inference(rat,[],[s1739,s3086,s3122,s2454,s2458,s3079,s1107,s3769,s320,s1774,s3746,s3766,s2470,s94,s1366,s3057,s4,s3756,s3761]) ).
cnf(s3771,plain,
( spl0_93
| ~ spl0_38
| spl0_84
| spl0_1 ),
inference(rat,[],[s3051,s3043,s3077,s3104,s2308,s433,s3769,s2775,s3723,s2110,s1774,s3639,s3443,s3756,s4,s833,s47,s3729,s3762,s2083,s3761,s3770]) ).
cnf(s3772,plain,
( ~ spl0_38
| spl0_84
| spl0_1 ),
inference(rat,[],[s2653,s2928,s2458,s3077,s3079,s2308,s1107,s3769,s320,s3771,s3729,s833,s3770,s3762,s1366,s3057,s4,s3756,s2727,s2083,s3761]) ).
cnf(s3773,plain,
( ~ spl0_9
| spl0_84
| spl0_1 ),
inference(rat,[],[s3713,s458,s535,s3292,s3729,s377,s57,s23,s2897,s1,s3190,s542,s1607,s3675,s3772,s3443,s3756,s4,s3761]) ).
cnf(s3774,plain,
( ~ spl0_31
| ~ spl0_40
| ~ spl0_106
| spl0_84 ),
inference(rat,[],[s1774,s3723,s320,s542]) ).
cnf(s3775,plain,
( spl0_84
| spl0_1 ),
inference(rat,[],[s361,s601,s3738,s3431,s3200,s569,s3767,s1530,s3440,s389,s2055,s3364,s866,s3120,s1846,s774,s2858,s3108,s3562,s2887,s65,s1345,s535,s2299,s2524,s3077,s2308,s3769,s34,s3774,s19,s3773,s3190,s542,s1607,s356,s1436,s3675,s3772,s3761,s2727,s56,s57,s1,s3057,s3443,s4,s2011,s3756,s23,s2897]) ).
cnf(s3776,plain,
( spl0_40
| spl0_106
| spl0_1 ),
inference(rat,[],[s3268,s250,s3287,s453,s57,s23,s1,s631,s3441,s291,s4,s1850,s3756,s2897,s3775]) ).
cnf(s3777,plain,
( ~ spl0_9
| spl0_38
| spl0_76
| ~ spl0_40
| ~ spl0_71
| spl0_57
| ~ spl0_79
| ~ spl0_37 ),
inference(rat,[],[s457,s3120,s930,s82,s358,s3549,s3196,s3104,s708,s853,s166,s402]) ).
cnf(s3778,plain,
( spl0_106
| spl0_1 ),
inference(rat,[],[s34,s162,s389,s82,s3364,s3120,s2610,s644,s1530,s3442,s3708,s47,s19,s3777,s3676,s772,s250,s3190,s594,s357,s577,s719,s2221,s2151,s3431,s1878,s3133,s3078,s2482,s2524,s507,s3021,s535,s402,s427,s3776,s3200,s3319,s1529,s631,s2997,s3441,s291,s56,s4,s57,s1,s3057,s1850,s2011,s3756,s23,s2897,s3775]) ).
cnf(s3779,plain,
( ~ spl0_174
| ~ spl0_31
| ~ spl0_7
| spl0_1 ),
inference(rat,[],[s1704,s1531,s56,s2897,s4,s3057]) ).
cnf(s3780,plain,
( ~ spl0_72
| ~ spl0_42
| ~ spl0_76
| ~ spl0_84 ),
inference(rat,[],[s3539,s854]) ).
cnf(s3781,plain,
( ~ spl0_67
| ~ spl0_9
| ~ spl0_38
| ~ spl0_57
| spl0_1 ),
inference(rat,[],[s2385,s3159,s3133,s2366,s2138,s3032,s3200,s3780,s60,s1767,s2552,s1876,s1107,s3080,s2458,s773,s1430,s3122,s3309,s1779,s1775,s1288,s1366,s3057,s3443,s4,s65,s3779,s34,s33,s3513,s433,s314,s886,s3120,s82,s2775,s25,s2079,s539,s458,s57,s23,s2897,s1,s3756,s3219,s377,s3778,s631,s3775]) ).
cnf(s3782,plain,
( ~ spl0_72
| ~ spl0_112
| ~ spl0_38
| ~ spl0_76
| spl0_1 ),
inference(rat,[],[s3309,s773,s1583,s1768,s103,s60,s3273,s3780,s455,s1897,s23,s2897,s3057,s65,s314,s3778,s3775]) ).
cnf(s3783,plain,
( ~ spl0_9
| ~ spl0_38
| ~ spl0_57
| spl0_1 ),
inference(rat,[],[s2214,s263,s508,s2186,s3032,s3200,s3782,s2987,s3292,s104,s3781,s3104,s433,s3120,s2775,s82,s25,s2079,s3135,s3219,s3180,s539,s377,s4,s3639,s3778,s458,s631,s3775,s57,s23,s2897,s1,s3756]) ).
cnf(s3784,plain,
( ~ spl0_38
| spl0_40
| spl0_1 ),
inference(rat,[],[s2653,s2458,s1857,s3079,s3364,s1107,s389,s983,s3768,s3769,s34,s2219,s320,s3440,s2055,s3120,s886,s27,s387,s19,s3783,s1366,s3057,s4,s451,s3629,s458,s631,s1784,s878,s314,s3778,s3775,s57,s23,s2897,s1,s3756]) ).
cnf(s3785,plain,
( spl0_112
| ~ spl0_9
| spl0_40
| spl0_1 ),
inference(rat,[],[s2182,s1125,s1758,s3504,s1593,s3397,s1717,s3501,s2918,s60,s3415,s1767,s1876,s1107,s3080,s2458,s3122,s1779,s102,s251,s3292,s1643,s1366,s3675,s1583,s103,s156,s65,s3057,s3135,s2762,s90,s3104,s87,s3779,s34,s33,s510,s1530,s56,s4,s934,s3120,s82,s773,s3291,s3784,s451,s2775,s25,s2079,s539,s458,s57,s23,s1,s3756,s3219,s377,s631,s1784,s878,s2897,s314,s3778,s3775]) ).
cnf(s3786,plain,
( ~ spl0_72
| ~ spl0_9
| spl0_40
| spl0_1 ),
inference(rat,[],[s2027,s3431,s2725,s1638,s1353,s263,s60,s274,s847,s3780,s455,s65,s773,s3291,s774,s1785,s3784,s4,s3135,s3120,s82,s2079,s539,s458,s57,s23,s1,s3756,s3219,s377,s631,s1784,s878,s2897,s314,s3778,s3775,s3785]) ).
cnf(s3787,plain,
( ~ spl0_9
| spl0_40
| spl0_1 ),
inference(rat,[],[s835,s263,s2186,s3200,s3786,s2987,s3785,s34,s33,s3104,s510,s934,s87,s1530,s3120,s2775,s82,s25,s2079,s3135,s3219,s3180,s539,s377,s56,s4,s451,s458,s631,s1784,s878,s314,s3778,s3775,s57,s1,s3756,s773,s3291,s3784,s23,s2897]) ).
cnf(s3788,plain,
( spl0_40
| spl0_1 ),
inference(rat,[],[s2079,s82,s2219,s3120,s3108,s2858,s47,s19,s3787,s1436,s3784,s4,s2897,s3756,s65,s314,s3778,s3775]) ).
cnf(s3789,plain,
spl0_1,
inference(rat,[],[s631,s3021,s458,s427,s3788,s314,s3778,s3775,s3756,s57,s23,s2897,s1]) ).
cnf(s3790,plain,
( ~ spl0_224
| ~ spl0_31
| spl0_234
| ~ spl0_42
| ~ spl0_57
| spl0_181
| spl0_89
| ~ spl0_77
| spl0_112
| spl0_76
| ~ spl0_38
| ~ spl0_9
| ~ spl0_133 ),
inference(rat,[],[s773,s23,s835,s2842,s3276,s25,s2932,s2775,s31,s3190,s65,s715,s3789]) ).
cnf(s3791,plain,
( spl0_224
| spl0_174
| spl0_89
| ~ spl0_72
| ~ spl0_69
| spl0_112
| ~ spl0_147
| ~ spl0_38
| ~ spl0_9
| spl0_40 ),
inference(rat,[],[s887,s3276,s2834,s25,s1265,s1739,s1583,s2775,s31,s3789]) ).
cnf(s3792,plain,
( ~ spl0_57
| spl0_181
| spl0_89
| ~ spl0_72
| spl0_93
| ~ spl0_77
| ~ spl0_69
| spl0_43
| spl0_112
| spl0_76
| ~ spl0_38
| ~ spl0_9
| spl0_40
| ~ spl0_133
| spl0_84 ),
inference(rat,[],[s1149,s2842,s3444,s25,s34,s1265,s3790,s1082,s3791,s2480,s2800,s60,s824,s65,s715,s3120,s32,s2775,s31,s535,s3789]) ).
cnf(s3793,plain,
( ~ spl0_224
| spl0_57
| spl0_181
| ~ spl0_72
| spl0_93
| ~ spl0_147
| ~ spl0_102
| ~ spl0_9
| ~ spl0_133 ),
inference(rat,[],[s1724,s2839,s2840,s23,s3180,s773,s887,s2551,s3276,s3197,s3504,s25,s2802,s2480,s3134,s1265,s2608,s3122,s2609,s1082,s3120,s32,s2775,s31,s403,s3789]) ).
cnf(s3794,plain,
( ~ spl0_72
| spl0_93
| ~ spl0_77
| spl0_112
| spl0_76
| ~ spl0_38
| ~ spl0_102
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s717,s2524,s34,s3077,s2871,s2610,s3292,s104,s3104,s1846,s3791,s1583,s3793,s3792,s2977,s403,s291,s535,s1766,s446,s1814,s3268,s94,s1774]) ).
cnf(s3795,plain,
( ~ spl0_89
| ~ spl0_71
| spl0_76
| spl0_106 ),
inference(rat,[],[s180,s2491,s439,s2014,s3789]) ).
cnf(s3796,plain,
( ~ spl0_96
| ~ spl0_71
| spl0_76
| ~ spl0_9
| spl0_106 ),
inference(rat,[],[s180,s2491,s1931,s258]) ).
cnf(s3797,plain,
( spl0_93
| ~ spl0_77
| spl0_112
| spl0_76
| ~ spl0_38
| ~ spl0_102
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s717,s2524,s34,s3077,s2871,s2610,s3292,s104,s3104,s1846,s1583,s2609,s2872,s82,s312,s3276,s2725,s3796,s3795,s3200,s3794,s1774,s3135,s3120,s32,s535,s446,s1814,s3268,s94,s3789]) ).
cnf(s3798,plain,
( ~ spl0_224
| ~ spl0_26
| ~ spl0_9 ),
inference(rat,[],[s1265,s2609,s1082,s3789]) ).
cnf(s3799,plain,
( ~ spl0_72
| ~ spl0_93
| spl0_112
| ~ spl0_147
| ~ spl0_38
| ~ spl0_102
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s3513,s1345,s33,s2527,s34,s3077,s2871,s2610,s3499,s2231,s3104,s1846,s3791,s1583,s3798,s82,s884,s3276,s1582,s403,s1881,s3120,s32,s446,s1814,s3268,s94,s3789]) ).
cnf(s3800,plain,
( ~ spl0_26
| spl0_112
| ~ spl0_147
| ~ spl0_38
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s65,s1345,s824,s2527,s2524,s3077,s2610,s3499,s2231,s3104,s1846,s1265,s1739,s1583,s3798,s446,s1814,s3268,s94]) ).
cnf(s3801,plain,
( ~ spl0_71
| ~ spl0_25
| spl0_76
| ~ spl0_9
| spl0_106 ),
inference(rat,[],[s3276,s3796,s3795]) ).
cnf(s3802,plain,
( spl0_112
| spl0_76
| ~ spl0_38
| ~ spl0_102
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s3219,s887,s3797,s3276,s3799,s403,s3200,s3801,s25,s3800,s2775,s31,s535,s3789]) ).
cnf(s3803,plain,
( ~ spl0_25
| spl0_89
| ~ spl0_72
| spl0_77 ),
inference(rat,[],[s887,s3276,s3219]) ).
cnf(s3805,plain,
( ~ spl0_238
| spl0_143
| ~ spl0_38
| ~ spl0_102
| ~ spl0_142 ),
inference(rat,[],[s2299,s3077,s1739,s2506]) ).
cnf(s3806,plain,
( ~ spl0_31
| ~ spl0_174
| spl0_224
| ~ spl0_26
| spl0_137
| ~ spl0_147
| spl0_106 ),
inference(rat,[],[s3183,s2789,s2527,s1704,s1817,s2076,s1288]) ).
cnf(s3807,plain,
( spl0_93
| ~ spl0_11
| ~ spl0_174
| spl0_224
| ~ spl0_147
| spl0_106 ),
inference(rat,[],[s2610,s1158,s3078,s1354,s2524,s3444,s717]) ).
cnf(s3808,plain,
( ~ spl0_72
| spl0_238
| ~ spl0_112
| ~ spl0_147
| ~ spl0_38
| ~ spl0_102
| ~ spl0_9
| spl0_40
| spl0_106 ),
inference(rat,[],[s983,s464,s1846,s23,s1583,s1145,s510,s446,s33,s1587,s2216,s1679,s3807,s34,s3806,s1265,s3798,s82,s3803,s403,s1782,s94,s31,s3120,s32,s250,s3789]) ).
cnf(s3809,plain,
( spl0_76
| ~ spl0_38
| ~ spl0_102
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s2760,s603,s2160,s1879,s592,s609,s497,s2607,s3634,s3795,s3200,s3808,s3805,s176,s250,s3802,s739,s535,s2727,s94,s3789]) ).
cnf(s3810,plain,
( ~ spl0_38
| ~ spl0_102
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s603,s497,s3431,s3634,s2160,s364,s666,s3073,s3268,s925,s2528,s1814,s2481,s446,s3032,s1583,s3200,s3309,s3798,s3702,s773,s82,s23,s3219,s937,s176,s2539,s2593,s650,s2008,s3809,s2727,s94,s3120,s32,s3789]) ).
cnf(s3811,plain,
( ~ spl0_25
| ~ spl0_72
| spl0_112
| ~ spl0_147
| spl0_22
| spl0_181
| ~ spl0_102
| ~ spl0_9
| spl0_40
| spl0_106
| ~ spl0_142 ),
inference(rat,[],[s60,s2841,s65,s2479,s23,s715,s2831,s21,s3793,s1994,s2750,s2834,s1881,s258,s887,s3276,s291,s1766,s403,s3789]) ).
cnf(s3812,plain,
( ~ spl0_52
| ~ spl0_239
| ~ spl0_26
| ~ spl0_147
| ~ spl0_102
| ~ spl0_9
| spl0_84 ),
inference(rat,[],[s3183,s2524,s2506,s824,s1265,s65,s1846,s88,s3798]) ).
cnf(s3813,plain,
( ~ spl0_286
| ~ spl0_239
| spl0_224
| ~ spl0_147
| spl0_106
| spl0_84 ),
inference(rat,[],[s65,s1345,s824,s2527,s2524]) ).
cnf(s3814,plain,
( ~ spl0_26
| spl0_112
| ~ spl0_147
| ~ spl0_102
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s1265,s2610,s2506,s3078,s3813,s3499,s2231,s3104,s3812,s1583,s3798,s446,s1814,s3268,s94]) ).
cnf(s3815,plain,
( spl0_112
| spl0_76
| ~ spl0_102
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s2761,s3811,s3801,s25,s3814,s2727,s2775,s31,s3291,s1785,s3810,s535,s3789]) ).
cnf(s3816,plain,
( ~ spl0_25
| ~ spl0_112
| spl0_76
| spl0_181
| ~ spl0_102
| ~ spl0_9
| ~ spl0_61
| spl0_106 ),
inference(rat,[],[s2801,s446,s3197,s3793,s3273,s3180,s252,s1881,s258,s887,s3803,s3276,s403,s3200,s3801,s291,s535]) ).
cnf(s3819,plain,
( ~ spl0_239
| spl0_224
| ~ spl0_112
| ~ spl0_147
| spl0_106
| spl0_84 ),
inference(rat,[],[s3183,s3813,s2054]) ).
cnf(s3820,plain,
( ~ spl0_11
| ~ spl0_68
| ~ spl0_112
| ~ spl0_147
| spl0_272 ),
inference(rat,[],[s3444,s1354,s1679,s1590,s1587,s173]) ).
cnf(s3821,plain,
( spl0_76
| ~ spl0_102
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s2789,s1879,s1704,s2777,s3806,s23,s34,s156,s3820,s1265,s2506,s3078,s446,s2299,s1583,s3819,s1288,s3798,s82,s3816,s3815,s739,s535,s2727,s1569,s94,s3120,s32,s3291,s3810,s3789]) ).
cnf(s3822,plain,
( ~ spl0_102
| ~ spl0_9
| spl0_84
| spl0_40
| spl0_106 ),
inference(rat,[],[s773,s23,s937,s2539,s650,s2008,s3821,s3291,s3810,s3789]) ).
cnf(s3823,plain,
( ~ spl0_224
| ~ spl0_72
| ~ spl0_38
| spl0_112
| ~ spl0_147
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s1910,s1755,s1753,s2762,s1256,s3500,s102,s1290,s3151,s1774,s3503,s1849,s2471,s2364,s824,s3159,s65,s2839,s2462,s715,s23,s3431,s3319,s3445,s817,s1608,s818,s3078,s2014,s3439,s937,s2302,s3276,s1842,s3293,s3415,s887,s3080,s2570,s2831,s2458,s3220,s1483,s2480,s3134,s2473,s2608,s3122,s1994,s2609,s1082,s3120,s32,s3639,s3822,s25,s3800,s2775,s31,s1582,s446,s1814,s3268,s94,s3789]) ).
cnf(s3824,plain,
( ~ spl0_38
| spl0_112
| spl0_76
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s1430,s23,s2366,s1478,s3159,s3220,s2462,s1408,s3431,s2789,s817,s2014,s3078,s3276,s3813,s1739,s887,s1583,s2834,s1288,s3823,s1582,s3200,s3801,s25,s3800,s2775,s31,s535,s446,s1814,s3268,s94,s3789]) ).
cnf(s3825,plain,
( ~ spl0_224
| ~ spl0_72
| ~ spl0_25
| spl0_22
| ~ spl0_58
| spl0_112
| ~ spl0_147
| spl0_102
| ~ spl0_9
| spl0_40
| spl0_106 ),
inference(rat,[],[s1452,s2426,s2028,s3504,s1717,s3501,s2918,s3415,s1724,s2572,s2839,s3319,s23,s1608,s21,s3439,s176,s155,s1842,s3276,s3080,s887,s2458,s2831,s3220,s2480,s2473,s3122,s1994,s2609,s1082,s291,s3120,s32,s3639,s3789]) ).
cnf(s3826,plain,
( ~ spl0_25
| spl0_112
| spl0_76
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s1478,s3220,s23,s1408,s21,s2789,s155,s2014,s3078,s3276,s3813,s887,s1583,s2834,s1288,s3825,s1582,s3200,s3801,s3822,s535,s446,s1814,s3268,s94,s3675,s1785,s3824,s3789]) ).
cnf(s3827,plain,
( spl0_111
| ~ spl0_77
| ~ spl0_138
| spl0_29
| spl0_79
| ~ spl0_72
| ~ spl0_283
| ~ spl0_239
| ~ spl0_259
| ~ spl0_26
| spl0_22
| spl0_112
| ~ spl0_147
| spl0_40
| spl0_106 ),
inference(rat,[],[s23,s21,s1343,s2750,s2371,s1265,s2076,s3159,s1846,s1878,s2462,s3084,s34,s3431,s2231,s33,s2027,s3499,s3459,s609]) ).
cnf(s3828,plain,
( ~ spl0_23
| ~ spl0_238
| ~ spl0_111
| spl0_29
| spl0_224
| ~ spl0_26
| spl0_76
| spl0_106 ),
inference(rat,[],[s3446,s33,s3080,s34,s2493,s2877,s1343,s535,s1288]) ).
cnf(s3829,plain,
( ~ spl0_77
| spl0_89
| spl0_79
| ~ spl0_72
| ~ spl0_283
| ~ spl0_26
| spl0_22
| spl0_181
| spl0_112
| spl0_76
| spl0_102
| ~ spl0_9
| spl0_40
| spl0_106 ),
inference(rat,[],[s1878,s3431,s2076,s604,s48,s2550,s2011,s21,s773,s23,s3828,s1265,s2610,s3827,s535,s1288,s1583,s3798,s446,s1814,s3268,s94,s884,s2079,s2725,s150,s3789]) ).
cnf(s3830,plain,
( spl0_77
| ~ spl0_72
| spl0_112
| spl0_76
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s34,s2777,s33,s2789,s3459,s1343,s3828,s1265,s2800,s60,s824,s65,s715,s3319,s23,s1608,s773,s3439,s937,s1766,s3291,s3824,s1288,s3078,s3813,s1583,s3798,s535,s884,s1582,s446,s1814,s3268,s94,s2079,s82,s3826,s3120,s32,s3822,s3789]) ).
cnf(s3831,plain,
( ~ spl0_72
| spl0_112
| spl0_76
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s23,s3828,s21,s1265,s155,s2610,s3829,s3827,s3830,s2725,s884,s150,s1582,s3291,s1785,s3824,s2079,s3822,s1288,s3078,s3813,s1583,s446,s1814,s3268,s94,s3798,s82,s3826,s3120,s32,s535,s3789]) ).
cnf(s3832,plain,
( spl0_112
| spl0_76
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s2469,s2151,s180,s3431,s708,s2162,s2384,s2214,s3795,s3200,s3831,s2079,s82,s3826,s291,s3120,s32,s3639,s3822,s3789]) ).
cnf(s3833,plain,
( ~ spl0_224
| ~ spl0_72
| ~ spl0_112
| ~ spl0_147
| spl0_102
| ~ spl0_9
| spl0_106
| spl0_84 ),
inference(rat,[],[s2570,s3293,s1792,s102,s1774,s1849,s2364,s3159,s2451,s3431,s817,s439,s2014,s3276,s2762,s887,s1612,s3080,s2831,s3220,s2458,s25,s2480,s3134,s2473,s2608,s3122,s3798,s1994,s2609,s1082,s3120,s32,s2775,s31,s3639,s3789]) ).
cnf(s3834,plain,
( ~ spl0_72
| ~ spl0_112
| ~ spl0_147
| spl0_102
| ~ spl0_9
| ~ spl0_61
| spl0_106
| spl0_84 ),
inference(rat,[],[s818,s1768,s3445,s156,s23,s2777,s82,s3276,s258,s2014,s34,s3274,s3820,s173,s446,s1583,s3819,s3833,s1569,s3120,s32,s3789]) ).
cnf(s3835,plain,
( spl0_76
| ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s2151,s2469,s3431,s180,s2162,s708,s2079,s2384,s82,s2214,s3801,s3795,s3200,s3834,s3832,s535,s291,s94,s3120,s32,s3639,s3822,s3789]) ).
cnf(s3836,plain,
( ~ spl0_9
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s82,s2079,s3219,s539,s2593,s650,s3835,s3822,s3120,s32,s3789]) ).
cnf(s3837,plain,
( ~ spl0_72
| ~ spl0_25
| spl0_112
| ~ spl0_102
| ~ spl0_147
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s2771,s790,s34,s2231,s1688,s3444,s3499,s3442,s1354,s1881,s887,s1144,s3276,s403,s291,s19,s3836]) ).
cnf(s3838,plain,
( spl0_111
| ~ spl0_96
| ~ spl0_71
| spl0_112
| ~ spl0_147
| ~ spl0_20
| spl0_40
| spl0_106
| ~ spl0_142 ),
inference(rat,[],[s3737,s3084,s2216,s2231,s27,s3499,s3459,s3190]) ).
cnf(s3839,plain,
( ~ spl0_25
| spl0_112
| ~ spl0_102
| spl0_76
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s65,s3108,s475,s2417,s2221,s601,s2151,s3431,s2179,s3838,s3276,s3795,s3200,s3837,s2727,s291,s19,s3836,s535,s739,s94,s821,s1766]) ).
cnf(s3840,plain,
( spl0_26
| spl0_25
| ~ spl0_102
| ~ spl0_147
| spl0_106 ),
inference(rat,[],[s28,s2846,s3120,s2775,s82,s25,s3789]) ).
cnf(s3841,plain,
( spl0_111
| ~ spl0_72
| spl0_112
| ~ spl0_147
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s34,s790,s3444,s3084,s884,s2231,s1688,s1354,s27,s3499,s3442,s1158,s3459,s291,s19,s3836,s1582,s446,s1814,s3268,s94]) ).
cnf(s3842,plain,
( spl0_52
| spl0_183
| ~ spl0_102
| spl0_66
| spl0_9
| ~ spl0_61
| spl0_84 ),
inference(rat,[],[s2109,s3120,s3640,s404,s715,s1774,s65,s104,s3108,s3104,s19,s3789]) ).
cnf(s3843,plain,
( ~ spl0_174
| ~ spl0_111
| ~ spl0_52
| spl0_143
| ~ spl0_142 ),
inference(rat,[],[s2299,s3077,s1846,s2610]) ).
cnf(s3844,plain,
( ~ spl0_238
| ~ spl0_69
| ~ spl0_102
| ~ spl0_147
| spl0_106
| spl0_84 ),
inference(rat,[],[s3813,s1583,s3077,s1082,s2506,s3789]) ).
cnf(s3845,plain,
( spl0_112
| ~ spl0_102
| spl0_76
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s592,s475,s2467,s2211,s3838,s3200,s1688,s3841,s3442,s3180,s3843,s1265,s3844,s3842,s3840,s3839,s446,s821,s1814,s1766,s3268,s2727,s291,s1873,s19,s3836,s535,s739,s94]) ).
cnf(s3846,plain,
( ~ spl0_72
| ~ spl0_25
| ~ spl0_112
| ~ spl0_102
| ~ spl0_147
| ~ spl0_20
| spl0_106
| spl0_84 ),
inference(rat,[],[s790,s34,s1688,s3444,s3442,s1354,s3197,s1881,s887,s1144,s252,s3276,s3803,s403,s291]) ).
cnf(s3847,plain,
( spl0_111
| ~ spl0_71
| ~ spl0_25
| ~ spl0_112
| spl0_143
| ~ spl0_20
| ~ spl0_133
| spl0_84 ),
inference(rat,[],[s3034,s475,s3675,s2211,s1688,s250,s3442,s3219]) ).
cnf(s3848,plain,
( ~ spl0_25
| ~ spl0_102
| spl0_76
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s3513,s475,s2417,s2221,s601,s2151,s3431,s27,s2179,s2226,s3847,s3276,s3795,s3200,s3846,s2727,s291,s19,s3836,s535,s739,s94,s3845]) ).
cnf(s3849,plain,
( spl0_111
| spl0_137
| ~ spl0_102
| spl0_76
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s3806,s2941,s34,s2872,s3444,s3135,s1679,s2216,s1688,s1354,s27,s3442,s1158,s3459,s291,s787,s19,s3836,s3845,s3840,s3848,s535]) ).
cnf(s3850,plain,
( ~ spl0_72
| ~ spl0_102
| spl0_76
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s1265,s3844,s3843,s446,s3842,s3820,s1432,s34,s2076,s1171,s27,s887,s1612,s2226,s3849,s1782,s2727,s1569,s1873,s19,s3836,s739,s94,s3845,s3840,s3848,s535]) ).
cnf(s3851,plain,
( spl0_111
| ~ spl0_102
| spl0_76
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s925,s2481,s719,s1879,s2211,s1688,s3849,s3442,s2727,s291,s94,s19,s3836,s3200,s3850,s3789]) ).
cnf(s3852,plain,
( ~ spl0_52
| ~ spl0_152
| ~ spl0_111
| ~ spl0_26
| ~ spl0_102
| spl0_76
| ~ spl0_61
| spl0_106
| spl0_84 ),
inference(rat,[],[s3844,s446,s1265,s173,s3843,s1567,s2727,s1569,s535,s739]) ).
cnf(s3853,plain,
( ~ spl0_102
| spl0_76
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s3640,s715,s2109,s3513,s3852,s3120,s404,s3440,s1356,s510,s2762,s27,s1612,s2226,s3851,s3840,s3848,s3845,s94,s19,s3836,s535,s3789]) ).
cnf(s3854,plain,
( spl0_111
| spl0_112
| spl0_76
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s475,s507,s3319,s2211,s2214,s3795,s715,s3200,s1688,s3841,s3442,s291,s19,s3836,s535,s3639,s3853,s3789]) ).
cnf(s3855,plain,
( ~ spl0_72
| ~ spl0_25
| ~ spl0_111
| ~ spl0_69
| ~ spl0_147
| ~ spl0_20
| spl0_106
| spl0_84 ),
inference(rat,[],[s2760,s2784,s817,s2014,s3276,s887,s1582,s3789]) ).
cnf(s3856,plain,
( ~ spl0_25
| ~ spl0_111
| ~ spl0_69
| ~ spl0_163
| spl0_76
| ~ spl0_20
| spl0_106
| spl0_84 ),
inference(rat,[],[s180,s1879,s2469,s602,s2151,s3431,s2179,s497,s3276,s3634,s3795,s3200,s3855,s291,s535,s3789]) ).
cnf(s3857,plain,
( ~ spl0_15
| ~ spl0_111
| spl0_112
| spl0_102
| ~ spl0_147
| ~ spl0_20
| spl0_40
| spl0_106 ),
inference(rat,[],[s27,s49,s933,s2702,s23,s3319,s3445,s1608,s818,s3439,s937,s644]) ).
cnf(s3858,plain,
( ~ spl0_238
| ~ spl0_187
| spl0_29
| ~ spl0_26
| ~ spl0_111
| ~ spl0_69
| spl0_76
| spl0_40
| spl0_106 ),
inference(rat,[],[s773,s937,s3291,s1374,s23,s1739,s3828,s1583,s1082,s3789]) ).
cnf(s3859,plain,
( spl0_29
| ~ spl0_26
| ~ spl0_14
| ~ spl0_111
| ~ spl0_69
| spl0_76
| spl0_9
| spl0_40
| spl0_106
| ~ spl0_142 ),
inference(rat,[],[s3640,s715,s2109,s3513,s3843,s1265,s3858,s1165,s27,s19,s739,s94,s3789]) ).
cnf(s3860,plain,
( ~ spl0_72
| ~ spl0_29
| ~ spl0_93
| ~ spl0_69
| spl0_84 ),
inference(rat,[],[s884,s1582]) ).
cnf(s3861,plain,
( spl0_112
| spl0_76
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s180,s1879,s2469,s602,s2151,s3431,s2162,s2384,s497,s2214,s3634,s3795,s3200,s3860,s3859,s2079,s82,s3120,s3857,s3856,s3854,s446,s1814,s3268,s2727,s291,s94,s19,s3836,s535,s3639,s3853,s3789]) ).
cnf(s3862,plain,
( spl0_111
| spl0_76
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s790,s3084,s34,s104,s3444,s1774,s1679,s2216,s1688,s1354,s27,s3442,s1158,s3459,s291,s1873,s19,s3836,s535,s3861]) ).
cnf(s3863,plain,
( ~ spl0_25
| spl0_76
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s3196,s715,s1567,s1565,s173,s446,s3856,s1569,s94,s3639,s3853,s510,s27,s2226,s3862,s3861,s19,s3836,s3789]) ).
cnf(s3864,plain,
( ~ spl0_239
| spl0_162
| ~ spl0_112
| ~ spl0_163
| ~ spl0_147
| spl0_106
| spl0_84 ),
inference(rat,[],[s2303,s1082,s3077,s3819,s2054,s3789]) ).
cnf(s3865,plain,
( spl0_239
| ~ spl0_67
| ~ spl0_111
| spl0_143
| ~ spl0_142 ),
inference(rat,[],[s2610,s3078,s1775,s2299]) ).
cnf(s3866,plain,
( spl0_76
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s82,s3120,s1265,s87,s3843,s3513,s715,s3319,s466,s1082,s3864,s3819,s3865,s3863,s102,s2762,s27,s1612,s2226,s3862,s3861,s3639,s3853,s739,s535,s2727,s94,s1873,s19,s3836,s3789]) ).
cnf(s3867,plain,
( ~ spl0_102
| spl0_183
| spl0_180
| ~ spl0_281
| spl0_66
| spl0_9
| ~ spl0_61
| spl0_84 ),
inference(rat,[],[s2667,s433,s773,s3638,s23,s3842,s2539,s818]) ).
cnf(s3868,plain,
( spl0_93
| spl0_102
| spl0_25
| ~ spl0_262 ),
inference(rat,[],[s2776,s82,s1457,s2079,s1850]) ).
cnf(s3869,plain,
( ~ spl0_71
| ~ spl0_50
| ~ spl0_262
| ~ spl0_88
| ~ spl0_142 ),
inference(rat,[],[s592,s2607,s475,s2014,s2211,s3789]) ).
cnf(s3870,plain,
( spl0_111
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s23,s3702,s2539,s3868,s884,s854,s3200,s3869,s1688,s27,s3219,s3442,s3459,s2727,s291,s19,s3836,s2008,s176,s650,s3866,s3789]) ).
cnf(s3871,plain,
( ~ spl0_102
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s27,s998,s2226,s2667,s1766,s773,s821,s23,s3867,s2539,s3466,s94,s1873,s19,s3836,s2008,s937,s650,s3866,s3870,s3789]) ).
cnf(s3874,plain,
( ~ spl0_72
| ~ spl0_69
| spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s2771,s2096,s104,s1353,s592,s1774,s3135,s2025,s3860,s3431,s27,s2784,s1171,s178,s887,s854,s705,s2727,s1873,s19,s3836,s3866,s3870]) ).
cnf(s3876,plain,
( spl0_96
| ~ spl0_28
| ~ spl0_25 ),
inference(rat,[],[s2014,s1171,s3276,s3789]) ).
cnf(s3880,plain,
( spl0_89
| ~ spl0_29
| ~ spl0_71
| ~ spl0_163
| ~ spl0_111
| ~ spl0_88 ),
inference(rat,[],[s2107,s1879,s3431,s1350,s506,s2607,s2214,s3789]) ).
cnf(s3881,plain,
( ~ spl0_29
| ~ spl0_71
| ~ spl0_163
| ~ spl0_111
| ~ spl0_88
| ~ spl0_133 ),
inference(rat,[],[s709,s3431,s828,s2107,s178,s439,s2014,s3880,s3789]) ).
cnf(s3882,plain,
( ~ spl0_85
| ~ spl0_52
| ~ spl0_28
| ~ spl0_163
| spl0_167
| ~ spl0_61
| ~ spl0_142 ),
inference(rat,[],[s23,s476,s3638,s1171,s364,s2417,s1350,s592]) ).
cnf(s3883,plain,
( spl0_85
| ~ spl0_71
| ~ spl0_88
| ~ spl0_133 ),
inference(rat,[],[s2014,s2486,s2386,s3789]) ).
cnf(s3884,plain,
( ~ spl0_71
| ~ spl0_163
| ~ spl0_111
| spl0_167
| ~ spl0_88
| ~ spl0_20
| ~ spl0_61
| ~ spl0_133
| ~ spl0_142 ),
inference(rat,[],[s2760,s709,s2179,s828,s1169,s178,s475,s3513,s1879,s3882,s1350,s592,s3883,s510,s27,s3881,s3789]) ).
cnf(s3885,plain,
( spl0_40
| spl0_106
| spl0_84 ),
inference(rat,[],[s3268,s3274,s1814,s446,s3874,s705,s3200,s3884,s3639,s3871,s3870,s818,s937,s176,s650,s3866,s19,s3836,s94,s2727,s291,s3789]) ).
cnf(s3886,plain,
( ~ spl0_9
| ~ spl0_40 ),
inference(rat,[],[s82,s3196,s3120,s853,s166,s32,s537,s437,s3789]) ).
cnf(s3887,plain,
( spl0_174
| ~ spl0_26
| ~ spl0_153 ),
inference(rat,[],[s1082,s3364,s1265,s3789]) ).
cnf(s3888,plain,
( ~ spl0_52
| ~ spl0_147
| ~ spl0_102
| ~ spl0_72
| ~ spl0_50
| spl0_111
| spl0_9
| spl0_38
| spl0_106
| ~ spl0_142 ),
inference(rat,[],[s1842,s3080,s3337,s2456,s2479,s1684,s1846,s3887,s3190,s2762,s1669,s3439,s102,s251,s25,s1825,s1777,s1592,s3276,s3120,s884,s1849,s1881,s404,s1792,s2775,s3444,s389,s2846,s34,s790,s3675,s1354,s1158,s27,s19,s3459,s1782,s403]) ).
cnf(s3889,plain,
( ~ spl0_147
| ~ spl0_102
| ~ spl0_72
| ~ spl0_50
| spl0_111
| spl0_9
| spl0_38
| spl0_57
| spl0_106
| ~ spl0_142 ),
inference(rat,[],[s1777,s104,s884,s1849,s1792,s3444,s2846,s34,s162,s3840,s3196,s3104,s3888,s1354,s1158,s27,s19,s3459]) ).
cnf(s3890,plain,
( ~ spl0_102
| ~ spl0_72
| ~ spl0_142
| ~ spl0_50
| spl0_111
| spl0_9
| spl0_38
| spl0_57
| spl0_106 ),
inference(rat,[],[s23,s2539,s3702,s2008,s535,s3889]) ).
cnf(s3891,plain,
( ~ spl0_52
| ~ spl0_147
| ~ spl0_72
| ~ spl0_50
| ~ spl0_29
| spl0_152
| spl0_111
| ~ spl0_58
| ~ spl0_142 ),
inference(rat,[],[s1842,s3080,s3337,s2456,s2479,s1684,s1846,s3887,s82,s3120,s2762,s319,s102,s1643,s3292,s3190,s1669,s251,s3276,s1777,s1592,s439,s1879,s884,s1849,s1881,s3444,s389,s34,s790,s1354,s3789]) ).
cnf(s3892,plain,
( spl0_52
| spl0_102
| ~ spl0_72
| ~ spl0_50
| ~ spl0_29
| ~ spl0_262
| spl0_111
| ~ spl0_40 ),
inference(rat,[],[s3292,s1669,s104,s251,s1777,s1592,s439,s1879,s884,s1849,s3868,s3196,s3104,s537,s3675,s437,s3789]) ).
cnf(s3893,plain,
( ~ spl0_72
| ~ spl0_50
| spl0_111
| ~ spl0_40
| spl0_106
| ~ spl0_142 ),
inference(rat,[],[s3868,s884,s3219,s854,s650,s535,s3891,s3892,s3890,s537,s3675,s437,s1158,s3442,s291,s27,s19,s3886,s3459,s3789]) ).
cnf(s3894,plain,
( spl0_111
| spl0_106
| spl0_84 ),
inference(rat,[],[s357,s3034,s577,s176,s719,s475,s3869,s2211,s3200,s3893,s1688,s3442,s2727,s291,s3675,s437,s19,s3886,s3885,s3789]) ).
cnf(s3895,plain,
( ~ spl0_44
| spl0_43
| ~ spl0_29
| ~ spl0_52
| ~ spl0_147
| ~ spl0_72
| ~ spl0_111
| spl0_84 ),
inference(rat,[],[s2760,s604,s2107,s3391,s60,s824]) ).
cnf(s3896,plain,
( spl0_79
| ~ spl0_11
| ~ spl0_29
| ~ spl0_72
| ~ spl0_111
| ~ spl0_133 ),
inference(rat,[],[s709,s717,s3431,s884,s2107]) ).
cnf(s3897,plain,
( spl0_112
| ~ spl0_29
| ~ spl0_52
| ~ spl0_102
| ~ spl0_147
| ~ spl0_72
| spl0_106
| spl0_84 ),
inference(rat,[],[s2302,s3415,s2479,s3077,s1684,s1846,s2610,s3887,s389,s2762,s1169,s102,s3348,s1777,s251,s1849,s1592,s971,s3896,s23,s21,s1792,s866,s2846,s3585,s34,s162,s65,s3895,s1766,s2727,s291,s3675,s437,s3886,s3885,s1782,s3840,s3276,s403,s887,s3894,s3789]) ).
cnf(s3898,plain,
( spl0_79
| spl0_168
| ~ spl0_29
| ~ spl0_147
| ~ spl0_111 ),
inference(rat,[],[s2760,s604,s2107]) ).
cnf(s3899,plain,
( ~ spl0_44
| spl0_48
| ~ spl0_29
| ~ spl0_26
| spl0_137
| ~ spl0_147
| ~ spl0_72
| ~ spl0_111
| spl0_84 ),
inference(rat,[],[s1587,s34,s103,s1817,s1582,s3898,s824]) ).
cnf(s3900,plain,
( ~ spl0_29
| ~ spl0_52
| ~ spl0_102
| ~ spl0_147
| ~ spl0_72
| spl0_106
| spl0_84 ),
inference(rat,[],[s3896,s34,s1592,s162,s65,s3899,s254,s3329,s1612,s3897,s291,s437,s3319,s537,s3885,s1782,s3840,s3276,s403,s887,s3894,s3789]) ).
cnf(s3901,plain,
( ~ spl0_44
| ~ spl0_23
| spl0_43
| ~ spl0_52
| ~ spl0_26
| ~ spl0_102
| ~ spl0_147
| spl0_106
| spl0_84 ),
inference(rat,[],[s1266,s1349,s3504,s3503,s2929,s2471,s1724,s2839,s2476,s3077,s3395,s1846,s2610,s1265,s2788,s60,s824,s291,s3319,s537,s3885,s3894,s3789]) ).
cnf(s3904,plain,
( ~ spl0_238
| ~ spl0_23
| spl0_29
| ~ spl0_26
| spl0_76
| ~ spl0_111
| spl0_106 ),
inference(rat,[],[s3828,s1082,s3789]) ).
cnf(s3906,plain,
( spl0_168
| spl0_234
| ~ spl0_286
| ~ spl0_23
| ~ spl0_26
| ~ spl0_102
| ~ spl0_147
| ~ spl0_111
| ~ spl0_133 ),
inference(rat,[],[s1266,s1349,s3504,s3503,s2929,s2471,s1724,s2839,s2524]) ).
cnf(s3907,plain,
( ~ spl0_190
| ~ spl0_50
| ~ spl0_123
| ~ spl0_28
| ~ spl0_102
| ~ spl0_111 ),
inference(rat,[],[s1596,s1266,s1189]) ).
cnf(s3908,plain,
( ~ spl0_52
| ~ spl0_102
| spl0_76
| ~ spl0_72
| spl0_106
| spl0_84 ),
inference(rat,[],[s1856,s1406,s1745,s2029,s1176,s3504,s3907,s3906,s2476,s3077,s1846,s2610,s3843,s1265,s3904,s65,s3901,s254,s23,s3294,s1567,s1145,s994,s1171,s510,s27,s3900,s2727,s1569,s291,s3319,s537,s19,s3886,s3885,s3465,s3840,s3276,s403,s887,s3894,s535,s3789]) ).
cnf(s3909,plain,
( ~ spl0_44
| ~ spl0_29
| spl0_42
| ~ spl0_26
| spl0_137
| ~ spl0_147
| ~ spl0_72
| spl0_106
| spl0_84 ),
inference(rat,[],[s1766,s1612,s60,s3899,s3894]) ).
cnf(s3910,plain,
( ~ spl0_29
| spl0_42
| ~ spl0_45
| ~ spl0_102
| ~ spl0_147
| ~ spl0_72
| spl0_106
| spl0_84 ),
inference(rat,[],[s1777,s1849,s104,s971,s1792,s3896,s2846,s34,s162,s65,s3909,s291,s437,s3885,s1782,s3840,s3276,s403,s887,s3894,s3789]) ).
cnf(s3911,plain,
( ~ spl0_224
| ~ spl0_286
| ~ spl0_189
| ~ spl0_23
| ~ spl0_147
| ~ spl0_40
| ~ spl0_133 ),
inference(rat,[],[s2839,s1724,s2476,s2929,s1433,s3319,s537,s3789]) ).
cnf(s3912,plain,
( ~ spl0_102
| spl0_76
| ~ spl0_72
| spl0_106
| spl0_84 ),
inference(rat,[],[s1856,s1745,s1406,s1176,s2029,s3865,s2524,s3813,s3911,s3077,s2610,s3504,s1265,s3907,s3904,s104,s254,s23,s1792,s3294,s3513,s1145,s994,s1171,s27,s3910,s3376,s3104,s3908,s3840,s3276,s403,s3465,s2727,s291,s437,s3319,s537,s19,s3886,s3885,s887,s3894,s535,s3789]) ).
cnf(s3913,plain,
( ~ spl0_29
| ~ spl0_44
| ~ spl0_52
| ~ spl0_147
| ~ spl0_72
| spl0_106
| spl0_84 ),
inference(rat,[],[s2776,s28,s82,s1587,s3909,s103,s3276,s1612,s3391,s1582,s439,s1879,s1766,s3898,s3895,s887,s3894,s824,s3789]) ).
cnf(s3914,plain,
( ~ spl0_208
| ~ spl0_223
| ~ spl0_23
| ~ spl0_40 ),
inference(rat,[],[s1753,s3500,s1255,s1856,s1344,s1267,s3415,s1455,s3122,s1343]) ).
cnf(s3915,plain,
( ~ spl0_191
| ~ spl0_23
| spl0_168
| ~ spl0_163
| ~ spl0_147
| spl0_162 ),
inference(rat,[],[s1473,s2477,s2471]) ).
cnf(s3916,plain,
( spl0_50
| ~ spl0_52
| spl0_76
| ~ spl0_72
| spl0_106
| spl0_84 ),
inference(rat,[],[s2653,s2458,s1082,s3079,s1583,s2476,s2618,s2639,s3914,s3362,s3503,s3915,s103,s173,s1565,s1165,s27,s3913,s23,s3445,s824,s792,s65,s466,s3319,s537,s19,s3886,s3885,s3894,s535,s3639,s3912,s3789]) ).
cnf(s3917,plain,
( ~ spl0_79
| spl0_21
| ~ spl0_11
| ~ spl0_50
| spl0_174
| spl0_102
| ~ spl0_72
| ~ spl0_111
| ~ spl0_58 ),
inference(rat,[],[s82,s3887,s3120,s389,s644,s1169,s1643,s1669,s3348,s23,s251,s21,s3276,s1592,s1676,s439,s1879,s887,s3789]) ).
cnf(s3918,plain,
( ~ spl0_208
| ~ spl0_23
| ~ spl0_123
| ~ spl0_50 ),
inference(rat,[],[s1596,s1267]) ).
cnf(s3919,plain,
( ~ spl0_23
| ~ spl0_123
| ~ spl0_28
| ~ spl0_50
| ~ spl0_163
| ~ spl0_147
| ~ spl0_111
| spl0_162 ),
inference(rat,[],[s2029,s3915,s3504,s3503,s1189,s3360,s1406,s3918,s1528]) ).
cnf(s3920,plain,
( ~ spl0_52
| spl0_76
| ~ spl0_72
| spl0_106
| spl0_84 ),
inference(rat,[],[s818,s937,s3445,s1374,s23,s3919,s254,s3294,s2014,s1171,s1165,s27,s3896,s3917,s3585,s34,s790,s3916,s3843,s2727,s291,s466,s3319,s537,s19,s3886,s887,s3894,s535,s3639,s356,s3912,s3675,s437,s3885,s3789]) ).
cnf(s3921,plain,
( spl0_50
| spl0_76
| ~ spl0_72
| spl0_106
| spl0_84 ),
inference(rat,[],[s2776,s623,s82,s1432,s3909,s1612,s1879,s1766,s3898,s27,s60,s3108,s824,s3513,s65,s19,s3894,s535,s3376,s3886,s3196,s3920,s537,s3885,s3789]) ).
cnf(s3922,plain,
( ~ spl0_15
| spl0_89
| ~ spl0_29
| ~ spl0_50
| ~ spl0_72
| ~ spl0_111
| ~ spl0_58
| ~ spl0_133 ),
inference(rat,[],[s1643,s1669,s251,s1592,s1879,s3896,s644,s28,s3789]) ).
cnf(s3923,plain,
( ~ spl0_26
| ~ spl0_29
| ~ spl0_50
| ~ spl0_45
| spl0_102
| ~ spl0_72
| ~ spl0_111
| spl0_162
| spl0_38
| spl0_106 ),
inference(rat,[],[s2303,s1857,s3077,s1792,s2610,s104,s3917,s1777,s34,s3584,s884,s1849,s162,s2079,s3675,s3639]) ).
cnf(s3924,plain,
( ~ spl0_29
| ~ spl0_50
| spl0_25
| ~ spl0_45
| spl0_102
| ~ spl0_72
| ~ spl0_111
| spl0_162
| spl0_38
| spl0_106 ),
inference(rat,[],[s439,s3896,s3922,s28,s3120,s82,s3923,s291,s3675,s3789]) ).
cnf(s3925,plain,
( spl0_76
| ~ spl0_72
| spl0_106
| spl0_84 ),
inference(rat,[],[s818,s937,s3445,s1374,s23,s3919,s254,s3294,s2014,s1171,s1165,s27,s3924,s3921,s3196,s3104,s3920,s3639,s3912,s535,s437,s466,s3319,s537,s19,s3886,s3885,s887,s3894,s3789]) ).
cnf(s3926,plain,
( ~ spl0_72
| spl0_106
| spl0_84 ),
inference(rat,[],[s2763,s102,s89,s1792,s1774,s34,s2106,s884,s3896,s603,s27,s3431,s1171,s2784,s176,s854,s705,s650,s3925,s887,s291,s437,s466,s3319,s537,s19,s3886,s3885,s3894,s3789]) ).
cnf(s3927,plain,
( ~ spl0_79
| spl0_106
| spl0_84 ),
inference(rat,[],[s2528,s3073,s2487,s402,s1879,s3675,s437,s3885,s3200,s3926,s3789]) ).
cnf(s3928,plain,
( spl0_76
| spl0_79
| ~ spl0_71
| ~ spl0_58
| ~ spl0_280
| spl0_106
| ~ spl0_142 ),
inference(rat,[],[s2487,s1878,s3431,s925,s176,s2151,s2159,s2386,s2469,s2491,s609,s3795,s535,s291,s180]) ).
cnf(s3929,plain,
( ~ spl0_73
| ~ spl0_87
| spl0_79
| ~ spl0_71
| ~ spl0_280
| ~ spl0_133
| ~ spl0_142 ),
inference(rat,[],[s178,s2159,s828,s925,s709,s586]) ).
cnf(s3930,plain,
( ~ spl0_239
| ~ spl0_171
| spl0_127
| ~ spl0_130
| ~ spl0_40 ),
inference(rat,[],[s2364,s3159,s2166,s2464,s1433,s19,s3886]) ).
cnf(s3931,plain,
( spl0_106
| spl0_84 ),
inference(rat,[],[s3446,s2023,s3080,s2458,s3122,s1082,s1583,s2476,s3930,s1858,s1145,s23,s3134,s476,s3843,s103,s2487,s357,s3513,s65,s925,s577,s2162,s475,s2159,s3135,s1171,s2186,s27,s2179,s2107,s3431,s3929,s592,s3883,s1814,s176,s3268,s3190,s650,s833,s2008,s3928,s379,s3927,s3200,s3926,s3894,s19,s3886,s3675,s3319,s437,s537,s2081,s3885,s291,s2727,s3789]) ).
cnf(s3932,plain,
( ~ spl0_9
| spl0_168
| ~ spl0_52
| ~ spl0_48
| ~ spl0_29
| ~ spl0_72
| ~ spl0_61
| ~ spl0_147
| spl0_25
| spl0_84 ),
inference(rat,[],[s3812,s2079,s1583,s3860,s446,s173,s1767,s2308,s3078,s2524,s1683,s3798,s82,s3120,s32,s3931,s3789]) ).
cnf(s3933,plain,
( ~ spl0_283
| ~ spl0_69
| ~ spl0_112
| ~ spl0_106 ),
inference(rat,[],[s1583,s2054,s2324]) ).
cnf(s3934,plain,
( spl0_9
| ~ spl0_52
| ~ spl0_29
| spl0_272
| spl0_40
| spl0_76
| spl0_111
| spl0_84 ),
inference(rat,[],[s1846,s2299,s2300,s3077,s3933,s446,s3135,s3820,s1679,s1608,s3319,s933,s28,s3120,s787,s1825,s19,s2727,s3439,s535,s1880,s3931,s739,s94,s2216,s3789]) ).
cnf(s3935,plain,
( ~ spl0_52
| ~ spl0_29
| ~ spl0_72
| spl0_40
| spl0_76
| spl0_111
| spl0_84 ),
inference(rat,[],[s824,s65,s3932,s88,s3934,s3219,s1880,s3931,s535,s94,s1897,s2216,s3789]) ).
cnf(s3936,plain,
( ~ spl0_29
| ~ spl0_72
| spl0_40
| spl0_76
| spl0_111
| spl0_84 ),
inference(rat,[],[s3183,s3933,s2524,s824,s446,s3049,s65,s3273,s1679,s220,s2231,s3104,s3935,s2216,s3499,s535,s94,s455,s3931]) ).
cnf(s3937,plain,
( ~ spl0_9
| spl0_168
| ~ spl0_52
| spl0_29
| ~ spl0_72
| ~ spl0_61
| ~ spl0_147
| spl0_25
| ~ spl0_106 ),
inference(rat,[],[s3554,s773,s2550,s1817,s23,s403,s1782,s990,s2079,s320,s34,s33,s3407,s2836,s2308,s3078,s2524,s3798,s82,s3120,s32,s455,s3789]) ).
cnf(s3938,plain,
( spl0_9
| ~ spl0_52
| ~ spl0_72
| spl0_40
| spl0_76
| spl0_111
| spl0_84 ),
inference(rat,[],[s1846,s2299,s2300,s3077,s3933,s446,s1608,s3135,s173,s3319,s1881,s1567,s87,s3647,s510,s3120,s27,s787,s1825,s19,s2727,s3439,s535,s1880,s3931,s739,s94,s1897,s3936,s3789]) ).
cnf(s3939,plain,
( ~ spl0_52
| ~ spl0_72
| spl0_40
| spl0_76
| spl0_111
| spl0_84 ),
inference(rat,[],[s824,s65,s3937,s88,s3938,s3219,s1880,s3931,s535,s94,s3936,s3789]) ).
cnf(s3940,plain,
( ~ spl0_72
| spl0_40
| spl0_76
| spl0_111
| spl0_84 ),
inference(rat,[],[s2524,s2954,s3077,s34,s3933,s33,s824,s446,s3513,s65,s3273,s220,s2231,s313,s3104,s3939,s3936,s455,s3931,s3499,s535,s94]) ).
cnf(s3941,plain,
( ~ spl0_9
| ~ spl0_44
| ~ spl0_52
| ~ spl0_29
| spl0_40
| ~ spl0_147
| spl0_25
| spl0_84 ),
inference(rat,[],[s320,s34,s2079,s389,s1129,s3712,s3887,s1583,s3933,s2787,s446,s60,s173,s1767,s2308,s3078,s2524,s1683,s3798,s82,s2775,s3120,s31,s32,s3931,s94,s2216,s824,s3789]) ).
cnf(s3942,plain,
( spl0_9
| ~ spl0_52
| ~ spl0_29
| spl0_40
| spl0_76
| spl0_111
| spl0_84 ),
inference(rat,[],[s2300,s3135,s1846,s1679,s2299,s1608,s3077,s3319,s2308,s933,s1568,s3120,s787,s3934,s1825,s19,s2727,s3439,s535,s1880,s3931,s739,s94,s2216,s3789]) ).
cnf(s3943,plain,
( ~ spl0_52
| ~ spl0_29
| spl0_40
| spl0_76
| spl0_111
| spl0_84 ),
inference(rat,[],[s65,s3941,s88,s3942,s3219,s1880,s3931,s535,s3789]) ).
cnf(s3944,plain,
( ~ spl0_29
| spl0_40
| spl0_76
| spl0_111
| spl0_84 ),
inference(rat,[],[s2481,s638,s925,s34,s718,s3444,s2186,s1354,s3549,s3135,s983,s930,s1679,s220,s2987,s2231,s3104,s3943,s2216,s2727,s3931,s3180,s3499,s535,s94,s3200,s3940]) ).
cnf(s3945,plain,
( spl0_112
| spl0_168
| ~ spl0_52
| spl0_29
| spl0_40
| ~ spl0_147
| spl0_111
| spl0_84 ),
inference(rat,[],[s33,s3407,s34,s2836,s320,s2308,s2079,s3078,s3712,s2524,s2775,s3798,s31,s82,s1825,s3120,s87,s3319,s1608,s3219,s3439,s1880,s3931,s94,s3789]) ).
cnf(s3947,plain,
( ~ spl0_79
| ~ spl0_31
| ~ spl0_26 ),
inference(rat,[],[s1817,s1879,s3789]) ).
cnf(s3948,plain,
( ~ spl0_9
| ~ spl0_112
| spl0_168
| ~ spl0_71
| ~ spl0_61
| ~ spl0_147
| spl0_25
| spl0_84 ),
inference(rat,[],[s666,s925,s2386,s2481,s609,s3947,s156,s23,s990,s2079,s320,s34,s3820,s446,s1568,s3933,s2308,s3078,s2524,s3798,s82,s3120,s32,s2727,s176,s1880,s3931,s3789]) ).
cnf(s3949,plain,
( spl0_85
| ~ spl0_15
| ~ spl0_71
| ~ spl0_95
| ~ spl0_88 ),
inference(rat,[],[s263,s2467,s2386]) ).
cnf(s3950,plain,
( spl0_168
| ~ spl0_52
| spl0_40
| spl0_76
| spl0_111
| spl0_84 ),
inference(rat,[],[s605,s3431,s2096,s2160,s592,s3949,s3120,s787,s1825,s19,s3948,s3945,s2727,s176,s3180,s3219,s3439,s535,s1880,s3931,s94,s3200,s3940,s3944,s3789]) ).
cnf(s3951,plain,
( ~ spl0_50
| spl0_40
| ~ spl0_193
| ~ spl0_106 ),
inference(rat,[],[s1608,s3319,s220,s715,s3789]) ).
cnf(s3952,plain,
( spl0_40
| spl0_76
| spl0_111
| spl0_84 ),
inference(rat,[],[s19,s3948,s27,s2231,s3513,s3104,s3950,s824,s65,s3951,s3944,s3200,s3940,s94,s3219,s3499,s3439,s535,s1880,s3931,s3789]) ).
cnf(s3953,plain,
( ~ spl0_286
| spl0_143
| spl0_168
| ~ spl0_40
| ~ spl0_147
| ~ spl0_142 ),
inference(rat,[],[s1433,s2524,s2299]) ).
cnf(s3954,plain,
( ~ spl0_152
| spl0_224
| spl0_223
| ~ spl0_61
| spl0_272
| ~ spl0_52 ),
inference(rat,[],[s1583,s1129,s446,s173,s1567]) ).
cnf(s3956,plain,
( ~ spl0_102
| ~ spl0_72
| ~ spl0_29
| ~ spl0_15
| ~ spl0_106 ),
inference(rat,[],[s773,s3554,s2550,s23,s972,s403,s990,s455]) ).
cnf(s3957,plain,
( spl0_102
| ~ spl0_29
| spl0_50
| ~ spl0_15
| ~ spl0_40
| ~ spl0_147
| ~ spl0_95
| spl0_84 ),
inference(rat,[],[s3141,s2105,s3501,s2230,s1405,s3504,s2426,s2489,s1288,s2259,s1724,s2324,s2308,s2832,s3078,s23,s3953,s3445,s356,s2727,s176,s1880,s3931,s3675,s437,s466,s3319,s792,s537,s824,s65,s3789]) ).
cnf(s3958,plain,
( ~ spl0_71
| ~ spl0_15
| ~ spl0_40
| ~ spl0_147
| ~ spl0_95
| spl0_84 ),
inference(rat,[],[s609,s3949,s3738,s176,s1880,s3190,s542,s3931,s3789]) ).
cnf(s3959,plain,
( ~ spl0_29
| spl0_50
| ~ spl0_15
| ~ spl0_40
| ~ spl0_147
| ~ spl0_95
| spl0_84 ),
inference(rat,[],[s3956,s3957,s3931,s3200,s3958]) ).
cnf(s3960,plain,
( ~ spl0_286
| spl0_93
| spl0_168
| spl0_98
| spl0_112
| ~ spl0_40
| ~ spl0_147
| ~ spl0_142 ),
inference(rat,[],[s3015,s1433,s2300,s2524,s3135]) ).
cnf(s3961,plain,
( spl0_50
| ~ spl0_15
| spl0_98
| ~ spl0_40
| ~ spl0_147
| ~ spl0_95
| spl0_84 ),
inference(rat,[],[s1583,s1129,s2324,s2308,s3078,s3960,s103,s173,s1881,s1567,s3513,s3647,s510,s33,s3959,s824,s65,s2727,s542,s34,s3774,s3931,s1897,s3200,s3958]) ).
cnf(s3962,plain,
( ~ spl0_283
| spl0_102
| ~ spl0_29
| ~ spl0_50
| ~ spl0_15
| spl0_162
| ~ spl0_123
| ~ spl0_147
| ~ spl0_95
| ~ spl0_106 ),
inference(rat,[],[s3141,s2105,s3504,s3501,s2426,s2230,s2259,s1724,s3918,s2832,s23,s3445,s818,s934,s2489,s1288,s1114,s2324,s2308,s176,s1880,s3789]) ).
cnf(s3963,plain,
( ~ spl0_79
| ~ spl0_50
| ~ spl0_123 ),
inference(rat,[],[s1592,s1879,s3789]) ).
cnf(s3964,plain,
( ~ spl0_29
| ~ spl0_15
| spl0_98
| ~ spl0_40
| ~ spl0_147
| ~ spl0_95
| spl0_84 ),
inference(rat,[],[s3183,s3960,s717,s3962,s884,s3956,s2727,s34,s3774,s466,s3200,s3958,s3963,s3961,s254,s3344,s542,s1880,s3931,s3319,s537,s3789]) ).
cnf(s3965,plain,
( spl0_76
| spl0_111
| spl0_84 ),
inference(rat,[],[s2371,s3159,s1288,s2462,s2324,s2308,s3431,s3078,s604,s3960,s717,s1881,s3647,s33,s3964,s3963,s3961,s455,s3200,s3958,s3120,s787,s254,s1825,s19,s34,s3319,s3344,s3886,s3774,s537,s542,s3952,s3439,s535,s2727,s1880,s3931,s3180,s3789]) ).
cnf(s3966,plain,
( ~ spl0_102
| ~ spl0_72
| ~ spl0_76
| ~ spl0_106 ),
inference(rat,[],[s23,s3702,s990]) ).
cnf(s3975,plain,
( ~ spl0_93
| ~ spl0_72
| ~ spl0_76
| ~ spl0_106 ),
inference(rat,[],[s19,s3767,s539]) ).
cnf(s3976,plain,
( ~ spl0_286
| ~ spl0_23
| spl0_143
| spl0_162
| ~ spl0_52
| ~ spl0_15
| ~ spl0_163
| ~ spl0_142 ),
inference(rat,[],[s389,s1129,s3364,s1343,s1082,s1277,s2299,s2303,s28,s3789]) ).
cnf(s3977,plain,
( ~ spl0_29
| spl0_143
| spl0_22
| ~ spl0_52
| ~ spl0_15
| ~ spl0_7
| ~ spl0_163
| spl0_33
| spl0_79
| spl0_105
| spl0_84 ),
inference(rat,[],[s2371,s3159,s1288,s2462,s2324,s2308,s3078,s3976,s3431,s23,s603,s21,s2106,s41,s2727,s176,s1880,s3931,s466,s3319,s87,s3789]) ).
cnf(s3978,plain,
( ~ spl0_72
| spl0_40
| spl0_111
| spl0_84 ),
inference(rat,[],[s3954,s2324,s2308,s3078,s3976,s23,s773,s847,s263,s3647,s510,s33,s3977,s356,s466,s1785,s3291,s3675,s3319,s433,s87,s3084,s104,s1873,s19,s28,s31,s3120,s2775,s82,s25,s2079,s1774,s3975,s3639,s386,s3966,s854,s455,s1897,s2727,s3219,s1880,s3931,s3965,s94,s3789]) ).
cnf(s3979,plain,
( ~ spl0_9
| ~ spl0_48
| spl0_40
| spl0_111
| spl0_84 ),
inference(rat,[],[s104,s3292,s3104,s2160,s2096,s3431,s1353,s639,s2467,s2186,s718,s3073,s925,s2528,s1774,s3135,s2481,s539,s3032,s2727,s3180,s3965,s94,s3200,s3978]) ).
cnf(s3980,plain,
( ~ spl0_93
| ~ spl0_102
| spl0_15
| spl0_9
| ~ spl0_106 ),
inference(rat,[],[s21,s866,s2773,s1858,s320,s23,s990]) ).
cnf(s3981,plain,
( spl0_79
| ~ spl0_99
| ~ spl0_20
| ~ spl0_48
| ~ spl0_71
| ~ spl0_61
| ~ spl0_142 ),
inference(rat,[],[s718,s2186,s925,s379,s2481]) ).
cnf(s3982,plain,
( ~ spl0_79
| ~ spl0_71
| ~ spl0_106 ),
inference(rat,[],[s603,s497,s3431,s3634,s325,s439,s1879,s176,s1880,s3789]) ).
cnf(s3983,plain,
( ~ spl0_48
| ~ spl0_14
| spl0_40
| spl0_111
| spl0_84 ),
inference(rat,[],[s3980,s404,s449,s2214,s2384,s2096,s983,s719,s2014,s1169,s389,s34,s320,s3202,s718,s3135,s3981,s19,s3979,s925,s2727,s3073,s2528,s2481,s3982,s3931,s94,s3200,s3978,s3789]) ).
cnf(s3984,plain,
( ~ spl0_9
| ~ spl0_62
| spl0_40
| spl0_111
| spl0_84 ),
inference(rat,[],[s497,s603,s3634,s3431,s666,s364,s2160,s1792,s3292,s102,s1774,s539,s31,s176,s1880,s3965,s925,s2727,s3073,s2528,s2481,s3982,s3931,s94,s3200,s3978,s3789]) ).
cnf(s3985,plain,
( ~ spl0_52
| ~ spl0_163
| ~ spl0_28
| ~ spl0_14
| ~ spl0_130
| ~ spl0_86
| ~ spl0_71 ),
inference(rat,[],[s2014,s2214,s1171,s2384,s1431,s2096,s3789]) ).
cnf(s3986,plain,
( spl0_52
| ~ spl0_28
| spl0_9
| ~ spl0_14
| ~ spl0_61 ),
inference(rat,[],[s3640,s715,s2109,s3513,s3789]) ).
cnf(s3987,plain,
( ~ spl0_14
| spl0_40
| spl0_111
| spl0_84 ),
inference(rat,[],[s3980,s404,s449,s3985,s3986,s3440,s27,s19,s3984,s1356,s2216,s2762,s3983,s925,s2727,s3073,s2528,s2481,s3982,s3931,s94,s3200,s3978]) ).
cnf(s3988,plain,
( ~ spl0_29
| ~ spl0_85
| ~ spl0_15
| spl0_33
| spl0_79
| ~ spl0_71
| spl0_40
| ~ spl0_142 ),
inference(rat,[],[s1350,s476,s3639,s23,s404,s1169,s3638,s3135,s389,s818,s3981,s573,s3202,s718,s934,s2216,s925,s2481,s94,s28,s19,s32,s3789]) ).
cnf(s3989,plain,
( spl0_93
| spl0_66
| ~ spl0_20
| ~ spl0_71
| ~ spl0_61
| spl0_84 ),
inference(rat,[],[s2763,s102,s3981,s1774,s3135,s2727,s3982,s3931]) ).
cnf(s3991,plain,
( ~ spl0_52
| ~ spl0_163
| ~ spl0_28
| ~ spl0_85
| ~ spl0_15
| ~ spl0_86
| ~ spl0_61
| ~ spl0_142 ),
inference(rat,[],[s719,s792,s1171,s3882,s87,s1431]) ).
cnf(s3992,plain,
( spl0_40
| spl0_111
| spl0_84 ),
inference(rat,[],[s2299,s3077,s2464,s2462,s3159,s2365,s1476,s3419,s49,s23,s1145,s2214,s512,s263,s3431,s1171,s605,s719,s313,s3513,s3104,s3991,s356,s3675,s525,s364,s1350,s3639,s404,s3989,s33,s3988,s1873,s19,s3949,s28,s32,s3120,s3987,s704,s3073,s925,s2528,s2481,s3982,s3200,s3978,s94,s2727,s176,s1880,s3931,s3180,s3789]) ).
cnf(s3993,plain,
( spl0_93
| ~ spl0_71
| spl0_111
| spl0_84 ),
inference(rat,[],[s3737,s3084,s2762,s104,s102,s2186,s1774,s3135,s2727,s3292,s379,s3738,s3190,s542,s3931,s19,s3886,s3992]) ).
cnf(s3994,plain,
( ~ spl0_102
| spl0_111
| spl0_84 ),
inference(rat,[],[s3980,s404,s3993,s3200,s3966,s3931,s3965,s3886,s3992]) ).
cnf(s3997,plain,
( ~ spl0_96
| ~ spl0_52
| ~ spl0_71
| ~ spl0_87
| ~ spl0_142 ),
inference(rat,[],[s592,s2349,s2417,s1431]) ).
cnf(s3998,plain,
( ~ spl0_52
| ~ spl0_14
| spl0_111
| spl0_84 ),
inference(rat,[],[s2371,s3159,s1288,s2462,s2324,s2308,s3078,s2299,s1846,s3887,s389,s1169,s2014,s3431,s2214,s605,s2384,s2096,s592,s312,s2467,s2725,s3997,s2727,s3180,s34,s3774,s3639,s356,s3675,s437,s3738,s3200,s3767,s2079,s3994,s82,s3219,s1880,s3965,s19,s3886,s3190,s542,s3992,s3931,s3789]) ).
cnf(s3999,plain,
( ~ spl0_238
| ~ spl0_89
| spl0_90
| ~ spl0_91 ),
inference(rat,[],[s3158,s2372,s2407,s1082,s3789]) ).
cnf(s4000,plain,
( spl0_127
| ~ spl0_96
| ~ spl0_91
| ~ spl0_71
| ~ spl0_26
| ~ spl0_14
| ~ spl0_163
| spl0_162
| ~ spl0_11
| ~ spl0_106 ),
inference(rat,[],[s2372,s2324,s3158,s3078,s2395,s2303,s1265,s3999,s2214,s556,s2384]) ).
cnf(s4001,plain,
( ~ spl0_238
| ~ spl0_23
| ~ spl0_89
| ~ spl0_91 ),
inference(rat,[],[s3158,s2381,s2407,s1343,s1082,s2014,s3789]) ).
cnf(s4002,plain,
( ~ spl0_96
| spl0_21
| ~ spl0_29
| spl0_79
| ~ spl0_71
| ~ spl0_93
| ~ spl0_26
| ~ spl0_14
| ~ spl0_163
| spl0_162
| ~ spl0_11
| spl0_9
| ~ spl0_106 ),
inference(rat,[],[s2381,s2324,s2308,s3158,s3078,s2395,s2303,s1265,s4001,s23,s21,s2014,s866,s2214,s2106,s506,s603,s3431,s2162,s4000,s176,s1880,s180,s3789]) ).
cnf(s4003,plain,
( ~ spl0_238
| spl0_208
| ~ spl0_194
| spl0_204
| ~ spl0_23 ),
inference(rat,[],[s2230,s1288,s1343,s1082,s3789]) ).
cnf(s4004,plain,
( spl0_21
| ~ spl0_29
| ~ spl0_14
| spl0_111
| spl0_84 ),
inference(rat,[],[s1288,s2230,s2324,s2308,s3078,s2303,s4003,s3918,s65,s3108,s3501,s1432,s3361,s3201,s3887,s389,s1169,s476,s2832,s23,s21,s866,s2106,s1350,s592,s2467,s4002,s2727,s3180,s34,s3774,s254,s3344,s466,s3319,s537,s3639,s3738,s3200,s3767,s2079,s3994,s82,s3219,s1880,s3965,s19,s3886,s3190,s542,s3992,s3931,s3998,s3789]) ).
cnf(s4005,plain,
( ~ spl0_29
| ~ spl0_14
| spl0_111
| spl0_84 ),
inference(rat,[],[s579,s592,s41,s3949,s3646,s2773,s4004,s2727,s176,s3180,s537,s3774,s3200,s3767,s2079,s3994,s82,s3219,s1880,s3965,s19,s3886,s3992,s3931,s3789]) ).
cnf(s4006,plain,
( ~ spl0_96
| ~ spl0_14
| spl0_111
| spl0_84 ),
inference(rat,[],[s2381,s2324,s2308,s3158,s3078,s2395,s2303,s1265,s4001,s23,s1145,s475,s2214,s512,s601,s506,s603,s3431,s2162,s4000,s2727,s176,s466,s3319,s537,s3639,s356,s3675,s437,s180,s3738,s3200,s3767,s2079,s3994,s82,s3219,s1880,s3965,s19,s3886,s3190,s542,s3513,s33,s4005,s34,s3774,s3992,s3931,s3998,s3789]) ).
cnf(s4007,plain,
( ~ spl0_14
| spl0_111
| spl0_84 ),
inference(rat,[],[s475,s592,s1171,s2467,s4006,s3513,s33,s4005,s3998,s3200,s3767,s2079,s82,s2727,s3180,s3219,s1880,s3965,s34,s3774,s3931,s19,s3886,s3992,s3994,s3789]) ).
cnf(s4008,plain,
( ~ spl0_96
| ~ spl0_72
| spl0_111
| spl0_84 ),
inference(rat,[],[s2371,s3159,s1288,s2462,s2324,s2308,s3078,s3976,s23,s773,s3431,s847,s601,s3555,s263,s2417,s2727,s466,s3319,s537,s3639,s356,s3675,s437,s3120,s4007,s455,s854,s3084,s104,s1774,s3292,s542,s3992,s2775,s25,s2079,s3975,s3965,s3994,s3219,s1880,s3931,s3789]) ).
cnf(s4009,plain,
( ~ spl0_72
| spl0_111
| spl0_84 ),
inference(rat,[],[s3977,s2264,s27,s3647,s4008,s2775,s3084,s25,s104,s2079,s1774,s386,s3975,s854,s455,s3219,s1880,s3965,s3292,s542,s3931,s19,s3886,s3639,s356,s3994,s3675,s437,s3992,s3120,s4007,s3789]) ).
cnf(s4010,plain,
( ~ spl0_286
| spl0_127
| ~ spl0_130
| ~ spl0_15
| spl0_143
| ~ spl0_163
| spl0_162
| ~ spl0_40
| ~ spl0_142 ),
inference(rat,[],[s3449,s3930,s1277,s2299,s2303]) ).
cnf(s4011,plain,
( ~ spl0_96
| ~ spl0_294
| spl0_170
| ~ spl0_283
| spl0_127
| ~ spl0_71
| ~ spl0_15
| ~ spl0_163
| ~ spl0_88 ),
inference(rat,[],[s2623,s2395,s2364,s3159,s2462,s3431,s506,s2214,s263]) ).
cnf(s4012,plain,
( spl0_111
| spl0_84 ),
inference(rat,[],[s1430,s23,s1277,s476,s3134,s2366,s2371,s2364,s3159,s2462,s3431,s605,s312,s2725,s4011,s3158,s2372,s2166,s1288,s2324,s2308,s3078,s4010,s556,s525,s1350,s592,s180,s3949,s3738,s3200,s4009,s3120,s4007,s356,s3639,s3994,s466,s19,s34,s3675,s3319,s3190,s3886,s3774,s437,s537,s542,s3992,s3180,s2727,s176,s1880,s3931,s3789]) ).
cnf(s4013,plain,
( ~ spl0_102
| ~ spl0_72
| spl0_84 ),
inference(rat,[],[s3444,s3980,s535,s3956,s3966,s34,s380,s27,s1171,s19,s377,s1354,s1169,s455,s3931,s887,s4012]) ).
cnf(s4014,plain,
( spl0_79
| spl0_40
| ~ spl0_72
| spl0_84 ),
inference(rat,[],[s1906,s577,s592,s3431,s3202,s3201,s2107,s2727,s389,s1169,s34,s380,s2216,s2226,s27,s1171,s455,s887,s19,s377,s4012,s3931]) ).
cnf(s4015,plain,
( ~ spl0_79
| ~ spl0_163
| ~ spl0_106 ),
inference(rat,[],[s2026,s3431,s3634,s1350,s325,s439,s1879,s1880,s3789]) ).
cnf(s4016,plain,
( ~ spl0_72
| spl0_84 ),
inference(rat,[],[s102,s2762,s1792,s3201,s2106,s601,s603,s356,s466,s3675,s3319,s437,s537,s1774,s3431,s4014,s884,s2107,s4015,s3639,s4013,s389,s27,s1169,s1171,s887,s455,s2727,s176,s1880,s34,s380,s19,s377,s4012,s3931,s3789]) ).
cnf(s4017,plain,
( ~ spl0_93
| ~ spl0_102
| spl0_84 ),
inference(rat,[],[s3980,s404,s377,s4012,s3931]) ).
cnf(s4018,plain,
( spl0_40
| spl0_93
| spl0_84 ),
inference(rat,[],[s3989,s1873,s94,s19,s377,s4012,s3931,s3200,s4016]) ).
cnf(s4019,plain,
( spl0_93
| spl0_84 ),
inference(rat,[],[s1792,s512,s104,s603,s3104,s466,s3997,s3319,s3190,s437,s537,s542,s4018,s3431,s2179,s2186,s1774,s3135,s2727,s176,s1880,s379,s3982,s3200,s4016,s19,s377,s4012,s3931,s3789]) ).
cnf(s4020,plain,
( ~ spl0_96
| spl0_40
| spl0_84 ),
inference(rat,[],[s2776,s263,s3986,s2214,s33,s506,s2216,s3431,s718,s1431,s2179,s176,s1880,s377,s34,s380,s4012,s3639,s4017,s4019,s925,s2481,s94,s3982,s3931,s2727,s3200,s4016,s3789]) ).
cnf(s4021,plain,
( ~ spl0_28
| ~ spl0_14
| ~ spl0_61
| spl0_84 ),
inference(rat,[],[s3985,s3986,s377,s4012,s3639,s4017,s4019,s925,s2727,s3073,s2528,s2481,s3982,s3931,s3200,s4016]) ).
cnf(s4022,plain,
( ~ spl0_29
| spl0_40
| spl0_84 ),
inference(rat,[],[s389,s1169,s3201,s2014,s2216,s3880,s176,s1880,s34,s380,s4012,s3639,s4017,s4019,s3073,s2528,s2481,s94,s3982,s3931,s3200,s4016,s4020,s3789]) ).
cnf(s4023,plain,
( spl0_40
| spl0_84 ),
inference(rat,[],[s3991,s983,s2607,s3120,s475,s2014,s4021,s1171,s510,s33,s4022,s4020,s3073,s925,s2528,s2481,s94,s2727,s176,s1880,s34,s380,s4012,s3982,s3200,s4016,s3931,s3639,s4017,s4019,s3789]) ).
cnf(s4024,plain,
( ~ spl0_96
| spl0_84 ),
inference(rat,[],[s3158,s2381,s2428,s1345,s1433,s65,s3865,s3108,s104,s1432,s1792,s718,s2014,s512,s925,s2214,s603,s586,s506,s3104,s3431,s3997,s2179,s2727,s176,s1880,s380,s19,s377,s4012,s180,s3982,s3200,s4016,s3639,s3190,s542,s3931,s466,s3319,s537,s356,s3675,s437,s4023,s4017,s4019,s3789]) ).
cnf(s4025,plain,
( ~ spl0_29
| spl0_84 ),
inference(rat,[],[s2610,s3078,s3364,s2303,s1433,s4001,s3865,s23,s102,s21,s2762,s1792,s866,s3202,s2106,s925,s389,s603,s586,s2773,s1169,s3431,s885,s2014,s2107,s3880,s2727,s176,s1880,s377,s34,s380,s4012,s180,s3982,s3200,s4016,s3639,s3190,s542,s3931,s466,s3319,s537,s356,s3675,s437,s4023,s4017,s4019,s4024,s3789]) ).
cnf(s4026,plain,
spl0_84,
inference(rat,[],[s978,s21,s1145,s569,s23,s545,s3431,s476,s475,s506,s1350,s592,s2214,s2607,s2014,s1171,s510,s33,s4025,s4024,s4023,s3639,s4017,s4019,s3200,s4016,s34,s380,s4012,s176,s1880,s3931,s2727,s3789]) ).
cnf(s4027,plain,
( ~ spl0_102
| ~ spl0_72 ),
inference(rat,[],[s153,s2988,s815,s4026]) ).
cnf(s4029,plain,
( spl0_25
| ~ spl0_133
| spl0_26
| spl0_93
| spl0_111
| spl0_102 ),
inference(rat,[],[s32,s19,s3120,s3442,s82,s3868,s3789]) ).
cnf(s4031,plain,
( ~ spl0_106
| ~ spl0_96
| spl0_111
| spl0_40
| ~ spl0_72 ),
inference(rat,[],[s2764,s254,s933,s1595,s3354,s33,s512,s263,s28,s510,s2775,s3120,s1559,s25,s82,s60,s3539,s3219,s65,s4015,s1880,s314,s1897,s3639,s150,s4027,s4026,s3789]) ).
cnf(s4032,plain,
( ~ spl0_96
| spl0_111
| spl0_40
| ~ spl0_72 ),
inference(rat,[],[s1638,s1766,s3431,s60,s817,s3539,s1931,s65,s19,s791,s790,s27,s34,s2225,s3444,s3197,s535,s631,s650,s3219,s1354,s4029,s1158,s3459,s291,s4031,s150,s1881,s4027,s4026,s3789]) ).
cnf(s4033,plain,
( ~ spl0_29
| spl0_79
| ~ spl0_133
| spl0_111
| ~ spl0_72 ),
inference(rat,[],[s3197,s2225,s631,s650,s3219,s4029,s2079,s884,s4027,s4026,s3789]) ).
cnf(s4034,plain,
( ~ spl0_25
| ~ spl0_74
| ~ spl0_31
| spl0_42
| spl0_106
| spl0_96
| spl0_111 ),
inference(rat,[],[s1638,s1766,s60,s65,s790,s3197,s2014,s631,s3276,s3219,s3789,s4026]) ).
cnf(s4035,plain,
( spl0_105
| ~ spl0_112
| ~ spl0_147
| spl0_224
| ~ spl0_74
| spl0_42
| spl0_106
| ~ spl0_61
| ~ spl0_72 ),
inference(rat,[],[s2527,s3077,s1345,s2054,s65,s1583,s60,s446,s1638,s3273]) ).
cnf(s4036,plain,
( ~ spl0_74
| spl0_79
| spl0_106
| spl0_111
| spl0_40
| ~ spl0_72 ),
inference(rat,[],[s818,s3445,s937,s23,s1878,s2777,s2076,s4035,s2231,s3499,s3104,s535,s2219,s808,s3798,s2079,s82,s4034,s4027,s94,s4032,s3539,s34,s19,s27,s3120,s28,s33,s4033,s291,s3459,s4026,s3789]) ).
cnf(s4037,plain,
( spl0_79
| spl0_106
| spl0_111
| spl0_40
| ~ spl0_72 ),
inference(rat,[],[s3219,s4029,s650,s2079,s535,s1849,s609,s605,s2027,s3431,s4036,s879,s2775,s31,s19,s27,s4033,s4027,s3180,s2725,s4032,s291,s3459,s3789]) ).
cnf(s4038,plain,
( spl0_93
| spl0_25
| ~ spl0_133
| spl0_111
| spl0_102 ),
inference(rat,[],[s4029,s2079]) ).
cnf(s4039,plain,
( spl0_106
| spl0_111
| spl0_40
| ~ spl0_72 ),
inference(rat,[],[s82,s3120,s3947,s28,s34,s33,s2216,s1679,s2231,s3104,s2219,s4038,s3499,s535,s3276,s854,s439,s4037,s3459,s291,s4027,s4032,s3789,s4026]) ).
cnf(s4040,plain,
( spl0_26
| spl0_111
| spl0_40
| ~ spl0_72 ),
inference(rat,[],[s254,s1595,s3354,s3319,s2106,s885,s933,s33,s28,s2775,s3120,s25,s82,s4015,s3639,s4027,s3647,s4032,s3219,s1880,s4039,s4026,s3789]) ).
cnf(s4041,plain,
( spl0_111
| spl0_40
| ~ spl0_72 ),
inference(rat,[],[s33,s34,s884,s320,s2079,s4040,s3647,s4015,s4039,s4032,s3639,s4027]) ).
cnf(s4042,plain,
( ~ spl0_29
| spl0_106
| spl0_42
| spl0_79
| ~ spl0_111
| spl0_40
| spl0_130 ),
inference(rat,[],[s783,s65,s739,s60,s594,s1766,s3190,s3431,s2226,s2107,s94,s4026]) ).
cnf(s4043,plain,
( ~ spl0_25
| spl0_29
| spl0_106
| spl0_42
| spl0_79
| spl0_96
| ~ spl0_111 ),
inference(rat,[],[s2760,s1638,s817,s1766,s535,s60,s2593,s65,s19,s715,s27,s2014,s3196,s3876,s3276,s1352,s3789,s4026]) ).
cnf(s4044,plain,
( spl0_26
| spl0_25
| spl0_29
| spl0_106
| spl0_40
| ~ spl0_72 ),
inference(rat,[],[s1595,s476,s254,s23,s3319,s3354,s21,s715,s2014,s978,s3513,s1171,s510,s33,s3585,s28,s623,s2775,s3120,s25,s82,s451,s1352,s887,s4041,s4026,s3789]) ).
cnf(s4045,plain,
( spl0_28
| ~ spl0_94
| ~ spl0_26
| spl0_29
| spl0_106
| spl0_79
| spl0_92
| ~ spl0_111
| spl0_102 ),
inference(rat,[],[s2076,s1878,s2550,s937,s3431,s2407,s818,s709,s3158,s3445,s2011,s2379,s1265,s23,s2871,s2877,s535,s3798,s808,s19,s34,s27,s33,s291,s2079]) ).
cnf(s4046,plain,
( spl0_106
| spl0_79
| spl0_40
| ~ spl0_72 ),
inference(rat,[],[s818,s937,s3445,s1374,s23,s476,s1595,s254,s3319,s535,s3354,s715,s705,s2014,s3513,s1171,s1165,s4045,s3549,s1849,s2079,s4044,s4043,s4042,s4027,s887,s358,s3104,s1352,s4041,s1919,s3539,s4026,s3789]) ).
cnf(s4047,plain,
( ~ spl0_286
| spl0_287
| spl0_98
| ~ spl0_99
| spl0_112
| ~ spl0_48 ),
inference(rat,[],[s3415,s1684,s2302,s2300]) ).
cnf(s4048,plain,
( spl0_79
| spl0_40
| ~ spl0_72 ),
inference(rat,[],[s3364,s2610,s2324,s3078,s4047,s2473,s3999,s3276,s25,s879,s2775,s2106,s1350,s1906,s2079,s3135,s577,s3431,s884,s2226,s3202,s1432,s2784,s33,s389,s3108,s2132,s19,s34,s983,s65,s377,s380,s3647,s455,s314,s4046,s180,s1919,s3639,s4027,s1352,s887,s4041,s4026]) ).
cnf(s4050,plain,
( ~ spl0_29
| spl0_40
| ~ spl0_72 ),
inference(rat,[],[s973,s2216,s4048,s4026]) ).
cnf(s4051,plain,
( spl0_40
| ~ spl0_72 ),
inference(rat,[],[s3947,s34,s4044,s33,s4050,s3513,s715,s3319,s254,s3276,s3354,s1595,s4015,s439,s1879,s4048,s887,s1352,s4041,s3639,s4027,s3789,s4026]) ).
cnf(s4052,plain,
( spl0_106
| spl0_111
| spl0_79
| ~ spl0_72 ),
inference(rat,[],[s27,s4033,s3459,s291,s19,s3886,s4051]) ).
cnf(s4053,plain,
( spl0_111
| spl0_79
| ~ spl0_72 ),
inference(rat,[],[s884,s3444,s27,s28,s510,s1354,s3120,s1559,s1825,s60,s3439,s65,s1880,s314,s4052,s1897,s535,s427,s19,s3886,s4051,s3539,s3789,s4026]) ).
cnf(s4054,plain,
( ~ spl0_29
| spl0_106
| spl0_79
| ~ spl0_72 ),
inference(rat,[],[s2134,s817,s34,s3431,s3896,s2107,s535,s427,s4051,s4053,s291,s4026]) ).
cnf(s4055,plain,
( spl0_106
| spl0_79
| ~ spl0_72 ),
inference(rat,[],[s818,s937,s3445,s1374,s23,s476,s1595,s254,s3294,s2014,s1171,s1165,s27,s4054,s4027,s3319,s537,s535,s427,s19,s3886,s4051,s887,s4053,s4026,s3789]) ).
cnf(s4056,plain,
( spl0_79
| ~ spl0_72 ),
inference(rat,[],[s594,s3431,s3190,s2784,s542,s455,s4055,s4053,s1919,s19,s3886,s356,s3675,s437,s4051,s4027,s3789,s4026]) ).
cnf(s4057,plain,
~ spl0_72,
inference(rat,[],[s254,s3354,s1595,s439,s1879,s4056,s3319,s537,s4051,s4026,s3789]) ).
cnf(s4058,plain,
spl0_71,
inference(rat,[],[s3200,s4057]) ).
cnf(s4060,plain,
( ~ spl0_76
| ~ spl0_102
| ~ spl0_61 ),
inference(rat,[],[s3638,s23,s792,s2539,s783,s2008,s815,s823,s4026]) ).
cnf(s4061,plain,
( spl0_76
| ~ spl0_29
| spl0_40
| spl0_106
| spl0_111
| spl0_79 ),
inference(rat,[],[s1679,s3444,s2231,s34,s3104,s2134,s3499,s2225,s2491,s535,s180,s1354,s1158,s2216,s4026,s4058]) ).
cnf(s4062,plain,
( ~ spl0_29
| spl0_40
| spl0_106
| spl0_111
| spl0_79 ),
inference(rat,[],[s60,s3376,s1766,s539,s1679,s2219,s4038,s3219,s65,s4060,s650,s783,s4061,s2216,s291,s94,s4026,s3789]) ).
cnf(s4063,plain,
( spl0_76
| ~ spl0_9
| spl0_106
| ~ spl0_95
| spl0_79 ),
inference(rat,[],[s2467,s609,s3796,s535,s4058]) ).
cnf(s4064,plain,
( spl0_40
| spl0_106
| spl0_111
| spl0_79 ),
inference(rat,[],[s4038,s3219,s539,s4060,s650,s4063,s19,s27,s4062,s94,s3180,s291,s3459,s3789]) ).
cnf(s4065,plain,
( spl0_106
| spl0_111
| spl0_79 ),
inference(rat,[],[s2162,s3444,s556,s34,s2134,s3431,s27,s2151,s19,s2491,s2469,s535,s3886,s427,s4064,s1354,s1158,s3459,s291,s180,s4058,s4026]) ).
cnf(s4066,plain,
( ~ spl0_102
| spl0_40
| ~ spl0_106 ),
inference(rat,[],[s21,s23,s3646,s1785,s990,s823,s815,s314,s4026]) ).
cnf(s4067,plain,
( spl0_26
| ~ spl0_29
| ~ spl0_163
| spl0_111
| spl0_79 ),
inference(rat,[],[s1350,s2106,s3949,s2775,s3120,s25,s82,s3180,s176,s3219,s1880,s4065,s4058,s3789]) ).
cnf(s4068,plain,
( ~ spl0_29
| spl0_40
| spl0_111
| spl0_79 ),
inference(rat,[],[s2384,s2214,s3120,s3999,s1277,s2473,s2456,s3079,s1107,s2162,s1588,s3431,s60,s594,s3376,s357,s539,s1684,s577,s2132,s535,s3887,s3202,s3201,s3499,s389,s2231,s983,s3104,s34,s3190,s2219,s320,s2080,s2079,s4067,s2216,s180,s65,s314,s3639,s4066,s4065,s4058,s4026]) ).
cnf(s4069,plain,
( spl0_93
| spl0_102
| spl0_25
| ~ spl0_88
| ~ spl0_95 ),
inference(rat,[],[s525,s1353,s1350,s3949,s3120,s82,s2079,s3135,s3639,s4058]) ).
cnf(s4070,plain,
( spl0_40
| spl0_111
| spl0_79 ),
inference(rat,[],[s33,s3513,s34,s2219,s320,s4069,s4068,s4066,s3180,s314,s176,s3219,s1880,s4065,s4026,s3789]) ).
cnf(s4071,plain,
( spl0_111
| spl0_79 ),
inference(rat,[],[s2776,s1825,s3949,s3439,s609,s535,s3886,s427,s4070,s176,s1880,s4065,s3180,s4058,s4026,s3789]) ).
cnf(s4072,plain,
( ~ spl0_29
| spl0_40
| spl0_106
| spl0_79 ),
inference(rat,[],[s60,s65,s3538,s783,s2469,s2151,s1766,s3431,s2226,s2107,s180,s4071,s291,s4026,s4058]) ).
cnf(s4073,plain,
( ~ spl0_102
| spl0_40
| spl0_106
| spl0_79 ),
inference(rat,[],[s3807,s2162,s1265,s556,s3904,s3798,s34,s23,s2109,s2076,s637,s3120,s1878,s644,s176,s3431,s2386,s2151,s3840,s609,s3795,s2491,s2469,s535,s3640,s3197,s4060,s823,s180,s1352,s4071,s291,s94,s4072,s4058,s4026]) ).
cnf(s4074,plain,
( spl0_76
| spl0_26
| spl0_106
| spl0_79 ),
inference(rat,[],[s82,s3120,s3276,s644,s2179,s176,s3431,s2386,s2151,s609,s3795,s2469,s535,s180,s4071,s291,s4058]) ).
cnf(s4075,plain,
( ~ spl0_76
| spl0_29
| ~ spl0_111 ),
inference(rat,[],[s27,s19,s3513,s2593,s783,s1352,s4026]) ).
cnf(s4076,plain,
( spl0_40
| spl0_106
| spl0_79 ),
inference(rat,[],[s2776,s644,s2384,s176,s2162,s3431,s2386,s2079,s2214,s2151,s609,s4074,s3795,s2469,s535,s4075,s3639,s4073,s4072,s180,s4071,s291,s4058]) ).
cnf(s4077,plain,
( spl0_106
| spl0_79 ),
inference(rat,[],[s556,s2162,s34,s3135,s2076,s2186,s1878,s2179,s176,s3431,s2386,s379,s2151,s609,s19,s4074,s3795,s2491,s2469,s535,s3886,s427,s4076,s291,s180,s4071,s4058,s4026]) ).
cnf(s4078,plain,
spl0_79,
inference(rat,[],[s594,s357,s3190,s577,s3431,s1612,s3202,s3201,s2107,s1432,s389,s27,s3108,s19,s34,s983,s3513,s65,s377,s380,s314,s4077,s1352,s4071,s4058,s4026]) ).
cnf(s4079,plain,
~ spl0_137,
inference(rat,[],[s1879,s3789,s4078]) ).
cnf(s4080,plain,
~ spl0_89,
inference(rat,[],[s439,s3789,s4078]) ).
cnf(s4081,plain,
~ spl0_106,
inference(rat,[],[s3982,s4058,s4078]) ).
cnf(s4082,plain,
spl0_136,
inference(rat,[],[s295,s4079]) ).
cnf(s4086,plain,
spl0_133,
inference(rat,[],[s291,s4081]) ).
cnf(s4089,plain,
( ~ spl0_102
| ~ spl0_29
| spl0_40
| spl0_111 ),
inference(rat,[],[s34,s3444,s3947,s1679,s3840,s2231,s3197,s3104,s3499,s2225,s535,s4060,s823,s1354,s1158,s94,s2216,s4078,s4081,s4026]) ).
cnf(s4090,plain,
( ~ spl0_29
| spl0_40
| spl0_111 ),
inference(rat,[],[s1679,s3190,s3444,s535,s2349,s34,s650,s718,s791,s176,s2467,s2486,s2386,s1350,s3639,s4089,s2216,s3180,s1354,s1158,s4058,s3789,s4086,s4080,s4079,s4081]) ).
cnf(s4091,plain,
( spl0_29
| spl0_28 ),
inference(rat,[],[s82,s3120,s3947,s3801,s3032,s28,s34,s19,s33,s27,s3789,s4081,s4058,s4078]) ).
cnf(s4092,plain,
spl0_111,
inference(rat,[],[s1679,s1432,s1766,s3108,s60,s65,s3444,s3963,s34,s251,s3947,s3294,s3840,s2211,s2482,s3442,s3376,s3197,s507,s19,s2225,s535,s3675,s3319,s402,s3886,s427,s437,s537,s4090,s4091,s1354,s1158,s3459,s4081,s4078,s4080,s4058,s4082,s4086,s4026,s3789]) ).
cnf(s4093,plain,
~ spl0_52,
inference(rat,[],[s1352,s4026,s4092]) ).
cnf(s4095,plain,
spl0_45,
inference(rat,[],[s3104,s4093]) ).
cnf(s4098,plain,
( ~ spl0_102
| ~ spl0_29
| spl0_40 ),
inference(rat,[],[s2610,s3887,s3078,s389,s2302,s983,s3415,s1777,s1683,s2489,s104,s3798,s708,s1792,s2109,s2846,s3120,s34,s644,s3947,s3439,s3840,s1608,s535,s3640,s3197,s3319,s4060,s823,s815,s94,s2226,s2216,s4092,s4093,s4078,s4095,s4081,s4026]) ).
cnf(s4099,plain,
( ~ spl0_29
| spl0_40 ),
inference(rat,[],[s708,s2384,s2109,s3120,s3640,s644,s631,s176,s3881,s2482,s3639,s4098,s94,s4078,s4093,s4092,s4026,s4086,s4058,s4082]) ).
cnf(s4100,plain,
spl0_29,
inference(rat,[],[s2760,s2151,s2179,s2221,s1171,s3348,s23,s1145,s1146,s2482,s507,s254,s3319,s473,s3963,s715,s3513,s510,s535,s4091,s4075,s4086,s4092,s4058,s4081,s4082,s4078,s3789,s4093]) ).
cnf(s4101,plain,
spl0_40,
inference(rat,[],[s4099,s4100]) ).
cnf(s4103,plain,
~ spl0_57,
inference(rat,[],[s537,s3789,s4101]) ).
cnf(s4104,plain,
~ spl0_38,
inference(rat,[],[s437,s3789,s4101]) ).
cnf(s4105,plain,
~ spl0_76,
inference(rat,[],[s427,s4026,s4101]) ).
cnf(s4106,plain,
~ spl0_9,
inference(rat,[],[s3886,s4101]) ).
cnf(s4107,plain,
~ spl0_130,
inference(rat,[],[s402,s4078,s4101]) ).
cnf(s4109,plain,
spl0_56,
inference(rat,[],[s3319,s4103]) ).
cnf(s4110,plain,
~ spl0_25,
inference(rat,[],[s3197,s4093,s4103]) ).
cnf(s4113,plain,
spl0_147,
inference(rat,[],[s535,s4105]) ).
cnf(s4115,plain,
spl0_20,
inference(rat,[],[s19,s4106]) ).
cnf(s4117,plain,
~ spl0_42,
inference(rat,[],[s3376,s4093,s4106]) ).
cnf(s4121,plain,
~ spl0_135,
inference(rat,[],[s507,s4107,s4109]) ).
cnf(s4125,plain,
~ spl0_98,
inference(rat,[],[s787,s4105,s4115]) ).
cnf(s4126,plain,
spl0_102,
inference(rat,[],[s2482,s4082,s4058,s4121]) ).
cnf(s4130,plain,
spl0_26,
inference(rat,[],[s3840,s4081,s4110,s4113,s4126]) ).
cnf(s4131,plain,
~ spl0_31,
inference(rat,[],[s3947,s4078,s4130]) ).
cnf(s4133,plain,
spl0_11,
inference(rat,[],[s34,s4131]) ).
cnf(s4135,plain,
~ spl0_21,
inference(rat,[],[s3585,s4081,s4092,s4131]) ).
cnf(s4139,plain,
~ spl0_7,
inference(rat,[],[s2846,s4126,s4081,s4113,s4133]) ).
cnf(s4144,plain,
~ spl0_22,
inference(rat,[],[s866,s4106,s4139]) ).
cnf(s4145,plain,
~ spl0_66,
inference(rat,[],[s1792,s4104,s4139]) ).
cnf(s4147,plain,
~ spl0_4,
inference(rat,[],[s21,s4135,s4144]) ).
cnf(s4149,plain,
spl0_67,
inference(rat,[],[s104,s4095,s4145]) ).
cnf(s4150,plain,
spl0_23,
inference(rat,[],[s23,s4147]) ).
cnf(s4153,plain,
spl0_93,
inference(rat,[],[s2476,s3906,s1433,s3077,s3807,s2610,s2872,s717,s3135,s4109,s4130,s4150,s4126,s4113,s4092,s4086,s4101,s4133,s4081,s4125]) ).
cnf(s4162,plain,
~ spl0_44,
inference(rat,[],[s1612,s1432,s1766,s3108,s60,s4092,s4131,s4081,s4093,s4115,s4117]) ).
cnf(s4163,plain,
spl0_50,
inference(rat,[],[s65,s4162]) ).
cnf(s4164,plain,
~ spl0_123,
inference(rat,[],[s3963,s4078,s4163]) ).
cnf(s4165,plain,
spl0_127,
inference(rat,[],[s1777,s4149,s4078,s4163]) ).
cnf(s4166,plain,
spl0_124,
inference(rat,[],[s254,s4109,s4164]) ).
cnf(s4167,plain,
~ spl0_74,
inference(rat,[],[s2162,s4153,s4165]) ).
cnf(s4168,plain,
~ spl0_105,
inference(rat,[],[s3294,s4101,s4080,s4166]) ).
cnf(s4169,plain,
spl0_73,
inference(rat,[],[s3431,s4167]) ).
cnf(s4177,plain,
spl0_90,
inference(rat,[],[s2221,s4113,s4058,s4168]) ).
cnf(s4178,plain,
$false,
inference(rat,[],[s2151,s4086,s4177,s4169]) ).
thf(f29392,plain,
$false,
inference(avatar_sat_refutation,[],[s4178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA165^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n008.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Sep 29 19:07:09 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running higher-order theorem proving
% 0.11/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.34 % (3593692)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.43/0.34 % (3593701)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1948877959:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.43/0.34 % (3593698)lrs+10_16_si=on:nwc=1.5:random_seed=3445742253:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.43/0.34 % (3593697)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1385942424:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.43/0.34 % (3593701)Instruction limit reached!
% 0.43/0.34 % (3593701)------------------------------
% 0.43/0.34 % (3593701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.34 % (3593701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.34 % (3593699)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1463011749:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.43/0.34 % (3593701)CaDiCaL version: 2.1.3
% 0.43/0.34 % (3593701)Termination reason: Instruction limit
% 0.43/0.34 % (3593701)Termination phase: Saturation
% 0.43/0.34 % (3593701)Time elapsed: 0.007 s
% 0.43/0.34 % (3593701)Peak memory usage: 12 MB
% 0.43/0.34 % (3593701)Instructions burned: 26 (million)
% 0.43/0.34 % (3593699)Instruction limit reached!
% 0.43/0.34 % (3593699)------------------------------
% 0.43/0.34 % (3593699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.34 % (3593699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.34 % (3593699)CaDiCaL version: 2.1.3
% 0.43/0.34 % (3593699)Termination reason: Instruction limit
% 0.43/0.34 % (3593699)Termination phase: Saturation
% 0.43/0.34 % (3593699)Time elapsed: 0.006 s
% 0.43/0.34 % (3593699)Peak memory usage: 12 MB
% 0.43/0.34 % (3593699)Instructions burned: 10 (million)
% 0.43/0.34 % (3593703)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.43/0.34 % (3593703)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.43/0.34 % (3593698)Instruction limit reached!
% 0.43/0.34 % (3593698)------------------------------
% 0.43/0.34 % (3593698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.34 % (3593698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.34 % (3593698)CaDiCaL version: 2.1.3
% 0.43/0.34 % (3593698)Termination reason: Instruction limit
% 0.43/0.34 % (3593698)Termination phase: Saturation
% 0.43/0.34 % (3593698)Time elapsed: 0.010 s
% 0.43/0.34 % (3593698)Peak memory usage: 12 MB
% 0.43/0.34 % (3593698)Instructions burned: 19 (million)
% 0.43/0.34 % (3593702)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3122587121:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.43/0.34 % (3593708)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=394564970:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.43/0.34 % (3593708)Instruction limit reached!
% 0.43/0.34 % (3593708)------------------------------
% 0.43/0.34 % (3593708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.34 % (3593708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.34 % (3593708)CaDiCaL version: 2.1.3
% 0.43/0.34 % (3593708)Termination reason: Instruction limit
% 0.43/0.34 % (3593708)Termination phase: Saturation
% 0.43/0.34 % (3593708)Time elapsed: 0.001 s
% 0.43/0.34 % (3593708)Peak memory usage: 12 MB
% 0.43/0.34 % (3593708)Instructions burned: 2 (million)
% 0.43/0.34 % (3593703)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=645775427:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.43/0.34 % (3593700)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=1337774332:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.43/0.34 % (3593712)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.43/0.36 % (3593712)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3066534508:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.43/0.36 % (3593709)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2979338283:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.43/0.36 % (3593712)Instruction limit reached!
% 0.43/0.36 % (3593712)------------------------------
% 0.43/0.36 % (3593712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.36 % (3593712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.36 % (3593712)CaDiCaL version: 2.1.3
% 0.43/0.36 % (3593712)Termination reason: Instruction limit
% 0.43/0.36 % (3593712)Termination phase: Saturation
% 0.43/0.36 % (3593712)Time elapsed: 0.002 s
% 0.43/0.36 % (3593712)Peak memory usage: 12 MB
% 0.43/0.36 % (3593712)Instructions burned: 7 (million)
% 0.43/0.36 % (3593709)Instruction limit reached!
% 0.43/0.36 % (3593709)------------------------------
% 0.43/0.36 % (3593709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.36 % (3593709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.36 % (3593709)CaDiCaL version: 2.1.3
% 0.43/0.36 % (3593709)Termination reason: Instruction limit
% 0.43/0.36 % (3593709)Termination phase: Saturation
% 0.43/0.36 % (3593709)Time elapsed: 0.004 s
% 0.43/0.36 % (3593709)Peak memory usage: 12 MB
% 0.43/0.36 % (3593709)Instructions burned: 6 (million)
% 0.43/0.36 % (3593713)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3455981580:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.43/0.36 % (3593718)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.43/0.36 % (3593718)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.43/0.36 % (3593697)Instruction limit reached!
% 0.43/0.36 % (3593697)------------------------------
% 0.43/0.36 % (3593697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.36 % (3593697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.36 % (3593697)CaDiCaL version: 2.1.3
% 0.43/0.36 % (3593697)Termination reason: Instruction limit
% 0.43/0.36 % (3593697)Termination phase: Saturation
% 0.43/0.36 % (3593697)Time elapsed: 0.039 s
% 0.43/0.36 % (3593718)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=439003302:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.43/0.36 % (3593697)Peak memory usage: 12 MB
% 0.43/0.36 % (3593697)Instructions burned: 89 (million)
% 0.43/0.36 % (3593713)Instruction limit reached!
% 0.43/0.36 % (3593713)------------------------------
% 0.43/0.36 % (3593713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.36 % (3593713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.36 % (3593713)CaDiCaL version: 2.1.3
% 0.43/0.36 % (3593713)Termination reason: Instruction limit
% 0.43/0.36 % (3593713)Termination phase: Saturation
% 0.43/0.36 % (3593713)Time elapsed: 0.008 s
% 0.43/0.36 % (3593713)Peak memory usage: 12 MB
% 0.43/0.36 % (3593713)Instructions burned: 14 (million)
% 0.43/0.36 % (3593718)Instruction limit reached!
% 0.43/0.36 % (3593718)------------------------------
% 0.43/0.36 % (3593718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.36 % (3593718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.36 % (3593718)CaDiCaL version: 2.1.3
% 0.43/0.36 % (3593718)Termination reason: Instruction limit
% 0.43/0.36 % (3593718)Termination phase: Saturation
% 0.43/0.36 % (3593718)Time elapsed: 0.007 s
% 0.43/0.36 % (3593718)Peak memory usage: 12 MB
% 0.43/0.36 % (3593718)Instructions burned: 29 (million)
% 0.43/0.36 % (3593719)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=474486891:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.43/0.36 % (3593724)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=839754785:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.09/0.39 % (3593722)lrs+10_1_si=on:cs=on:random_seed=870711064:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.09/0.39 % (3593724)Refutation not found, incomplete strategy
% 1.09/0.39 % (3593724)------------------------------
% 1.09/0.39 % (3593724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.39 % (3593724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.39 % (3593724)CaDiCaL version: 2.1.3
% 1.09/0.39 % (3593724)Termination reason: Refutation not found, incomplete strategy
% 1.09/0.39 % (3593724)Time elapsed: 0.0000 s
% 1.09/0.39 % (3593724)Peak memory usage: 11 MB
% 1.09/0.39 % (3593724)------------------------------
% 1.09/0.39 % (3593724)------------------------------
% 1.09/0.39 % (3593723)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.09/0.39 % (3593723)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=2424344226:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.09/0.39 % (3593722)Instruction limit reached!
% 1.09/0.39 % (3593722)------------------------------
% 1.09/0.39 % (3593722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.39 % (3593722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.39 % (3593722)CaDiCaL version: 2.1.3
% 1.09/0.39 % (3593722)Termination reason: Instruction limit
% 1.09/0.39 % (3593722)Termination phase: Saturation
% 1.09/0.39 % (3593722)Time elapsed: 0.005 s
% 1.09/0.39 % (3593722)Peak memory usage: 12 MB
% 1.09/0.39 % (3593722)Instructions burned: 9 (million)
% 1.09/0.39 % (3593702)Instruction limit reached!
% 1.09/0.39 % (3593702)------------------------------
% 1.09/0.39 % (3593702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.39 % (3593702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.39 % (3593702)CaDiCaL version: 2.1.3
% 1.09/0.39 % (3593702)Termination reason: Instruction limit
% 1.09/0.39 % (3593702)Termination phase: Saturation
% 1.09/0.39 % (3593702)Time elapsed: 0.054 s
% 1.09/0.39 % (3593702)Peak memory usage: 12 MB
% 1.09/0.39 % (3593702)Instructions burned: 75 (million)
% 1.09/0.39 % (3593723)Instruction limit reached!
% 1.09/0.39 % (3593723)------------------------------
% 1.09/0.39 % (3593723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.39 % (3593723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.39 % (3593723)CaDiCaL version: 2.1.3
% 1.09/0.39 % (3593723)Termination reason: Instruction limit
% 1.09/0.39 % (3593723)Termination phase: Saturation
% 1.09/0.39 % (3593723)Time elapsed: 0.002 s
% 1.09/0.39 % (3593723)Peak memory usage: 11 MB
% 1.09/0.39 % (3593723)Instructions burned: 3 (million)
% 1.09/0.39 % (3593728)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2721076157:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.09/0.39 % (3593728)Refutation not found, incomplete strategy
% 1.09/0.39 % (3593728)------------------------------
% 1.09/0.39 % (3593728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.39 % (3593728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.39 % (3593728)CaDiCaL version: 2.1.3
% 1.09/0.39 % (3593728)Termination reason: Refutation not found, incomplete strategy
% 1.09/0.39 % (3593728)Time elapsed: 0.0000 s
% 1.09/0.39 % (3593728)Peak memory usage: 11 MB
% 1.09/0.39 % (3593728)------------------------------
% 1.09/0.39 % (3593728)------------------------------
% 1.09/0.39 % (3593730)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=604133822:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.09/0.39 % (3593730)Refutation not found, incomplete strategy
% 1.09/0.39 % (3593730)------------------------------
% 1.09/0.39 % (3593730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.39 % (3593730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.39 % (3593730)CaDiCaL version: 2.1.3
% 1.09/0.39 % (3593730)Termination reason: Refutation not found, incomplete strategy
% 1.09/0.39 % (3593730)Time elapsed: 0.0000 s
% 1.09/0.39 % (3593730)Peak memory usage: 11 MB
% 1.09/0.39 % (3593731)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=205294801:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.09/0.43 % (3593734)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1616196186:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.09/0.43 % (3593730)------------------------------
% 1.09/0.43 % (3593730)------------------------------
% 1.09/0.43 % (3593732)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2131889662:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 1.09/0.43 % (3593732)Refutation not found, incomplete strategy
% 1.09/0.43 % (3593732)------------------------------
% 1.09/0.43 % (3593732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.43 % (3593732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.43 % (3593732)CaDiCaL version: 2.1.3
% 1.09/0.43 % (3593732)Termination reason: Refutation not found, incomplete strategy
% 1.09/0.43 % (3593732)Time elapsed: 0.001 s
% 1.09/0.43 % (3593732)Peak memory usage: 11 MB
% 1.09/0.43 % (3593732)------------------------------
% 1.09/0.43 % (3593732)------------------------------
% 1.09/0.43 % (3593734)Instruction limit reached!
% 1.09/0.43 % (3593734)------------------------------
% 1.09/0.43 % (3593734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.43 % (3593734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.43 % (3593734)CaDiCaL version: 2.1.3
% 1.09/0.43 % (3593734)Termination reason: Instruction limit
% 1.09/0.43 % (3593734)Termination phase: Saturation
% 1.09/0.43 % (3593734)Time elapsed: 0.004 s
% 1.09/0.43 % (3593734)Peak memory usage: 12 MB
% 1.09/0.43 % (3593734)Instructions burned: 16 (million)
% 1.09/0.43 % (3593731)Instruction limit reached!
% 1.09/0.43 % (3593731)------------------------------
% 1.09/0.43 % (3593731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.43 % (3593731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.43 % (3593731)CaDiCaL version: 2.1.3
% 1.09/0.43 % (3593731)Termination reason: Instruction limit
% 1.09/0.43 % (3593731)Termination phase: Saturation
% 1.09/0.43 % (3593731)Time elapsed: 0.009 s
% 1.09/0.43 % (3593731)Peak memory usage: 12 MB
% 1.09/0.43 % (3593731)Instructions burned: 14 (million)
% 1.09/0.43 % (3593741)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1122665160:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.09/0.43 % (3593719)Instruction limit reached!
% 1.09/0.43 % (3593719)------------------------------
% 1.09/0.43 % (3593719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.43 % (3593719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.43 % (3593719)CaDiCaL version: 2.1.3
% 1.09/0.43 % (3593719)Termination reason: Instruction limit
% 1.09/0.43 % (3593719)Termination phase: Saturation
% 1.09/0.43 % (3593719)Time elapsed: 0.050 s
% 1.09/0.43 % (3593719)Peak memory usage: 12 MB
% 1.09/0.43 % (3593719)Instructions burned: 87 (million)
% 1.09/0.43 % (3593738)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3546139351: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)
% 1.09/0.43 % (3593738)Refutation not found, incomplete strategy
% 1.09/0.43 % (3593738)------------------------------
% 1.09/0.43 % (3593738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.43 % (3593738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.43 % (3593738)CaDiCaL version: 2.1.3
% 1.09/0.43 % (3593738)Termination reason: Refutation not found, incomplete strategy
% 1.09/0.43 % (3593738)Time elapsed: 0.0000 s
% 1.09/0.43 % (3593738)Peak memory usage: 11 MB
% 1.09/0.43 % (3593738)------------------------------
% 1.09/0.43 % (3593738)------------------------------
% 1.09/0.43 % (3593741)Instruction limit reached!
% 1.09/0.43 % (3593741)------------------------------
% 1.09/0.43 % (3593741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.43 % (3593741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.43 % (3593741)CaDiCaL version: 2.1.3
% 1.09/0.43 % (3593741)Termination reason: Instruction limit
% 1.09/0.43 % (3593741)Termination phase: Saturation
% 1.09/0.43 % (3593741)Time elapsed: 0.005 s
% 1.09/0.43 % (3593741)Peak memory usage: 11 MB
% 1.09/0.43 % (3593741)Instructions burned: 23 (million)
% 1.09/0.47 % (3593740)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=84785857:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.09/0.47 % (3593742)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3779821580:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.09/0.47 % (3593745)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
% 1.09/0.47 % (3593745)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.09/0.47 % (3593746)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.09/0.47 % (3593740)Instruction limit reached!
% 1.09/0.47 % (3593740)------------------------------
% 1.09/0.47 % (3593740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.47 % (3593740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.47 % (3593740)CaDiCaL version: 2.1.3
% 1.09/0.47 % (3593740)Termination reason: Instruction limit
% 1.09/0.47 % (3593740)Termination phase: Saturation
% 1.09/0.47 % (3593740)Time elapsed: 0.014 s
% 1.09/0.47 % (3593740)Peak memory usage: 12 MB
% 1.09/0.47 % (3593740)Instructions burned: 26 (million)
% 1.09/0.47 % (3593746)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=3859775913:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.09/0.47 % (3593745)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=3165170921:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.09/0.47 % (3593747)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=3090138728:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.09/0.47 % (3593746)Instruction limit reached!
% 1.09/0.47 % (3593746)------------------------------
% 1.09/0.47 % (3593746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.47 % (3593746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.47 % (3593746)CaDiCaL version: 2.1.3
% 1.09/0.47 % (3593746)Termination reason: Instruction limit
% 1.09/0.47 % (3593746)Termination phase: Saturation
% 1.09/0.47 % (3593746)Time elapsed: 0.006 s
% 1.09/0.47 % (3593746)Peak memory usage: 12 MB
% 1.09/0.47 % (3593746)Instructions burned: 8 (million)
% 1.09/0.47 % (3593703)Instruction limit reached!
% 1.09/0.47 % (3593703)------------------------------
% 1.09/0.47 % (3593703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.47 % (3593703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.47 % (3593703)CaDiCaL version: 2.1.3
% 1.09/0.47 % (3593703)Termination reason: Instruction limit
% 1.09/0.47 % (3593703)Termination phase: Saturation
% 1.09/0.47 % (3593703)Time elapsed: 0.116 s
% 1.09/0.47 % (3593703)Peak memory usage: 12 MB
% 1.09/0.47 % (3593703)Instructions burned: 157 (million)
% 1.09/0.47 % (3593745)Instruction limit reached!
% 1.09/0.47 % (3593745)------------------------------
% 1.09/0.47 % (3593745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.47 % (3593745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.47 % (3593745)CaDiCaL version: 2.1.3
% 1.09/0.47 % (3593745)Termination reason: Instruction limit
% 1.09/0.47 % (3593745)Termination phase: Saturation
% 1.09/0.47 % (3593745)Time elapsed: 0.010 s
% 1.09/0.47 % (3593745)Peak memory usage: 12 MB
% 1.09/0.47 % (3593745)Instructions burned: 15 (million)
% 1.09/0.47 % (3593742)Instruction limit reached!
% 1.09/0.47 % (3593742)------------------------------
% 1.09/0.47 % (3593742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.47 % (3593742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.47 % (3593742)CaDiCaL version: 2.1.3
% 1.09/0.47 % (3593742)Termination reason: Instruction limit
% 1.09/0.47 % (3593742)Termination phase: Saturation
% 1.09/0.47 % (3593742)Time elapsed: 0.024 s
% 1.09/0.47 % (3593742)Peak memory usage: 12 MB
% 1.75/0.52 % (3593742)Instructions burned: 60 (million)
% 1.75/0.52 % (3593747)Instruction limit reached!
% 1.75/0.52 % (3593747)------------------------------
% 1.75/0.52 % (3593747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.52 % (3593747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.52 % (3593747)CaDiCaL version: 2.1.3
% 1.75/0.52 % (3593747)Termination reason: Instruction limit
% 1.75/0.52 % (3593747)Termination phase: Saturation
% 1.75/0.52 % (3593747)Time elapsed: 0.012 s
% 1.75/0.52 % (3593747)Peak memory usage: 12 MB
% 1.75/0.52 % (3593747)Instructions burned: 34 (million)
% 1.75/0.52 % (3593750)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=361656522:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.75/0.52 % (3593750)Instruction limit reached!
% 1.75/0.52 % (3593750)------------------------------
% 1.75/0.52 % (3593750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.52 % (3593750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.52 % (3593750)CaDiCaL version: 2.1.3
% 1.75/0.52 % (3593750)Termination reason: Instruction limit
% 1.75/0.52 % (3593750)Termination phase: Saturation
% 1.75/0.52 % (3593750)Time elapsed: 0.005 s
% 1.75/0.52 % (3593750)Peak memory usage: 12 MB
% 1.75/0.52 % (3593750)Instructions burned: 7 (million)
% 1.75/0.52 % (3593758)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2139750764:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.75/0.52 % (3593758)Refutation not found, incomplete strategy
% 1.75/0.52 % (3593758)------------------------------
% 1.75/0.52 % (3593758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.52 % (3593758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.52 % (3593758)CaDiCaL version: 2.1.3
% 1.75/0.52 % (3593758)Termination reason: Refutation not found, incomplete strategy
% 1.75/0.52 % (3593758)Time elapsed: 0.0000 s
% 1.75/0.52 % (3593758)Peak memory usage: 11 MB
% 1.75/0.52 % (3593758)------------------------------
% 1.75/0.52 % (3593758)------------------------------
% 1.75/0.52 % (3593756)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3284920306:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.75/0.52 % (3593757)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=362036271:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.75/0.52 % (3593762)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.75/0.52 % (3593762)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2896151088:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.75/0.52 % (3593762)Instruction limit reached!
% 1.75/0.52 % (3593762)------------------------------
% 1.75/0.52 % (3593762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.52 % (3593762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.52 % (3593762)CaDiCaL version: 2.1.3
% 1.75/0.52 % (3593762)Termination reason: Instruction limit
% 1.75/0.52 % (3593762)Termination phase: Saturation
% 1.75/0.52 % (3593762)Time elapsed: 0.002 s
% 1.75/0.52 % (3593762)Peak memory usage: 12 MB
% 1.75/0.52 % (3593762)Instructions burned: 8 (million)
% 1.75/0.52 % (3593760)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2486384808:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.75/0.52 % (3593754)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3308923640:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.75/0.52 % (3593755)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1743227694:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.75/0.52 % (3593766)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3799046317:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.75/0.52 % (3593766)Refutation not found, incomplete strategy
% 1.75/0.52 % (3593766)------------------------------
% 1.75/0.52 % (3593766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.52 % (3593766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.59 % (3593766)CaDiCaL version: 2.1.3
% 2.38/0.59 % (3593766)Termination reason: Refutation not found, incomplete strategy
% 2.38/0.59 % (3593766)Time elapsed: 0.0000 s
% 2.38/0.59 % (3593766)Peak memory usage: 11 MB
% 2.38/0.59 % (3593766)------------------------------
% 2.38/0.59 % (3593766)------------------------------
% 2.38/0.59 % (3593755)Instruction limit reached!
% 2.38/0.59 % (3593755)------------------------------
% 2.38/0.59 % (3593755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.59 % (3593755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.59 % (3593755)CaDiCaL version: 2.1.3
% 2.38/0.59 % (3593755)Termination reason: Instruction limit
% 2.38/0.59 % (3593755)Termination phase: Saturation
% 2.38/0.59 % (3593755)Time elapsed: 0.011 s
% 2.38/0.59 % (3593755)Peak memory usage: 12 MB
% 2.38/0.59 % (3593755)Instructions burned: 21 (million)
% 2.38/0.59 % (3593754)Instruction limit reached!
% 2.38/0.59 % (3593754)------------------------------
% 2.38/0.59 % (3593754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.59 % (3593754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.59 % (3593754)CaDiCaL version: 2.1.3
% 2.38/0.59 % (3593754)Termination reason: Instruction limit
% 2.38/0.59 % (3593754)Termination phase: Saturation
% 2.38/0.59 % (3593754)Time elapsed: 0.016 s
% 2.38/0.59 % (3593754)Peak memory usage: 11 MB
% 2.38/0.59 % (3593754)Instructions burned: 24 (million)
% 2.38/0.59 % (3593760)Instruction limit reached!
% 2.38/0.59 % (3593760)------------------------------
% 2.38/0.59 % (3593760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.59 % (3593760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.59 % (3593760)CaDiCaL version: 2.1.3
% 2.38/0.59 % (3593760)Termination reason: Instruction limit
% 2.38/0.59 % (3593760)Termination phase: Saturation
% 2.38/0.59 % (3593760)Time elapsed: 0.020 s
% 2.38/0.59 % (3593760)Peak memory usage: 12 MB
% 2.38/0.59 % (3593760)Instructions burned: 42 (million)
% 2.38/0.59 % (3593771)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=2238167882: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)
% 2.38/0.59 % (3593771)Refutation not found, incomplete strategy
% 2.38/0.59 % (3593771)------------------------------
% 2.38/0.59 % (3593771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.59 % (3593771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.59 % (3593771)CaDiCaL version: 2.1.3
% 2.38/0.59 % (3593771)Termination reason: Refutation not found, incomplete strategy
% 2.38/0.59 % (3593771)Time elapsed: 0.0000 s
% 2.38/0.59 % (3593771)Peak memory usage: 11 MB
% 2.38/0.59 % (3593771)------------------------------
% 2.38/0.59 % (3593771)------------------------------
% 2.38/0.59 % (3593776)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=1219771734:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.38/0.59 % (3593772)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.38/0.59 % (3593774)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3953310545:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.38/0.59 % (3593774)Refutation not found, incomplete strategy
% 2.38/0.59 % (3593774)------------------------------
% 2.38/0.59 % (3593774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.59 % (3593774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.59 % (3593774)CaDiCaL version: 2.1.3
% 2.38/0.59 % (3593774)Termination reason: Refutation not found, incomplete strategy
% 2.38/0.59 % (3593774)Time elapsed: 0.002 s
% 2.38/0.59 % (3593774)Peak memory usage: 12 MB
% 2.38/0.59 % (3593774)Instructions burned: 2 (million)
% 2.38/0.59 % (3593774)------------------------------
% 2.38/0.59 % (3593774)------------------------------
% 2.38/0.59 % (3593772)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=605117898:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.38/0.59 % (3593772)Refutation not found, incomplete strategy
% 2.38/0.64 % (3593772)------------------------------
% 2.38/0.64 % (3593772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.64 % (3593772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.64 % (3593772)CaDiCaL version: 2.1.3
% 2.38/0.64 % (3593772)Termination reason: Refutation not found, incomplete strategy
% 2.38/0.64 % (3593772)Time elapsed: 0.002 s
% 2.38/0.64 % (3593772)Peak memory usage: 11 MB
% 2.38/0.64 % (3593772)Instructions burned: 1 (million)
% 2.38/0.64 % (3593772)------------------------------
% 2.38/0.64 % (3593772)------------------------------
% 2.38/0.64 % (3593773)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2334472472:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.38/0.64 % (3593757)Instruction limit reached!
% 2.38/0.64 % (3593757)------------------------------
% 2.38/0.64 % (3593757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.64 % (3593757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.64 % (3593757)CaDiCaL version: 2.1.3
% 2.38/0.64 % (3593757)Termination reason: Instruction limit
% 2.38/0.64 % (3593757)Termination phase: Saturation
% 2.38/0.64 % (3593757)Time elapsed: 0.066 s
% 2.38/0.64 % (3593757)Peak memory usage: 12 MB
% 2.38/0.64 % (3593757)Instructions burned: 144 (million)
% 2.38/0.64 % (3593773)Instruction limit reached!
% 2.38/0.64 % (3593773)------------------------------
% 2.38/0.64 % (3593773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.64 % (3593773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.64 % (3593773)CaDiCaL version: 2.1.3
% 2.38/0.64 % (3593773)Termination reason: Instruction limit
% 2.38/0.64 % (3593773)Termination phase: Saturation
% 2.38/0.64 % (3593773)Time elapsed: 0.020 s
% 2.38/0.64 % (3593773)Peak memory usage: 12 MB
% 2.38/0.64 % (3593773)Instructions burned: 23 (million)
% 2.38/0.64 % (3593783)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=662520115:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.38/0.64 % (3593779)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=564174940:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.38/0.64 % (3593783)Refutation not found, incomplete strategy
% 2.38/0.64 % (3593783)------------------------------
% 2.38/0.64 % (3593783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.64 % (3593783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.64 % (3593783)CaDiCaL version: 2.1.3
% 2.38/0.64 % (3593783)Termination reason: Refutation not found, incomplete strategy
% 2.38/0.64 % (3593783)Time elapsed: 0.001 s
% 2.38/0.64 % (3593783)Peak memory usage: 11 MB
% 2.38/0.64 % (3593783)Instructions burned: 1 (million)
% 2.38/0.64 % (3593783)------------------------------
% 2.38/0.64 % (3593783)------------------------------
% 2.38/0.64 % (3593781)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=862979842:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.38/0.64 % (3593784)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1846292895:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.38/0.64 % (3593787)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.38/0.64 % (3593787)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3706848123:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.38/0.64 % (3593784)Instruction limit reached!
% 2.38/0.64 % (3593784)------------------------------
% 2.38/0.64 % (3593784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.64 % (3593784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.64 % (3593784)CaDiCaL version: 2.1.3
% 2.38/0.64 % (3593784)Termination reason: Instruction limit
% 2.38/0.64 % (3593784)Termination phase: Saturation
% 2.38/0.64 % (3593784)Time elapsed: 0.013 s
% 2.71/0.69 % (3593784)Peak memory usage: 12 MB
% 2.71/0.69 % (3593784)Instructions burned: 22 (million)
% 2.71/0.69 % (3593776)Instruction limit reached!
% 2.71/0.69 % (3593776)------------------------------
% 2.71/0.69 % (3593776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.69 % (3593776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.69 % (3593776)CaDiCaL version: 2.1.3
% 2.71/0.69 % (3593776)Termination reason: Instruction limit
% 2.71/0.69 % (3593776)Termination phase: Saturation
% 2.71/0.69 % (3593776)Time elapsed: 0.087 s
% 2.71/0.69 % (3593776)Peak memory usage: 13 MB
% 2.71/0.69 % (3593776)Instructions burned: 318 (million)
% 2.71/0.69 % (3593781)Instruction limit reached!
% 2.71/0.69 % (3593781)------------------------------
% 2.71/0.69 % (3593781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.69 % (3593781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.69 % (3593781)CaDiCaL version: 2.1.3
% 2.71/0.69 % (3593781)Termination reason: Instruction limit
% 2.71/0.69 % (3593781)Termination phase: Saturation
% 2.71/0.69 % (3593781)Time elapsed: 0.040 s
% 2.71/0.69 % (3593781)Peak memory usage: 12 MB
% 2.71/0.69 % (3593781)Instructions burned: 45 (million)
% 2.71/0.69 % (3593792)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=475809288:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.71/0.69 % (3593791)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3708458266:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.71/0.69 % (3593792)Instruction limit reached!
% 2.71/0.69 % (3593792)------------------------------
% 2.71/0.69 % (3593792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.69 % (3593792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.69 % (3593792)CaDiCaL version: 2.1.3
% 2.71/0.69 % (3593792)Termination reason: Instruction limit
% 2.71/0.69 % (3593792)Termination phase: Saturation
% 2.71/0.69 % (3593792)Time elapsed: 0.016 s
% 2.71/0.69 % (3593792)Peak memory usage: 12 MB
% 2.71/0.69 % (3593792)Instructions burned: 71 (million)
% 2.71/0.69 % (3593791)Instruction limit reached!
% 2.71/0.69 % (3593791)------------------------------
% 2.71/0.69 % (3593791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.69 % (3593791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.69 % (3593791)CaDiCaL version: 2.1.3
% 2.71/0.69 % (3593791)Termination reason: Instruction limit
% 2.71/0.69 % (3593791)Termination phase: Saturation
% 2.71/0.69 % (3593791)Time elapsed: 0.015 s
% 2.71/0.69 % (3593791)Peak memory usage: 11 MB
% 2.71/0.69 % (3593791)Instructions burned: 13 (million)
% 2.71/0.69 % (3593793)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2361641621:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.71/0.69 % (3593793)Refutation not found, incomplete strategy
% 2.71/0.69 % (3593793)------------------------------
% 2.71/0.69 % (3593793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.69 % (3593793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.69 % (3593793)CaDiCaL version: 2.1.3
% 2.71/0.69 % (3593793)Termination reason: Refutation not found, incomplete strategy
% 2.71/0.69 % (3593793)Time elapsed: 0.002 s
% 2.71/0.69 % (3593793)Peak memory usage: 12 MB
% 2.71/0.69 % (3593793)Instructions burned: 1 (million)
% 2.71/0.69 % (3593793)------------------------------
% 2.71/0.69 % (3593793)------------------------------
% 2.71/0.69 % (3593796)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1873250624:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.71/0.69 % (3593796)Instruction limit reached!
% 2.71/0.69 % (3593796)------------------------------
% 2.71/0.69 % (3593796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.69 % (3593796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.69 % (3593796)CaDiCaL version: 2.1.3
% 2.71/0.69 % (3593796)Termination reason: Instruction limit
% 2.71/0.69 % (3593796)Termination phase: Saturation
% 2.71/0.69 % (3593796)Time elapsed: 0.009 s
% 2.71/0.69 % (3593796)Peak memory usage: 12 MB
% 2.71/0.69 % (3593796)Instructions burned: 32 (million)
% 2.71/0.69 % (3593787)Instruction limit reached!
% 2.71/0.69 % (3593787)------------------------------
% 2.71/0.69 % (3593787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.74 % (3593787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.74 % (3593787)CaDiCaL version: 2.1.3
% 3.06/0.74 % (3593787)Termination reason: Instruction limit
% 3.06/0.74 % (3593787)Termination phase: Saturation
% 3.06/0.74 % (3593787)Time elapsed: 0.075 s
% 3.06/0.74 % (3593787)Peak memory usage: 12 MB
% 3.06/0.74 % (3593787)Instructions burned: 203 (million)
% 3.06/0.74 % (3593799)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=2565818944:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.06/0.74 % (3593801)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4096552422:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.06/0.74 % (3593801)Refutation not found, incomplete strategy
% 3.06/0.74 % (3593801)------------------------------
% 3.06/0.74 % (3593801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.74 % (3593801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.74 % (3593801)CaDiCaL version: 2.1.3
% 3.06/0.74 % (3593801)Termination reason: Refutation not found, incomplete strategy
% 3.06/0.74 % (3593801)Time elapsed: 0.0000 s
% 3.06/0.74 % (3593801)Peak memory usage: 11 MB
% 3.06/0.74 % (3593801)Instructions burned: 1 (million)
% 3.06/0.74 % (3593801)------------------------------
% 3.06/0.74 % (3593801)------------------------------
% 3.06/0.74 % (3593802)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.06/0.74 % (3593802)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3254202234:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.06/0.74 % (3593798)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2278346963:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.06/0.74 % (3593799)Instruction limit reached!
% 3.06/0.74 % (3593799)------------------------------
% 3.06/0.74 % (3593799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.74 % (3593799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.74 % (3593799)CaDiCaL version: 2.1.3
% 3.06/0.74 % (3593799)Termination reason: Instruction limit
% 3.06/0.74 % (3593799)Termination phase: Saturation
% 3.06/0.74 % (3593799)Time elapsed: 0.018 s
% 3.06/0.74 % (3593799)Peak memory usage: 12 MB
% 3.06/0.74 % (3593799)Instructions burned: 35 (million)
% 3.06/0.74 % (3593805)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=364087411:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 3.06/0.74 % (3593805)Refutation not found, incomplete strategy
% 3.06/0.74 % (3593805)------------------------------
% 3.06/0.74 % (3593805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.74 % (3593805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.74 % (3593805)CaDiCaL version: 2.1.3
% 3.06/0.74 % (3593805)Termination reason: Refutation not found, incomplete strategy
% 3.06/0.74 % (3593805)Time elapsed: 0.0000 s
% 3.06/0.74 % (3593805)Peak memory usage: 11 MB
% 3.06/0.74 % (3593805)------------------------------
% 3.06/0.74 % (3593805)------------------------------
% 3.06/0.74 % (3593810)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3051778946:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 3.06/0.74 % (3593810)Refutation not found, incomplete strategy
% 3.06/0.74 % (3593810)------------------------------
% 3.06/0.74 % (3593810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.74 % (3593810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.74 % (3593810)CaDiCaL version: 2.1.3
% 3.06/0.74 % (3593810)Termination reason: Refutation not found, incomplete strategy
% 3.06/0.74 % (3593810)Time elapsed: 0.0000 s
% 3.06/0.74 % (3593810)Peak memory usage: 11 MB
% 3.06/0.74 % (3593810)------------------------------
% 3.06/0.74 % (3593810)------------------------------
% 3.06/0.74 % (3593809)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1815770897:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 3.06/0.74 % (3593812)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4105197181:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.53/0.81 % (3593812)Refutation not found, incomplete strategy
% 3.53/0.81 % (3593812)------------------------------
% 3.53/0.81 % (3593812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.81 % (3593812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.81 % (3593812)CaDiCaL version: 2.1.3
% 3.53/0.81 % (3593812)Termination reason: Refutation not found, incomplete strategy
% 3.53/0.81 % (3593812)Time elapsed: 0.0000 s
% 3.53/0.81 % (3593812)Peak memory usage: 11 MB
% 3.53/0.81 % (3593812)------------------------------
% 3.53/0.81 % (3593812)------------------------------
% 3.53/0.81 % (3593815)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2602438474:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.53/0.81 % (3593815)Refutation not found, incomplete strategy
% 3.53/0.81 % (3593815)------------------------------
% 3.53/0.81 % (3593815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.81 % (3593815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.81 % (3593815)CaDiCaL version: 2.1.3
% 3.53/0.81 % (3593815)Termination reason: Refutation not found, incomplete strategy
% 3.53/0.81 % (3593815)Time elapsed: 0.0000 s
% 3.53/0.81 % (3593815)Peak memory usage: 12 MB
% 3.53/0.81 % (3593815)------------------------------
% 3.53/0.81 % (3593815)------------------------------
% 3.53/0.81 % (3593817)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=570492213:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.53/0.81 % (3593817)Refutation not found, incomplete strategy
% 3.53/0.81 % (3593817)------------------------------
% 3.53/0.81 % (3593817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.81 % (3593817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.81 % (3593817)CaDiCaL version: 2.1.3
% 3.53/0.81 % (3593817)Termination reason: Refutation not found, incomplete strategy
% 3.53/0.81 % (3593817)Time elapsed: 0.0000 s
% 3.53/0.81 % (3593817)Peak memory usage: 11 MB
% 3.53/0.81 % (3593817)Instructions burned: 1 (million)
% 3.53/0.81 % (3593817)------------------------------
% 3.53/0.81 % (3593817)------------------------------
% 3.53/0.81 % (3593819)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2216867271:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.53/0.81 % (3593700)Instruction limit reached!
% 3.53/0.81 % (3593700)------------------------------
% 3.53/0.81 % (3593700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.81 % (3593700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.81 % (3593700)CaDiCaL version: 2.1.3
% 3.53/0.81 % (3593700)Termination reason: Instruction limit
% 3.53/0.81 % (3593700)Termination phase: Saturation
% 3.53/0.81 % (3593700)Time elapsed: 0.408 s
% 3.53/0.81 % (3593700)Peak memory usage: 13 MB
% 3.53/0.81 % (3593700)Instructions burned: 635 (million)
% 3.53/0.81 % (3593809)Instruction limit reached!
% 3.53/0.81 % (3593809)------------------------------
% 3.53/0.81 % (3593809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.81 % (3593809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.81 % (3593809)CaDiCaL version: 2.1.3
% 3.53/0.81 % (3593809)Termination reason: Instruction limit
% 3.53/0.81 % (3593809)Termination phase: Saturation
% 3.53/0.81 % (3593809)Time elapsed: 0.046 s
% 3.53/0.81 % (3593809)Peak memory usage: 12 MB
% 3.53/0.81 % (3593809)Instructions burned: 97 (million)
% 3.53/0.81 % (3593819)Instruction limit reached!
% 3.53/0.81 % (3593819)------------------------------
% 3.53/0.81 % (3593819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.81 % (3593819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.81 % (3593819)CaDiCaL version: 2.1.3
% 3.53/0.81 % (3593819)Termination reason: Instruction limit
% 3.53/0.81 % (3593819)Termination phase: Saturation
% 3.53/0.81 % (3593819)Time elapsed: 0.012 s
% 3.53/0.81 % (3593819)Peak memory usage: 12 MB
% 3.53/0.81 % (3593819)Instructions burned: 46 (million)
% 3.53/0.81 % (3593824)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1089607305:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.53/0.81 % (3593802)Instruction limit reached!
% 3.53/0.81 % (3593802)------------------------------
% 3.53/0.89 % (3593802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.89 % (3593802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.89 % (3593802)CaDiCaL version: 2.1.3
% 3.53/0.89 % (3593802)Termination reason: Instruction limit
% 3.53/0.89 % (3593802)Termination phase: Saturation
% 3.53/0.89 % (3593802)Time elapsed: 0.083 s
% 3.53/0.89 % (3593802)Peak memory usage: 12 MB
% 3.53/0.89 % (3593802)Instructions burned: 180 (million)
% 3.53/0.89 % (3593823)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1868959999:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.53/0.89 % (3593822)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3566310203:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.53/0.89 % (3593822)Refutation not found, incomplete strategy
% 3.53/0.89 % (3593822)------------------------------
% 3.53/0.89 % (3593822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.89 % (3593822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.89 % (3593822)CaDiCaL version: 2.1.3
% 3.53/0.89 % (3593822)Termination reason: Refutation not found, incomplete strategy
% 3.53/0.89 % (3593822)Time elapsed: 0.002 s
% 3.53/0.89 % (3593822)Peak memory usage: 12 MB
% 3.53/0.89 % (3593822)Instructions burned: 1 (million)
% 3.53/0.89 % (3593822)------------------------------
% 3.53/0.89 % (3593822)------------------------------
% 3.53/0.89 % (3593826)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=1944577005:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.53/0.89 % (3593824)Instruction limit reached!
% 3.53/0.89 % (3593824)------------------------------
% 3.53/0.89 % (3593824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.89 % (3593824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.89 % (3593824)CaDiCaL version: 2.1.3
% 3.53/0.89 % (3593824)Termination reason: Instruction limit
% 3.53/0.89 % (3593824)Termination phase: Saturation
% 3.53/0.89 % (3593824)Time elapsed: 0.023 s
% 3.53/0.89 % (3593824)Peak memory usage: 12 MB
% 3.53/0.89 % (3593824)Instructions burned: 100 (million)
% 3.53/0.89 % (3593798)Instruction limit reached!
% 3.53/0.89 % (3593798)------------------------------
% 3.53/0.89 % (3593798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.89 % (3593798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.89 % (3593798)CaDiCaL version: 2.1.3
% 3.53/0.89 % (3593798)Termination reason: Instruction limit
% 3.53/0.89 % (3593798)Termination phase: Saturation
% 3.53/0.89 % (3593798)Time elapsed: 0.103 s
% 3.53/0.89 % (3593798)Peak memory usage: 12 MB
% 3.53/0.89 % (3593798)Instructions burned: 138 (million)
% 3.53/0.89 % (3593831)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=264816372:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.53/0.89 % (3593831)Refutation not found, incomplete strategy
% 3.53/0.89 % (3593831)------------------------------
% 3.53/0.89 % (3593831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.89 % (3593831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.89 % (3593831)CaDiCaL version: 2.1.3
% 3.53/0.89 % (3593831)Termination reason: Refutation not found, incomplete strategy
% 3.53/0.89 % (3593831)Time elapsed: 0.0000 s
% 3.53/0.89 % (3593831)Peak memory usage: 12 MB
% 3.53/0.89 % (3593831)------------------------------
% 3.53/0.89 % (3593831)------------------------------
% 3.53/0.89 % (3593826)Instruction limit reached!
% 3.53/0.89 % (3593826)------------------------------
% 3.53/0.89 % (3593826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.89 % (3593826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.89 % (3593826)CaDiCaL version: 2.1.3
% 3.53/0.89 % (3593826)Termination reason: Instruction limit
% 3.53/0.89 % (3593826)Termination phase: Saturation
% 3.53/0.89 % (3593826)Time elapsed: 0.031 s
% 3.53/0.89 % (3593826)Peak memory usage: 12 MB
% 3.53/0.89 % (3593826)Instructions burned: 66 (million)
% 3.53/0.89 % (3593834)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=218504622:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 4.01/0.98 % (3593832)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3720030083:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 4.01/0.98 % (3593832)Refutation not found, incomplete strategy
% 4.01/0.98 % (3593832)------------------------------
% 4.01/0.98 % (3593832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.98 % (3593832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/0.98 % (3593832)CaDiCaL version: 2.1.3
% 4.01/0.98 % (3593832)Termination reason: Refutation not found, incomplete strategy
% 4.01/0.98 % (3593832)Time elapsed: 0.001 s
% 4.01/0.98 % (3593832)Peak memory usage: 11 MB
% 4.01/0.98 % (3593832)------------------------------
% 4.01/0.98 % (3593832)------------------------------
% 4.01/0.98 % (3593835)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=1102543373:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 4.01/0.98 % (3593829)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=2034898968: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_2995 on theBenchmark for (2995ds/105Mi)
% 4.01/0.98 % (3593835)Instruction limit reached!
% 4.01/0.98 % (3593835)------------------------------
% 4.01/0.98 % (3593835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.98 % (3593835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/0.98 % (3593835)CaDiCaL version: 2.1.3
% 4.01/0.98 % (3593835)Termination reason: Instruction limit
% 4.01/0.98 % (3593835)Termination phase: Saturation
% 4.01/0.98 % (3593835)Time elapsed: 0.010 s
% 4.01/0.98 % (3593835)Peak memory usage: 12 MB
% 4.01/0.98 % (3593835)Instructions burned: 38 (million)
% 4.01/0.98 % (3593838)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1577557044:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/91Mi)
% 4.01/0.98 % (3593841)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3283578720:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2994 on theBenchmark for (2994ds/66Mi)
% 4.01/0.98 % (3593841)Refutation not found, incomplete strategy
% 4.01/0.98 % (3593841)------------------------------
% 4.01/0.98 % (3593841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.98 % (3593841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/0.98 % (3593841)CaDiCaL version: 2.1.3
% 4.01/0.98 % (3593841)Termination reason: Refutation not found, incomplete strategy
% 4.01/0.98 % (3593841)Time elapsed: 0.0000 s
% 4.01/0.98 % (3593841)Peak memory usage: 11 MB
% 4.01/0.98 % (3593841)------------------------------
% 4.01/0.98 % (3593841)------------------------------
% 4.01/0.98 % (3593844)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2810586180:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 4.01/0.98 % (3593844)Instruction limit reached!
% 4.01/0.98 % (3593844)------------------------------
% 4.01/0.98 % (3593844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.98 % (3593844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/0.98 % (3593844)CaDiCaL version: 2.1.3
% 4.01/0.98 % (3593844)Termination reason: Instruction limit
% 4.01/0.98 % (3593844)Termination phase: Saturation
% 4.01/0.98 % (3593844)Time elapsed: 0.006 s
% 4.01/0.98 % (3593844)Peak memory usage: 12 MB
% 4.01/0.98 % (3593844)Instructions burned: 24 (million)
% 4.01/0.98 % (3593846)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=2345863992:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 4.01/0.98 % (3593838)Instruction limit reached!
% 4.01/0.98 % (3593838)------------------------------
% 4.01/0.98 % (3593838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.98 % (3593838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.03 % (3593838)CaDiCaL version: 2.1.3
% 4.01/1.03 % (3593838)Termination reason: Instruction limit
% 4.01/1.03 % (3593838)Termination phase: Saturation
% 4.01/1.03 % (3593838)Time elapsed: 0.039 s
% 4.01/1.03 % (3593838)Peak memory usage: 12 MB
% 4.01/1.03 % (3593838)Instructions burned: 93 (million)
% 4.01/1.03 % (3593829)Instruction limit reached!
% 4.01/1.03 % (3593829)------------------------------
% 4.01/1.03 % (3593829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.03 % (3593829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.03 % (3593829)CaDiCaL version: 2.1.3
% 4.01/1.03 % (3593829)Termination reason: Instruction limit
% 4.01/1.03 % (3593829)Termination phase: Saturation
% 4.01/1.03 % (3593829)Time elapsed: 0.061 s
% 4.01/1.03 % (3593829)Peak memory usage: 12 MB
% 4.01/1.03 % (3593829)Instructions burned: 107 (million)
% 4.01/1.03 % (3593848)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2870117185:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 4.01/1.03 % (3593848)Refutation not found, incomplete strategy
% 4.01/1.03 % (3593848)------------------------------
% 4.01/1.03 % (3593848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.03 % (3593848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.03 % (3593848)CaDiCaL version: 2.1.3
% 4.01/1.03 % (3593848)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.03 % (3593848)Time elapsed: 0.001 s
% 4.01/1.03 % (3593848)Peak memory usage: 11 MB
% 4.01/1.03 % (3593848)------------------------------
% 4.01/1.03 % (3593848)------------------------------
% 4.01/1.03 % (3593849)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 4.01/1.03 % (3593849)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=273418109:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/137Mi)
% 4.01/1.03 % (3593851)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=610600911:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/340Mi)
% 4.01/1.03 % (3593756)Instruction limit reached!
% 4.01/1.03 % (3593756)------------------------------
% 4.01/1.03 % (3593756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.03 % (3593756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.03 % (3593756)CaDiCaL version: 2.1.3
% 4.01/1.03 % (3593756)Termination reason: Instruction limit
% 4.01/1.03 % (3593756)Termination phase: Saturation
% 4.01/1.03 % (3593756)Time elapsed: 0.458 s
% 4.01/1.03 % (3593756)Peak memory usage: 13 MB
% 4.01/1.03 % (3593756)Instructions burned: 1248 (million)
% 4.01/1.03 % (3593846)Instruction limit reached!
% 4.01/1.03 % (3593846)------------------------------
% 4.01/1.03 % (3593846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.03 % (3593846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.03 % (3593846)CaDiCaL version: 2.1.3
% 4.01/1.03 % (3593846)Termination reason: Instruction limit
% 4.01/1.03 % (3593846)Termination phase: Saturation
% 4.01/1.03 % (3593846)Time elapsed: 0.077 s
% 4.01/1.03 % (3593846)Peak memory usage: 14 MB
% 4.01/1.03 % (3593846)Instructions burned: 338 (million)
% 4.01/1.03 % (3593854)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1240934868:i=227:sd=1:bd=all:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/227Mi)
% 4.01/1.03 % (3593855)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 4.01/1.03 % (3593854)Refutation not found, incomplete strategy
% 4.01/1.03 % (3593854)------------------------------
% 4.01/1.03 % (3593854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/1.03 % (3593854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.03 % (3593854)CaDiCaL version: 2.1.3
% 4.01/1.03 % (3593854)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.03 % (3593854)Time elapsed: 0.001 s
% 4.01/1.03 % (3593854)Peak memory usage: 11 MB
% 4.01/1.03 % (3593854)------------------------------
% 4.01/1.03 % (3593854)------------------------------
% 4.01/1.03 % (3593855)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=378614214:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/373Mi)
% 5.55/1.09 % (3593849)Instruction limit reached!
% 5.55/1.09 % (3593849)------------------------------
% 5.55/1.09 % (3593849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.09 % (3593849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.09 % (3593849)CaDiCaL version: 2.1.3
% 5.55/1.09 % (3593849)Termination reason: Instruction limit
% 5.55/1.09 % (3593849)Termination phase: Saturation
% 5.55/1.09 % (3593849)Time elapsed: 0.064 s
% 5.55/1.09 % (3593849)Peak memory usage: 12 MB
% 5.55/1.09 % (3593849)Instructions burned: 140 (million)
% 5.55/1.09 % (3593858)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1969399375:i=116:ep=RSTC:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/116Mi)
% 5.55/1.09 % (3593859)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2533542816:i=575:rtra=on_2993 on theBenchmark for (2993ds/575Mi)
% 5.55/1.09 % (3593859)Refutation not found, incomplete strategy
% 5.55/1.09 % (3593859)------------------------------
% 5.55/1.09 % (3593859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.09 % (3593859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.09 % (3593859)CaDiCaL version: 2.1.3
% 5.55/1.09 % (3593859)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.09 % (3593859)Time elapsed: 0.001 s
% 5.55/1.09 % (3593859)Peak memory usage: 11 MB
% 5.55/1.09 % (3593859)Instructions burned: 1 (million)
% 5.55/1.09 % (3593859)------------------------------
% 5.55/1.09 % (3593859)------------------------------
% 5.55/1.09 % (3593862)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=445137342:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2992 on theBenchmark for (2992ds/270Mi)
% 5.55/1.09 % (3593823)Instruction limit reached!
% 5.55/1.09 % (3593823)------------------------------
% 5.55/1.09 % (3593823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.09 % (3593823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.09 % (3593823)CaDiCaL version: 2.1.3
% 5.55/1.09 % (3593823)Termination reason: Instruction limit
% 5.55/1.09 % (3593823)Termination phase: Saturation
% 5.55/1.09 % (3593823)Time elapsed: 0.267 s
% 5.55/1.09 % (3593823)Peak memory usage: 12 MB
% 5.55/1.09 % (3593823)Instructions burned: 451 (million)
% 5.55/1.09 % (3593779)Instruction limit reached!
% 5.55/1.09 % (3593779)------------------------------
% 5.55/1.09 % (3593779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.09 % (3593779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.09 % (3593779)CaDiCaL version: 2.1.3
% 5.55/1.09 % (3593779)Termination reason: Instruction limit
% 5.55/1.09 % (3593779)Termination phase: Saturation
% 5.55/1.09 % (3593779)Time elapsed: 0.475 s
% 5.55/1.09 % (3593779)Peak memory usage: 13 MB
% 5.55/1.09 % (3593779)Instructions burned: 854 (million)
% 5.55/1.09 % (3593858)Instruction limit reached!
% 5.55/1.09 % (3593858)------------------------------
% 5.55/1.09 % (3593858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.09 % (3593858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.09 % (3593858)CaDiCaL version: 2.1.3
% 5.55/1.09 % (3593858)Termination reason: Instruction limit
% 5.55/1.09 % (3593858)Termination phase: Saturation
% 5.55/1.09 % (3593858)Time elapsed: 0.048 s
% 5.55/1.09 % (3593858)Peak memory usage: 12 MB
% 5.55/1.09 % (3593858)Instructions burned: 118 (million)
% 5.55/1.09 % (3593834)Instruction limit reached!
% 5.55/1.09 % (3593834)------------------------------
% 5.55/1.09 % (3593834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.09 % (3593834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.09 % (3593834)CaDiCaL version: 2.1.3
% 5.55/1.09 % (3593834)Termination reason: Instruction limit
% 5.55/1.09 % (3593834)Termination phase: Saturation
% 5.55/1.09 % (3593834)Time elapsed: 0.229 s
% 5.55/1.09 % (3593834)Peak memory usage: 13 MB
% 5.55/1.09 % (3593834)Instructions burned: 495 (million)
% 5.55/1.09 % (3593855)Instruction limit reached!
% 5.55/1.09 % (3593855)------------------------------
% 5.55/1.09 % (3593855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.09 % (3593855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.13 % (3593855)CaDiCaL version: 2.1.3
% 5.55/1.13 % (3593855)Termination reason: Instruction limit
% 5.55/1.13 % (3593855)Termination phase: Saturation
% 5.55/1.13 % (3593855)Time elapsed: 0.090 s
% 5.55/1.13 % (3593855)Peak memory usage: 12 MB
% 5.55/1.13 % (3593855)Instructions burned: 373 (million)
% 5.55/1.13 % (3593868)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.55/1.13 % (3593868)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
% 5.55/1.13 % (3593866)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
% 5.55/1.13 % (3593867)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1973924436:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/31Mi)
% 5.55/1.13 % (3593868)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=1682660599:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2992 on theBenchmark for (2992ds/1440Mi)
% 5.55/1.13 % (3593866)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=2587702676:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/270Mi)
% 5.55/1.13 % (3593851)Instruction limit reached!
% 5.55/1.13 % (3593851)------------------------------
% 5.55/1.13 % (3593851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.13 % (3593851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.13 % (3593851)CaDiCaL version: 2.1.3
% 5.55/1.13 % (3593851)Termination reason: Instruction limit
% 5.55/1.13 % (3593851)Termination phase: Saturation
% 5.55/1.13 % (3593851)Time elapsed: 0.152 s
% 5.55/1.13 % (3593851)Peak memory usage: 13 MB
% 5.55/1.13 % (3593851)Instructions burned: 340 (million)
% 5.55/1.13 % (3593864)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=3701228718: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_2992 on theBenchmark for (2992ds/9840Mi)
% 5.55/1.13 % (3593865)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3590412785:i=421:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/421Mi)
% 5.55/1.13 % (3593865)Refutation not found, incomplete strategy
% 5.55/1.13 % (3593865)------------------------------
% 5.55/1.13 % (3593865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.13 % (3593865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.13 % (3593865)CaDiCaL version: 2.1.3
% 5.55/1.13 % (3593865)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.13 % (3593865)Time elapsed: 0.001 s
% 5.55/1.13 % (3593865)Peak memory usage: 11 MB
% 5.55/1.13 % (3593865)------------------------------
% 5.55/1.13 % (3593865)------------------------------
% 5.55/1.13 % (3593867)Instruction limit reached!
% 5.55/1.13 % (3593867)------------------------------
% 5.55/1.13 % (3593867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.13 % (3593867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.13 % (3593867)CaDiCaL version: 2.1.3
% 5.55/1.13 % (3593867)Termination reason: Instruction limit
% 5.55/1.13 % (3593867)Termination phase: Saturation
% 5.55/1.13 % (3593867)Time elapsed: 0.016 s
% 5.55/1.13 % (3593867)Peak memory usage: 12 MB
% 5.55/1.13 % (3593867)Instructions burned: 31 (million)
% 5.55/1.13 % (3593876)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=4215261596:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/122Mi)
% 5.55/1.13 % (3593876)Refutation not found, incomplete strategy
% 5.55/1.13 % (3593876)------------------------------
% 5.55/1.13 % (3593876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.13 % (3593876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.21 % (3593876)CaDiCaL version: 2.1.3
% 6.20/1.21 % (3593876)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.21 % (3593876)Time elapsed: 0.001 s
% 6.20/1.21 % (3593876)Peak memory usage: 11 MB
% 6.20/1.21 % (3593876)------------------------------
% 6.20/1.21 % (3593876)------------------------------
% 6.20/1.21 % (3593873)dis+10_2_sil=128000:si=on:random_seed=1118072078:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 6.20/1.21 % (3593873)Refutation not found, incomplete strategy
% 6.20/1.21 % (3593873)------------------------------
% 6.20/1.21 % (3593873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.20/1.21 % (3593873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.21 % (3593873)CaDiCaL version: 2.1.3
% 6.20/1.21 % (3593873)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.21 % (3593873)Time elapsed: 0.0000 s
% 6.20/1.21 % (3593873)Peak memory usage: 11 MB
% 6.20/1.21 % (3593873)------------------------------
% 6.20/1.21 % (3593873)------------------------------
% 6.20/1.21 % (3593875)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3884742384:i=111:add=on:fgj=on:rtra=on:fdi=1024_2992 on theBenchmark for (2992ds/111Mi)
% 6.20/1.21 % (3593880)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2339969213:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/232Mi)
% 6.20/1.21 % (3593880)Refutation not found, incomplete strategy
% 6.20/1.21 % (3593880)------------------------------
% 6.20/1.21 % (3593880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.20/1.21 % (3593880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.21 % (3593880)CaDiCaL version: 2.1.3
% 6.20/1.21 % (3593880)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.21 % (3593880)Time elapsed: 0.0000 s
% 6.20/1.21 % (3593880)Peak memory usage: 11 MB
% 6.20/1.21 % (3593880)------------------------------
% 6.20/1.21 % (3593880)------------------------------
% 6.20/1.21 % (3593878)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=1549044966:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/136Mi)
% 6.20/1.21 % (3593883)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=2348441593:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/1254Mi)
% 6.20/1.21 % (3593883)Refutation not found, incomplete strategy
% 6.20/1.21 % (3593883)------------------------------
% 6.20/1.21 % (3593883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.20/1.21 % (3593883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.21 % (3593883)CaDiCaL version: 2.1.3
% 6.20/1.21 % (3593883)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.21 % (3593883)Time elapsed: 0.002 s
% 6.20/1.21 % (3593883)Peak memory usage: 11 MB
% 6.20/1.21 % (3593883)Instructions burned: 2 (million)
% 6.20/1.21 % (3593878)Refutation not found, incomplete strategy
% 6.20/1.21 % (3593878)------------------------------
% 6.20/1.21 % (3593878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.20/1.21 % (3593878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.21 % (3593883)------------------------------
% 6.20/1.21 % (3593883)------------------------------
% 6.20/1.21 % (3593878)CaDiCaL version: 2.1.3
% 6.20/1.21 % (3593878)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.21 % (3593878)Time elapsed: 0.005 s
% 6.20/1.21 % (3593878)Peak memory usage: 11 MB
% 6.20/1.21 % (3593878)Instructions burned: 1 (million)
% 6.20/1.21 % (3593878)------------------------------
% 6.20/1.21 % (3593878)------------------------------
% 6.20/1.21 % (3593886)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.20/1.21 % (3593886)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=1701893897:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2991 on theBenchmark for (2991ds/281Mi)
% 6.20/1.21 % (3593866)Instruction limit reached!
% 6.20/1.21 % (3593866)------------------------------
% 6.20/1.21 % (3593866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.20/1.21 % (3593866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.31 % (3593866)CaDiCaL version: 2.1.3
% 6.96/1.31 % (3593866)Termination reason: Instruction limit
% 6.96/1.31 % (3593866)Termination phase: Saturation
% 6.96/1.31 % (3593866)Time elapsed: 0.098 s
% 6.96/1.31 % (3593866)Peak memory usage: 12 MB
% 6.96/1.31 % (3593866)Instructions burned: 271 (million)
% 6.96/1.31 % (3593887)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3739400842:i=619:add=on:rtra=on_2991 on theBenchmark for (2991ds/619Mi)
% 6.96/1.31 % (3593887)Refutation not found, incomplete strategy
% 6.96/1.31 % (3593887)------------------------------
% 6.96/1.31 % (3593887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.31 % (3593887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.31 % (3593887)CaDiCaL version: 2.1.3
% 6.96/1.31 % (3593887)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.31 % (3593887)Time elapsed: 0.002 s
% 6.96/1.31 % (3593887)Peak memory usage: 12 MB
% 6.96/1.31 % (3593887)Instructions burned: 2 (million)
% 6.96/1.31 % (3593887)------------------------------
% 6.96/1.31 % (3593887)------------------------------
% 6.96/1.31 % (3593875)Instruction limit reached!
% 6.96/1.31 % (3593875)------------------------------
% 6.96/1.31 % (3593875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.31 % (3593875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.31 % (3593875)CaDiCaL version: 2.1.3
% 6.96/1.31 % (3593875)Termination reason: Instruction limit
% 6.96/1.31 % (3593875)Termination phase: Saturation
% 6.96/1.31 % (3593875)Time elapsed: 0.066 s
% 6.96/1.31 % (3593875)Peak memory usage: 12 MB
% 6.96/1.31 % (3593875)Instructions burned: 113 (million)
% 6.96/1.31 % (3593889)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=46946988:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/865Mi)
% 6.96/1.31 % (3593862)Instruction limit reached!
% 6.96/1.31 % (3593862)------------------------------
% 6.96/1.31 % (3593862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.31 % (3593862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.31 % (3593862)CaDiCaL version: 2.1.3
% 6.96/1.31 % (3593862)Termination reason: Instruction limit
% 6.96/1.31 % (3593862)Termination phase: Saturation
% 6.96/1.31 % (3593862)Time elapsed: 0.167 s
% 6.96/1.31 % (3593862)Peak memory usage: 12 MB
% 6.96/1.31 % (3593862)Instructions burned: 271 (million)
% 6.96/1.31 % (3593891)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3322240036:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/212Mi)
% 6.96/1.31 % (3593891)Refutation not found, incomplete strategy
% 6.96/1.31 % (3593891)------------------------------
% 6.96/1.31 % (3593891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.31 % (3593891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.31 % (3593891)CaDiCaL version: 2.1.3
% 6.96/1.31 % (3593891)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.31 % (3593891)Time elapsed: 0.001 s
% 6.96/1.31 % (3593891)Peak memory usage: 11 MB
% 6.96/1.31 % (3593891)------------------------------
% 6.96/1.31 % (3593891)------------------------------
% 6.96/1.31 % (3593894)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3244953899:st=1.5:i=346:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/346Mi)
% 6.96/1.31 % (3593894)Refutation not found, incomplete strategy
% 6.96/1.31 % (3593894)------------------------------
% 6.96/1.31 % (3593894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.31 % (3593894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.31 % (3593894)CaDiCaL version: 2.1.3
% 6.96/1.31 % (3593894)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.31 % (3593894)Time elapsed: 0.0000 s
% 6.96/1.31 % (3593894)Peak memory usage: 11 MB
% 6.96/1.31 % (3593894)Instructions burned: 1 (million)
% 6.96/1.31 % (3593894)------------------------------
% 6.96/1.31 % (3593894)------------------------------
% 6.96/1.31 % (3593893)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3148125604:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 6.96/1.31 % (3593893)Refutation not found, incomplete strategy
% 6.96/1.31 % (3593893)------------------------------
% 7.72/1.56 % (3593893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.56 % (3593893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.56 % (3593893)CaDiCaL version: 2.1.3
% 7.72/1.56 % (3593893)Termination reason: Refutation not found, incomplete strategy
% 7.72/1.56 % (3593893)Time elapsed: 0.0000 s
% 7.72/1.56 % (3593893)Peak memory usage: 11 MB
% 7.72/1.56 % (3593893)------------------------------
% 7.72/1.56 % (3593893)------------------------------
% 7.72/1.56 % (3593896)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=631429911:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/152Mi)
% 7.72/1.56 % (3593900)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=710689723:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/387Mi)
% 7.72/1.56 % (3593900)Refutation not found, incomplete strategy
% 7.72/1.56 % (3593900)------------------------------
% 7.72/1.56 % (3593900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.56 % (3593900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.56 % (3593900)CaDiCaL version: 2.1.3
% 7.72/1.56 % (3593900)Termination reason: Refutation not found, incomplete strategy
% 7.72/1.56 % (3593900)Time elapsed: 0.0000 s
% 7.72/1.56 % (3593900)Peak memory usage: 11 MB
% 7.72/1.56 % (3593900)Instructions burned: 1 (million)
% 7.72/1.56 % (3593900)------------------------------
% 7.72/1.56 % (3593900)------------------------------
% 7.72/1.56 % (3593898)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3950085200:i=75:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/75Mi)
% 7.72/1.56 % (3593903)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=2747270966:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2990 on theBenchmark for (2990ds/148Mi)
% 7.72/1.56 % (3593898)Instruction limit reached!
% 7.72/1.56 % (3593898)------------------------------
% 7.72/1.56 % (3593898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.56 % (3593898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.56 % (3593898)CaDiCaL version: 2.1.3
% 7.72/1.56 % (3593898)Termination reason: Instruction limit
% 7.72/1.56 % (3593898)Termination phase: Saturation
% 7.72/1.56 % (3593898)Time elapsed: 0.035 s
% 7.72/1.56 % (3593898)Peak memory usage: 12 MB
% 7.72/1.56 % (3593898)Instructions burned: 76 (million)
% 7.72/1.56 % (3593903)Instruction limit reached!
% 7.72/1.56 % (3593903)------------------------------
% 7.72/1.56 % (3593903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.56 % (3593903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.56 % (3593903)CaDiCaL version: 2.1.3
% 7.72/1.56 % (3593903)Termination reason: Instruction limit
% 7.72/1.56 % (3593903)Termination phase: Saturation
% 7.72/1.56 % (3593903)Time elapsed: 0.036 s
% 7.72/1.56 % (3593903)Peak memory usage: 12 MB
% 7.72/1.56 % (3593903)Instructions burned: 151 (million)
% 7.72/1.56 % (3593907)lrs+10_1_sil=128000:si=on:random_seed=1938674939:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/888Mi)
% 7.72/1.56 % (3593907)Refutation not found, incomplete strategy
% 7.72/1.56 % (3593907)------------------------------
% 7.72/1.56 % (3593907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.56 % (3593907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.56 % (3593907)CaDiCaL version: 2.1.3
% 7.72/1.56 % (3593907)Termination reason: Refutation not found, incomplete strategy
% 7.72/1.56 % (3593907)Time elapsed: 0.0000 s
% 7.72/1.56 % (3593907)Peak memory usage: 11 MB
% 7.72/1.56 % (3593907)------------------------------
% 7.72/1.56 % (3593907)------------------------------
% 7.72/1.56 % (3593906)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3150758146:i=161:piset=and:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/161Mi)
% 7.72/1.56 % (3593896)Instruction limit reached!
% 7.72/1.56 % (3593896)------------------------------
% 7.72/1.56 % (3593896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.56 % (3593896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.56 % (3593896)CaDiCaL version: 2.1.3
% 7.72/1.56 % (3593896)Termination reason: Instruction limit
% 9.04/1.76 % (3593896)Termination phase: Saturation
% 9.04/1.76 % (3593896)Time elapsed: 0.075 s
% 9.04/1.76 % (3593896)Peak memory usage: 12 MB
% 9.04/1.76 % (3593896)Instructions burned: 153 (million)
% 9.04/1.76 % (3593909)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=1018497228:i=136:add=on:ins=4:rtra=on:sup=off_2990 on theBenchmark for (2990ds/136Mi)
% 9.04/1.76 % (3593911)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=2078231652:i=88:s2at=3:nm=2:rtra=on:rawr=on_2990 on theBenchmark for (2990ds/88Mi)
% 9.04/1.76 % (3593911)Instruction limit reached!
% 9.04/1.76 % (3593911)------------------------------
% 9.04/1.76 % (3593911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.76 % (3593911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.76 % (3593911)CaDiCaL version: 2.1.3
% 9.04/1.76 % (3593911)Termination reason: Instruction limit
% 9.04/1.76 % (3593911)Termination phase: Saturation
% 9.04/1.76 % (3593911)Time elapsed: 0.019 s
% 9.04/1.76 % (3593911)Peak memory usage: 13 MB
% 9.04/1.76 % (3593911)Instructions burned: 92 (million)
% 9.04/1.76 % (3593914)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=4134231592:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2989 on theBenchmark for (2989ds/93Mi)
% 9.04/1.76 % (3593906)Instruction limit reached!
% 9.04/1.76 % (3593906)------------------------------
% 9.04/1.76 % (3593906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.76 % (3593906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.76 % (3593906)CaDiCaL version: 2.1.3
% 9.04/1.76 % (3593906)Termination reason: Instruction limit
% 9.04/1.76 % (3593906)Termination phase: Saturation
% 9.04/1.76 % (3593906)Time elapsed: 0.058 s
% 9.04/1.76 % (3593906)Peak memory usage: 12 MB
% 9.04/1.76 % (3593906)Instructions burned: 161 (million)
% 9.04/1.76 % (3593914)Instruction limit reached!
% 9.04/1.76 % (3593914)------------------------------
% 9.04/1.76 % (3593914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.76 % (3593914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.76 % (3593914)CaDiCaL version: 2.1.3
% 9.04/1.76 % (3593914)Termination reason: Instruction limit
% 9.04/1.76 % (3593914)Termination phase: Saturation
% 9.04/1.76 % (3593914)Time elapsed: 0.025 s
% 9.04/1.76 % (3593914)Peak memory usage: 12 MB
% 9.04/1.76 % (3593914)Instructions burned: 94 (million)
% 9.04/1.76 % (3593916)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=397948500:i=2186:rtra=on:ixr=off_2989 on theBenchmark for (2989ds/2186Mi)
% 9.04/1.76 % (3593909)Instruction limit reached!
% 9.04/1.76 % (3593909)------------------------------
% 9.04/1.76 % (3593909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.76 % (3593909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.76 % (3593909)CaDiCaL version: 2.1.3
% 9.04/1.76 % (3593909)Termination reason: Instruction limit
% 9.04/1.76 % (3593909)Termination phase: Saturation
% 9.04/1.76 % (3593909)Time elapsed: 0.064 s
% 9.04/1.76 % (3593909)Peak memory usage: 12 MB
% 9.04/1.76 % (3593909)Instructions burned: 137 (million)
% 9.04/1.76 % (3593886)Instruction limit reached!
% 9.04/1.76 % (3593886)------------------------------
% 9.04/1.76 % (3593886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/1.76 % (3593886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/1.76 % (3593886)CaDiCaL version: 2.1.3
% 9.04/1.76 % (3593886)Termination reason: Instruction limit
% 9.04/1.76 % (3593886)Termination phase: Saturation
% 9.04/1.76 % (3593886)Time elapsed: 0.196 s
% 9.04/1.76 % (3593886)Peak memory usage: 13 MB
% 9.04/1.76 % (3593886)Instructions burned: 281 (million)
% 9.04/1.76 % (3593917)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3012223414:s2a=on:i=240:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/240Mi)
% 9.04/1.76 % (3593921)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 9.04/1.76 % (3593919)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2605554155:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/805Mi)
% 9.69/1.88 % (3593921)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=1410173179:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2989 on theBenchmark for (2989ds/391Mi)
% 9.69/1.88 % (3593921)Refutation not found, incomplete strategy
% 9.69/1.88 % (3593921)------------------------------
% 9.69/1.88 % (3593921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.69/1.88 % (3593921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/1.88 % (3593921)CaDiCaL version: 2.1.3
% 9.69/1.88 % (3593921)Termination reason: Refutation not found, incomplete strategy
% 9.69/1.88 % (3593921)Time elapsed: 0.001 s
% 9.69/1.88 % (3593921)Peak memory usage: 11 MB
% 9.69/1.88 % (3593921)Instructions burned: 1 (million)
% 9.69/1.88 % (3593921)------------------------------
% 9.69/1.88 % (3593921)------------------------------
% 9.69/1.88 % (3593924)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1784707148:i=355:av=off:fsr=off:rtra=on:ixr=off_2989 on theBenchmark for (2989ds/355Mi)
% 9.69/1.88 % (3593917)Instruction limit reached!
% 9.69/1.88 % (3593917)------------------------------
% 9.69/1.88 % (3593917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.69/1.88 % (3593917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/1.88 % (3593917)CaDiCaL version: 2.1.3
% 9.69/1.88 % (3593917)Termination reason: Instruction limit
% 9.69/1.88 % (3593917)Termination phase: Saturation
% 9.69/1.88 % (3593917)Time elapsed: 0.050 s
% 9.69/1.88 % (3593917)Peak memory usage: 12 MB
% 9.69/1.88 % (3593917)Instructions burned: 244 (million)
% 9.69/1.88 % (3593926)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3455035728:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/314Mi)
% 9.69/1.88 % (3593926)Refutation not found, incomplete strategy
% 9.69/1.88 % (3593926)------------------------------
% 9.69/1.88 % (3593926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.69/1.88 % (3593926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/1.88 % (3593926)CaDiCaL version: 2.1.3
% 9.69/1.88 % (3593926)Termination reason: Refutation not found, incomplete strategy
% 9.69/1.88 % (3593926)Time elapsed: 0.0000 s
% 9.69/1.88 % (3593926)Peak memory usage: 11 MB
% 9.69/1.88 % (3593926)------------------------------
% 9.69/1.88 % (3593926)------------------------------
% 9.69/1.88 % (3593928)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1240419271:s2a=on:i=251:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/251Mi)
% 9.69/1.88 % (3593928)Instruction limit reached!
% 9.69/1.88 % (3593928)------------------------------
% 9.69/1.88 % (3593928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.69/1.88 % (3593928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/1.88 % (3593928)CaDiCaL version: 2.1.3
% 9.69/1.88 % (3593928)Termination reason: Instruction limit
% 9.69/1.88 % (3593928)Termination phase: Saturation
% 9.69/1.88 % (3593928)Time elapsed: 0.061 s
% 9.69/1.88 % (3593928)Peak memory usage: 12 MB
% 9.69/1.88 % (3593928)Instructions burned: 254 (million)
% 9.69/1.88 % (3593930)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=3077417626: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_2988 on theBenchmark for (2988ds/2470Mi)
% 9.69/1.88 % (3593924)Instruction limit reached!
% 9.69/1.88 % (3593924)------------------------------
% 9.69/1.88 % (3593924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.69/1.88 % (3593924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/1.88 % (3593924)CaDiCaL version: 2.1.3
% 9.69/1.88 % (3593924)Termination reason: Instruction limit
% 9.69/1.88 % (3593924)Termination phase: Saturation
% 9.69/1.88 % (3593924)Time elapsed: 0.158 s
% 9.69/1.88 % (3593924)Peak memory usage: 12 MB
% 9.69/1.88 % (3593924)Instructions burned: 356 (million)
% 9.69/1.88 % (3593932)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1239715844:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2987 on theBenchmark for (2987ds/673Mi)
% 9.69/1.88 % (3593889)Instruction limit reached!
% 9.69/1.88 % (3593889)------------------------------
% 10.28/2.03 % (3593889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.28/2.03 % (3593889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.03 % (3593889)CaDiCaL version: 2.1.3
% 10.28/2.03 % (3593889)Termination reason: Instruction limit
% 10.28/2.03 % (3593889)Termination phase: Saturation
% 10.28/2.03 % (3593889)Time elapsed: 0.442 s
% 10.28/2.03 % (3593889)Peak memory usage: 15 MB
% 10.28/2.03 % (3593889)Instructions burned: 866 (million)
% 10.28/2.03 % (3593934)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3640305117:i=116:ep=RSTC:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/116Mi)
% 10.28/2.03 % (3593934)Instruction limit reached!
% 10.28/2.03 % (3593934)------------------------------
% 10.28/2.03 % (3593934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.28/2.03 % (3593934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.03 % (3593934)CaDiCaL version: 2.1.3
% 10.28/2.03 % (3593934)Termination reason: Instruction limit
% 10.28/2.03 % (3593934)Termination phase: Saturation
% 10.28/2.03 % (3593934)Time elapsed: 0.047 s
% 10.28/2.03 % (3593934)Peak memory usage: 12 MB
% 10.28/2.03 % (3593934)Instructions burned: 117 (million)
% 10.28/2.03 % (3593919)Instruction limit reached!
% 10.28/2.03 % (3593919)------------------------------
% 10.28/2.03 % (3593919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.28/2.03 % (3593919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.03 % (3593919)CaDiCaL version: 2.1.3
% 10.28/2.03 % (3593919)Termination reason: Instruction limit
% 10.28/2.03 % (3593919)Termination phase: Saturation
% 10.28/2.03 % (3593919)Time elapsed: 0.326 s
% 10.28/2.03 % (3593919)Peak memory usage: 13 MB
% 10.28/2.03 % (3593919)Instructions burned: 806 (million)
% 10.28/2.03 % (3593936)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2398428477:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2986 on theBenchmark for (2986ds/270Mi)
% 10.28/2.03 % (3593937)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=2544339591: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_2985 on theBenchmark for (2985ds/30Mi)
% 10.28/2.03 % (3593937)Instruction limit reached!
% 10.28/2.03 % (3593937)------------------------------
% 10.28/2.03 % (3593937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.28/2.03 % (3593937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.03 % (3593937)CaDiCaL version: 2.1.3
% 10.28/2.03 % (3593937)Termination reason: Instruction limit
% 10.28/2.03 % (3593937)Termination phase: Saturation
% 10.28/2.03 % (3593937)Time elapsed: 0.014 s
% 10.28/2.03 % (3593937)Peak memory usage: 12 MB
% 10.28/2.03 % (3593937)Instructions burned: 31 (million)
% 10.28/2.03 % (3593940)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 10.28/2.03 % (3593940)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3891473762:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2985 on theBenchmark for (2985ds/39Mi)
% 10.28/2.03 % (3593940)Instruction limit reached!
% 10.28/2.03 % (3593940)------------------------------
% 10.28/2.03 % (3593940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.28/2.03 % (3593940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.03 % (3593940)CaDiCaL version: 2.1.3
% 10.28/2.03 % (3593940)Termination reason: Instruction limit
% 10.28/2.03 % (3593940)Termination phase: Saturation
% 10.28/2.03 % (3593940)Time elapsed: 0.020 s
% 10.28/2.03 % (3593940)Peak memory usage: 12 MB
% 10.28/2.03 % (3593940)Instructions burned: 39 (million)
% 10.28/2.03 % (3593942)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=115324391:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/365Mi)
% 10.28/2.03 % (3593936)Instruction limit reached!
% 10.28/2.03 % (3593936)------------------------------
% 10.28/2.03 % (3593936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.28/2.03 % (3593936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.03 % (3593936)CaDiCaL version: 2.1.3
% 10.28/2.03 % (3593936)Termination reason: Instruction limit
% 13.01/2.16 % (3593936)Termination phase: Saturation
% 13.01/2.16 % (3593936)Time elapsed: 0.114 s
% 13.01/2.16 % (3593936)Peak memory usage: 12 MB
% 13.01/2.16 % (3593936)Instructions burned: 270 (million)
% 13.01/2.16 % (3593932)Instruction limit reached!
% 13.01/2.16 % (3593932)------------------------------
% 13.01/2.16 % (3593932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.01/2.16 % (3593932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/2.16 % (3593932)CaDiCaL version: 2.1.3
% 13.01/2.16 % (3593932)Termination reason: Instruction limit
% 13.01/2.16 % (3593932)Termination phase: Saturation
% 13.01/2.16 % (3593932)Time elapsed: 0.250 s
% 13.01/2.16 % (3593932)Peak memory usage: 13 MB
% 13.01/2.16 % (3593932)Instructions burned: 673 (million)
% 13.01/2.16 % (3593945)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
% 13.01/2.16 % (3593944)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1288524261:i=158:av=off:rtra=on_2984 on theBenchmark for (2984ds/158Mi)
% 13.01/2.16 % (3593945)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=2293765244:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/252Mi)
% 13.01/2.16 % (3593868)Instruction limit reached!
% 13.01/2.16 % (3593868)------------------------------
% 13.01/2.16 % (3593868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.01/2.16 % (3593868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/2.16 % (3593868)CaDiCaL version: 2.1.3
% 13.01/2.16 % (3593868)Termination reason: Instruction limit
% 13.01/2.16 % (3593868)Termination phase: Saturation
% 13.01/2.16 % (3593868)Time elapsed: 0.827 s
% 13.01/2.16 % (3593868)Peak memory usage: 13 MB
% 13.01/2.16 % (3593868)Instructions burned: 1440 (million)
% 13.01/2.16 % (3593944)Instruction limit reached!
% 13.01/2.16 % (3593944)------------------------------
% 13.01/2.16 % (3593944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.01/2.16 % (3593944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/2.16 % (3593944)CaDiCaL version: 2.1.3
% 13.01/2.16 % (3593944)Termination reason: Instruction limit
% 13.01/2.16 % (3593944)Termination phase: Saturation
% 13.01/2.16 % (3593944)Time elapsed: 0.073 s
% 13.01/2.16 % (3593944)Peak memory usage: 12 MB
% 13.01/2.16 % (3593944)Instructions burned: 160 (million)
% 13.01/2.16 % (3593948)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=4204563441:i=213:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/213Mi)
% 13.01/2.16 % (3593948)Refutation not found, incomplete strategy
% 13.01/2.16 % (3593948)------------------------------
% 13.01/2.16 % (3593948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.01/2.16 % (3593948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/2.16 % (3593948)CaDiCaL version: 2.1.3
% 13.01/2.16 % (3593948)Termination reason: Refutation not found, incomplete strategy
% 13.01/2.16 % (3593948)Time elapsed: 0.001 s
% 13.01/2.16 % (3593948)Peak memory usage: 11 MB
% 13.01/2.16 % (3593948)------------------------------
% 13.01/2.16 % (3593948)------------------------------
% 13.01/2.16 % (3593945)Instruction limit reached!
% 13.01/2.16 % (3593945)------------------------------
% 13.01/2.16 % (3593945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.01/2.16 % (3593945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/2.16 % (3593945)CaDiCaL version: 2.1.3
% 13.01/2.16 % (3593945)Termination reason: Instruction limit
% 13.01/2.16 % (3593945)Termination phase: Saturation
% 13.01/2.16 % (3593945)Time elapsed: 0.092 s
% 13.01/2.16 % (3593945)Peak memory usage: 12 MB
% 13.01/2.16 % (3593945)Instructions burned: 253 (million)
% 13.01/2.16 % (3593942)Instruction limit reached!
% 13.01/2.16 % (3593942)------------------------------
% 13.01/2.16 % (3593942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.01/2.16 % (3593942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/2.16 % (3593942)CaDiCaL version: 2.1.3
% 13.01/2.16 % (3593942)Termination reason: Instruction limit
% 13.01/2.16 % (3593942)Termination phase: Saturation
% 13.01/2.16 % (3593942)Time elapsed: 0.147 s
% 13.01/2.16 % (3593942)Peak memory usage: 13 MB
% 13.01/2.16 % (3593942)Instructions burned: 366 (million)
% 13.01/2.16 % (3593949)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=3467301067:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/160Mi)
% 13.28/2.22 % (3593949)Refutation not found, incomplete strategy
% 13.28/2.22 % (3593949)------------------------------
% 13.28/2.22 % (3593949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.22 % (3593949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.22 % (3593949)CaDiCaL version: 2.1.3
% 13.28/2.22 % (3593949)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.22 % (3593949)Time elapsed: 0.001 s
% 13.28/2.22 % (3593949)Peak memory usage: 11 MB
% 13.28/2.22 % (3593949)------------------------------
% 13.28/2.22 % (3593949)------------------------------
% 13.28/2.22 % (3593952)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 13.28/2.22 % (3593952)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=218090946:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2983 on theBenchmark for (2983ds/237Mi)
% 13.28/2.22 % (3593952)Refutation not found, incomplete strategy
% 13.28/2.22 % (3593952)------------------------------
% 13.28/2.22 % (3593952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.22 % (3593952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.22 % (3593952)CaDiCaL version: 2.1.3
% 13.28/2.22 % (3593952)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.22 % (3593952)Time elapsed: 0.0000 s
% 13.28/2.22 % (3593952)Peak memory usage: 11 MB
% 13.28/2.22 % (3593951)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=3132684476:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/763Mi)
% 13.28/2.22 % (3593952)------------------------------
% 13.28/2.22 % (3593952)------------------------------
% 13.28/2.22 % (3593953)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=769089886:s2a=on:i=386:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/386Mi)
% 13.28/2.22 % (3593955)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=2431153954:i=300:piset=and:nm=32:rtra=on_2983 on theBenchmark for (2983ds/300Mi)
% 13.28/2.22 % (3593959)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=615405683:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/567Mi)
% 13.28/2.22 % (3593959)Refutation not found, incomplete strategy
% 13.28/2.22 % (3593959)------------------------------
% 13.28/2.22 % (3593959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.22 % (3593959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.22 % (3593959)CaDiCaL version: 2.1.3
% 13.28/2.22 % (3593959)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.22 % (3593959)Time elapsed: 0.001 s
% 13.28/2.22 % (3593959)Peak memory usage: 11 MB
% 13.28/2.22 % (3593959)Instructions burned: 1 (million)
% 13.28/2.22 % (3593959)------------------------------
% 13.28/2.22 % (3593959)------------------------------
% 13.28/2.22 % (3593963)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=2412940625:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2983 on theBenchmark for (2983ds/379Mi)
% 13.28/2.22 % (3593963)Refutation not found, incomplete strategy
% 13.28/2.22 % (3593963)------------------------------
% 13.28/2.22 % (3593963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.22 % (3593963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.22 % (3593963)CaDiCaL version: 2.1.3
% 13.28/2.22 % (3593963)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.22 % (3593963)Time elapsed: 0.001 s
% 13.28/2.22 % (3593963)Peak memory usage: 11 MB
% 13.28/2.22 % (3593963)------------------------------
% 13.28/2.22 % (3593963)------------------------------
% 13.28/2.22 % (3593965)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2773435923:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2982 on theBenchmark for (2982ds/429Mi)
% 13.28/2.22 % (3593955)Instruction limit reached!
% 13.28/2.22 % (3593955)------------------------------
% 13.28/2.22 % (3593955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.30 % (3593955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.30 % (3593955)CaDiCaL version: 2.1.3
% 13.28/2.30 % (3593955)Termination reason: Instruction limit
% 13.28/2.30 % (3593955)Termination phase: Saturation
% 13.28/2.30 % (3593955)Time elapsed: 0.130 s
% 13.28/2.30 % (3593955)Peak memory usage: 12 MB
% 13.28/2.30 % (3593955)Instructions burned: 300 (million)
% 13.28/2.30 % (3593930)Instruction limit reached!
% 13.28/2.30 % (3593930)------------------------------
% 13.28/2.30 % (3593930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.30 % (3593930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.30 % (3593930)CaDiCaL version: 2.1.3
% 13.28/2.30 % (3593930)Termination reason: Instruction limit
% 13.28/2.30 % (3593930)Termination phase: Saturation
% 13.28/2.30 % (3593930)Time elapsed: 0.617 s
% 13.28/2.30 % (3593930)Peak memory usage: 17 MB
% 13.28/2.30 % (3593930)Instructions burned: 2473 (million)
% 13.28/2.30 % (3593967)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=925105712:i=478:bd=all:rtra=on_2981 on theBenchmark for (2981ds/478Mi)
% 13.28/2.30 % (3593967)Refutation not found, incomplete strategy
% 13.28/2.30 % (3593967)------------------------------
% 13.28/2.30 % (3593967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.30 % (3593967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.30 % (3593967)CaDiCaL version: 2.1.3
% 13.28/2.30 % (3593967)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.30 % (3593967)Time elapsed: 0.001 s
% 13.28/2.30 % (3593967)Peak memory usage: 12 MB
% 13.28/2.30 % (3593967)Instructions burned: 1 (million)
% 13.28/2.30 % (3593967)------------------------------
% 13.28/2.30 % (3593967)------------------------------
% 13.28/2.30 % (3593969)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1254226758:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2981 on theBenchmark for (2981ds/445Mi)
% 13.28/2.30 % (3593970)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=4097464688:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2981 on theBenchmark for (2981ds/71Mi)
% 13.28/2.30 % (3593970)Instruction limit reached!
% 13.28/2.30 % (3593970)------------------------------
% 13.28/2.30 % (3593970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.30 % (3593970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.30 % (3593970)CaDiCaL version: 2.1.3
% 13.28/2.30 % (3593970)Termination reason: Instruction limit
% 13.28/2.30 % (3593970)Termination phase: Saturation
% 13.28/2.30 % (3593970)Time elapsed: 0.038 s
% 13.28/2.30 % (3593970)Peak memory usage: 12 MB
% 13.28/2.30 % (3593970)Instructions burned: 71 (million)
% 13.28/2.30 % (3593973)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1759295900:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/302Mi)
% 13.28/2.30 % (3593973)Refutation not found, incomplete strategy
% 13.28/2.30 % (3593973)------------------------------
% 13.28/2.30 % (3593973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.30 % (3593973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.30 % (3593973)CaDiCaL version: 2.1.3
% 13.28/2.30 % (3593973)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.30 % (3593973)Time elapsed: 0.001 s
% 13.28/2.30 % (3593973)Peak memory usage: 11 MB
% 13.28/2.30 % (3593973)------------------------------
% 13.28/2.30 % (3593973)------------------------------
% 13.28/2.30 % (3593953)Instruction limit reached!
% 13.28/2.30 % (3593953)------------------------------
% 13.28/2.30 % (3593953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/2.30 % (3593953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.30 % (3593953)CaDiCaL version: 2.1.3
% 13.28/2.30 % (3593953)Termination reason: Instruction limit
% 13.28/2.30 % (3593953)Termination phase: Saturation
% 13.28/2.30 % (3593953)Time elapsed: 0.249 s
% 13.28/2.30 % (3593953)Peak memory usage: 12 MB
% 13.28/2.30 % (3593953)Instructions burned: 386 (million)
% 13.28/2.30 % (3593975)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1204610808:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/4980Mi)
% 13.28/2.30 % (3593976)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
% 14.08/2.43 % (3593975)Refutation not found, incomplete strategy
% 14.08/2.43 % (3593975)------------------------------
% 14.08/2.43 % (3593975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.43 % (3593975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.43 % (3593976)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 14.08/2.43 % (3593975)CaDiCaL version: 2.1.3
% 14.08/2.43 % (3593975)Termination reason: Refutation not found, incomplete strategy
% 14.08/2.43 % (3593975)Time elapsed: 0.001 s
% 14.08/2.43 % (3593975)Peak memory usage: 11 MB
% 14.08/2.43 % (3593975)------------------------------
% 14.08/2.43 % (3593975)------------------------------
% 14.08/2.43 % (3593976)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1656569276:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2980 on theBenchmark for (2980ds/100Mi)
% 14.08/2.43 % (3593951)Instruction limit reached!
% 14.08/2.43 % (3593951)------------------------------
% 14.08/2.43 % (3593951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.43 % (3593951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.43 % (3593951)CaDiCaL version: 2.1.3
% 14.08/2.43 % (3593951)Termination reason: Instruction limit
% 14.08/2.43 % (3593951)Termination phase: Saturation
% 14.08/2.43 % (3593951)Time elapsed: 0.276 s
% 14.08/2.43 % (3593951)Peak memory usage: 14 MB
% 14.08/2.43 % (3593951)Instructions burned: 765 (million)
% 14.08/2.43 % (3593978)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=2821251953:i=76:piset=equals:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/76Mi)
% 14.08/2.43 % (3593980)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=549306569:i=289:rtra=on_2980 on theBenchmark for (2980ds/289Mi)
% 14.08/2.43 % (3593980)Refutation not found, incomplete strategy
% 14.08/2.43 % (3593980)------------------------------
% 14.08/2.43 % (3593980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.43 % (3593980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.43 % (3593980)CaDiCaL version: 2.1.3
% 14.08/2.43 % (3593980)Termination reason: Refutation not found, incomplete strategy
% 14.08/2.43 % (3593980)Time elapsed: 0.001 s
% 14.08/2.43 % (3593980)Peak memory usage: 11 MB
% 14.08/2.43 % (3593980)Instructions burned: 1 (million)
% 14.08/2.43 % (3593980)------------------------------
% 14.08/2.43 % (3593980)------------------------------
% 14.08/2.43 % (3593983)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=2285606479:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2980 on theBenchmark for (2980ds/493Mi)
% 14.08/2.43 % (3593976)Instruction limit reached!
% 14.08/2.43 % (3593976)------------------------------
% 14.08/2.43 % (3593976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.43 % (3593976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.43 % (3593976)CaDiCaL version: 2.1.3
% 14.08/2.43 % (3593976)Termination reason: Instruction limit
% 14.08/2.43 % (3593976)Termination phase: Saturation
% 14.08/2.43 % (3593976)Time elapsed: 0.048 s
% 14.08/2.43 % (3593976)Peak memory usage: 12 MB
% 14.08/2.43 % (3593976)Instructions burned: 102 (million)
% 14.08/2.43 % (3593978)Instruction limit reached!
% 14.08/2.43 % (3593978)------------------------------
% 14.08/2.43 % (3593978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.43 % (3593978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.43 % (3593978)CaDiCaL version: 2.1.3
% 14.08/2.43 % (3593978)Termination reason: Instruction limit
% 14.08/2.43 % (3593978)Termination phase: Saturation
% 14.08/2.43 % (3593978)Time elapsed: 0.036 s
% 14.08/2.43 % (3593978)Peak memory usage: 12 MB
% 14.08/2.43 % (3593978)Instructions burned: 76 (million)
% 14.08/2.43 % (3593916)Instruction limit reached!
% 14.08/2.43 % (3593916)------------------------------
% 14.08/2.43 % (3593916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.43 % (3593916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.77 % (3593916)CaDiCaL version: 2.1.3
% 14.75/2.77 % (3593916)Termination reason: Instruction limit
% 14.75/2.77 % (3593916)Termination phase: Saturation
% 14.75/2.77 % (3593916)Time elapsed: 0.938 s
% 14.75/2.77 % (3593916)Peak memory usage: 13 MB
% 14.75/2.77 % (3593916)Instructions burned: 2186 (million)
% 14.75/2.77 % (3593985)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=4086581:cond=on:i=34:hud=10:nm=10:rtra=on_2980 on theBenchmark for (2980ds/34Mi)
% 14.75/2.77 % (3593969)Instruction limit reached!
% 14.75/2.77 % (3593969)------------------------------
% 14.75/2.77 % (3593969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.75/2.77 % (3593969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.77 % (3593969)CaDiCaL version: 2.1.3
% 14.75/2.77 % (3593969)Termination reason: Instruction limit
% 14.75/2.77 % (3593969)Termination phase: Saturation
% 14.75/2.77 % (3593969)Time elapsed: 0.165 s
% 14.75/2.77 % (3593969)Peak memory usage: 14 MB
% 14.75/2.77 % (3593969)Instructions burned: 446 (million)
% 14.75/2.77 % (3593986)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 14.75/2.77 % (3593986)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=3095234967:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2980 on theBenchmark for (2980ds/372Mi)
% 14.75/2.77 % (3593986)Refutation not found, incomplete strategy
% 14.75/2.77 % (3593986)------------------------------
% 14.75/2.77 % (3593986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.75/2.77 % (3593986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.77 % (3593986)CaDiCaL version: 2.1.3
% 14.75/2.77 % (3593986)Termination reason: Refutation not found, incomplete strategy
% 14.75/2.77 % (3593986)Time elapsed: 0.006 s
% 14.75/2.77 % (3593986)Peak memory usage: 11 MB
% 14.75/2.77 % (3593986)Instructions burned: 2 (million)
% 14.75/2.77 % (3593986)------------------------------
% 14.75/2.77 % (3593986)------------------------------
% 14.75/2.77 % (3593985)Instruction limit reached!
% 14.75/2.77 % (3593985)------------------------------
% 14.75/2.77 % (3593985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.75/2.77 % (3593985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.77 % (3593985)CaDiCaL version: 2.1.3
% 14.75/2.77 % (3593985)Termination reason: Instruction limit
% 14.75/2.77 % (3593985)Termination phase: Saturation
% 14.75/2.77 % (3593985)Time elapsed: 0.019 s
% 14.75/2.77 % (3593985)Peak memory usage: 12 MB
% 14.75/2.77 % (3593985)Instructions burned: 36 (million)
% 14.75/2.77 % (3593987)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=4127771443:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2979 on theBenchmark for (2979ds/670Mi)
% 14.75/2.77 % (3593991)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=614120326:i=857:add=off:kws=frequency:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/857Mi)
% 14.75/2.77 % (3593989)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1819389377:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/647Mi)
% 14.75/2.77 % (3593989)Refutation not found, incomplete strategy
% 14.75/2.77 % (3593989)------------------------------
% 14.75/2.77 % (3593989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.75/2.77 % (3593989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.77 % (3593989)CaDiCaL version: 2.1.3
% 14.75/2.77 % (3593989)Termination reason: Refutation not found, incomplete strategy
% 14.75/2.77 % (3593989)Time elapsed: 0.001 s
% 14.75/2.77 % (3593989)Peak memory usage: 11 MB
% 14.75/2.77 % (3593989)------------------------------
% 14.75/2.77 % (3593989)------------------------------
% 14.75/2.77 % (3593992)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=3348466346:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2979 on theBenchmark for (2979ds/693Mi)
% 14.75/2.77 % (3593996)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1821648250:i=285:hud=10:bd=all:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/285Mi)
% 16.24/2.84 % (3593996)Refutation not found, incomplete strategy
% 16.24/2.84 % (3593996)------------------------------
% 16.24/2.84 % (3593996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.84 % (3593996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.84 % (3593996)CaDiCaL version: 2.1.3
% 16.24/2.84 % (3593996)Termination reason: Refutation not found, incomplete strategy
% 16.24/2.84 % (3593996)Time elapsed: 0.002 s
% 16.24/2.84 % (3593996)Peak memory usage: 11 MB
% 16.24/2.84 % (3593996)Instructions burned: 1 (million)
% 16.24/2.84 % (3593996)------------------------------
% 16.24/2.84 % (3593996)------------------------------
% 16.24/2.84 % (3593965)Instruction limit reached!
% 16.24/2.84 % (3593965)------------------------------
% 16.24/2.84 % (3593965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.84 % (3593965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.84 % (3593965)CaDiCaL version: 2.1.3
% 16.24/2.84 % (3593965)Termination reason: Instruction limit
% 16.24/2.84 % (3593965)Termination phase: Saturation
% 16.24/2.84 % (3593965)Time elapsed: 0.352 s
% 16.24/2.84 % (3593965)Peak memory usage: 12 MB
% 16.24/2.84 % (3593965)Instructions burned: 430 (million)
% 16.24/2.84 % (3594000)dis+10_1_si=on:random_seed=3343438447:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2978 on theBenchmark for (2978ds/407Mi)
% 16.24/2.84 % (3593999)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 16.24/2.84 % (3594000)Refutation not found, incomplete strategy
% 16.24/2.84 % (3594000)------------------------------
% 16.24/2.84 % (3594000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.84 % (3594000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.84 % (3594000)CaDiCaL version: 2.1.3
% 16.24/2.84 % (3594000)Termination reason: Refutation not found, incomplete strategy
% 16.24/2.84 % (3594000)Time elapsed: 0.001 s
% 16.24/2.84 % (3594000)Peak memory usage: 11 MB
% 16.24/2.84 % (3594000)------------------------------
% 16.24/2.84 % (3594000)------------------------------
% 16.24/2.84 % (3593999)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=1879723674:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2979 on theBenchmark for (2979ds/52Mi)
% 16.24/2.84 % (3594002)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=2929302132:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/2240Mi)
% 16.24/2.84 % (3593999)Instruction limit reached!
% 16.24/2.84 % (3593999)------------------------------
% 16.24/2.84 % (3593999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.84 % (3593999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.84 % (3593999)CaDiCaL version: 2.1.3
% 16.24/2.84 % (3593999)Termination reason: Instruction limit
% 16.24/2.84 % (3593999)Termination phase: Saturation
% 16.24/2.84 % (3593999)Time elapsed: 0.050 s
% 16.24/2.84 % (3593999)Peak memory usage: 12 MB
% 16.24/2.84 % (3593999)Instructions burned: 54 (million)
% 16.24/2.84 % (3594005)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=1054132015:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/336Mi)
% 16.24/2.84 % (3594005)Refutation not found, incomplete strategy
% 16.24/2.84 % (3594005)------------------------------
% 16.24/2.84 % (3594005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.84 % (3594005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.84 % (3594005)CaDiCaL version: 2.1.3
% 16.24/2.84 % (3594005)Termination reason: Refutation not found, incomplete strategy
% 16.24/2.84 % (3594005)Time elapsed: 0.001 s
% 16.24/2.84 % (3594005)Peak memory usage: 11 MB
% 16.24/2.84 % (3593983)Instruction limit reached!
% 16.24/2.84 % (3593983)------------------------------
% 16.24/2.84 % (3593983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.84 % (3593983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.84 % (3593983)CaDiCaL version: 2.1.3
% 16.24/2.84 % (3593983)Termination reason: Instruction limit
% 16.24/2.84 % (3593983)Termination phase: Saturation
% 16.24/2.84 % (3593983)Time elapsed: 0.224 s
% 16.24/2.84 % (3593983)Peak memory usage: 12 MB
% 16.24/2.84 % (3593983)Instructions burned: 494 (million)
% 19.80/3.21 % (3594005)------------------------------
% 19.80/3.21 % (3594005)------------------------------
% 19.80/3.21 % (3594008)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=288282452:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/376Mi)
% 19.80/3.21 % (3594007)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=2308329675:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2977 on theBenchmark for (2977ds/1142Mi)
% 19.80/3.21 % (3594008)Refutation not found, incomplete strategy
% 19.80/3.21 % (3594008)------------------------------
% 19.80/3.21 % (3594008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.21 % (3594008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.21 % (3594008)CaDiCaL version: 2.1.3
% 19.80/3.21 % (3594008)Termination reason: Refutation not found, incomplete strategy
% 19.80/3.21 % (3594008)Time elapsed: 0.001 s
% 19.80/3.21 % (3594008)Peak memory usage: 11 MB
% 19.80/3.21 % (3594008)------------------------------
% 19.80/3.21 % (3594008)------------------------------
% 19.80/3.21 % (3594011)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=706573457:i=766:bd=all:rtra=on_2977 on theBenchmark for (2977ds/766Mi)
% 19.80/3.21 % (3594011)Refutation not found, incomplete strategy
% 19.80/3.21 % (3594011)------------------------------
% 19.80/3.21 % (3594011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.21 % (3594011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.21 % (3594011)CaDiCaL version: 2.1.3
% 19.80/3.21 % (3594011)Termination reason: Refutation not found, incomplete strategy
% 19.80/3.21 % (3594011)Time elapsed: 0.001 s
% 19.80/3.21 % (3594011)Peak memory usage: 12 MB
% 19.80/3.21 % (3594011)Instructions burned: 1 (million)
% 19.80/3.21 % (3594011)------------------------------
% 19.80/3.21 % (3594011)------------------------------
% 19.80/3.21 % (3594013)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 19.80/3.21 % (3594013)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=4188104435: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_2977 on theBenchmark for (2977ds/959Mi)
% 19.80/3.21 % (3594013)Refutation not found, incomplete strategy
% 19.80/3.21 % (3594013)------------------------------
% 19.80/3.21 % (3594013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.21 % (3594013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.21 % (3594013)CaDiCaL version: 2.1.3
% 19.80/3.21 % (3594013)Termination reason: Refutation not found, incomplete strategy
% 19.80/3.21 % (3594013)Time elapsed: 0.001 s
% 19.80/3.21 % (3594013)Peak memory usage: 11 MB
% 19.80/3.21 % (3594013)------------------------------
% 19.80/3.21 % (3594013)------------------------------
% 19.80/3.21 % (3594015)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=1333830705:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2977 on theBenchmark for (2977ds/6359Mi)
% 19.80/3.21 % (3593991)Instruction limit reached!
% 19.80/3.21 % (3593991)------------------------------
% 19.80/3.21 % (3593991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.21 % (3593991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.21 % (3593991)CaDiCaL version: 2.1.3
% 19.80/3.21 % (3593991)Termination reason: Instruction limit
% 19.80/3.21 % (3593991)Termination phase: Saturation
% 19.80/3.21 % (3593991)Time elapsed: 0.464 s
% 19.80/3.21 % (3593991)Peak memory usage: 13 MB
% 19.80/3.21 % (3593991)Instructions burned: 858 (million)
% 19.80/3.21 % (3593992)Instruction limit reached!
% 19.80/3.21 % (3593992)------------------------------
% 19.80/3.21 % (3593992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.21 % (3593992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.21 % (3593992)CaDiCaL version: 2.1.3
% 19.80/3.21 % (3593992)Termination reason: Instruction limit
% 19.80/3.21 % (3593992)Termination phase: Saturation
% 19.80/3.21 % (3593992)Time elapsed: 0.459 s
% 19.80/3.21 % (3593992)Peak memory usage: 12 MB
% 19.80/3.21 % (3593992)Instructions burned: 693 (million)
% 19.80/3.21 % (3593987)Instruction limit reached!
% 19.80/3.21 % (3593987)------------------------------
% 20.41/3.40 % (3593987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.41/3.40 % (3593987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.41/3.40 % (3593987)CaDiCaL version: 2.1.3
% 20.41/3.40 % (3593987)Termination reason: Instruction limit
% 20.41/3.40 % (3593987)Termination phase: Saturation
% 20.41/3.40 % (3593987)Time elapsed: 0.501 s
% 20.41/3.40 % (3593987)Peak memory usage: 12 MB
% 20.41/3.40 % (3593987)Instructions burned: 670 (million)
% 20.41/3.40 % (3594017)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=716963975:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2974 on theBenchmark for (2974ds/35Mi)
% 20.41/3.40 % (3594017)Refutation not found, incomplete strategy
% 20.41/3.40 % (3594017)------------------------------
% 20.41/3.40 % (3594017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.41/3.40 % (3594017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.41/3.40 % (3594017)CaDiCaL version: 2.1.3
% 20.41/3.40 % (3594017)Termination reason: Refutation not found, incomplete strategy
% 20.41/3.40 % (3594017)Time elapsed: 0.001 s
% 20.41/3.40 % (3594017)Peak memory usage: 11 MB
% 20.41/3.40 % (3594017)------------------------------
% 20.41/3.40 % (3594017)------------------------------
% 20.41/3.40 % (3594018)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1254336641:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2974 on theBenchmark for (2974ds/53Mi)
% 20.41/3.40 % (3594021)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1650311556:i=57:ep=R:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/57Mi)
% 20.41/3.40 % (3594019)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=4099038760:s2a=on:i=876:s2at=6:nm=2:rtra=on_2974 on theBenchmark for (2974ds/876Mi)
% 20.41/3.40 % (3594018)Instruction limit reached!
% 20.41/3.40 % (3594018)------------------------------
% 20.41/3.40 % (3594018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.41/3.40 % (3594018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.41/3.40 % (3594018)CaDiCaL version: 2.1.3
% 20.41/3.40 % (3594018)Termination reason: Instruction limit
% 20.41/3.40 % (3594018)Termination phase: Saturation
% 20.41/3.40 % (3594018)Time elapsed: 0.031 s
% 20.41/3.40 % (3594018)Peak memory usage: 12 MB
% 20.41/3.40 % (3594018)Instructions burned: 55 (million)
% 20.41/3.40 % (3594021)Instruction limit reached!
% 20.41/3.40 % (3594021)------------------------------
% 20.41/3.40 % (3594021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.41/3.40 % (3594021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.41/3.40 % (3594021)CaDiCaL version: 2.1.3
% 20.41/3.40 % (3594021)Termination reason: Instruction limit
% 20.41/3.40 % (3594021)Termination phase: Saturation
% 20.41/3.40 % (3594021)Time elapsed: 0.026 s
% 20.41/3.40 % (3594021)Peak memory usage: 12 MB
% 20.41/3.40 % (3594021)Instructions burned: 58 (million)
% 20.41/3.40 % (3594025)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 20.41/3.40 % (3594025)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1752883488:i=306:bd=all:rtra=on_2974 on theBenchmark for (2974ds/306Mi)
% 20.41/3.40 % (3594025)Refutation not found, incomplete strategy
% 20.41/3.40 % (3594025)------------------------------
% 20.41/3.40 % (3594025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.41/3.40 % (3594025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.41/3.40 % (3594025)CaDiCaL version: 2.1.3
% 20.41/3.40 % (3594025)Termination reason: Refutation not found, incomplete strategy
% 20.41/3.40 % (3594025)Time elapsed: 0.001 s
% 20.41/3.40 % (3594025)Peak memory usage: 11 MB
% 20.41/3.40 % (3594025)Instructions burned: 1 (million)
% 20.41/3.40 % (3594025)------------------------------
% 20.41/3.40 % (3594025)------------------------------
% 20.41/3.40 % (3594026)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=682574549:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/262Mi)
% 20.41/3.40 % (3594026)Refutation not found, incomplete strategy
% 20.41/3.40 % (3594026)------------------------------
% 20.41/3.40 % (3594026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.56/3.54 % (3594026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.56/3.54 % (3594026)CaDiCaL version: 2.1.3
% 21.56/3.54 % (3594026)Termination reason: Refutation not found, incomplete strategy
% 21.56/3.54 % (3594026)Time elapsed: 0.001 s
% 21.56/3.54 % (3594026)Peak memory usage: 11 MB
% 21.56/3.54 % (3594026)------------------------------
% 21.56/3.54 % (3594026)------------------------------
% 21.56/3.54 % (3594028)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 21.56/3.54 % (3594028)ott+1002_16_sil=128000:si=on:random_seed=122657747:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2973 on theBenchmark for (2973ds/409Mi)
% 21.56/3.54 % (3594030)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1635153727:s2a=on:i=381:rtra=on_2973 on theBenchmark for (2973ds/381Mi)
% 21.56/3.54 % (3594028)Instruction limit reached!
% 21.56/3.54 % (3594028)------------------------------
% 21.56/3.54 % (3594028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.56/3.54 % (3594028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.56/3.54 % (3594028)CaDiCaL version: 2.1.3
% 21.56/3.54 % (3594028)Termination reason: Instruction limit
% 21.56/3.54 % (3594028)Termination phase: Saturation
% 21.56/3.54 % (3594028)Time elapsed: 0.171 s
% 21.56/3.54 % (3594028)Peak memory usage: 13 MB
% 21.56/3.54 % (3594028)Instructions burned: 410 (million)
% 21.56/3.54 % (3594030)Instruction limit reached!
% 21.56/3.54 % (3594030)------------------------------
% 21.56/3.54 % (3594030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.56/3.54 % (3594030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.56/3.54 % (3594030)CaDiCaL version: 2.1.3
% 21.56/3.54 % (3594030)Termination reason: Instruction limit
% 21.56/3.54 % (3594030)Termination phase: Saturation
% 21.56/3.54 % (3594030)Time elapsed: 0.172 s
% 21.56/3.54 % (3594030)Peak memory usage: 12 MB
% 21.56/3.54 % (3594030)Instructions burned: 383 (million)
% 21.56/3.54 % (3594033)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3122242945:cond=on:i=324:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/324Mi)
% 21.56/3.54 % (3594035)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=1312542249:i=240:kws=inv_precedence:rtra=on_2971 on theBenchmark for (2971ds/240Mi)
% 21.56/3.54 % (3594035)Refutation not found, incomplete strategy
% 21.56/3.54 % (3594035)------------------------------
% 21.56/3.54 % (3594035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.56/3.54 % (3594035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.56/3.54 % (3594035)CaDiCaL version: 2.1.3
% 21.56/3.54 % (3594035)Termination reason: Refutation not found, incomplete strategy
% 21.56/3.54 % (3594035)Time elapsed: 0.001 s
% 21.56/3.54 % (3594035)Peak memory usage: 11 MB
% 21.56/3.54 % (3594035)Instructions burned: 1 (million)
% 21.56/3.54 % (3594035)------------------------------
% 21.56/3.54 % (3594035)------------------------------
% 21.56/3.54 % (3594007)Instruction limit reached!
% 21.56/3.54 % (3594007)------------------------------
% 21.56/3.54 % (3594007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.56/3.54 % (3594007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.56/3.54 % (3594007)CaDiCaL version: 2.1.3
% 21.56/3.54 % (3594007)Termination reason: Instruction limit
% 21.56/3.54 % (3594007)Termination phase: Saturation
% 21.56/3.54 % (3594007)Time elapsed: 0.656 s
% 21.56/3.54 % (3594007)Peak memory usage: 14 MB
% 21.56/3.54 % (3594007)Instructions burned: 1143 (million)
% 21.56/3.54 % (3594039)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 21.56/3.54 % (3594039)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1010554571:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/124Mi)
% 21.56/3.54 % (3594040)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2645439254:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/223Mi)
% 21.56/3.54 % (3594033)Instruction limit reached!
% 21.56/3.54 % (3594033)------------------------------
% 21.56/3.54 % (3594033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.56/3.54 % (3594033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.55/3.78 % (3594033)CaDiCaL version: 2.1.3
% 22.55/3.78 % (3594033)Termination reason: Instruction limit
% 22.55/3.78 % (3594033)Termination phase: Saturation
% 22.55/3.78 % (3594033)Time elapsed: 0.156 s
% 22.55/3.78 % (3594033)Peak memory usage: 12 MB
% 22.55/3.78 % (3594033)Instructions burned: 326 (million)
% 22.55/3.78 % (3594040)Instruction limit reached!
% 22.55/3.78 % (3594040)------------------------------
% 22.55/3.78 % (3594040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.55/3.78 % (3594040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.55/3.78 % (3594040)CaDiCaL version: 2.1.3
% 22.55/3.78 % (3594040)Termination reason: Instruction limit
% 22.55/3.78 % (3594040)Termination phase: Saturation
% 22.55/3.78 % (3594040)Time elapsed: 0.080 s
% 22.55/3.78 % (3594040)Peak memory usage: 13 MB
% 22.55/3.78 % (3594040)Instructions burned: 226 (million)
% 22.55/3.78 % (3594039)Instruction limit reached!
% 22.55/3.78 % (3594039)------------------------------
% 22.55/3.78 % (3594039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.55/3.78 % (3594039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.55/3.78 % (3594039)CaDiCaL version: 2.1.3
% 22.55/3.78 % (3594039)Termination reason: Instruction limit
% 22.55/3.78 % (3594039)Termination phase: Saturation
% 22.55/3.78 % (3594039)Time elapsed: 0.094 s
% 22.55/3.78 % (3594039)Peak memory usage: 11 MB
% 22.55/3.78 % (3594039)Instructions burned: 125 (million)
% 22.55/3.78 % (3594048)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=2266031894:i=88:s2at=3:nm=2:rtra=on:rawr=on_2970 on theBenchmark for (2970ds/88Mi)
% 22.55/3.78 % (3594046)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3751526375:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2970 on theBenchmark for (2970ds/282Mi)
% 22.55/3.78 % (3594047)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=584499610:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/464Mi)
% 22.55/3.78 % (3594047)Refutation not found, incomplete strategy
% 22.55/3.78 % (3594047)------------------------------
% 22.55/3.78 % (3594047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.55/3.78 % (3594047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.55/3.78 % (3594047)CaDiCaL version: 2.1.3
% 22.55/3.78 % (3594047)Termination reason: Refutation not found, incomplete strategy
% 22.55/3.78 % (3594047)Time elapsed: 0.001 s
% 22.55/3.78 % (3594047)Peak memory usage: 11 MB
% 22.55/3.78 % (3594047)Instructions burned: 1 (million)
% 22.55/3.78 % (3594047)------------------------------
% 22.55/3.78 % (3594047)------------------------------
% 22.55/3.78 % (3594048)Instruction limit reached!
% 22.55/3.78 % (3594048)------------------------------
% 22.55/3.78 % (3594048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.55/3.78 % (3594048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.55/3.78 % (3594048)CaDiCaL version: 2.1.3
% 22.55/3.78 % (3594048)Termination reason: Instruction limit
% 22.55/3.78 % (3594048)Termination phase: Saturation
% 22.55/3.78 % (3594048)Time elapsed: 0.039 s
% 22.55/3.78 % (3594048)Peak memory usage: 12 MB
% 22.55/3.78 % (3594048)Instructions burned: 89 (million)
% 22.55/3.78 % (3594052)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3222268767:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2969 on theBenchmark for (2969ds/280Mi)
% 22.55/3.78 % (3594053)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 22.55/3.78 % (3594053)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2083437134:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/4386Mi)
% 22.55/3.78 % (3594019)Instruction limit reached!
% 22.55/3.78 % (3594019)------------------------------
% 22.55/3.78 % (3594019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.55/3.78 % (3594019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.55/3.78 % (3594019)CaDiCaL version: 2.1.3
% 22.55/3.78 % (3594019)Termination reason: Instruction limit
% 22.55/3.78 % (3594019)Termination phase: Saturation
% 22.55/3.78 % (3594019)Time elapsed: 0.599 s
% 22.55/3.78 % (3594019)Peak memory usage: 13 MB
% 22.55/3.78 % (3594019)Instructions burned: 878 (million)
% 22.55/3.78 % (3594046)Instruction limit reached!
% 23.63/3.92 % (3594046)------------------------------
% 23.63/3.92 % (3594046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.63/3.92 % (3594046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.63/3.92 % (3594046)CaDiCaL version: 2.1.3
% 23.63/3.92 % (3594046)Termination reason: Instruction limit
% 23.63/3.92 % (3594046)Termination phase: Saturation
% 23.63/3.92 % (3594046)Time elapsed: 0.157 s
% 23.63/3.92 % (3594046)Peak memory usage: 13 MB
% 23.63/3.92 % (3594046)Instructions burned: 283 (million)
% 23.63/3.92 % (3594056)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 23.63/3.92 % (3594056)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 23.63/3.92 % (3594056)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=2934657756:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2968 on theBenchmark for (2968ds/483Mi)
% 23.63/3.92 % (3594056)Refutation not found, incomplete strategy
% 23.63/3.92 % (3594056)------------------------------
% 23.63/3.92 % (3594056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.63/3.92 % (3594056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.63/3.92 % (3594056)CaDiCaL version: 2.1.3
% 23.63/3.92 % (3594056)Termination reason: Refutation not found, incomplete strategy
% 23.63/3.92 % (3594056)Time elapsed: 0.001 s
% 23.63/3.92 % (3594056)Peak memory usage: 12 MB
% 23.63/3.92 % (3594056)------------------------------
% 23.63/3.92 % (3594056)------------------------------
% 23.63/3.92 % (3594057)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3128592448:i=73:rtra=on_2968 on theBenchmark for (2968ds/73Mi)
% 23.63/3.92 % (3594057)Refutation not found, incomplete strategy
% 23.63/3.92 % (3594057)------------------------------
% 23.63/3.92 % (3594057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.63/3.92 % (3594057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.63/3.92 % (3594057)CaDiCaL version: 2.1.3
% 23.63/3.92 % (3594057)Termination reason: Refutation not found, incomplete strategy
% 23.63/3.92 % (3594057)Time elapsed: 0.001 s
% 23.63/3.92 % (3594057)Peak memory usage: 11 MB
% 23.63/3.92 % (3594057)Instructions burned: 1 (million)
% 23.63/3.92 % (3594057)------------------------------
% 23.63/3.92 % (3594057)------------------------------
% 23.63/3.92 % (3594061)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 23.63/3.92 % (3594061)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=4150881965:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2968 on theBenchmark for (2968ds/39Mi)
% 23.63/3.92 % (3594060)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1783235169:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2968 on theBenchmark for (2968ds/176Mi)
% 23.63/3.92 % (3594061)Instruction limit reached!
% 23.63/3.92 % (3594061)------------------------------
% 23.63/3.92 % (3594061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.63/3.92 % (3594061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.63/3.92 % (3594061)CaDiCaL version: 2.1.3
% 23.63/3.92 % (3594061)Termination reason: Instruction limit
% 23.63/3.92 % (3594061)Termination phase: Saturation
% 23.63/3.92 % (3594061)Time elapsed: 0.020 s
% 23.63/3.92 % (3594061)Peak memory usage: 12 MB
% 23.63/3.92 % (3594061)Instructions burned: 40 (million)
% 23.63/3.92 % (3594064)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4087042377:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2967 on theBenchmark for (2967ds/708Mi)
% 23.63/3.92 % (3594060)Instruction limit reached!
% 23.63/3.92 % (3594060)------------------------------
% 23.63/3.92 % (3594060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.63/3.92 % (3594060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.63/3.92 % (3594060)CaDiCaL version: 2.1.3
% 23.63/3.92 % (3594060)Termination reason: Instruction limit
% 23.63/3.92 % (3594060)Termination phase: Saturation
% 23.63/3.92 % (3594060)Time elapsed: 0.077 s
% 23.63/3.92 % (3594060)Peak memory usage: 12 MB
% 23.63/3.92 % (3594060)Instructions burned: 177 (million)
% 23.63/3.92 % (3594066)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
% 23.63/3.92 % (3594066)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=2249951560:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/252Mi)
% 23.63/3.92 % (3594052)Instruction limit reached!
% 23.63/3.92 % (3594052)------------------------------
% 23.63/3.92 % (3594052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.63/3.92 % (3594052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.63/3.92 % (3594052)CaDiCaL version: 2.1.3
% 23.63/3.92 % (3594052)Termination reason: Instruction limit
% 23.63/3.92 % (3594052)Termination phase: Saturation
% 23.63/3.92 % (3594052)Time elapsed: 0.275 s
% 23.63/3.92 % (3594052)Peak memory usage: 12 MB
% 23.63/3.92 % (3594052)Instructions burned: 281 (million)
% 23.63/3.92 % (3594068)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=930879386:i=823:fsr=off:rtra=on_2966 on theBenchmark for (2966ds/823Mi)
% 23.63/3.92 % (3594066)Instruction limit reached!
% 23.63/3.92 % (3594066)------------------------------
% 23.63/3.92 % (3594066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.63/3.92 % (3594066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.63/3.92 % (3594066)CaDiCaL version: 2.1.3
% 23.63/3.92 % (3594066)Termination reason: Instruction limit
% 23.63/3.92 % (3594066)Termination phase: Saturation
% 23.63/3.92 % (3594066)Time elapsed: 0.105 s
% 23.63/3.92 % (3594066)Peak memory usage: 12 MB
% 23.63/3.92 % (3594066)Instructions burned: 253 (million)
% 23.63/3.92 % (3594070)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 23.63/3.92 % (3594070)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2321304279:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/16202Mi)
% 23.63/3.92 % (3594070)Refutation not found, incomplete strategy
% 23.63/3.92 % (3594070)------------------------------
% 23.63/3.92 % (3594070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.63/3.92 % (3594070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.63/3.92 % (3594070)CaDiCaL version: 2.1.3
% 23.63/3.92 % (3594070)Termination reason: Refutation not found, incomplete strategy
% 23.63/3.92 % (3594070)Time elapsed: 0.001 s
% 23.63/3.92 % (3594070)Peak memory usage: 11 MB
% 23.63/3.92 % (3594070)Instructions burned: 1 (million)
% 23.63/3.92 % (3594070)------------------------------
% 23.63/3.92 % (3594070)------------------------------
% 23.63/3.92 % (3594072)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=62763039:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/300Mi)
% 23.63/3.92 % (3594064)Instruction limit reached!
% 23.63/3.92 % (3594064)------------------------------
% 23.63/3.92 % (3594064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.63/3.92 % (3594064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.63/3.92 % (3594064)CaDiCaL version: 2.1.3
% 23.63/3.92 % (3594064)Termination reason: Instruction limit
% 23.63/3.92 % (3594064)Termination phase: Saturation
% 23.63/3.92 % (3594064)Time elapsed: 0.273 s
% 23.63/3.92 % (3594064)Peak memory usage: 14 MB
% 23.63/3.92 % (3594064)Instructions burned: 710 (million)
% 23.63/3.92 % (3594074)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 23.63/3.92 % (3594074)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 23.63/3.92 % (3594074)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=1652853625:i=177:add=on:bd=preordered:rtra=on:rawr=on_2964 on theBenchmark for (2964ds/177Mi)
% 23.63/3.92 % (3594002)Instruction limit reached!
% 23.63/3.92 % (3594002)------------------------------
% 23.63/3.92 % (3594002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.63/3.92 % (3594002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.63/3.92 % (3594002)CaDiCaL version: 2.1.3
% 23.63/3.92 % (3594002)Termination reason: Instruction limit
% 23.63/3.92 % (3594002)Termination phase: Saturation
% 23.63/3.92 % (3594002)Time elapsed: 1.411 s
% 23.63/3.92 % (3594002)Peak memory usage: 17 MB
% 23.63/3.92 % (3594002)Instructions burned: 2240 (million)
% 23.63/3.92 % (3594076)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2996064398:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2964 on theBenchmark for (2964ds/715Mi)
% 23.63/3.92 % (3594076)Refutation not found, incomplete strategy
% 23.63/3.92 % (3594076)------------------------------
% 23.63/3.92 % (3594076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.63/3.92 % (3594076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.63/3.92 % (3594076)CaDiCaL version: 2.1.3
% 23.63/3.92 % (3594076)Termination reason: Refutation not found, incomplete strategy
% 23.63/3.92 % (3594076)Time elapsed: 0.001 s
% 23.63/3.92 % (3594076)Peak memory usage: 11 MB
% 23.63/3.92 % (3594076)Instructions burned: 1 (million)
% 23.63/3.92 % (3594076)------------------------------
% 23.63/3.92 % (3594076)------------------------------
% 23.63/3.92 % (3594015) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3593692-3594015"...
% 23.63/3.92 % (3594078)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 23.63/3.92 % (3594078)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 23.63/3.92 % (3594078)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=3264322099:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2964 on theBenchmark for (2964ds/230Mi)
% 23.63/3.92 % (3594078)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 23.63/3.92 % (3594072)Instruction limit reached!
% 23.63/3.92 % (3594072)------------------------------
% 23.63/3.92 % (3594072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.63/3.92 % (3594072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.63/3.92 % (3594072)CaDiCaL version: 2.1.3
% 23.63/3.92 % (3594072)Termination reason: Instruction limit
% 23.63/3.92 % (3594072)Termination phase: Saturation
% 23.63/3.92 % (3594072)Time elapsed: 0.141 s
% 23.63/3.92 % (3594072)Peak memory usage: 12 MB
% 23.63/3.92 % (3594072)Instructions burned: 300 (million)
% 23.63/3.92 % (3594080)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2128257176:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2963 on theBenchmark for (2963ds/606Mi)
% 23.63/3.92 % (3594074)Instruction limit reached!
% 23.63/3.92 % (3594074)------------------------------
% 23.63/3.92 % (3594074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.63/3.92 % (3594074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.63/3.92 % (3594074)CaDiCaL version: 2.1.3
% 23.63/3.92 % (3594074)Termination reason: Instruction limit
% 23.63/3.92 % (3594074)Termination phase: Saturation
% 23.63/3.92 % (3594074)Time elapsed: 0.083 s
% 23.63/3.92 % (3594074)Peak memory usage: 12 MB
% 23.63/3.92 % (3594074)Instructions burned: 177 (million)
% 23.63/3.92 % (3594082)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 23.63/3.92 % (3594082)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=1601577076:lrd=on:i=841:nm=0:rtra=on_2963 on theBenchmark for (2963ds/841Mi)
% 23.63/3.92 % (3594015)...printing done.
% 23.63/3.92 % (3594015)Refutation found. Thanks to Tanya!
% 23.63/3.92 % SZS status Unsatisfiable for theBenchmark
% 23.63/3.92 % SZS output start Proof for theBenchmark
% See solution above
% 23.63/3.99 % (3594015)------------------------------
% 23.63/3.99 % (3594015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.63/3.99 % (3594015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.63/3.99 % (3594015)CaDiCaL version: 2.1.3
% 23.63/3.99 % (3594015)Termination reason: Refutation
% 23.63/3.99 % (3594015)Time elapsed: 1.376 s
% 23.63/3.99 % (3594015)Peak memory usage: 19 MB
% 23.63/3.99 % (3594015)Instructions burned: 3486 (million)
% 23.63/3.99 % (3593692)Success in time 3.746 s
% 23.63/3.99 % Vampire exiting
%------------------------------------------------------------------------------