%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA132^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:56:25 AM UTC 2026
% Result : Unsatisfiable 30.42s 5.20s
% Output : Refutation 30.42s
% 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/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X0: $i,X3: $i,X1: $i,X2: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X3: $i,X0: $i,X4: $i,X1: $i,X2: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f9,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X3 @ X4 )
| ~ ( b @ X3 @ X0 )
| ~ ( b @ X4 @ X2 )
| ~ ( b @ X1 @ X0 )
| ~ ( b @ X3 @ X2 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X1 @ X3 ) ),
inference(rectify,[],[f7]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X3 @ X4 )
!= $true )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( ( b @ X4 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X2 @ X3 )
| ~ ( r @ X2 @ X1 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X0 @ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X2 @ X3 ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f15,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(rectify,[],[f5]) ).
thf(f17,plain,
! [X1: $i,X0: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X0: $i,X1: $i,X3: $i,X2: $i,X4: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X4 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X3 @ X4 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X3: $i,X0: $i,X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ X3 ) ) ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f22,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f15]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X2 @ X3 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) ) ),
inference(rectify,[],[f20]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f17]) ).
thf(f25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X0 @ X3 )
!= $true )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X2 @ X4 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X3 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f27,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f28,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f29,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f30,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f31,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f32,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f31,f30]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f31,f30]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) ) ),
inference(extensionality_resolution,[],[f31,f27]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X3 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X3 @ z ) ) ),
inference(constrained_superposition,[],[f32,f35]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ z ) ) ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f49,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X3 @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ z ) ) ),
inference(constrained_superposition,[],[f32,f36]) ).
thf(f50,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X3 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f49]) ).
thf(f55,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f37,f27]) ).
thf(f57,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f37,f30]) ).
thf(f58,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f37,f30]) ).
thf(f67,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f32,f57]) ).
thf(f70,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f67]) ).
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(f82,definition,
( spl0_4
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f83,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f96,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) ) ),
inference(constrained_superposition,[],[f70,f35]) ).
thf(f98,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f96]) ).
thf(f102,definition,
( spl0_5
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f103,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f105,definition,
( spl0_6
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f106,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_6 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f108,definition,
( spl0_7
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f109,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f108]) ).
thf(f110,plain,
( spl0_5
| ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f98,f108,f105,f102]) ).
thf(f111,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_6 ),
inference(constrained_superposition,[],[f106,f35]) ).
thf(f113,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f111]) ).
thf(f115,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f113,f105,f72]) ).
thf(f120,definition,
( spl0_8
<=> ! [X1: $i] :
( $true
!= ( r @ z @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f121,plain,
( ! [X1: $i] :
( $true
!= ( r @ z @ X1 ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f120]) ).
thf(f123,definition,
( spl0_9
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f124,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f126,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f103,f31]) ).
thf(f132,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f126]) ).
thf(f145,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f43,f58]) ).
thf(f146,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f32,f58]) ).
thf(f150,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f146]) ).
thf(f151,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f145]) ).
thf(f159,definition,
( spl0_12
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f160,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_12 ),
inference(avatar_component_clause,[],[f159]) ).
thf(f167,definition,
( spl0_14
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f168,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f167]) ).
thf(f169,plain,
( ~ spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f151,f167,f159]) ).
thf(f170,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_12 ),
inference(constrained_superposition,[],[f160,f36]) ).
thf(f173,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_12 ),
inference(trivial_inequality_removal,[],[f170]) ).
thf(f175,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f173,f159,f82]) ).
thf(f176,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f26,f83]) ).
thf(f177,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f176]) ).
thf(f179,definition,
( spl0_15
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ z ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f180,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f179]) ).
thf(f181,plain,
( spl0_9
| spl0_15
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f177,f82,f179,f123]) ).
thf(f185,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f150,f58]) ).
thf(f189,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ),
inference(duplicate_literal_removal,[],[f185]) ).
thf(f190,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f189]) ).
thf(f192,plain,
! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f190,f35]) ).
thf(f198,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f192]) ).
thf(f201,definition,
( spl0_16
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f202,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f201]) ).
thf(f204,definition,
( spl0_17
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f205,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f204]) ).
thf(f206,plain,
( ~ spl0_6
| spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f198,f204,f201,f105]) ).
thf(f210,definition,
( spl0_18
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f211,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f210]) ).
thf(f213,plain,
( ( $true != $true )
| ~ spl0_4
| ~ spl0_15 ),
inference(constrained_superposition,[],[f180,f83]) ).
thf(f214,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_15
| ~ spl0_16 ),
inference(constrained_superposition,[],[f180,f202]) ).
thf(f215,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f214]) ).
thf(f216,plain,
( $false
| ~ spl0_4
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f213]) ).
thf(f217,plain,
( ~ spl0_4
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f216]) ).
thf(f219,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ z @ X2 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_16 ),
inference(constrained_superposition,[],[f26,f215]) ).
thf(f220,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ z @ X2 ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f219]) ).
thf(f222,definition,
( spl0_19
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f223,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f222]) ).
thf(f224,plain,
( spl0_19
| spl0_8
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f220,f201,f179,f120,f222]) ).
thf(f225,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f168,f180]) ).
thf(f226,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f205,f31]) ).
thf(f228,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f205,f37]) ).
thf(f229,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f205,f57]) ).
thf(f230,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f229]) ).
thf(f231,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f228]) ).
thf(f233,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f226]) ).
thf(f240,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f230,f36]) ).
thf(f243,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f240]) ).
thf(f295,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_14
| ~ spl0_15 ),
inference(constrained_superposition,[],[f225,f35]) ).
thf(f300,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_14
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f295]) ).
thf(f301,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_14
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f300]) ).
thf(f304,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f233,f31]) ).
thf(f305,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f233,f36]) ).
thf(f306,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f304]) ).
thf(f307,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f305]) ).
thf(f309,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f26,f306]) ).
thf(f310,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( z = X0 ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f309]) ).
thf(f311,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f231,f36]) ).
thf(f314,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f311]) ).
thf(f334,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f26,f109]) ).
thf(f338,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f334]) ).
thf(f347,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f338,f109]) ).
thf(f353,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f347]) ).
thf(f354,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f353]) ).
thf(f358,plain,
( spl0_18
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f354,f108,f210]) ).
thf(f410,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_1 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f463,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f55,f27]) ).
thf(f465,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(extensionality_resolution,[],[f55,f30]) ).
thf(f466,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f55,f30]) ).
thf(f509,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f132,f31]) ).
thf(f510,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f509]) ).
thf(f535,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_15 ),
inference(constrained_superposition,[],[f225,f465]) ).
thf(f538,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f150,f465]) ).
thf(f542,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ z ) ) ),
inference(constrained_superposition,[],[f50,f465]) ).
thf(f543,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f43,f465]) ).
thf(f545,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f32,f465]) ).
thf(f547,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f543]) ).
thf(f549,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f545]) ).
thf(f553,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f542]) ).
thf(f555,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f535]) ).
thf(f558,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f538]) ).
thf(f561,definition,
( spl0_24
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f562,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f561]) ).
thf(f564,definition,
( spl0_25
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f565,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f564]) ).
thf(f566,plain,
( spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f547,f564,f561]) ).
thf(f571,definition,
( spl0_27
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f572,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f571]) ).
thf(f575,definition,
( spl0_28
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f576,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f575]) ).
thf(f578,definition,
( spl0_29
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f579,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f578]) ).
thf(f583,definition,
( spl0_30
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f584,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f583]) ).
thf(f585,plain,
( spl0_30
| spl0_28 ),
inference(avatar_split_clause,[],[f553,f575,f583]) ).
thf(f588,definition,
( spl0_31
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f589,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f588]) ).
thf(f590,plain,
( spl0_24
| spl0_31
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f555,f179,f167,f588,f561]) ).
thf(f593,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f558,f180]) ).
thf(f596,definition,
( spl0_32
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f597,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_32 ),
inference(avatar_component_clause,[],[f596]) ).
thf(f599,definition,
( spl0_33
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f600,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f599]) ).
thf(f602,definition,
( spl0_34
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f603,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f602]) ).
thf(f612,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f26,f562]) ).
thf(f614,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f612]) ).
thf(f616,definition,
( spl0_36
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f617,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f616]) ).
thf(f618,plain,
( spl0_8
| spl0_36
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f614,f561,f616,f120]) ).
thf(f622,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f26,f576]) ).
thf(f624,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f622]) ).
thf(f628,definition,
( spl0_37
<=> ! [X1: $i] :
( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f629,plain,
( ! [X1: $i] :
( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f628]) ).
thf(f630,plain,
( spl0_37
| spl0_36
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f624,f575,f616,f628]) ).
thf(f631,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_32 ),
inference(constrained_superposition,[],[f597,f36]) ).
thf(f633,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_32 ),
inference(trivial_inequality_removal,[],[f631]) ).
thf(f638,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f26,f572]) ).
thf(f641,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f638]) ).
thf(f644,definition,
( spl0_38
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f645,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f644]) ).
thf(f646,plain,
( spl0_38
| spl0_37
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f641,f571,f628,f644]) ).
thf(f647,plain,
( ( $true != $true )
| ~ spl0_27
| ~ spl0_37 ),
inference(constrained_superposition,[],[f629,f572]) ).
thf(f654,plain,
( ( $true != $true )
| ~ spl0_28
| ~ spl0_37 ),
inference(constrained_superposition,[],[f629,f576]) ).
thf(f660,plain,
( $false
| ~ spl0_28
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f654]) ).
thf(f661,plain,
( ~ spl0_28
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f660]) ).
thf(f662,plain,
( $false
| ~ spl0_27
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f647]) ).
thf(f663,plain,
( ~ spl0_27
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f662]) ).
thf(f695,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f593,f58]) ).
thf(f698,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f695]) ).
thf(f701,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f698,f180]) ).
thf(f703,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f701,f35]) ).
thf(f709,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f703]) ).
thf(f714,definition,
( spl0_40
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f715,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f714]) ).
thf(f717,definition,
( spl0_41
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f718,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_41 ),
inference(avatar_component_clause,[],[f717]) ).
thf(f719,plain,
( ~ spl0_6
| spl0_40
| ~ spl0_12
| ~ spl0_41
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f709,f179,f717,f159,f714,f105]) ).
thf(f720,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_41 ),
inference(constrained_superposition,[],[f718,f35]) ).
thf(f723,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_41 ),
inference(trivial_inequality_removal,[],[f720]) ).
thf(f728,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f549,f58]) ).
thf(f732,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f728]) ).
thf(f734,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f732,f180]) ).
thf(f736,definition,
( spl0_42
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f737,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f736]) ).
thf(f739,definition,
( spl0_43
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f740,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_43 ),
inference(avatar_component_clause,[],[f739]) ).
thf(f742,definition,
( spl0_44
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f743,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f742]) ).
thf(f744,plain,
( spl0_42
| ~ spl0_43
| spl0_44
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f734,f179,f742,f739,f736]) ).
thf(f747,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_43 ),
inference(constrained_superposition,[],[f740,f31]) ).
thf(f750,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f747]) ).
thf(f754,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_15
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f750,f180]) ).
thf(f757,plain,
( spl0_34
| ~ spl0_15
| spl0_43 ),
inference(avatar_split_clause,[],[f754,f739,f179,f602]) ).
thf(f762,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f737,f465]) ).
thf(f768,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f762]) ).
thf(f771,plain,
( spl0_31
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f768,f736,f588]) ).
thf(f798,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_38
| ~ spl0_44 ),
inference(constrained_superposition,[],[f645,f743]) ).
thf(f799,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_36
| ~ spl0_44 ),
inference(constrained_superposition,[],[f617,f743]) ).
thf(f809,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f799]) ).
thf(f813,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f798]) ).
thf(f833,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_17
| ~ spl0_38
| ~ spl0_44 ),
inference(constrained_superposition,[],[f813,f314]) ).
thf(f837,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_17
| ~ spl0_38
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f833]) ).
thf(f844,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_17
| ~ spl0_38
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f837,f30]) ).
thf(f847,plain,
( $false
| ~ spl0_17
| ~ spl0_36
| ~ spl0_38
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f844,f809]) ).
thf(f848,plain,
( ~ spl0_17
| ~ spl0_36
| ~ spl0_38
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f847]) ).
thf(f851,plain,
( spl0_24
| spl0_41 ),
inference(avatar_split_clause,[],[f723,f717,f561]) ).
thf(f852,plain,
( spl0_28
| spl0_32 ),
inference(avatar_split_clause,[],[f633,f596,f575]) ).
thf(f854,definition,
( spl0_46
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f855,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f854]) ).
thf(f940,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_7
| ~ spl0_9 ),
inference(constrained_superposition,[],[f124,f109]) ).
thf(f944,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f940]) ).
thf(f1128,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f190,f466]) ).
thf(f1131,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f70,f466]) ).
thf(f1133,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ z ) ) ),
inference(constrained_superposition,[],[f50,f466]) ).
thf(f1136,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f32,f466]) ).
thf(f1138,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1136]) ).
thf(f1142,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1128]) ).
thf(f1143,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1133]) ).
thf(f1144,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f1131]) ).
thf(f1153,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1142,f180]) ).
thf(f1158,definition,
( spl0_48
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f1159,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1158]) ).
thf(f1161,definition,
( spl0_49
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f1162,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f1161]) ).
thf(f1164,definition,
( spl0_50
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f1165,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_50 ),
inference(avatar_component_clause,[],[f1164]) ).
thf(f1166,plain,
( spl0_48
| spl0_49
| ~ spl0_50
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1153,f179,f1164,f1161,f1158]) ).
thf(f1168,definition,
( spl0_51
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f1169,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f1168]) ).
thf(f1177,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_9
| ~ spl0_27 ),
inference(constrained_superposition,[],[f124,f572]) ).
thf(f1182,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_9
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1177]) ).
thf(f1183,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_50 ),
inference(constrained_superposition,[],[f1165,f57]) ).
thf(f1185,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_50 ),
inference(constrained_superposition,[],[f1165,f31]) ).
thf(f1187,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_50 ),
inference(trivial_inequality_removal,[],[f1183]) ).
thf(f1188,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_50 ),
inference(trivial_inequality_removal,[],[f1185]) ).
thf(f1207,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f1138,f58]) ).
thf(f1214,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1207]) ).
thf(f1215,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1214,f180]) ).
thf(f1217,definition,
( spl0_53
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f1218,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f1217]) ).
thf(f1219,plain,
( spl0_53
| ~ spl0_43
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1215,f179,f739,f1217]) ).
thf(f1224,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f1218,f466]) ).
thf(f1231,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_53 ),
inference(duplicate_literal_removal,[],[f1224]) ).
thf(f1232,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f1231]) ).
thf(f1234,plain,
( ~ spl0_43
| spl0_48
| spl0_49
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f1232,f1217,f1161,f1158,f739]) ).
thf(f1261,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ X1 ) )
| ( z = X1 )
| ( ( s @ z )
= X1 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f510,f31]) ).
thf(f1263,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ X1 ) )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1261]) ).
thf(f1271,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( z = X0 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( z = X1 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f310,f306]) ).
thf(f1275,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f1271]) ).
thf(f1374,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( X0 = X1 )
| ( z = X1 )
| ( z = X0 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
= $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f1263,f31]) ).
thf(f1385,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X1 )
| ( $true
= ( r @ z @ X1 ) )
| ( X0 = X1 )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1374]) ).
thf(f1577,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_17
| ~ spl0_27 ),
inference(constrained_superposition,[],[f1275,f572]) ).
thf(f1593,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_17
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1577]) ).
thf(f1612,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1593,f1182]) ).
thf(f1621,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_9
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1612,f30]) ).
thf(f1626,definition,
( spl0_54
<=> ! [X1: $i] :
( ( ( s @ z )
= X1 )
| ( z = X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f1627,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f1626]) ).
thf(f1630,plain,
( spl0_54
| spl0_34
| ~ spl0_9
| ~ spl0_17
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1621,f571,f204,f123,f602,f1626]) ).
thf(f1633,plain,
( spl0_27
| spl0_50 ),
inference(avatar_split_clause,[],[f1187,f1164,f571]) ).
thf(f1635,plain,
( spl0_27
| spl0_34
| spl0_50 ),
inference(avatar_split_clause,[],[f1188,f1164,f602,f571]) ).
thf(f1922,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,[],[f463,f30]) ).
thf(f2859,definition,
( spl0_58
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f2860,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f2859]) ).
thf(f2862,definition,
( spl0_59
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f2863,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f2862]) ).
thf(f3534,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f150,f1922]) ).
thf(f3545,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(constrained_superposition,[],[f32,f1922]) ).
thf(f3555,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f3534]) ).
thf(f3558,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f3545]) ).
thf(f3579,definition,
( spl0_66
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f3580,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f3579]) ).
thf(f3582,definition,
( spl0_67
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
thf(f3583,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_67 ),
inference(avatar_component_clause,[],[f3582]) ).
thf(f3585,definition,
( spl0_68
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f3586,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f3585]) ).
thf(f3589,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_67 ),
inference(constrained_superposition,[],[f3583,f36]) ).
thf(f3591,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_67 ),
inference(trivial_inequality_removal,[],[f3589]) ).
thf(f3623,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ),
inference(constrained_superposition,[],[f3558,f58]) ).
thf(f3624,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f3623]) ).
thf(f3631,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f3624,f180]) ).
thf(f3633,definition,
( spl0_69
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f3634,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f3633]) ).
thf(f3636,definition,
( spl0_70
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f3637,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_70 ),
inference(avatar_component_clause,[],[f3636]) ).
thf(f3638,plain,
( spl0_68
| spl0_69
| ~ spl0_70
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f3631,f179,f3636,f3633,f3585]) ).
thf(f3641,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_70 ),
inference(constrained_superposition,[],[f3637,f31]) ).
thf(f3643,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_70 ),
inference(trivial_inequality_removal,[],[f3641]) ).
thf(f3646,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| spl0_70 ),
inference(forward_subsumption_resolution,[],[f3643,f180]) ).
thf(f3651,plain,
( spl0_66
| ~ spl0_15
| spl0_70 ),
inference(avatar_split_clause,[],[f3646,f3636,f179,f3579]) ).
thf(f3772,definition,
( spl0_71
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f3773,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_71 ),
inference(avatar_component_clause,[],[f3772]) ).
thf(f3811,definition,
( spl0_74
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f3812,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f3811]) ).
thf(f3841,definition,
( spl0_77
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
thf(f3842,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f3841]) ).
thf(f3856,plain,
( spl0_74
| spl0_67 ),
inference(avatar_split_clause,[],[f3591,f3582,f3811]) ).
thf(f3861,definition,
( spl0_78
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
thf(f3862,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f3861]) ).
thf(f3863,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_27 ),
inference(avatar_component_clause,[],[f571]) ).
thf(f3955,definition,
( spl0_83
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f3956,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f3955]) ).
thf(f3965,definition,
( spl0_86
<=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
thf(f3966,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_86 ),
inference(avatar_component_clause,[],[f3965]) ).
thf(f3971,definition,
( spl0_87
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
thf(f3972,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f3971]) ).
thf(f3974,definition,
( spl0_88
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
thf(f3975,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f3974]) ).
thf(f4027,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_24 ),
inference(avatar_component_clause,[],[f561]) ).
thf(f4045,definition,
( spl0_93
<=> ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
thf(f4046,plain,
( ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f4045]) ).
thf(f4099,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_37 ),
inference(constrained_superposition,[],[f629,f109]) ).
thf(f4100,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_17
| ~ spl0_37 ),
inference(constrained_superposition,[],[f629,f307]) ).
thf(f4138,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_17
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f4100]) ).
thf(f4140,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f4099]) ).
thf(f4160,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_17
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f4138,f629]) ).
thf(f4162,plain,
( spl0_24
| ~ spl0_7
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f4140,f628,f108,f561]) ).
thf(f4172,definition,
( spl0_97
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
thf(f4173,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f4172]) ).
thf(f4183,plain,
( spl0_34
| ~ spl0_17
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f4160,f628,f204,f602]) ).
thf(f4209,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_74 ),
inference(constrained_superposition,[],[f944,f3812]) ).
thf(f4220,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_74 ),
inference(constrained_superposition,[],[f26,f3812]) ).
thf(f4222,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f4209]) ).
thf(f4234,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f4220]) ).
thf(f4237,plain,
( spl0_87
| ~ spl0_7
| ~ spl0_9
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f4222,f3811,f123,f108,f3971]) ).
thf(f4253,definition,
( spl0_100
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
thf(f4254,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f4253]) ).
thf(f4255,plain,
( spl0_59
| spl0_100
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f4234,f3811,f4253,f2862]) ).
thf(f4260,definition,
( spl0_101
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
thf(f4261,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f4260]) ).
thf(f4295,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_86 ),
inference(constrained_superposition,[],[f3966,f35]) ).
thf(f4298,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_86 ),
inference(trivial_inequality_removal,[],[f4295]) ).
thf(f4318,plain,
( ( $true != $true )
| ~ spl0_59
| ~ spl0_74 ),
inference(constrained_superposition,[],[f2863,f3812]) ).
thf(f4346,plain,
( $false
| ~ spl0_59
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f4318]) ).
thf(f4347,plain,
( ~ spl0_59
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f4346]) ).
thf(f4353,definition,
( spl0_102
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
thf(f4354,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f4353]) ).
thf(f4448,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_17
| spl0_27 ),
inference(constrained_superposition,[],[f3863,f243]) ).
thf(f4449,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_7
| spl0_27 ),
inference(constrained_superposition,[],[f3863,f109]) ).
thf(f4458,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_5
| spl0_27 ),
inference(constrained_superposition,[],[f3863,f1385]) ).
thf(f4465,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_5
| spl0_27 ),
inference(trivial_inequality_removal,[],[f4458]) ).
thf(f4469,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_7
| spl0_27 ),
inference(trivial_inequality_removal,[],[f4449]) ).
thf(f4471,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_17
| spl0_27 ),
inference(trivial_inequality_removal,[],[f4448]) ).
thf(f4486,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) ) )
| ~ spl0_5
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f4465,f30]) ).
thf(f4490,plain,
( $false
| ~ spl0_7
| spl0_24
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f4469,f4027]) ).
thf(f4491,plain,
( ~ spl0_7
| spl0_24
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f4490]) ).
thf(f4501,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_5
| spl0_24
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f4486,f4027]) ).
thf(f4507,plain,
( spl0_97
| spl0_34
| ~ spl0_5
| spl0_24
| spl0_27 ),
inference(avatar_split_clause,[],[f4501,f571,f561,f102,f602,f4172]) ).
thf(f4515,plain,
( spl0_28
| ~ spl0_17
| spl0_27 ),
inference(avatar_split_clause,[],[f4471,f571,f204,f575]) ).
thf(f4591,definition,
( spl0_109
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
thf(f4592,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) ) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f4591]) ).
thf(f4594,definition,
( spl0_110
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
thf(f4595,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f4594]) ).
thf(f4596,plain,
( spl0_109
| spl0_110
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1143,f596,f4594,f4591]) ).
thf(f4603,definition,
( spl0_112
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
thf(f4604,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f4603]) ).
thf(f4639,definition,
( spl0_119
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
thf(f4640,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_119 ),
inference(avatar_component_clause,[],[f4639]) ).
thf(f4658,definition,
( spl0_121
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
thf(f4659,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f4658]) ).
thf(f4660,plain,
( spl0_51
| spl0_121
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f1144,f1164,f4658,f1168]) ).
thf(f4688,plain,
( spl0_87
| spl0_86 ),
inference(avatar_split_clause,[],[f4298,f3965,f3971]) ).
thf(f4719,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_119 ),
inference(constrained_superposition,[],[f4640,f466]) ).
thf(f4722,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_119 ),
inference(constrained_superposition,[],[f4640,f31]) ).
thf(f4725,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_119 ),
inference(trivial_inequality_removal,[],[f4722]) ).
thf(f4726,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_119 ),
inference(trivial_inequality_removal,[],[f4719]) ).
thf(f4727,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f1159,f31]) ).
thf(f4731,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f1159,f465]) ).
thf(f4733,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f4727]) ).
thf(f4734,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f4731]) ).
thf(f4739,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_100
| ~ spl0_112 ),
inference(constrained_superposition,[],[f4254,f4604]) ).
thf(f4745,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_100
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f4739]) ).
thf(f4749,plain,
( $false
| ~ spl0_28
| ~ spl0_100
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f4745,f576]) ).
thf(f4750,plain,
( ~ spl0_28
| ~ spl0_100
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f4749]) ).
thf(f4848,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_88 ),
inference(constrained_superposition,[],[f3975,f58]) ).
thf(f4851,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f4848]) ).
thf(f4854,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_15
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f4851,f180]) ).
thf(f4904,definition,
( spl0_123
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
thf(f4905,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f4904]) ).
thf(f4906,plain,
( spl0_123
| spl0_17
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f301,f179,f167,f159,f204,f4904]) ).
thf(f4918,plain,
( ( $true != $true )
| spl0_24
| ~ spl0_123 ),
inference(constrained_superposition,[],[f4027,f4905]) ).
thf(f4923,plain,
( $false
| spl0_24
| ~ spl0_123 ),
inference(trivial_inequality_removal,[],[f4918]) ).
thf(f4924,plain,
( spl0_24
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f4923]) ).
thf(f4930,plain,
( spl0_29
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f4734,f1158,f578]) ).
thf(f4939,definition,
( spl0_126
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
thf(f4940,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f4939]) ).
thf(f4947,definition,
( spl0_128
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
thf(f4948,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f4947]) ).
thf(f4956,plain,
( spl0_112
| spl0_119 ),
inference(avatar_split_clause,[],[f4726,f4639,f4603]) ).
thf(f4959,definition,
( spl0_129
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
thf(f4960,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f4959]) ).
thf(f4961,plain,
( spl0_112
| spl0_129
| spl0_119 ),
inference(avatar_split_clause,[],[f4725,f4639,f4959,f4603]) ).
thf(f4963,plain,
( ( $true != $true )
| ~ spl0_1
| ~ spl0_8 ),
inference(constrained_superposition,[],[f121,f73]) ).
thf(f4968,plain,
( $false
| ~ spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f4963]) ).
thf(f4969,plain,
( ~ spl0_1
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f4968]) ).
thf(f4994,plain,
( ( $true != $true )
| ~ spl0_59
| ~ spl0_128 ),
inference(constrained_superposition,[],[f2863,f4948]) ).
thf(f5009,plain,
( $false
| ~ spl0_59
| ~ spl0_128 ),
inference(trivial_inequality_removal,[],[f4994]) ).
thf(f5010,plain,
( ~ spl0_59
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f5009]) ).
thf(f5050,definition,
( spl0_130
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
thf(f5051,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f5050]) ).
thf(f5085,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_123
| ~ spl0_126 ),
inference(constrained_superposition,[],[f4940,f4905]) ).
thf(f5089,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_123
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f5085]) ).
thf(f5093,plain,
( $false
| ~ spl0_123
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f5089,f4905]) ).
thf(f5094,plain,
( ~ spl0_123
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f5093]) ).
thf(f5101,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f579,f57]) ).
thf(f5105,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f5101]) ).
thf(f5108,plain,
( spl0_33
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f5105,f578,f599]) ).
thf(f5123,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f589,f58]) ).
thf(f5128,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f5123]) ).
thf(f5131,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f5128,f180]) ).
thf(f5207,definition,
( spl0_136
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
thf(f5208,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_136 ),
inference(avatar_component_clause,[],[f5207]) ).
thf(f5760,definition,
( spl0_139
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
thf(f5761,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f5760]) ).
thf(f5784,definition,
( spl0_143
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f5785,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f5784]) ).
thf(f5824,definition,
( spl0_147
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
thf(f5825,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f5824]) ).
thf(f6034,plain,
( ( ( s @ z )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_66 ),
inference(avatar_component_clause,[],[f3579]) ).
thf(f6522,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f4733,f31]) ).
thf(f6529,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f6522]) ).
thf(f6530,plain,
( spl0_93
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f6529,f1158,f4045]) ).
thf(f6620,definition,
( spl0_160
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f6621,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f6620]) ).
thf(f7471,definition,
( spl0_165
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
thf(f7472,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f7471]) ).
thf(f7534,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f202,f180]) ).
thf(f7546,plain,
( spl0_123
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f7534,f201,f179,f4904]) ).
thf(f7579,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f205,f31]) ).
thf(f7581,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f205,f37]) ).
thf(f7585,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f7579]) ).
thf(f7586,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f7581]) ).
thf(f7594,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f26,f1162]) ).
thf(f7596,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f7594]) ).
thf(f7599,plain,
( spl0_37
| spl0_165
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f7596,f1161,f7471,f628]) ).
thf(f8065,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f4592,f465]) ).
thf(f8071,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f8065]) ).
thf(f8125,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f1159,f35]) ).
thf(f8133,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f8125]) ).
thf(f8510,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f7585,f31]) ).
thf(f8512,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f8510]) ).
thf(f8522,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f7586,f36]) ).
thf(f8525,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f8522]) ).
thf(f8761,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ z ) )
| spl0_34 ),
inference(avatar_component_clause,[],[f602]) ).
thf(f8791,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_34 ),
inference(extensionality_resolution,[],[f463,f8761]) ).
thf(f8792,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_34 ),
inference(extensionality_resolution,[],[f463,f8761]) ).
thf(f8794,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_34 ),
inference(extensionality_resolution,[],[f55,f8761]) ).
thf(f8800,definition,
( spl0_180
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
thf(f8801,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f8800]) ).
thf(f8803,definition,
( spl0_181
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
thf(f8804,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f8803]) ).
thf(f8805,plain,
( spl0_180
| spl0_181
| spl0_34 ),
inference(avatar_split_clause,[],[f8792,f602,f8803,f8800]) ).
thf(f8807,definition,
( spl0_182
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
thf(f8808,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f8807]) ).
thf(f8810,definition,
( spl0_183
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f8811,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f8810]) ).
thf(f8812,plain,
( spl0_182
| spl0_183
| spl0_34 ),
inference(avatar_split_clause,[],[f8794,f602,f8810,f8807]) ).
thf(f8814,definition,
( spl0_184
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
thf(f8815,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f8814]) ).
thf(f8817,definition,
( spl0_185
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
thf(f8818,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f8817]) ).
thf(f8819,plain,
( spl0_184
| spl0_185
| spl0_34 ),
inference(avatar_split_clause,[],[f8791,f602,f8817,f8814]) ).
thf(f8820,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_109
| ~ spl0_183 ),
inference(constrained_superposition,[],[f8071,f8811]) ).
thf(f8834,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f190,f8811]) ).
thf(f8846,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f8834]) ).
thf(f8856,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_109
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f8820]) ).
thf(f8861,definition,
( spl0_186
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f8862,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f8861]) ).
thf(f8865,definition,
( spl0_187
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f8866,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f8865]) ).
thf(f8870,definition,
( spl0_188
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
thf(f8871,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f8870]) ).
thf(f8873,definition,
( spl0_189
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
thf(f8874,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f8873]) ).
thf(f8877,definition,
( spl0_190
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f8878,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_190 ),
inference(avatar_component_clause,[],[f8877]) ).
thf(f8880,definition,
( spl0_191
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f8881,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f8880]) ).
thf(f8883,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f8846,f180]) ).
thf(f8886,definition,
( spl0_192
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f8887,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_192 ),
inference(avatar_component_clause,[],[f8886]) ).
thf(f8891,definition,
( spl0_193
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f8892,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f8891]) ).
thf(f8895,definition,
( spl0_194
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f8896,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_194 ),
inference(avatar_component_clause,[],[f8895]) ).
thf(f8897,plain,
( ~ spl0_190
| spl0_128
| ~ spl0_194
| ~ spl0_109
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f8856,f8810,f4591,f8895,f4947,f8877]) ).
thf(f8900,definition,
( spl0_195
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
thf(f8901,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f8900]) ).
thf(f8903,definition,
( spl0_196
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
thf(f8904,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f8903]) ).
thf(f8906,plain,
( ~ spl0_71
| spl0_139
| ~ spl0_15
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f8883,f8810,f179,f5760,f3772]) ).
thf(f8908,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_18
| ~ spl0_182 ),
inference(constrained_superposition,[],[f211,f8808]) ).
thf(f8910,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f8908]) ).
thf(f8913,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_77 ),
inference(avatar_component_clause,[],[f3841]) ).
thf(f8914,plain,
( ~ spl0_77
| spl0_188
| ~ spl0_18
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f8910,f8807,f210,f8870,f3841]) ).
thf(f8916,definition,
( spl0_197
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
thf(f8917,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f8916]) ).
thf(f8921,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_17
| spl0_77 ),
inference(constrained_superposition,[],[f8913,f8512]) ).
thf(f8924,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_17
| spl0_77 ),
inference(trivial_inequality_removal,[],[f8921]) ).
thf(f8927,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_17
| spl0_77 ),
inference(forward_subsumption_resolution,[],[f8924,f30]) ).
thf(f8930,plain,
( spl0_74
| spl0_66
| ~ spl0_17
| spl0_77 ),
inference(avatar_split_clause,[],[f8927,f3841,f204,f3579,f3811]) ).
thf(f8990,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f466,f3580]) ).
thf(f9104,definition,
( spl0_198
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
thf(f9105,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f9104]) ).
thf(f9114,definition,
( spl0_199
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
thf(f9115,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f9114]) ).
thf(f9117,definition,
( spl0_200
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
thf(f9118,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_200 ),
inference(avatar_component_clause,[],[f9117]) ).
thf(f9150,definition,
( spl0_201
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
thf(f9151,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f9150]) ).
thf(f9156,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f8990,f28]) ).
thf(f9187,plain,
( $false
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f9156,f29]) ).
thf(f9188,plain,
~ spl0_66,
inference(avatar_contradiction_clause,[],[f9187]) ).
thf(f9197,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_66 ),
inference(extensionality_resolution,[],[f463,f6034]) ).
thf(f9198,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_66 ),
inference(extensionality_resolution,[],[f55,f6034]) ).
thf(f9205,definition,
( spl0_202
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f9206,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f9205]) ).
thf(f9208,definition,
( spl0_203
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f9209,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f9208]) ).
thf(f9210,plain,
( spl0_202
| spl0_203
| spl0_66 ),
inference(avatar_split_clause,[],[f9198,f3579,f9208,f9205]) ).
thf(f9219,definition,
( spl0_206
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).
thf(f9220,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f9219]) ).
thf(f9222,definition,
( spl0_207
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f9223,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f9222]) ).
thf(f9224,plain,
( spl0_206
| spl0_207
| spl0_66 ),
inference(avatar_split_clause,[],[f9197,f3579,f9222,f9219]) ).
thf(f9225,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_165
| ~ spl0_188 ),
inference(constrained_superposition,[],[f7472,f8871]) ).
thf(f9227,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_165
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f9225]) ).
thf(f9229,plain,
( $false
| ~ spl0_24
| ~ spl0_165
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f9227,f562]) ).
thf(f9230,plain,
( ~ spl0_24
| ~ spl0_165
| ~ spl0_188 ),
inference(avatar_contradiction_clause,[],[f9229]) ).
thf(f9232,definition,
( spl0_208
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
thf(f9233,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f9232]) ).
thf(f9235,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_71 ),
inference(constrained_superposition,[],[f3773,f57]) ).
thf(f9237,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_71 ),
inference(constrained_superposition,[],[f3773,f31]) ).
thf(f9238,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_71 ),
inference(trivial_inequality_removal,[],[f9237]) ).
thf(f9240,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_71 ),
inference(trivial_inequality_removal,[],[f9235]) ).
thf(f9241,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f26,f8862]) ).
thf(f9242,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f9241]) ).
thf(f9244,definition,
( spl0_209
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f9245,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f9244]) ).
thf(f9246,plain,
( spl0_208
| spl0_209
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f9242,f8861,f9244,f9232]) ).
thf(f9247,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_190 ),
inference(constrained_superposition,[],[f8878,f36]) ).
thf(f9249,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_190 ),
inference(trivial_inequality_removal,[],[f9247]) ).
thf(f9256,plain,
( ( $true != $true )
| ~ spl0_186
| ~ spl0_209 ),
inference(constrained_superposition,[],[f9245,f8862]) ).
thf(f9261,plain,
( $false
| ~ spl0_186
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f9256]) ).
thf(f9262,plain,
( ~ spl0_186
| ~ spl0_209 ),
inference(avatar_contradiction_clause,[],[f9261]) ).
thf(f9267,definition,
( spl0_210
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
thf(f9268,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f9267]) ).
thf(f9270,definition,
( spl0_211
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
thf(f9271,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f9270]) ).
thf(f9277,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_136 ),
inference(constrained_superposition,[],[f5208,f37]) ).
thf(f9278,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_136 ),
inference(constrained_superposition,[],[f5208,f31]) ).
thf(f9279,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_136 ),
inference(trivial_inequality_removal,[],[f9278]) ).
thf(f9280,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_136 ),
inference(trivial_inequality_removal,[],[f9277]) ).
thf(f9283,plain,
( spl0_129
| spl0_128
| spl0_136 ),
inference(avatar_split_clause,[],[f9279,f5207,f4947,f4959]) ).
thf(f9284,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_34
| spl0_136 ),
inference(forward_subsumption_resolution,[],[f9280,f8761]) ).
thf(f9287,plain,
( spl0_128
| spl0_34
| spl0_136 ),
inference(avatar_split_clause,[],[f9284,f5207,f602,f4947]) ).
thf(f9289,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_187 ),
inference(constrained_superposition,[],[f617,f8866]) ).
thf(f9294,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f9289]) ).
thf(f9296,plain,
( $false
| ~ spl0_36
| ~ spl0_186
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f9294,f8862]) ).
thf(f9297,plain,
( ~ spl0_36
| ~ spl0_186
| ~ spl0_187 ),
inference(avatar_contradiction_clause,[],[f9296]) ).
thf(f9298,plain,
( spl0_186
| spl0_190 ),
inference(avatar_split_clause,[],[f9249,f8877,f8861]) ).
thf(f9302,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_192 ),
inference(constrained_superposition,[],[f8887,f37]) ).
thf(f9303,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_192 ),
inference(constrained_superposition,[],[f8887,f31]) ).
thf(f9305,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_192 ),
inference(trivial_inequality_removal,[],[f9302]) ).
thf(f9307,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_192 ),
inference(trivial_inequality_removal,[],[f9303]) ).
thf(f9308,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_194 ),
inference(constrained_superposition,[],[f8896,f466]) ).
thf(f9312,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_194 ),
inference(trivial_inequality_removal,[],[f9308]) ).
thf(f9332,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f50,f8811]) ).
thf(f9349,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f9332]) ).
thf(f9355,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_36
| ~ spl0_183
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f9349,f9294]) ).
thf(f9358,plain,
( ~ spl0_67
| spl0_147
| ~ spl0_36
| ~ spl0_183
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f9355,f8865,f8810,f616,f5824,f3582]) ).
thf(f9366,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f5761,f35]) ).
thf(f9371,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f5761,f466]) ).
thf(f9376,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f9366]) ).
thf(f9378,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f9371]) ).
thf(f9381,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_49
| ~ spl0_208 ),
inference(constrained_superposition,[],[f9233,f1162]) ).
thf(f9386,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_49
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f9381]) ).
thf(f9389,plain,
( $false
| ~ spl0_28
| ~ spl0_49
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f9386,f576]) ).
thf(f9390,plain,
( ~ spl0_28
| ~ spl0_49
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f9389]) ).
thf(f9408,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_18
| ~ spl0_202 ),
inference(constrained_superposition,[],[f211,f9206]) ).
thf(f9412,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_18
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f9408]) ).
thf(f9414,definition,
( spl0_212
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).
thf(f9415,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f9414]) ).
thf(f9417,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_18
| ~ spl0_77
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[],[f9412,f3842]) ).
thf(f9423,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_77
| ~ spl0_202 ),
inference(constrained_superposition,[],[f26,f9417]) ).
thf(f9425,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_18
| ~ spl0_77
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f9423]) ).
thf(f9429,definition,
( spl0_213
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
thf(f9430,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f9429]) ).
thf(f9431,plain,
( spl0_213
| spl0_8
| ~ spl0_18
| ~ spl0_77
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f9425,f9205,f3841,f210,f120,f9429]) ).
thf(f9432,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_109
| ~ spl0_203 ),
inference(constrained_superposition,[],[f8071,f9209]) ).
thf(f9459,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_109
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f9432]) ).
thf(f9471,definition,
( spl0_214
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
thf(f9472,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f9471]) ).
thf(f9475,definition,
( spl0_215
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).
thf(f9476,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_215 ),
inference(avatar_component_clause,[],[f9475]) ).
thf(f9478,definition,
( spl0_216
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f9479,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_216 ),
inference(avatar_component_clause,[],[f9478]) ).
thf(f9480,plain,
( ~ spl0_215
| ~ spl0_216
| spl0_128
| ~ spl0_109
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f9459,f9208,f4591,f4947,f9478,f9475]) ).
thf(f9482,definition,
( spl0_217
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).
thf(f9483,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f9482]) ).
thf(f9485,definition,
( spl0_218
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
thf(f9486,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_218 ),
inference(avatar_component_clause,[],[f9485]) ).
thf(f9489,definition,
( spl0_219
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
thf(f9490,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f9489]) ).
thf(f9492,definition,
( spl0_220
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).
thf(f9493,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f9492]) ).
thf(f9496,definition,
( spl0_221
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
thf(f9497,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f9496]) ).
thf(f9500,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_214 ),
inference(constrained_superposition,[],[f617,f9472]) ).
thf(f9505,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f9500]) ).
thf(f9515,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_218 ),
inference(constrained_superposition,[],[f9486,f465]) ).
thf(f9518,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_218 ),
inference(constrained_superposition,[],[f9486,f31]) ).
thf(f9520,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_218 ),
inference(trivial_inequality_removal,[],[f9518]) ).
thf(f9521,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_218 ),
inference(trivial_inequality_removal,[],[f9515]) ).
thf(f9524,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_18
| ~ spl0_180 ),
inference(constrained_superposition,[],[f211,f8801]) ).
thf(f9526,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_18
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f9524]) ).
thf(f9529,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_196 ),
inference(avatar_component_clause,[],[f8903]) ).
thf(f9530,plain,
( spl0_219
| ~ spl0_196
| ~ spl0_18
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f9526,f8800,f210,f8903,f9489]) ).
thf(f9532,definition,
( spl0_222
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f9533,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f9532]) ).
thf(f9550,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f190,f8804]) ).
thf(f9572,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f9550]) ).
thf(f9576,definition,
( spl0_223
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f9577,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f9576]) ).
thf(f9583,definition,
( spl0_224
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f9584,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_224 ),
inference(avatar_component_clause,[],[f9583]) ).
thf(f9586,definition,
( spl0_225
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).
thf(f9587,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f9586]) ).
thf(f9590,definition,
( spl0_226
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).
thf(f9591,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f9590]) ).
thf(f9593,definition,
( spl0_227
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f9594,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_227 ),
inference(avatar_component_clause,[],[f9593]) ).
thf(f9597,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f9572,f180]) ).
thf(f9599,definition,
( spl0_228
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
thf(f9600,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f9599]) ).
thf(f9604,definition,
( spl0_229
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).
thf(f9605,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f9604]) ).
thf(f9607,plain,
( spl0_199
| ~ spl0_224
| ~ spl0_15
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f9597,f8803,f179,f9583,f9114]) ).
thf(f9609,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_200 ),
inference(constrained_superposition,[],[f9118,f37]) ).
thf(f9612,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_200 ),
inference(trivial_inequality_removal,[],[f9609]) ).
thf(f9615,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_200 ),
inference(forward_subsumption_resolution,[],[f9612,f30]) ).
thf(f9619,plain,
( $false
| ~ spl0_15
| spl0_200 ),
inference(forward_subsumption_resolution,[],[f9615,f180]) ).
thf(f9620,plain,
( ~ spl0_15
| spl0_200 ),
inference(avatar_contradiction_clause,[],[f9619]) ).
thf(f9625,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_66
| spl0_192 ),
inference(forward_subsumption_resolution,[],[f9305,f6034]) ).
thf(f9626,plain,
( spl0_187
| spl0_211
| spl0_192 ),
inference(avatar_split_clause,[],[f9307,f8886,f9270,f8865]) ).
thf(f9627,plain,
( spl0_187
| spl0_66
| spl0_192 ),
inference(avatar_split_clause,[],[f9625,f8886,f3579,f8865]) ).
thf(f9649,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f466,f9271]) ).
thf(f9805,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f9649,f29]) ).
thf(f9821,plain,
( $false
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f9805,f28]) ).
thf(f9822,plain,
~ spl0_211,
inference(avatar_contradiction_clause,[],[f9821]) ).
thf(f9828,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_17
| spl0_196 ),
inference(constrained_superposition,[],[f9529,f8512]) ).
thf(f9830,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_17
| spl0_196 ),
inference(trivial_inequality_removal,[],[f9828]) ).
thf(f9832,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_17
| spl0_196 ),
inference(forward_subsumption_resolution,[],[f9830,f30]) ).
thf(f9834,plain,
( spl0_210
| spl0_186
| ~ spl0_17
| spl0_196 ),
inference(avatar_split_clause,[],[f9832,f8903,f204,f8861,f9267]) ).
thf(f9847,definition,
( spl0_230
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
thf(f9848,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f9847]) ).
thf(f9850,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_224 ),
inference(constrained_superposition,[],[f9584,f57]) ).
thf(f9852,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_224 ),
inference(constrained_superposition,[],[f9584,f31]) ).
thf(f9853,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_224 ),
inference(trivial_inequality_removal,[],[f9852]) ).
thf(f9855,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_224 ),
inference(trivial_inequality_removal,[],[f9850]) ).
thf(f9856,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_227 ),
inference(constrained_superposition,[],[f9594,f1922]) ).
thf(f9858,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_227 ),
inference(constrained_superposition,[],[f9594,f55]) ).
thf(f9861,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_227 ),
inference(trivial_inequality_removal,[],[f9856]) ).
thf(f9864,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_227 ),
inference(trivial_inequality_removal,[],[f9858]) ).
thf(f9866,plain,
( spl0_193
| spl0_227 ),
inference(avatar_split_clause,[],[f9861,f9593,f8891]) ).
thf(f9868,definition,
( spl0_231
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).
thf(f9869,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f9868]) ).
thf(f9872,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_34
| spl0_227 ),
inference(forward_subsumption_resolution,[],[f9864,f8761]) ).
thf(f9874,plain,
( spl0_193
| spl0_34
| spl0_227 ),
inference(avatar_split_clause,[],[f9872,f9593,f602,f8891]) ).
thf(f9875,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_58
| ~ spl0_193 ),
inference(constrained_superposition,[],[f2860,f8892]) ).
thf(f9877,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| ~ spl0_193 ),
inference(constrained_superposition,[],[f211,f8892]) ).
thf(f9881,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_58
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f9875]) ).
thf(f9882,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f9877]) ).
thf(f9884,plain,
( $false
| ~ spl0_58
| ~ spl0_193
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f9881,f8904]) ).
thf(f9885,plain,
( ~ spl0_58
| ~ spl0_193
| ~ spl0_196 ),
inference(avatar_contradiction_clause,[],[f9884]) ).
thf(f9886,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18
| ~ spl0_193
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f9882,f8904]) ).
thf(f9887,plain,
( spl0_87
| ~ spl0_18
| ~ spl0_193
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f9886,f8903,f8891,f210,f3971]) ).
thf(f9888,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_58
| ~ spl0_225 ),
inference(constrained_superposition,[],[f2860,f9587]) ).
thf(f9895,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_58
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f9888]) ).
thf(f9899,definition,
( spl0_232
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
thf(f9900,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f9899]) ).
thf(f9902,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_228 ),
inference(avatar_component_clause,[],[f9599]) ).
thf(f9904,plain,
( ~ spl0_228
| ~ spl0_58
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f9895,f9586,f2859,f9599]) ).
thf(f9911,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f9115,f466]) ).
thf(f9918,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f9911]) ).
thf(f9927,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_109
| ~ spl0_181 ),
inference(constrained_superposition,[],[f8071,f8804]) ).
thf(f9943,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f50,f8804]) ).
thf(f9946,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_109
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f9927]) ).
thf(f9954,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f9943]) ).
thf(f9965,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_36
| ~ spl0_181
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f9954,f9505]) ).
thf(f9968,plain,
( ~ spl0_190
| spl0_229
| ~ spl0_36
| ~ spl0_181
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f9965,f9471,f8803,f616,f9604,f8877]) ).
thf(f9969,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_230 ),
inference(constrained_superposition,[],[f9848,f8818]) ).
thf(f9971,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| ~ spl0_185 ),
inference(constrained_superposition,[],[f211,f8818]) ).
thf(f9974,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_18
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f9971]) ).
thf(f9976,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_185
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f9969]) ).
thf(f9978,plain,
( ~ spl0_228
| spl0_188
| ~ spl0_18
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f9974,f8817,f210,f8870,f9599]) ).
thf(f9981,plain,
( ~ spl0_228
| ~ spl0_185
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f9976,f9847,f8817,f9599]) ).
thf(f9984,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_184
| ~ spl0_199 ),
inference(constrained_superposition,[],[f9115,f8815]) ).
thf(f9996,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f190,f8815]) ).
thf(f10002,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f9996]) ).
thf(f10008,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_184
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f9984]) ).
thf(f10022,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_15
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f10002,f180]) ).
thf(f10024,definition,
( spl0_233
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).
thf(f10025,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_233 ),
inference(avatar_component_clause,[],[f10024]) ).
thf(f10028,definition,
( spl0_234
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
thf(f10029,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_234 ),
inference(avatar_component_clause,[],[f10028]) ).
thf(f10031,definition,
( spl0_235
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
thf(f10032,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f10031]) ).
thf(f10036,definition,
( spl0_236
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).
thf(f10037,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_236 ),
inference(avatar_component_clause,[],[f10036]) ).
thf(f10039,definition,
( spl0_237
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).
thf(f10040,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f10039]) ).
thf(f10042,plain,
( ~ spl0_233
| ~ spl0_184
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f10008,f9114,f8814,f10024]) ).
thf(f10046,definition,
( spl0_238
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
thf(f10047,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f10046]) ).
thf(f10049,plain,
( spl0_235
| ~ spl0_233
| ~ spl0_15
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f10022,f8814,f179,f10024,f10031]) ).
thf(f10052,definition,
( spl0_239
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).
thf(f10053,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f10052]) ).
thf(f10055,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_215 ),
inference(constrained_superposition,[],[f9476,f36]) ).
thf(f10056,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_215 ),
inference(constrained_superposition,[],[f9476,f31]) ).
thf(f10057,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_215 ),
inference(trivial_inequality_removal,[],[f10055]) ).
thf(f10058,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_215 ),
inference(trivial_inequality_removal,[],[f10056]) ).
thf(f10061,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_215 ),
inference(forward_subsumption_resolution,[],[f10058,f30]) ).
thf(f10062,plain,
( $false
| ~ spl0_36
| ~ spl0_214
| spl0_215 ),
inference(forward_subsumption_resolution,[],[f10061,f9505]) ).
thf(f10063,plain,
( ~ spl0_36
| ~ spl0_214
| spl0_215 ),
inference(avatar_contradiction_clause,[],[f10062]) ).
thf(f10065,plain,
( spl0_214
| spl0_218 ),
inference(avatar_split_clause,[],[f9521,f9485,f9471]) ).
thf(f10066,plain,
( spl0_221
| spl0_215 ),
inference(avatar_split_clause,[],[f10057,f9475,f9496]) ).
thf(f10071,definition,
( spl0_240
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).
thf(f10072,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f10071]) ).
thf(f10073,plain,
( spl0_214
| spl0_240
| spl0_218 ),
inference(avatar_split_clause,[],[f9520,f9485,f10071,f9471]) ).
thf(f10075,definition,
( spl0_241
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).
thf(f10076,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f10075]) ).
thf(f10078,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_233 ),
inference(constrained_superposition,[],[f10025,f57]) ).
thf(f10080,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_233 ),
inference(constrained_superposition,[],[f10025,f31]) ).
thf(f10082,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_233 ),
inference(trivial_inequality_removal,[],[f10080]) ).
thf(f10083,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_233 ),
inference(trivial_inequality_removal,[],[f10078]) ).
thf(f10086,definition,
( spl0_242
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).
thf(f10087,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f10086]) ).
thf(f10088,plain,
( spl0_242
| spl0_228
| spl0_233 ),
inference(avatar_split_clause,[],[f10082,f10024,f9599,f10086]) ).
thf(f10089,plain,
( spl0_228
| spl0_233 ),
inference(avatar_split_clause,[],[f10083,f10024,f9599]) ).
thf(f10091,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f26,f9600]) ).
thf(f10093,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f10091]) ).
thf(f10095,definition,
( spl0_243
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).
thf(f10096,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f10095]) ).
thf(f10097,plain,
( spl0_243
| spl0_232
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f10093,f9599,f9899,f10095]) ).
thf(f10098,plain,
( ( $true != $true )
| ~ spl0_228
| ~ spl0_232 ),
inference(constrained_superposition,[],[f9900,f9600]) ).
thf(f10100,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_232 ),
inference(constrained_superposition,[],[f9900,f8512]) ).
thf(f10103,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_17
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f10100]) ).
thf(f10106,plain,
( $false
| ~ spl0_228
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f10098]) ).
thf(f10107,plain,
( ~ spl0_228
| ~ spl0_232 ),
inference(avatar_contradiction_clause,[],[f10106]) ).
thf(f10109,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f10103,f9900]) ).
thf(f10111,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_17
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f10109,f30]) ).
thf(f10114,plain,
( spl0_242
| ~ spl0_17
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f10111,f9899,f204,f10086]) ).
thf(f10134,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_234 ),
inference(constrained_superposition,[],[f10029,f31]) ).
thf(f10137,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_234 ),
inference(trivial_inequality_removal,[],[f10134]) ).
thf(f10141,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_15
| spl0_234 ),
inference(forward_subsumption_resolution,[],[f10137,f180]) ).
thf(f10144,plain,
( spl0_242
| ~ spl0_15
| spl0_234 ),
inference(avatar_split_clause,[],[f10141,f10028,f179,f10086]) ).
thf(f10145,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17
| spl0_228 ),
inference(constrained_superposition,[],[f9902,f8525]) ).
thf(f10148,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_17
| spl0_228 ),
inference(trivial_inequality_removal,[],[f10145]) ).
thf(f10150,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_17
| spl0_228 ),
inference(forward_subsumption_resolution,[],[f10148,f30]) ).
thf(f10152,plain,
( spl0_221
| ~ spl0_17
| spl0_228 ),
inference(avatar_split_clause,[],[f10150,f9599,f204,f9496]) ).
thf(f10156,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_236 ),
inference(constrained_superposition,[],[f10037,f1922]) ).
thf(f10158,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_236 ),
inference(constrained_superposition,[],[f10037,f55]) ).
thf(f10163,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_236 ),
inference(trivial_inequality_removal,[],[f10156]) ).
thf(f10164,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_236 ),
inference(trivial_inequality_removal,[],[f10158]) ).
thf(f10168,definition,
( spl0_244
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
thf(f10169,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f10168]) ).
thf(f10171,plain,
( spl0_225
| spl0_236 ),
inference(avatar_split_clause,[],[f10163,f10036,f9586]) ).
thf(f10172,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_66
| spl0_236 ),
inference(forward_subsumption_resolution,[],[f10164,f6034]) ).
thf(f10174,plain,
( spl0_225
| spl0_66
| spl0_236 ),
inference(avatar_split_clause,[],[f10172,f10036,f3579,f9586]) ).
thf(f10190,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_49
| ~ spl0_213 ),
inference(constrained_superposition,[],[f9430,f1162]) ).
thf(f10195,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_49
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f10190]) ).
thf(f10196,plain,
( $false
| ~ spl0_28
| ~ spl0_49
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f10195,f576]) ).
thf(f10197,plain,
( ~ spl0_28
| ~ spl0_49
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[],[f10196]) ).
thf(f10214,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f549,f8815]) ).
thf(f10227,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f43,f8815]) ).
thf(f10231,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f10214]) ).
thf(f10244,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f10227]) ).
thf(f10250,plain,
( ~ spl0_215
| spl0_238
| spl0_188
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f10244,f8814,f8870,f10046,f9475]) ).
thf(f10255,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_235 ),
inference(constrained_superposition,[],[f10032,f35]) ).
thf(f10261,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_235 ),
inference(constrained_superposition,[],[f10032,f466]) ).
thf(f10264,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_235 ),
inference(trivial_inequality_removal,[],[f10261]) ).
thf(f10270,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_235 ),
inference(trivial_inequality_removal,[],[f10255]) ).
thf(f10286,definition,
( spl0_245
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).
thf(f10287,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f10286]) ).
thf(f10330,definition,
( spl0_246
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).
thf(f10331,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_246 ),
inference(avatar_component_clause,[],[f10330]) ).
thf(f10337,definition,
( spl0_248
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).
thf(f10338,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f10337]) ).
thf(f10341,definition,
( spl0_249
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
thf(f10342,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f10341]) ).
thf(f10355,definition,
( spl0_251
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).
thf(f10356,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f10355]) ).
thf(f10357,plain,
( ~ spl0_218
| spl0_251
| spl0_187
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f10231,f8814,f8865,f10355,f9485]) ).
thf(f10487,definition,
( spl0_255
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).
thf(f10488,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_255 ),
inference(avatar_component_clause,[],[f10487]) ).
thf(f10508,definition,
( spl0_260
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).
thf(f10509,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f10508]) ).
thf(f10511,definition,
( spl0_261
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).
thf(f10512,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_261 ),
inference(avatar_component_clause,[],[f10511]) ).
thf(f10533,definition,
( spl0_264
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).
thf(f10534,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f10533]) ).
thf(f10536,definition,
( spl0_265
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
thf(f10537,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f10536]) ).
thf(f10543,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| spl0_261 ),
inference(constrained_superposition,[],[f10512,f31]) ).
thf(f10546,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_261 ),
inference(trivial_inequality_removal,[],[f10543]) ).
thf(f10550,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_15
| spl0_261 ),
inference(forward_subsumption_resolution,[],[f10546,f180]) ).
thf(f10553,plain,
( spl0_265
| ~ spl0_15
| spl0_261 ),
inference(avatar_split_clause,[],[f10550,f10511,f179,f10536]) ).
thf(f10565,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_255 ),
inference(constrained_superposition,[],[f10488,f37]) ).
thf(f10571,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_255 ),
inference(trivial_inequality_removal,[],[f10565]) ).
thf(f10579,plain,
( spl0_249
| spl0_240
| spl0_255 ),
inference(avatar_split_clause,[],[f10571,f10487,f10071,f10341]) ).
thf(f10589,definition,
( spl0_267
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).
thf(f10590,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ~ spl0_267 ),
inference(avatar_component_clause,[],[f10589]) ).
thf(f10597,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_264 ),
inference(avatar_component_clause,[],[f10533]) ).
thf(f10599,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_206
| ~ spl0_230 ),
inference(constrained_superposition,[],[f9848,f9220]) ).
thf(f10603,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_206
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f10599]) ).
thf(f10607,plain,
( ~ spl0_264
| ~ spl0_206
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f10603,f9847,f9219,f10533]) ).
thf(f10619,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_17
| spl0_264 ),
inference(constrained_superposition,[],[f10597,f8525]) ).
thf(f10622,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_17
| spl0_264 ),
inference(trivial_inequality_removal,[],[f10619]) ).
thf(f10624,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_17
| spl0_264 ),
inference(forward_subsumption_resolution,[],[f10622,f30]) ).
thf(f10626,plain,
( spl0_246
| ~ spl0_17
| spl0_264 ),
inference(avatar_split_clause,[],[f10624,f10533,f204,f10330]) ).
thf(f10633,plain,
( ( $true != $true )
| ~ spl0_206
| ~ spl0_267 ),
inference(constrained_superposition,[],[f10590,f9220]) ).
thf(f10640,plain,
( $false
| ~ spl0_206
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f10633]) ).
thf(f10641,plain,
( ~ spl0_206
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f10640]) ).
thf(f10734,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f466,f10537]) ).
thf(f10886,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f10734,f29]) ).
thf(f10920,plain,
( $false
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f10886,f28]) ).
thf(f10921,plain,
~ spl0_265,
inference(avatar_contradiction_clause,[],[f10920]) ).
thf(f11182,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_14
| ~ spl0_15
| ~ spl0_207 ),
inference(constrained_superposition,[],[f225,f9223]) ).
thf(f11198,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_15
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f11182]) ).
thf(f11211,plain,
( ~ spl0_261
| spl0_260
| spl0_188
| ~ spl0_14
| ~ spl0_15
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f11198,f9222,f179,f167,f8870,f10508,f10511]) ).
thf(f11241,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_184
| ~ spl0_191 ),
inference(constrained_superposition,[],[f8881,f8815]) ).
thf(f11242,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_191
| ~ spl0_207 ),
inference(constrained_superposition,[],[f8881,f9223]) ).
thf(f11245,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f8881,f58]) ).
thf(f11247,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_184
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f11241]) ).
thf(f11252,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f11245]) ).
thf(f11254,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_191
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f11242]) ).
thf(f11256,plain,
( ~ spl0_236
| ~ spl0_184
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f11247,f8880,f8814,f10036]) ).
thf(f11258,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f11252,f180]) ).
thf(f11259,plain,
( ~ spl0_255
| ~ spl0_191
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f11254,f9222,f8880,f10487]) ).
thf(f11260,plain,
( ~ spl0_70
| ~ spl0_15
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f11258,f8880,f179,f3636]) ).
thf(f11261,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_49
| ~ spl0_197 ),
inference(constrained_superposition,[],[f8917,f1162]) ).
thf(f11266,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_49
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f11261]) ).
thf(f11269,plain,
( $false
| ~ spl0_49
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f11266,f1162]) ).
thf(f11270,plain,
( ~ spl0_49
| ~ spl0_197 ),
inference(avatar_contradiction_clause,[],[f11269]) ).
thf(f11278,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_49
| ~ spl0_212 ),
inference(constrained_superposition,[],[f9415,f1162]) ).
thf(f11281,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_49
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f11278]) ).
thf(f11284,plain,
( $false
| ~ spl0_49
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f11281,f1162]) ).
thf(f11285,plain,
( ~ spl0_49
| ~ spl0_212 ),
inference(avatar_contradiction_clause,[],[f11284]) ).
thf(f11299,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_181
| ~ spl0_217 ),
inference(constrained_superposition,[],[f9483,f8804]) ).
thf(f11307,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_181
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f11299]) ).
thf(f11314,plain,
( ~ spl0_227
| ~ spl0_181
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f11307,f9482,f8803,f9593]) ).
thf(f11316,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_49
| ~ spl0_222 ),
inference(constrained_superposition,[],[f9533,f1162]) ).
thf(f11321,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_49
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f11316]) ).
thf(f11324,plain,
( $false
| ~ spl0_49
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f11321,f1162]) ).
thf(f11325,plain,
( ~ spl0_49
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f11324]) ).
thf(f11348,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_147
| ~ spl0_183 ),
inference(constrained_superposition,[],[f5825,f8811]) ).
thf(f11349,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_147
| ~ spl0_203 ),
inference(constrained_superposition,[],[f5825,f9209]) ).
thf(f11350,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f5825,f465]) ).
thf(f11360,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f11350]) ).
thf(f11361,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_147
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f11349]) ).
thf(f11362,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_147
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f11348]) ).
thf(f11367,definition,
( spl0_272
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
thf(f11368,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f11367]) ).
thf(f11369,plain,
( spl0_272
| spl0_128
| ~ spl0_32
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f11360,f5824,f596,f4947,f11367]) ).
thf(f11370,plain,
( spl0_217
| ~ spl0_215
| ~ spl0_147
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f11361,f9208,f5824,f9475,f9482]) ).
thf(f11371,plain,
( ~ spl0_190
| spl0_191
| ~ spl0_147
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f11362,f8810,f5824,f8880,f8877]) ).
thf(f11372,plain,
( ( $true != $true )
| ~ spl0_59
| ~ spl0_77 ),
inference(constrained_superposition,[],[f2863,f3842]) ).
thf(f11381,plain,
( $false
| ~ spl0_59
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f11372]) ).
thf(f11382,plain,
( ~ spl0_59
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f11381]) ).
thf(f11397,definition,
( spl0_274
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
thf(f11398,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f11397]) ).
thf(f11399,plain,
( ~ spl0_50
| spl0_274
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f10264,f10031,f11397,f1164]) ).
thf(f11402,definition,
( spl0_275
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
thf(f11403,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f11402]) ).
thf(f11413,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_66
| spl0_71 ),
inference(forward_subsumption_resolution,[],[f9238,f6034]) ).
thf(f11414,plain,
( ~ spl0_50
| spl0_112
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f9378,f5760,f4603,f1164]) ).
thf(f11419,plain,
( spl0_77
| spl0_71 ),
inference(avatar_split_clause,[],[f9240,f3772,f3841]) ).
thf(f11421,definition,
( spl0_276
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
thf(f11422,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f11421]) ).
thf(f11424,plain,
( spl0_275
| spl0_194 ),
inference(avatar_split_clause,[],[f9312,f8895,f11402]) ).
thf(f11431,plain,
( spl0_275
| ~ spl0_50
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f9918,f9114,f1164,f11402]) ).
thf(f11440,plain,
( spl0_77
| spl0_66
| spl0_71 ),
inference(avatar_split_clause,[],[f11413,f3772,f3579,f3841]) ).
thf(f11456,plain,
( ~ spl0_215
| ~ spl0_216
| spl0_187
| ~ spl0_109
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f9946,f8803,f4591,f8865,f9478,f9475]) ).
thf(f11459,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_123
| ~ spl0_230 ),
inference(constrained_superposition,[],[f9848,f4905]) ).
thf(f11462,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_58
| ~ spl0_123 ),
inference(constrained_superposition,[],[f2860,f4905]) ).
thf(f11469,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_58
| ~ spl0_123 ),
inference(trivial_inequality_removal,[],[f11462]) ).
thf(f11470,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_123
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f11459]) ).
thf(f11476,plain,
( $false
| ~ spl0_1
| ~ spl0_58
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f11469,f73]) ).
thf(f11477,plain,
( ~ spl0_1
| ~ spl0_58
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f11476]) ).
thf(f11478,plain,
( $false
| ~ spl0_1
| ~ spl0_123
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f11470,f73]) ).
thf(f11479,plain,
( ~ spl0_1
| ~ spl0_123
| ~ spl0_230 ),
inference(avatar_contradiction_clause,[],[f11478]) ).
thf(f11481,plain,
( spl0_210
| spl0_196
| spl0_224 ),
inference(avatar_split_clause,[],[f9853,f9583,f8903,f9267]) ).
thf(f11491,plain,
( spl0_196
| spl0_224 ),
inference(avatar_split_clause,[],[f9855,f9583,f8903]) ).
thf(f11529,definition,
( spl0_278
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
thf(f11530,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f11529]) ).
thf(f11540,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_24
| ~ spl0_38 ),
inference(constrained_superposition,[],[f645,f562]) ).
thf(f11543,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_24
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f11540]) ).
thf(f11552,plain,
( ~ spl0_1
| ~ spl0_24
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f11543,f644,f561,f72]) ).
thf(f11553,plain,
( $false
| ~ spl0_46
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f9497,f855]) ).
thf(f11554,plain,
( ~ spl0_46
| ~ spl0_221 ),
inference(avatar_contradiction_clause,[],[f11553]) ).
thf(f11588,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_19
| ~ spl0_180 ),
inference(constrained_superposition,[],[f223,f8801]) ).
thf(f11590,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_19
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f11588]) ).
thf(f11593,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_19
| ~ spl0_185 ),
inference(constrained_superposition,[],[f223,f8818]) ).
thf(f11596,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_19
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f11593]) ).
thf(f11601,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_123
| ~ spl0_278 ),
inference(constrained_superposition,[],[f11530,f4905]) ).
thf(f11602,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_123
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f11601]) ).
thf(f11606,plain,
( $false
| ~ spl0_24
| ~ spl0_123
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f11602,f562]) ).
thf(f11607,plain,
( ~ spl0_24
| ~ spl0_123
| ~ spl0_278 ),
inference(avatar_contradiction_clause,[],[f11606]) ).
thf(f11620,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_123
| ~ spl0_276 ),
inference(constrained_superposition,[],[f11422,f4905]) ).
thf(f11621,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_123
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f11620]) ).
thf(f11624,plain,
( $false
| ~ spl0_24
| ~ spl0_123
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f11621,f562]) ).
thf(f11625,plain,
( ~ spl0_24
| ~ spl0_123
| ~ spl0_276 ),
inference(avatar_contradiction_clause,[],[f11624]) ).
thf(f11626,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_197 ),
inference(constrained_superposition,[],[f8917,f8818]) ).
thf(f11629,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_123
| ~ spl0_197 ),
inference(constrained_superposition,[],[f8917,f4905]) ).
thf(f11630,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_123
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f11629]) ).
thf(f11633,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_185
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f11626]) ).
thf(f11634,plain,
( $false
| ~ spl0_123
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f11630,f4905]) ).
thf(f11635,plain,
( ~ spl0_123
| ~ spl0_197 ),
inference(avatar_contradiction_clause,[],[f11634]) ).
thf(f11638,plain,
( $false
| ~ spl0_68
| ~ spl0_185
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f11633,f3586]) ).
thf(f11639,plain,
( ~ spl0_68
| ~ spl0_185
| ~ spl0_197 ),
inference(avatar_contradiction_clause,[],[f11638]) ).
thf(f11640,plain,
( $false
| ~ spl0_46
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f8862,f855]) ).
thf(f11641,plain,
( ~ spl0_46
| ~ spl0_186 ),
inference(avatar_contradiction_clause,[],[f11640]) ).
thf(f11660,plain,
( $false
| ~ spl0_19
| ~ spl0_180
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f11590,f8862]) ).
thf(f11661,plain,
( ~ spl0_19
| ~ spl0_180
| ~ spl0_186 ),
inference(avatar_contradiction_clause,[],[f11660]) ).
thf(f11671,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_130
| ~ spl0_186 ),
inference(constrained_superposition,[],[f5051,f8862]) ).
thf(f11672,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_130
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f11671]) ).
thf(f11673,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_130
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f11672,f30]) ).
thf(f11674,plain,
( $false
| spl0_66
| ~ spl0_130
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f11673,f6034]) ).
thf(f11675,plain,
( spl0_66
| ~ spl0_130
| ~ spl0_186 ),
inference(avatar_contradiction_clause,[],[f11674]) ).
thf(f11741,plain,
( $false
| ~ spl0_19
| ~ spl0_185
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f9497,f11596]) ).
thf(f11742,plain,
( ~ spl0_19
| ~ spl0_185
| ~ spl0_221 ),
inference(avatar_contradiction_clause,[],[f11741]) ).
thf(f11811,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_15
| ~ spl0_31
| ~ spl0_184 ),
inference(constrained_superposition,[],[f5131,f8815]) ).
thf(f11834,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_31
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f11811]) ).
thf(f11921,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_123
| ~ spl0_212 ),
inference(constrained_superposition,[],[f9415,f4905]) ).
thf(f11922,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_123
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f11921]) ).
thf(f11923,plain,
( $false
| ~ spl0_123
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f11922,f4905]) ).
thf(f11924,plain,
( ~ spl0_123
| ~ spl0_212 ),
inference(avatar_contradiction_clause,[],[f11923]) ).
thf(f11988,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_260 ),
inference(constrained_superposition,[],[f10509,f35]) ).
thf(f11995,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f11988]) ).
thf(f12005,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_123
| ~ spl0_222 ),
inference(constrained_superposition,[],[f9533,f4905]) ).
thf(f12006,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_123
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f12005]) ).
thf(f12007,plain,
( $false
| ~ spl0_123
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f12006,f4905]) ).
thf(f12008,plain,
( ~ spl0_123
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f12007]) ).
thf(f12018,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f3634,f1922]) ).
thf(f12021,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f12018]) ).
thf(f12031,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_143
| ~ spl0_203 ),
inference(constrained_superposition,[],[f5785,f9209]) ).
thf(f12047,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_143
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f12031]) ).
thf(f12049,plain,
( spl0_217
| ~ spl0_218
| ~ spl0_143
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f12047,f9208,f5784,f9485,f9482]) ).
thf(f12050,plain,
( ~ spl0_233
| spl0_187
| ~ spl0_15
| ~ spl0_31
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f11834,f8814,f588,f179,f8865,f10024]) ).
thf(f12052,definition,
( spl0_280
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_280])],[avatar_definition]) ).
thf(f12053,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_280 ),
inference(avatar_component_clause,[],[f12052]) ).
thf(f12128,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f1922,f9268]) ).
thf(f12252,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_210 ),
inference(forward_subsumption_resolution,[],[f12128,f29]) ).
thf(f12278,plain,
( $false
| ~ spl0_210 ),
inference(forward_subsumption_resolution,[],[f12252,f28]) ).
thf(f12279,plain,
~ spl0_210,
inference(avatar_contradiction_clause,[],[f12278]) ).
thf(f12289,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_59
| ~ spl0_93 ),
inference(constrained_superposition,[],[f2863,f4046]) ).
thf(f12293,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_59
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f12289]) ).
thf(f12294,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_59
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f12293,f2863]) ).
thf(f12295,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_59
| spl0_66
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f12294,f6034]) ).
thf(f12296,plain,
( spl0_129
| ~ spl0_59
| spl0_66
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f12295,f4045,f3579,f2862,f4959]) ).
thf(f12317,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_129 ),
inference(constrained_superposition,[],[f465,f4960]) ).
thf(f12444,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f12317,f29]) ).
thf(f12457,plain,
( $false
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f12444,f28]) ).
thf(f12458,plain,
~ spl0_129,
inference(avatar_contradiction_clause,[],[f12457]) ).
thf(f12461,plain,
( ~ spl0_6
| spl0_87
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f9376,f5760,f3971,f105]) ).
thf(f12462,plain,
( ~ spl0_6
| spl0_219
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f10270,f10031,f9489,f105]) ).
thf(f12465,plain,
( spl0_248
| ~ spl0_6
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f11995,f10508,f105,f10337]) ).
thf(f12508,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_187 ),
inference(constrained_superposition,[],[f645,f8866]) ).
thf(f12513,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f12508]) ).
thf(f12516,plain,
( $false
| ~ spl0_38
| ~ spl0_187
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f12513,f8904]) ).
thf(f12517,plain,
( ~ spl0_38
| ~ spl0_187
| ~ spl0_196 ),
inference(avatar_contradiction_clause,[],[f12516]) ).
thf(f12527,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_214 ),
inference(constrained_superposition,[],[f645,f9472]) ).
thf(f12528,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_214 ),
inference(constrained_superposition,[],[f617,f9472]) ).
thf(f12532,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f12527]) ).
thf(f12534,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f12528]) ).
thf(f12536,plain,
( $false
| ~ spl0_38
| ~ spl0_214
| ~ spl0_228 ),
inference(forward_subsumption_resolution,[],[f12532,f9600]) ).
thf(f12537,plain,
( ~ spl0_38
| ~ spl0_214
| ~ spl0_228 ),
inference(avatar_contradiction_clause,[],[f12536]) ).
thf(f12540,plain,
( $false
| ~ spl0_36
| ~ spl0_214
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f12534,f9497]) ).
thf(f12541,plain,
( ~ spl0_36
| ~ spl0_214
| ~ spl0_221 ),
inference(avatar_contradiction_clause,[],[f12540]) ).
thf(f12542,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_182
| ~ spl0_230 ),
inference(constrained_superposition,[],[f9848,f8808]) ).
thf(f12545,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_182
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f12542]) ).
thf(f12564,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_182
| ~ spl0_208 ),
inference(constrained_superposition,[],[f9233,f8808]) ).
thf(f12565,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_182
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f12564]) ).
thf(f12567,plain,
( $false
| ~ spl0_74
| ~ spl0_182
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f12565,f3812]) ).
thf(f12568,plain,
( ~ spl0_74
| ~ spl0_182
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f12567]) ).
thf(f12580,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_202
| ~ spl0_213 ),
inference(constrained_superposition,[],[f9430,f9206]) ).
thf(f12582,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_202
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f12580]) ).
thf(f12583,plain,
( $false
| ~ spl0_74
| ~ spl0_202
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f12582,f3812]) ).
thf(f12584,plain,
( ~ spl0_74
| ~ spl0_202
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[],[f12583]) ).
thf(f12585,plain,
( ( $true != $true )
| ~ spl0_8
| ~ spl0_24 ),
inference(constrained_superposition,[],[f121,f562]) ).
thf(f12586,plain,
( ( $true != $true )
| ~ spl0_8
| ~ spl0_87 ),
inference(constrained_superposition,[],[f121,f3972]) ).
thf(f12587,plain,
( ( $true != $true )
| ~ spl0_8
| ~ spl0_248 ),
inference(constrained_superposition,[],[f121,f10338]) ).
thf(f12588,plain,
( ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_93 ),
inference(constrained_superposition,[],[f121,f4046]) ).
thf(f12589,plain,
( $false
| ~ spl0_8
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f12587]) ).
thf(f12590,plain,
( ~ spl0_8
| ~ spl0_248 ),
inference(avatar_contradiction_clause,[],[f12589]) ).
thf(f12591,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f12588]) ).
thf(f12592,plain,
( $false
| ~ spl0_8
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f12585]) ).
thf(f12593,plain,
( ~ spl0_8
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f12592]) ).
thf(f12594,plain,
( $false
| ~ spl0_8
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f12586]) ).
thf(f12595,plain,
( ~ spl0_8
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f12594]) ).
thf(f12596,plain,
( ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_1
| ~ spl0_8
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f12591,f410]) ).
thf(f12597,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_1
| ~ spl0_8
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f12596,f30]) ).
thf(f12598,plain,
( $false
| spl0_1
| ~ spl0_8
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f12597,f30]) ).
thf(f12599,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f12598]) ).
thf(f12600,plain,
( ~ spl0_77
| ~ spl0_182
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f12545,f9847,f8807,f3841]) ).
thf(f12604,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_128 ),
inference(constrained_superposition,[],[f645,f4948]) ).
thf(f12605,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_128 ),
inference(constrained_superposition,[],[f617,f4948]) ).
thf(f12607,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_128 ),
inference(trivial_inequality_removal,[],[f12604]) ).
thf(f12608,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_128 ),
inference(trivial_inequality_removal,[],[f12605]) ).
thf(f12610,plain,
( $false
| ~ spl0_36
| ~ spl0_74
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f12608,f3812]) ).
thf(f12611,plain,
( ~ spl0_36
| ~ spl0_74
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f12610]) ).
thf(f12613,plain,
( ~ spl0_77
| ~ spl0_38
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f12607,f4947,f644,f3841]) ).
thf(f12638,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_100
| ~ spl0_225 ),
inference(constrained_superposition,[],[f4254,f9587]) ).
thf(f12641,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_100
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f12638]) ).
thf(f12644,plain,
( $false
| ~ spl0_100
| ~ spl0_221
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f12641,f9497]) ).
thf(f12645,plain,
( ~ spl0_100
| ~ spl0_221
| ~ spl0_225 ),
inference(avatar_contradiction_clause,[],[f12644]) ).
thf(f12646,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_87
| ~ spl0_126 ),
inference(constrained_superposition,[],[f4940,f3972]) ).
thf(f12647,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_87
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f12646]) ).
thf(f12648,plain,
( $false
| ~ spl0_24
| ~ spl0_87
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f12647,f562]) ).
thf(f12649,plain,
( ~ spl0_24
| ~ spl0_87
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f12648]) ).
thf(f12651,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f9115,f35]) ).
thf(f12660,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f12651]) ).
thf(f12668,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_180
| ~ spl0_213 ),
inference(constrained_superposition,[],[f9430,f8801]) ).
thf(f12671,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_180
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f12668]) ).
thf(f12673,plain,
( $false
| ~ spl0_180
| ~ spl0_186
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f12671,f8862]) ).
thf(f12674,plain,
( ~ spl0_180
| ~ spl0_186
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[],[f12673]) ).
thf(f12675,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_126
| ~ spl0_225 ),
inference(constrained_superposition,[],[f4940,f9587]) ).
thf(f12679,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_126
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f12675]) ).
thf(f12682,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_93
| ~ spl0_126
| ~ spl0_225 ),
inference(constrained_superposition,[],[f12679,f4046]) ).
thf(f12683,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_93
| ~ spl0_126
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f12682]) ).
thf(f12684,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_93
| ~ spl0_126
| ~ spl0_225
| spl0_228 ),
inference(forward_subsumption_resolution,[],[f12683,f9902]) ).
thf(f12685,plain,
( spl0_240
| spl0_242
| ~ spl0_93
| ~ spl0_126
| ~ spl0_225
| spl0_228 ),
inference(avatar_split_clause,[],[f12684,f9599,f9586,f4939,f4045,f10086,f10071]) ).
thf(f12710,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_240 ),
inference(constrained_superposition,[],[f465,f10072]) ).
thf(f12832,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f12710,f29]) ).
thf(f12852,plain,
( $false
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f12832,f28]) ).
thf(f12853,plain,
~ spl0_240,
inference(avatar_contradiction_clause,[],[f12852]) ).
thf(f12930,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_242 ),
inference(constrained_superposition,[],[f1922,f10087]) ).
thf(f13035,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f12930,f29]) ).
thf(f13066,plain,
( $false
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f13035,f28]) ).
thf(f13067,plain,
~ spl0_242,
inference(avatar_contradiction_clause,[],[f13066]) ).
thf(f13080,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_15
| ~ spl0_31
| ~ spl0_181 ),
inference(constrained_superposition,[],[f5131,f8804]) ).
thf(f13094,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_15
| ~ spl0_31
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f13080]) ).
thf(f13107,plain,
( ~ spl0_224
| spl0_214
| ~ spl0_15
| ~ spl0_31
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f13094,f8803,f588,f179,f9471,f9583]) ).
thf(f13110,plain,
( spl0_188
| ~ spl0_6
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f12660,f9114,f105,f8870]) ).
thf(f13111,plain,
( ~ spl0_6
| spl0_24
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f8133,f1158,f561,f105]) ).
thf(f13141,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_228 ),
inference(constrained_superposition,[],[f124,f9600]) ).
thf(f13143,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f13141]) ).
thf(f13216,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_180
| ~ spl0_243 ),
inference(constrained_superposition,[],[f10096,f8801]) ).
thf(f13218,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_180
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f13216]) ).
thf(f13219,plain,
( $false
| ~ spl0_180
| ~ spl0_196
| ~ spl0_243 ),
inference(forward_subsumption_resolution,[],[f13218,f8904]) ).
thf(f13220,plain,
( ~ spl0_180
| ~ spl0_196
| ~ spl0_243 ),
inference(avatar_contradiction_clause,[],[f13219]) ).
thf(f13238,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_243
| ~ spl0_274 ),
inference(constrained_superposition,[],[f10096,f11398]) ).
thf(f13241,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_243
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f13238]) ).
thf(f13243,plain,
( $false
| ~ spl0_27
| ~ spl0_243
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f13241,f572]) ).
thf(f13244,plain,
( ~ spl0_27
| ~ spl0_243
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f13243]) ).
thf(f13259,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f50,f8804]) ).
thf(f13275,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f13259]) ).
thf(f13282,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_9
| ~ spl0_181
| ~ spl0_228 ),
inference(forward_subsumption_resolution,[],[f13275,f13143]) ).
thf(f13283,plain,
( spl0_229
| ~ spl0_190
| ~ spl0_9
| ~ spl0_181
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f13282,f9599,f8803,f123,f8877,f9604]) ).
thf(f13284,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_182
| ~ spl0_278 ),
inference(constrained_superposition,[],[f11530,f8808]) ).
thf(f13285,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_182
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f13284]) ).
thf(f13286,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_93
| ~ spl0_182
| ~ spl0_278 ),
inference(constrained_superposition,[],[f13285,f4046]) ).
thf(f13287,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_93
| ~ spl0_182
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f13286]) ).
thf(f13288,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_77
| ~ spl0_93
| ~ spl0_182
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f13287,f8913]) ).
thf(f13289,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_66
| spl0_77
| ~ spl0_93
| ~ spl0_182
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f13288,f6034]) ).
thf(f13290,plain,
( spl0_129
| spl0_66
| spl0_77
| ~ spl0_93
| ~ spl0_182
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f13289,f11529,f8807,f4045,f3841,f3579,f4959]) ).
thf(f13307,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_202
| ~ spl0_276 ),
inference(constrained_superposition,[],[f11422,f9206]) ).
thf(f13308,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_202
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f13307]) ).
thf(f13309,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_93
| ~ spl0_202
| ~ spl0_276 ),
inference(constrained_superposition,[],[f13308,f4046]) ).
thf(f13310,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_93
| ~ spl0_202
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f13309]) ).
thf(f13311,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_66
| ~ spl0_93
| ~ spl0_202
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f13310,f6034]) ).
thf(f13312,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_66
| spl0_77
| ~ spl0_93
| ~ spl0_202
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f13311,f8913]) ).
thf(f13313,plain,
( spl0_129
| spl0_66
| spl0_77
| ~ spl0_93
| ~ spl0_202
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f13312,f11421,f9205,f4045,f3841,f3579,f4959]) ).
thf(f13371,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_202
| ~ spl0_222 ),
inference(constrained_superposition,[],[f9533,f9206]) ).
thf(f13372,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_202
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f13371]) ).
thf(f13373,plain,
( $false
| ~ spl0_182
| ~ spl0_202
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f13372,f8808]) ).
thf(f13374,plain,
( ~ spl0_182
| ~ spl0_202
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f13373]) ).
thf(f13376,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_241 ),
inference(constrained_superposition,[],[f10076,f35]) ).
thf(f13381,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_241 ),
inference(constrained_superposition,[],[f10076,f466]) ).
thf(f13382,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_241 ),
inference(constrained_superposition,[],[f10076,f58]) ).
thf(f13383,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f13382]) ).
thf(f13385,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f13381]) ).
thf(f13387,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f13376]) ).
thf(f13391,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_15
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f13383,f180]) ).
thf(f13392,plain,
( spl0_274
| ~ spl0_194
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f13385,f10075,f8895,f11397]) ).
thf(f13394,definition,
( spl0_282
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_282])],[avatar_definition]) ).
thf(f13395,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_282 ),
inference(avatar_component_clause,[],[f13394]) ).
thf(f13396,plain,
( spl0_219
| ~ spl0_282
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f13387,f10075,f13394,f9489]) ).
thf(f13397,plain,
( ~ spl0_200
| ~ spl0_15
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f13391,f10075,f179,f9117]) ).
thf(f13403,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_74
| ~ spl0_130 ),
inference(constrained_superposition,[],[f5051,f3812]) ).
thf(f13404,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_130
| ~ spl0_246 ),
inference(constrained_superposition,[],[f5051,f10331]) ).
thf(f13405,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_130
| ~ spl0_221 ),
inference(constrained_superposition,[],[f5051,f9497]) ).
thf(f13406,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_130
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f13404]) ).
thf(f13407,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_74
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f13403]) ).
thf(f13408,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_130
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f13405]) ).
thf(f13409,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_130
| ~ spl0_246 ),
inference(forward_subsumption_resolution,[],[f13406,f30]) ).
thf(f13410,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_34
| ~ spl0_74
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f13407,f8761]) ).
thf(f13411,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_130
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f13408,f30]) ).
thf(f13412,plain,
( spl0_242
| ~ spl0_130
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f13409,f10330,f5050,f10086]) ).
thf(f13413,plain,
( $false
| spl0_34
| ~ spl0_74
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f13410,f30]) ).
thf(f13414,plain,
( spl0_34
| ~ spl0_74
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f13413]) ).
thf(f13415,plain,
( spl0_210
| ~ spl0_130
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f13411,f9496,f5050,f9267]) ).
thf(f13429,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_203
| ~ spl0_235 ),
inference(constrained_superposition,[],[f10032,f9209]) ).
thf(f13430,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_88
| ~ spl0_203 ),
inference(constrained_superposition,[],[f4854,f9209]) ).
thf(f13441,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f190,f9209]) ).
thf(f13445,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f43,f9209]) ).
thf(f13447,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f13445]) ).
thf(f13454,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f13441]) ).
thf(f13462,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_88
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f13430]) ).
thf(f13463,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_203
| ~ spl0_235 ),
inference(trivial_inequality_removal,[],[f13429]) ).
thf(f13465,plain,
( spl0_220
| spl0_219
| ~ spl0_67
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f13447,f9208,f3582,f9489,f9492]) ).
thf(f13468,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f13454,f180]) ).
thf(f13471,plain,
( spl0_225
| ~ spl0_71
| ~ spl0_15
| ~ spl0_88
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f13462,f9208,f3974,f179,f3772,f9586]) ).
thf(f13472,plain,
( ~ spl0_71
| ~ spl0_203
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f13463,f10031,f9208,f3772]) ).
thf(f13473,plain,
( ~ spl0_71
| spl0_139
| ~ spl0_15
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f13468,f9208,f179,f5760,f3772]) ).
thf(f13475,plain,
( spl0_88
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f12021,f3633,f3974]) ).
thf(f13518,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_208 ),
inference(constrained_superposition,[],[f9233,f8818]) ).
thf(f13519,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_185
| ~ spl0_197 ),
inference(constrained_superposition,[],[f8917,f8818]) ).
thf(f13522,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_185
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f13519]) ).
thf(f13523,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_185
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f13518]) ).
thf(f13525,plain,
( $false
| ~ spl0_185
| ~ spl0_197
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f13522,f9587]) ).
thf(f13526,plain,
( ~ spl0_185
| ~ spl0_197
| ~ spl0_225 ),
inference(avatar_contradiction_clause,[],[f13525]) ).
thf(f13527,plain,
( $false
| ~ spl0_185
| ~ spl0_208
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f13523,f9497]) ).
thf(f13528,plain,
( ~ spl0_185
| ~ spl0_208
| ~ spl0_221 ),
inference(avatar_contradiction_clause,[],[f13527]) ).
thf(f13549,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_228 ),
inference(constrained_superposition,[],[f124,f9600]) ).
thf(f13551,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f13549]) ).
thf(f13595,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_100
| ~ spl0_193 ),
inference(constrained_superposition,[],[f4254,f8892]) ).
thf(f13600,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_100
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f13595]) ).
thf(f13601,plain,
( $false
| ~ spl0_100
| ~ spl0_186
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f13600,f8862]) ).
thf(f13602,plain,
( ~ spl0_100
| ~ spl0_186
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f13601]) ).
thf(f13604,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_58
| ~ spl0_87 ),
inference(constrained_superposition,[],[f2860,f3972]) ).
thf(f13608,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_58
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f13604]) ).
thf(f13609,plain,
( $false
| ~ spl0_1
| ~ spl0_58
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f13608,f73]) ).
thf(f13610,plain,
( ~ spl0_1
| ~ spl0_58
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f13609]) ).
thf(f13627,plain,
( $false
| ~ spl0_9
| ~ spl0_221
| ~ spl0_228 ),
inference(forward_subsumption_resolution,[],[f9497,f13551]) ).
thf(f13628,plain,
( ~ spl0_9
| ~ spl0_221
| ~ spl0_228 ),
inference(avatar_contradiction_clause,[],[f13627]) ).
thf(f13634,definition,
( spl0_285
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
thf(f13635,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f13634]) ).
thf(f13637,definition,
( spl0_286
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).
thf(f13638,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f13637]) ).
thf(f13639,plain,
( spl0_285
| spl0_286 ),
inference(avatar_split_clause,[],[f558,f13637,f13634]) ).
thf(f13641,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_282 ),
inference(constrained_superposition,[],[f13395,f35]) ).
thf(f13644,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_282 ),
inference(trivial_inequality_removal,[],[f13641]) ).
thf(f13646,plain,
( spl0_188
| spl0_282 ),
inference(avatar_split_clause,[],[f13644,f13394,f8870]) ).
thf(f13660,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_219 ),
inference(constrained_superposition,[],[f9415,f9490]) ).
thf(f13663,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f13660]) ).
thf(f13666,plain,
( $false
| ~ spl0_87
| ~ spl0_212
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f13663,f3972]) ).
thf(f13667,plain,
( ~ spl0_87
| ~ spl0_212
| ~ spl0_219 ),
inference(avatar_contradiction_clause,[],[f13666]) ).
thf(f13672,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f26,f8904]) ).
thf(f13673,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f13672]) ).
thf(f13674,plain,
( spl0_230
| spl0_209
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f13673,f8903,f9244,f9847]) ).
thf(f13686,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197
| ~ spl0_275 ),
inference(constrained_superposition,[],[f8917,f11403]) ).
thf(f13689,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f13686]) ).
thf(f13691,plain,
( $false
| ~ spl0_112
| ~ spl0_197
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f13689,f4604]) ).
thf(f13692,plain,
( ~ spl0_112
| ~ spl0_197
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f13691]) ).
thf(f13693,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_43 ),
inference(constrained_superposition,[],[f740,f58]) ).
thf(f13695,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_43 ),
inference(constrained_superposition,[],[f740,f31]) ).
thf(f13696,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f13695]) ).
thf(f13697,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f13693]) ).
thf(f13699,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_34
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f13696,f8761]) ).
thf(f13700,plain,
( spl0_285
| spl0_43 ),
inference(avatar_split_clause,[],[f13697,f739,f13634]) ).
thf(f13702,plain,
( spl0_285
| spl0_34
| spl0_43 ),
inference(avatar_split_clause,[],[f13699,f739,f602,f13634]) ).
thf(f13733,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_230
| ~ spl0_275 ),
inference(constrained_superposition,[],[f9848,f11403]) ).
thf(f13736,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_230
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f13733]) ).
thf(f13737,plain,
( $false
| ~ spl0_27
| ~ spl0_230
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f13736,f572]) ).
thf(f13738,plain,
( ~ spl0_27
| ~ spl0_230
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f13737]) ).
thf(f13739,plain,
( ( $true != $true )
| ~ spl0_196
| ~ spl0_209 ),
inference(constrained_superposition,[],[f9245,f8904]) ).
thf(f13740,plain,
( $false
| ~ spl0_196
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f13739]) ).
thf(f13741,plain,
( ~ spl0_196
| ~ spl0_209 ),
inference(avatar_contradiction_clause,[],[f13740]) ).
thf(f13743,definition,
( spl0_287
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
thf(f13744,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f13743]) ).
thf(f13745,plain,
( ~ spl0_50
| spl0_287
| spl0_48 ),
inference(avatar_split_clause,[],[f1142,f1158,f13743,f1164]) ).
thf(f13748,definition,
( spl0_288
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).
thf(f13749,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f13748]) ).
thf(f13751,definition,
( spl0_289
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).
thf(f13752,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f13751]) ).
thf(f13753,plain,
( spl0_288
| spl0_289 ),
inference(avatar_split_clause,[],[f3555,f13751,f13748]) ).
thf(f13755,definition,
( spl0_290
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).
thf(f13756,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f13755]) ).
thf(f13759,definition,
( spl0_291
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).
thf(f13760,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f13759]) ).
thf(f13766,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_126
| ~ spl0_289 ),
inference(constrained_superposition,[],[f4940,f13752]) ).
thf(f13770,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_126
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f13766]) ).
thf(f13773,plain,
( $false
| ~ spl0_126
| ~ spl0_285
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f13770,f13635]) ).
thf(f13774,plain,
( ~ spl0_126
| ~ spl0_285
| ~ spl0_289 ),
inference(avatar_contradiction_clause,[],[f13773]) ).
thf(f13799,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_213
| ~ spl0_274 ),
inference(constrained_superposition,[],[f9430,f11398]) ).
thf(f13804,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_213
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f13799]) ).
thf(f13806,plain,
( $false
| ~ spl0_28
| ~ spl0_213
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f13804,f576]) ).
thf(f13807,plain,
( ~ spl0_28
| ~ spl0_213
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f13806]) ).
thf(f13835,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f3558,f8804]) ).
thf(f13836,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f549,f8804]) ).
thf(f13837,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f1138,f8804]) ).
thf(f13838,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f190,f8804]) ).
thf(f13839,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f150,f8804]) ).
thf(f13840,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f70,f8804]) ).
thf(f13841,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f50,f8804]) ).
thf(f13842,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f43,f8804]) ).
thf(f13843,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f32,f8804]) ).
thf(f13844,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f13837]) ).
thf(f13845,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f13841]) ).
thf(f13846,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f13839]) ).
thf(f13847,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f13842]) ).
thf(f13848,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f13840]) ).
thf(f13849,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f13836]) ).
thf(f13850,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f13843]) ).
thf(f13851,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f13835]) ).
thf(f13852,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f13838]) ).
thf(f13853,plain,
( spl0_274
| spl0_223
| ~ spl0_192
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f13844,f8803,f8886,f9576,f11397]) ).
thf(f13854,plain,
( spl0_201
| ~ spl0_192
| spl0_214
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f13849,f8803,f9471,f8886,f9150]) ).
thf(f13861,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f50,f8815]) ).
thf(f13862,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f43,f8815]) ).
thf(f13865,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f13862]) ).
thf(f13871,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f13861]) ).
thf(f13873,plain,
( spl0_238
| spl0_188
| ~ spl0_215
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f13865,f8814,f9475,f8870,f10046]) ).
thf(f13876,definition,
( spl0_292
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
thf(f13877,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f13876]) ).
thf(f13894,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_278
| ~ spl0_292 ),
inference(constrained_superposition,[],[f11530,f13877]) ).
thf(f13897,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_278
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f13894]) ).
thf(f13898,plain,
( $false
| ~ spl0_278
| ~ spl0_285
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f13897,f13635]) ).
thf(f13899,plain,
( ~ spl0_278
| ~ spl0_285
| ~ spl0_292 ),
inference(avatar_contradiction_clause,[],[f13898]) ).
thf(f13957,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_219
| ~ spl0_276 ),
inference(constrained_superposition,[],[f11422,f9490]) ).
thf(f13958,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_219
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f13957]) ).
thf(f13978,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_217 ),
inference(constrained_superposition,[],[f9483,f466]) ).
thf(f13982,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f13978]) ).
thf(f13989,plain,
( spl0_274
| ~ spl0_119
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f13982,f9482,f4639,f11397]) ).
thf(f13990,plain,
( ~ spl0_24
| ~ spl0_219
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f13958,f11421,f9489,f561]) ).
thf(f14015,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_222
| ~ spl0_290 ),
inference(constrained_superposition,[],[f9533,f13756]) ).
thf(f14017,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_222
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f14015]) ).
thf(f14019,plain,
( $false
| ~ spl0_222
| ~ spl0_290
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f14017,f13877]) ).
thf(f14020,plain,
( ~ spl0_222
| ~ spl0_290
| ~ spl0_292 ),
inference(avatar_contradiction_clause,[],[f14019]) ).
thf(f14028,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_160
| ~ spl0_290 ),
inference(constrained_superposition,[],[f6621,f13756]) ).
thf(f14036,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_160
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f14028]) ).
thf(f14124,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_285 ),
inference(avatar_component_clause,[],[f13634]) ).
thf(f14213,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f9605,f466]) ).
thf(f14214,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f9605,f58]) ).
thf(f14215,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f14213]) ).
thf(f14220,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f14214]) ).
thf(f14225,definition,
( spl0_299
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_299])],[avatar_definition]) ).
thf(f14226,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_299 ),
inference(avatar_component_clause,[],[f14225]) ).
thf(f14227,plain,
( spl0_299
| spl0_275
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f14215,f9604,f11402,f14225]) ).
thf(f14230,definition,
( spl0_300
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
thf(f14231,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f14230]) ).
thf(f14232,plain,
( spl0_300
| spl0_292
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f14220,f9604,f13876,f14230]) ).
thf(f14240,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f9105,f466]) ).
thf(f14241,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f9105,f58]) ).
thf(f14245,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f14241]) ).
thf(f14250,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f14240]) ).
thf(f14252,definition,
( spl0_301
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).
thf(f14253,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_301 ),
inference(avatar_component_clause,[],[f14252]) ).
thf(f14254,plain,
( spl0_292
| spl0_301
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f14245,f9104,f14252,f13876]) ).
thf(f14257,definition,
( spl0_302
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).
thf(f14258,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_302 ),
inference(avatar_component_clause,[],[f14257]) ).
thf(f14259,plain,
( spl0_275
| spl0_302
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f14250,f9104,f14257,f11402]) ).
thf(f14261,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_201 ),
inference(constrained_superposition,[],[f9151,f35]) ).
thf(f14267,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_201 ),
inference(constrained_superposition,[],[f9151,f466]) ).
thf(f14268,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_201 ),
inference(constrained_superposition,[],[f9151,f58]) ).
thf(f14272,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f14261]) ).
thf(f14273,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f14268]) ).
thf(f14276,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f14267]) ).
thf(f14280,definition,
( spl0_303
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).
thf(f14281,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f14280]) ).
thf(f14282,plain,
( spl0_303
| spl0_292
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f14273,f9150,f13876,f14280]) ).
thf(f14284,definition,
( spl0_304
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).
thf(f14285,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f14284]) ).
thf(f14286,plain,
( spl0_275
| spl0_304
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f14276,f9150,f14284,f11402]) ).
thf(f14306,definition,
( spl0_305
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
thf(f14307,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_305 ),
inference(avatar_component_clause,[],[f14306]) ).
thf(f14309,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_305 ),
inference(constrained_superposition,[],[f14307,f35]) ).
thf(f14312,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_305 ),
inference(trivial_inequality_removal,[],[f14309]) ).
thf(f14319,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_303 ),
inference(constrained_superposition,[],[f14281,f36]) ).
thf(f14324,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f14319]) ).
thf(f14338,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_234 ),
inference(constrained_superposition,[],[f10029,f58]) ).
thf(f14340,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_234 ),
inference(constrained_superposition,[],[f10029,f31]) ).
thf(f14341,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_234 ),
inference(trivial_inequality_removal,[],[f14340]) ).
thf(f14342,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_234 ),
inference(trivial_inequality_removal,[],[f14338]) ).
thf(f14344,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_181
| ~ spl0_304 ),
inference(constrained_superposition,[],[f14285,f8804]) ).
thf(f14359,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f14344]) ).
thf(f14363,plain,
( ~ spl0_216
| ~ spl0_218
| ~ spl0_181
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f14359,f14284,f8803,f9485,f9478]) ).
thf(f14364,plain,
( spl0_223
| ~ spl0_190
| spl0_219
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f13847,f8803,f9489,f8877,f9576]) ).
thf(f14367,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_160
| ~ spl0_285
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f14036,f13635]) ).
thf(f14368,plain,
( ~ spl0_190
| spl0_229
| spl0_221
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f13845,f8803,f9496,f9604,f8877]) ).
thf(f14369,plain,
( spl0_219
| spl0_305 ),
inference(avatar_split_clause,[],[f14312,f14306,f9489]) ).
thf(f14370,plain,
( spl0_221
| ~ spl0_160
| ~ spl0_285
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f14367,f13755,f13634,f6620,f9496]) ).
thf(f14372,plain,
( spl0_290
| spl0_234 ),
inference(avatar_split_clause,[],[f14342,f10028,f13755]) ).
thf(f14374,definition,
( spl0_306
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).
thf(f14375,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f14374]) ).
thf(f14376,plain,
( spl0_306
| spl0_290
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f13846,f8803,f13755,f14374]) ).
thf(f14377,plain,
( spl0_199
| ~ spl0_224
| spl0_290
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f13852,f8803,f13755,f9583,f9114]) ).
thf(f14378,plain,
( spl0_242
| spl0_290
| spl0_234 ),
inference(avatar_split_clause,[],[f14341,f10028,f13755,f10086]) ).
thf(f14380,definition,
( spl0_307
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).
thf(f14381,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f14380]) ).
thf(f14382,plain,
( spl0_188
| spl0_307
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f14272,f9150,f14380,f8870]) ).
thf(f14410,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f26,f9206]) ).
thf(f14411,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f14410]) ).
thf(f14413,plain,
( spl0_59
| spl0_212
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f14411,f9205,f9414,f2862]) ).
thf(f14452,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_181
| ~ spl0_300 ),
inference(constrained_superposition,[],[f14231,f8804]) ).
thf(f14453,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_300 ),
inference(constrained_superposition,[],[f14231,f1922]) ).
thf(f14465,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f14453]) ).
thf(f14466,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_181
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f14452]) ).
thf(f14474,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_181
| ~ spl0_307 ),
inference(constrained_superposition,[],[f14381,f8804]) ).
thf(f14488,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_181
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f14474]) ).
thf(f14492,plain,
( ~ spl0_218
| ~ spl0_305
| ~ spl0_181
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f14488,f14380,f8803,f14306,f9485]) ).
thf(f14494,plain,
( spl0_186
| ~ spl0_215
| spl0_239
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f13871,f8814,f10052,f9475,f8861]) ).
thf(f14496,plain,
( ~ spl0_70
| ~ spl0_67
| spl0_193
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f14465,f14230,f8891,f3582,f3636]) ).
thf(f14497,plain,
( ~ spl0_12
| ~ spl0_41
| spl0_186
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f14324,f14280,f8861,f717,f159]) ).
thf(f14499,definition,
( spl0_308
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).
thf(f14500,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_308 ),
inference(avatar_component_clause,[],[f14499]) ).
thf(f14506,plain,
( $false
| ~ spl0_8
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f8871,f121]) ).
thf(f14507,plain,
( ~ spl0_8
| ~ spl0_188 ),
inference(avatar_contradiction_clause,[],[f14506]) ).
thf(f14508,plain,
( $false
| ~ spl0_8
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f9490,f121]) ).
thf(f14509,plain,
( ~ spl0_8
| ~ spl0_219 ),
inference(avatar_contradiction_clause,[],[f14508]) ).
thf(f14517,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_36
| ~ spl0_285 ),
inference(constrained_superposition,[],[f617,f13635]) ).
thf(f14521,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_36
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f14517]) ).
thf(f14523,plain,
( $false
| ~ spl0_4
| ~ spl0_36
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f14521,f83]) ).
thf(f14524,plain,
( ~ spl0_4
| ~ spl0_36
| ~ spl0_285 ),
inference(avatar_contradiction_clause,[],[f14523]) ).
thf(f14563,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_183
| ~ spl0_201 ),
inference(constrained_superposition,[],[f9151,f8811]) ).
thf(f14583,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_183
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f14563]) ).
thf(f14692,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_276
| ~ spl0_290 ),
inference(constrained_superposition,[],[f11422,f13756]) ).
thf(f14695,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_276
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f14692]) ).
thf(f14696,plain,
( $false
| ~ spl0_276
| ~ spl0_285
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f14695,f13635]) ).
thf(f14697,plain,
( ~ spl0_276
| ~ spl0_285
| ~ spl0_290 ),
inference(avatar_contradiction_clause,[],[f14696]) ).
thf(f14698,plain,
( ~ spl0_215
| ~ spl0_234
| ~ spl0_181
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f14466,f14230,f8803,f10028,f9475]) ).
thf(f14742,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197
| ~ spl0_292 ),
inference(constrained_superposition,[],[f8917,f13877]) ).
thf(f14744,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f14742]) ).
thf(f14748,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_212
| ~ spl0_290 ),
inference(constrained_superposition,[],[f9415,f13756]) ).
thf(f14751,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f14748]) ).
thf(f14776,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_208
| ~ spl0_275 ),
inference(constrained_superposition,[],[f9233,f11403]) ).
thf(f14782,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_208
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f14776]) ).
thf(f14785,plain,
( $false
| ~ spl0_28
| ~ spl0_208
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f14782,f576]) ).
thf(f14786,plain,
( ~ spl0_28
| ~ spl0_208
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f14785]) ).
thf(f14959,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_188
| ~ spl0_278 ),
inference(constrained_superposition,[],[f11530,f8871]) ).
thf(f14960,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_188
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f14959]) ).
thf(f14964,plain,
( ~ spl0_24
| ~ spl0_188
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f14960,f11529,f8870,f561]) ).
thf(f14971,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_308 ),
inference(constrained_superposition,[],[f14500,f36]) ).
thf(f14973,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f14971]) ).
thf(f15014,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_181
| ~ spl0_299 ),
inference(constrained_superposition,[],[f14226,f8804]) ).
thf(f15032,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_181
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f15014]) ).
thf(f15082,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_181
| ~ spl0_183
| ~ spl0_201 ),
inference(constrained_superposition,[],[f14583,f8804]) ).
thf(f15092,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181
| ~ spl0_183
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f15082]) ).
thf(f15103,plain,
( ~ spl0_218
| ~ spl0_203
| ~ spl0_181
| ~ spl0_183
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f15092,f9150,f8810,f8803,f9208,f9485]) ).
thf(f15105,definition,
( spl0_309
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).
thf(f15106,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_309 ),
inference(avatar_component_clause,[],[f15105]) ).
thf(f15117,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_309 ),
inference(constrained_superposition,[],[f15106,f55]) ).
thf(f15123,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_309 ),
inference(trivial_inequality_removal,[],[f15117]) ).
thf(f15125,definition,
( spl0_310
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).
thf(f15126,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f15125]) ).
thf(f15130,plain,
( spl0_310
| spl0_210
| spl0_309 ),
inference(avatar_split_clause,[],[f15123,f15105,f9267,f15125]) ).
thf(f15162,plain,
( ~ spl0_227
| spl0_225
| spl0_226
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f13851,f8803,f9590,f9586,f9593]) ).
thf(f15178,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f9605,f35]) ).
thf(f15191,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f15178]) ).
thf(f15198,definition,
( spl0_311
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).
thf(f15199,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f15198]) ).
thf(f15200,plain,
( spl0_188
| spl0_311
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f15191,f9604,f15198,f8870]) ).
thf(f15201,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_181
| ~ spl0_311 ),
inference(constrained_superposition,[],[f15199,f8804]) ).
thf(f15212,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_181
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f15201]) ).
thf(f15226,plain,
( ~ spl0_215
| ~ spl0_305
| ~ spl0_181
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f15212,f15198,f8803,f14306,f9475]) ).
thf(f15230,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_188
| ~ spl0_197 ),
inference(constrained_superposition,[],[f8917,f8871]) ).
thf(f15235,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_188
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f15230]) ).
thf(f15316,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_272 ),
inference(constrained_superposition,[],[f11368,f35]) ).
thf(f15322,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_272 ),
inference(constrained_superposition,[],[f11368,f58]) ).
thf(f15326,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f15316]) ).
thf(f15327,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f15322]) ).
thf(f15331,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_188
| ~ spl0_197
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f15326,f15235]) ).
thf(f15332,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_197
| ~ spl0_272
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f15327,f14744]) ).
thf(f15333,plain,
( ~ spl0_41
| ~ spl0_188
| ~ spl0_197
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f15331,f11367,f8916,f8870,f717]) ).
thf(f15334,plain,
( ~ spl0_43
| ~ spl0_197
| ~ spl0_272
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f15332,f13876,f11367,f8916,f739]) ).
thf(f15348,plain,
( $false
| ~ spl0_212
| ~ spl0_289
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f14751,f13752]) ).
thf(f15349,plain,
( ~ spl0_212
| ~ spl0_289
| ~ spl0_290 ),
inference(avatar_contradiction_clause,[],[f15348]) ).
thf(f15356,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_58
| ~ spl0_249 ),
inference(constrained_superposition,[],[f2860,f10342]) ).
thf(f15359,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_58
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f15356]) ).
thf(f15362,plain,
( $false
| ~ spl0_58
| ~ spl0_249
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f15359,f10534]) ).
thf(f15363,plain,
( ~ spl0_58
| ~ spl0_249
| ~ spl0_264 ),
inference(avatar_contradiction_clause,[],[f15362]) ).
thf(f15376,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_184
| ~ spl0_239 ),
inference(constrained_superposition,[],[f10053,f8815]) ).
thf(f15392,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f15376]) ).
thf(f15394,plain,
( ~ spl0_190
| spl0_241
| ~ spl0_184
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f15392,f10052,f8814,f10075,f8877]) ).
thf(f15406,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_241 ),
inference(constrained_superposition,[],[f10076,f58]) ).
thf(f15411,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f15406]) ).
thf(f15415,plain,
( ~ spl0_200
| spl0_290
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f15411,f10075,f13755,f9117]) ).
thf(f15416,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_200 ),
inference(constrained_superposition,[],[f9118,f58]) ).
thf(f15421,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_200 ),
inference(trivial_inequality_removal,[],[f15416]) ).
thf(f15427,plain,
( ! [X0: $i] :
( ( $true
!= ( 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 != $true ) )
| ~ spl0_181
| ~ spl0_220 ),
inference(constrained_superposition,[],[f9493,f8804]) ).
thf(f15435,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f15427]) ).
thf(f15439,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_181
| ~ spl0_183
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f15435,f8811]) ).
thf(f15440,plain,
( spl0_191
| ~ spl0_181
| ~ spl0_183
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f15439,f9492,f8810,f8803,f8880]) ).
thf(f15550,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_280 ),
inference(constrained_superposition,[],[f12053,f465]) ).
thf(f15558,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f15550]) ).
thf(f15567,definition,
( spl0_314
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).
thf(f15568,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f15567]) ).
thf(f15569,plain,
( spl0_314
| spl0_214
| ~ spl0_50
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f15558,f12052,f1164,f9471,f15567]) ).
thf(f15573,definition,
( spl0_315
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).
thf(f15574,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f15573]) ).
thf(f15615,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f10356,f1922]) ).
thf(f15623,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f15615]) ).
thf(f15632,plain,
( spl0_225
| spl0_217
| ~ spl0_136
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f15623,f10355,f5207,f9482,f9586]) ).
thf(f15653,definition,
( spl0_317
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
thf(f15654,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f15653]) ).
thf(f15661,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_184
| ~ spl0_317 ),
inference(constrained_superposition,[],[f15654,f8815]) ).
thf(f15671,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_184
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f15661]) ).
thf(f15676,plain,
( ~ spl0_215
| ~ spl0_184
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f15671,f15653,f8814,f9475]) ).
thf(f15683,plain,
( ~ spl0_216
| ~ spl0_215
| ~ spl0_181
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f15032,f14225,f8803,f9475,f9478]) ).
thf(f15704,definition,
( spl0_320
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_320])],[avatar_definition]) ).
thf(f15705,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_320 ),
inference(avatar_component_clause,[],[f15704]) ).
thf(f15709,plain,
( spl0_292
| spl0_200 ),
inference(avatar_split_clause,[],[f15421,f9117,f13876]) ).
thf(f15748,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_212
| ~ spl0_290 ),
inference(constrained_superposition,[],[f9415,f13756]) ).
thf(f15751,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f15748]) ).
thf(f15876,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183
| ~ spl0_195 ),
inference(constrained_superposition,[],[f8901,f8811]) ).
thf(f15886,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f15876]) ).
thf(f15892,plain,
( ~ spl0_224
| spl0_191
| ~ spl0_183
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f15886,f8900,f8810,f8880,f9583]) ).
thf(f15897,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_70 ),
inference(constrained_superposition,[],[f3637,f58]) ).
thf(f15899,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_70 ),
inference(constrained_superposition,[],[f3637,f31]) ).
thf(f15900,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_70 ),
inference(trivial_inequality_removal,[],[f15897]) ).
thf(f15901,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_70 ),
inference(trivial_inequality_removal,[],[f15899]) ).
thf(f15905,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_70
| ~ spl0_212
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f15901,f15751]) ).
thf(f15907,plain,
( $false
| spl0_66
| spl0_70
| ~ spl0_212
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f15905,f6034]) ).
thf(f15908,plain,
( spl0_66
| spl0_70
| ~ spl0_212
| ~ spl0_290 ),
inference(avatar_contradiction_clause,[],[f15907]) ).
thf(f15911,plain,
( spl0_289
| spl0_70 ),
inference(avatar_split_clause,[],[f15900,f3636,f13751]) ).
thf(f15913,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_66
| spl0_70 ),
inference(forward_subsumption_resolution,[],[f15901,f6034]) ).
thf(f15914,plain,
( spl0_289
| spl0_66
| spl0_70 ),
inference(avatar_split_clause,[],[f15913,f3636,f3579,f13751]) ).
thf(f15917,definition,
( spl0_321
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_321])],[avatar_definition]) ).
thf(f15918,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_321 ),
inference(avatar_component_clause,[],[f15917]) ).
thf(f15921,plain,
( ~ spl0_224
| spl0_198
| spl0_228
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f13848,f8803,f9599,f9104,f9583]) ).
thf(f15953,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_196 ),
inference(constrained_superposition,[],[f124,f8904]) ).
thf(f15956,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f15953]) ).
thf(f15988,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_321 ),
inference(constrained_superposition,[],[f15918,f466]) ).
thf(f15989,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_321 ),
inference(constrained_superposition,[],[f15918,f58]) ).
thf(f15996,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f15989]) ).
thf(f15997,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f15988]) ).
thf(f16009,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_183
| ~ spl0_317 ),
inference(constrained_superposition,[],[f15654,f8811]) ).
thf(f16012,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_183
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f16009]) ).
thf(f16020,plain,
( ~ spl0_67
| ~ spl0_183
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f16012,f15653,f8810,f3582]) ).
thf(f16021,plain,
( $false
| ~ spl0_9
| ~ spl0_186
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f8862,f15956]) ).
thf(f16022,plain,
( ~ spl0_9
| ~ spl0_186
| ~ spl0_196 ),
inference(avatar_contradiction_clause,[],[f16021]) ).
thf(f16023,plain,
( ~ spl0_12
| spl0_289
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f15996,f15917,f13751,f159]) ).
thf(f16024,plain,
( ~ spl0_32
| spl0_112
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f15997,f15917,f4603,f596]) ).
thf(f16026,definition,
( spl0_322
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).
thf(f16027,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f16026]) ).
thf(f16058,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_58
| ~ spl0_112 ),
inference(constrained_superposition,[],[f2860,f4604]) ).
thf(f16061,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_58
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f16058]) ).
thf(f16063,plain,
( $false
| ~ spl0_27
| ~ spl0_58
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f16061,f572]) ).
thf(f16064,plain,
( ~ spl0_27
| ~ spl0_58
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f16063]) ).
thf(f16215,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f26,f11398]) ).
thf(f16216,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f16215]) ).
thf(f16217,plain,
( spl0_276
| spl0_37
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f16216,f11397,f628,f11421]) ).
thf(f16267,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_183
| ~ spl0_199 ),
inference(constrained_superposition,[],[f9115,f8811]) ).
thf(f16272,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_183
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f16267]) ).
thf(f16278,plain,
( ~ spl0_71
| ~ spl0_183
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f16272,f9114,f8810,f3772]) ).
thf(f16337,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_181
| ~ spl0_314 ),
inference(constrained_superposition,[],[f15568,f8804]) ).
thf(f16338,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_203
| ~ spl0_314 ),
inference(constrained_superposition,[],[f15568,f9209]) ).
thf(f16345,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_203
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f16338]) ).
thf(f16349,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_181
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f16337]) ).
thf(f16350,plain,
( ~ spl0_136
| ~ spl0_203
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f16345,f15567,f9208,f5207]) ).
thf(f16351,plain,
( ~ spl0_192
| ~ spl0_181
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f16349,f15567,f8803,f8886]) ).
thf(f16409,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_222
| ~ spl0_274 ),
inference(constrained_superposition,[],[f9533,f11398]) ).
thf(f16410,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_219
| ~ spl0_222 ),
inference(constrained_superposition,[],[f9533,f9490]) ).
thf(f16411,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_222
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f16409]) ).
thf(f16412,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_219
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f16410]) ).
thf(f16419,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_203
| ~ spl0_241 ),
inference(constrained_superposition,[],[f10076,f9209]) ).
thf(f16425,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f16419]) ).
thf(f16431,plain,
( $false
| ~ spl0_183
| ~ spl0_203
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f16425,f8811]) ).
thf(f16432,plain,
( ~ spl0_183
| ~ spl0_203
| ~ spl0_241 ),
inference(avatar_contradiction_clause,[],[f16431]) ).
thf(f16435,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_181
| ~ spl0_302 ),
inference(constrained_superposition,[],[f14258,f8804]) ).
thf(f16445,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f16435]) ).
thf(f16595,plain,
( $false
| ~ spl0_188
| ~ spl0_219
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f8871,f16412]) ).
thf(f16596,plain,
( ~ spl0_188
| ~ spl0_219
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f16595]) ).
thf(f16599,plain,
( $false
| ~ spl0_222
| ~ spl0_274
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f11403,f16411]) ).
thf(f16600,plain,
( ~ spl0_222
| ~ spl0_274
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f16599]) ).
thf(f16601,plain,
( ~ spl0_216
| ~ spl0_233
| ~ spl0_181
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f16445,f14257,f8803,f10024,f9478]) ).
thf(f16642,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f58,f603]) ).
thf(f16741,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f16642,f28]) ).
thf(f16749,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f16741,f29]) ).
thf(f16750,plain,
~ spl0_34,
inference(avatar_contradiction_clause,[],[f16749]) ).
thf(f16759,plain,
( ( $true
= ( 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 ) ) ) ) ) )
| spl0_34 ),
inference(extensionality_resolution,[],[f463,f8761]) ).
thf(f16760,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_34 ),
inference(extensionality_resolution,[],[f463,f8761]) ).
thf(f16762,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_34 ),
inference(extensionality_resolution,[],[f55,f8761]) ).
thf(f16767,plain,
( spl0_185
| spl0_184
| spl0_34 ),
inference(avatar_split_clause,[],[f16759,f602,f8814,f8817]) ).
thf(f16768,plain,
( spl0_183
| spl0_182
| spl0_34 ),
inference(avatar_split_clause,[],[f16762,f602,f8807,f8810]) ).
thf(f16813,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_213
| ~ spl0_290 ),
inference(constrained_superposition,[],[f9430,f13756]) ).
thf(f16816,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_213
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f16813]) ).
thf(f16819,plain,
( $false
| ~ spl0_4
| ~ spl0_213
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f16816,f83]) ).
thf(f16820,plain,
( ~ spl0_4
| ~ spl0_213
| ~ spl0_290 ),
inference(avatar_contradiction_clause,[],[f16819]) ).
thf(f16826,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_214 ),
inference(constrained_superposition,[],[f617,f9472]) ).
thf(f16829,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f16826]) ).
thf(f16849,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_126
| ~ spl0_193 ),
inference(constrained_superposition,[],[f4940,f8892]) ).
thf(f16854,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_126
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f16849]) ).
thf(f16863,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_219
| ~ spl0_243 ),
inference(constrained_superposition,[],[f10096,f9490]) ).
thf(f16865,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_219
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f16863]) ).
thf(f16868,plain,
( ~ spl0_1
| ~ spl0_219
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f16865,f10095,f9489,f72]) ).
thf(f16875,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_322 ),
inference(constrained_superposition,[],[f16027,f58]) ).
thf(f16880,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f16875]) ).
thf(f16884,plain,
( spl0_292
| ~ spl0_43
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f16880,f16026,f739,f13876]) ).
thf(f16914,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197
| ~ spl0_292 ),
inference(constrained_superposition,[],[f8917,f13877]) ).
thf(f16917,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f16914]) ).
thf(f16919,plain,
( $false
| ~ spl0_197
| ~ spl0_289
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f16917,f13752]) ).
thf(f16920,plain,
( ~ spl0_197
| ~ spl0_289
| ~ spl0_292 ),
inference(avatar_contradiction_clause,[],[f16919]) ).
thf(f16952,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_203
| ~ spl0_315 ),
inference(constrained_superposition,[],[f15574,f9209]) ).
thf(f16953,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_315 ),
inference(constrained_superposition,[],[f15574,f466]) ).
thf(f16960,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_203
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f16952]) ).
thf(f16963,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f16953]) ).
thf(f16964,plain,
( ~ spl0_67
| ~ spl0_203
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f16960,f15573,f9208,f3582]) ).
thf(f16965,plain,
( spl0_274
| ~ spl0_32
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f16963,f15573,f596,f11397]) ).
thf(f16966,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_184
| ~ spl0_322 ),
inference(constrained_superposition,[],[f16027,f8815]) ).
thf(f16969,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f1138,f8815]) ).
thf(f16972,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f70,f8815]) ).
thf(f16975,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f32,f8815]) ).
thf(f16976,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f16975]) ).
thf(f16978,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f16972]) ).
thf(f16979,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f16969]) ).
thf(f16980,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_184
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f16966]) ).
thf(f16986,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_184
| spl0_196 ),
inference(forward_subsumption_resolution,[],[f16978,f9529]) ).
thf(f16987,plain,
( ~ spl0_218
| spl0_275
| spl0_238
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f16979,f8814,f10046,f11402,f9485]) ).
thf(f16988,plain,
( ~ spl0_218
| ~ spl0_184
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f16980,f16026,f8814,f9485]) ).
thf(f16990,plain,
( ~ spl0_233
| spl0_280
| ~ spl0_184
| spl0_196 ),
inference(avatar_split_clause,[],[f16986,f8903,f8814,f12052,f10024]) ).
thf(f17070,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_181
| ~ spl0_301 ),
inference(constrained_superposition,[],[f14253,f8804]) ).
thf(f17083,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_181
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f17070]) ).
thf(f17090,plain,
( ~ spl0_234
| ~ spl0_233
| ~ spl0_181
| ~ spl0_301 ),
inference(avatar_split_clause,[],[f17083,f14252,f8803,f10024,f10028]) ).
thf(f17092,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_160
| ~ spl0_193 ),
inference(constrained_superposition,[],[f6621,f8892]) ).
thf(f17101,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_160
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f17092]) ).
thf(f17155,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_184
| ~ spl0_280 ),
inference(constrained_superposition,[],[f12053,f8815]) ).
thf(f17165,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_184
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f17155]) ).
thf(f17173,plain,
( spl0_241
| ~ spl0_224
| ~ spl0_184
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f17165,f12052,f8814,f9583,f10075]) ).
thf(f17182,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_184
| ~ spl0_251 ),
inference(constrained_superposition,[],[f10356,f8815]) ).
thf(f17198,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_184
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f17182]) ).
thf(f17200,plain,
( spl0_241
| ~ spl0_192
| ~ spl0_184
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f17198,f10355,f8814,f8886,f10075]) ).
thf(f17329,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_238 ),
inference(constrained_superposition,[],[f10047,f465]) ).
thf(f17333,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_238 ),
inference(constrained_superposition,[],[f10047,f36]) ).
thf(f17339,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f17329]) ).
thf(f17341,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f17333]) ).
thf(f17353,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_320 ),
inference(constrained_superposition,[],[f15705,f466]) ).
thf(f17358,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f17353]) ).
thf(f17406,definition,
( spl0_324
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f17407,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f17406]) ).
thf(f17422,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_203
| ~ spl0_306 ),
inference(constrained_superposition,[],[f14375,f9209]) ).
thf(f17427,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_203
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f17422]) ).
thf(f17457,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f17407,f35]) ).
thf(f17469,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f17457]) ).
thf(f17471,plain,
( spl0_248
| ~ spl0_86
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f17469,f17406,f3965,f10337]) ).
thf(f17591,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f16976,f35]) ).
thf(f17596,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_184
| ~ spl0_203 ),
inference(constrained_superposition,[],[f16976,f9209]) ).
thf(f17599,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f17591]) ).
thf(f17600,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_184
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f17596]) ).
thf(f17610,definition,
( spl0_326
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).
thf(f17611,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_326 ),
inference(avatar_component_clause,[],[f17610]) ).
thf(f17619,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_184
| ~ spl0_326 ),
inference(constrained_superposition,[],[f17611,f8815]) ).
thf(f17631,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_184
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f17619]) ).
thf(f17636,plain,
( ~ spl0_216
| spl0_314
| ~ spl0_184
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f17631,f17610,f8814,f15567,f9478]) ).
thf(f17638,plain,
( $false
| ~ spl0_126
| ~ spl0_187
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f8866,f16854]) ).
thf(f17639,plain,
( ~ spl0_126
| ~ spl0_187
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f17638]) ).
thf(f17649,plain,
( ~ spl0_71
| ~ spl0_183
| spl0_191
| ~ spl0_203
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f17427,f14374,f9208,f8880,f8810,f3772]) ).
thf(f17650,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_214
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f17341,f16829]) ).
thf(f17653,plain,
( spl0_275
| ~ spl0_50
| ~ spl0_119
| spl0_272
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f17358,f15704,f11367,f4639,f1164,f11402]) ).
thf(f17655,plain,
( spl0_189
| ~ spl0_183
| ~ spl0_184
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f17600,f9208,f8814,f8810,f8873]) ).
thf(f17658,plain,
( spl0_315
| ~ spl0_282
| ~ spl0_36
| ~ spl0_214
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f17650,f10046,f9471,f616,f13394,f15573]) ).
thf(f17660,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_187 ),
inference(avatar_component_clause,[],[f8865]) ).
thf(f17661,plain,
( ~ spl0_187
| spl0_74
| ~ spl0_160
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f17101,f8891,f6620,f3811,f8865]) ).
thf(f17744,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_181
| ~ spl0_315 ),
inference(constrained_superposition,[],[f15574,f8804]) ).
thf(f17754,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_181
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f17744]) ).
thf(f17757,plain,
( ~ spl0_190
| ~ spl0_181
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f17754,f15573,f8803,f8877]) ).
thf(f17759,plain,
( spl0_315
| ~ spl0_282
| spl0_221
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f17341,f10046,f9496,f13394,f15573]) ).
thf(f17764,plain,
( ~ spl0_194
| spl0_314
| spl0_214
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f17339,f10046,f9471,f15567,f8895]) ).
thf(f17766,definition,
( spl0_327
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).
thf(f17767,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_327 ),
inference(avatar_component_clause,[],[f17766]) ).
thf(f17768,plain,
( ~ spl0_282
| spl0_327
| spl0_219
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f17599,f8814,f9489,f17766,f13394]) ).
thf(f17787,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_188
| ~ spl0_197 ),
inference(constrained_superposition,[],[f8917,f8871]) ).
thf(f17791,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_188
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f17787]) ).
thf(f17794,plain,
( $false
| ~ spl0_87
| ~ spl0_188
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f17791,f3972]) ).
thf(f17795,plain,
( ~ spl0_87
| ~ spl0_188
| ~ spl0_197 ),
inference(avatar_contradiction_clause,[],[f17794]) ).
thf(f17930,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_314 ),
inference(constrained_superposition,[],[f15568,f35]) ).
thf(f17944,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f17930]) ).
thf(f17947,plain,
( ~ spl0_41
| spl0_219
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f17944,f15567,f9489,f717]) ).
thf(f18049,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183
| ~ spl0_326 ),
inference(constrained_superposition,[],[f17611,f8811]) ).
thf(f18051,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_326 ),
inference(constrained_superposition,[],[f17611,f58]) ).
thf(f18052,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f18049]) ).
thf(f18057,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f18051]) ).
thf(f18068,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_184
| ~ spl0_189 ),
inference(constrained_superposition,[],[f8874,f8815]) ).
thf(f18069,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( 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 @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_189
| ~ spl0_207 ),
inference(constrained_superposition,[],[f8874,f9223]) ).
thf(f18076,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_189
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f18069]) ).
thf(f18079,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_184
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f18068]) ).
thf(f18084,plain,
( spl0_324
| ~ spl0_309
| ~ spl0_189
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f18076,f9222,f8873,f15105,f17406]) ).
thf(f18085,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_184
| ~ spl0_189
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f18079,f9209]) ).
thf(f18086,plain,
( spl0_217
| ~ spl0_184
| ~ spl0_189
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f18085,f9208,f8873,f8814,f9482]) ).
thf(f18087,plain,
( ~ spl0_119
| spl0_272
| ~ spl0_183
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f18052,f17610,f8810,f11367,f4639]) ).
thf(f18091,plain,
( spl0_292
| spl0_48
| ~ spl0_50
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f18057,f17610,f1164,f1158,f13876]) ).
thf(f18185,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_183
| ~ spl0_226 ),
inference(constrained_superposition,[],[f9591,f8811]) ).
thf(f18195,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f18185]) ).
thf(f18231,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_181
| ~ spl0_183
| ~ spl0_226 ),
inference(constrained_superposition,[],[f18195,f8804]) ).
thf(f18250,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_181
| ~ spl0_183
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f18231]) ).
thf(f18253,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_181
| ~ spl0_183
| ~ spl0_203
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f18250,f9209]) ).
thf(f18254,plain,
( ~ spl0_236
| ~ spl0_181
| ~ spl0_183
| ~ spl0_203
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f18253,f9590,f9208,f8810,f8803,f10036]) ).
thf(f18308,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_182 ),
inference(constrained_superposition,[],[f26,f8808]) ).
thf(f18312,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f18308]) ).
thf(f18313,plain,
( spl0_59
| spl0_197
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f18312,f8807,f8916,f2862]) ).
thf(f18331,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f32,f8815]) ).
thf(f18333,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f18331]) ).
thf(f18354,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_181
| ~ spl0_235 ),
inference(constrained_superposition,[],[f10032,f8804]) ).
thf(f18363,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_181
| ~ spl0_235 ),
inference(trivial_inequality_removal,[],[f18354]) ).
thf(f18367,plain,
( ~ spl0_224
| ~ spl0_181
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f18363,f10031,f8803,f9583]) ).
thf(f18370,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_128 ),
inference(avatar_component_clause,[],[f4947]) ).
thf(f18375,definition,
( spl0_329
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
thf(f18376,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f18375]) ).
thf(f18377,plain,
( ~ spl0_43
| spl0_329
| spl0_42 ),
inference(avatar_split_clause,[],[f732,f736,f18375,f739]) ).
thf(f18522,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| ~ spl0_214 ),
inference(constrained_superposition,[],[f211,f9472]) ).
thf(f18528,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f18522]) ).
thf(f18535,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f4592,f35]) ).
thf(f18542,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f18535]) ).
thf(f18546,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_24
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f18542,f4027]) ).
thf(f18549,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f18546,f57]) ).
thf(f18556,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f18549]) ).
thf(f18561,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_24
| spl0_27
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f18556,f3863]) ).
thf(f18562,plain,
( ~ spl0_6
| ~ spl0_12
| spl0_24
| spl0_27
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f18561,f4591,f571,f561,f159,f105]) ).
thf(f18585,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f15654,f466]) ).
thf(f18594,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f18585]) ).
thf(f18595,plain,
( ~ spl0_32
| spl0_275
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f18594,f15653,f11402,f596]) ).
thf(f18623,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_327 ),
inference(constrained_superposition,[],[f17767,f466]) ).
thf(f18633,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f18623]) ).
thf(f18635,definition,
( spl0_330
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).
thf(f18636,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_330 ),
inference(avatar_component_clause,[],[f18635]) ).
thf(f18637,plain,
( spl0_275
| ~ spl0_41
| spl0_330
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f18633,f17766,f18635,f717,f11402]) ).
thf(f18735,plain,
( ( $true != $true )
| ~ spl0_37
| ~ spl0_274 ),
inference(constrained_superposition,[],[f629,f11398]) ).
thf(f18736,plain,
( ( $true != $true )
| ~ spl0_37
| ~ spl0_112 ),
inference(constrained_superposition,[],[f629,f4604]) ).
thf(f18737,plain,
( $false
| ~ spl0_37
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f18736]) ).
thf(f18738,plain,
( ~ spl0_37
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f18737]) ).
thf(f18739,plain,
( $false
| ~ spl0_37
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f18735]) ).
thf(f18740,plain,
( ~ spl0_37
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f18739]) ).
thf(f18741,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| spl0_24
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f18528,f4027]) ).
thf(f18743,plain,
( ~ spl0_228
| ~ spl0_18
| spl0_24
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f18741,f9471,f561,f210,f9599]) ).
thf(f18750,plain,
( ( $true != $true )
| ~ spl0_59
| ~ spl0_182 ),
inference(constrained_superposition,[],[f2863,f8808]) ).
thf(f18751,plain,
( $false
| ~ spl0_59
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f18750]) ).
thf(f18752,plain,
( ~ spl0_59
| ~ spl0_182 ),
inference(avatar_contradiction_clause,[],[f18751]) ).
thf(f18761,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_54
| ~ spl0_128 ),
inference(constrained_superposition,[],[f1627,f4948]) ).
thf(f18765,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_54
| ~ spl0_128 ),
inference(trivial_inequality_removal,[],[f18761]) ).
thf(f18767,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_54
| spl0_66
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f18765,f6034]) ).
thf(f18768,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_54
| spl0_66
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f18767,f30]) ).
thf(f18769,plain,
( spl0_74
| ~ spl0_54
| spl0_66
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f18768,f4947,f3579,f1626,f3811]) ).
thf(f18807,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_187 ),
inference(constrained_superposition,[],[f211,f8866]) ).
thf(f18809,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f18807]) ).
thf(f18816,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| spl0_24
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f18809,f4027]) ).
thf(f18817,plain,
( ~ spl0_196
| ~ spl0_18
| spl0_24
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f18816,f8865,f561,f210,f8903]) ).
thf(f18828,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_16
| spl0_285 ),
inference(constrained_superposition,[],[f14124,f202]) ).
thf(f18833,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_16
| ~ spl0_245 ),
inference(constrained_superposition,[],[f10287,f202]) ).
thf(f18844,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_245 ),
inference(trivial_inequality_removal,[],[f18833]) ).
thf(f18847,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_16
| spl0_285 ),
inference(trivial_inequality_removal,[],[f18828]) ).
thf(f18853,plain,
( $false
| ~ spl0_16
| spl0_24
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f18847,f4027]) ).
thf(f18854,plain,
( ~ spl0_16
| spl0_24
| spl0_285 ),
inference(avatar_contradiction_clause,[],[f18853]) ).
thf(f18881,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_275 ),
inference(constrained_superposition,[],[f26,f11403]) ).
thf(f18884,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f18881]) ).
thf(f18885,plain,
( spl0_37
| spl0_278
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f18884,f11402,f11529,f628]) ).
thf(f18894,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_182
| ~ spl0_278 ),
inference(constrained_superposition,[],[f11530,f8808]) ).
thf(f18901,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_182
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f18894]) ).
thf(f18903,plain,
( $false
| ~ spl0_128
| ~ spl0_182
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f18901,f4948]) ).
thf(f18904,plain,
( ~ spl0_128
| ~ spl0_182
| ~ spl0_278 ),
inference(avatar_contradiction_clause,[],[f18903]) ).
thf(f18907,plain,
( ( $true != $true )
| ~ spl0_37
| ~ spl0_275 ),
inference(constrained_superposition,[],[f629,f11403]) ).
thf(f18908,plain,
( $false
| ~ spl0_37
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f18907]) ).
thf(f18909,plain,
( ~ spl0_37
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f18908]) ).
thf(f18910,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_4 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f18912,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_292 ),
inference(avatar_component_clause,[],[f13876]) ).
thf(f18913,plain,
( spl0_248
| ~ spl0_292
| ~ spl0_16
| ~ spl0_245 ),
inference(avatar_split_clause,[],[f18844,f10286,f201,f13876,f10337]) ).
thf(f18924,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_100
| ~ spl0_289 ),
inference(constrained_superposition,[],[f4254,f13752]) ).
thf(f18929,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_100
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f18924]) ).
thf(f18966,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f150,f8811]) ).
thf(f18967,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f70,f8811]) ).
thf(f18970,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f32,f8811]) ).
thf(f18974,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f18966]) ).
thf(f18977,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f18970]) ).
thf(f18978,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f18967]) ).
thf(f19050,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_16
| ~ spl0_276 ),
inference(constrained_superposition,[],[f11422,f202]) ).
thf(f19053,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_16
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f19050]) ).
thf(f19067,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_311 ),
inference(constrained_superposition,[],[f15199,f57]) ).
thf(f19081,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f19067]) ).
thf(f19082,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_196
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[],[f19081,f9529]) ).
thf(f19083,plain,
( ~ spl0_6
| ~ spl0_12
| spl0_196
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f19082,f15198,f8903,f159,f105]) ).
thf(f19085,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_217 ),
inference(constrained_superposition,[],[f9483,f35]) ).
thf(f19100,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f19085]) ).
thf(f19107,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_184
| ~ spl0_327 ),
inference(constrained_superposition,[],[f17767,f8815]) ).
thf(f19108,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_183
| ~ spl0_327 ),
inference(constrained_superposition,[],[f17767,f8811]) ).
thf(f19113,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_184
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f19107]) ).
thf(f19116,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_183
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f19108]) ).
thf(f19121,plain,
( ~ spl0_305
| spl0_315
| ~ spl0_184
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f19113,f17766,f8814,f15573,f14306]) ).
thf(f19122,plain,
( ~ spl0_86
| spl0_321
| ~ spl0_183
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f19116,f17766,f8810,f15917,f3965]) ).
thf(f19350,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f8874,f466]) ).
thf(f19361,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f19350]) ).
thf(f19364,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_223 ),
inference(constrained_superposition,[],[f9577,f35]) ).
thf(f19370,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_223 ),
inference(constrained_superposition,[],[f9577,f466]) ).
thf(f19372,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f19370]) ).
thf(f19373,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f19364]) ).
thf(f19438,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18
| ~ spl0_97 ),
inference(constrained_superposition,[],[f211,f4173]) ).
thf(f19444,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f19438]) ).
thf(f19447,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f18977,f35]) ).
thf(f19454,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f18977,f466]) ).
thf(f19455,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f18977,f58]) ).
thf(f19460,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f19455]) ).
thf(f19464,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f19447]) ).
thf(f19465,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f19454]) ).
thf(f19501,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f18333,f58]) ).
thf(f19508,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f19501]) ).
thf(f19512,definition,
( spl0_331
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
thf(f19513,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f19512]) ).
thf(f19514,plain,
( spl0_331
| ~ spl0_200
| spl0_290
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f19508,f8814,f13755,f9117,f19512]) ).
thf(f19520,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_184
| ~ spl0_331 ),
inference(constrained_superposition,[],[f19513,f8815]) ).
thf(f19531,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_184
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f19520]) ).
thf(f19536,plain,
( ~ spl0_234
| spl0_235
| ~ spl0_184
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f19531,f19512,f8814,f10031,f10028]) ).
thf(f19538,plain,
( spl0_317
| spl0_219
| ~ spl0_190
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f19373,f9576,f8877,f9489,f15653]) ).
thf(f19539,plain,
( ~ spl0_4
| ~ spl0_100
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f18929,f13751,f4253,f82]) ).
thf(f19542,plain,
( ~ spl0_119
| spl0_326
| spl0_275
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f19465,f8810,f11402,f17610,f4639]) ).
thf(f19544,plain,
( ~ spl0_86
| spl0_219
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f19100,f9482,f9489,f3965]) ).
thf(f19547,definition,
( spl0_332
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition]) ).
thf(f19548,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f19547]) ).
thf(f19549,plain,
( spl0_24
| spl0_332
| ~ spl0_18
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f19444,f4172,f210,f19547,f561]) ).
thf(f19551,plain,
( spl0_219
| ~ spl0_285
| ~ spl0_16
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f19053,f11421,f201,f13634,f9489]) ).
thf(f19552,plain,
( ~ spl0_136
| spl0_272
| spl0_275
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f19361,f8873,f11402,f11367,f5207]) ).
thf(f19562,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_97
| spl0_285 ),
inference(constrained_superposition,[],[f14124,f4173]) ).
thf(f19563,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_97
| spl0_285 ),
inference(trivial_inequality_removal,[],[f19562]) ).
thf(f19564,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_97
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f19563,f27]) ).
thf(f19565,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_97
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f19564,f30]) ).
thf(f19566,plain,
( $false
| spl0_4
| ~ spl0_97
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f19565,f18910]) ).
thf(f19567,plain,
( spl0_4
| ~ spl0_97
| spl0_285 ),
inference(avatar_contradiction_clause,[],[f19566]) ).
thf(f19576,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_77 ),
inference(constrained_superposition,[],[f124,f3842]) ).
thf(f19580,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f19576]) ).
thf(f19582,plain,
( $false
| ~ spl0_9
| ~ spl0_74
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f19580,f3812]) ).
thf(f19583,plain,
( ~ spl0_9
| ~ spl0_74
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f19582]) ).
thf(f19584,plain,
( spl0_322
| spl0_274
| ~ spl0_192
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f19372,f9576,f8886,f11397,f16026]) ).
thf(f19643,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_216 ),
inference(constrained_superposition,[],[f9479,f37]) ).
thf(f19644,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_216 ),
inference(constrained_superposition,[],[f9479,f31]) ).
thf(f19646,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_216 ),
inference(trivial_inequality_removal,[],[f19644]) ).
thf(f19647,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_216 ),
inference(trivial_inequality_removal,[],[f19643]) ).
thf(f19649,plain,
( spl0_274
| spl0_240
| spl0_216 ),
inference(avatar_split_clause,[],[f19646,f9478,f10071,f11397]) ).
thf(f19650,plain,
( spl0_210
| spl0_274
| spl0_216 ),
inference(avatar_split_clause,[],[f19647,f9478,f11397,f9267]) ).
thf(f19686,plain,
( $false
| ~ spl0_59
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[],[f9206,f2863]) ).
thf(f19687,plain,
( ~ spl0_59
| ~ spl0_202 ),
inference(avatar_contradiction_clause,[],[f19686]) ).
thf(f19688,plain,
( ~ spl0_70
| spl0_292
| spl0_331
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f19460,f8810,f19512,f13876,f3636]) ).
thf(f19690,plain,
( spl0_292
| spl0_320
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f18974,f8810,f15704,f13876]) ).
thf(f19704,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_208
| ~ spl0_292 ),
inference(constrained_superposition,[],[f9233,f13877]) ).
thf(f19707,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_208
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f19704]) ).
thf(f19711,plain,
( ~ spl0_4
| ~ spl0_208
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f19707,f13876,f9232,f82]) ).
thf(f19724,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_202
| ~ spl0_276 ),
inference(constrained_superposition,[],[f11422,f9206]) ).
thf(f19727,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_202
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f19724]) ).
thf(f19730,plain,
( $false
| ~ spl0_128
| ~ spl0_202
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f19727,f4948]) ).
thf(f19731,plain,
( ~ spl0_128
| ~ spl0_202
| ~ spl0_276 ),
inference(avatar_contradiction_clause,[],[f19730]) ).
thf(f19736,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f26,f8866]) ).
thf(f19737,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f19736]) ).
thf(f19738,plain,
( spl0_278
| spl0_209
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f19737,f8865,f9244,f11529]) ).
thf(f19840,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_188
| ~ spl0_230 ),
inference(constrained_superposition,[],[f9848,f8871]) ).
thf(f19843,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_188
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f19840]) ).
thf(f19844,plain,
( $false
| ~ spl0_1
| ~ spl0_188
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f19843,f73]) ).
thf(f19845,plain,
( ~ spl0_1
| ~ spl0_188
| ~ spl0_230 ),
inference(avatar_contradiction_clause,[],[f19844]) ).
thf(f19846,plain,
( spl0_196
| spl0_195
| ~ spl0_71
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f18978,f8810,f3772,f8900,f8903]) ).
thf(f19847,plain,
( spl0_327
| spl0_188
| ~ spl0_86
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f19464,f8810,f3965,f8870,f17766]) ).
thf(f19880,plain,
( ( $true != $true )
| ~ spl0_221
| ~ spl0_232 ),
inference(constrained_superposition,[],[f9900,f9497]) ).
thf(f19881,plain,
( $false
| ~ spl0_221
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f19880]) ).
thf(f19882,plain,
( ~ spl0_221
| ~ spl0_232 ),
inference(avatar_contradiction_clause,[],[f19881]) ).
thf(f19978,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_208 ),
inference(constrained_superposition,[],[f9233,f8818]) ).
thf(f19980,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_185 ),
inference(constrained_superposition,[],[f26,f8818]) ).
thf(f19981,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_185
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f19978]) ).
thf(f19982,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f19980]) ).
thf(f19984,plain,
( spl0_222
| spl0_232
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f19982,f8817,f9899,f9532]) ).
thf(f20015,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_322 ),
inference(constrained_superposition,[],[f16027,f35]) ).
thf(f20019,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_183
| ~ spl0_322 ),
inference(constrained_superposition,[],[f16027,f8811]) ).
thf(f20025,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_183
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f20019]) ).
thf(f20029,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f20015]) ).
thf(f20101,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_202 ),
inference(constrained_superposition,[],[f211,f9206]) ).
thf(f20102,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_310 ),
inference(constrained_superposition,[],[f211,f15126]) ).
thf(f20109,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| ~ spl0_128 ),
inference(constrained_superposition,[],[f211,f4948]) ).
thf(f20110,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f20102]) ).
thf(f20113,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_18
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f20101]) ).
thf(f20115,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| ~ spl0_128 ),
inference(trivial_inequality_removal,[],[f20109]) ).
thf(f20173,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_16
| ~ spl0_212 ),
inference(constrained_superposition,[],[f9415,f202]) ).
thf(f20181,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16
| ~ spl0_126 ),
inference(constrained_superposition,[],[f4940,f202]) ).
thf(f20190,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f20173]) ).
thf(f20192,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f20181]) ).
thf(f20255,plain,
( spl0_188
| ~ spl0_41
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f20029,f16026,f717,f8870]) ).
thf(f20256,plain,
( spl0_87
| ~ spl0_285
| ~ spl0_16
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f20192,f4939,f201,f13634,f3971]) ).
thf(f20257,plain,
( ~ spl0_77
| spl0_219
| ~ spl0_18
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f20113,f9205,f210,f9489,f3841]) ).
thf(f20258,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_289 ),
inference(avatar_component_clause,[],[f13751]) ).
thf(f20259,plain,
( ~ spl0_289
| spl0_219
| ~ spl0_16
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f20190,f9414,f201,f9489,f13751]) ).
thf(f20260,plain,
( spl0_24
| ~ spl0_77
| ~ spl0_18
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f20115,f4947,f210,f3841,f561]) ).
thf(f20284,plain,
( ~ spl0_77
| spl0_248
| ~ spl0_18
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f20110,f15125,f210,f10337,f3841]) ).
thf(f20294,plain,
( ( $true != $true )
| ~ spl0_185
| ~ spl0_232 ),
inference(constrained_superposition,[],[f9900,f8818]) ).
thf(f20295,plain,
( $false
| ~ spl0_185
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f20294]) ).
thf(f20296,plain,
( ~ spl0_185
| ~ spl0_232 ),
inference(avatar_contradiction_clause,[],[f20295]) ).
thf(f20297,plain,
( ~ spl0_136
| ~ spl0_183
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f20025,f16026,f8810,f5207]) ).
thf(f20357,plain,
( $false
| ~ spl0_187
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f8866,f9245]) ).
thf(f20358,plain,
( ~ spl0_187
| ~ spl0_209 ),
inference(avatar_contradiction_clause,[],[f20357]) ).
thf(f20420,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_321 ),
inference(constrained_superposition,[],[f15918,f31]) ).
thf(f20432,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f20420]) ).
thf(f20464,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_126
| ~ spl0_225 ),
inference(constrained_superposition,[],[f4940,f9587]) ).
thf(f20467,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_126
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f20464]) ).
thf(f20469,plain,
( $false
| ~ spl0_126
| ~ spl0_214
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f20467,f9472]) ).
thf(f20470,plain,
( ~ spl0_126
| ~ spl0_214
| ~ spl0_225 ),
inference(avatar_contradiction_clause,[],[f20469]) ).
thf(f20489,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_185
| ~ spl0_278 ),
inference(constrained_superposition,[],[f11530,f8818]) ).
thf(f20493,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_185
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f20489]) ).
thf(f20498,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_206
| ~ spl0_278 ),
inference(constrained_superposition,[],[f11530,f9220]) ).
thf(f20505,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_206
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f20498]) ).
thf(f20509,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_9
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f19548,f124]) ).
thf(f20578,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_326 ),
inference(constrained_superposition,[],[f17611,f35]) ).
thf(f20589,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f20578]) ).
thf(f20594,plain,
( spl0_330
| spl0_188
| ~ spl0_32
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f20589,f17610,f596,f8870,f18635]) ).
thf(f20600,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f18636,f58]) ).
thf(f20602,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f20600]) ).
thf(f20607,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_285
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f20602,f14124]) ).
thf(f20608,plain,
( ~ spl0_12
| spl0_285
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f20607,f18635,f13634,f159]) ).
thf(f20666,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_202
| ~ spl0_213 ),
inference(constrained_superposition,[],[f9430,f9206]) ).
thf(f20668,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_202
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f20666]) ).
thf(f20785,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_181
| ~ spl0_291 ),
inference(constrained_superposition,[],[f13760,f8804]) ).
thf(f20791,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f20785]) ).
thf(f20796,plain,
( spl0_191
| ~ spl0_227
| ~ spl0_224
| ~ spl0_181
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f20791,f13759,f8803,f9583,f9593,f8880]) ).
thf(f20803,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_181
| ~ spl0_286 ),
inference(constrained_superposition,[],[f13638,f8804]) ).
thf(f20813,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_181
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f20803]) ).
thf(f20872,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f13850,f35]) ).
thf(f20876,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f13850,f8804]) ).
thf(f20877,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f13850,f466]) ).
thf(f20881,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f20872]) ).
thf(f20882,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f20877]) ).
thf(f20886,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181 ),
inference(duplicate_literal_removal,[],[f20876]) ).
thf(f20887,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f20886]) ).
thf(f20889,definition,
( spl0_335
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).
thf(f20890,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_335 ),
inference(avatar_component_clause,[],[f20889]) ).
thf(f20891,plain,
( spl0_274
| spl0_335
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f20882,f8803,f20889,f11397]) ).
thf(f20893,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f20887,f35]) ).
thf(f20898,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f20887,f466]) ).
thf(f20899,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f20887,f58]) ).
thf(f20905,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f20898]) ).
thf(f20906,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f20893]) ).
thf(f20908,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f20899]) ).
thf(f20916,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f20890,f58]) ).
thf(f20924,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f20916]) ).
thf(f20926,plain,
( spl0_290
| spl0_48
| ~ spl0_200
| ~ spl0_43
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f20924,f20889,f739,f9117,f1158,f13755]) ).
thf(f20951,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_77
| ~ spl0_332 ),
inference(constrained_superposition,[],[f20509,f3842]) ).
thf(f20952,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_77
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f20951]) ).
thf(f20953,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_77
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f20952,f30]) ).
thf(f20954,plain,
( spl0_129
| ~ spl0_9
| ~ spl0_77
| ~ spl0_332 ),
inference(avatar_split_clause,[],[f20953,f19547,f3841,f123,f4959]) ).
thf(f20983,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_321 ),
inference(constrained_superposition,[],[f20432,f31]) ).
thf(f20986,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f20983]) ).
thf(f20987,plain,
( spl0_101
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f20986,f15917,f4260]) ).
thf(f21075,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_40
| ~ spl0_206
| ~ spl0_278 ),
inference(constrained_superposition,[],[f20505,f715]) ).
thf(f21081,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_40
| ~ spl0_206
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f21075]) ).
thf(f21086,plain,
( spl0_248
| ~ spl0_40
| ~ spl0_206
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f21081,f11529,f9219,f714,f10337]) ).
thf(f21112,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_278
| ~ spl0_308 ),
inference(constrained_superposition,[],[f20493,f14973]) ).
thf(f21120,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_185
| ~ spl0_278
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f21112]) ).
thf(f21128,plain,
( $false
| ~ spl0_185
| ~ spl0_208
| ~ spl0_278
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f21120,f19981]) ).
thf(f21129,plain,
( ~ spl0_185
| ~ spl0_208
| ~ spl0_278
| ~ spl0_308 ),
inference(avatar_contradiction_clause,[],[f21128]) ).
thf(f21137,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_30
| ~ spl0_181 ),
inference(constrained_superposition,[],[f584,f8804]) ).
thf(f21145,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_30
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f21137]) ).
thf(f21163,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_181 ),
inference(constrained_superposition,[],[f565,f8804]) ).
thf(f21170,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f21163]) ).
thf(f21433,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_110
| ~ spl0_222 ),
inference(constrained_superposition,[],[f9533,f4595]) ).
thf(f21434,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_110
| ~ spl0_212 ),
inference(constrained_superposition,[],[f9415,f4595]) ).
thf(f21448,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_110
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f21434]) ).
thf(f21453,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_110
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f21433]) ).
thf(f21456,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_110
| ~ spl0_112
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f21448,f4604]) ).
thf(f21457,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_110
| ~ spl0_222
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f21453,f11403]) ).
thf(f21462,plain,
( $false
| ~ spl0_110
| ~ spl0_112
| ~ spl0_185
| ~ spl0_208
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f21456,f19981]) ).
thf(f21463,plain,
( ~ spl0_110
| ~ spl0_112
| ~ spl0_185
| ~ spl0_208
| ~ spl0_212 ),
inference(avatar_contradiction_clause,[],[f21462]) ).
thf(f21464,plain,
( $false
| ~ spl0_110
| ~ spl0_185
| ~ spl0_208
| ~ spl0_222
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f21457,f19981]) ).
thf(f21465,plain,
( ~ spl0_110
| ~ spl0_185
| ~ spl0_208
| ~ spl0_222
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f21464]) ).
thf(f21623,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_121 ),
inference(constrained_superposition,[],[f26,f4659]) ).
thf(f21634,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f21623]) ).
thf(f21643,definition,
( spl0_340
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_340])],[avatar_definition]) ).
thf(f21644,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_340 ),
inference(avatar_component_clause,[],[f21643]) ).
thf(f21645,plain,
( spl0_37
| spl0_340
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f21634,f4658,f21643,f628]) ).
thf(f21681,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_222
| ~ spl0_287 ),
inference(constrained_superposition,[],[f9533,f13744]) ).
thf(f21682,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_287 ),
inference(constrained_superposition,[],[f9415,f13744]) ).
thf(f21686,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f26,f13744]) ).
thf(f21688,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f21686]) ).
thf(f21689,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_222
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f21681]) ).
thf(f21699,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_212
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f21682]) ).
thf(f21702,definition,
( spl0_341
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_341])],[avatar_definition]) ).
thf(f21703,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_341 ),
inference(avatar_component_clause,[],[f21702]) ).
thf(f21704,plain,
( spl0_37
| spl0_341
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f21688,f13743,f21702,f628]) ).
thf(f21705,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_222
| ~ spl0_275
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f21689,f11403]) ).
thf(f21708,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_112
| ~ spl0_212
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f21699,f4604]) ).
thf(f21709,plain,
( spl0_290
| ~ spl0_222
| ~ spl0_275
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f21705,f13743,f11402,f9532,f13755]) ).
thf(f21712,plain,
( spl0_290
| ~ spl0_112
| ~ spl0_212
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f21708,f13743,f9414,f4603,f13755]) ).
thf(f21724,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f1159,f37]) ).
thf(f21732,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f21724]) ).
thf(f21742,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f21732,f37]) ).
thf(f21747,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f21742]) ).
thf(f21748,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_48
| ~ spl0_185
| ~ spl0_278 ),
inference(constrained_superposition,[],[f20493,f21747]) ).
thf(f21756,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_48
| ~ spl0_185
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f21748]) ).
thf(f21761,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_48
| ~ spl0_185
| spl0_228
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f21756,f9902]) ).
thf(f21765,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_48
| ~ spl0_185
| spl0_228
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f21761,f30]) ).
thf(f21769,plain,
( spl0_210
| ~ spl0_48
| ~ spl0_185
| spl0_228
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f21765,f11529,f9599,f8817,f1158,f9267]) ).
thf(f21771,plain,
( spl0_199
| ~ spl0_200
| spl0_290
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f20908,f8803,f13755,f9117,f9114]) ).
thf(f21788,definition,
( spl0_344
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).
thf(f21789,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_344 ),
inference(avatar_component_clause,[],[f21788]) ).
thf(f21790,plain,
( spl0_214
| spl0_344
| ~ spl0_181
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f20813,f13637,f8803,f21788,f9471]) ).
thf(f21806,definition,
( spl0_347
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
thf(f21807,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_347 ),
inference(avatar_component_clause,[],[f21806]) ).
thf(f21808,plain,
( spl0_219
| spl0_347
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f20881,f8803,f21806,f9489]) ).
thf(f21814,plain,
( spl0_317
| ~ spl0_282
| spl0_219
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f20906,f8803,f9489,f13394,f15653]) ).
thf(f21879,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_228 ),
inference(constrained_superposition,[],[f124,f9600]) ).
thf(f21882,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f21879]) ).
thf(f21884,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_9
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f19548,f124]) ).
thf(f21930,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_182
| ~ spl0_208 ),
inference(constrained_superposition,[],[f9233,f8808]) ).
thf(f21934,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_182
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f21930]) ).
thf(f21936,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f26,f8892]) ).
thf(f21937,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f21936]) ).
thf(f21938,plain,
( spl0_209
| spl0_197
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f21937,f8891,f8916,f9244]) ).
thf(f21957,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f5761,f31]) ).
thf(f21965,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f21957]) ).
thf(f21973,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_184 ),
inference(constrained_superposition,[],[f565,f8815]) ).
thf(f21976,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f3558,f8815]) ).
thf(f21977,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f549,f8815]) ).
thf(f21978,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f1138,f8815]) ).
thf(f21980,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f190,f8815]) ).
thf(f21982,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f70,f8815]) ).
thf(f21983,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f50,f8815]) ).
thf(f21984,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f43,f8815]) ).
thf(f21985,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f32,f8815]) ).
thf(f21987,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f21978]) ).
thf(f21988,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f21983]) ).
thf(f21989,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f21982]) ).
thf(f21990,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f21976]) ).
thf(f21991,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f21984]) ).
thf(f21993,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f21977]) ).
thf(f21994,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f21973]) ).
thf(f21995,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f21980]) ).
thf(f21997,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f21985]) ).
thf(f22037,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197
| ~ spl0_275 ),
inference(constrained_superposition,[],[f8917,f11403]) ).
thf(f22039,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_188
| ~ spl0_197 ),
inference(constrained_superposition,[],[f8917,f8871]) ).
thf(f22041,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f22037]) ).
thf(f22042,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_188
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f22039]) ).
thf(f22052,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_308 ),
inference(constrained_superposition,[],[f14500,f36]) ).
thf(f22055,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f22052]) ).
thf(f22097,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f4592,f35]) ).
thf(f22105,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f22097]) ).
thf(f22108,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_24
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f22105,f4027]) ).
thf(f22114,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f22108,f31]) ).
thf(f22117,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f22114]) ).
thf(f22146,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_193
| ~ spl0_341 ),
inference(constrained_superposition,[],[f21703,f8892]) ).
thf(f22149,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_193
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f22146]) ).
thf(f22154,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_187
| ~ spl0_193
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f22149,f8866]) ).
thf(f22155,plain,
( $false
| ~ spl0_187
| ~ spl0_193
| spl0_289
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f22154,f20258]) ).
thf(f22156,plain,
( ~ spl0_187
| ~ spl0_193
| spl0_289
| ~ spl0_341 ),
inference(avatar_contradiction_clause,[],[f22155]) ).
thf(f22164,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_331 ),
inference(constrained_superposition,[],[f19513,f466]) ).
thf(f22173,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f22164]) ).
thf(f22214,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f5785,f36]) ).
thf(f22219,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f22214]) ).
thf(f22224,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_143
| ~ spl0_202
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f22219,f20668]) ).
thf(f22225,plain,
( spl0_321
| ~ spl0_41
| ~ spl0_143
| ~ spl0_202
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f22224,f9429,f9205,f5784,f717,f15917]) ).
thf(f22290,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f21807,f466]) ).
thf(f22291,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f21807,f58]) ).
thf(f22297,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f22291]) ).
thf(f22300,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f22290]) ).
thf(f22393,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f21997,f466]) ).
thf(f22394,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f21997,f58]) ).
thf(f22396,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f22393]) ).
thf(f22399,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f22394]) ).
thf(f22492,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_228
| ~ spl0_332 ),
inference(constrained_superposition,[],[f21884,f9600]) ).
thf(f22494,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_228
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f22492]) ).
thf(f22496,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_228
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f22494,f30]) ).
thf(f22498,plain,
( spl0_240
| ~ spl0_9
| ~ spl0_228
| ~ spl0_332 ),
inference(avatar_split_clause,[],[f22496,f19547,f9599,f123,f10071]) ).
thf(f22500,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f21965,f31]) ).
thf(f22505,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f22500]) ).
thf(f22508,plain,
( spl0_102
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f22505,f5760,f4353]) ).
thf(f22510,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f22117,f31]) ).
thf(f22512,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f22510]) ).
thf(f22513,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| spl0_128
| ~ spl0_308 ),
inference(constrained_superposition,[],[f18370,f22055]) ).
thf(f22514,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_38
| ~ spl0_308 ),
inference(constrained_superposition,[],[f645,f22055]) ).
thf(f22515,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_18
| ~ spl0_308 ),
inference(constrained_superposition,[],[f211,f22055]) ).
thf(f22517,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_38
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f22514]) ).
thf(f22518,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_128
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f22513]) ).
thf(f22520,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f22515]) ).
thf(f22521,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_38
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f22517,f124]) ).
thf(f22522,plain,
( $false
| spl0_128
| ~ spl0_202
| ~ spl0_213
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f22518,f20668]) ).
thf(f22523,plain,
( spl0_128
| ~ spl0_202
| ~ spl0_213
| ~ spl0_308 ),
inference(avatar_contradiction_clause,[],[f22522]) ).
thf(f22524,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_18
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f22520,f124]) ).
thf(f22525,plain,
( spl0_83
| ~ spl0_9
| ~ spl0_38
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f22521,f14499,f644,f123,f3955]) ).
thf(f22526,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_18
| spl0_24
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f22524,f4027]) ).
thf(f22527,plain,
( spl0_83
| ~ spl0_9
| ~ spl0_18
| spl0_24
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f22526,f14499,f561,f210,f123,f3955]) ).
thf(f22528,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f22512,f31]) ).
thf(f22530,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| spl0_24
| ~ spl0_109 ),
inference(duplicate_literal_removal,[],[f22528]) ).
thf(f22531,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f22530]) ).
thf(f22534,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_197
| ~ spl0_275 ),
inference(constrained_superposition,[],[f22041,f22531]) ).
thf(f22554,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_197
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f22534]) ).
thf(f22563,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_24
| ~ spl0_109
| ~ spl0_188
| ~ spl0_197
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f22554,f22042]) ).
thf(f22568,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_188
| ~ spl0_197
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f22563,f30]) ).
thf(f22571,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_188
| ~ spl0_197
| ~ spl0_202
| ~ spl0_213
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f22568,f20668]) ).
thf(f22574,plain,
( spl0_129
| spl0_24
| ~ spl0_109
| ~ spl0_188
| ~ spl0_197
| ~ spl0_202
| ~ spl0_213
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f22571,f11402,f9429,f9205,f8916,f8870,f4591,f561,f4959]) ).
thf(f22576,plain,
( spl0_237
| ~ spl0_236
| spl0_193
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21990,f8814,f8891,f10036,f10039]) ).
thf(f22579,plain,
( spl0_74
| spl0_129
| spl0_24
| ~ spl0_109
| ~ spl0_188
| ~ spl0_197
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f22568,f11402,f8916,f8870,f4591,f561,f4959,f3811]) ).
thf(f22595,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_110
| ~ spl0_197
| ~ spl0_275 ),
inference(constrained_superposition,[],[f22041,f4595]) ).
thf(f22603,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_110
| ~ spl0_212 ),
inference(constrained_superposition,[],[f9415,f4595]) ).
thf(f22613,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_110
| ~ spl0_197
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f22595]) ).
thf(f22614,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_110
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f22603]) ).
thf(f22616,plain,
( $false
| ~ spl0_110
| ~ spl0_182
| ~ spl0_197
| ~ spl0_208
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f22613,f21934]) ).
thf(f22617,plain,
( ~ spl0_110
| ~ spl0_182
| ~ spl0_197
| ~ spl0_208
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f22616]) ).
thf(f22620,plain,
( spl0_274
| ~ spl0_194
| spl0_322
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f20905,f8803,f16026,f8895,f11397]) ).
thf(f22621,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_110
| ~ spl0_212
| ~ spl0_228 ),
inference(forward_subsumption_resolution,[],[f22614,f21882]) ).
thf(f22622,plain,
( ~ spl0_32
| spl0_274
| spl0_330
| ~ spl0_194
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f22300,f21806,f8895,f18635,f11397,f596]) ).
thf(f22623,plain,
( spl0_274
| spl0_326
| ~ spl0_194
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f22396,f8814,f8895,f17610,f11397]) ).
thf(f22628,plain,
( spl0_275
| ~ spl0_218
| spl0_238
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21987,f8814,f10046,f9485,f11402]) ).
thf(f22632,plain,
( spl0_275
| ~ spl0_43
| spl0_48
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f22173,f19512,f1158,f739,f11402]) ).
thf(f22633,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_110
| ~ spl0_212
| ~ spl0_228 ),
inference(constrained_superposition,[],[f22621,f4595]) ).
thf(f22634,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_110
| ~ spl0_212
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f22633]) ).
thf(f22635,plain,
( $false
| ~ spl0_9
| ~ spl0_110
| ~ spl0_182
| ~ spl0_208
| ~ spl0_212
| ~ spl0_228 ),
inference(forward_subsumption_resolution,[],[f22634,f21934]) ).
thf(f22636,plain,
( ~ spl0_9
| ~ spl0_110
| ~ spl0_182
| ~ spl0_208
| ~ spl0_212
| ~ spl0_228 ),
inference(avatar_contradiction_clause,[],[f22635]) ).
thf(f22641,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_274 ),
inference(constrained_superposition,[],[f9415,f11398]) ).
thf(f22645,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f22641]) ).
thf(f22702,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f4592,f35]) ).
thf(f22712,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f22702]) ).
thf(f22714,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_24
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f22712,f4027]) ).
thf(f22720,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f22714,f31]) ).
thf(f22726,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f22720]) ).
thf(f22796,plain,
( ~ spl0_218
| spl0_187
| spl0_251
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21993,f8814,f10355,f8865,f9485]) ).
thf(f22860,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_304 ),
inference(constrained_superposition,[],[f14285,f57]) ).
thf(f22865,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f22860]) ).
thf(f22876,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_196
| ~ spl0_304 ),
inference(forward_subsumption_resolution,[],[f22865,f9529]) ).
thf(f22877,plain,
( ~ spl0_43
| ~ spl0_50
| spl0_196
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f22876,f14284,f8903,f1164,f739]) ).
thf(f22973,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_238 ),
inference(constrained_superposition,[],[f10047,f57]) ).
thf(f22978,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f22973]) ).
thf(f23019,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_184
| ~ spl0_288 ),
inference(constrained_superposition,[],[f13749,f8815]) ).
thf(f23027,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_184
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f23019]) ).
thf(f23055,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f22726,f31]) ).
thf(f23057,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f23055]) ).
thf(f23058,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f23057,f31]) ).
thf(f23061,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| spl0_24
| ~ spl0_109 ),
inference(duplicate_literal_removal,[],[f23058]) ).
thf(f23062,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f23061]) ).
thf(f23065,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_212
| ~ spl0_274 ),
inference(constrained_superposition,[],[f22645,f23062]) ).
thf(f23088,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_24
| ~ spl0_109
| ~ spl0_212
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f23065]) ).
thf(f23095,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_188
| ~ spl0_197
| ~ spl0_212
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f23088,f22042]) ).
thf(f23096,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_188
| ~ spl0_197
| ~ spl0_212
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f23095,f30]) ).
thf(f23097,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_182
| ~ spl0_188
| ~ spl0_197
| ~ spl0_208
| ~ spl0_212
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f23096,f21934]) ).
thf(f23098,plain,
( spl0_129
| spl0_24
| ~ spl0_109
| ~ spl0_182
| ~ spl0_188
| ~ spl0_197
| ~ spl0_208
| ~ spl0_212
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f23097,f11397,f9414,f9232,f8916,f8870,f8807,f4591,f561,f4959]) ).
thf(f23110,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_274
| ~ spl0_287 ),
inference(constrained_superposition,[],[f22645,f13744]) ).
thf(f23113,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208
| ~ spl0_287 ),
inference(constrained_superposition,[],[f9233,f13744]) ).
thf(f23129,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_274
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f23110]) ).
thf(f23132,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_208
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f23113]) ).
thf(f23135,plain,
( $false
| ~ spl0_212
| ~ spl0_274
| ~ spl0_287
| spl0_289 ),
inference(forward_subsumption_resolution,[],[f23129,f20258]) ).
thf(f23136,plain,
( ~ spl0_212
| ~ spl0_274
| ~ spl0_287
| spl0_289 ),
inference(avatar_contradiction_clause,[],[f23135]) ).
thf(f23137,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_208
| ~ spl0_287
| spl0_292 ),
inference(forward_subsumption_resolution,[],[f23132,f18912]) ).
thf(f23138,plain,
( $false
| ~ spl0_28
| ~ spl0_208
| ~ spl0_287
| spl0_292 ),
inference(forward_subsumption_resolution,[],[f23137,f576]) ).
thf(f23139,plain,
( ~ spl0_28
| ~ spl0_208
| ~ spl0_287
| spl0_292 ),
inference(avatar_contradiction_clause,[],[f23138]) ).
thf(f23140,plain,
( spl0_228
| spl0_235
| ~ spl0_200
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f22978,f10046,f9117,f10031,f9599]) ).
thf(f23146,plain,
( spl0_280
| spl0_196
| ~ spl0_233
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21989,f8814,f10024,f8903,f12052]) ).
thf(f23148,plain,
( spl0_290
| ~ spl0_12
| ~ spl0_200
| spl0_17
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f22297,f21806,f204,f9117,f159,f13755]) ).
thf(f23150,definition,
( spl0_357
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_357])],[avatar_definition]) ).
thf(f23151,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_357 ),
inference(avatar_component_clause,[],[f23150]) ).
thf(f23152,plain,
( spl0_193
| spl0_357
| ~ spl0_184
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f23027,f13748,f8814,f23150,f8891]) ).
thf(f23153,plain,
( ~ spl0_233
| spl0_292
| spl0_235
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21995,f8814,f10031,f13876,f10024]) ).
thf(f23155,plain,
( spl0_331
| ~ spl0_200
| spl0_290
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f22399,f8814,f13755,f9117,f19512]) ).
thf(f23189,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f26,f9490]) ).
thf(f23190,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f23189]) ).
thf(f23194,plain,
( spl0_8
| spl0_213
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f23190,f9489,f9429,f120]) ).
thf(f23248,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_315 ),
inference(constrained_superposition,[],[f15574,f58]) ).
thf(f23253,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f23248]) ).
thf(f23257,plain,
( ~ spl0_12
| spl0_290
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f23253,f15573,f13755,f159]) ).
thf(f23289,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_16
| spl0_289 ),
inference(constrained_superposition,[],[f20258,f202]) ).
thf(f23303,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16
| spl0_289 ),
inference(trivial_inequality_removal,[],[f23289]) ).
thf(f23315,plain,
( $false
| ~ spl0_16
| ~ spl0_188
| ~ spl0_197
| spl0_289 ),
inference(forward_subsumption_resolution,[],[f23303,f22042]) ).
thf(f23316,plain,
( ~ spl0_16
| ~ spl0_188
| ~ spl0_197
| spl0_289 ),
inference(avatar_contradiction_clause,[],[f23315]) ).
thf(f23321,plain,
( spl0_87
| ~ spl0_16
| spl0_289 ),
inference(avatar_split_clause,[],[f23303,f13751,f201,f3971]) ).
thf(f23322,plain,
( ~ spl0_215
| spl0_241
| ~ spl0_192
| spl0_214
| ~ spl0_25
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21994,f8814,f564,f9471,f8886,f10075,f9475]) ).
thf(f23323,plain,
( ~ spl0_215
| spl0_188
| spl0_238
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21991,f8814,f10046,f8870,f9475]) ).
thf(f23329,plain,
( ~ spl0_190
| spl0_187
| spl0_241
| ~ spl0_215
| ~ spl0_30
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f21145,f8803,f583,f9475,f10075,f8865,f8877]) ).
thf(f23334,plain,
( spl0_241
| spl0_187
| ~ spl0_190
| ~ spl0_218
| ~ spl0_25
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f21170,f8803,f564,f9485,f8877,f8865,f10075]) ).
thf(f23335,plain,
( spl0_239
| ~ spl0_215
| spl0_186
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21988,f8814,f8861,f9475,f10052]) ).
thf(f23350,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_200 ),
inference(constrained_superposition,[],[f9118,f31]) ).
thf(f23353,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_200 ),
inference(trivial_inequality_removal,[],[f23350]) ).
thf(f23355,plain,
( spl0_292
| spl0_210
| spl0_200 ),
inference(avatar_split_clause,[],[f23353,f9117,f9267,f13876]) ).
thf(f23363,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_196 ),
inference(constrained_superposition,[],[f124,f8904]) ).
thf(f23365,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f23363]) ).
thf(f23667,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_184
| ~ spl0_237 ),
inference(constrained_superposition,[],[f10040,f8815]) ).
thf(f23679,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_184
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f23667]) ).
thf(f23686,plain,
( spl0_241
| ~ spl0_227
| ~ spl0_184
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f23679,f10039,f8814,f9593,f10075]) ).
thf(f23700,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_357 ),
inference(constrained_superposition,[],[f23151,f465]) ).
thf(f23710,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f23700]) ).
thf(f23894,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_110
| ~ spl0_230 ),
inference(constrained_superposition,[],[f9848,f4595]) ).
thf(f23911,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_110
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f23894]) ).
thf(f23926,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_110
| ~ spl0_196
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f23911,f23365]) ).
thf(f23927,plain,
( $false
| ~ spl0_9
| ~ spl0_27
| ~ spl0_110
| ~ spl0_196
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f23926,f572]) ).
thf(f23928,plain,
( ~ spl0_9
| ~ spl0_27
| ~ spl0_110
| ~ spl0_196
| ~ spl0_230 ),
inference(avatar_contradiction_clause,[],[f23927]) ).
thf(f23946,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f4592,f35]) ).
thf(f23953,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f23946]) ).
thf(f23958,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_24
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f23953,f4027]) ).
thf(f23964,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f23958,f31]) ).
thf(f23967,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f23964]) ).
thf(f24036,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ X0 )
= $true )
| ( $true != $true ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f23967,f31]) ).
thf(f24038,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f24036]) ).
thf(f24039,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true != $true ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f24038,f31]) ).
thf(f24042,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| spl0_24
| ~ spl0_109 ),
inference(duplicate_literal_removal,[],[f24039]) ).
thf(f24043,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f24042]) ).
thf(f24048,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_24
| ~ spl0_109
| ~ spl0_230 ),
inference(constrained_superposition,[],[f9848,f24043]) ).
thf(f24071,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f24048]) ).
thf(f24074,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f24071,f30]) ).
thf(f24076,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_9
| spl0_24
| ~ spl0_109
| ~ spl0_196
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f24074,f23365]) ).
thf(f24078,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| spl0_24
| ~ spl0_27
| ~ spl0_109
| ~ spl0_196
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f24076,f572]) ).
thf(f24080,plain,
( spl0_188
| spl0_211
| ~ spl0_9
| spl0_24
| ~ spl0_27
| ~ spl0_109
| ~ spl0_196
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f24078,f9847,f8903,f4591,f571,f561,f123,f9270,f8870]) ).
thf(f24088,plain,
( ~ spl0_50
| spl0_214
| ~ spl0_194
| ~ spl0_119
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f23710,f23150,f4639,f8895,f9471,f1164]) ).
thf(f24119,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_194 ),
inference(constrained_superposition,[],[f8896,f31]) ).
thf(f24123,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_194 ),
inference(trivial_inequality_removal,[],[f24119]) ).
thf(f24126,plain,
( spl0_275
| spl0_211
| spl0_194 ),
inference(avatar_split_clause,[],[f24123,f8895,f9270,f11402]) ).
thf(f24129,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197
| ~ spl0_275 ),
inference(constrained_superposition,[],[f8917,f11403]) ).
thf(f24133,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f24129]) ).
thf(f24189,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_219
| ~ spl0_340 ),
inference(constrained_superposition,[],[f21644,f9490]) ).
thf(f24190,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_248
| ~ spl0_340 ),
inference(constrained_superposition,[],[f21644,f10338]) ).
thf(f24194,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_248
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f24190]) ).
thf(f24197,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_219
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f24189]) ).
thf(f24199,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_24
| ~ spl0_248
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f24194,f562]) ).
thf(f24200,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_24
| ~ spl0_219
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f24197,f562]) ).
thf(f24201,plain,
( $false
| ~ spl0_24
| ~ spl0_248
| spl0_264
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f24199,f10597]) ).
thf(f24202,plain,
( ~ spl0_24
| ~ spl0_248
| spl0_264
| ~ spl0_340 ),
inference(avatar_contradiction_clause,[],[f24201]) ).
thf(f24203,plain,
( $false
| ~ spl0_24
| ~ spl0_219
| spl0_228
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f24200,f9902]) ).
thf(f24204,plain,
( ~ spl0_24
| ~ spl0_219
| spl0_228
| ~ spl0_340 ),
inference(avatar_contradiction_clause,[],[f24203]) ).
thf(f24222,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_219
| ~ spl0_341 ),
inference(constrained_superposition,[],[f21703,f9490]) ).
thf(f24226,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f24222]) ).
thf(f24235,plain,
( spl0_290
| ~ spl0_24
| ~ spl0_219
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f24226,f21702,f9489,f561,f13755]) ).
thf(f24286,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197
| ~ spl0_275
| ~ spl0_287 ),
inference(constrained_superposition,[],[f24133,f13744]) ).
thf(f24292,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_213
| ~ spl0_287 ),
inference(constrained_superposition,[],[f9430,f13744]) ).
thf(f24301,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197
| ~ spl0_275
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f24286]) ).
thf(f24305,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_213
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f24292]) ).
thf(f24310,plain,
( $false
| ~ spl0_197
| ~ spl0_275
| ~ spl0_287
| spl0_289 ),
inference(forward_subsumption_resolution,[],[f24301,f20258]) ).
thf(f24311,plain,
( ~ spl0_197
| ~ spl0_275
| ~ spl0_287
| spl0_289 ),
inference(avatar_contradiction_clause,[],[f24310]) ).
thf(f24312,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_28
| ~ spl0_213
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f24305,f576]) ).
thf(f24314,plain,
( spl0_290
| ~ spl0_28
| ~ spl0_213
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f24312,f13743,f9429,f575,f13755]) ).
thf(f24315,plain,
( spl0_180
| spl0_181
| spl0_34 ),
inference(avatar_split_clause,[],[f16760,f602,f8803,f8800]) ).
thf(f24316,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_77 ),
inference(constrained_superposition,[],[f124,f3842]) ).
thf(f24319,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f24316]) ).
thf(f24345,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f1159,f37]) ).
thf(f24350,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f24345]) ).
thf(f24366,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_203 ),
inference(constrained_superposition,[],[f565,f9209]) ).
thf(f24371,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_203
| ~ spl0_344 ),
inference(constrained_superposition,[],[f21789,f9209]) ).
thf(f24380,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f190,f9209]) ).
thf(f24385,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f32,f9209]) ).
thf(f24389,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f24385]) ).
thf(f24392,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f24366]) ).
thf(f24393,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_203
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f24371]) ).
thf(f24405,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f24380]) ).
thf(f24420,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_180
| ~ spl0_213 ),
inference(constrained_superposition,[],[f9430,f8801]) ).
thf(f24421,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f26,f8801]) ).
thf(f24422,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f24421]) ).
thf(f24423,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_180
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f24420]) ).
thf(f24424,plain,
( spl0_209
| spl0_222
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f24422,f8800,f9532,f9244]) ).
thf(f24436,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f26,f9220]) ).
thf(f24437,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f24436]) ).
thf(f24439,plain,
( spl0_267
| spl0_245
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f24437,f9219,f10286,f10589]) ).
thf(f24629,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f24389,f9209]) ).
thf(f24630,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f24389,f466]) ).
thf(f24632,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_203 ),
inference(duplicate_literal_removal,[],[f24629]) ).
thf(f24633,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f24632]) ).
thf(f24636,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f24630]) ).
thf(f24647,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f24633,f466]) ).
thf(f24648,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f24633,f58]) ).
thf(f24654,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f24648]) ).
thf(f24657,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f24647]) ).
thf(f24658,plain,
( spl0_139
| ~ spl0_70
| spl0_290
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f24654,f9208,f13755,f3636,f5760]) ).
thf(f24665,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f24350,f37]) ).
thf(f24668,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f24665]) ).
thf(f24671,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_48
| spl0_187 ),
inference(constrained_superposition,[],[f17660,f24668]) ).
thf(f24672,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_36
| ~ spl0_48 ),
inference(constrained_superposition,[],[f617,f24668]) ).
thf(f24675,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_48
| spl0_187 ),
inference(trivial_inequality_removal,[],[f24671]) ).
thf(f24676,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_36
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f24672]) ).
thf(f24677,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_48
| spl0_187
| spl0_196 ),
inference(forward_subsumption_resolution,[],[f24675,f9529]) ).
thf(f24678,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_9
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f24676,f124]) ).
thf(f24679,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_48
| spl0_66
| spl0_187
| spl0_196 ),
inference(forward_subsumption_resolution,[],[f24677,f6034]) ).
thf(f24680,plain,
( spl0_130
| ~ spl0_9
| ~ spl0_36
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f24678,f1158,f616,f123,f5050]) ).
thf(f24681,plain,
( $false
| ~ spl0_48
| spl0_66
| spl0_187
| spl0_196 ),
inference(forward_subsumption_resolution,[],[f24679,f30]) ).
thf(f24682,plain,
( ~ spl0_48
| spl0_66
| spl0_187
| spl0_196 ),
inference(avatar_contradiction_clause,[],[f24681]) ).
thf(f24687,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_182
| ~ spl0_341 ),
inference(constrained_superposition,[],[f21703,f8808]) ).
thf(f24705,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_182
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f24687]) ).
thf(f24709,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_182
| spl0_292
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f24705,f18912]) ).
thf(f24712,plain,
( spl0_217
| ~ spl0_218
| ~ spl0_67
| spl0_128
| ~ spl0_25
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f24392,f9208,f564,f4947,f3582,f9485,f9482]) ).
thf(f24713,plain,
( ~ spl0_128
| ~ spl0_182
| spl0_292
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f24709,f21702,f13876,f8807,f4947]) ).
thf(f24772,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f4592,f35]) ).
thf(f24777,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f24772]) ).
thf(f24783,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_24
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f24777,f4027]) ).
thf(f24790,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f24783,f31]) ).
thf(f24794,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f24790]) ).
thf(f24870,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f24794,f31]) ).
thf(f24872,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f24870]) ).
thf(f24873,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f24872,f31]) ).
thf(f24875,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(duplicate_literal_removal,[],[f24873]) ).
thf(f24876,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f24875]) ).
thf(f24889,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_24
| ~ spl0_58
| ~ spl0_109 ),
inference(constrained_superposition,[],[f2860,f24876]) ).
thf(f24898,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_24
| ~ spl0_58
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f24889]) ).
thf(f24904,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_24
| ~ spl0_27
| ~ spl0_58
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f24898,f572]) ).
thf(f24907,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_24
| ~ spl0_27
| ~ spl0_58
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f24904,f30]) ).
thf(f24910,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_9
| spl0_24
| ~ spl0_27
| ~ spl0_58
| ~ spl0_77
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f24907,f24319]) ).
thf(f24913,plain,
( spl0_129
| spl0_87
| ~ spl0_9
| spl0_24
| ~ spl0_27
| ~ spl0_58
| ~ spl0_77
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f24910,f4591,f3841,f2859,f571,f561,f123,f3971,f4959]) ).
thf(f24962,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f5785,f36]) ).
thf(f24972,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f24962]) ).
thf(f24973,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_77
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f24972,f24319]) ).
thf(f24974,plain,
( ~ spl0_41
| spl0_321
| ~ spl0_9
| ~ spl0_77
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f24973,f5784,f3841,f123,f15917,f717]) ).
thf(f25074,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f26,f4595]) ).
thf(f25087,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f25074]) ).
thf(f25095,plain,
( spl0_37
| spl0_160
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f25087,f4594,f6620,f628]) ).
thf(f25097,definition,
( spl0_363
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_363])],[avatar_definition]) ).
thf(f25098,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_363 ),
inference(avatar_component_clause,[],[f25097]) ).
thf(f25099,plain,
( spl0_363
| spl0_274
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f24636,f9208,f11397,f25097]) ).
thf(f25103,plain,
( spl0_274
| spl0_272
| ~ spl0_119
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f24657,f9208,f4639,f11367,f11397]) ).
thf(f25257,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_217 ),
inference(constrained_superposition,[],[f9483,f58]) ).
thf(f25264,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f25257]) ).
thf(f25305,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_180
| ~ spl0_340 ),
inference(constrained_superposition,[],[f21644,f8801]) ).
thf(f25314,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_180
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f25305]) ).
thf(f25321,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_180
| ~ spl0_187
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f25314,f8866]) ).
thf(f25324,plain,
( $false
| ~ spl0_180
| ~ spl0_187
| spl0_228
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f25321,f9902]) ).
thf(f25325,plain,
( ~ spl0_180
| ~ spl0_187
| spl0_228
| ~ spl0_340 ),
inference(avatar_contradiction_clause,[],[f25324]) ).
thf(f25394,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183
| ~ spl0_331 ),
inference(constrained_superposition,[],[f19513,f8811]) ).
thf(f25401,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f25394]) ).
thf(f25406,plain,
( ~ spl0_70
| spl0_139
| ~ spl0_183
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f25401,f19512,f8810,f5760,f3636]) ).
thf(f25409,plain,
( ~ spl0_71
| ~ spl0_227
| ~ spl0_136
| ~ spl0_203
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f24393,f21788,f9208,f5207,f9593,f3772]) ).
thf(f25414,plain,
( ~ spl0_70
| spl0_290
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f25264,f9482,f13755,f3636]) ).
thf(f25416,plain,
( spl0_290
| ~ spl0_71
| spl0_139
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f24405,f9208,f5760,f3772,f13755]) ).
thf(f25425,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f26,f576]) ).
thf(f25426,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f25425]) ).
thf(f25427,plain,
( spl0_37
| spl0_36
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f25426,f575,f616,f628]) ).
thf(f25450,plain,
( $false
| ~ spl0_83
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f8904,f3956]) ).
thf(f25451,plain,
( ~ spl0_83
| ~ spl0_196 ),
inference(avatar_contradiction_clause,[],[f25450]) ).
thf(f25453,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f26,f8904]) ).
thf(f25455,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f25453]) ).
thf(f25456,plain,
( spl0_209
| spl0_230
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f25455,f8903,f9847,f9244]) ).
thf(f25504,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_185
| ~ spl0_197 ),
inference(constrained_superposition,[],[f8917,f8818]) ).
thf(f25509,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_185
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f25504]) ).
thf(f25527,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f8901,f465]) ).
thf(f25537,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f25527]) ).
thf(f25637,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_101
| ~ spl0_185
| ~ spl0_197 ),
inference(constrained_superposition,[],[f25509,f4261]) ).
thf(f25641,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_101
| ~ spl0_185
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f25637]) ).
thf(f25646,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_101
| ~ spl0_185
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f25641,f30]) ).
thf(f25649,plain,
( spl0_221
| spl0_244
| ~ spl0_101
| ~ spl0_185
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f25646,f8916,f8817,f4260,f10168,f9496]) ).
thf(f25674,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_244 ),
inference(constrained_superposition,[],[f1922,f10169]) ).
thf(f25815,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f25674,f28]) ).
thf(f25823,plain,
( $false
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f25815,f29]) ).
thf(f25824,plain,
~ spl0_244,
inference(avatar_contradiction_clause,[],[f25823]) ).
thf(f26005,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_187
| ~ spl0_329 ),
inference(constrained_superposition,[],[f17660,f18376]) ).
thf(f26010,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_187
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f26005]) ).
thf(f26013,plain,
( $false
| spl0_187
| spl0_292
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f26010,f18912]) ).
thf(f26014,plain,
( spl0_187
| spl0_292
| ~ spl0_329 ),
inference(avatar_contradiction_clause,[],[f26013]) ).
thf(f26022,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f737,f35]) ).
thf(f26030,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f26022]) ).
thf(f26035,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_33
| ~ spl0_36 ),
inference(constrained_superposition,[],[f617,f600]) ).
thf(f26037,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f26,f600]) ).
thf(f26038,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f26037]) ).
thf(f26040,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_33
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f26035]) ).
thf(f26041,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_33
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f26040,f124]) ).
thf(f26042,plain,
( spl0_46
| ~ spl0_9
| ~ spl0_33
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f26041,f616,f599,f123,f854]) ).
thf(f26060,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_33
| ~ spl0_185 ),
inference(constrained_superposition,[],[f26038,f8818]) ).
thf(f26066,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f26038,f600]) ).
thf(f26075,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_33
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f26060]) ).
thf(f26080,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_33 ),
inference(duplicate_literal_removal,[],[f26066]) ).
thf(f26081,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f26080]) ).
thf(f26086,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_33
| ~ spl0_185
| spl0_228 ),
inference(forward_subsumption_resolution,[],[f26075,f9902]) ).
thf(f26088,plain,
( spl0_340
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f26081,f599,f21643]) ).
thf(f26091,plain,
( spl0_276
| ~ spl0_33
| ~ spl0_185
| spl0_228 ),
inference(avatar_split_clause,[],[f26086,f9599,f8817,f599,f11421]) ).
thf(f26189,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_102
| ~ spl0_185
| ~ spl0_197 ),
inference(constrained_superposition,[],[f25509,f4354]) ).
thf(f26192,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_102
| ~ spl0_185
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f26189]) ).
thf(f26199,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_102
| ~ spl0_185
| ~ spl0_197
| spl0_228 ),
inference(forward_subsumption_resolution,[],[f26192,f9902]) ).
thf(f26203,plain,
( spl0_244
| spl0_242
| ~ spl0_102
| ~ spl0_185
| ~ spl0_197
| spl0_228 ),
inference(avatar_split_clause,[],[f26199,f9599,f8916,f8817,f4353,f10086,f10168]) ).
thf(f26208,plain,
( ~ spl0_50
| spl0_272
| spl0_128
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f25537,f8900,f4947,f11367,f1164]) ).
thf(f26220,plain,
( ( $true != $true )
| ~ spl0_180
| ~ spl0_209 ),
inference(constrained_superposition,[],[f9245,f8801]) ).
thf(f26222,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_102
| ~ spl0_209 ),
inference(constrained_superposition,[],[f9245,f4354]) ).
thf(f26223,plain,
( $false
| ~ spl0_180
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f26220]) ).
thf(f26224,plain,
( ~ spl0_180
| ~ spl0_209 ),
inference(avatar_contradiction_clause,[],[f26223]) ).
thf(f26225,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_102
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f26222]) ).
thf(f26228,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_102
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f26225,f9245]) ).
thf(f26229,plain,
( spl0_231
| spl0_210
| ~ spl0_102
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f26228,f9244,f4353,f9267,f9868]) ).
thf(f26230,plain,
( spl0_17
| spl0_24
| ~ spl0_12
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f26030,f736,f159,f561,f204]) ).
thf(f26238,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_77 ),
inference(constrained_superposition,[],[f124,f3842]) ).
thf(f26241,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f26238]) ).
thf(f26320,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_272 ),
inference(constrained_superposition,[],[f11368,f31]) ).
thf(f26331,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f26320]) ).
thf(f26337,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_185 ),
inference(constrained_superposition,[],[f26,f8818]) ).
thf(f26338,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f26337]) ).
thf(f26340,plain,
( spl0_232
| spl0_222
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f26338,f8817,f9532,f9899]) ).
thf(f26341,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_37
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f4595,f629]) ).
thf(f26342,plain,
( spl0_78
| ~ spl0_37
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f26341,f4594,f628,f3861]) ).
thf(f26344,plain,
( ( $true != $true )
| ~ spl0_9
| ~ spl0_77
| ~ spl0_78 ),
inference(constrained_superposition,[],[f26241,f3862]) ).
thf(f26349,plain,
( $false
| ~ spl0_9
| ~ spl0_77
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f26344]) ).
thf(f26350,plain,
( ~ spl0_9
| ~ spl0_77
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f26349]) ).
thf(f26368,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_314 ),
inference(constrained_superposition,[],[f15568,f58]) ).
thf(f26374,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f26368]) ).
thf(f26377,plain,
( spl0_290
| ~ spl0_43
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f26374,f15567,f739,f13755]) ).
thf(f26378,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_180
| ~ spl0_212 ),
inference(constrained_superposition,[],[f9415,f8801]) ).
thf(f26380,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_180
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f26378]) ).
thf(f26391,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f4592,f58]) ).
thf(f26397,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f26391]) ).
thf(f26398,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_109
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f26397,f14124]) ).
thf(f26403,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_109
| spl0_285 ),
inference(constrained_superposition,[],[f26398,f37]) ).
thf(f26405,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) ) )
| ~ spl0_109
| spl0_285 ),
inference(trivial_inequality_removal,[],[f26403]) ).
thf(f26411,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_37
| ~ spl0_109
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f26405,f629]) ).
thf(f26424,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) ) )
| ~ spl0_37
| ~ spl0_109
| spl0_285 ),
inference(constrained_superposition,[],[f26411,f37]) ).
thf(f26426,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_37
| ~ spl0_109
| spl0_285 ),
inference(trivial_inequality_removal,[],[f26424]) ).
thf(f26610,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_37
| ~ spl0_109
| spl0_285 ),
inference(constrained_superposition,[],[f26426,f36]) ).
thf(f26612,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_37
| ~ spl0_109
| spl0_285 ),
inference(trivial_inequality_removal,[],[f26610]) ).
thf(f26615,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_109
| spl0_285
| spl0_292 ),
inference(constrained_superposition,[],[f18912,f26612]) ).
thf(f26628,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_37
| ~ spl0_109
| spl0_285
| spl0_292 ),
inference(trivial_inequality_removal,[],[f26615]) ).
thf(f26639,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_37
| ~ spl0_109
| ~ spl0_180
| ~ spl0_213
| spl0_285
| spl0_292 ),
inference(forward_subsumption_resolution,[],[f26628,f24423]) ).
thf(f26642,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_37
| ~ spl0_109
| ~ spl0_180
| ~ spl0_213
| spl0_285
| spl0_292 ),
inference(forward_subsumption_resolution,[],[f26639,f30]) ).
thf(f26645,plain,
( $false
| ~ spl0_37
| spl0_66
| ~ spl0_109
| ~ spl0_180
| ~ spl0_213
| spl0_285
| spl0_292 ),
inference(forward_subsumption_resolution,[],[f26642,f6034]) ).
thf(f26646,plain,
( ~ spl0_37
| spl0_66
| ~ spl0_109
| ~ spl0_180
| ~ spl0_213
| spl0_285
| spl0_292 ),
inference(avatar_contradiction_clause,[],[f26645]) ).
thf(f26666,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f26,f572]) ).
thf(f26667,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f26666]) ).
thf(f26668,plain,
( spl0_38
| spl0_37
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f26667,f571,f628,f644]) ).
thf(f26686,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_74 ),
inference(constrained_superposition,[],[f26,f3812]) ).
thf(f26687,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f26686]) ).
thf(f26688,plain,
( spl0_59
| spl0_100
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f26687,f3811,f4253,f2862]) ).
thf(f26690,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true != $true ) )
| ~ spl0_87 ),
inference(constrained_superposition,[],[f26,f3972]) ).
thf(f26691,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f26690]) ).
thf(f26693,plain,
( spl0_100
| spl0_8
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f26691,f3971,f120,f4253]) ).
thf(f26717,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f26,f9600]) ).
thf(f26718,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f26717]) ).
thf(f26719,plain,
( spl0_243
| spl0_232
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f26718,f9599,f9899,f10095]) ).
thf(f26720,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_275 ),
inference(constrained_superposition,[],[f26,f11403]) ).
thf(f26721,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f26720]) ).
thf(f26722,plain,
( spl0_278
| spl0_37
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f26721,f11402,f628,f11529]) ).
thf(f26735,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_25
| ~ spl0_183 ),
inference(constrained_superposition,[],[f565,f8811]) ).
thf(f26742,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f549,f8811]) ).
thf(f26743,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f1138,f8811]) ).
thf(f26745,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f190,f8811]) ).
thf(f26747,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f70,f8811]) ).
thf(f26748,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f50,f8811]) ).
thf(f26749,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f43,f8811]) ).
thf(f26752,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f26745]) ).
thf(f26753,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f26748]) ).
thf(f26760,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f26743]) ).
thf(f26762,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( 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 @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f26735]) ).
thf(f26763,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f26749]) ).
thf(f26765,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f26747]) ).
thf(f26769,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f26742]) ).
thf(f26772,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_183
| spl0_196 ),
inference(forward_subsumption_resolution,[],[f26765,f9529]) ).
thf(f26776,plain,
( spl0_195
| ~ spl0_71
| ~ spl0_183
| spl0_196 ),
inference(avatar_split_clause,[],[f26772,f8903,f8810,f3772,f8900]) ).
thf(f26841,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f8881,f466]) ).
thf(f26843,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f26841]) ).
thf(f26854,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f103,f57]) ).
thf(f26858,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f26854]) ).
thf(f26867,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_87
| ~ spl0_340 ),
inference(constrained_superposition,[],[f21644,f3972]) ).
thf(f26875,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_87
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f26867]) ).
thf(f26877,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_24
| ~ spl0_87
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f26875,f562]) ).
thf(f26880,plain,
( $false
| ~ spl0_24
| spl0_77
| ~ spl0_87
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f26877,f8913]) ).
thf(f26881,plain,
( ~ spl0_24
| spl0_77
| ~ spl0_87
| ~ spl0_340 ),
inference(avatar_contradiction_clause,[],[f26880]) ).
thf(f26886,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f26858,f465]) ).
thf(f26889,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_5
| ~ spl0_183 ),
inference(constrained_superposition,[],[f26858,f8811]) ).
thf(f26894,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f26886]) ).
thf(f26895,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_5
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f26889]) ).
thf(f26921,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_143
| ~ spl0_183 ),
inference(constrained_superposition,[],[f5785,f8811]) ).
thf(f26932,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_143
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f26921]) ).
thf(f27049,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_272 ),
inference(constrained_superposition,[],[f26331,f35]) ).
thf(f27053,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_272 ),
inference(constrained_superposition,[],[f26331,f58]) ).
thf(f27058,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f27053]) ).
thf(f27059,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f27049]) ).
thf(f27068,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_102
| ~ spl0_180
| ~ spl0_212 ),
inference(constrained_superposition,[],[f26380,f4354]) ).
thf(f27074,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_102
| ~ spl0_180
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f27068]) ).
thf(f27076,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_102
| ~ spl0_180
| spl0_196
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f27074,f9529]) ).
thf(f27077,plain,
( spl0_231
| spl0_210
| ~ spl0_102
| ~ spl0_180
| spl0_196
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f27076,f9414,f8903,f8800,f4353,f9267,f9868]) ).
thf(f27113,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_231 ),
inference(constrained_superposition,[],[f1922,f9869]) ).
thf(f27272,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[],[f27113,f29]) ).
thf(f27286,plain,
( $false
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[],[f27272,f28]) ).
thf(f27287,plain,
~ spl0_231,
inference(avatar_contradiction_clause,[],[f27286]) ).
thf(f27290,plain,
( spl0_275
| spl0_189
| ~ spl0_136
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f26760,f8810,f5207,f8873,f11402]) ).
thf(f27291,plain,
( ~ spl0_119
| spl0_275
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f26843,f8880,f11402,f4639]) ).
thf(f27292,plain,
( spl0_292
| ~ spl0_71
| spl0_139
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f26752,f8810,f5760,f3772,f13876]) ).
thf(f27306,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f26,f4604]) ).
thf(f27308,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f27306]) ).
thf(f27309,plain,
( spl0_126
| spl0_37
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f27308,f4603,f628,f4939]) ).
thf(f27325,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f18636,f465]) ).
thf(f27328,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f27325]) ).
thf(f27333,plain,
( spl0_308
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f27328,f18635,f14499]) ).
thf(f27336,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_214 ),
inference(constrained_superposition,[],[f26,f9472]) ).
thf(f27338,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f27336]) ).
thf(f27340,plain,
( spl0_276
| spl0_232
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f27338,f9471,f9899,f11421]) ).
thf(f27358,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_180
| ~ spl0_276 ),
inference(constrained_superposition,[],[f11422,f8801]) ).
thf(f27361,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_180
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f27358]) ).
thf(f27376,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_160
| ~ spl0_292 ),
inference(constrained_superposition,[],[f6621,f13877]) ).
thf(f27379,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_160
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f27376]) ).
thf(f27387,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_160
| ~ spl0_285
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f27379,f13635]) ).
thf(f27389,plain,
( spl0_186
| ~ spl0_160
| ~ spl0_285
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f27387,f13876,f13634,f6620,f8861]) ).
thf(f27393,plain,
( ~ spl0_187
| ~ spl0_180
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f27361,f11421,f8800,f8865]) ).
thf(f27394,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_66
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f27058,f6034]) ).
thf(f27397,plain,
( ~ spl0_192
| spl0_191
| ~ spl0_143
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f26932,f8810,f5784,f8880,f8886]) ).
thf(f27399,plain,
( spl0_285
| spl0_289
| spl0_66
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f27394,f11367,f3579,f13751,f13634]) ).
thf(f27400,plain,
( spl0_27
| ~ spl0_41
| spl0_308
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f26894,f102,f14499,f717,f571]) ).
thf(f27402,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f27059,f30]) ).
thf(f27405,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_5
| ~ spl0_183
| spl0_196 ),
inference(forward_subsumption_resolution,[],[f26895,f9529]) ).
thf(f27407,plain,
( spl0_186
| ~ spl0_67
| spl0_147
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f26753,f8810,f5824,f3582,f8861]) ).
thf(f27408,plain,
( ~ spl0_136
| spl0_187
| spl0_143
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f26769,f8810,f5784,f8865,f5207]) ).
thf(f27409,plain,
( ~ spl0_67
| spl0_188
| spl0_189
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f26763,f8810,f8873,f8870,f3582]) ).
thf(f27410,plain,
( ~ spl0_67
| ~ spl0_192
| spl0_128
| spl0_191
| ~ spl0_25
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f26762,f8810,f564,f8880,f4947,f8886,f3582]) ).
thf(f27411,plain,
( spl0_24
| spl0_87
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f27402,f11367,f3971,f561]) ).
thf(f27412,plain,
( ~ spl0_282
| ~ spl0_67
| ~ spl0_5
| ~ spl0_183
| spl0_196 ),
inference(avatar_split_clause,[],[f27405,f8903,f8810,f102,f3582,f13394]) ).
thf(f27434,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f26,f3842]) ).
thf(f27435,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f27434]) ).
thf(f27436,plain,
( spl0_58
| spl0_59
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f27435,f3841,f2862,f2859]) ).
thf(f27448,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f26,f8862]) ).
thf(f27449,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f27448]) ).
thf(f27450,plain,
( spl0_209
| spl0_208
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f27449,f8861,f9232,f9244]) ).
thf(f27459,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_128 ),
inference(constrained_superposition,[],[f26,f4948]) ).
thf(f27460,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_128 ),
inference(trivial_inequality_removal,[],[f27459]) ).
thf(f27462,plain,
( spl0_59
| spl0_126
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f27460,f4947,f4939,f2862]) ).
thf(f27527,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_278 ),
inference(constrained_superposition,[],[f11530,f8818]) ).
thf(f27531,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_185
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f27527]) ).
thf(f27559,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f1169,f36]) ).
thf(f27562,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f27559]) ).
thf(f27568,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_341 ),
inference(constrained_superposition,[],[f21703,f8818]) ).
thf(f27570,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_180
| ~ spl0_341 ),
inference(constrained_superposition,[],[f21703,f8801]) ).
thf(f27572,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_202
| ~ spl0_341 ),
inference(constrained_superposition,[],[f21703,f9206]) ).
thf(f27575,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_185
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f27568]) ).
thf(f27576,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_202
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f27572]) ).
thf(f27577,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_180
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f27570]) ).
thf(f27582,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_128
| ~ spl0_202
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f27576,f4948]) ).
thf(f27583,plain,
( spl0_290
| ~ spl0_128
| ~ spl0_202
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f27582,f21702,f9205,f4947,f13755]) ).
thf(f27584,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_214 ),
inference(avatar_component_clause,[],[f9471]) ).
thf(f27585,plain,
( spl0_292
| ~ spl0_214
| ~ spl0_185
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f27575,f21702,f8817,f9471,f13876]) ).
thf(f27586,plain,
( ~ spl0_214
| ~ spl0_185
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f27531,f11529,f8817,f9471]) ).
thf(f27588,plain,
( spl0_290
| ~ spl0_187
| ~ spl0_180
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f27577,f21702,f8800,f8865,f13755]) ).
thf(f27589,plain,
( spl0_330
| ~ spl0_6
| spl0_28
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f27562,f1168,f575,f105,f18635]) ).
thf(f27590,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f26,f13635]) ).
thf(f27591,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f27590]) ).
thf(f27592,plain,
( spl0_15
| spl0_38
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f27591,f13634,f644,f179]) ).
thf(f27656,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f26,f13756]) ).
thf(f27658,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f27656]) ).
thf(f27659,plain,
( spl0_243
| spl0_15
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f27658,f13755,f179,f10095]) ).
thf(f27718,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f1138,f9209]) ).
thf(f27726,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f27718]) ).
thf(f27742,plain,
( spl0_220
| ~ spl0_136
| spl0_274
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f27726,f9208,f11397,f5207,f9492]) ).
thf(f27757,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_308 ),
inference(constrained_superposition,[],[f14500,f36]) ).
thf(f27759,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f27757]) ).
thf(f27847,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f26,f73]) ).
thf(f27848,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f27847]) ).
thf(f27849,plain,
( spl0_8
| spl0_9
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f27848,f72,f123,f120]) ).
thf(f27882,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f26,f13877]) ).
thf(f27883,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f27882]) ).
thf(f27884,plain,
( spl0_230
| spl0_15
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f27883,f13876,f179,f9847]) ).
thf(f27901,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_202
| ~ spl0_243 ),
inference(constrained_superposition,[],[f10096,f9206]) ).
thf(f27903,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f26,f9206]) ).
thf(f27905,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_202
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f27901]) ).
thf(f27906,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f27903]) ).
thf(f27907,plain,
( spl0_212
| spl0_59
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f27906,f9205,f2862,f9414]) ).
thf(f27909,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_100
| ~ spl0_225 ),
inference(constrained_superposition,[],[f4254,f9587]) ).
thf(f27910,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_225 ),
inference(constrained_superposition,[],[f26,f9587]) ).
thf(f27912,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f27910]) ).
thf(f27913,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_100
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f27909]) ).
thf(f27914,plain,
( spl0_212
| spl0_232
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f27912,f9586,f9899,f9414]) ).
thf(f27930,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f8881,f35]) ).
thf(f27936,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f8881,f58]) ).
thf(f27937,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f27930]) ).
thf(f27941,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f27936]) ).
thf(f27945,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_180
| ~ spl0_212 ),
inference(constrained_superposition,[],[f9415,f8801]) ).
thf(f27948,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_180
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f27945]) ).
thf(f27950,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f4592,f35]) ).
thf(f27958,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f27950]) ).
thf(f27961,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_24
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f27958,f4027]) ).
thf(f27967,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f27961,f31]) ).
thf(f27973,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f27967]) ).
thf(f27978,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f5825,f57]) ).
thf(f27988,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f27978]) ).
thf(f27996,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f8901,f36]) ).
thf(f28000,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f27996]) ).
thf(f28017,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f5785,f36]) ).
thf(f28027,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f28017]) ).
thf(f28048,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f8874,f35]) ).
thf(f28053,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f8874,f466]) ).
thf(f28057,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f28048]) ).
thf(f28061,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f28053]) ).
thf(f28176,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_97
| spl0_214 ),
inference(constrained_superposition,[],[f27584,f4173]) ).
thf(f28180,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_97
| spl0_214 ),
inference(trivial_inequality_removal,[],[f28176]) ).
thf(f28183,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_97
| ~ spl0_100
| spl0_214
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f28180,f27913]) ).
thf(f28185,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_97
| ~ spl0_100
| spl0_214
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f28183,f30]) ).
thf(f28187,plain,
( spl0_240
| ~ spl0_97
| ~ spl0_100
| spl0_214
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f28185,f9586,f9471,f4253,f4172,f10071]) ).
thf(f28195,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_101
| ~ spl0_180
| ~ spl0_212 ),
inference(constrained_superposition,[],[f27948,f4261]) ).
thf(f28197,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_101
| ~ spl0_180
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f28195]) ).
thf(f28204,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_101
| ~ spl0_180
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f28197,f30]) ).
thf(f28205,plain,
( spl0_186
| spl0_231
| ~ spl0_101
| ~ spl0_180
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f28204,f9414,f8800,f4260,f9868,f8861]) ).
thf(f28206,plain,
( ~ spl0_67
| spl0_188
| spl0_321
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f28057,f8873,f15917,f8870,f3582]) ).
thf(f28207,plain,
( spl0_321
| spl0_74
| ~ spl0_41
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f28027,f5784,f717,f3811,f15917]) ).
thf(f28215,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f27973,f31]) ).
thf(f28217,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f28215]) ).
thf(f28218,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_187
| ~ spl0_308 ),
inference(constrained_superposition,[],[f17660,f27759]) ).
thf(f28222,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_187
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f28218]) ).
thf(f28226,plain,
( spl0_186
| spl0_187
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f28222,f14499,f8865,f8861]) ).
thf(f28229,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f28217,f31]) ).
thf(f28232,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| spl0_24
| ~ spl0_109 ),
inference(duplicate_literal_removal,[],[f28229]) ).
thf(f28233,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f28232]) ).
thf(f28238,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_24
| ~ spl0_109
| ~ spl0_212 ),
inference(constrained_superposition,[],[f9415,f28233]) ).
thf(f28239,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_243 ),
inference(constrained_superposition,[],[f10096,f28233]) ).
thf(f28240,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_222 ),
inference(constrained_superposition,[],[f9533,f28233]) ).
thf(f28241,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_24
| ~ spl0_109
| ~ spl0_230 ),
inference(constrained_superposition,[],[f9848,f28233]) ).
thf(f28246,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_24
| ~ spl0_109
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f28239]) ).
thf(f28249,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_24
| ~ spl0_109
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f28240]) ).
thf(f28250,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_24
| ~ spl0_109
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f28238]) ).
thf(f28254,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f28241]) ).
thf(f28258,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_112
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f28250,f4604]) ).
thf(f28261,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f28254,f30]) ).
thf(f28263,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_275 ),
inference(avatar_component_clause,[],[f11402]) ).
thf(f28266,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_24
| ~ spl0_109
| ~ spl0_112
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f28258,f30]) ).
thf(f28268,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_24
| ~ spl0_27
| ~ spl0_109
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f28261,f572]) ).
thf(f28273,plain,
( spl0_211
| spl0_186
| spl0_188
| spl0_24
| ~ spl0_27
| ~ spl0_109
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f28268,f9847,f4591,f571,f561,f8870,f8861,f9270]) ).
thf(f28277,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_24
| ~ spl0_109
| ~ spl0_243 ),
inference(forward_subsumption_resolution,[],[f28246,f30]) ).
thf(f28278,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_24
| ~ spl0_109
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f28249,f30]) ).
thf(f28279,plain,
( spl0_221
| spl0_219
| spl0_240
| spl0_24
| ~ spl0_109
| ~ spl0_112
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f28266,f9414,f4603,f4591,f561,f10071,f9489,f9496]) ).
thf(f28281,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_24
| ~ spl0_27
| ~ spl0_109
| ~ spl0_243 ),
inference(forward_subsumption_resolution,[],[f28277,f572]) ).
thf(f28282,plain,
( spl0_221
| spl0_240
| ~ spl0_275
| spl0_219
| spl0_24
| ~ spl0_109
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f28278,f9532,f4591,f561,f9489,f11402,f10071,f9496]) ).
thf(f28283,plain,
( spl0_221
| spl0_219
| spl0_240
| spl0_24
| ~ spl0_27
| ~ spl0_109
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f28281,f10095,f4591,f571,f561,f10071,f9489,f9496]) ).
thf(f28284,plain,
( ~ spl0_12
| spl0_139
| spl0_77
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f27988,f5824,f3841,f5760,f159]) ).
thf(f28285,plain,
( spl0_275
| spl0_272
| ~ spl0_136
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f28061,f8873,f5207,f11367,f11402]) ).
thf(f28286,plain,
( ~ spl0_77
| ~ spl0_202
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f27905,f10095,f9205,f3841]) ).
thf(f28299,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_160
| ~ spl0_202 ),
inference(constrained_superposition,[],[f6621,f9206]) ).
thf(f28303,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_160
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f28299]) ).
thf(f28311,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_128
| ~ spl0_160
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[],[f28303,f4948]) ).
thf(f28314,plain,
( spl0_221
| ~ spl0_128
| ~ spl0_160
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f28311,f9205,f6620,f4947,f9496]) ).
thf(f28315,plain,
( spl0_188
| ~ spl0_86
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f27937,f8880,f3965,f8870]) ).
thf(f28316,plain,
( spl0_292
| ~ spl0_70
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f27941,f8880,f3636,f13876]) ).
thf(f28320,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f26,f13752]) ).
thf(f28323,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f28320]) ).
thf(f28324,plain,
( spl0_15
| spl0_58
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f28323,f13751,f2859,f179]) ).
thf(f28331,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_188 ),
inference(constrained_superposition,[],[f26,f8871]) ).
thf(f28332,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f28331]) ).
thf(f28333,plain,
( spl0_8
| spl0_208
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f28332,f8870,f9232,f120]) ).
thf(f28335,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f26,f8866]) ).
thf(f28336,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f28335]) ).
thf(f28338,plain,
( spl0_209
| spl0_278
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f28336,f8865,f11529,f9244]) ).
thf(f28399,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_195
| ~ spl0_203 ),
inference(constrained_superposition,[],[f8901,f9209]) ).
thf(f28407,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f549,f9209]) ).
thf(f28410,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f190,f9209]) ).
thf(f28411,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f150,f9209]) ).
thf(f28412,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f70,f9209]) ).
thf(f28413,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f50,f9209]) ).
thf(f28414,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f43,f9209]) ).
thf(f28416,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f28410]) ).
thf(f28426,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_195
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f28399]) ).
thf(f28428,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f28413]) ).
thf(f28429,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f28411]) ).
thf(f28430,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f28412]) ).
thf(f28431,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f28414]) ).
thf(f28433,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f28407]) ).
thf(f28467,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f4592,f465]) ).
thf(f28470,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f28467]) ).
thf(f28532,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f28470,f57]) ).
thf(f28542,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f28532]) ).
thf(f28548,plain,
( spl0_33
| ~ spl0_12
| ~ spl0_50
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f28542,f4591,f1164,f159,f599]) ).
thf(f28557,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_363 ),
inference(constrained_superposition,[],[f25098,f35]) ).
thf(f28563,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_363 ),
inference(constrained_superposition,[],[f25098,f58]) ).
thf(f28565,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_363 ),
inference(trivial_inequality_removal,[],[f28563]) ).
thf(f28566,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_363 ),
inference(trivial_inequality_removal,[],[f28557]) ).
thf(f28573,plain,
( ~ spl0_86
| spl0_330
| ~ spl0_41
| spl0_219
| ~ spl0_363 ),
inference(avatar_split_clause,[],[f28566,f25097,f9489,f717,f18635,f3965]) ).
thf(f28574,plain,
( spl0_217
| ~ spl0_233
| ~ spl0_195
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f28426,f9208,f8900,f10024,f9482]) ).
thf(f28575,plain,
( spl0_139
| spl0_290
| ~ spl0_71
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f28416,f9208,f3772,f13755,f5760]) ).
thf(f28576,plain,
( spl0_290
| ~ spl0_70
| ~ spl0_43
| spl0_48
| ~ spl0_363 ),
inference(avatar_split_clause,[],[f28565,f25097,f1158,f739,f3636,f13755]) ).
thf(f28577,plain,
( spl0_220
| ~ spl0_67
| spl0_219
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f28431,f9208,f9489,f3582,f9492]) ).
thf(f28578,plain,
( ~ spl0_67
| spl0_147
| spl0_221
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f28428,f9208,f9496,f5824,f3582]) ).
thf(f28579,plain,
( spl0_291
| spl0_290
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f28429,f9208,f13755,f13759]) ).
thf(f28627,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_182 ),
inference(constrained_superposition,[],[f26,f8808]) ).
thf(f28629,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f28627]) ).
thf(f28630,plain,
( spl0_197
| spl0_59
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f28629,f8807,f2862,f8916]) ).
thf(f28728,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_220 ),
inference(constrained_superposition,[],[f9493,f35]) ).
thf(f28733,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_220 ),
inference(constrained_superposition,[],[f9493,f466]) ).
thf(f28735,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f28728]) ).
thf(f28743,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f28733]) ).
thf(f28744,plain,
( ~ spl0_67
| spl0_219
| spl0_321
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f28735,f9492,f15917,f9489,f3582]) ).
thf(f28745,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_203
| spl0_214 ),
inference(forward_subsumption_resolution,[],[f28433,f27584]) ).
thf(f28746,plain,
( spl0_74
| spl0_321
| ~ spl0_6
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f28000,f8900,f105,f15917,f3811]) ).
thf(f28747,plain,
( ~ spl0_136
| spl0_274
| spl0_272
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f28743,f9492,f11367,f11397,f5207]) ).
thf(f28748,plain,
( spl0_143
| ~ spl0_136
| ~ spl0_203
| spl0_214 ),
inference(avatar_split_clause,[],[f28745,f9471,f9208,f5207,f5784]) ).
thf(f28770,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f26,f9497]) ).
thf(f28771,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f28770]) ).
thf(f28772,plain,
( spl0_232
| spl0_213
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f28771,f9496,f9429,f9899]) ).
thf(f28793,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_16
| spl0_292 ),
inference(constrained_superposition,[],[f18912,f202]) ).
thf(f28803,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f26,f202]) ).
thf(f28806,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f28803]) ).
thf(f28807,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_16
| spl0_292 ),
inference(trivial_inequality_removal,[],[f28793]) ).
thf(f28815,plain,
( spl0_15
| spl0_18
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f28806,f201,f210,f179]) ).
thf(f28816,plain,
( spl0_188
| ~ spl0_16
| spl0_292 ),
inference(avatar_split_clause,[],[f28807,f13876,f201,f8870]) ).
thf(f28930,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f5785,f57]) ).
thf(f28936,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f28930]) ).
thf(f28969,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_40
| spl0_187 ),
inference(constrained_superposition,[],[f17660,f715]) ).
thf(f28970,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_40
| spl0_214 ),
inference(constrained_superposition,[],[f27584,f715]) ).
thf(f28976,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_40
| spl0_214 ),
inference(trivial_inequality_removal,[],[f28970]) ).
thf(f28977,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_40
| spl0_187 ),
inference(trivial_inequality_removal,[],[f28969]) ).
thf(f28983,plain,
( spl0_219
| ~ spl0_40
| spl0_214 ),
inference(avatar_split_clause,[],[f28976,f9471,f714,f9489]) ).
thf(f28984,plain,
( spl0_188
| ~ spl0_40
| spl0_187 ),
inference(avatar_split_clause,[],[f28977,f8865,f714,f8870]) ).
thf(f29050,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| spl0_77
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f28936,f8913]) ).
thf(f29051,plain,
( ~ spl0_71
| spl0_228
| spl0_195
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f28430,f9208,f8900,f9599,f3772]) ).
thf(f29052,plain,
( ~ spl0_43
| spl0_139
| spl0_77
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f29050,f5784,f3841,f5760,f739]) ).
thf(f29071,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f26,f11398]) ).
thf(f29075,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f29071]) ).
thf(f29076,plain,
( spl0_37
| spl0_276
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f29075,f11397,f11421,f628]) ).
thf(f29159,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_110
| spl0_275 ),
inference(constrained_superposition,[],[f28263,f4595]) ).
thf(f29180,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_110
| spl0_275 ),
inference(trivial_inequality_removal,[],[f29159]) ).
thf(f29185,plain,
( spl0_186
| ~ spl0_110
| spl0_275 ),
inference(avatar_split_clause,[],[f29180,f11402,f4594,f8861]) ).
thf(f29196,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f4592,f35]) ).
thf(f29205,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f29196]) ).
thf(f29207,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_24
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f29205,f4027]) ).
thf(f29213,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f29207,f31]) ).
thf(f29219,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f29213]) ).
thf(f29246,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( $true != $true ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f29219,f31]) ).
thf(f29247,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f29246]) ).
thf(f29249,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ z )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| spl0_24
| ~ spl0_109 ),
inference(constrained_superposition,[],[f29247,f31]) ).
thf(f29252,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_24
| ~ spl0_109 ),
inference(duplicate_literal_removal,[],[f29249]) ).
thf(f29253,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_24
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f29252]) ).
thf(f29256,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_24
| ~ spl0_109
| spl0_275 ),
inference(constrained_superposition,[],[f28263,f29253]) ).
thf(f29282,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_24
| ~ spl0_109
| spl0_275 ),
inference(trivial_inequality_removal,[],[f29256]) ).
thf(f29286,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_24
| ~ spl0_109
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f29282,f30]) ).
thf(f29288,plain,
( spl0_186
| spl0_211
| spl0_188
| spl0_24
| ~ spl0_109
| spl0_275 ),
inference(avatar_split_clause,[],[f29286,f11402,f4591,f561,f8870,f9270,f8861]) ).
cnf(s3,plain,
( spl0_5
| ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f110]) ).
cnf(s4,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f115]) ).
cnf(s9,plain,
( ~ spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f169]) ).
cnf(s10,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f175]) ).
cnf(s12,plain,
( ~ spl0_4
| spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f181]) ).
cnf(s13,plain,
( ~ spl0_6
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f206]) ).
cnf(s15,plain,
( ~ spl0_4
| ~ spl0_15 ),
inference(sat_conversion,[],[f217]) ).
cnf(s16,plain,
( spl0_8
| ~ spl0_15
| ~ spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f224]) ).
cnf(s22,plain,
( ~ spl0_7
| spl0_18 ),
inference(sat_conversion,[],[f358]) ).
cnf(s27,plain,
( spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f566]) ).
cnf(s30,plain,
( spl0_28
| spl0_30 ),
inference(sat_conversion,[],[f585]) ).
cnf(s31,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_24
| spl0_31 ),
inference(sat_conversion,[],[f590]) ).
cnf(s36,plain,
( spl0_8
| ~ spl0_24
| spl0_36 ),
inference(sat_conversion,[],[f618]) ).
cnf(s37,plain,
( ~ spl0_28
| spl0_36
| spl0_37 ),
inference(sat_conversion,[],[f630]) ).
cnf(s38,plain,
( ~ spl0_27
| spl0_37
| spl0_38 ),
inference(sat_conversion,[],[f646]) ).
cnf(s39,plain,
( ~ spl0_28
| ~ spl0_37 ),
inference(sat_conversion,[],[f661]) ).
cnf(s40,plain,
( ~ spl0_27
| ~ spl0_37 ),
inference(sat_conversion,[],[f663]) ).
cnf(s42,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_15
| spl0_40
| ~ spl0_41 ),
inference(sat_conversion,[],[f719]) ).
cnf(s43,plain,
( ~ spl0_15
| spl0_42
| ~ spl0_43
| spl0_44 ),
inference(sat_conversion,[],[f744]) ).
cnf(s46,plain,
( ~ spl0_15
| spl0_34
| spl0_43 ),
inference(sat_conversion,[],[f757]) ).
cnf(s47,plain,
( spl0_31
| ~ spl0_42 ),
inference(sat_conversion,[],[f771]) ).
cnf(s51,plain,
( ~ spl0_17
| ~ spl0_36
| ~ spl0_38
| ~ spl0_44 ),
inference(sat_conversion,[],[f848]) ).
cnf(s52,plain,
( spl0_24
| spl0_41 ),
inference(sat_conversion,[],[f851]) ).
cnf(s53,plain,
( spl0_28
| spl0_32 ),
inference(sat_conversion,[],[f852]) ).
cnf(s69,plain,
( ~ spl0_15
| spl0_48
| spl0_49
| ~ spl0_50 ),
inference(sat_conversion,[],[f1166]) ).
cnf(s72,plain,
( ~ spl0_15
| ~ spl0_43
| spl0_53 ),
inference(sat_conversion,[],[f1219]) ).
cnf(s73,plain,
( ~ spl0_43
| spl0_48
| spl0_49
| ~ spl0_53 ),
inference(sat_conversion,[],[f1234]) ).
cnf(s75,plain,
( ~ spl0_9
| ~ spl0_17
| ~ spl0_27
| spl0_34
| spl0_54 ),
inference(sat_conversion,[],[f1630]) ).
cnf(s77,plain,
( spl0_27
| spl0_50 ),
inference(sat_conversion,[],[f1633]) ).
cnf(s78,plain,
( spl0_27
| spl0_34
| spl0_50 ),
inference(sat_conversion,[],[f1635]) ).
cnf(s116,plain,
( ~ spl0_15
| spl0_68
| spl0_69
| ~ spl0_70 ),
inference(sat_conversion,[],[f3638]) ).
cnf(s119,plain,
( ~ spl0_15
| spl0_66
| spl0_70 ),
inference(sat_conversion,[],[f3651]) ).
cnf(s130,plain,
( spl0_67
| spl0_74 ),
inference(sat_conversion,[],[f3856]) ).
cnf(s217,plain,
( ~ spl0_7
| spl0_24
| ~ spl0_37 ),
inference(sat_conversion,[],[f4162]) ).
cnf(s226,plain,
( ~ spl0_17
| spl0_34
| ~ spl0_37 ),
inference(sat_conversion,[],[f4183]) ).
cnf(s237,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_74
| spl0_87 ),
inference(sat_conversion,[],[f4237]) ).
cnf(s241,plain,
( spl0_59
| ~ spl0_74
| spl0_100 ),
inference(sat_conversion,[],[f4255]) ).
cnf(s252,plain,
( ~ spl0_59
| ~ spl0_74 ),
inference(sat_conversion,[],[f4347]) ).
cnf(s269,plain,
( ~ spl0_7
| spl0_24
| spl0_27 ),
inference(sat_conversion,[],[f4491]) ).
cnf(s278,plain,
( ~ spl0_5
| spl0_24
| spl0_27
| spl0_34
| spl0_97 ),
inference(sat_conversion,[],[f4507]) ).
cnf(s282,plain,
( ~ spl0_17
| spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f4515]) ).
cnf(s297,plain,
( ~ spl0_32
| spl0_109
| spl0_110 ),
inference(sat_conversion,[],[f4596]) ).
cnf(s319,plain,
( ~ spl0_50
| spl0_51
| spl0_121 ),
inference(sat_conversion,[],[f4660]) ).
cnf(s331,plain,
( spl0_86
| spl0_87 ),
inference(sat_conversion,[],[f4688]) ).
cnf(s333,plain,
( ~ spl0_28
| ~ spl0_100
| ~ spl0_112 ),
inference(sat_conversion,[],[f4750]) ).
cnf(s349,plain,
( ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| spl0_17
| spl0_123 ),
inference(sat_conversion,[],[f4906]) ).
cnf(s353,plain,
( spl0_24
| ~ spl0_123 ),
inference(sat_conversion,[],[f4924]) ).
cnf(s357,plain,
( spl0_29
| ~ spl0_48 ),
inference(sat_conversion,[],[f4930]) ).
cnf(s369,plain,
( spl0_112
| spl0_119 ),
inference(sat_conversion,[],[f4956]) ).
cnf(s371,plain,
( spl0_112
| spl0_119
| spl0_129 ),
inference(sat_conversion,[],[f4961]) ).
cnf(s373,plain,
( ~ spl0_1
| ~ spl0_8 ),
inference(sat_conversion,[],[f4969]) ).
cnf(s379,plain,
( ~ spl0_59
| ~ spl0_128 ),
inference(sat_conversion,[],[f5010]) ).
cnf(s394,plain,
( ~ spl0_123
| ~ spl0_126 ),
inference(sat_conversion,[],[f5094]) ).
cnf(s397,plain,
( ~ spl0_29
| spl0_33 ),
inference(sat_conversion,[],[f5108]) ).
cnf(s508,plain,
( ~ spl0_48
| spl0_93 ),
inference(sat_conversion,[],[f6530]) ).
cnf(s539,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_123 ),
inference(sat_conversion,[],[f7546]) ).
cnf(s545,plain,
( spl0_37
| ~ spl0_49
| spl0_165 ),
inference(sat_conversion,[],[f7599]) ).
cnf(s672,plain,
( spl0_34
| spl0_180
| spl0_181 ),
inference(sat_conversion,[],[f8805]) ).
cnf(s673,plain,
( spl0_34
| spl0_182
| spl0_183 ),
inference(sat_conversion,[],[f8812]) ).
cnf(s674,plain,
( spl0_34
| spl0_184
| spl0_185 ),
inference(sat_conversion,[],[f8819]) ).
cnf(s683,plain,
( ~ spl0_109
| spl0_128
| ~ spl0_183
| ~ spl0_190
| ~ spl0_194 ),
inference(sat_conversion,[],[f8897]) ).
cnf(s686,plain,
( ~ spl0_15
| ~ spl0_71
| spl0_139
| ~ spl0_183 ),
inference(sat_conversion,[],[f8906]) ).
cnf(s687,plain,
( ~ spl0_18
| ~ spl0_77
| ~ spl0_182
| spl0_188 ),
inference(sat_conversion,[],[f8914]) ).
cnf(s690,plain,
( ~ spl0_17
| spl0_66
| spl0_74
| spl0_77 ),
inference(sat_conversion,[],[f8930]) ).
cnf(s727,plain,
~ spl0_66,
inference(sat_conversion,[],[f9188]) ).
cnf(s733,plain,
( spl0_66
| spl0_202
| spl0_203 ),
inference(sat_conversion,[],[f9210]) ).
cnf(s735,plain,
( spl0_66
| spl0_206
| spl0_207 ),
inference(sat_conversion,[],[f9224]) ).
cnf(s736,plain,
( ~ spl0_24
| ~ spl0_165
| ~ spl0_188 ),
inference(sat_conversion,[],[f9230]) ).
cnf(s738,plain,
( ~ spl0_186
| spl0_208
| spl0_209 ),
inference(sat_conversion,[],[f9246]) ).
cnf(s739,plain,
( ~ spl0_186
| ~ spl0_209 ),
inference(sat_conversion,[],[f9262]) ).
cnf(s742,plain,
( spl0_128
| spl0_129
| spl0_136 ),
inference(sat_conversion,[],[f9283]) ).
cnf(s744,plain,
( spl0_34
| spl0_128
| spl0_136 ),
inference(sat_conversion,[],[f9287]) ).
cnf(s746,plain,
( ~ spl0_36
| ~ spl0_186
| ~ spl0_187 ),
inference(sat_conversion,[],[f9297]) ).
cnf(s747,plain,
( spl0_186
| spl0_190 ),
inference(sat_conversion,[],[f9298]) ).
cnf(s751,plain,
( ~ spl0_36
| ~ spl0_67
| spl0_147
| ~ spl0_183
| ~ spl0_187 ),
inference(sat_conversion,[],[f9358]) ).
cnf(s752,plain,
( ~ spl0_28
| ~ spl0_49
| ~ spl0_208 ),
inference(sat_conversion,[],[f9390]) ).
cnf(s759,plain,
( spl0_8
| ~ spl0_18
| ~ spl0_77
| ~ spl0_202
| spl0_213 ),
inference(sat_conversion,[],[f9431]) ).
cnf(s761,plain,
( ~ spl0_109
| spl0_128
| ~ spl0_203
| ~ spl0_215
| ~ spl0_216 ),
inference(sat_conversion,[],[f9480]) ).
cnf(s765,plain,
( ~ spl0_18
| ~ spl0_180
| ~ spl0_196
| spl0_219 ),
inference(sat_conversion,[],[f9530]) ).
cnf(s775,plain,
( ~ spl0_15
| ~ spl0_181
| spl0_199
| ~ spl0_224 ),
inference(sat_conversion,[],[f9607]) ).
cnf(s778,plain,
( ~ spl0_15
| spl0_200 ),
inference(sat_conversion,[],[f9620]) ).
cnf(s782,plain,
( spl0_187
| spl0_192
| spl0_211 ),
inference(sat_conversion,[],[f9626]) ).
cnf(s784,plain,
( spl0_66
| spl0_187
| spl0_192 ),
inference(sat_conversion,[],[f9627]) ).
cnf(s802,plain,
~ spl0_211,
inference(sat_conversion,[],[f9822]) ).
cnf(s808,plain,
( ~ spl0_17
| spl0_186
| spl0_196
| spl0_210 ),
inference(sat_conversion,[],[f9834]) ).
cnf(s812,plain,
( spl0_193
| spl0_227 ),
inference(sat_conversion,[],[f9866]) ).
cnf(s816,plain,
( spl0_34
| spl0_193
| spl0_227 ),
inference(sat_conversion,[],[f9874]) ).
cnf(s818,plain,
( ~ spl0_58
| ~ spl0_193
| ~ spl0_196 ),
inference(sat_conversion,[],[f9885]) ).
cnf(s819,plain,
( ~ spl0_18
| spl0_87
| ~ spl0_193
| ~ spl0_196 ),
inference(sat_conversion,[],[f9887]) ).
cnf(s823,plain,
( ~ spl0_58
| ~ spl0_225
| ~ spl0_228 ),
inference(sat_conversion,[],[f9904]) ).
cnf(s826,plain,
( ~ spl0_36
| ~ spl0_181
| ~ spl0_190
| ~ spl0_214
| spl0_229 ),
inference(sat_conversion,[],[f9968]) ).
cnf(s828,plain,
( ~ spl0_18
| ~ spl0_185
| spl0_188
| ~ spl0_228 ),
inference(sat_conversion,[],[f9978]) ).
cnf(s830,plain,
( ~ spl0_185
| ~ spl0_228
| ~ spl0_230 ),
inference(sat_conversion,[],[f9981]) ).
cnf(s835,plain,
( ~ spl0_184
| ~ spl0_199
| ~ spl0_233 ),
inference(sat_conversion,[],[f10042]) ).
cnf(s837,plain,
( ~ spl0_15
| ~ spl0_184
| ~ spl0_233
| spl0_235 ),
inference(sat_conversion,[],[f10049]) ).
cnf(s841,plain,
( ~ spl0_36
| ~ spl0_214
| spl0_215 ),
inference(sat_conversion,[],[f10063]) ).
cnf(s843,plain,
( spl0_214
| spl0_218 ),
inference(sat_conversion,[],[f10065]) ).
cnf(s844,plain,
( spl0_215
| spl0_221 ),
inference(sat_conversion,[],[f10066]) ).
cnf(s848,plain,
( spl0_214
| spl0_218
| spl0_240 ),
inference(sat_conversion,[],[f10073]) ).
cnf(s851,plain,
( spl0_228
| spl0_233
| spl0_242 ),
inference(sat_conversion,[],[f10088]) ).
cnf(s852,plain,
( spl0_228
| spl0_233 ),
inference(sat_conversion,[],[f10089]) ).
cnf(s854,plain,
( ~ spl0_228
| spl0_232
| spl0_243 ),
inference(sat_conversion,[],[f10097]) ).
cnf(s855,plain,
( ~ spl0_228
| ~ spl0_232 ),
inference(sat_conversion,[],[f10107]) ).
cnf(s857,plain,
( ~ spl0_17
| ~ spl0_232
| spl0_242 ),
inference(sat_conversion,[],[f10114]) ).
cnf(s861,plain,
( ~ spl0_15
| spl0_234
| spl0_242 ),
inference(sat_conversion,[],[f10144]) ).
cnf(s863,plain,
( ~ spl0_17
| spl0_221
| spl0_228 ),
inference(sat_conversion,[],[f10152]) ).
cnf(s867,plain,
( spl0_225
| spl0_236 ),
inference(sat_conversion,[],[f10171]) ).
cnf(s868,plain,
( spl0_66
| spl0_225
| spl0_236 ),
inference(sat_conversion,[],[f10174]) ).
cnf(s872,plain,
( ~ spl0_28
| ~ spl0_49
| ~ spl0_213 ),
inference(sat_conversion,[],[f10197]) ).
cnf(s875,plain,
( ~ spl0_184
| spl0_188
| ~ spl0_215
| spl0_238 ),
inference(sat_conversion,[],[f10250]) ).
cnf(s885,plain,
( ~ spl0_184
| spl0_187
| ~ spl0_218
| spl0_251 ),
inference(sat_conversion,[],[f10357]) ).
cnf(s909,plain,
( ~ spl0_15
| spl0_261
| spl0_265 ),
inference(sat_conversion,[],[f10553]) ).
cnf(s913,plain,
( spl0_240
| spl0_249
| spl0_255 ),
inference(sat_conversion,[],[f10579]) ).
cnf(s918,plain,
( ~ spl0_206
| ~ spl0_230
| ~ spl0_264 ),
inference(sat_conversion,[],[f10607]) ).
cnf(s927,plain,
( ~ spl0_17
| spl0_246
| spl0_264 ),
inference(sat_conversion,[],[f10626]) ).
cnf(s929,plain,
( ~ spl0_206
| ~ spl0_267 ),
inference(sat_conversion,[],[f10641]) ).
cnf(s971,plain,
~ spl0_265,
inference(sat_conversion,[],[f10921]) ).
cnf(s1007,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_188
| ~ spl0_207
| spl0_260
| ~ spl0_261 ),
inference(sat_conversion,[],[f11211]) ).
cnf(s1009,plain,
( ~ spl0_184
| ~ spl0_191
| ~ spl0_236 ),
inference(sat_conversion,[],[f11256]) ).
cnf(s1011,plain,
( ~ spl0_191
| ~ spl0_207
| ~ spl0_255 ),
inference(sat_conversion,[],[f11259]) ).
cnf(s1012,plain,
( ~ spl0_15
| ~ spl0_70
| ~ spl0_191 ),
inference(sat_conversion,[],[f11260]) ).
cnf(s1013,plain,
( ~ spl0_49
| ~ spl0_197 ),
inference(sat_conversion,[],[f11270]) ).
cnf(s1016,plain,
( ~ spl0_49
| ~ spl0_212 ),
inference(sat_conversion,[],[f11285]) ).
cnf(s1020,plain,
( ~ spl0_181
| ~ spl0_217
| ~ spl0_227 ),
inference(sat_conversion,[],[f11314]) ).
cnf(s1022,plain,
( ~ spl0_49
| ~ spl0_222 ),
inference(sat_conversion,[],[f11325]) ).
cnf(s1028,plain,
( ~ spl0_32
| spl0_128
| ~ spl0_147
| spl0_272 ),
inference(sat_conversion,[],[f11369]) ).
cnf(s1029,plain,
( ~ spl0_147
| ~ spl0_203
| ~ spl0_215
| spl0_217 ),
inference(sat_conversion,[],[f11370]) ).
cnf(s1030,plain,
( ~ spl0_147
| ~ spl0_183
| ~ spl0_190
| spl0_191 ),
inference(sat_conversion,[],[f11371]) ).
cnf(s1031,plain,
( ~ spl0_59
| ~ spl0_77 ),
inference(sat_conversion,[],[f11382]) ).
cnf(s1035,plain,
( ~ spl0_50
| ~ spl0_235
| spl0_274 ),
inference(sat_conversion,[],[f11399]) ).
cnf(s1042,plain,
( ~ spl0_50
| spl0_112
| ~ spl0_139 ),
inference(sat_conversion,[],[f11414]) ).
cnf(s1044,plain,
( spl0_71
| spl0_77 ),
inference(sat_conversion,[],[f11419]) ).
cnf(s1046,plain,
( spl0_194
| spl0_275 ),
inference(sat_conversion,[],[f11424]) ).
cnf(s1051,plain,
( ~ spl0_50
| ~ spl0_199
| spl0_275 ),
inference(sat_conversion,[],[f11431]) ).
cnf(s1055,plain,
( spl0_66
| spl0_71
| spl0_77 ),
inference(sat_conversion,[],[f11440]) ).
cnf(s1068,plain,
( ~ spl0_109
| ~ spl0_181
| spl0_187
| ~ spl0_215
| ~ spl0_216 ),
inference(sat_conversion,[],[f11456]) ).
cnf(s1072,plain,
( ~ spl0_1
| ~ spl0_58
| ~ spl0_123 ),
inference(sat_conversion,[],[f11477]) ).
cnf(s1073,plain,
( ~ spl0_1
| ~ spl0_123
| ~ spl0_230 ),
inference(sat_conversion,[],[f11479]) ).
cnf(s1075,plain,
( spl0_196
| spl0_210
| spl0_224 ),
inference(sat_conversion,[],[f11481]) ).
cnf(s1081,plain,
( spl0_196
| spl0_224 ),
inference(sat_conversion,[],[f11491]) ).
cnf(s1097,plain,
( ~ spl0_1
| ~ spl0_24
| ~ spl0_38 ),
inference(sat_conversion,[],[f11552]) ).
cnf(s1098,plain,
( ~ spl0_46
| ~ spl0_221 ),
inference(sat_conversion,[],[f11554]) ).
cnf(s1105,plain,
( ~ spl0_24
| ~ spl0_123
| ~ spl0_278 ),
inference(sat_conversion,[],[f11607]) ).
cnf(s1108,plain,
( ~ spl0_24
| ~ spl0_123
| ~ spl0_276 ),
inference(sat_conversion,[],[f11625]) ).
cnf(s1109,plain,
( ~ spl0_123
| ~ spl0_197 ),
inference(sat_conversion,[],[f11635]) ).
cnf(s1111,plain,
( ~ spl0_68
| ~ spl0_185
| ~ spl0_197 ),
inference(sat_conversion,[],[f11639]) ).
cnf(s1112,plain,
( ~ spl0_46
| ~ spl0_186 ),
inference(sat_conversion,[],[f11641]) ).
cnf(s1116,plain,
( ~ spl0_19
| ~ spl0_180
| ~ spl0_186 ),
inference(sat_conversion,[],[f11661]) ).
cnf(s1118,plain,
( spl0_66
| ~ spl0_130
| ~ spl0_186 ),
inference(sat_conversion,[],[f11675]) ).
cnf(s1129,plain,
( ~ spl0_19
| ~ spl0_185
| ~ spl0_221 ),
inference(sat_conversion,[],[f11742]) ).
cnf(s1144,plain,
( ~ spl0_123
| ~ spl0_212 ),
inference(sat_conversion,[],[f11924]) ).
cnf(s1156,plain,
( ~ spl0_123
| ~ spl0_222 ),
inference(sat_conversion,[],[f12008]) ).
cnf(s1159,plain,
( ~ spl0_143
| ~ spl0_203
| spl0_217
| ~ spl0_218 ),
inference(sat_conversion,[],[f12049]) ).
cnf(s1160,plain,
( ~ spl0_15
| ~ spl0_31
| ~ spl0_184
| spl0_187
| ~ spl0_233 ),
inference(sat_conversion,[],[f12050]) ).
cnf(s1193,plain,
~ spl0_210,
inference(sat_conversion,[],[f12279]) ).
cnf(s1197,plain,
( ~ spl0_59
| spl0_66
| ~ spl0_93
| spl0_129 ),
inference(sat_conversion,[],[f12296]) ).
cnf(s1215,plain,
~ spl0_129,
inference(sat_conversion,[],[f12458]) ).
cnf(s1218,plain,
( ~ spl0_6
| spl0_87
| ~ spl0_139 ),
inference(sat_conversion,[],[f12461]) ).
cnf(s1219,plain,
( ~ spl0_6
| spl0_219
| ~ spl0_235 ),
inference(sat_conversion,[],[f12462]) ).
cnf(s1222,plain,
( ~ spl0_6
| spl0_248
| ~ spl0_260 ),
inference(sat_conversion,[],[f12465]) ).
cnf(s1223,plain,
( ~ spl0_38
| ~ spl0_187
| ~ spl0_196 ),
inference(sat_conversion,[],[f12517]) ).
cnf(s1226,plain,
( ~ spl0_38
| ~ spl0_214
| ~ spl0_228 ),
inference(sat_conversion,[],[f12537]) ).
cnf(s1228,plain,
( ~ spl0_36
| ~ spl0_214
| ~ spl0_221 ),
inference(sat_conversion,[],[f12541]) ).
cnf(s1237,plain,
( ~ spl0_74
| ~ spl0_182
| ~ spl0_208 ),
inference(sat_conversion,[],[f12568]) ).
cnf(s1239,plain,
( ~ spl0_74
| ~ spl0_202
| ~ spl0_213 ),
inference(sat_conversion,[],[f12584]) ).
cnf(s1240,plain,
( ~ spl0_8
| ~ spl0_248 ),
inference(sat_conversion,[],[f12590]) ).
cnf(s1241,plain,
( ~ spl0_8
| ~ spl0_24 ),
inference(sat_conversion,[],[f12593]) ).
cnf(s1242,plain,
( ~ spl0_8
| ~ spl0_87 ),
inference(sat_conversion,[],[f12595]) ).
cnf(s1243,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_93 ),
inference(sat_conversion,[],[f12599]) ).
cnf(s1244,plain,
( ~ spl0_77
| ~ spl0_182
| ~ spl0_230 ),
inference(sat_conversion,[],[f12600]) ).
cnf(s1245,plain,
( ~ spl0_36
| ~ spl0_74
| ~ spl0_128 ),
inference(sat_conversion,[],[f12611]) ).
cnf(s1247,plain,
( ~ spl0_38
| ~ spl0_77
| ~ spl0_128 ),
inference(sat_conversion,[],[f12613]) ).
cnf(s1254,plain,
( ~ spl0_100
| ~ spl0_221
| ~ spl0_225 ),
inference(sat_conversion,[],[f12645]) ).
cnf(s1255,plain,
( ~ spl0_24
| ~ spl0_87
| ~ spl0_126 ),
inference(sat_conversion,[],[f12649]) ).
cnf(s1257,plain,
( ~ spl0_180
| ~ spl0_186
| ~ spl0_213 ),
inference(sat_conversion,[],[f12674]) ).
cnf(s1259,plain,
( ~ spl0_93
| ~ spl0_126
| ~ spl0_225
| spl0_228
| spl0_240
| spl0_242 ),
inference(sat_conversion,[],[f12685]) ).
cnf(s1273,plain,
~ spl0_240,
inference(sat_conversion,[],[f12853]) ).
cnf(s1304,plain,
~ spl0_242,
inference(sat_conversion,[],[f13067]) ).
cnf(s1314,plain,
( ~ spl0_15
| ~ spl0_31
| ~ spl0_181
| spl0_214
| ~ spl0_224 ),
inference(sat_conversion,[],[f13107]) ).
cnf(s1316,plain,
( ~ spl0_6
| spl0_188
| ~ spl0_199 ),
inference(sat_conversion,[],[f13110]) ).
cnf(s1317,plain,
( ~ spl0_6
| spl0_24
| ~ spl0_48 ),
inference(sat_conversion,[],[f13111]) ).
cnf(s1332,plain,
( ~ spl0_180
| ~ spl0_196
| ~ spl0_243 ),
inference(sat_conversion,[],[f13220]) ).
cnf(s1338,plain,
( ~ spl0_27
| ~ spl0_243
| ~ spl0_274 ),
inference(sat_conversion,[],[f13244]) ).
cnf(s1342,plain,
( ~ spl0_9
| ~ spl0_181
| ~ spl0_190
| ~ spl0_228
| spl0_229 ),
inference(sat_conversion,[],[f13283]) ).
cnf(s1343,plain,
( spl0_66
| spl0_77
| ~ spl0_93
| spl0_129
| ~ spl0_182
| ~ spl0_278 ),
inference(sat_conversion,[],[f13290]) ).
cnf(s1347,plain,
( spl0_66
| spl0_77
| ~ spl0_93
| spl0_129
| ~ spl0_202
| ~ spl0_276 ),
inference(sat_conversion,[],[f13313]) ).
cnf(s1348,plain,
( ~ spl0_182
| ~ spl0_202
| ~ spl0_222 ),
inference(sat_conversion,[],[f13374]) ).
cnf(s1349,plain,
( ~ spl0_194
| ~ spl0_241
| spl0_274 ),
inference(sat_conversion,[],[f13392]) ).
cnf(s1350,plain,
( spl0_219
| ~ spl0_241
| ~ spl0_282 ),
inference(sat_conversion,[],[f13396]) ).
cnf(s1351,plain,
( ~ spl0_15
| ~ spl0_200
| ~ spl0_241 ),
inference(sat_conversion,[],[f13397]) ).
cnf(s1355,plain,
( ~ spl0_130
| spl0_242
| ~ spl0_246 ),
inference(sat_conversion,[],[f13412]) ).
cnf(s1356,plain,
( spl0_34
| ~ spl0_74
| ~ spl0_130 ),
inference(sat_conversion,[],[f13414]) ).
cnf(s1357,plain,
( ~ spl0_130
| spl0_210
| ~ spl0_221 ),
inference(sat_conversion,[],[f13415]) ).
cnf(s1359,plain,
( ~ spl0_67
| ~ spl0_203
| spl0_219
| spl0_220 ),
inference(sat_conversion,[],[f13465]) ).
cnf(s1363,plain,
( ~ spl0_15
| ~ spl0_71
| ~ spl0_88
| ~ spl0_203
| spl0_225 ),
inference(sat_conversion,[],[f13471]) ).
cnf(s1364,plain,
( ~ spl0_71
| ~ spl0_203
| ~ spl0_235 ),
inference(sat_conversion,[],[f13472]) ).
cnf(s1365,plain,
( ~ spl0_15
| ~ spl0_71
| spl0_139
| ~ spl0_203 ),
inference(sat_conversion,[],[f13473]) ).
cnf(s1367,plain,
( ~ spl0_69
| spl0_88 ),
inference(sat_conversion,[],[f13475]) ).
cnf(s1374,plain,
( ~ spl0_185
| ~ spl0_197
| ~ spl0_225 ),
inference(sat_conversion,[],[f13526]) ).
cnf(s1375,plain,
( ~ spl0_185
| ~ spl0_208
| ~ spl0_221 ),
inference(sat_conversion,[],[f13528]) ).
cnf(s1381,plain,
( ~ spl0_100
| ~ spl0_186
| ~ spl0_193 ),
inference(sat_conversion,[],[f13602]) ).
cnf(s1382,plain,
( ~ spl0_1
| ~ spl0_58
| ~ spl0_87 ),
inference(sat_conversion,[],[f13610]) ).
cnf(s1386,plain,
( ~ spl0_9
| ~ spl0_221
| ~ spl0_228 ),
inference(sat_conversion,[],[f13628]) ).
cnf(s1388,plain,
( spl0_285
| spl0_286 ),
inference(sat_conversion,[],[f13639]) ).
cnf(s1389,plain,
( spl0_188
| spl0_282 ),
inference(sat_conversion,[],[f13646]) ).
cnf(s1392,plain,
( ~ spl0_87
| ~ spl0_212
| ~ spl0_219 ),
inference(sat_conversion,[],[f13667]) ).
cnf(s1395,plain,
( ~ spl0_196
| spl0_209
| spl0_230 ),
inference(sat_conversion,[],[f13674]) ).
cnf(s1401,plain,
( ~ spl0_112
| ~ spl0_197
| ~ spl0_275 ),
inference(sat_conversion,[],[f13692]) ).
cnf(s1402,plain,
( spl0_43
| spl0_285 ),
inference(sat_conversion,[],[f13700]) ).
cnf(s1403,plain,
( spl0_34
| spl0_43
| spl0_285 ),
inference(sat_conversion,[],[f13702]) ).
cnf(s1405,plain,
( ~ spl0_27
| ~ spl0_230
| ~ spl0_275 ),
inference(sat_conversion,[],[f13738]) ).
cnf(s1406,plain,
( ~ spl0_196
| ~ spl0_209 ),
inference(sat_conversion,[],[f13741]) ).
cnf(s1407,plain,
( spl0_48
| ~ spl0_50
| spl0_287 ),
inference(sat_conversion,[],[f13745]) ).
cnf(s1409,plain,
( spl0_288
| spl0_289 ),
inference(sat_conversion,[],[f13753]) ).
cnf(s1415,plain,
( ~ spl0_126
| ~ spl0_285
| ~ spl0_289 ),
inference(sat_conversion,[],[f13774]) ).
cnf(s1417,plain,
( ~ spl0_28
| ~ spl0_213
| ~ spl0_274 ),
inference(sat_conversion,[],[f13807]) ).
cnf(s1425,plain,
( ~ spl0_181
| ~ spl0_192
| spl0_223
| spl0_274 ),
inference(sat_conversion,[],[f13853]) ).
cnf(s1426,plain,
( ~ spl0_181
| ~ spl0_192
| spl0_201
| spl0_214 ),
inference(sat_conversion,[],[f13854]) ).
cnf(s1427,plain,
( ~ spl0_184
| spl0_188
| ~ spl0_215
| spl0_238 ),
inference(sat_conversion,[],[f13873]) ).
cnf(s1432,plain,
( ~ spl0_278
| ~ spl0_285
| ~ spl0_292 ),
inference(sat_conversion,[],[f13899]) ).
cnf(s1443,plain,
( ~ spl0_119
| ~ spl0_217
| spl0_274 ),
inference(sat_conversion,[],[f13989]) ).
cnf(s1444,plain,
( ~ spl0_24
| ~ spl0_219
| ~ spl0_276 ),
inference(sat_conversion,[],[f13990]) ).
cnf(s1447,plain,
( ~ spl0_222
| ~ spl0_290
| ~ spl0_292 ),
inference(sat_conversion,[],[f14020]) ).
cnf(s1463,plain,
( ~ spl0_229
| spl0_275
| spl0_299 ),
inference(sat_conversion,[],[f14227]) ).
cnf(s1464,plain,
( ~ spl0_229
| spl0_292
| spl0_300 ),
inference(sat_conversion,[],[f14232]) ).
cnf(s1465,plain,
( ~ spl0_198
| spl0_292
| spl0_301 ),
inference(sat_conversion,[],[f14254]) ).
cnf(s1466,plain,
( ~ spl0_198
| spl0_275
| spl0_302 ),
inference(sat_conversion,[],[f14259]) ).
cnf(s1467,plain,
( ~ spl0_201
| spl0_292
| spl0_303 ),
inference(sat_conversion,[],[f14282]) ).
cnf(s1468,plain,
( ~ spl0_201
| spl0_275
| spl0_304 ),
inference(sat_conversion,[],[f14286]) ).
cnf(s1472,plain,
( ~ spl0_181
| ~ spl0_216
| ~ spl0_218
| ~ spl0_304 ),
inference(sat_conversion,[],[f14363]) ).
cnf(s1473,plain,
( ~ spl0_181
| ~ spl0_190
| spl0_219
| spl0_223 ),
inference(sat_conversion,[],[f14364]) ).
cnf(s1475,plain,
( ~ spl0_181
| ~ spl0_190
| spl0_221
| spl0_229 ),
inference(sat_conversion,[],[f14368]) ).
cnf(s1476,plain,
( spl0_219
| spl0_305 ),
inference(sat_conversion,[],[f14369]) ).
cnf(s1478,plain,
( ~ spl0_160
| spl0_221
| ~ spl0_285
| ~ spl0_290 ),
inference(sat_conversion,[],[f14370]) ).
cnf(s1479,plain,
( spl0_234
| spl0_290 ),
inference(sat_conversion,[],[f14372]) ).
cnf(s1480,plain,
( ~ spl0_181
| spl0_290
| spl0_306 ),
inference(sat_conversion,[],[f14376]) ).
cnf(s1481,plain,
( ~ spl0_181
| spl0_199
| ~ spl0_224
| spl0_290 ),
inference(sat_conversion,[],[f14377]) ).
cnf(s1482,plain,
( spl0_234
| spl0_242
| spl0_290 ),
inference(sat_conversion,[],[f14378]) ).
cnf(s1483,plain,
( spl0_188
| ~ spl0_201
| spl0_307 ),
inference(sat_conversion,[],[f14382]) ).
cnf(s1485,plain,
( spl0_59
| ~ spl0_202
| spl0_212 ),
inference(sat_conversion,[],[f14413]) ).
cnf(s1490,plain,
( ~ spl0_181
| ~ spl0_218
| ~ spl0_305
| ~ spl0_307 ),
inference(sat_conversion,[],[f14492]) ).
cnf(s1491,plain,
( ~ spl0_184
| spl0_186
| ~ spl0_215
| spl0_239 ),
inference(sat_conversion,[],[f14494]) ).
cnf(s1493,plain,
( ~ spl0_67
| ~ spl0_70
| spl0_193
| ~ spl0_300 ),
inference(sat_conversion,[],[f14496]) ).
cnf(s1494,plain,
( ~ spl0_12
| ~ spl0_41
| spl0_186
| ~ spl0_303 ),
inference(sat_conversion,[],[f14497]) ).
cnf(s1496,plain,
( ~ spl0_8
| ~ spl0_188 ),
inference(sat_conversion,[],[f14507]) ).
cnf(s1497,plain,
( ~ spl0_8
| ~ spl0_219 ),
inference(sat_conversion,[],[f14509]) ).
cnf(s1499,plain,
( ~ spl0_4
| ~ spl0_36
| ~ spl0_285 ),
inference(sat_conversion,[],[f14524]) ).
cnf(s1519,plain,
( ~ spl0_276
| ~ spl0_285
| ~ spl0_290 ),
inference(sat_conversion,[],[f14697]) ).
cnf(s1520,plain,
( ~ spl0_181
| ~ spl0_215
| ~ spl0_234
| ~ spl0_300 ),
inference(sat_conversion,[],[f14698]) ).
cnf(s1532,plain,
( ~ spl0_28
| ~ spl0_208
| ~ spl0_275 ),
inference(sat_conversion,[],[f14786]) ).
cnf(s1542,plain,
( ~ spl0_24
| ~ spl0_188
| ~ spl0_278 ),
inference(sat_conversion,[],[f14964]) ).
cnf(s1550,plain,
( ~ spl0_181
| ~ spl0_183
| ~ spl0_201
| ~ spl0_203
| ~ spl0_218 ),
inference(sat_conversion,[],[f15103]) ).
cnf(s1554,plain,
( spl0_210
| spl0_309
| spl0_310 ),
inference(sat_conversion,[],[f15130]) ).
cnf(s1559,plain,
( ~ spl0_181
| spl0_225
| spl0_226
| ~ spl0_227 ),
inference(sat_conversion,[],[f15162]) ).
cnf(s1562,plain,
( spl0_188
| ~ spl0_229
| spl0_311 ),
inference(sat_conversion,[],[f15200]) ).
cnf(s1564,plain,
( ~ spl0_181
| ~ spl0_215
| ~ spl0_305
| ~ spl0_311 ),
inference(sat_conversion,[],[f15226]) ).
cnf(s1566,plain,
( ~ spl0_41
| ~ spl0_188
| ~ spl0_197
| ~ spl0_272 ),
inference(sat_conversion,[],[f15333]) ).
cnf(s1567,plain,
( ~ spl0_43
| ~ spl0_197
| ~ spl0_272
| ~ spl0_292 ),
inference(sat_conversion,[],[f15334]) ).
cnf(s1573,plain,
( ~ spl0_212
| ~ spl0_289
| ~ spl0_290 ),
inference(sat_conversion,[],[f15349]) ).
cnf(s1579,plain,
( ~ spl0_58
| ~ spl0_249
| ~ spl0_264 ),
inference(sat_conversion,[],[f15363]) ).
cnf(s1584,plain,
( ~ spl0_184
| ~ spl0_190
| ~ spl0_239
| spl0_241 ),
inference(sat_conversion,[],[f15394]) ).
cnf(s1585,plain,
( ~ spl0_200
| ~ spl0_241
| spl0_290 ),
inference(sat_conversion,[],[f15415]) ).
cnf(s1587,plain,
( ~ spl0_181
| ~ spl0_183
| spl0_191
| ~ spl0_220 ),
inference(sat_conversion,[],[f15440]) ).
cnf(s1590,plain,
( ~ spl0_50
| spl0_214
| ~ spl0_280
| spl0_314 ),
inference(sat_conversion,[],[f15569]) ).
cnf(s1594,plain,
( ~ spl0_136
| spl0_217
| spl0_225
| ~ spl0_251 ),
inference(sat_conversion,[],[f15632]) ).
cnf(s1597,plain,
( ~ spl0_184
| ~ spl0_215
| ~ spl0_317 ),
inference(sat_conversion,[],[f15676]) ).
cnf(s1603,plain,
( ~ spl0_181
| ~ spl0_215
| ~ spl0_216
| ~ spl0_299 ),
inference(sat_conversion,[],[f15683]) ).
cnf(s1619,plain,
( spl0_200
| spl0_292 ),
inference(sat_conversion,[],[f15709]) ).
cnf(s1631,plain,
( ~ spl0_183
| spl0_191
| ~ spl0_195
| ~ spl0_224 ),
inference(sat_conversion,[],[f15892]) ).
cnf(s1633,plain,
( spl0_66
| spl0_70
| ~ spl0_212
| ~ spl0_290 ),
inference(sat_conversion,[],[f15908]) ).
cnf(s1635,plain,
( spl0_70
| spl0_289 ),
inference(sat_conversion,[],[f15911]) ).
cnf(s1637,plain,
( spl0_66
| spl0_70
| spl0_289 ),
inference(sat_conversion,[],[f15914]) ).
cnf(s1641,plain,
( ~ spl0_181
| spl0_198
| ~ spl0_224
| spl0_228 ),
inference(sat_conversion,[],[f15921]) ).
cnf(s1650,plain,
( ~ spl0_67
| ~ spl0_183
| ~ spl0_317 ),
inference(sat_conversion,[],[f16020]) ).
cnf(s1651,plain,
( ~ spl0_9
| ~ spl0_186
| ~ spl0_196 ),
inference(sat_conversion,[],[f16022]) ).
cnf(s1652,plain,
( ~ spl0_12
| spl0_289
| ~ spl0_321 ),
inference(sat_conversion,[],[f16023]) ).
cnf(s1653,plain,
( ~ spl0_32
| spl0_112
| ~ spl0_321 ),
inference(sat_conversion,[],[f16024]) ).
cnf(s1661,plain,
( ~ spl0_27
| ~ spl0_58
| ~ spl0_112 ),
inference(sat_conversion,[],[f16064]) ).
cnf(s1679,plain,
( spl0_37
| ~ spl0_274
| spl0_276 ),
inference(sat_conversion,[],[f16217]) ).
cnf(s1681,plain,
( ~ spl0_71
| ~ spl0_183
| ~ spl0_199 ),
inference(sat_conversion,[],[f16278]) ).
cnf(s1685,plain,
( ~ spl0_136
| ~ spl0_203
| ~ spl0_314 ),
inference(sat_conversion,[],[f16350]) ).
cnf(s1686,plain,
( ~ spl0_181
| ~ spl0_192
| ~ spl0_314 ),
inference(sat_conversion,[],[f16351]) ).
cnf(s1689,plain,
( ~ spl0_183
| ~ spl0_203
| ~ spl0_241 ),
inference(sat_conversion,[],[f16432]) ).
cnf(s1698,plain,
( ~ spl0_188
| ~ spl0_219
| ~ spl0_222 ),
inference(sat_conversion,[],[f16596]) ).
cnf(s1700,plain,
( ~ spl0_222
| ~ spl0_274
| ~ spl0_275 ),
inference(sat_conversion,[],[f16600]) ).
cnf(s1701,plain,
( ~ spl0_181
| ~ spl0_216
| ~ spl0_233
| ~ spl0_302 ),
inference(sat_conversion,[],[f16601]) ).
cnf(s1732,plain,
~ spl0_34,
inference(sat_conversion,[],[f16750]) ).
cnf(s1737,plain,
( spl0_34
| spl0_184
| spl0_185 ),
inference(sat_conversion,[],[f16767]) ).
cnf(s1738,plain,
( spl0_34
| spl0_182
| spl0_183 ),
inference(sat_conversion,[],[f16768]) ).
cnf(s1745,plain,
( ~ spl0_4
| ~ spl0_213
| ~ spl0_290 ),
inference(sat_conversion,[],[f16820]) ).
cnf(s1750,plain,
( ~ spl0_1
| ~ spl0_219
| ~ spl0_243 ),
inference(sat_conversion,[],[f16868]) ).
cnf(s1752,plain,
( ~ spl0_43
| spl0_292
| ~ spl0_322 ),
inference(sat_conversion,[],[f16884]) ).
cnf(s1753,plain,
( ~ spl0_197
| ~ spl0_289
| ~ spl0_292 ),
inference(sat_conversion,[],[f16920]) ).
cnf(s1755,plain,
( ~ spl0_67
| ~ spl0_203
| ~ spl0_315 ),
inference(sat_conversion,[],[f16964]) ).
cnf(s1756,plain,
( ~ spl0_32
| spl0_274
| ~ spl0_315 ),
inference(sat_conversion,[],[f16965]) ).
cnf(s1757,plain,
( ~ spl0_184
| ~ spl0_218
| spl0_238
| spl0_275 ),
inference(sat_conversion,[],[f16987]) ).
cnf(s1758,plain,
( ~ spl0_184
| ~ spl0_218
| ~ spl0_322 ),
inference(sat_conversion,[],[f16988]) ).
cnf(s1759,plain,
( ~ spl0_184
| spl0_196
| ~ spl0_233
| spl0_280 ),
inference(sat_conversion,[],[f16990]) ).
cnf(s1766,plain,
( ~ spl0_181
| ~ spl0_233
| ~ spl0_234
| ~ spl0_301 ),
inference(sat_conversion,[],[f17090]) ).
cnf(s1770,plain,
( ~ spl0_184
| ~ spl0_224
| spl0_241
| ~ spl0_280 ),
inference(sat_conversion,[],[f17173]) ).
cnf(s1772,plain,
( ~ spl0_184
| ~ spl0_192
| spl0_241
| ~ spl0_251 ),
inference(sat_conversion,[],[f17200]) ).
cnf(s1788,plain,
( ~ spl0_86
| spl0_248
| ~ spl0_324 ),
inference(sat_conversion,[],[f17471]) ).
cnf(s1795,plain,
( ~ spl0_184
| ~ spl0_216
| spl0_314
| ~ spl0_326 ),
inference(sat_conversion,[],[f17636]) ).
cnf(s1796,plain,
( ~ spl0_126
| ~ spl0_187
| ~ spl0_193 ),
inference(sat_conversion,[],[f17639]) ).
cnf(s1804,plain,
( ~ spl0_71
| ~ spl0_183
| spl0_191
| ~ spl0_203
| ~ spl0_306 ),
inference(sat_conversion,[],[f17649]) ).
cnf(s1807,plain,
( ~ spl0_50
| ~ spl0_119
| spl0_272
| spl0_275
| ~ spl0_320 ),
inference(sat_conversion,[],[f17653]) ).
cnf(s1809,plain,
( ~ spl0_183
| ~ spl0_184
| spl0_189
| ~ spl0_203 ),
inference(sat_conversion,[],[f17655]) ).
cnf(s1812,plain,
( ~ spl0_36
| ~ spl0_214
| ~ spl0_238
| ~ spl0_282
| spl0_315 ),
inference(sat_conversion,[],[f17658]) ).
cnf(s1814,plain,
( spl0_74
| ~ spl0_160
| ~ spl0_187
| ~ spl0_193 ),
inference(sat_conversion,[],[f17661]) ).
cnf(s1822,plain,
( ~ spl0_181
| ~ spl0_190
| ~ spl0_315 ),
inference(sat_conversion,[],[f17757]) ).
cnf(s1824,plain,
( spl0_221
| ~ spl0_238
| ~ spl0_282
| spl0_315 ),
inference(sat_conversion,[],[f17759]) ).
cnf(s1829,plain,
( ~ spl0_194
| spl0_214
| ~ spl0_238
| spl0_314 ),
inference(sat_conversion,[],[f17764]) ).
cnf(s1830,plain,
( ~ spl0_184
| spl0_219
| ~ spl0_282
| spl0_327 ),
inference(sat_conversion,[],[f17768]) ).
cnf(s1834,plain,
( ~ spl0_87
| ~ spl0_188
| ~ spl0_197 ),
inference(sat_conversion,[],[f17795]) ).
cnf(s1841,plain,
( ~ spl0_41
| spl0_219
| ~ spl0_314 ),
inference(sat_conversion,[],[f17947]) ).
cnf(s1844,plain,
( ~ spl0_189
| ~ spl0_207
| ~ spl0_309
| spl0_324 ),
inference(sat_conversion,[],[f18084]) ).
cnf(s1845,plain,
( ~ spl0_184
| ~ spl0_189
| ~ spl0_203
| spl0_217 ),
inference(sat_conversion,[],[f18086]) ).
cnf(s1846,plain,
( ~ spl0_119
| ~ spl0_183
| spl0_272
| ~ spl0_326 ),
inference(sat_conversion,[],[f18087]) ).
cnf(s1849,plain,
( spl0_48
| ~ spl0_50
| spl0_292
| ~ spl0_326 ),
inference(sat_conversion,[],[f18091]) ).
cnf(s1860,plain,
( ~ spl0_181
| ~ spl0_183
| ~ spl0_203
| ~ spl0_226
| ~ spl0_236 ),
inference(sat_conversion,[],[f18254]) ).
cnf(s1864,plain,
( spl0_59
| ~ spl0_182
| spl0_197 ),
inference(sat_conversion,[],[f18313]) ).
cnf(s1869,plain,
( ~ spl0_181
| ~ spl0_224
| ~ spl0_235 ),
inference(sat_conversion,[],[f18367]) ).
cnf(s1875,plain,
( spl0_42
| ~ spl0_43
| spl0_329 ),
inference(sat_conversion,[],[f18377]) ).
cnf(s1883,plain,
( ~ spl0_6
| ~ spl0_12
| spl0_24
| spl0_27
| ~ spl0_109 ),
inference(sat_conversion,[],[f18562]) ).
cnf(s1886,plain,
( ~ spl0_32
| spl0_275
| ~ spl0_317 ),
inference(sat_conversion,[],[f18595]) ).
cnf(s1887,plain,
( ~ spl0_41
| spl0_275
| ~ spl0_327
| spl0_330 ),
inference(sat_conversion,[],[f18637]) ).
cnf(s1893,plain,
( ~ spl0_37
| ~ spl0_112 ),
inference(sat_conversion,[],[f18738]) ).
cnf(s1894,plain,
( ~ spl0_37
| ~ spl0_274 ),
inference(sat_conversion,[],[f18740]) ).
cnf(s1896,plain,
( ~ spl0_18
| spl0_24
| ~ spl0_214
| ~ spl0_228 ),
inference(sat_conversion,[],[f18743]) ).
cnf(s1902,plain,
( ~ spl0_59
| ~ spl0_182 ),
inference(sat_conversion,[],[f18752]) ).
cnf(s1905,plain,
( ~ spl0_54
| spl0_66
| spl0_74
| ~ spl0_128 ),
inference(sat_conversion,[],[f18769]) ).
cnf(s1908,plain,
( ~ spl0_18
| spl0_24
| ~ spl0_187
| ~ spl0_196 ),
inference(sat_conversion,[],[f18817]) ).
cnf(s1909,plain,
( ~ spl0_16
| spl0_24
| spl0_285 ),
inference(sat_conversion,[],[f18854]) ).
cnf(s1915,plain,
( spl0_37
| ~ spl0_275
| spl0_278 ),
inference(sat_conversion,[],[f18885]) ).
cnf(s1916,plain,
( ~ spl0_128
| ~ spl0_182
| ~ spl0_278 ),
inference(sat_conversion,[],[f18904]) ).
cnf(s1918,plain,
( ~ spl0_37
| ~ spl0_275 ),
inference(sat_conversion,[],[f18909]) ).
cnf(s1920,plain,
( ~ spl0_16
| ~ spl0_245
| spl0_248
| ~ spl0_292 ),
inference(sat_conversion,[],[f18913]) ).
cnf(s1932,plain,
( ~ spl0_6
| ~ spl0_12
| spl0_196
| ~ spl0_311 ),
inference(sat_conversion,[],[f19083]) ).
cnf(s1933,plain,
( ~ spl0_184
| ~ spl0_305
| spl0_315
| ~ spl0_327 ),
inference(sat_conversion,[],[f19121]) ).
cnf(s1934,plain,
( ~ spl0_86
| ~ spl0_183
| spl0_321
| ~ spl0_327 ),
inference(sat_conversion,[],[f19122]) ).
cnf(s1951,plain,
( ~ spl0_184
| ~ spl0_200
| spl0_290
| spl0_331 ),
inference(sat_conversion,[],[f19514]) ).
cnf(s1952,plain,
( ~ spl0_184
| ~ spl0_234
| spl0_235
| ~ spl0_331 ),
inference(sat_conversion,[],[f19536]) ).
cnf(s1954,plain,
( ~ spl0_190
| spl0_219
| ~ spl0_223
| spl0_317 ),
inference(sat_conversion,[],[f19538]) ).
cnf(s1955,plain,
( ~ spl0_4
| ~ spl0_100
| ~ spl0_289 ),
inference(sat_conversion,[],[f19539]) ).
cnf(s1958,plain,
( ~ spl0_119
| ~ spl0_183
| spl0_275
| spl0_326 ),
inference(sat_conversion,[],[f19542]) ).
cnf(s1959,plain,
( ~ spl0_86
| ~ spl0_217
| spl0_219 ),
inference(sat_conversion,[],[f19544]) ).
cnf(s1961,plain,
( ~ spl0_18
| spl0_24
| ~ spl0_97
| spl0_332 ),
inference(sat_conversion,[],[f19549]) ).
cnf(s1963,plain,
( ~ spl0_16
| spl0_219
| ~ spl0_276
| ~ spl0_285 ),
inference(sat_conversion,[],[f19551]) ).
cnf(s1964,plain,
( ~ spl0_136
| ~ spl0_189
| spl0_272
| spl0_275 ),
inference(sat_conversion,[],[f19552]) ).
cnf(s1968,plain,
( spl0_4
| ~ spl0_97
| spl0_285 ),
inference(sat_conversion,[],[f19567]) ).
cnf(s1969,plain,
( ~ spl0_9
| ~ spl0_74
| ~ spl0_77 ),
inference(sat_conversion,[],[f19583]) ).
cnf(s1970,plain,
( ~ spl0_192
| ~ spl0_223
| spl0_274
| spl0_322 ),
inference(sat_conversion,[],[f19584]) ).
cnf(s1978,plain,
( spl0_216
| spl0_240
| spl0_274 ),
inference(sat_conversion,[],[f19649]) ).
cnf(s1979,plain,
( spl0_210
| spl0_216
| spl0_274 ),
inference(sat_conversion,[],[f19650]) ).
cnf(s1984,plain,
( ~ spl0_59
| ~ spl0_202 ),
inference(sat_conversion,[],[f19687]) ).
cnf(s1985,plain,
( ~ spl0_70
| ~ spl0_183
| spl0_292
| spl0_331 ),
inference(sat_conversion,[],[f19688]) ).
cnf(s1987,plain,
( ~ spl0_183
| spl0_292
| spl0_320 ),
inference(sat_conversion,[],[f19690]) ).
cnf(s1991,plain,
( ~ spl0_4
| ~ spl0_208
| ~ spl0_292 ),
inference(sat_conversion,[],[f19711]) ).
cnf(s1992,plain,
( ~ spl0_128
| ~ spl0_202
| ~ spl0_276 ),
inference(sat_conversion,[],[f19731]) ).
cnf(s1995,plain,
( ~ spl0_187
| spl0_209
| spl0_278 ),
inference(sat_conversion,[],[f19738]) ).
cnf(s2011,plain,
( ~ spl0_1
| ~ spl0_188
| ~ spl0_230 ),
inference(sat_conversion,[],[f19845]) ).
cnf(s2012,plain,
( ~ spl0_71
| ~ spl0_183
| spl0_195
| spl0_196 ),
inference(sat_conversion,[],[f19846]) ).
cnf(s2013,plain,
( ~ spl0_86
| ~ spl0_183
| spl0_188
| spl0_327 ),
inference(sat_conversion,[],[f19847]) ).
cnf(s2018,plain,
( ~ spl0_221
| ~ spl0_232 ),
inference(sat_conversion,[],[f19882]) ).
cnf(s2026,plain,
( ~ spl0_185
| spl0_222
| spl0_232 ),
inference(sat_conversion,[],[f19984]) ).
cnf(s2044,plain,
( ~ spl0_41
| spl0_188
| ~ spl0_322 ),
inference(sat_conversion,[],[f20255]) ).
cnf(s2045,plain,
( ~ spl0_16
| spl0_87
| ~ spl0_126
| ~ spl0_285 ),
inference(sat_conversion,[],[f20256]) ).
cnf(s2046,plain,
( ~ spl0_18
| ~ spl0_77
| ~ spl0_202
| spl0_219 ),
inference(sat_conversion,[],[f20257]) ).
cnf(s2047,plain,
( ~ spl0_16
| ~ spl0_212
| spl0_219
| ~ spl0_289 ),
inference(sat_conversion,[],[f20259]) ).
cnf(s2048,plain,
( ~ spl0_18
| spl0_24
| ~ spl0_77
| ~ spl0_128 ),
inference(sat_conversion,[],[f20260]) ).
cnf(s2052,plain,
( ~ spl0_18
| ~ spl0_77
| spl0_248
| ~ spl0_310 ),
inference(sat_conversion,[],[f20284]) ).
cnf(s2054,plain,
( ~ spl0_185
| ~ spl0_232 ),
inference(sat_conversion,[],[f20296]) ).
cnf(s2055,plain,
( ~ spl0_136
| ~ spl0_183
| ~ spl0_322 ),
inference(sat_conversion,[],[f20297]) ).
cnf(s2061,plain,
( ~ spl0_187
| ~ spl0_209 ),
inference(sat_conversion,[],[f20358]) ).
cnf(s2073,plain,
( ~ spl0_126
| ~ spl0_214
| ~ spl0_225 ),
inference(sat_conversion,[],[f20470]) ).
cnf(s2076,plain,
( ~ spl0_32
| spl0_188
| ~ spl0_326
| spl0_330 ),
inference(sat_conversion,[],[f20594]) ).
cnf(s2077,plain,
( ~ spl0_12
| spl0_285
| ~ spl0_330 ),
inference(sat_conversion,[],[f20608]) ).
cnf(s2082,plain,
( ~ spl0_181
| spl0_191
| ~ spl0_224
| ~ spl0_227
| ~ spl0_291 ),
inference(sat_conversion,[],[f20796]) ).
cnf(s2084,plain,
( ~ spl0_181
| spl0_274
| spl0_335 ),
inference(sat_conversion,[],[f20891]) ).
cnf(s2085,plain,
( ~ spl0_43
| spl0_48
| ~ spl0_200
| spl0_290
| ~ spl0_335 ),
inference(sat_conversion,[],[f20926]) ).
cnf(s2086,plain,
( ~ spl0_9
| ~ spl0_77
| spl0_129
| ~ spl0_332 ),
inference(sat_conversion,[],[f20954]) ).
cnf(s2091,plain,
( spl0_101
| ~ spl0_321 ),
inference(sat_conversion,[],[f20987]) ).
cnf(s2098,plain,
( ~ spl0_40
| ~ spl0_206
| spl0_248
| ~ spl0_278 ),
inference(sat_conversion,[],[f21086]) ).
cnf(s2101,plain,
( ~ spl0_185
| ~ spl0_208
| ~ spl0_278
| ~ spl0_308 ),
inference(sat_conversion,[],[f21129]) ).
cnf(s2126,plain,
( ~ spl0_110
| ~ spl0_112
| ~ spl0_185
| ~ spl0_208
| ~ spl0_212 ),
inference(sat_conversion,[],[f21463]) ).
cnf(s2127,plain,
( ~ spl0_110
| ~ spl0_185
| ~ spl0_208
| ~ spl0_222
| ~ spl0_275 ),
inference(sat_conversion,[],[f21465]) ).
cnf(s2130,plain,
( spl0_37
| ~ spl0_121
| spl0_340 ),
inference(sat_conversion,[],[f21645]) ).
cnf(s2135,plain,
( spl0_37
| ~ spl0_287
| spl0_341 ),
inference(sat_conversion,[],[f21704]) ).
cnf(s2136,plain,
( ~ spl0_222
| ~ spl0_275
| ~ spl0_287
| spl0_290 ),
inference(sat_conversion,[],[f21709]) ).
cnf(s2139,plain,
( ~ spl0_112
| ~ spl0_212
| ~ spl0_287
| spl0_290 ),
inference(sat_conversion,[],[f21712]) ).
cnf(s2144,plain,
( ~ spl0_48
| ~ spl0_185
| spl0_210
| spl0_228
| ~ spl0_278 ),
inference(sat_conversion,[],[f21769]) ).
cnf(s2146,plain,
( ~ spl0_181
| spl0_199
| ~ spl0_200
| spl0_290 ),
inference(sat_conversion,[],[f21771]) ).
cnf(s2158,plain,
( ~ spl0_181
| spl0_214
| ~ spl0_286
| spl0_344 ),
inference(sat_conversion,[],[f21790]) ).
cnf(s2166,plain,
( ~ spl0_181
| spl0_219
| spl0_347 ),
inference(sat_conversion,[],[f21808]) ).
cnf(s2169,plain,
( ~ spl0_181
| spl0_219
| ~ spl0_282
| spl0_317 ),
inference(sat_conversion,[],[f21814]) ).
cnf(s2187,plain,
( ~ spl0_193
| spl0_197
| spl0_209 ),
inference(sat_conversion,[],[f21938]) ).
cnf(s2190,plain,
( ~ spl0_187
| ~ spl0_193
| spl0_289
| ~ spl0_341 ),
inference(sat_conversion,[],[f22156]) ).
cnf(s2193,plain,
( ~ spl0_41
| ~ spl0_143
| ~ spl0_202
| ~ spl0_213
| spl0_321 ),
inference(sat_conversion,[],[f22225]) ).
cnf(s2198,plain,
( ~ spl0_9
| ~ spl0_228
| spl0_240
| ~ spl0_332 ),
inference(sat_conversion,[],[f22498]) ).
cnf(s2200,plain,
( spl0_102
| ~ spl0_139 ),
inference(sat_conversion,[],[f22508]) ).
cnf(s2201,plain,
( spl0_128
| ~ spl0_202
| ~ spl0_213
| ~ spl0_308 ),
inference(sat_conversion,[],[f22523]) ).
cnf(s2202,plain,
( ~ spl0_9
| ~ spl0_38
| spl0_83
| ~ spl0_308 ),
inference(sat_conversion,[],[f22525]) ).
cnf(s2203,plain,
( ~ spl0_9
| ~ spl0_18
| spl0_24
| spl0_83
| ~ spl0_308 ),
inference(sat_conversion,[],[f22527]) ).
cnf(s2206,plain,
( spl0_24
| ~ spl0_109
| spl0_129
| ~ spl0_188
| ~ spl0_197
| ~ spl0_202
| ~ spl0_213
| ~ spl0_275 ),
inference(sat_conversion,[],[f22574]) ).
cnf(s2208,plain,
( ~ spl0_184
| spl0_193
| ~ spl0_236
| spl0_237 ),
inference(sat_conversion,[],[f22576]) ).
cnf(s2210,plain,
( spl0_24
| spl0_74
| ~ spl0_109
| spl0_129
| ~ spl0_188
| ~ spl0_197
| ~ spl0_275 ),
inference(sat_conversion,[],[f22579]) ).
cnf(s2219,plain,
( ~ spl0_110
| ~ spl0_182
| ~ spl0_197
| ~ spl0_208
| ~ spl0_275 ),
inference(sat_conversion,[],[f22617]) ).
cnf(s2222,plain,
( ~ spl0_181
| ~ spl0_194
| spl0_274
| spl0_322 ),
inference(sat_conversion,[],[f22620]) ).
cnf(s2223,plain,
( ~ spl0_32
| ~ spl0_194
| spl0_274
| spl0_330
| ~ spl0_347 ),
inference(sat_conversion,[],[f22622]) ).
cnf(s2224,plain,
( ~ spl0_184
| ~ spl0_194
| spl0_274
| spl0_326 ),
inference(sat_conversion,[],[f22623]) ).
cnf(s2226,plain,
( ~ spl0_184
| ~ spl0_218
| spl0_238
| spl0_275 ),
inference(sat_conversion,[],[f22628]) ).
cnf(s2229,plain,
( ~ spl0_43
| spl0_48
| spl0_275
| ~ spl0_331 ),
inference(sat_conversion,[],[f22632]) ).
cnf(s2230,plain,
( ~ spl0_9
| ~ spl0_110
| ~ spl0_182
| ~ spl0_208
| ~ spl0_212
| ~ spl0_228 ),
inference(sat_conversion,[],[f22636]) ).
cnf(s2241,plain,
( ~ spl0_184
| spl0_187
| ~ spl0_218
| spl0_251 ),
inference(sat_conversion,[],[f22796]) ).
cnf(s2242,plain,
( ~ spl0_43
| ~ spl0_50
| spl0_196
| ~ spl0_304 ),
inference(sat_conversion,[],[f22877]) ).
cnf(s2247,plain,
( spl0_24
| ~ spl0_109
| spl0_129
| ~ spl0_182
| ~ spl0_188
| ~ spl0_197
| ~ spl0_208
| ~ spl0_212
| ~ spl0_274 ),
inference(sat_conversion,[],[f23098]) ).
cnf(s2249,plain,
( ~ spl0_212
| ~ spl0_274
| ~ spl0_287
| spl0_289 ),
inference(sat_conversion,[],[f23136]) ).
cnf(s2250,plain,
( ~ spl0_28
| ~ spl0_208
| ~ spl0_287
| spl0_292 ),
inference(sat_conversion,[],[f23139]) ).
cnf(s2251,plain,
( ~ spl0_200
| spl0_228
| spl0_235
| ~ spl0_238 ),
inference(sat_conversion,[],[f23140]) ).
cnf(s2254,plain,
( ~ spl0_184
| spl0_196
| ~ spl0_233
| spl0_280 ),
inference(sat_conversion,[],[f23146]) ).
cnf(s2256,plain,
( ~ spl0_12
| spl0_17
| ~ spl0_200
| spl0_290
| ~ spl0_347 ),
inference(sat_conversion,[],[f23148]) ).
cnf(s2257,plain,
( ~ spl0_184
| spl0_193
| ~ spl0_288
| spl0_357 ),
inference(sat_conversion,[],[f23152]) ).
cnf(s2258,plain,
( ~ spl0_184
| ~ spl0_233
| spl0_235
| spl0_292 ),
inference(sat_conversion,[],[f23153]) ).
cnf(s2260,plain,
( ~ spl0_184
| ~ spl0_200
| spl0_290
| spl0_331 ),
inference(sat_conversion,[],[f23155]) ).
cnf(s2268,plain,
( spl0_8
| spl0_213
| ~ spl0_219 ),
inference(sat_conversion,[],[f23194]) ).
cnf(s2273,plain,
( ~ spl0_12
| spl0_290
| ~ spl0_315 ),
inference(sat_conversion,[],[f23257]) ).
cnf(s2275,plain,
( ~ spl0_16
| ~ spl0_188
| ~ spl0_197
| spl0_289 ),
inference(sat_conversion,[],[f23316]) ).
cnf(s2280,plain,
( ~ spl0_16
| spl0_87
| spl0_289 ),
inference(sat_conversion,[],[f23321]) ).
cnf(s2281,plain,
( ~ spl0_25
| ~ spl0_184
| ~ spl0_192
| spl0_214
| ~ spl0_215
| spl0_241 ),
inference(sat_conversion,[],[f23322]) ).
cnf(s2282,plain,
( ~ spl0_184
| spl0_188
| ~ spl0_215
| spl0_238 ),
inference(sat_conversion,[],[f23323]) ).
cnf(s2288,plain,
( ~ spl0_30
| ~ spl0_181
| spl0_187
| ~ spl0_190
| ~ spl0_215
| spl0_241 ),
inference(sat_conversion,[],[f23329]) ).
cnf(s2293,plain,
( ~ spl0_25
| ~ spl0_181
| spl0_187
| ~ spl0_190
| ~ spl0_218
| spl0_241 ),
inference(sat_conversion,[],[f23334]) ).
cnf(s2294,plain,
( ~ spl0_184
| spl0_186
| ~ spl0_215
| spl0_239 ),
inference(sat_conversion,[],[f23335]) ).
cnf(s2298,plain,
( spl0_200
| spl0_210
| spl0_292 ),
inference(sat_conversion,[],[f23355]) ).
cnf(s2314,plain,
( ~ spl0_184
| ~ spl0_227
| ~ spl0_237
| spl0_241 ),
inference(sat_conversion,[],[f23686]) ).
cnf(s2324,plain,
( ~ spl0_9
| ~ spl0_27
| ~ spl0_110
| ~ spl0_196
| ~ spl0_230 ),
inference(sat_conversion,[],[f23928]) ).
cnf(s2329,plain,
( ~ spl0_9
| spl0_24
| ~ spl0_27
| ~ spl0_109
| spl0_188
| ~ spl0_196
| spl0_211
| ~ spl0_230 ),
inference(sat_conversion,[],[f24080]) ).
cnf(s2337,plain,
( ~ spl0_50
| ~ spl0_119
| ~ spl0_194
| spl0_214
| ~ spl0_357 ),
inference(sat_conversion,[],[f24088]) ).
cnf(s2344,plain,
( spl0_194
| spl0_211
| spl0_275 ),
inference(sat_conversion,[],[f24126]) ).
cnf(s2347,plain,
( ~ spl0_24
| ~ spl0_248
| spl0_264
| ~ spl0_340 ),
inference(sat_conversion,[],[f24202]) ).
cnf(s2348,plain,
( ~ spl0_24
| ~ spl0_219
| spl0_228
| ~ spl0_340 ),
inference(sat_conversion,[],[f24204]) ).
cnf(s2351,plain,
( ~ spl0_24
| ~ spl0_219
| spl0_290
| ~ spl0_341 ),
inference(sat_conversion,[],[f24235]) ).
cnf(s2353,plain,
( ~ spl0_197
| ~ spl0_275
| ~ spl0_287
| spl0_289 ),
inference(sat_conversion,[],[f24311]) ).
cnf(s2355,plain,
( ~ spl0_28
| ~ spl0_213
| ~ spl0_287
| spl0_290 ),
inference(sat_conversion,[],[f24314]) ).
cnf(s2356,plain,
( spl0_34
| spl0_180
| spl0_181 ),
inference(sat_conversion,[],[f24315]) ).
cnf(s2364,plain,
( ~ spl0_180
| spl0_209
| spl0_222 ),
inference(sat_conversion,[],[f24424]) ).
cnf(s2367,plain,
( ~ spl0_206
| spl0_245
| spl0_267 ),
inference(sat_conversion,[],[f24439]) ).
cnf(s2371,plain,
( ~ spl0_70
| spl0_139
| ~ spl0_203
| spl0_290 ),
inference(sat_conversion,[],[f24658]) ).
cnf(s2372,plain,
( ~ spl0_9
| ~ spl0_36
| ~ spl0_48
| spl0_130 ),
inference(sat_conversion,[],[f24680]) ).
cnf(s2373,plain,
( ~ spl0_48
| spl0_66
| spl0_187
| spl0_196 ),
inference(sat_conversion,[],[f24682]) ).
cnf(s2376,plain,
( ~ spl0_25
| ~ spl0_67
| spl0_128
| ~ spl0_203
| spl0_217
| ~ spl0_218 ),
inference(sat_conversion,[],[f24712]) ).
cnf(s2377,plain,
( ~ spl0_128
| ~ spl0_182
| spl0_292
| ~ spl0_341 ),
inference(sat_conversion,[],[f24713]) ).
cnf(s2386,plain,
( ~ spl0_9
| spl0_24
| ~ spl0_27
| ~ spl0_58
| ~ spl0_77
| spl0_87
| ~ spl0_109
| spl0_129 ),
inference(sat_conversion,[],[f24913]) ).
cnf(s2389,plain,
( ~ spl0_9
| ~ spl0_41
| ~ spl0_77
| ~ spl0_143
| spl0_321 ),
inference(sat_conversion,[],[f24974]) ).
cnf(s2394,plain,
( spl0_37
| ~ spl0_110
| spl0_160 ),
inference(sat_conversion,[],[f25095]) ).
cnf(s2395,plain,
( ~ spl0_203
| spl0_274
| spl0_363 ),
inference(sat_conversion,[],[f25099]) ).
cnf(s2398,plain,
( ~ spl0_119
| ~ spl0_203
| spl0_272
| spl0_274 ),
inference(sat_conversion,[],[f25103]) ).
cnf(s2408,plain,
( ~ spl0_180
| ~ spl0_187
| spl0_228
| ~ spl0_340 ),
inference(sat_conversion,[],[f25325]) ).
cnf(s2413,plain,
( ~ spl0_70
| spl0_139
| ~ spl0_183
| ~ spl0_331 ),
inference(sat_conversion,[],[f25406]) ).
cnf(s2415,plain,
( ~ spl0_71
| ~ spl0_136
| ~ spl0_203
| ~ spl0_227
| ~ spl0_344 ),
inference(sat_conversion,[],[f25409]) ).
cnf(s2419,plain,
( ~ spl0_70
| ~ spl0_217
| spl0_290 ),
inference(sat_conversion,[],[f25414]) ).
cnf(s2421,plain,
( ~ spl0_71
| spl0_139
| ~ spl0_203
| spl0_290 ),
inference(sat_conversion,[],[f25416]) ).
cnf(s2424,plain,
( ~ spl0_28
| spl0_36
| spl0_37 ),
inference(sat_conversion,[],[f25427]) ).
cnf(s2425,plain,
( ~ spl0_83
| ~ spl0_196 ),
inference(sat_conversion,[],[f25451]) ).
cnf(s2427,plain,
( ~ spl0_196
| spl0_209
| spl0_230 ),
inference(sat_conversion,[],[f25456]) ).
cnf(s2434,plain,
( ~ spl0_101
| ~ spl0_185
| ~ spl0_197
| spl0_221
| spl0_244 ),
inference(sat_conversion,[],[f25649]) ).
cnf(s2449,plain,
~ spl0_244,
inference(sat_conversion,[],[f25824]) ).
cnf(s2459,plain,
( spl0_187
| spl0_292
| ~ spl0_329 ),
inference(sat_conversion,[],[f26014]) ).
cnf(s2460,plain,
( ~ spl0_9
| ~ spl0_33
| ~ spl0_36
| spl0_46 ),
inference(sat_conversion,[],[f26042]) ).
cnf(s2462,plain,
( ~ spl0_33
| spl0_340 ),
inference(sat_conversion,[],[f26088]) ).
cnf(s2465,plain,
( ~ spl0_33
| ~ spl0_185
| spl0_228
| spl0_276 ),
inference(sat_conversion,[],[f26091]) ).
cnf(s2471,plain,
( ~ spl0_102
| ~ spl0_185
| ~ spl0_197
| spl0_228
| spl0_242
| spl0_244 ),
inference(sat_conversion,[],[f26203]) ).
cnf(s2475,plain,
( ~ spl0_50
| spl0_128
| ~ spl0_195
| spl0_272 ),
inference(sat_conversion,[],[f26208]) ).
cnf(s2476,plain,
( ~ spl0_180
| ~ spl0_209 ),
inference(sat_conversion,[],[f26224]) ).
cnf(s2478,plain,
( ~ spl0_102
| ~ spl0_209
| spl0_210
| spl0_231 ),
inference(sat_conversion,[],[f26229]) ).
cnf(s2479,plain,
( ~ spl0_12
| spl0_17
| spl0_24
| ~ spl0_42 ),
inference(sat_conversion,[],[f26230]) ).
cnf(s2481,plain,
( ~ spl0_185
| spl0_222
| spl0_232 ),
inference(sat_conversion,[],[f26340]) ).
cnf(s2482,plain,
( ~ spl0_37
| spl0_78
| ~ spl0_110 ),
inference(sat_conversion,[],[f26342]) ).
cnf(s2484,plain,
( ~ spl0_9
| ~ spl0_77
| ~ spl0_78 ),
inference(sat_conversion,[],[f26350]) ).
cnf(s2485,plain,
( ~ spl0_43
| spl0_290
| ~ spl0_314 ),
inference(sat_conversion,[],[f26377]) ).
cnf(s2493,plain,
( ~ spl0_37
| spl0_66
| ~ spl0_109
| ~ spl0_180
| ~ spl0_213
| spl0_285
| spl0_292 ),
inference(sat_conversion,[],[f26646]) ).
cnf(s2505,plain,
( ~ spl0_27
| spl0_37
| spl0_38 ),
inference(sat_conversion,[],[f26668]) ).
cnf(s2507,plain,
( spl0_59
| ~ spl0_74
| spl0_100 ),
inference(sat_conversion,[],[f26688]) ).
cnf(s2508,plain,
( spl0_8
| ~ spl0_87
| spl0_100 ),
inference(sat_conversion,[],[f26693]) ).
cnf(s2510,plain,
( ~ spl0_228
| spl0_232
| spl0_243 ),
inference(sat_conversion,[],[f26719]) ).
cnf(s2511,plain,
( spl0_37
| ~ spl0_275
| spl0_278 ),
inference(sat_conversion,[],[f26722]) ).
cnf(s2515,plain,
( ~ spl0_71
| ~ spl0_183
| spl0_195
| spl0_196 ),
inference(sat_conversion,[],[f26776]) ).
cnf(s2518,plain,
( ~ spl0_24
| spl0_77
| ~ spl0_87
| ~ spl0_340 ),
inference(sat_conversion,[],[f26881]) ).
cnf(s2522,plain,
( ~ spl0_102
| ~ spl0_180
| spl0_196
| spl0_210
| ~ spl0_212
| spl0_231 ),
inference(sat_conversion,[],[f27077]) ).
cnf(s2540,plain,
~ spl0_231,
inference(sat_conversion,[],[f27287]) ).
cnf(s2543,plain,
( ~ spl0_136
| ~ spl0_183
| spl0_189
| spl0_275 ),
inference(sat_conversion,[],[f27290]) ).
cnf(s2544,plain,
( ~ spl0_119
| ~ spl0_191
| spl0_275 ),
inference(sat_conversion,[],[f27291]) ).
cnf(s2545,plain,
( ~ spl0_71
| spl0_139
| ~ spl0_183
| spl0_292 ),
inference(sat_conversion,[],[f27292]) ).
cnf(s2548,plain,
( spl0_37
| ~ spl0_112
| spl0_126 ),
inference(sat_conversion,[],[f27309]) ).
cnf(s2550,plain,
( spl0_308
| ~ spl0_330 ),
inference(sat_conversion,[],[f27333]) ).
cnf(s2551,plain,
( ~ spl0_214
| spl0_232
| spl0_276 ),
inference(sat_conversion,[],[f27340]) ).
cnf(s2553,plain,
( ~ spl0_160
| spl0_186
| ~ spl0_285
| ~ spl0_292 ),
inference(sat_conversion,[],[f27389]) ).
cnf(s2556,plain,
( ~ spl0_180
| ~ spl0_187
| ~ spl0_276 ),
inference(sat_conversion,[],[f27393]) ).
cnf(s2558,plain,
( ~ spl0_143
| ~ spl0_183
| spl0_191
| ~ spl0_192 ),
inference(sat_conversion,[],[f27397]) ).
cnf(s2560,plain,
( spl0_66
| ~ spl0_272
| spl0_285
| spl0_289 ),
inference(sat_conversion,[],[f27399]) ).
cnf(s2561,plain,
( ~ spl0_5
| spl0_27
| ~ spl0_41
| spl0_308 ),
inference(sat_conversion,[],[f27400]) ).
cnf(s2567,plain,
( ~ spl0_67
| spl0_147
| ~ spl0_183
| spl0_186 ),
inference(sat_conversion,[],[f27407]) ).
cnf(s2568,plain,
( ~ spl0_136
| spl0_143
| ~ spl0_183
| spl0_187 ),
inference(sat_conversion,[],[f27408]) ).
cnf(s2569,plain,
( ~ spl0_67
| ~ spl0_183
| spl0_188
| spl0_189 ),
inference(sat_conversion,[],[f27409]) ).
cnf(s2571,plain,
( ~ spl0_25
| ~ spl0_67
| spl0_128
| ~ spl0_183
| spl0_191
| ~ spl0_192 ),
inference(sat_conversion,[],[f27410]) ).
cnf(s2572,plain,
( spl0_24
| spl0_87
| ~ spl0_272 ),
inference(sat_conversion,[],[f27411]) ).
cnf(s2573,plain,
( ~ spl0_5
| ~ spl0_67
| ~ spl0_183
| spl0_196
| ~ spl0_282 ),
inference(sat_conversion,[],[f27412]) ).
cnf(s2575,plain,
( spl0_58
| spl0_59
| ~ spl0_77 ),
inference(sat_conversion,[],[f27436]) ).
cnf(s2577,plain,
( ~ spl0_186
| spl0_208
| spl0_209 ),
inference(sat_conversion,[],[f27450]) ).
cnf(s2578,plain,
( spl0_59
| spl0_126
| ~ spl0_128 ),
inference(sat_conversion,[],[f27462]) ).
cnf(s2581,plain,
( ~ spl0_128
| ~ spl0_202
| spl0_290
| ~ spl0_341 ),
inference(sat_conversion,[],[f27583]) ).
cnf(s2582,plain,
( ~ spl0_185
| ~ spl0_214
| spl0_292
| ~ spl0_341 ),
inference(sat_conversion,[],[f27585]) ).
cnf(s2583,plain,
( ~ spl0_185
| ~ spl0_214
| ~ spl0_278 ),
inference(sat_conversion,[],[f27586]) ).
cnf(s2585,plain,
( ~ spl0_180
| ~ spl0_187
| spl0_290
| ~ spl0_341 ),
inference(sat_conversion,[],[f27588]) ).
cnf(s2586,plain,
( ~ spl0_6
| spl0_28
| ~ spl0_51
| spl0_330 ),
inference(sat_conversion,[],[f27589]) ).
cnf(s2587,plain,
( spl0_15
| spl0_38
| ~ spl0_285 ),
inference(sat_conversion,[],[f27592]) ).
cnf(s2591,plain,
( spl0_15
| spl0_243
| ~ spl0_290 ),
inference(sat_conversion,[],[f27659]) ).
cnf(s2592,plain,
( ~ spl0_136
| ~ spl0_203
| spl0_220
| spl0_274 ),
inference(sat_conversion,[],[f27742]) ).
cnf(s2595,plain,
( ~ spl0_1
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f27849]) ).
cnf(s2598,plain,
( spl0_15
| spl0_230
| ~ spl0_292 ),
inference(sat_conversion,[],[f27884]) ).
cnf(s2599,plain,
( spl0_59
| ~ spl0_202
| spl0_212 ),
inference(sat_conversion,[],[f27907]) ).
cnf(s2600,plain,
( spl0_212
| ~ spl0_225
| spl0_232 ),
inference(sat_conversion,[],[f27914]) ).
cnf(s2605,plain,
( ~ spl0_97
| ~ spl0_100
| spl0_214
| ~ spl0_225
| spl0_240 ),
inference(sat_conversion,[],[f28187]) ).
cnf(s2608,plain,
( ~ spl0_101
| ~ spl0_180
| spl0_186
| ~ spl0_212
| spl0_231 ),
inference(sat_conversion,[],[f28205]) ).
cnf(s2609,plain,
( ~ spl0_67
| spl0_188
| ~ spl0_189
| spl0_321 ),
inference(sat_conversion,[],[f28206]) ).
cnf(s2610,plain,
( ~ spl0_41
| spl0_74
| ~ spl0_143
| spl0_321 ),
inference(sat_conversion,[],[f28207]) ).
cnf(s2611,plain,
( spl0_186
| spl0_187
| ~ spl0_308 ),
inference(sat_conversion,[],[f28226]) ).
cnf(s2617,plain,
( spl0_24
| ~ spl0_27
| ~ spl0_109
| spl0_186
| spl0_188
| spl0_211
| ~ spl0_230 ),
inference(sat_conversion,[],[f28273]) ).
cnf(s2620,plain,
( spl0_24
| ~ spl0_109
| ~ spl0_112
| ~ spl0_212
| spl0_219
| spl0_221
| spl0_240 ),
inference(sat_conversion,[],[f28279]) ).
cnf(s2622,plain,
( spl0_24
| ~ spl0_109
| spl0_219
| spl0_221
| ~ spl0_222
| spl0_240
| ~ spl0_275 ),
inference(sat_conversion,[],[f28282]) ).
cnf(s2623,plain,
( spl0_24
| ~ spl0_27
| ~ spl0_109
| spl0_219
| spl0_221
| spl0_240
| ~ spl0_243 ),
inference(sat_conversion,[],[f28283]) ).
cnf(s2624,plain,
( ~ spl0_12
| spl0_77
| spl0_139
| ~ spl0_147 ),
inference(sat_conversion,[],[f28284]) ).
cnf(s2625,plain,
( ~ spl0_136
| ~ spl0_189
| spl0_272
| spl0_275 ),
inference(sat_conversion,[],[f28285]) ).
cnf(s2627,plain,
( ~ spl0_77
| ~ spl0_202
| ~ spl0_243 ),
inference(sat_conversion,[],[f28286]) ).
cnf(s2629,plain,
( ~ spl0_128
| ~ spl0_160
| ~ spl0_202
| spl0_221 ),
inference(sat_conversion,[],[f28314]) ).
cnf(s2630,plain,
( ~ spl0_86
| spl0_188
| ~ spl0_191 ),
inference(sat_conversion,[],[f28315]) ).
cnf(s2631,plain,
( ~ spl0_70
| ~ spl0_191
| spl0_292 ),
inference(sat_conversion,[],[f28316]) ).
cnf(s2633,plain,
( spl0_15
| spl0_58
| ~ spl0_289 ),
inference(sat_conversion,[],[f28324]) ).
cnf(s2634,plain,
( spl0_8
| ~ spl0_188
| spl0_208 ),
inference(sat_conversion,[],[f28333]) ).
cnf(s2635,plain,
( ~ spl0_187
| spl0_209
| spl0_278 ),
inference(sat_conversion,[],[f28338]) ).
cnf(s2641,plain,
( ~ spl0_12
| spl0_33
| ~ spl0_50
| ~ spl0_109 ),
inference(sat_conversion,[],[f28548]) ).
cnf(s2642,plain,
( ~ spl0_41
| ~ spl0_86
| spl0_219
| spl0_330
| ~ spl0_363 ),
inference(sat_conversion,[],[f28573]) ).
cnf(s2643,plain,
( ~ spl0_195
| ~ spl0_203
| spl0_217
| ~ spl0_233 ),
inference(sat_conversion,[],[f28574]) ).
cnf(s2644,plain,
( ~ spl0_71
| spl0_139
| ~ spl0_203
| spl0_290 ),
inference(sat_conversion,[],[f28575]) ).
cnf(s2645,plain,
( ~ spl0_43
| spl0_48
| ~ spl0_70
| spl0_290
| ~ spl0_363 ),
inference(sat_conversion,[],[f28576]) ).
cnf(s2646,plain,
( ~ spl0_67
| ~ spl0_203
| spl0_219
| spl0_220 ),
inference(sat_conversion,[],[f28577]) ).
cnf(s2647,plain,
( ~ spl0_67
| spl0_147
| ~ spl0_203
| spl0_221 ),
inference(sat_conversion,[],[f28578]) ).
cnf(s2648,plain,
( ~ spl0_203
| spl0_290
| spl0_291 ),
inference(sat_conversion,[],[f28579]) ).
cnf(s2650,plain,
( spl0_59
| ~ spl0_182
| spl0_197 ),
inference(sat_conversion,[],[f28630]) ).
cnf(s2652,plain,
( ~ spl0_67
| spl0_219
| ~ spl0_220
| spl0_321 ),
inference(sat_conversion,[],[f28744]) ).
cnf(s2653,plain,
( ~ spl0_6
| spl0_74
| ~ spl0_195
| spl0_321 ),
inference(sat_conversion,[],[f28746]) ).
cnf(s2654,plain,
( ~ spl0_136
| ~ spl0_220
| spl0_272
| spl0_274 ),
inference(sat_conversion,[],[f28747]) ).
cnf(s2655,plain,
( ~ spl0_136
| spl0_143
| ~ spl0_203
| spl0_214 ),
inference(sat_conversion,[],[f28748]) ).
cnf(s2658,plain,
( spl0_213
| ~ spl0_221
| spl0_232 ),
inference(sat_conversion,[],[f28772]) ).
cnf(s2659,plain,
( spl0_15
| ~ spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f28815]) ).
cnf(s2660,plain,
( ~ spl0_16
| spl0_188
| spl0_292 ),
inference(sat_conversion,[],[f28816]) ).
cnf(s2665,plain,
( ~ spl0_40
| spl0_214
| spl0_219 ),
inference(sat_conversion,[],[f28983]) ).
cnf(s2666,plain,
( ~ spl0_40
| spl0_187
| spl0_188 ),
inference(sat_conversion,[],[f28984]) ).
cnf(s2671,plain,
( ~ spl0_71
| spl0_195
| ~ spl0_203
| spl0_228 ),
inference(sat_conversion,[],[f29051]) ).
cnf(s2672,plain,
( ~ spl0_43
| spl0_77
| spl0_139
| ~ spl0_143 ),
inference(sat_conversion,[],[f29052]) ).
cnf(s2674,plain,
( spl0_37
| ~ spl0_274
| spl0_276 ),
inference(sat_conversion,[],[f29076]) ).
cnf(s2676,plain,
( ~ spl0_110
| spl0_186
| spl0_275 ),
inference(sat_conversion,[],[f29185]) ).
cnf(s2679,plain,
( spl0_24
| ~ spl0_109
| spl0_186
| spl0_188
| spl0_211
| spl0_275 ),
inference(sat_conversion,[],[f29288]) ).
cnf(s2681,plain,
( ~ spl0_102
| ~ spl0_180
| spl0_196
| spl0_210
| ~ spl0_212 ),
inference(rat,[],[s2522,s2540]) ).
cnf(s2682,plain,
( ~ spl0_102
| ~ spl0_209
| spl0_210 ),
inference(rat,[],[s2478,s2540]) ).
cnf(s2683,plain,
( ~ spl0_101
| ~ spl0_185
| ~ spl0_197
| spl0_221 ),
inference(rat,[],[s2434,s2449]) ).
cnf(s2688,plain,
( spl0_43
| spl0_285 ),
inference(rat,[],[s1403,s1732]) ).
cnf(s2689,plain,
( ~ spl0_74
| ~ spl0_130 ),
inference(rat,[],[s1356,s1732]) ).
cnf(s2690,plain,
( ~ spl0_93
| ~ spl0_126
| ~ spl0_225
| spl0_228 ),
inference(rat,[],[s1259,s1304,s1273]) ).
cnf(s2691,plain,
( ~ spl0_59
| spl0_66
| ~ spl0_93 ),
inference(rat,[],[s1197,s1215]) ).
cnf(s2694,plain,
( spl0_196
| spl0_224 ),
inference(rat,[],[s1075,s1193]) ).
cnf(s2719,plain,
( spl0_249
| spl0_255 ),
inference(rat,[],[s913,s1273]) ).
cnf(s2722,plain,
( ~ spl0_15
| spl0_261 ),
inference(rat,[],[s909,s971]) ).
cnf(s2727,plain,
( ~ spl0_15
| spl0_234 ),
inference(rat,[],[s861,s1304]) ).
cnf(s2728,plain,
( ~ spl0_17
| ~ spl0_232 ),
inference(rat,[],[s857,s1304]) ).
cnf(s2729,plain,
( spl0_228
| spl0_233 ),
inference(rat,[],[s851,s1304]) ).
cnf(s2730,plain,
( spl0_214
| spl0_218 ),
inference(rat,[],[s848,s1273]) ).
cnf(s2732,plain,
( spl0_193
| spl0_227 ),
inference(rat,[],[s816,s1732]) ).
cnf(s2735,plain,
( ~ spl0_17
| spl0_186
| spl0_196 ),
inference(rat,[],[s808,s1193]) ).
cnf(s2736,plain,
( spl0_187
| spl0_192 ),
inference(rat,[],[s782,s802]) ).
cnf(s2740,plain,
( spl0_128
| spl0_136 ),
inference(rat,[],[s744,s1732]) ).
cnf(s2741,plain,
( spl0_128
| spl0_136 ),
inference(rat,[],[s742,s1215]) ).
cnf(s2746,plain,
( ~ spl0_17
| spl0_74
| spl0_77 ),
inference(rat,[],[s690,s727]) ).
cnf(s2747,plain,
( spl0_184
| spl0_185 ),
inference(rat,[],[s674,s1732]) ).
cnf(s2748,plain,
( spl0_182
| spl0_183 ),
inference(rat,[],[s673,s1732]) ).
cnf(s2749,plain,
( spl0_180
| spl0_181 ),
inference(rat,[],[s672,s1732]) ).
cnf(s2773,plain,
( spl0_112
| spl0_119 ),
inference(rat,[],[s371,s1215]) ).
cnf(s2794,plain,
( ~ spl0_5
| spl0_24
| spl0_27
| spl0_97 ),
inference(rat,[],[s278,s1732]) ).
cnf(s2809,plain,
( ~ spl0_17
| ~ spl0_37 ),
inference(rat,[],[s226,s1732]) ).
cnf(s2865,plain,
( ~ spl0_15
| spl0_70 ),
inference(rat,[],[s119,s727]) ).
cnf(s2869,plain,
( spl0_27
| spl0_50 ),
inference(rat,[],[s78,s1732]) ).
cnf(s2871,plain,
( ~ spl0_9
| ~ spl0_17
| ~ spl0_27
| spl0_54 ),
inference(rat,[],[s75,s1732]) ).
cnf(s2877,plain,
( ~ spl0_15
| spl0_43 ),
inference(rat,[],[s46,s1732]) ).
cnf(s2883,plain,
( spl0_209
| spl0_208
| ~ spl0_110
| ~ spl0_27
| ~ spl0_17
| ~ spl0_9 ),
inference(rat,[],[s2324,s2427,s2735,s2577]) ).
cnf(s2884,plain,
( ~ spl0_209
| ~ spl0_17 ),
inference(rat,[],[s2735,s739,s1406]) ).
cnf(s2885,plain,
( ~ spl0_208
| spl0_139
| ~ spl0_74
| ~ spl0_71
| ~ spl0_4 ),
inference(rat,[],[s1738,s2545,s1237,s1991,s1732]) ).
cnf(s2886,plain,
( spl0_208
| ~ spl0_32
| ~ spl0_27
| spl0_24
| ~ spl0_17
| spl0_8
| ~ spl0_9 ),
inference(rat,[],[s2427,s2617,s2735,s297,s2577,s2883,s2634,s2884,s802]) ).
cnf(s2887,plain,
( ~ spl0_196
| ~ spl0_110
| ~ spl0_27
| spl0_209
| ~ spl0_9 ),
inference(rat,[],[s2324,s2427]) ).
cnf(s2888,plain,
( spl0_196
| ~ spl0_183
| ~ spl0_71
| spl0_191 ),
inference(rat,[],[s1631,s2515,s1081]) ).
cnf(s2890,plain,
( ~ spl0_180
| ~ spl0_188
| ~ spl0_196
| spl0_209
| ~ spl0_18 ),
inference(rat,[],[s1698,s765,s2364]) ).
cnf(s2891,plain,
( spl0_77
| spl0_191
| ~ spl0_32
| ~ spl0_27
| spl0_24
| ~ spl0_17
| spl0_8
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s2623,s2268,s2658,s2591,s1745,s2146,s2356,s2890,s2679,s297,s1405,s2887,s1651,s2427,s2888,s1681,s1738,s1237,s2746,s1044,s2728,s2884,s1619,s1991,s2886,s12,s15,s1273,s1732,s802]) ).
cnf(s2892,plain,
( spl0_58
| ~ spl0_32
| ~ spl0_27
| spl0_24
| ~ spl0_17
| spl0_8
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s2575,s1031,s2891,s2631,s1635,s2633,s1991,s2886,s12,s15]) ).
cnf(s2893,plain,
( spl0_77
| ~ spl0_32
| ~ spl0_27
| spl0_24
| ~ spl0_17
| spl0_8
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s1637,s1955,s2631,s241,s252,s2891,s2746,s1991,s2886,s12,s15,s727]) ).
cnf(s2895,plain,
( ~ spl0_180
| ~ spl0_102
| spl0_196
| ~ spl0_187
| ~ spl0_136
| spl0_143
| spl0_59
| spl0_232 ),
inference(rat,[],[s733,s2655,s2599,s2551,s2681,s2556,s727,s1193]) ).
cnf(s2896,plain,
( ~ spl0_290
| ~ spl0_109
| ~ spl0_27
| spl0_24
| spl0_232
| spl0_8
| ~ spl0_4 ),
inference(rat,[],[s2623,s2268,s2658,s2591,s1745,s15,s1273]) ).
cnf(s2897,plain,
( ~ spl0_109
| ~ spl0_186
| ~ spl0_183
| spl0_143
| ~ spl0_77
| ~ spl0_58
| spl0_292
| ~ spl0_27
| spl0_24
| spl0_232
| spl0_8
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s1392,s2046,s2599,s733,s2648,s2896,s2082,s2356,s2895,s2200,s2413,s1985,s2631,s2732,s1635,s1381,s1955,s2508,s2386,s12,s15,s1031,s1081,s1908,s2568,s2740,s2048,s727,s1732,s1215]) ).
cnf(s2898,plain,
( ~ spl0_290
| ~ spl0_160
| ~ spl0_285
| spl0_232
| ~ spl0_4 ),
inference(rat,[],[s2658,s1478,s1745]) ).
cnf(s2899,plain,
( ~ spl0_70
| spl0_290
| ~ spl0_227
| spl0_196
| ~ spl0_183
| ~ spl0_136
| spl0_143
| ~ spl0_77
| spl0_292
| spl0_232
| ~ spl0_18
| ~ spl0_6 ),
inference(rat,[],[s1392,s2046,s2599,s733,s2648,s2082,s2356,s2895,s1218,s2200,s2413,s1985,s2631,s1031,s2568,s1081,s727,s1732]) ).
cnf(s2900,plain,
( spl0_228
| ~ spl0_181
| ~ spl0_234
| ~ spl0_224
| spl0_292 ),
inference(rat,[],[s1465,s1766,s1641,s852]) ).
cnf(s2901,plain,
( ~ spl0_228
| spl0_147
| ~ spl0_77
| spl0_232
| ~ spl0_9 ),
inference(rat,[],[s733,s2647,s2627,s1386,s2510,s130,s1969,s727]) ).
cnf(s2902,plain,
( ~ spl0_183
| ~ spl0_285
| ~ spl0_32
| ~ spl0_27
| spl0_24
| ~ spl0_17
| spl0_8
| ~ spl0_18
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1257,s2356,s2658,s2900,s863,s2901,s1028,s2572,s2508,s1955,s1637,s2899,s1479,s2898,s2732,s1814,s2394,s297,s2897,s2735,s1081,s1908,s2568,s2728,s2809,s1991,s2886,s1969,s2389,s12,s15,s52,s1653,s1661,s2892,s2740,s2048,s2893,s1732,s727]) ).
cnf(s2903,plain,
( ~ spl0_285
| ~ spl0_32
| ~ spl0_27
| spl0_24
| ~ spl0_17
| spl0_8
| ~ spl0_18
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2356,s2900,s1257,s1479,s2658,s2898,s863,s2394,s2901,s297,s2735,s1081,s1028,s2386,s2427,s1566,s1834,s1244,s687,s1864,s1738,s2902,s2728,s2809,s2884,s52,s1991,s2886,s12,s15,s2892,s1031,s2048,s2893,s1732,s1215]) ).
cnf(s2905,plain,
( ~ spl0_196
| spl0_143
| ~ spl0_77
| spl0_24
| spl0_209
| ~ spl0_18 ),
inference(rat,[],[s1738,s2568,s1244,s1908,s2427,s2740,s2048,s1732]) ).
cnf(s2906,plain,
( spl0_213
| ~ spl0_67
| ~ spl0_77
| spl0_321
| spl0_8
| ~ spl0_18 ),
inference(rat,[],[s733,s2646,s2652,s759,s2268,s727]) ).
cnf(s2907,plain,
( ~ spl0_32
| ~ spl0_27
| spl0_24
| ~ spl0_17
| spl0_8
| ~ spl0_18
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2510,s1338,s2900,s2084,s2356,s2085,s1479,s1257,s1745,s2906,s2735,s1081,s2905,s2688,s2903,s130,s2389,s1969,s2893,s1653,s1661,s2892,s1619,s1991,s2886,s12,s15,s2728,s2884,s1317,s52,s1732]) ).
cnf(s2908,plain,
( ~ spl0_243
| spl0_322
| ~ spl0_194
| ~ spl0_196
| ~ spl0_27 ),
inference(rat,[],[s2356,s2222,s1332,s1338,s1732]) ).
cnf(s2909,plain,
( ~ spl0_213
| spl0_272
| ~ spl0_136
| ~ spl0_74
| ~ spl0_28 ),
inference(rat,[],[s733,s2592,s2654,s1239,s1417,s727]) ).
cnf(s2910,plain,
( ~ spl0_196
| ~ spl0_218
| spl0_274
| spl0_219
| ~ spl0_27
| spl0_24
| spl0_209
| ~ spl0_18
| ~ spl0_9 ),
inference(rat,[],[s1349,s2293,s1046,s2356,s747,s1405,s765,s1908,s1651,s2427,s27,s1732]) ).
cnf(s2911,plain,
( ~ spl0_74
| ~ spl0_28
| ~ spl0_27
| spl0_48
| spl0_24
| ~ spl0_17
| spl0_8
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s1738,s1985,s2229,s1237,s1991,s1532,s738,s2735,s2910,s2730,s1338,s1896,s2510,s863,s2268,s2658,s2909,s2560,s1635,s1955,s2740,s241,s252,s1245,s12,s15,s2728,s2884,s2688,s1499,s37,s2809,s1732,s727]) ).
cnf(s2912,plain,
( ~ spl0_196
| spl0_128
| ~ spl0_67
| ~ spl0_77
| ~ spl0_27
| spl0_24
| spl0_209
| ~ spl0_18 ),
inference(rat,[],[s2571,s1738,s2544,s784,s1244,s1405,s1908,s2427,s27,s2773,s1661,s2575,s1031,s1732,s727]) ).
cnf(s2913,plain,
( ~ spl0_290
| spl0_272
| ~ spl0_136
| ~ spl0_77
| ~ spl0_27
| spl0_8
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s2592,s2654,s733,s1338,s759,s2591,s1745,s15,s727]) ).
cnf(s2914,plain,
( spl0_24
| ~ spl0_17
| spl0_8
| ~ spl0_7
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2646,s733,s2652,s2091,s1348,s1698,s2683,s1375,s2026,s1737,s2260,s2913,s1566,s687,s1864,s1738,s2571,s1619,s2544,s2229,s784,s1991,s1532,s746,s738,s2735,s2912,s2773,s1661,s2575,s2740,s1031,s1905,s130,s2746,s2911,s2688,s1499,s37,s53,s2907,s2871,s269,s27,s52,s1317,s12,s15,s22,s2728,s2809,s2884,s727,s1732]) ).
cnf(s2916,plain,
( spl0_292
| spl0_290
| ~ spl0_197
| ~ spl0_182
| spl0_331
| ~ spl0_194
| ~ spl0_196
| ~ spl0_70
| ~ spl0_27
| ~ spl0_43
| spl0_232 ),
inference(rat,[],[s2371,s733,s2200,s1348,s2471,s2026,s2510,s1737,s2908,s2260,s1752,s1619,s727,s1304,s2449,s1732]) ).
cnf(s2917,plain,
( spl0_219
| ~ spl0_282
| spl0_317
| ~ spl0_196
| ~ spl0_18 ),
inference(rat,[],[s2356,s2169,s765,s1732]) ).
cnf(s2918,plain,
( ~ spl0_219
| spl0_272
| ~ spl0_74
| ~ spl0_24
| spl0_37
| spl0_8 ),
inference(rat,[],[s2592,s2654,s733,s2674,s1239,s1444,s2268,s2740,s1245,s36,s727]) ).
cnf(s2919,plain,
( ~ spl0_196
| ~ spl0_32
| spl0_219
| ~ spl0_27
| spl0_209
| ~ spl0_18
| ~ spl0_9 ),
inference(rat,[],[s1954,s1473,s1886,s2356,s747,s1405,s765,s1651,s2427,s1732]) ).
cnf(s2920,plain,
( spl0_196
| spl0_77
| ~ spl0_17
| ~ spl0_4 ),
inference(rat,[],[s2888,s1738,s2631,s1237,s1991,s738,s2735,s2884,s1044,s1635,s1955,s241,s252,s2746,s1732]) ).
cnf(s2921,plain,
( spl0_77
| ~ spl0_27
| ~ spl0_24
| ~ spl0_17
| spl0_8
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s1562,s1834,s1564,s1864,s1475,s844,s1738,s2658,s2543,s2909,s2625,s53,s2356,s747,s1405,s2919,s765,s1651,s2427,s2920,s1476,s2918,s2560,s1955,s2740,s237,s241,s252,s1245,s2746,s12,s15,s22,s2728,s2809,s2884,s1499,s36,s1732,s727]) ).
cnf(s2922,plain,
( ~ spl0_196
| ~ spl0_32
| spl0_128
| ~ spl0_77
| ~ spl0_27
| spl0_209
| ~ spl0_9 ),
inference(rat,[],[s683,s1738,s1046,s297,s747,s1244,s1405,s2887,s1651,s2427,s1732]) ).
cnf(s2923,plain,
( ~ spl0_32
| ~ spl0_77
| ~ spl0_27
| ~ spl0_36
| ~ spl0_17
| spl0_8
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s1338,s2084,s2510,s2085,s2900,s1619,s2356,s2372,s1991,s1257,s1118,s738,s2735,s1081,s2922,s1479,s1745,s2906,s1653,s2728,s2884,s2688,s1499,s1247,s2505,s2809,s130,s1969,s12,s15,s1661,s2575,s1031,s1732,s727]) ).
cnf(s2924,plain,
( ~ spl0_196
| ~ spl0_77
| ~ spl0_27
| spl0_209
| ~ spl0_9 ),
inference(rat,[],[s1030,s2567,s1738,s2544,s747,s1244,s1405,s1651,s2427,s130,s1969,s2773,s1661,s2575,s1031,s1732]) ).
cnf(s2925,plain,
( ~ spl0_183
| spl0_191
| spl0_187
| ~ spl0_136 ),
inference(rat,[],[s2558,s2568,s784,s727]) ).
cnf(s2926,plain,
( spl0_213
| ~ spl0_86
| ~ spl0_77
| ~ spl0_17
| spl0_8
| ~ spl0_18
| ~ spl0_9 ),
inference(rat,[],[s1029,s2901,s733,s1959,s863,s844,s759,s2268,s2658,s2728,s727]) ).
cnf(s2927,plain,
( ~ spl0_27
| ~ spl0_24
| ~ spl0_17
| spl0_8
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s2356,s2222,s1257,s1417,s2926,s331,s1834,s687,s1864,s1738,s2925,s2544,s1046,s1752,s1532,s1991,s746,s738,s2735,s2924,s53,s2923,s2773,s1661,s2740,s2575,s1247,s1031,s2921,s2505,s12,s15,s22,s2809,s2884,s2688,s1499,s36,s1732]) ).
cnf(s2928,plain,
( spl0_77
| ~ spl0_196
| ~ spl0_50
| ~ spl0_28
| ~ spl0_24
| ~ spl0_17
| spl0_8
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s1562,s1564,s1475,s844,s2356,s2634,s2658,s765,s1476,s2885,s2909,s2918,s1042,s2560,s333,s1955,s2740,s241,s252,s1245,s2746,s1044,s2728,s2809,s1499,s36,s747,s1651,s12,s15,s1732,s727]) ).
cnf(s2929,plain,
( spl0_219
| spl0_317
| ~ spl0_190
| ~ spl0_196
| ~ spl0_18 ),
inference(rat,[],[s1473,s2356,s1954,s765,s1732]) ).
cnf(s2930,plain,
( ~ spl0_196
| ~ spl0_50
| ~ spl0_28
| ~ spl0_24
| ~ spl0_17
| spl0_8
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s1009,s868,s1737,s823,s830,s863,s1357,s2372,s1407,s2355,s1745,s2268,s2929,s1030,s2567,s1650,s1738,s130,s2575,s1244,s1969,s1031,s2928,s747,s1651,s2427,s12,s15,s2884,s36,s727,s1732,s1193]) ).
cnf(s2931,plain,
( ~ spl0_17
| spl0_8
| ~ spl0_7
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1407,s2250,s2372,s1991,s1118,s738,s2735,s2930,s2869,s282,s2927,s36,s2914,s2884,s12,s15,s22,s727]) ).
cnf(s2932,plain,
( ~ spl0_196
| ~ spl0_30
| ~ spl0_32
| spl0_24
| ~ spl0_27
| spl0_8
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s835,s1737,s852,s1375,s1896,s844,s2730,s2288,s2293,s1585,s2146,s1619,s2356,s1991,s2890,s2634,s1745,s2329,s2268,s297,s747,s2919,s2887,s1908,s1651,s1395,s1406,s12,s15,s27,s1732,s802]) ).
cnf(s2933,plain,
( ~ spl0_292
| spl0_186
| ~ spl0_285
| spl0_24
| ~ spl0_27
| spl0_8
| ~ spl0_4 ),
inference(rat,[],[s297,s2617,s2394,s2634,s2553,s2598,s1991,s15,s53,s2424,s1499,s40,s802]) ).
cnf(s2934,plain,
( ~ spl0_183
| spl0_292
| ~ spl0_71
| spl0_196
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1955,s2508,s1637,s1218,s2631,s2545,s2888,s727]) ).
cnf(s2935,plain,
( spl0_219
| ~ spl0_119
| spl0_272
| ~ spl0_289
| spl0_59
| ~ spl0_285
| spl0_37
| ~ spl0_16 ),
inference(rat,[],[s2398,s733,s2599,s2047,s2674,s1963,s727]) ).
cnf(s2936,plain,
( ~ spl0_181
| ~ spl0_234
| spl0_292
| ~ spl0_190
| ~ spl0_224
| ~ spl0_9 ),
inference(rat,[],[s1520,s1464,s844,s1342,s1386,s2900]) ).
cnf(s2937,plain,
( spl0_186
| ~ spl0_71
| spl0_196
| spl0_24
| ~ spl0_27
| ~ spl0_16
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2364,s2476,s2356,s2936,s1479,s1745,s2268,s1698,s2935,s2773,s1661,s2633,s1566,s2275,s1864,s1902,s1738,s2934,s2660,s2933,s747,s12,s15,s40,s1909,s52,s1081,s1732]) ).
cnf(s2938,plain,
( ~ spl0_71
| spl0_196
| spl0_24
| ~ spl0_27
| ~ spl0_16
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2260,s1952,s1737,s2481,s855,s2900,s1869,s2356,s1479,s1257,s1745,s1698,s2268,s2935,s2773,s1661,s2633,s1566,s2275,s1864,s1902,s1738,s2934,s2660,s1619,s1991,s738,s739,s2937,s15,s40,s1909,s52,s1081,s1732]) ).
cnf(s2939,plain,
( spl0_219
| spl0_321
| ~ spl0_67
| ~ spl0_77
| ~ spl0_18 ),
inference(rat,[],[s2646,s733,s2652,s2046,s727]) ).
cnf(s2940,plain,
( spl0_186
| ~ spl0_219
| ~ spl0_234
| ~ spl0_224
| spl0_24
| ~ spl0_27
| ~ spl0_16
| spl0_8
| ~ spl0_4 ),
inference(rat,[],[s2364,s2476,s1698,s2356,s2660,s2936,s2933,s747,s12,s15,s1909,s1732]) ).
cnf(s2941,plain,
( spl0_24
| ~ spl0_27
| ~ spl0_16
| spl0_8
| ~ spl0_18
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s733,s2655,s2627,s1896,s854,s855,s2900,s2356,s1991,s1257,s738,s739,s2940,s2939,s1479,s1745,s2610,s2906,s1653,s1661,s2740,s130,s2575,s2048,s1969,s1031,s1055,s2938,s1081,s2932,s30,s53,s2424,s1499,s52,s1909,s12,s15,s40,s727,s1732]) ).
cnf(s2942,plain,
( spl0_292
| spl0_274
| ~ spl0_194
| ~ spl0_196
| ~ spl0_43
| ~ spl0_16
| ~ spl0_18 ),
inference(rat,[],[s2356,s2222,s2890,s1752,s2660,s1406,s1732]) ).
cnf(s2943,plain,
( ~ spl0_181
| spl0_214
| ~ spl0_216
| ~ spl0_192
| spl0_275 ),
inference(rat,[],[s1468,s1426,s1472,s2730]) ).
cnf(s2944,plain,
( ~ spl0_183
| spl0_326
| ~ spl0_109
| ~ spl0_190
| spl0_275
| ~ spl0_24
| ~ spl0_27
| ~ spl0_16
| spl0_15 ),
inference(rat,[],[s2633,s2280,s1661,s1255,s2773,s2578,s379,s1958,s683,s1046]) ).
cnf(s2945,plain,
( ~ spl0_32
| ~ spl0_196
| ~ spl0_24
| ~ spl0_27
| ~ spl0_16
| spl0_8
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s2644,s2200,s733,s2471,s1348,s1864,s1902,s1738,s2944,s2481,s828,s2054,s1737,s2224,s2076,s2634,s1991,s2942,s2674,s1745,s1444,s2268,s297,s2919,s2688,s1499,s36,s2887,s747,s1651,s1044,s2924,s2550,s2202,s2425,s12,s15,s38,s40,s1046,s1405,s1395,s1406,s727,s1304,s2449,s1732]) ).
cnf(s2946,plain,
( spl0_292
| ~ spl0_71
| ~ spl0_196
| ~ spl0_43
| ~ spl0_24
| ~ spl0_27
| ~ spl0_16
| ~ spl0_18
| spl0_15
| ~ spl0_6 ),
inference(rat,[],[s733,s2644,s2599,s1218,s2047,s1834,s2275,s1864,s1902,s1738,s1681,s2146,s1444,s2591,s2356,s1679,s2908,s2890,s2942,s1752,s2660,s1619,s40,s1046,s1405,s1395,s1406,s727,s1732]) ).
cnf(s2947,plain,
( ~ spl0_183
| ~ spl0_317
| spl0_275
| ~ spl0_36
| ~ spl0_4 ),
inference(rat,[],[s2625,s2560,s2543,s1955,s2740,s241,s252,s1245,s130,s1650,s1499,s727]) ).
cnf(s2948,plain,
( ~ spl0_214
| ~ spl0_181
| ~ spl0_305
| spl0_188
| ~ spl0_190
| ~ spl0_36 ),
inference(rat,[],[s1562,s1564,s826,s841]) ).
cnf(s2949,plain,
( spl0_219
| spl0_188
| ~ spl0_192
| ~ spl0_190
| ~ spl0_196
| ~ spl0_36
| ~ spl0_18 ),
inference(rat,[],[s1483,s1490,s1426,s2730,s2948,s2356,s765,s1476,s1732]) ).
cnf(s2950,plain,
( ~ spl0_181
| ~ spl0_216
| ~ spl0_192
| ~ spl0_190
| spl0_275
| ~ spl0_36 ),
inference(rat,[],[s1463,s1603,s826,s841,s2943]) ).
cnf(s2951,plain,
( spl0_289
| spl0_59
| ~ spl0_219
| ~ spl0_28
| spl0_285
| ~ spl0_16
| spl0_8 ),
inference(rat,[],[s2398,s733,s2773,s2599,s333,s1392,s2508,s2560,s2280,s1417,s2268,s727]) ).
cnf(s2952,plain,
( spl0_59
| ~ spl0_183
| ~ spl0_219
| spl0_188
| ~ spl0_28
| spl0_186
| spl0_285
| ~ spl0_16
| spl0_8
| ~ spl0_4 ),
inference(rat,[],[s1030,s2630,s2567,s331,s130,s2508,s2507,s1955,s2951,s747]) ).
cnf(s2953,plain,
( ~ spl0_183
| ~ spl0_219
| spl0_188
| ~ spl0_28
| ~ spl0_71
| spl0_275
| spl0_186
| spl0_285
| ~ spl0_16
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1955,s2508,s2560,s1218,s2625,s2543,s2644,s2740,s733,s379,s1984,s2952,s1745,s2268,s727]) ).
cnf(s2954,plain,
( ~ spl0_196
| ~ spl0_27
| ~ spl0_16
| spl0_8
| ~ spl0_18
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1753,s2951,s1864,s1902,s1738,s2953,s2949,s2634,s1991,s2946,s53,s2945,s784,s1044,s747,s1405,s1223,s2924,s1651,s1395,s1406,s12,s15,s38,s40,s2688,s1499,s36,s2941,s1732,s727]) ).
cnf(s2957,plain,
( ~ spl0_183
| spl0_187
| spl0_275
| spl0_292
| spl0_196
| ~ spl0_27
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2544,s2773,s2925,s1661,s2740,s2575,s1247,s1031,s1055,s2934,s38,s40,s727]) ).
cnf(s2958,plain,
( spl0_221
| ~ spl0_203
| spl0_217
| ~ spl0_67 ),
inference(rat,[],[s1029,s2647,s844]) ).
cnf(s2959,plain,
( ~ spl0_221
| ~ spl0_208
| spl0_292
| spl0_235
| ~ spl0_9 ),
inference(rat,[],[s2258,s1737,s852,s1375,s1386,s1732]) ).
cnf(s2960,plain,
( ~ spl0_182
| spl0_221
| ~ spl0_208
| ~ spl0_188
| spl0_219
| ~ spl0_16 ),
inference(rat,[],[s2958,s733,s1959,s2599,s331,s2047,s130,s1834,s2275,s1237,s1864,s1902,s727]) ).
cnf(s2961,plain,
( spl0_292
| spl0_219
| spl0_196
| ~ spl0_24
| ~ spl0_27
| ~ spl0_16
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1995,s2061,s2957,s1738,s2960,s2959,s2511,s1542,s2634,s2660,s12,s15,s40,s1219,s1732]) ).
cnf(s2962,plain,
( ~ spl0_128
| spl0_59
| ~ spl0_183
| spl0_188
| spl0_196
| ~ spl0_24
| ~ spl0_38 ),
inference(rat,[],[s2630,s331,s2888,s1255,s1044,s2578,s1247]) ).
cnf(s2963,plain,
( spl0_59
| ~ spl0_183
| spl0_186
| spl0_275
| spl0_188
| spl0_196
| ~ spl0_24
| ~ spl0_38
| spl0_8
| ~ spl0_4 ),
inference(rat,[],[s1030,s2630,s2567,s331,s130,s2508,s2507,s1955,s2560,s2625,s2543,s2740,s2962,s1499,s36,s747,s727]) ).
cnf(s2964,plain,
( ~ spl0_183
| spl0_209
| spl0_186
| spl0_275
| ~ spl0_292
| spl0_219
| spl0_196
| ~ spl0_24
| ~ spl0_38
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1955,s2508,s2560,s1218,s2625,s2543,s2644,s2740,s1044,s733,s379,s1031,s1984,s2963,s1447,s2364,s2356,s2169,s2947,s1499,s36,s1389,s2634,s1991,s727,s1732]) ).
cnf(s2965,plain,
( ~ spl0_221
| spl0_213 ),
inference(rat,[],[s2658,s2018]) ).
cnf(s2966,plain,
( spl0_228
| ~ spl0_203
| spl0_217
| ~ spl0_71 ),
inference(rat,[],[s2643,s2671,s852]) ).
cnf(s2967,plain,
( ~ spl0_222
| spl0_48
| ~ spl0_71
| ~ spl0_182
| ~ spl0_292
| ~ spl0_43
| ~ spl0_27 ),
inference(rat,[],[s854,s855,s2966,s1338,s2395,s733,s2645,s2419,s1348,s1447,s1635,s1753,s1864,s1902,s727]) ).
cnf(s2968,plain,
( ~ spl0_181
| ~ spl0_190
| spl0_199
| spl0_188
| ~ spl0_305
| ~ spl0_224
| ~ spl0_4 ),
inference(rat,[],[s1562,s1564,s1475,s844,s2965,s1745,s1481]) ).
cnf(s2969,plain,
( spl0_186
| ~ spl0_292
| spl0_219
| spl0_196
| ~ spl0_24
| ~ spl0_27
| spl0_8
| ~ spl0_18
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1343,s1995,s508,s2373,s2967,s1044,s687,s1738,s2964,s2364,s2476,s2356,s2968,s747,s38,s40,s2688,s1499,s36,s1081,s1476,s1405,s2598,s15,s1316,s2634,s1991,s727,s1215,s1732]) ).
cnf(s2970,plain,
( spl0_219
| ~ spl0_27
| ~ spl0_16
| spl0_8
| ~ spl0_18
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s738,s739,s2969,s1991,s2961,s2941,s2954]) ).
cnf(s2971,plain,
( spl0_292
| ~ spl0_219
| ~ spl0_43
| ~ spl0_24
| spl0_37
| ~ spl0_16 ),
inference(rat,[],[s2364,s2476,s2356,s2222,s1046,s2511,s1698,s1542,s1752,s2660,s2674,s1444,s1732]) ).
cnf(s2972,plain,
( ~ spl0_183
| spl0_275
| spl0_188
| ~ spl0_219
| spl0_196
| ~ spl0_24
| ~ spl0_38
| ~ spl0_16
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s53,s297,s2953,s683,s1044,s379,s1031,s2963,s1499,s36,s1046,s747,s2676,s1257,s2356,s1481,s1316,s1745,s1081,s2268,s1732]) ).
cnf(s2973,plain,
( ~ spl0_27
| ~ spl0_16
| spl0_8
| ~ spl0_18
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2548,s2773,s1255,s2398,s2280,s733,s1567,s1753,s1348,s1864,s1902,s1738,s2972,s2364,s2476,s2356,s1481,s1316,s1405,s2634,s2598,s1991,s2971,s2674,s1745,s1444,s2268,s2970,s1081,s2954,s2688,s1499,s36,s2941,s38,s40,s15,s727,s1732]) ).
cnf(s2974,plain,
( spl0_219
| spl0_278
| ~ spl0_208
| spl0_292
| ~ spl0_196
| ~ spl0_36
| ~ spl0_16
| ~ spl0_18
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2947,s2511,s1738,s1894,s2960,s1970,s2959,s1473,s2929,s1219,s747,s1651,s12,s15,s1752,s2688,s1499,s2356,s2890,s2660,s784,s2635,s1406,s1732,s727]) ).
cnf(s2975,plain,
( spl0_292
| ~ spl0_196
| ~ spl0_24
| ~ spl0_16
| spl0_8
| ~ spl0_18
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1051,s2146,s1918,s1745,s2971,s2268,s2974,s2356,s2890,s1542,s2634,s2660,s1619,s2869,s2973,s2688,s1499,s36,s1406,s1732]) ).
cnf(s2976,plain,
( spl0_275
| ~ spl0_344
| ~ spl0_278
| spl0_214
| ~ spl0_187
| ~ spl0_317
| ~ spl0_292
| ~ spl0_36
| ~ spl0_50
| ~ spl0_16
| spl0_8
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s2026,s2054,s1348,s1737,s733,s2257,s2415,s2337,s2732,s2773,s2190,s333,s2135,s2508,s1407,s2280,s1409,s508,s2740,s1044,s1753,s1343,s1916,s687,s1864,s1902,s39,s1738,s53,s2947,s1886,s1046,s2634,s1991,s1732,s727,s1215]) ).
cnf(s2977,plain,
( spl0_221
| ~ spl0_181
| ~ spl0_305
| spl0_188
| ~ spl0_190 ),
inference(rat,[],[s1562,s1564,s1475,s844]) ).
cnf(s2978,plain,
( spl0_219
| ~ spl0_292
| ~ spl0_196
| ~ spl0_36
| ~ spl0_50
| ~ spl0_16
| spl0_8
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s1933,s1830,s1737,s2481,s2136,s1407,s1745,s2372,s2965,s1357,s2018,s2977,s2976,s2158,s1995,s2948,s1822,s2736,s2356,s2949,s2929,s765,s1476,s1388,s1499,s1406,s747,s1651,s12,s15,s1389,s2634,s1991,s1732,s1193]) ).
cnf(s2979,plain,
( spl0_37
| ~ spl0_181
| spl0_275
| spl0_341
| spl0_276
| ~ spl0_190
| ~ spl0_36
| ~ spl0_50
| ~ spl0_9 ),
inference(rat,[],[s1463,s1603,s1475,s844,s1357,s2372,s1407,s1978,s2135,s2674,s1193,s1273]) ).
cnf(s2980,plain,
( ~ spl0_183
| ~ spl0_187
| ~ spl0_109
| spl0_191
| ~ spl0_194
| ~ spl0_190
| ~ spl0_36 ),
inference(rat,[],[s130,s1245,s751,s683,s1030]) ).
cnf(s2981,plain,
( ~ spl0_181
| spl0_110
| spl0_275
| spl0_341
| spl0_276
| ~ spl0_219
| ~ spl0_292
| ~ spl0_190
| ~ spl0_43
| ~ spl0_36
| ~ spl0_50
| ~ spl0_16
| ~ spl0_9 ),
inference(rat,[],[s2599,s733,s1392,s2398,s2280,s1567,s1753,s1864,s1902,s1738,s2980,s2736,s297,s2544,s2950,s53,s2773,s1978,s39,s1893,s1894,s2979,s1046,s727,s1732,s1273]) ).
cnf(s2982,plain,
( ~ spl0_228
| spl0_243 ),
inference(rat,[],[s854,s855]) ).
cnf(s2983,plain,
( ~ spl0_183
| ~ spl0_119
| ~ spl0_32
| spl0_275
| spl0_188
| spl0_186
| ~ spl0_36 ),
inference(rat,[],[s2550,s2611,s2076,s2980,s1958,s747,s1046,s297,s2676,s2544]) ).
cnf(s2984,plain,
( spl0_275
| spl0_290
| ~ spl0_213
| ~ spl0_219
| spl0_188
| ~ spl0_292
| ~ spl0_196
| ~ spl0_43
| ~ spl0_36
| ~ spl0_24
| ~ spl0_50
| ~ spl0_16
| ~ spl0_9 ),
inference(rat,[],[s2398,s733,s1567,s1348,s1864,s1902,s1738,s2983,s2773,s53,s1893,s1894,s2355,s2135,s1407,s357,s397,s2462,s2348,s2982,s2364,s1332,s2356,s2981,s2676,s1406,s747,s1651,s1444,s2351,s727,s1732]) ).
cnf(s2985,plain,
( ~ spl0_196
| ~ spl0_24
| ~ spl0_16
| spl0_8
| ~ spl0_18
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1822,s1824,s2356,s875,s1332,s1737,s2982,s828,s2348,s844,s2462,s1357,s397,s2372,s357,s1407,s2135,s1918,s2984,s2351,s1745,s2268,s2978,s1389,s2634,s1991,s2975,s747,s1651,s12,s15,s2869,s2973,s2688,s1499,s36,s1732,s1193]) ).
cnf(s2986,plain,
( ~ spl0_187
| spl0_278 ),
inference(rat,[],[s1995,s2061]) ).
cnf(s2987,plain,
( spl0_219
| spl0_292
| ~ spl0_24
| ~ spl0_16
| spl0_8
| ~ spl0_18
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1255,s2548,s331,s1893,s1959,s1653,s2958,s2939,s733,s130,s2046,s1969,s1055,s2934,s1738,s2960,s2959,s1219,s12,s15,s53,s2250,s1407,s2373,s2986,s1542,s2985,s2869,s2973,s2634,s2660,s727,s1732]) ).
cnf(s2988,plain,
( spl0_292
| ~ spl0_24
| ~ spl0_16
| spl0_8
| ~ spl0_18
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2364,s2476,s2356,s2084,s2085,s1894,s1745,s1698,s2971,s2268,s2987,s2373,s2986,s1542,s2660,s1619,s2688,s1499,s36,s2985,s1732,s727]) ).
cnf(s2989,plain,
( ~ spl0_186
| spl0_208 ),
inference(rat,[],[s738,s739]) ).
cnf(s2990,plain,
( ~ spl0_128
| ~ spl0_183
| spl0_186
| spl0_188
| ~ spl0_36
| ~ spl0_24 ),
inference(rat,[],[s2630,s1030,s331,s2567,s1255,s130,s2578,s1245,s379,s747]) ).
cnf(s2991,plain,
( ~ spl0_183
| spl0_275
| spl0_186
| spl0_188
| ~ spl0_24
| spl0_8
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s2567,s1030,s130,s2630,s237,s331,s2508,s1955,s2560,s2625,s2543,s2740,s2990,s12,s15,s1499,s36,s747,s727]) ).
cnf(s2992,plain,
( ~ spl0_112
| spl0_126 ),
inference(rat,[],[s1893,s2548]) ).
cnf(s2993,plain,
( ~ spl0_182
| ~ spl0_222
| spl0_188
| ~ spl0_292
| ~ spl0_24
| ~ spl0_50
| ~ spl0_16
| ~ spl0_18 ),
inference(rat,[],[s2992,s1255,s1042,s2280,s2644,s1753,s733,s1044,s2650,s1348,s687,s1902,s1447,s727]) ).
cnf(s2994,plain,
( spl0_219
| spl0_199
| ~ spl0_292
| spl0_196
| ~ spl0_24
| ~ spl0_50
| ~ spl0_16
| spl0_8
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s1584,s1491,s1737,s828,s2408,s844,s2462,s1357,s397,s2372,s357,s2373,s1407,s2136,s2991,s1738,s2993,s1447,s2364,s2476,s2356,s2968,s1350,s1476,s12,s15,s22,s36,s1081,s1389,s2634,s747,s2989,s1991,s1732,s1193,s727]) ).
cnf(s2995,plain,
( spl0_8
| ~ spl0_7
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2282,s1737,s1824,s828,s1756,s2348,s53,s844,s2462,s2952,s1357,s397,s2691,s2372,s357,s508,s1407,s2136,s1700,s2991,s1738,s2993,s2364,s2476,s2356,s1481,s1745,s2268,s2994,s2989,s1316,s1389,s2634,s1991,s2988,s1081,s2985,s1499,s36,s269,s2869,s2973,s13,s2931,s12,s15,s22,s1732,s1193,s727]) ).
cnf(s2996,plain,
( spl0_292
| spl0_217
| ~ spl0_27
| spl0_74
| spl0_188
| spl0_219
| ~ spl0_18
| ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s2959,s2958,s738,s733,s2735,s2046,s2924,s2746,s2884,s13,s2660,s1219,s130,s727]) ).
cnf(s2997,plain,
( ~ spl0_7
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2924,s2735,s2746,s2884,s13,s1909,s1499,s37,s53,s297,s2676,s2617,s1405,s2989,s2598,s1991,s2996,s1959,s269,s217,s237,s331,s1241,s1242,s1496,s1497,s2995,s22,s12,s15,s802]) ).
cnf(s2999,plain,
( ~ spl0_196
| ~ spl0_188
| ~ spl0_17
| spl0_24
| ~ spl0_27
| spl0_292
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2959,s1219,s863,s1698,s2982,s2364,s1332,s2356,s2146,s2896,s297,s53,s2424,s1245,s2740,s2925,s2631,s1681,s1635,s1738,s1955,s1237,s241,s252,s2746,s1044,s1223,s2924,s2887,s12,s15,s1619,s38,s40,s2728,s2884,s2634,s1732]) ).
cnf(s3000,plain,
( ~ spl0_228
| ~ spl0_67
| ~ spl0_77
| ~ spl0_25
| ~ spl0_27 ),
inference(rat,[],[s2376,s733,s1443,s2730,s2627,s1338,s1226,s2982,s1247,s38,s40,s2773,s1661,s2575,s1031,s727]) ).
cnf(s3001,plain,
( ~ spl0_188
| ~ spl0_17
| spl0_24
| ~ spl0_27
| spl0_292
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2356,s1257,s1869,s2965,s2959,s863,s3000,s130,s1969,s2920,s2735,s1081,s2999,s2634,s12,s15,s27,s1732]) ).
cnf(s3002,plain,
( ~ spl0_196
| spl0_188
| ~ spl0_17
| spl0_24
| ~ spl0_27
| ~ spl0_4 ),
inference(rat,[],[s2909,s2965,s2740,s2560,s863,s1245,s1499,s2982,s1955,s37,s2908,s241,s252,s53,s1046,s2746,s297,s1405,s2329,s2924,s2887,s1395,s12,s15,s40,s2884,s2044,s52,s727,s802]) ).
cnf(s3003,plain,
( ~ spl0_17
| spl0_24
| ~ spl0_27
| spl0_292
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2356,s1869,s1257,s2959,s2965,s863,s3000,s130,s1969,s738,s2920,s2735,s1081,s3002,s3001,s2884,s12,s15,s27,s1732]) ).
cnf(s3004,plain,
( ~ spl0_16
| ~ spl0_27
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2973,s2659,s15]) ).
cnf(s3005,plain,
( ~ spl0_74
| spl0_275
| ~ spl0_208
| ~ spl0_36
| spl0_292
| ~ spl0_4 ),
inference(rat,[],[s1985,s1635,s2229,s1738,s1955,s2372,s1237,s241,s252,s2689,s12,s15,s2688,s1499,s1732]) ).
cnf(s3007,plain,
( ~ spl0_181
| ~ spl0_224
| ~ spl0_194
| ~ spl0_208
| spl0_322
| ~ spl0_17
| ~ spl0_27
| spl0_292
| ~ spl0_9 ),
inference(rat,[],[s2982,s863,s1338,s2959,s2222,s1869]) ).
cnf(s3008,plain,
( ~ spl0_188
| ~ spl0_27
| spl0_292
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2958,s733,s1959,s1348,s2965,s2268,s2364,s1257,s2356,s3007,s331,s1834,s2650,s1738,s2957,s2735,s1081,s2924,s1031,s2746,s130,s3005,s1046,s1915,s2986,s1542,s2634,s12,s15,s40,s2884,s1752,s2688,s1499,s36,s3003,s13,s3004,s727,s1732]) ).
cnf(s3009,plain,
( ~ spl0_196
| ~ spl0_36
| ~ spl0_17
| ~ spl0_27
| spl0_292
| ~ spl0_4 ),
inference(rat,[],[s2916,s2650,s1738,s1985,s1635,s2229,s2591,s1955,s2372,s2908,s241,s252,s2689,s1046,s2746,s1405,s2924,s1395,s12,s15,s2728,s2884,s1752,s2688,s1499,s1732]) ).
cnf(s3010,plain,
( ~ spl0_180
| ~ spl0_182
| ~ spl0_119
| ~ spl0_67
| ~ spl0_186
| ~ spl0_17
| ~ spl0_27 ),
inference(rat,[],[s1443,s1338,s2958,s2982,s733,s863,s1348,s2965,s2364,s1257,s2884,s727]) ).
cnf(s3011,plain,
( ~ spl0_27
| spl0_292
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1425,s1970,s1338,s2591,s2146,s2356,s3010,s1738,s2773,s2573,s1661,s130,s784,s2575,s1969,s1031,s746,s2920,s2735,s3009,s1316,s1389,s3008,s1752,s2688,s1499,s36,s3003,s13,s3004,s12,s15,s3,s2997,s1619,s1732,s727]) ).
cnf(s3012,plain,
( spl0_213
| spl0_208
| ~ spl0_17
| spl0_8 ),
inference(rat,[],[s1332,s2356,s2982,s2977,s863,s1476,s2965,s2268,s2634,s747,s2735,s2989,s1732]) ).
cnf(s3013,plain,
( ~ spl0_287
| ~ spl0_28
| ~ spl0_17
| spl0_292
| spl0_8
| ~ spl0_4 ),
inference(rat,[],[s2355,s1745,s3012,s2250]) ).
cnf(s3014,plain,
( ~ spl0_17
| spl0_27
| spl0_292
| spl0_8
| ~ spl0_4 ),
inference(rat,[],[s2958,s1020,s2732,s733,s2356,s818,s2627,s1332,s2575,s2982,s2735,s2746,s130,s863,s1118,s2689,s1357,s2691,s2372,s508,s1407,s3013,s37,s282,s2809,s12,s15,s2869,s727,s1732,s1193]) ).
cnf(s3015,plain,
( spl0_292
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2268,s2047,s2201,s2599,s733,s2671,s2475,s2578,s1415,s1566,s2275,s2650,s1902,s1738,s2934,s1044,s2425,s2198,s2086,s2203,s1961,s2561,s1909,s2794,s52,s2988,s2660,s2659,s13,s3014,s2869,s3011,s12,s15,s3,s2997,s727,s1732,s1273,s1215]) ).
cnf(s3016,plain,
( ~ spl0_27
| spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s1338,s2982,s2395,s2966,s2645,s2419,s1635,s2688,s733,s1955,s2372,s1499,s1239,s241,s252,s2689,s36,s2746,s1044,s3002,s2924,s1745,s2735,s3012,s2884,s13,s3004,s12,s15,s2634,s2989,s1991,s3015,s727]) ).
cnf(s3017,plain,
( ~ spl0_17
| spl0_27
| ~ spl0_230
| spl0_208
| spl0_8
| ~ spl0_4 ),
inference(rat,[],[s1011,s1030,s735,s2719,s1738,s918,s1579,s1244,s2575,s2901,s927,s2746,s863,s1355,s2689,s1357,s2691,s2372,s508,s1407,s2355,s1745,s37,s3012,s282,s2809,s2728,s12,s15,s747,s2989,s2869,s727,s1732,s1304,s1193]) ).
cnf(s3018,plain,
( spl0_24
| ~ spl0_16
| spl0_27
| spl0_186
| ~ spl0_292
| ~ spl0_5 ),
inference(rat,[],[s2986,s2611,s1432,s2561,s1909,s52]) ).
cnf(s3019,plain,
( ~ spl0_180
| spl0_222 ),
inference(rat,[],[s2364,s2476]) ).
cnf(s3020,plain,
( ~ spl0_181
| ~ spl0_224
| ~ spl0_190
| spl0_199
| spl0_188
| spl0_8
| ~ spl0_4 ),
inference(rat,[],[s2268,s1745,s1476,s1481,s2968]) ).
cnf(s3021,plain,
( spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s2515,s2475,s1044,s2560,s1969,s1955,s241,s252,s130,s2990,s2573,s1738,s2993,s3019,s2356,s3020,s1081,s1499,s2985,s36,s3018,s2659,s13,s3017,s2869,s3016,s747,s1316,s1389,s2989,s2634,s2598,s1991,s3015,s12,s15,s3,s2997,s727,s1732]) ).
cnf(s3022,plain,
( ~ spl0_27
| ~ spl0_17
| spl0_235
| spl0_24
| spl0_188
| ~ spl0_4 ),
inference(rat,[],[s3000,s863,s130,s2959,s1991,s1969,s738,s2920,s2735,s3002,s12,s15,s27,s2884]) ).
cnf(s3023,plain,
( spl0_221
| spl0_186
| ~ spl0_17
| ~ spl0_8 ),
inference(rat,[],[s1332,s2356,s2982,s2977,s863,s1496,s1476,s1497,s747,s2735,s1732]) ).
cnf(s3024,plain,
( ~ spl0_213
| ~ spl0_287
| ~ spl0_28
| ~ spl0_4 ),
inference(rat,[],[s2355,s1745]) ).
cnf(s3025,plain,
( ~ spl0_17
| spl0_48
| spl0_235
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s2250,s1991,s738,s3023,s2965,s3024,s1407,s282,s2869,s3022,s2884,s1496,s1241]) ).
cnf(s3026,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s53,s297,s2424,s2394,s2617,s40,s2553,s3018,s2989,s1499,s2598,s1991,s1909,s2660,s13,s3025,s508,s1219,s1241,s1243,s1496,s1497,s3021,s3,s2997,s15,s4,s802]) ).
cnf(s3027,plain,
( ~ spl0_228
| spl0_201
| ~ spl0_196
| ~ spl0_38 ),
inference(rat,[],[s2356,s1426,s1332,s1226,s2982,s784,s1223,s1732,s727]) ).
cnf(s3029,plain,
( spl0_186
| ~ spl0_208
| ~ spl0_188
| ~ spl0_41
| spl0_292
| ~ spl0_27
| ~ spl0_17
| spl0_1 ),
inference(rat,[],[s1160,s2591,s47,s2908,s1875,s1752,s2688,s1519,s2551,s1426,s2146,s2356,s3019,s1698,s1219,s2258,s835,s1737,s1375,s863,s852,s3027,s1046,s2459,s784,s1405,s1467,s1223,s1395,s1494,s2735,s4,s10,s3026,s2728,s2884,s38,s2809,s1619,s1732,s727]) ).
cnf(s3030,plain,
( ~ spl0_74
| ~ spl0_221
| ~ spl0_186
| ~ spl0_208 ),
inference(rat,[],[s1020,s1845,s2732,s1809,s1381,s733,s1738,s2507,s1239,s1237,s252,s1737,s1375,s2356,s1257,s2965,s727,s1732]) ).
cnf(s3031,plain,
( ~ spl0_77
| spl0_187
| ~ spl0_230
| ~ spl0_38
| ~ spl0_27 ),
inference(rat,[],[s2544,s2925,s2773,s1738,s2740,s1661,s1244,s1247,s2575,s1031,s1405,s1732]) ).
cnf(s3032,plain,
( ~ spl0_196
| ~ spl0_186
| ~ spl0_208
| ~ spl0_25
| ~ spl0_27
| ~ spl0_17 ),
inference(rat,[],[s1349,s2281,s1737,s1338,s1226,s830,s2982,s863,s844,s3030,s2746,s3031,s1046,s784,s1405,s1223,s1395,s2884,s38,s2809,s1732,s727]) ).
cnf(s3033,plain,
( ~ spl0_221
| ~ spl0_186
| ~ spl0_208
| ~ spl0_25
| spl0_292
| ~ spl0_27
| ~ spl0_17 ),
inference(rat,[],[s2258,s852,s1869,s3000,s2356,s2746,s130,s1737,s1257,s3030,s1375,s2965,s1081,s3032,s1732]) ).
cnf(s3034,plain,
( ~ spl0_191
| ~ spl0_228
| spl0_221
| ~ spl0_208
| ~ spl0_188
| spl0_24
| spl0_292
| ~ spl0_27
| spl0_232 ),
inference(rat,[],[s297,s2127,s2622,s1698,s2026,s53,s1737,s1532,s1009,s2544,s868,s2773,s823,s1661,s2633,s2865,s1637,s2631,s1273,s1732,s727]) ).
cnf(s3035,plain,
( spl0_77
| spl0_191
| spl0_196
| ~ spl0_208
| ~ spl0_17 ),
inference(rat,[],[s1738,s1237,s2888,s2746,s1044,s1732]) ).
cnf(s3036,plain,
( ~ spl0_188
| spl0_24
| spl0_292
| ~ spl0_27
| ~ spl0_17
| spl0_8
| spl0_1 ),
inference(rat,[],[s1159,s1443,s2655,s2773,s733,s2740,s1661,s2627,s1247,s2575,s1031,s3035,s3034,s2730,s1338,s1226,s2982,s863,s3033,s3032,s3029,s2634,s2728,s38,s2809,s52,s27,s727]) ).
cnf(s3037,plain,
( spl0_186
| spl0_188
| spl0_24
| spl0_292
| ~ spl0_27
| ~ spl0_17
| ~ spl0_12 ),
inference(rat,[],[s1443,s2966,s2773,s733,s1417,s333,s1239,s53,s2965,s2507,s252,s297,s863,s2746,s1044,s2676,s3027,s3031,s2617,s1405,s1467,s1223,s1395,s1494,s2735,s2884,s38,s2809,s52,s727,s802]) ).
cnf(s3038,plain,
( spl0_77
| ~ spl0_186
| spl0_24
| spl0_292
| ~ spl0_27
| ~ spl0_17
| spl0_8 ),
inference(rat,[],[s1860,s1559,s733,s2356,s1239,s1257,s2268,s2622,s297,s2127,s2026,s53,s1737,s1532,s1009,s2544,s868,s2773,s823,s1661,s2633,s2732,s2865,s1637,s1738,s1381,s2631,s1237,s2507,s252,s3035,s2746,s2728,s3032,s863,s3033,s738,s2884,s27,s727,s1732,s1273]) ).
cnf(s3039,plain,
( spl0_24
| spl0_292
| ~ spl0_27
| ~ spl0_17
| spl0_8
| spl0_1 ),
inference(rat,[],[s1159,s1443,s2655,s2773,s733,s2740,s1661,s2627,s1247,s2575,s1031,s3038,s2730,s1338,s1226,s2982,s863,s3033,s738,s3037,s3036,s27,s10,s3026,s2884,s38,s2809,s727]) ).
cnf(s3040,plain,
( ~ spl0_183
| ~ spl0_136
| ~ spl0_71
| spl0_275
| spl0_187
| ~ spl0_24
| spl0_292
| ~ spl0_6 ),
inference(rat,[],[s2992,s2773,s1255,s2544,s1218,s2925,s2545]) ).
cnf(s3041,plain,
( ~ spl0_243
| ~ spl0_192
| spl0_275
| ~ spl0_196
| ~ spl0_190
| ~ spl0_36
| ~ spl0_27 ),
inference(rat,[],[s2950,s2356,s1978,s1332,s1338,s1732,s1273]) ).
cnf(s3042,plain,
( spl0_186
| ~ spl0_24
| spl0_292
| ~ spl0_27
| ~ spl0_17
| spl0_8
| ~ spl0_6 ),
inference(rat,[],[s2591,s2644,s1365,s2200,s2471,s1737,s2258,s852,s2982,s3041,s1364,s733,s1239,s3012,s2650,s1237,s1738,s3040,s2740,s1245,s252,s2746,s1044,s3031,s784,s1405,s1223,s1395,s2735,s747,s2884,s38,s2809,s36,s1304,s2449,s1732,s727]) ).
cnf(s3043,plain,
( ~ spl0_230
| spl0_187
| ~ spl0_208
| ~ spl0_36
| ~ spl0_24
| spl0_292
| ~ spl0_27
| ~ spl0_17
| ~ spl0_6 ),
inference(rat,[],[s3040,s1738,s2740,s1237,s1245,s2746,s1044,s3031,s1405,s38,s2809,s1732]) ).
cnf(s3044,plain,
( spl0_77
| spl0_196
| ~ spl0_186
| ~ spl0_36
| spl0_292
| ~ spl0_27
| ~ spl0_17 ),
inference(rat,[],[s2599,s733,s2681,s1159,s2356,s1443,s1425,s2773,s1970,s1661,s2200,s2730,s1338,s2633,s2568,s2055,s2545,s1226,s2982,s2865,s1637,s1738,s2740,s863,s2631,s1237,s1245,s3030,s252,s3035,s2746,s1044,s38,s2809,s738,s2884,s784,s746,s727,s1193,s1732]) ).
cnf(s3045,plain,
( ~ spl0_221
| ~ spl0_136
| ~ spl0_58
| ~ spl0_224
| ~ spl0_208
| ~ spl0_186
| ~ spl0_36
| spl0_292
| ~ spl0_27 ),
inference(rat,[],[s1443,s1594,s1338,s823,s2591,s852,s1351,s1585,s2258,s1772,s1869,s885,s2356,s1737,s2730,s1257,s1375,s1228,s2965,s1619,s784,s746,s2773,s1661,s1732,s727]) ).
cnf(s3046,plain,
( spl0_292
| ~ spl0_27
| ~ spl0_17
| spl0_8
| spl0_1 ),
inference(rat,[],[s2655,s1159,s733,s1443,s2730,s2627,s1338,s1226,s2982,s863,s3045,s2773,s2740,s1661,s1247,s2575,s1031,s3044,s1081,s2427,s3043,s746,s738,s3042,s36,s3039,s4,s2884,s38,s2809,s727]) ).
cnf(s3047,plain,
( ~ spl0_243
| ~ spl0_184
| ~ spl0_194
| ~ spl0_192
| ~ spl0_196
| ~ spl0_27 ),
inference(rat,[],[s1686,s1795,s2356,s2224,s1978,s1332,s1338,s1732,s1273]) ).
cnf(s3048,plain,
( ~ spl0_221
| ~ spl0_208
| spl0_24
| spl0_186
| ~ spl0_27
| ~ spl0_17
| ~ spl0_6 ),
inference(rat,[],[s2314,s2208,s2732,s2187,s1834,s1218,s2644,s2591,s3047,s2617,s837,s297,s852,s53,s1226,s2424,s2730,s1245,s2241,s2740,s1772,s2925,s1689,s1364,s1009,s733,s868,s1737,s1239,s1254,s1375,s2965,s784,s1046,s2676,s1405,s1044,s2507,s252,s1738,s1237,s2746,s3031,s1395,s2884,s1223,s2735,s38,s2809,s802,s727,s1732]) ).
cnf(s3049,plain,
( ~ spl0_228
| ~ spl0_192
| ~ spl0_230
| ~ spl0_196
| ~ spl0_27 ),
inference(rat,[],[s1737,s3047,s830,s2982,s1046,s1405,s1732]) ).
cnf(s3050,plain,
( ~ spl0_28
| ~ spl0_217
| ~ spl0_213
| ~ spl0_100 ),
inference(rat,[],[s1443,s2773,s1417,s333]) ).
cnf(s3051,plain,
( ~ spl0_208
| spl0_186
| ~ spl0_27
| ~ spl0_17
| spl0_8
| ~ spl0_6 ),
inference(rat,[],[s1245,s683,s36,s1738,s3048,s1237,s747,s1046,s297,s53,s3050,s2966,s733,s1239,s1044,s2965,s863,s3049,s784,s2507,s252,s2746,s3031,s1223,s38,s2809,s2676,s1405,s1395,s2735,s2884,s1732,s727]) ).
cnf(s3052,plain,
( spl0_186
| ~ spl0_292
| ~ spl0_27
| ~ spl0_17
| spl0_8
| ~ spl0_6 ),
inference(rat,[],[s1447,s2419,s2026,s1635,s1737,s1753,s1757,s2650,s1829,s1738,s1685,s2730,s683,s2740,s1228,s1245,s36,s2617,s2634,s3051,s297,s53,s3050,s2966,s733,s1239,s2965,s863,s3049,s2507,s252,s2746,s1044,s2676,s1046,s784,s3031,s1405,s1223,s1395,s2735,s747,s2728,s2884,s38,s2809,s1732,s802,s727]) ).
cnf(s3053,plain,
( ~ spl0_221
| ~ spl0_25
| ~ spl0_186
| ~ spl0_292
| ~ spl0_27
| ~ spl0_17 ),
inference(rat,[],[s1349,s1046,s1338,s1405,s2591,s2598,s1481,s1770,s837,s835,s1759,s852,s1869,s3000,s2356,s1737,s2746,s130,s1257,s1375,s3030,s2965,s1081,s3032,s738,s2884,s1732]) ).
cnf(s3054,plain,
( ~ spl0_230
| ~ spl0_218
| ~ spl0_228
| ~ spl0_41
| ~ spl0_186
| ~ spl0_27
| spl0_8 ),
inference(rat,[],[s1257,s2268,s2356,s1841,s2222,s1795,s1758,s2224,s1737,s1046,s830,s1405,s1978,s1338,s2982,s1732,s1273]) ).
cnf(s3055,plain,
( spl0_24
| ~ spl0_27
| ~ spl0_17
| spl0_8
| spl0_1 ),
inference(rat,[],[s1257,s2268,s2356,s2665,s1314,s42,s31,s2598,s3054,s2730,s1226,s863,s3053,s1081,s3032,s27,s52,s9,s10,s3026,s38,s2809,s738,s3052,s3046,s4,s2884,s1732]) ).
cnf(s3056,plain,
( ~ spl0_221
| ~ spl0_36
| ~ spl0_186
| ~ spl0_292
| ~ spl0_27
| ~ spl0_17 ),
inference(rat,[],[s1351,s778,s1772,s2598,s885,s3031,s2730,s1737,s2746,s1228,s1375,s3030,s38,s2809,s738,s2884,s784,s746,s1732,s727]) ).
cnf(s3057,plain,
( ~ spl0_196
| ~ spl0_228
| ~ spl0_192
| ~ spl0_27
| spl0_209 ),
inference(rat,[],[s3049,s1395]) ).
cnf(s3058,plain,
( ~ spl0_230
| ~ spl0_218
| ~ spl0_228
| spl0_187
| ~ spl0_27 ),
inference(rat,[],[s1772,s885,s1349,s1737,s1046,s830,s1405,s784,s1338,s2982,s1732,s727]) ).
cnf(s3059,plain,
( ~ spl0_27
| ~ spl0_17
| spl0_8
| spl0_1 ),
inference(rat,[],[s3019,s2356,s1022,s1314,s73,s47,s72,s43,s2877,s2598,s3058,s2373,s1081,s3057,s2730,s1226,s863,s3056,s784,s746,s51,s36,s3055,s3052,s3046,s38,s4,s2809,s2884,s1732,s727]) ).
cnf(s3060,plain,
( spl0_24
| spl0_49
| ~ spl0_196
| spl0_186
| spl0_27
| spl0_1 ),
inference(rat,[],[s1223,s2587,s2611,s1968,s2561,s2794,s3,s69,s269,s52,s1317,s4,s3026,s2869]) ).
cnf(s3061,plain,
( ~ spl0_192
| spl0_322
| ~ spl0_181
| spl0_274 ),
inference(rat,[],[s1970,s1425]) ).
cnf(s3062,plain,
( ~ spl0_74
| ~ spl0_221
| ~ spl0_36
| ~ spl0_28 ),
inference(rat,[],[s2655,s1159,s733,s2740,s3050,s1239,s1245,s2507,s252,s2965,s2730,s1228,s727]) ).
cnf(s3063,plain,
( spl0_243
| spl0_292
| ~ spl0_191
| ~ spl0_221
| ~ spl0_28
| ~ spl0_50
| spl0_37
| spl0_8 ),
inference(rat,[],[s2508,s333,s331,s2773,s2630,s2544,s2634,s1915,s1375,s2144,s1737,s1407,s2258,s2355,s852,s2591,s2982,s1035,s1417,s2965,s2865,s2631,s1193,s1732]) ).
cnf(s3064,plain,
( ~ spl0_243
| ~ spl0_77
| ~ spl0_24
| spl0_214
| ~ spl0_196
| spl0_186
| ~ spl0_36
| spl0_209 ),
inference(rat,[],[s1542,s2990,s1995,s2740,s2736,s2655,s1426,s1159,s1550,s1020,s733,s2356,s2627,s1332,s2730,s1738,s1244,s1395,s2732,s818,s2575,s1031,s727,s1732]) ).
cnf(s3065,plain,
( ~ spl0_208
| spl0_243
| ~ spl0_191
| ~ spl0_221
| ~ spl0_28
| ~ spl0_50 ),
inference(rat,[],[s1407,s508,s2355,s2690,s2591,s867,s2992,s837,s1009,s2773,s1737,s2544,s1375,s1532,s1035,s1417,s2965,s852,s2982,s1732]) ).
cnf(s3066,plain,
( ~ spl0_221
| spl0_186
| ~ spl0_17
| spl0_8
| spl0_1 ),
inference(rat,[],[s1407,s2136,s1447,s2144,s2026,s2511,s1737,s2544,s1009,s2773,s868,s333,s1254,s2508,s331,s2630,s2634,s3065,s3063,s2982,s3064,s1030,s2567,s1738,s1244,s2746,s130,s3062,s3060,s872,s1228,s2965,s2728,s2869,s37,s282,s3059,s2809,s747,s1395,s2735,s2884,s1193,s1732,s727]) ).
cnf(s3067,plain,
( ~ spl0_49
| ~ spl0_28
| ~ spl0_17
| spl0_8 ),
inference(rat,[],[s3012,s872,s752]) ).
cnf(s3068,plain,
( spl0_219
| spl0_317
| ~ spl0_181
| ~ spl0_190 ),
inference(rat,[],[s1954,s1473]) ).
cnf(s3069,plain,
( spl0_186
| ~ spl0_17
| spl0_8
| spl0_1 ),
inference(rat,[],[s1159,s2655,s733,s2740,s3050,s1239,s1245,s2507,s252,s2746,s3064,s2730,s2551,s1444,s2268,s3068,s3060,s1597,s2356,s1737,s1332,s830,s2982,s863,s844,s3066,s1395,s2735,s747,s2728,s2884,s37,s2809,s3067,s282,s3059,s727,s1732]) ).
cnf(s3070,plain,
( ~ spl0_221
| ~ spl0_208
| ~ spl0_186
| ~ spl0_36
| ~ spl0_28 ),
inference(rat,[],[s1758,s2222,s2356,s1737,s2730,s1417,s1257,s1375,s1228,s2965,s1046,s1532,s1732]) ).
cnf(s3071,plain,
( spl0_214
| spl0_314
| ~ spl0_184
| spl0_275 ),
inference(rat,[],[s2226,s1829,s2730,s1046]) ).
cnf(s3072,plain,
( spl0_24
| spl0_38
| spl0_49
| spl0_27
| spl0_1 ),
inference(rat,[],[s1968,s2794,s2587,s3,s69,s269,s1317,s4,s3026,s2869]) ).
cnf(s3075,plain,
( ~ spl0_74
| spl0_187
| ~ spl0_208
| ~ spl0_36
| ~ spl0_28 ),
inference(rat,[],[s2544,s2925,s2773,s2740,s1738,s333,s1245,s1237,s2507,s252,s1532,s1732]) ).
cnf(s3076,plain,
( ~ spl0_196
| ~ spl0_217
| ~ spl0_58
| ~ spl0_243 ),
inference(rat,[],[s1020,s2732,s818,s2356,s1332,s1732]) ).
cnf(s3077,plain,
( ~ spl0_17
| spl0_8
| spl0_1 ),
inference(rat,[],[s331,s1959,s1255,s1444,s2551,s3072,s2730,s1247,s2578,s2241,s2740,s1772,s2925,s1689,s1009,s1738,s1737,s1244,s830,s2598,s2250,s69,s1407,s2373,s3076,s2958,s868,s733,s823,s2627,s2575,s1031,s2746,s130,s3075,s2982,s863,s3070,s784,s746,s738,s3069,s3067,s37,s282,s2869,s3059,s2884,s2809,s2728,s1732,s727]) ).
cnf(s3078,plain,
( ~ spl0_74
| ~ spl0_306
| ~ spl0_71
| ~ spl0_208
| ~ spl0_221 ),
inference(rat,[],[s1009,s1804,s868,s733,s1738,s1254,s1239,s1237,s2507,s252,s2965,s1737,s1375,s727,s1732]) ).
cnf(s3079,plain,
( ~ spl0_183
| ~ spl0_67
| ~ spl0_214
| ~ spl0_109
| ~ spl0_194
| ~ spl0_184
| spl0_186 ),
inference(rat,[],[s868,s1009,s2073,s1030,s2578,s379,s2567,s683,s747,s727]) ).
cnf(s3080,plain,
( ~ spl0_109
| spl0_290
| ~ spl0_196
| ~ spl0_18
| spl0_24
| ~ spl0_208
| ~ spl0_221
| spl0_186
| ~ spl0_27
| ~ spl0_16 ),
inference(rat,[],[s2275,s1753,s2650,s1902,s1738,s3079,s130,s3078,s2298,s3071,s1480,s2146,s1686,s2356,s2890,s2617,s1046,s1405,s1044,s3031,s835,s852,s3049,s784,s1223,s38,s40,s1395,s1406,s1737,s1375,s1732,s1193,s802,s727]) ).
cnf(s3081,plain,
( ~ spl0_196
| spl0_15
| spl0_24
| ~ spl0_208
| ~ spl0_221
| spl0_186
| ~ spl0_27
| ~ spl0_16 ),
inference(rat,[],[s885,s1772,s2730,s1349,s1228,s1417,s37,s53,s297,s3080,s2591,s3047,s2676,s1046,s784,s1405,s1223,s1395,s1406,s38,s40,s2965,s1737,s1375,s2659,s727,s1732]) ).
cnf(s3082,plain,
( ~ spl0_230
| spl0_214
| ~ spl0_32
| ~ spl0_224
| ~ spl0_285
| spl0_24
| ~ spl0_184
| spl0_186
| ~ spl0_27 ),
inference(rat,[],[s1619,s2251,s1432,s2982,s1995,s2061,s1338,s2736,s2222,s1869,s1686,s2356,s3019,s1698,s2617,s1841,s297,s2226,s3071,s2676,s1046,s1405,s52,s1758,s2730,s1732,s802]) ).
cnf(s3083,plain,
( ~ spl0_74
| ~ spl0_181
| spl0_274
| spl0_196
| ~ spl0_208
| ~ spl0_221
| ~ spl0_38 ),
inference(rat,[],[s2741,s1247,s2592,s1055,s1587,s2888,s1009,s868,s733,s1738,s1254,s1239,s1237,s2507,s252,s2965,s1737,s1375,s727,s1732]) ).
cnf(s3084,plain,
( ~ spl0_183
| ~ spl0_71
| spl0_292
| spl0_196
| ~ spl0_184
| ~ spl0_221
| spl0_8
| ~ spl0_6 ),
inference(rat,[],[s1254,s867,s2508,s1009,s1218,s2888,s2545]) ).
cnf(s3085,plain,
( ~ spl0_181
| ~ spl0_228
| ~ spl0_188
| spl0_292
| spl0_322
| ~ spl0_32
| spl0_196
| spl0_24
| ~ spl0_208
| ~ spl0_221
| ~ spl0_27
| spl0_8
| ~ spl0_6 ),
inference(rat,[],[s297,s2210,s2219,s2650,s1902,s1738,s3084,s1044,s3000,s130,s3083,s2344,s2222,s38,s40,s1737,s1375,s27,s1338,s2982,s1215,s1732,s802]) ).
cnf(s3086,plain,
( ~ spl0_182
| ~ spl0_275
| ~ spl0_188
| ~ spl0_32
| spl0_24
| ~ spl0_208 ),
inference(rat,[],[s297,s2210,s2219,s2650,s1237,s1902,s1215]) ).
cnf(s3087,plain,
( ~ spl0_228
| ~ spl0_188
| spl0_292
| spl0_214
| ~ spl0_32
| spl0_196
| spl0_24
| ~ spl0_208
| ~ spl0_221
| ~ spl0_27
| spl0_8
| ~ spl0_6 ),
inference(rat,[],[s1845,s1443,s1809,s2773,s733,s1661,s2627,s2575,s1031,s1055,s3084,s1738,s3086,s3071,s1841,s1698,s3019,s2356,s3085,s1338,s2982,s52,s1758,s2730,s1737,s1375,s727,s1732]) ).
cnf(s3088,plain,
( spl0_214
| ~ spl0_32
| spl0_15
| spl0_24
| ~ spl0_208
| ~ spl0_221
| spl0_186
| ~ spl0_27
| ~ spl0_16
| spl0_8
| ~ spl0_6 ),
inference(rat,[],[s3019,s2356,s1698,s1869,s1219,s2258,s852,s3087,s2660,s2598,s3082,s1737,s1375,s1909,s1081,s3081,s1732]) ).
cnf(s3089,plain,
( ~ spl0_32
| spl0_15
| spl0_24
| ~ spl0_208
| ~ spl0_221
| spl0_186
| ~ spl0_27
| ~ spl0_16
| spl0_8
| ~ spl0_6 ),
inference(rat,[],[s297,s2394,s2617,s2598,s2553,s1698,s2298,s3019,s1585,s2356,s1770,s1481,s835,s1759,s1519,s1963,s852,s2551,s1226,s3088,s38,s40,s2018,s1737,s1375,s1909,s1081,s3081,s802,s1193,s1732]) ).
cnf(s3090,plain,
( spl0_24
| ~ spl0_208
| ~ spl0_221
| spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s3058,s2986,s2598,s1432,s2660,s1698,s3019,s852,s2356,s2254,s2222,s1770,s1758,s1841,s1349,s2730,s3071,s1046,s1228,s1532,s1417,s37,s53,s3089,s1081,s3081,s349,s1909,s52,s353,s9,s10,s3026,s13,s3077,s4,s40,s2965,s1737,s1375,s1732]) ).
cnf(s3091,plain,
( ~ spl0_196
| spl0_214
| ~ spl0_24
| ~ spl0_184
| ~ spl0_27
| ~ spl0_16
| spl0_17
| ~ spl0_12 ),
inference(rat,[],[s2659,s765,s349,s1444,s1156,s2674,s3019,s1349,s2356,s1772,s1686,s3071,s1046,s885,s784,s1405,s1223,s1395,s1406,s9,s38,s40,s2730,s1732,s727]) ).
cnf(s3092,plain,
( ~ spl0_181
| spl0_317
| ~ spl0_194
| spl0_322
| ~ spl0_24
| ~ spl0_190
| spl0_37 ),
inference(rat,[],[s1444,s2674,s3068,s2222]) ).
cnf(s3093,plain,
( ~ spl0_228
| spl0_209
| ~ spl0_230
| ~ spl0_32
| ~ spl0_218
| ~ spl0_24
| ~ spl0_184
| ~ spl0_27
| ~ spl0_16
| ~ spl0_12 ),
inference(rat,[],[s2077,s1432,s2076,s2660,s1542,s2224,s1995,s1338,s3058,s2982,s1046,s1405]) ).
cnf(s3094,plain,
( ~ spl0_230
| ~ spl0_32
| spl0_214
| ~ spl0_24
| ~ spl0_184
| ~ spl0_190
| ~ spl0_27
| ~ spl0_16
| spl0_17
| ~ spl0_12 ),
inference(rat,[],[s1402,s1963,s2485,s1444,s2591,s2674,s1338,s1349,s1770,s1759,s852,s3093,s349,s1156,s3019,s2476,s2356,s3092,s1886,s3071,s1046,s1405,s9,s40,s1758,s2730,s1081,s3091,s1732]) ).
cnf(s3095,plain,
( ~ spl0_278
| spl0_230
| ~ spl0_24
| ~ spl0_16
| spl0_17
| ~ spl0_12 ),
inference(rat,[],[s2598,s2660,s349,s1542,s1105,s9]) ).
cnf(s3096,plain,
( spl0_230
| spl0_214
| ~ spl0_24
| ~ spl0_184
| ~ spl0_27
| spl0_17
| spl0_1 ),
inference(rat,[],[s2258,s2598,s1219,s852,s349,s1444,s2982,s1156,s2674,s1338,s3019,s1349,s2356,s1772,s1686,s3071,s1046,s885,s784,s1915,s2986,s3095,s9,s10,s3026,s13,s4,s40,s2730,s1732,s727]) ).
cnf(s3097,plain,
( ~ spl0_208
| ~ spl0_221
| spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s2485,s2688,s1447,s1432,s2660,s1542,s1995,s3058,s852,s2254,s3019,s2476,s1770,s2356,s1349,s2222,s1417,s53,s3071,s1046,s3094,s1405,s3096,s1081,s3091,s1758,s2730,s1228,s36,s3090,s1737,s1375,s10,s3026,s13,s3077,s4,s747,s2965,s1732]) ).
cnf(s3098,plain,
( ~ spl0_183
| ~ spl0_67
| spl0_327
| ~ spl0_28
| spl0_275
| spl0_188
| spl0_186
| spl0_8 ),
inference(rat,[],[s333,s2773,s2508,s2544,s331,s1030,s2013,s2567,s747]) ).
cnf(s3099,plain,
( spl0_24
| spl0_188
| ~ spl0_221
| spl0_186
| ~ spl0_27
| ~ spl0_16
| spl0_17
| spl0_8
| ~ spl0_12 ),
inference(rat,[],[s2419,s2966,s1635,s733,s1753,s1348,s2650,s1902,s1738,s3098,s1447,s3019,s3058,s2356,s2730,s130,s2222,s1228,s3062,s1417,s37,s1887,s53,s1044,s2550,s297,s1046,s3031,s2611,s2617,s2394,s1915,s2986,s2598,s2553,s1432,s2044,s349,s1909,s52,s353,s9,s38,s40,s2965,s2660,s727,s1732,s802]) ).
cnf(s3100,plain,
( ~ spl0_181
| spl0_317
| spl0_275
| spl0_290
| spl0_214
| ~ spl0_24
| spl0_199
| ~ spl0_282
| ~ spl0_27 ),
inference(rat,[],[s2943,s784,s1978,s1223,s1679,s1081,s1444,s1481,s2169,s38,s40,s727,s1273]) ).
cnf(s3101,plain,
( spl0_187
| spl0_15
| ~ spl0_222
| ~ spl0_185
| ~ spl0_32
| ~ spl0_24
| spl0_188
| spl0_186
| ~ spl0_27
| ~ spl0_16 ),
inference(rat,[],[s2644,s2200,s733,s2471,s1348,s2650,s1902,s1738,s2944,s2076,s1044,s2550,s3031,s2611,s38,s40,s747,s1447,s828,s2659,s297,s2676,s1405,s2598,s2660,s727,s1304,s2449,s1732]) ).
cnf(s3102,plain,
( ~ spl0_185
| ~ spl0_32
| ~ spl0_24
| spl0_199
| spl0_188
| ~ spl0_221
| spl0_186
| ~ spl0_27
| ~ spl0_16
| spl0_8
| ~ spl0_12 ),
inference(rat,[],[s1044,s2967,s687,s1738,s2944,s2076,s2077,s2688,s1432,s2144,s1995,s3101,s2476,s2356,s3100,s297,s1886,s2676,s1405,s828,s2598,s2659,s16,s1447,s1129,s2026,s747,s2018,s1389,s2660,s1228,s36,s1732,s1193]) ).
cnf(s3103,plain,
( ~ spl0_32
| ~ spl0_221
| spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s3094,s3096,s1737,s3102,s747,s1316,s1228,s36,s3099,s2634,s3097,s13,s4,s3077,s10,s3026,s1732]) ).
cnf(s3104,plain,
( ~ spl0_181
| spl0_290
| spl0_275
| ~ spl0_216
| spl0_214
| spl0_199
| ~ spl0_38 ),
inference(rat,[],[s1223,s2736,s1081,s2943,s1481]) ).
cnf(s3105,plain,
( ~ spl0_183
| spl0_15
| spl0_275
| ~ spl0_67
| spl0_188
| spl0_186
| ~ spl0_27
| ~ spl0_12 ),
inference(rat,[],[s1661,s2773,s2633,s2544,s1652,s1030,s2609,s2567,s2569,s747]) ).
cnf(s3106,plain,
( ~ spl0_185
| ~ spl0_230
| ~ spl0_67
| spl0_188
| ~ spl0_221
| spl0_186
| ~ spl0_27
| ~ spl0_16
| spl0_8
| ~ spl0_12 ),
inference(rat,[],[s2371,s2200,s1635,s733,s2471,s1753,s1348,s2650,s1902,s1738,s3105,s16,s1447,s830,s1129,s2026,s2018,s2660,s1405,s727,s1304,s2449,s1732]) ).
cnf(s3107,plain,
( ~ spl0_230
| ~ spl0_67
| spl0_274
| spl0_188
| ~ spl0_221
| spl0_186
| ~ spl0_27
| ~ spl0_16
| spl0_17
| spl0_8
| ~ spl0_12 ),
inference(rat,[],[s1432,s2688,s1995,s2485,s3058,s1447,s852,s3019,s2476,s2254,s2356,s1770,s2222,s1081,s3071,s1758,s3091,s1737,s3106,s1349,s1046,s1405,s2660,s2730,s1228,s36,s3099,s1732]) ).
cnf(s3108,plain,
( ~ spl0_221
| spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s1129,s16,s1737,s2598,s3096,s3107,s130,s3062,s1417,s53,s3103,s1228,s36,s3099,s2660,s2634,s3097,s2965,s10,s3026,s13,s3077,s4,s1732]) ).
cnf(s3109,plain,
( ~ spl0_185
| spl0_15
| ~ spl0_188
| spl0_24
| ~ spl0_109
| spl0_317
| ~ spl0_230
| ~ spl0_208
| spl0_221
| ~ spl0_190
| ~ spl0_27
| ~ spl0_16 ),
inference(rat,[],[s2599,s2620,s733,s2773,s2966,s2544,s2419,s2888,s1635,s1044,s1415,s1247,s2578,s379,s683,s1738,s2591,s2960,s2929,s2623,s1698,s830,s2026,s2054,s38,s40,s1046,s1405,s1909,s2659,s1273,s727,s1732]) ).
cnf(s3111,plain,
( ~ spl0_183
| ~ spl0_276
| ~ spl0_241
| ~ spl0_109
| ~ spl0_194
| ~ spl0_190 ),
inference(rat,[],[s1992,s733,s683,s1689,s727]) ).
cnf(s3112,plain,
( spl0_24
| ~ spl0_109
| spl0_317
| ~ spl0_230
| ~ spl0_208
| spl0_221
| spl0_186
| ~ spl0_27
| ~ spl0_16
| spl0_17
| ~ spl0_12 ),
inference(rat,[],[s2275,s1753,s2650,s1902,s1738,s3111,s2298,s1585,s2591,s2674,s1338,s1349,s1584,s1491,s1737,s3109,s349,s2617,s353,s9,s40,s747,s844,s1046,s1405,s1732,s1193,s802]) ).
cnf(s3113,plain,
( ~ spl0_321
| spl0_15
| ~ spl0_32
| ~ spl0_27
| ~ spl0_12 ),
inference(rat,[],[s1661,s2633,s1653,s1652]) ).
cnf(s3114,plain,
( ~ spl0_188
| spl0_321
| ~ spl0_18
| ~ spl0_222
| ~ spl0_36
| ~ spl0_24
| ~ spl0_109
| spl0_317
| ~ spl0_230
| ~ spl0_208
| spl0_221
| ~ spl0_190
| ~ spl0_27
| ~ spl0_16
| ~ spl0_6 ),
inference(rat,[],[s2653,s1245,s2515,s683,s1044,s1738,s3031,s2960,s2929,s2986,s1698,s1542,s38,s40,s1046,s1405,s1732]) ).
cnf(s3115,plain,
( ~ spl0_185
| ~ spl0_36
| ~ spl0_230
| ~ spl0_208
| ~ spl0_32
| spl0_221
| spl0_186
| ~ spl0_27
| spl0_17
| spl0_1 ),
inference(rat,[],[s1044,s2967,s687,s1738,s2944,s2076,s2688,s2550,s1432,s2101,s2144,s1995,s2061,s3101,s2660,s3114,s3113,s2659,s349,s1156,s830,s2026,s2054,s9,s747,s3112,s297,s2676,s1886,s1405,s13,s4,s10,s3026,s1732,s1193]) ).
cnf(s3116,plain,
( ~ spl0_230
| ~ spl0_208
| ~ spl0_32
| spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s2960,s1389,s1738,s1350,s3111,s1444,s2674,s1349,s1584,s1491,s1737,s3115,s36,s3112,s297,s1886,s2676,s1046,s1405,s10,s3026,s13,s3077,s4,s40,s747,s844,s3108,s1732]) ).
cnf(s3117,plain,
( spl0_275
| ~ spl0_183
| spl0_219
| spl0_292
| ~ spl0_18
| ~ spl0_285
| ~ spl0_32
| spl0_186
| ~ spl0_38 ),
inference(rat,[],[s2631,s2888,s1635,s1044,s1415,s1247,s2578,s379,s683,s2929,s297,s1886,s2676,s1046,s747]) ).
cnf(s3118,plain,
( ~ spl0_185
| spl0_292
| ~ spl0_18
| spl0_24
| ~ spl0_208
| ~ spl0_32
| spl0_221
| spl0_186
| ~ spl0_38
| ~ spl0_16 ),
inference(rat,[],[s297,s2622,s2127,s3117,s1738,s2960,s1698,s2026,s2054,s1909,s2660,s1273,s1732]) ).
cnf(s3119,plain,
( spl0_24
| spl0_230
| ~ spl0_208
| ~ spl0_32
| spl0_221
| spl0_186
| ~ spl0_27
| ~ spl0_16
| spl0_17
| spl0_8
| ~ spl0_12 ),
inference(rat,[],[s1493,s2187,s130,s1633,s2061,s1464,s2206,s1239,s1485,s1984,s1068,s1475,s733,s2356,s1689,s3019,s1738,s1698,s2268,s3086,s2623,s2344,s297,s1349,s1978,s2394,s1338,s1478,s2591,s1585,s1584,s1491,s1737,s3118,s2660,s1619,s2598,s2659,s349,s1909,s353,s9,s38,s40,s747,s844,s727,s1215,s1732,s1273,s802]) ).
cnf(s3120,plain,
( ~ spl0_185
| ~ spl0_24
| spl0_230
| ~ spl0_208
| ~ spl0_32
| spl0_221
| spl0_186
| ~ spl0_27
| spl0_17
| spl0_1 ),
inference(rat,[],[s2545,s1218,s1044,s1255,s1247,s2578,s379,s683,s1738,s2960,s1698,s3101,s2598,s349,s1156,s2026,s2054,s9,s38,s747,s2986,s1046,s297,s2676,s1915,s3095,s13,s4,s10,s3026,s40,s1732]) ).
cnf(s3121,plain,
( ~ spl0_208
| ~ spl0_32
| spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s2598,s2258,s349,s1219,s1108,s1444,s2674,s1349,s852,s1584,s1226,s1491,s3096,s1737,s3120,s1046,s1915,s3095,s3119,s3116,s9,s10,s3026,s13,s3077,s4,s38,s40,s747,s844,s3108,s1732]) ).
cnf(s3122,plain,
( ~ spl0_185
| ~ spl0_230
| spl0_188
| ~ spl0_32
| spl0_186
| ~ spl0_27
| ~ spl0_16
| spl0_17
| ~ spl0_12 ),
inference(rat,[],[s1044,s2967,s687,s1738,s2944,s2076,s2077,s2688,s1432,s2144,s1995,s2061,s3101,s2659,s349,s1156,s830,s2026,s2054,s9,s747,s2660,s2679,s297,s2676,s1405,s1732,s1193,s802]) ).
cnf(s3123,plain,
( ~ spl0_230
| spl0_188
| ~ spl0_32
| ~ spl0_215
| spl0_186
| ~ spl0_27
| ~ spl0_16
| spl0_17
| ~ spl0_12 ),
inference(rat,[],[s1444,s2674,s1350,s1349,s1584,s1491,s1737,s3122,s2679,s297,s2676,s1046,s1405,s40,s747,s1389,s1732,s802]) ).
cnf(s3124,plain,
( spl0_28
| spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s2288,s2986,s2356,s3095,s3019,s353,s1156,s1351,s539,s778,s2598,s3123,s2660,s2634,s3121,s30,s53,s10,s3026,s13,s3077,s4,s747,s844,s3108,s1732]) ).
cnf(s3127,plain,
( ~ spl0_181
| ~ spl0_216
| spl0_275
| spl0_221
| ~ spl0_190 ),
inference(rat,[],[s1463,s1603,s1475,s844]) ).
cnf(s3128,plain,
( ~ spl0_71
| spl0_196
| spl0_292
| ~ spl0_183
| spl0_275
| ~ spl0_28
| spl0_8
| ~ spl0_6 ),
inference(rat,[],[s333,s2773,s2508,s2544,s1218,s2888,s2545]) ).
cnf(s3129,plain,
( ~ spl0_77
| spl0_214
| spl0_274
| spl0_219
| ~ spl0_18
| ~ spl0_27 ),
inference(rat,[],[s1159,s1443,s2655,s2773,s733,s2740,s1661,s2046,s1247,s2575,s1031,s38,s40,s2730,s727]) ).
cnf(s3130,plain,
( ~ spl0_112
| ~ spl0_285
| ~ spl0_28
| ~ spl0_16
| spl0_8 ),
inference(rat,[],[s2508,s2045,s333,s2992]) ).
cnf(s3131,plain,
( ~ spl0_274
| ~ spl0_285
| ~ spl0_28
| spl0_37
| ~ spl0_16
| spl0_8 ),
inference(rat,[],[s2268,s1963,s1417,s2674]) ).
cnf(s3132,plain,
( ~ spl0_188
| ~ spl0_180
| spl0_274
| ~ spl0_119
| ~ spl0_18
| ~ spl0_41
| ~ spl0_230
| spl0_275
| ~ spl0_208
| spl0_221
| ~ spl0_27
| ~ spl0_16 ),
inference(rat,[],[s2583,s1995,s3129,s3031,s1737,s1055,s1795,s2888,s1958,s1738,s2960,s1841,s1698,s2890,s38,s40,s2544,s1978,s2476,s3019,s1732,s727,s1273]) ).
cnf(s3133,plain,
( spl0_24
| ~ spl0_230
| ~ spl0_208
| ~ spl0_28
| spl0_221
| spl0_186
| ~ spl0_27
| ~ spl0_16
| spl0_17
| spl0_8
| ~ spl0_12 ),
inference(rat,[],[s1348,s733,s1738,s2958,s3105,s130,s3075,s2986,s1432,s2660,s3132,s3019,s2356,s3127,s1443,s1978,s3131,s2773,s3130,s2659,s349,s1909,s52,s353,s9,s747,s37,s40,s1532,s727,s1732,s1273]) ).
cnf(s3134,plain,
( ~ spl0_183
| ~ spl0_67
| spl0_77
| spl0_275
| ~ spl0_28
| spl0_186
| spl0_8
| spl0_1 ),
inference(rat,[],[s333,s2773,s2508,s2544,s1218,s1030,s2624,s2567,s4,s10,s3026,s747]) ).
cnf(s3135,plain,
( ~ spl0_188
| ~ spl0_230
| ~ spl0_208
| spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s3127,s2356,s1978,s3019,s1417,s1698,s2268,s2960,s1738,s3134,s130,s3075,s3031,s2986,s1542,s38,s747,s37,s40,s1532,s3133,s3124,s3108,s13,s4,s3077,s10,s3026,s1732,s1273]) ).
cnf(s3136,plain,
( spl0_15
| ~ spl0_136
| ~ spl0_183
| spl0_188
| ~ spl0_208
| spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s2655,s1159,s733,s1239,s2268,s3129,s2730,s2583,s1737,s1795,s1443,s1978,s2485,s1679,s1447,s2556,s3019,s2356,s1055,s1475,s2888,s1562,s2688,s1958,s2544,s1932,s1432,s2773,s1223,s1995,s2061,s333,s3075,s2507,s252,s130,s3105,s2659,s10,s3026,s38,s747,s3108,s37,s40,s1532,s3124,s2660,s13,s3077,s4,s727,s1732,s1273]) ).
cnf(s3137,plain,
( ~ spl0_183
| ~ spl0_230
| ~ spl0_208
| spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s2925,s2986,s1012,s1105,s2865,s539,s3136,s2740,s2990,s37,s40,s3133,s3124,s3108,s13,s4,s3077,s10,s3026,s3135]) ).
cnf(s3139,plain,
( ~ spl0_222
| ~ spl0_67
| ~ spl0_182
| ~ spl0_292
| spl0_221 ),
inference(rat,[],[s2958,s2419,s733,s1447,s1348,s1635,s1753,s1864,s1902,s727]) ).
cnf(s3140,plain,
( ~ spl0_230
| ~ spl0_208
| spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s2674,s1444,s1979,s1476,s3127,s2977,s2356,s3019,s3139,s130,s1237,s1738,s3137,s2660,s3135,s3133,s10,s3026,s13,s3077,s4,s40,s747,s3108,s1532,s3124,s1193,s1732]) ).
cnf(s3141,plain,
( spl0_24
| ~ spl0_208
| spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s2054,s2551,s1737,s3129,s1795,s1055,s1958,s3128,s1738,s2960,s1963,s1841,s1698,s2890,s3019,s2476,s2356,s3127,s2660,s1978,s2773,s2598,s2659,s3131,s3130,s349,s1909,s52,s353,s9,s10,s3026,s13,s3077,s4,s40,s747,s3108,s1532,s3124,s3140,s1732,s727,s1273]) ).
cnf(s3142,plain,
( ~ spl0_183
| ~ spl0_208
| spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s369,s2544,s1661,s1030,s2575,s1031,s2567,s3134,s747,s1532,s130,s3075,s2986,s3095,s3141,s3140,s13,s4,s3077,s10,s3026,s37,s40,s3124]) ).
cnf(s3143,plain,
( ~ spl0_188
| ~ spl0_182
| ~ spl0_208
| ~ spl0_28
| spl0_221
| ~ spl0_190
| ~ spl0_16
| spl0_8 ),
inference(rat,[],[s3127,s2356,s1978,s3019,s1417,s1698,s2268,s2960,s1532,s1732,s1273]) ).
cnf(s3144,plain,
( ~ spl0_208
| spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s2660,s2598,s3143,s349,s1109,s1864,s1902,s1738,s3142,s3140,s9,s10,s3026,s13,s3077,s4,s747,s3108,s3124,s1732]) ).
cnf(s3145,plain,
( spl0_24
| ~ spl0_183
| spl0_275
| spl0_188
| ~ spl0_28
| spl0_186
| ~ spl0_27
| ~ spl0_16
| spl0_17
| spl0_8
| ~ spl0_12 ),
inference(rat,[],[s2741,s2925,s1245,s2544,s130,s2986,s2773,s3105,s1432,s3130,s349,s1909,s353,s9,s37,s40,s2660]) ).
cnf(s3146,plain,
( ~ spl0_181
| spl0_322
| ~ spl0_194
| spl0_188
| ~ spl0_28
| spl0_221
| ~ spl0_190
| spl0_8 ),
inference(rat,[],[s2268,s1417,s1476,s2222,s2977]) ).
cnf(s3147,plain,
( ~ spl0_183
| spl0_275
| spl0_188
| ~ spl0_28
| spl0_221
| spl0_186
| ~ spl0_27
| ~ spl0_16
| spl0_17
| spl0_8
| ~ spl0_12 ),
inference(rat,[],[s2655,s1159,s733,s1239,s2268,s3129,s1443,s1055,s2730,s1679,s2888,s2583,s2556,s1223,s1995,s2925,s2544,s2773,s333,s1737,s2507,s252,s2282,s130,s1824,s3105,s2659,s2273,s349,s1447,s1156,s3019,s2476,s2356,s3146,s2055,s2740,s2990,s3145,s9,s38,s747,s844,s37,s40,s1389,s2660,s1046,s727,s1732]) ).
cnf(s3148,plain,
( spl0_24
| ~ spl0_71
| ~ spl0_18
| ~ spl0_182
| ~ spl0_194
| spl0_188
| ~ spl0_28
| spl0_221
| ~ spl0_190
| spl0_37
| ~ spl0_16
| spl0_8
| ~ spl0_12 ),
inference(rat,[],[s1737,s828,s2282,s2966,s1824,s733,s2273,s1348,s1447,s3019,s2356,s1443,s3146,s3131,s2044,s1909,s52,s844,s1389,s2773,s333,s2508,s2280,s1753,s1864,s1902,s2660,s1732,s727]) ).
cnf(s3149,plain,
( ~ spl0_181
| ~ spl0_24
| spl0_275
| spl0_188
| spl0_221
| ~ spl0_190
| spl0_37 ),
inference(rat,[],[s2674,s1444,s1979,s1476,s3127,s2977,s1193]) ).
cnf(s3150,plain,
( ~ spl0_71
| ~ spl0_18
| ~ spl0_182
| spl0_275
| spl0_188
| ~ spl0_28
| spl0_221
| ~ spl0_190
| spl0_37
| ~ spl0_16
| spl0_8
| ~ spl0_12 ),
inference(rat,[],[s1737,s828,s2282,s2966,s1824,s733,s2419,s2273,s1348,s1447,s3019,s2356,s3149,s3148,s844,s1389,s1046,s1635,s1753,s1864,s1902,s2660,s1732,s727]) ).
cnf(s3151,plain,
( ~ spl0_18
| ~ spl0_182
| ~ spl0_12
| spl0_275
| spl0_188
| ~ spl0_28
| spl0_221
| ~ spl0_190
| spl0_37
| ~ spl0_16
| spl0_8 ),
inference(rat,[],[s1055,s687,s3150,s727]) ).
cnf(s3152,plain,
( spl0_275
| spl0_188
| ~ spl0_28
| spl0_221
| spl0_186
| ~ spl0_27
| ~ spl0_16
| spl0_17
| spl0_8
| ~ spl0_12 ),
inference(rat,[],[s3151,s2659,s349,s1109,s1864,s1902,s1738,s3147,s9,s40,s747,s1732]) ).
cnf(s3153,plain,
( spl0_186
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s353,s539,s3095,s2598,s2511,s1405,s3152,s2660,s2634,s3144,s3124,s3108,s10,s3026,s13,s3077,s4,s40]) ).
cnf(s3154,plain,
( spl0_274
| spl0_292
| ~ spl0_18
| spl0_24
| ~ spl0_183
| ~ spl0_181
| ~ spl0_184
| ~ spl0_221
| ~ spl0_194
| ~ spl0_38
| spl0_8
| ~ spl0_6 ),
inference(rat,[],[s3084,s1908,s1044,s2736,s1247,s1686,s2740,s1795,s2055,s2224,s2222,s1978,s1273]) ).
cnf(s3155,plain,
( spl0_292
| ~ spl0_18
| spl0_15
| spl0_24
| ~ spl0_183
| ~ spl0_181
| ~ spl0_184
| ~ spl0_221
| ~ spl0_194
| ~ spl0_27
| spl0_8
| ~ spl0_6 ),
inference(rat,[],[s835,s2146,s852,s2591,s2982,s1338,s3154,s1619,s38,s40]) ).
cnf(s3156,plain,
( spl0_24
| ~ spl0_183
| ~ spl0_221
| spl0_275
| ~ spl0_32
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s1845,s1809,s2419,s733,s1635,s1992,s1519,s1415,s2551,s2578,s379,s3071,s2740,s1686,s2568,s784,s2986,s1432,s3155,s2610,s3113,s2659,s349,s1909,s52,s353,s9,s10,s3026,s13,s3077,s4,s1046,s2018,s3030,s1737,s1375,s738,s739,s2356,s1257,s2965,s3153,s727,s1732]) ).
cnf(s3157,plain,
( ~ spl0_24
| ~ spl0_190
| ~ spl0_181
| ~ spl0_184
| ~ spl0_221
| spl0_317
| ~ spl0_194
| spl0_37
| spl0_8 ),
inference(rat,[],[s843,s1758,s1228,s3092,s36]) ).
cnf(s3158,plain,
( spl0_274
| ~ spl0_119
| ~ spl0_200
| spl0_272
| ~ spl0_289
| spl0_59
| ~ spl0_181
| ~ spl0_184
| ~ spl0_194
| ~ spl0_38 ),
inference(rat,[],[s835,s2146,s852,s1573,s1226,s1485,s2730,s733,s1758,s2398,s2222,s727]) ).
cnf(s3159,plain,
( spl0_24
| ~ spl0_221
| ~ spl0_188
| spl0_275
| ~ spl0_32
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s835,s2146,s852,s2591,s2982,s1338,s3158,s2773,s1619,s1661,s1753,s2633,s1566,s2275,s1864,s1902,s1738,s349,s3156,s52,s353,s9,s10,s3026,s13,s3077,s4,s38,s40,s1046,s1737,s1375,s738,s739,s2356,s1257,s2965,s3153,s1732]) ).
cnf(s3160,plain,
( ~ spl0_221
| ~ spl0_188
| spl0_275
| ~ spl0_32
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s1686,s784,s3071,s746,s1228,s36,s3159,s2356,s1737,s1257,s1375,s2965,s738,s739,s3153,s727,s1732]) ).
cnf(s3162,plain,
( spl0_219
| ~ spl0_200
| ~ spl0_181
| ~ spl0_285
| spl0_24
| spl0_221
| ~ spl0_32
| ~ spl0_27
| spl0_17
| ~ spl0_12 ),
inference(rat,[],[s297,s2394,s2623,s1478,s2591,s2256,s2166,s40,s349,s353,s9,s1273]) ).
cnf(s3163,plain,
( ~ spl0_185
| spl0_222 ),
inference(rat,[],[s2026,s2054]) ).
cnf(s3164,plain,
( spl0_274
| ~ spl0_184
| spl0_292
| ~ spl0_181
| ~ spl0_183
| ~ spl0_18
| ~ spl0_285
| spl0_24
| ~ spl0_194
| ~ spl0_38 ),
inference(rat,[],[s2631,s2888,s1635,s1908,s1415,s1044,s2736,s2578,s1247,s379,s1686,s2740,s1795,s2055,s2224,s2222,s1978,s1273]) ).
cnf(s3165,plain,
( spl0_292
| ~ spl0_181
| ~ spl0_183
| ~ spl0_18
| ~ spl0_285
| spl0_24
| spl0_221
| ~ spl0_188
| ~ spl0_194
| ~ spl0_32
| ~ spl0_27
| spl0_17
| ~ spl0_12 ),
inference(rat,[],[s835,s2146,s852,s2591,s2982,s1338,s3164,s1737,s3163,s1698,s3162,s1619,s38,s40,s349,s353,s9,s1732]) ).
cnf(s3166,plain,
( ~ spl0_185
| spl0_199
| ~ spl0_292
| ~ spl0_181
| ~ spl0_285
| ~ spl0_188
| spl0_275
| ~ spl0_27
| ~ spl0_16 ),
inference(rat,[],[s3104,s1978,s2551,s1679,s1963,s1447,s1698,s3163,s2054,s38,s40,s1273]) ).
cnf(s3167,plain,
( spl0_274
| ~ spl0_184
| spl0_314
| ~ spl0_194 ),
inference(rat,[],[s1795,s2224,s1978,s1273]) ).
cnf(s3168,plain,
( ~ spl0_128
| spl0_59
| spl0_290
| ~ spl0_276
| spl0_228
| ~ spl0_71
| ~ spl0_285 ),
inference(rat,[],[s2419,s2966,s1635,s733,s1415,s1992,s2578,s727]) ).
cnf(s3169,plain,
( ~ spl0_191
| ~ spl0_214
| ~ spl0_184
| spl0_275 ),
inference(rat,[],[s2073,s2992,s867,s2773,s1009,s2544]) ).
cnf(s3170,plain,
( ~ spl0_181
| ~ spl0_183
| spl0_24
| spl0_221
| ~ spl0_188
| spl0_275
| ~ spl0_32
| ~ spl0_27
| ~ spl0_16
| spl0_17
| ~ spl0_12 ),
inference(rat,[],[s1992,s733,s2740,s1804,s2925,s3169,s1480,s2591,s2674,s1338,s3167,s3071,s1737,s3166,s1681,s1044,s1686,s3031,s784,s2986,s2598,s1432,s3165,s38,s40,s1046,s1909,s2659,s349,s353,s9,s727,s1732]) ).
cnf(s3171,plain,
( ~ spl0_183
| spl0_24
| ~ spl0_188
| spl0_275
| ~ spl0_32
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s297,s2126,s2620,s1485,s733,s2966,s2419,s830,s1447,s2598,s2631,s1635,s2633,s1661,s252,s2773,s2653,s2544,s2012,s2888,s1044,s3129,s2551,s2054,s1737,s3167,s1679,s1963,s1841,s2268,s2890,s3019,s1257,s2356,s3170,s40,s738,s739,s3153,s1046,s3160,s52,s1909,s2659,s13,s4,s3113,s349,s353,s9,s3077,s10,s3026,s1273,s727,s1732]) ).
cnf(s3172,plain,
( spl0_24
| ~ spl0_188
| spl0_275
| ~ spl0_32
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s835,s2146,s852,s2591,s2982,s1338,s3158,s2773,s1619,s1661,s1737,s2356,s1753,s2633,s3163,s1257,s1566,s2275,s1698,s2268,s1864,s2960,s1902,s1738,s3171,s349,s52,s353,s9,s10,s3026,s13,s3077,s4,s38,s40,s738,s739,s3153,s1046,s3160,s1732]) ).
cnf(s3173,plain,
( spl0_274
| spl0_219
| spl0_232
| ~ spl0_181
| ~ spl0_192
| spl0_275
| ~ spl0_32
| ~ spl0_16
| ~ spl0_12 ),
inference(rat,[],[s1963,s2551,s2077,s2943,s2223,s1978,s1046,s2166,s1273]) ).
cnf(s3175,plain,
( ~ spl0_109
| spl0_24
| spl0_188
| spl0_275
| spl0_186 ),
inference(rat,[],[s2679,s802]) ).
cnf(s3179,plain,
( spl0_219
| ~ spl0_109
| spl0_24
| spl0_221
| ~ spl0_275
| ~ spl0_222 ),
inference(rat,[],[s2622,s1273]) ).
cnf(s3180,plain,
( ~ spl0_212
| ~ spl0_109
| spl0_24
| spl0_219
| ~ spl0_112
| spl0_221 ),
inference(rat,[],[s2620,s1273]) ).
cnf(s3187,plain,
( ~ spl0_212
| ~ spl0_101
| spl0_186
| ~ spl0_180 ),
inference(rat,[],[s2608,s2540]) ).
cnf(s3189,plain,
( ~ spl0_225
| ~ spl0_100
| ~ spl0_97
| spl0_214 ),
inference(rat,[],[s2605,s1273]) ).
cnf(s3191,plain,
( ~ spl0_272
| spl0_289
| spl0_285 ),
inference(rat,[],[s2560,s727]) ).
cnf(s3192,plain,
( ~ spl0_212
| ~ spl0_102
| spl0_196
| ~ spl0_180 ),
inference(rat,[],[s2681,s1193]) ).
cnf(s3195,plain,
( ~ spl0_109
| ~ spl0_37
| ~ spl0_180
| ~ spl0_213
| spl0_285
| spl0_292 ),
inference(rat,[],[s2493,s727]) ).
cnf(s3196,plain,
( ~ spl0_102
| ~ spl0_209 ),
inference(rat,[],[s2682,s1193]) ).
cnf(s3198,plain,
( ~ spl0_102
| ~ spl0_197
| spl0_228
| ~ spl0_185 ),
inference(rat,[],[s2471,s2449,s1304]) ).
cnf(s3207,plain,
( ~ spl0_48
| spl0_196
| spl0_187 ),
inference(rat,[],[s2373,s727]) ).
cnf(s3208,plain,
( spl0_180
| spl0_181 ),
inference(rat,[],[s2356,s1732]) ).
cnf(s3215,plain,
( spl0_200
| spl0_292 ),
inference(rat,[],[s2298,s1193]) ).
cnf(s3217,plain,
( ~ spl0_212
| ~ spl0_109
| spl0_24
| ~ spl0_188
| ~ spl0_197
| ~ spl0_208
| ~ spl0_274
| ~ spl0_182 ),
inference(rat,[],[s2247,s1215]) ).
cnf(s3230,plain,
( ~ spl0_48
| spl0_228
| ~ spl0_185
| ~ spl0_278 ),
inference(rat,[],[s2144,s1193]) ).
cnf(s3254,plain,
( spl0_216
| spl0_274 ),
inference(rat,[],[s1979,s1193]) ).
cnf(s3255,plain,
( spl0_216
| spl0_274 ),
inference(rat,[],[s1978,s1273]) ).
cnf(s3262,plain,
( spl0_182
| spl0_183 ),
inference(rat,[],[s1738,s1732]) ).
cnf(s3263,plain,
( spl0_184
| spl0_185 ),
inference(rat,[],[s1737,s1732]) ).
cnf(s3267,plain,
( spl0_70
| spl0_289 ),
inference(rat,[],[s1637,s727]) ).
cnf(s3271,plain,
( spl0_309
| spl0_310 ),
inference(rat,[],[s1554,s1193]) ).
cnf(s3280,plain,
( spl0_234
| spl0_290 ),
inference(rat,[],[s1482,s1304]) ).
cnf(s3285,plain,
( ~ spl0_130
| ~ spl0_221 ),
inference(rat,[],[s1357,s1193]) ).
cnf(s3287,plain,
( ~ spl0_93
| ~ spl0_202
| ~ spl0_276
| spl0_77 ),
inference(rat,[],[s1347,s1215,s727]) ).
cnf(s3288,plain,
( ~ spl0_93
| ~ spl0_278
| spl0_77
| ~ spl0_182 ),
inference(rat,[],[s1343,s1215,s727]) ).
cnf(s3293,plain,
( ~ spl0_130
| ~ spl0_186 ),
inference(rat,[],[s1118,s727]) ).
cnf(s3299,plain,
( spl0_71
| spl0_77 ),
inference(rat,[],[s1055,s727]) ).
cnf(s3311,plain,
( spl0_225
| spl0_236 ),
inference(rat,[],[s868,s727]) ).
cnf(s3313,plain,
( spl0_187
| spl0_192 ),
inference(rat,[],[s784,s727]) ).
cnf(s3317,plain,
( spl0_206
| spl0_207 ),
inference(rat,[],[s735,s727]) ).
cnf(s3319,plain,
( spl0_203
| spl0_202 ),
inference(rat,[],[s733,s727]) ).
cnf(s3340,plain,
( ~ spl0_202
| ~ spl0_276
| spl0_219
| ~ spl0_183
| spl0_275
| ~ spl0_16 ),
inference(rat,[],[s1964,s2543,s3191,s2740,s2047,s1992,s1485,s1984,s1963]) ).
cnf(s3341,plain,
( ~ spl0_185
| ~ spl0_183
| ~ spl0_181
| spl0_187
| ~ spl0_188
| spl0_275
| ~ spl0_32
| ~ spl0_186
| ~ spl0_27
| spl0_17
| spl0_1 ),
inference(rat,[],[s1381,s2732,s2507,s252,s1020,s2653,s2966,s2671,s3319,s3340,s1044,s3031,s2598,s3215,s2256,s2591,s2982,s2674,s1338,s3173,s3113,s2166,s349,s1698,s1156,s3163,s2054,s9,s10,s3026,s13,s4,s38,s40,s3313]) ).
cnf(s3342,plain,
( ~ spl0_183
| ~ spl0_181
| ~ spl0_36
| ~ spl0_24
| ~ spl0_188
| spl0_275
| ~ spl0_32
| ~ spl0_186
| ~ spl0_27
| spl0_17
| spl0_1 ),
inference(rat,[],[s130,s2646,s1245,s3319,s2740,s3340,s1444,s1587,s2925,s2674,s3169,s3167,s3071,s3263,s3341,s13,s4,s40,s1046,s1686,s3313,s746]) ).
cnf(s3343,plain,
( ~ spl0_181
| ~ spl0_36
| ~ spl0_24
| spl0_221
| ~ spl0_188
| spl0_275
| ~ spl0_32
| ~ spl0_186
| ~ spl0_27
| spl0_17
| spl0_1 ),
inference(rat,[],[s3167,s3263,s1679,s3163,s1444,s1698,s2960,s3262,s3342,s1686,s13,s4,s40,s738,s739,s1046,s3313,s746]) ).
cnf(s3344,plain,
( spl0_241
| ~ spl0_184
| spl0_196
| spl0_187
| ~ spl0_38 ),
inference(rat,[],[s1226,s852,s2730,s2254,s2241,s1770,s1772,s3313,s1081]) ).
cnf(s3345,plain,
( ~ spl0_241
| ~ spl0_183
| spl0_219
| spl0_275
| spl0_37
| ~ spl0_16 ),
inference(rat,[],[s3340,s3319,s2674,s1689,s1349,s1046]) ).
cnf(s3346,plain,
( ~ spl0_71
| spl0_292
| ~ spl0_183
| spl0_187
| ~ spl0_24
| spl0_275
| ~ spl0_6 ),
inference(rat,[],[s2578,s379,s1255,s2740,s1218,s3040,s2545]) ).
cnf(s3347,plain,
( ~ spl0_77
| ~ spl0_183
| spl0_187
| spl0_275
| ~ spl0_27 ),
inference(rat,[],[s2544,s2925,s2773,s2740,s1661,s1247,s2575,s1031,s38,s40]) ).
cnf(s3348,plain,
( ~ spl0_188
| spl0_275
| ~ spl0_32
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s2280,s2633,s1255,s1661,s2992,s2773,s2544,s2888,s1044,s3347,s2890,s3262,s2659,s2960,s16,s1698,s1116,s3019,s3208,s3343,s746,s36,s3172,s3160,s13,s3077,s4,s738,s739,s3153]) ).
cnf(s3349,plain,
( ~ spl0_202
| ~ spl0_276
| ~ spl0_213
| ~ spl0_183
| spl0_187
| spl0_321
| ~ spl0_41 ),
inference(rat,[],[s2568,s2740,s2193,s1992]) ).
cnf(s3350,plain,
( ~ spl0_181
| ~ spl0_183
| ~ spl0_71
| spl0_187
| spl0_321
| spl0_322
| ~ spl0_41
| ~ spl0_282
| spl0_317
| ~ spl0_194
| ~ spl0_186
| ~ spl0_27
| spl0_8
| ~ spl0_6 ),
inference(rat,[],[s1381,s2732,s2507,s252,s1020,s2653,s2966,s2671,s3319,s3349,s2982,s2674,s1338,s2268,s2222,s2169,s40]) ).
cnf(s3351,plain,
( ~ spl0_183
| spl0_24
| spl0_275
| ~ spl0_32
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s297,s2126,s3180,s1485,s3319,s2966,s2419,s1635,s1415,s2992,s252,s2773,s828,s2653,s2544,s3263,s2515,s2888,s3344,s2917,s1350,s2268,s1447,s1257,s3019,s3208,s3350,s3156,s738,s739,s3153,s1046,s1886,s1389,s2044,s52,s2659,s3113,s1044,s3031,s2598,s349,s353,s9,s10,s3026,s2986,s1432,s1909,s2660,s3348,s13,s3077,s4,s38,s40]) ).
cnf(s3352,plain,
( ~ spl0_181
| ~ spl0_87
| spl0_195
| spl0_59
| ~ spl0_71
| spl0_322
| ~ spl0_282
| spl0_317
| ~ spl0_194
| ~ spl0_27 ),
inference(rat,[],[s2671,s3319,s2982,s2599,s1338,s1392,s2222,s2169]) ).
cnf(s3353,plain,
( spl0_24
| spl0_275
| ~ spl0_32
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s2965,s3139,s1257,s3019,s3208,s3352,s2280,s1753,s2653,s130,s1864,s1237,s1902,s3262,s3351,s1044,s3031,s2986,s2598,s3113,s1432,s2044,s349,s1909,s52,s353,s9,s10,s3026,s38,s40,s738,s739,s3153,s1046,s1886,s1389,s2660,s3348,s13,s3077,s4]) ).
cnf(s3354,plain,
( ~ spl0_181
| ~ spl0_192
| ~ spl0_24
| ~ spl0_282
| spl0_317
| spl0_275
| spl0_37 ),
inference(rat,[],[s2054,s2551,s3263,s2943,s3167,s3255,s1679,s1444,s2169,s1686,s1046]) ).
cnf(s3355,plain,
( ~ spl0_191
| ~ spl0_24
| spl0_188
| spl0_275 ),
inference(rat,[],[s1255,s2992,s331,s2773,s2630,s2544]) ).
cnf(s3356,plain,
( spl0_275
| ~ spl0_32
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s130,s3139,s1237,s3262,s2888,s3355,s1044,s3031,s2917,s2598,s2659,s16,s2268,s2965,s1116,s1257,s3019,s3208,s3354,s3313,s746,s36,s3353,s2660,s1389,s3348,s1886,s13,s3077,s4,s38,s40,s738,s739,s3153]) ).
cnf(s3357,plain,
( spl0_219
| ~ spl0_181
| ~ spl0_183
| ~ spl0_200
| spl0_24
| spl0_196
| ~ spl0_32
| ~ spl0_186
| ~ spl0_27
| spl0_17
| spl0_1 ),
inference(rat,[],[s3299,s2012,s3129,s2653,s2551,s3030,s2018,s1679,s3162,s1963,s40,s738,s739,s1909,s2659,s13,s4,s3113,s349,s353,s9,s10,s3026]) ).
cnf(s3358,plain,
( ~ spl0_181
| ~ spl0_32
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s2592,s3319,s2740,s2627,s1247,s3299,s1587,s2888,s3034,s3087,s1338,s1226,s2982,s855,s852,s2258,s3263,s3163,s1698,s3357,s1869,s38,s1081,s2427,s1619,s3262,s3086,s2660,s1432,s1909,s3095,s2511,s40,s1405,s3356,s13,s4,s3077,s10,s3026,s738,s739,s3153]) ).
cnf(s3359,plain,
( ~ spl0_32
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s1952,s2260,s1479,s3263,s1478,s2127,s2394,s297,s3179,s1219,s2965,s1698,s1257,s3019,s3208,s3358,s2660,s1619,s1432,s1909,s3095,s2511,s1405,s3356,s10,s3026,s13,s3077,s4,s40,s738,s739,s3153]) ).
cnf(s3360,plain,
( ~ spl0_181
| spl0_274
| ~ spl0_285
| ~ spl0_188
| ~ spl0_192
| spl0_275
| ~ spl0_16 ),
inference(rat,[],[s1963,s1698,s2551,s3163,s2054,s3263,s3167,s2943,s1686,s1046,s3255]) ).
cnf(s3361,plain,
( spl0_24
| ~ spl0_188
| ~ spl0_28
| ~ spl0_186
| spl0_37
| ~ spl0_16
| spl0_17
| spl0_8
| ~ spl0_12 ),
inference(rat,[],[s2888,s1044,s3262,s759,s1348,s2890,s1257,s3019,s3208,s3360,s3319,s2958,s1443,s2544,s2773,s2659,s3131,s3130,s349,s1909,s353,s9,s1532,s3070,s3313,s130,s3075,s738,s739,s746,s37]) ).
cnf(s3362,plain,
( spl0_274
| spl0_219
| ~ spl0_292
| ~ spl0_71
| ~ spl0_183
| ~ spl0_181
| ~ spl0_24
| ~ spl0_192
| spl0_275
| ~ spl0_16
| ~ spl0_6 ),
inference(rat,[],[s2644,s3319,s1218,s3340,s1255,s1447,s2551,s2578,s379,s3163,s2054,s2740,s3263,s2055,s2943,s3167,s2222,s3255,s1046,s1686]) ).
cnf(s3363,plain,
( spl0_219
| ~ spl0_292
| ~ spl0_71
| ~ spl0_183
| ~ spl0_181
| ~ spl0_24
| ~ spl0_188
| ~ spl0_192
| spl0_275
| spl0_209
| ~ spl0_27
| spl0_17
| spl0_1 ),
inference(rat,[],[s2187,s1834,s2732,s1218,s1020,s2421,s2966,s2591,s3319,s349,s3340,s1108,s2982,s2674,s1338,s3362,s9,s10,s3026,s13,s4,s40]) ).
cnf(s3364,plain,
( ~ spl0_219
| spl0_314
| ~ spl0_188
| ~ spl0_194
| ~ spl0_28
| spl0_8 ),
inference(rat,[],[s2747,s3167,s3163,s1417,s1698,s2268]) ).
cnf(s3365,plain,
( ~ spl0_181
| ~ spl0_188
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s3363,s3346,s1044,s3347,s3262,s2960,s3364,s1686,s3070,s1046,s1532,s738,s739,s3313,s746,s37,s3361,s53,s3359,s3153,s40,s13,s4,s3077,s10,s3026]) ).
cnf(s3366,plain,
( ~ spl0_188
| ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s1661,s2633,s2773,s1652,s2544,s2653,s2888,s2515,s1044,s3347,s2890,s3262,s2659,s2960,s16,s1698,s1116,s3019,s3208,s3365,s10,s3026,s13,s3077,s4,s1532,s3070,s3075,s738,s739,s746,s37,s40,s3153,s53,s3359]) ).
cnf(s3367,plain,
( spl0_24
| ~ spl0_181
| spl0_188
| ~ spl0_194
| ~ spl0_28
| spl0_37
| ~ spl0_16
| spl0_8 ),
inference(rat,[],[s2222,s3131,s2044,s1909,s52]) ).
cnf(s3368,plain,
( ~ spl0_317
| ~ spl0_292
| ~ spl0_67
| spl0_221 ),
inference(rat,[],[s3163,s3139,s3263,s3262,s1597,s1650,s844]) ).
cnf(s3369,plain,
( ~ spl0_181
| spl0_317
| spl0_188
| ~ spl0_192
| spl0_275
| ~ spl0_28
| spl0_37
| ~ spl0_16
| spl0_8 ),
inference(rat,[],[s3354,s3367,s1046,s1389]) ).
cnf(s3370,plain,
( ~ spl0_27
| spl0_8
| spl0_1 ),
inference(rat,[],[s1661,s2773,s2633,s2544,s1652,s2888,s2609,s1044,s765,s2569,s3347,s2659,s3262,s16,s2268,s3139,s1116,s1257,s3019,s3208,s3369,s3368,s2660,s3366,s130,s3313,s3075,s3070,s746,s1532,s37,s53,s3359,s738,s739,s3153,s40,s10,s3026,s13,s3077,s4]) ).
cnf(s3371,plain,
( ~ spl0_274
| spl0_276 ),
inference(rat,[],[s2674,s1894]) ).
cnf(s3372,plain,
( spl0_219
| ~ spl0_308
| ~ spl0_285
| ~ spl0_41
| ~ spl0_181
| spl0_275
| ~ spl0_208
| ~ spl0_188
| ~ spl0_16 ),
inference(rat,[],[s2101,s2986,s3263,s2736,s3167,s3360,s3371,s1963,s1841,s1046]) ).
cnf(s3373,plain,
( ~ spl0_183
| ~ spl0_196
| spl0_191
| spl0_228
| ~ spl0_276
| spl0_187
| spl0_209
| ~ spl0_18
| ~ spl0_285
| spl0_24 ),
inference(rat,[],[s3168,s379,s1044,s2740,s2905,s2925,s2558,s3313,s1519]) ).
cnf(s3374,plain,
( spl0_187
| spl0_209
| ~ spl0_184
| ~ spl0_18
| ~ spl0_38
| spl0_24
| ~ spl0_181
| spl0_199
| spl0_275
| ~ spl0_188
| ~ spl0_16 ),
inference(rat,[],[s1753,s2275,s1864,s1902,s3262,s3373,s1081,s3215,s1481,s2146,s1519,s3169,s1226,s3371,s3071,s3360,s1686,s3313,s1909]) ).
cnf(s3375,plain,
( ~ spl0_187
| ~ spl0_184
| ~ spl0_18
| ~ spl0_285
| spl0_48
| spl0_24
| ~ spl0_181
| spl0_275
| ~ spl0_50 ),
inference(rat,[],[s3371,s1519,s2224,s1481,s1849,s1081,s1432,s1908,s2986,s1046,s1051]) ).
cnf(s3376,plain,
( spl0_24
| ~ spl0_181
| spl0_275
| ~ spl0_188
| spl0_8
| spl0_1 ),
inference(rat,[],[s739,s3374,s2611,s3375,s3263,s3163,s1698,s3372,s2561,s2659,s2587,s3,s349,s1909,s269,s1317,s52,s353,s9,s10,s3026,s13,s3077,s4,s2634,s1051,s2869,s3370]) ).
cnf(s3377,plain,
( ~ spl0_190
| ~ spl0_36
| ~ spl0_24
| ~ spl0_181
| spl0_275
| ~ spl0_208
| ~ spl0_188
| ~ spl0_16 ),
inference(rat,[],[s2748,s1650,s2960,s130,s2965,s3075,s1417,s53,s1886,s3068,s1444,s3371,s3254,s2950,s3313,s2986,s1542]) ).
cnf(s3378,plain,
( spl0_274
| ~ spl0_183
| spl0_219
| ~ spl0_192
| ~ spl0_36
| ~ spl0_24
| ~ spl0_181
| spl0_275
| ~ spl0_16 ),
inference(rat,[],[s2958,s1959,s3319,s331,s3340,s130,s1255,s2551,s1245,s2578,s379,s2054,s2740,s1228,s3263,s2055,s2943,s3167,s2222,s3255,s1046,s1686]) ).
cnf(s3380,plain,
( spl0_191
| ~ spl0_203
| ~ spl0_183
| spl0_219
| spl0_187
| ~ spl0_36
| ~ spl0_181 ),
inference(rat,[],[s1245,s130,s2740,s1359,s2925,s1587]) ).
cnf(s3381,plain,
( ~ spl0_185
| spl0_212
| spl0_217
| ~ spl0_203
| ~ spl0_183
| ~ spl0_186
| ~ spl0_181
| ~ spl0_208 ),
inference(rat,[],[s812,s1559,s1381,s1860,s2507,s252,s3311,s130,s2600,s2958,s1375,s2054]) ).
cnf(s3382,plain,
( spl0_212
| spl0_217
| ~ spl0_208
| ~ spl0_203
| ~ spl0_183
| ~ spl0_186
| ~ spl0_181 ),
inference(rat,[],[s1845,s1809,s3263,s3381]) ).
cnf(s3383,plain,
( ~ spl0_183
| spl0_219
| ~ spl0_186
| spl0_187
| ~ spl0_36
| ~ spl0_24
| ~ spl0_181
| spl0_275
| ~ spl0_208
| ~ spl0_16 ),
inference(rat,[],[s3382,s2047,s1959,s2280,s331,s1255,s2992,s2773,s2544,s3380,s3319,s3340,s3371,s3378,s3313]) ).
cnf(s3384,plain,
( ~ spl0_221
| spl0_314
| ~ spl0_36
| spl0_275
| ~ spl0_208 ),
inference(rat,[],[s3071,s3263,s1228,s1375]) ).
cnf(s3385,plain,
( ~ spl0_219
| spl0_314
| ~ spl0_24
| ~ spl0_194
| ~ spl0_188 ),
inference(rat,[],[s3167,s3263,s3371,s3163,s1444,s1698]) ).
cnf(s3386,plain,
( ~ spl0_181
| spl0_275
| ~ spl0_188
| spl0_8
| spl0_1 ),
inference(rat,[],[s2748,s2960,s3383,s3385,s3384,s747,s3377,s1686,s3313,s2986,s1542,s36,s3376,s13,s3077,s4,s2634,s1046]) ).
cnf(s3387,plain,
( spl0_191
| ~ spl0_183
| spl0_187
| spl0_24
| spl0_196
| ~ spl0_18 ),
inference(rat,[],[s2048,s2740,s3299,s2925,s2888]) ).
cnf(s3388,plain,
( ~ spl0_71
| spl0_217
| spl0_228
| spl0_212
| spl0_321
| ~ spl0_183
| spl0_196
| ~ spl0_6 ),
inference(rat,[],[s1485,s252,s3319,s2653,s2966,s2515]) ).
cnf(s3389,plain,
( spl0_24
| spl0_275
| ~ spl0_188
| spl0_8
| spl0_1 ),
inference(rat,[],[s1159,s2568,s3319,s2740,s2046,s2048,s3299,s3388,s2419,s830,s1447,s2598,s2126,s2631,s297,s1652,s1635,s53,s1415,s3130,s2992,s2773,s2544,s3387,s3262,s2730,s2986,s2960,s2551,s2101,s1375,s2054,s3263,s3167,s3371,s2561,s1963,s3,s1841,s1909,s1883,s269,s52,s3370,s2634,s1046,s1698,s2890,s2659,s349,s1156,s3019,s9,s10,s3026,s13,s3077,s4,s2476,s3208,s3386]) ).
cnf(s3390,plain,
( ~ spl0_241
| ~ spl0_183
| spl0_219
| spl0_275
| ~ spl0_16 ),
inference(rat,[],[s1894,s3345,s1349,s1046]) ).
cnf(s3391,plain,
( ~ spl0_184
| spl0_186
| spl0_241
| spl0_187
| ~ spl0_36 ),
inference(rat,[],[s843,s841,s2241,s2294,s1772,s1584,s3313,s747]) ).
cnf(s3392,plain,
( spl0_292
| spl0_221
| spl0_110
| ~ spl0_190
| ~ spl0_183
| spl0_48
| spl0_187
| ~ spl0_36
| ~ spl0_24
| ~ spl0_18
| spl0_219
| spl0_275
| ~ spl0_208
| ~ spl0_50
| ~ spl0_6 ),
inference(rat,[],[s1959,s2958,s331,s130,s1255,s1245,s2992,s3319,s683,s2773,s2046,s297,s1958,s3299,s53,s1849,s3346,s2250,s1046,s1407]) ).
cnf(s3393,plain,
( ~ spl0_28
| spl0_186
| ~ spl0_183
| spl0_187
| ~ spl0_24
| ~ spl0_18
| spl0_219
| spl0_275
| ~ spl0_208
| spl0_8
| spl0_1 ),
inference(rat,[],[s1255,s331,s2992,s1959,s2773,s2958,s2544,s3319,s1030,s2046,s2567,s3134,s130,s3075,s747,s1375,s3263,s3391,s3390,s13,s3077,s4,s36]) ).
cnf(s3394,plain,
( spl0_186
| ~ spl0_183
| spl0_48
| spl0_187
| ~ spl0_24
| spl0_15
| spl0_219
| spl0_275
| ~ spl0_208
| spl0_8
| spl0_1 ),
inference(rat,[],[s1959,s2958,s331,s3319,s130,s1255,s3340,s1245,s2578,s379,s2465,s683,s2641,s297,s53,s3393,s830,s2598,s3392,s1375,s3263,s3391,s2676,s747,s10,s3026,s2869,s3370,s1046,s2659,s36,s3390,s13,s3077,s4]) ).
cnf(s3395,plain,
( ~ spl0_184
| spl0_221
| ~ spl0_183
| spl0_187
| ~ spl0_36
| ~ spl0_24
| spl0_196
| spl0_219
| spl0_275
| ~ spl0_16 ),
inference(rat,[],[s1959,s331,s2958,s130,s1255,s3319,s1245,s2578,s1031,s3340,s2740,s3299,s2551,s2925,s2888,s855,s3169,s852,s2730,s2254,s2241,s1770,s1772,s1081,s3313,s3390]) ).
cnf(s3396,plain,
( ~ spl0_202
| ~ spl0_183
| ~ spl0_287
| spl0_187
| ~ spl0_24
| spl0_196
| ~ spl0_18
| spl0_219
| ~ spl0_222
| spl0_275
| ~ spl0_6 ),
inference(rat,[],[s369,s2139,s2544,s1447,s2888,s3346,s1044,s2599,s2046,s1984]) ).
cnf(s3397,plain,
( spl0_292
| ~ spl0_203
| ~ spl0_185
| spl0_221
| ~ spl0_183
| spl0_48
| ~ spl0_36
| ~ spl0_24
| spl0_219
| spl0_275
| ~ spl0_50 ),
inference(rat,[],[s2741,s1245,s2655,s130,s1159,s2958,s1959,s2730,s331,s2582,s1255,s2135,s2992,s1893,s2773,s1958,s1849,s1407]) ).
cnf(s3398,plain,
( ~ spl0_139
| ~ spl0_24
| ~ spl0_50
| ~ spl0_6 ),
inference(rat,[],[s2992,s1255,s1042,s1218]) ).
cnf(s3401,plain,
( ~ spl0_207
| ~ spl0_340
| ~ spl0_86
| ~ spl0_191
| ~ spl0_189
| ~ spl0_77
| ~ spl0_24
| ~ spl0_18 ),
inference(rat,[],[s3271,s1844,s2052,s1788,s2347,s1579,s2719,s1011,s2575,s1031]) ).
cnf(s3402,plain,
( ~ spl0_74
| ~ spl0_289
| ~ spl0_77
| ~ spl0_230
| ~ spl0_292
| ~ spl0_183
| spl0_187
| ~ spl0_24
| ~ spl0_18
| spl0_275
| ~ spl0_208
| spl0_8
| spl0_1 ),
inference(rat,[],[s1920,s2347,s2367,s918,s929,s3317,s3401,s2130,s319,s2586,s2077,s331,s1415,s1255,s2992,s1893,s2773,s2544,s2925,s2543,s2740,s1245,s3075,s10,s3026,s13,s3077,s4,s2869,s3370,s36]) ).
cnf(s3403,plain,
( ~ spl0_183
| spl0_187
| ~ spl0_24
| spl0_196
| spl0_219
| ~ spl0_180
| spl0_275
| ~ spl0_208
| spl0_8
| spl0_1 ),
inference(rat,[],[s2925,s2544,s2740,s2773,s2578,s2992,s1255,s331,s1959,s2958,s130,s3402,s1031,s3267,s3299,s2371,s2644,s1447,s2598,s3397,s3319,s3396,s3263,s3395,s2965,s1257,s3394,s2659,s349,s1156,s3019,s9,s10,s3026,s13,s3077,s36,s1407,s3207,s3398,s2869,s3370,s4]) ).
cnf(s3404,plain,
( spl0_275
| ~ spl0_188
| spl0_8
| spl0_1 ),
inference(rat,[],[s2135,s1894,s2377,s1349,s2740,s3391,s1753,s1685,s3263,s1257,s3319,s2275,s3384,s1375,s2965,s1348,s1864,s2960,s1902,s3262,s3403,s1407,s3207,s2986,s1542,s36,s3389,s2890,s2659,s349,s1698,s1156,s3019,s2476,s3208,s3386,s1046,s9,s10,s3026,s13,s3077,s4,s2869,s3370,s2634]) ).
cnf(s3405,plain,
( spl0_219
| ~ spl0_186
| spl0_187
| ~ spl0_184
| ~ spl0_160
| spl0_292
| ~ spl0_38
| ~ spl0_285
| ~ spl0_16
| ~ spl0_6 ),
inference(rat,[],[s2965,s1478,s1257,s1585,s3208,s1772,s3061,s885,s1758,s2730,s1226,s852,s3371,s2258,s1963,s1219,s1619,s3313]) ).
cnf(s3406,plain,
( ~ spl0_202
| ~ spl0_213
| ~ spl0_219
| ~ spl0_308
| ~ spl0_285
| ~ spl0_16 ),
inference(rat,[],[s2045,s1392,s2578,s2599,s2201,s1984]) ).
cnf(s3407,plain,
( spl0_187
| ~ spl0_184
| ~ spl0_160
| ~ spl0_308
| ~ spl0_18
| spl0_292
| ~ spl0_38
| ~ spl0_183
| ~ spl0_285
| ~ spl0_188
| ~ spl0_16
| spl0_8
| ~ spl0_6 ),
inference(rat,[],[s1834,s819,s2187,s2732,s1020,s1845,s3344,s1809,s1689,s3319,s3406,s3208,s1257,s2268,s3405,s739,s2611]) ).
cnf(s3408,plain,
( ~ spl0_202
| spl0_219
| spl0_196
| ~ spl0_18
| spl0_292
| ~ spl0_183
| ~ spl0_16 ),
inference(rat,[],[s2631,s1635,s2888,s2047,s1044,s2599,s2046,s1984]) ).
cnf(s3409,plain,
( spl0_219
| spl0_196
| spl0_209
| ~ spl0_184
| ~ spl0_97
| ~ spl0_18
| spl0_292
| ~ spl0_38
| ~ spl0_183
| ~ spl0_188
| ~ spl0_16
| spl0_8
| ~ spl0_6 ),
inference(rat,[],[s2314,s2208,s2732,s3311,s2187,s3189,s1834,s2508,s331,s1959,s1845,s1809,s1689,s3319,s3408,s1226,s852,s2258,s1219]) ).
cnf(s3410,plain,
( ~ spl0_188
| spl0_8
| spl0_1 ),
inference(rat,[],[s1952,s1951,s1479,s1519,s3371,s1443,s2773,s1401,s2187,s2732,s1020,s1845,s1869,s1809,s3208,s3319,s3019,s3406,s1698,s2268,s3409,s1081,s1908,s2061,s3407,s3263,s2101,s1619,s2394,s2561,s2794,s2659,s1432,s2587,s297,s3,s349,s3262,s1909,s1883,s269,s52,s353,s3086,s1542,s53,s2511,s1532,s1918,s3404,s2634,s9,s10,s3026,s13,s3077,s4,s3370]) ).
cnf(s3411,plain,
( ~ spl0_183
| spl0_290
| spl0_214
| spl0_196
| spl0_228
| spl0_275
| spl0_187
| ~ spl0_18
| ~ spl0_5
| ~ spl0_287
| ~ spl0_285
| spl0_24
| ~ spl0_282
| spl0_1 ),
inference(rat,[],[s2741,s2048,s2655,s3299,s1159,s3388,s2419,s3319,s1652,s1635,s1485,s1415,s2139,s2992,s252,s2773,s130,s2544,s2573,s3387,s4,s10,s3026,s2730]) ).
cnf(s3412,plain,
( spl0_219
| spl0_275
| spl0_24
| spl0_8
| spl0_1 ),
inference(rat,[],[s130,s3139,s1237,s3262,s3411,s1447,s2551,s765,s828,s1375,s3163,s2054,s3208,s3263,s2222,s3167,s3371,s1963,s1841,s1389,s2044,s52,s1407,s1317,s2869,s2659,s349,s353,s9,s10,s3026,s2986,s1432,s1909,s2989,s3018,s3,s269,s2660,s3410,s13,s3077,s4,s3370,s1046]) ).
cnf(s3413,plain,
( ~ spl0_184
| ~ spl0_183
| ~ spl0_196
| ~ spl0_276
| spl0_314
| spl0_275
| spl0_209
| spl0_187
| ~ spl0_18
| ~ spl0_285
| spl0_24 ),
inference(rat,[],[s3373,s1896,s3169,s3071]) ).
cnf(s3414,plain,
( ~ spl0_183
| ~ spl0_196
| ~ spl0_181
| ~ spl0_203
| spl0_275
| spl0_187
| ~ spl0_186
| ~ spl0_18
| ~ spl0_287
| ~ spl0_285
| spl0_24
| spl0_188 ),
inference(rat,[],[s2419,s1635,s3382,s1415,s2139,s2992,s2773,s2544,s3373,s828,s3263,s3413,s739,s2989,s1686,s1519,s3371,s3061,s3313,s2044,s52]) ).
cnf(s3415,plain,
( spl0_275
| spl0_24
| spl0_8
| spl0_1 ),
inference(rat,[],[s3071,s3263,s1226,s1375,s2966,s2958,s2419,s1635,s1044,s1753,s130,s687,s1864,s1237,s1902,s3262,s3414,s1081,s1481,s1519,s3371,s1686,s3061,s3208,s3319,s1257,s3406,s2268,s3412,s1316,s2044,s1407,s1317,s2869,s2587,s2659,s349,s353,s9,s10,s3026,s2561,s52,s2989,s3018,s3,s269,s3370,s3313,s2986,s1432,s1909,s2660,s3410,s13,s3077,s4]) ).
cnf(s3416,plain,
( spl0_24
| spl0_8
| spl0_1 ),
inference(rat,[],[s2511,s1918,s3415,s1432,s1909,s2660,s3410,s13,s3077,s4]) ).
cnf(s3417,plain,
( spl0_219
| ~ spl0_183
| spl0_187
| spl0_275
| spl0_8
| spl0_1 ),
inference(rat,[],[s3403,s3208,s2917,s3383,s1389,s2989,s2990,s1650,s130,s1245,s36,s2659,s349,s394,s2578,s379,s2740,s2925,s3355,s3410,s3416,s9,s10,s3026,s13,s3077,s4]) ).
cnf(s3418,plain,
( ~ spl0_183
| spl0_187
| spl0_275
| spl0_8
| spl0_1 ),
inference(rat,[],[s53,s1653,s39,s1893,s3354,s3208,s1257,s2268,s3417,s2609,s2569,s1650,s130,s1245,s2990,s2740,s2925,s1389,s36,s3355,s3410,s3416,s3313]) ).
cnf(s3419,plain,
( spl0_187
| spl0_275
| spl0_8
| spl0_1 ),
inference(rat,[],[s3354,s1597,s1894,s841,s3167,s3071,s1686,s3263,s3208,s3163,s3019,s2993,s2659,s349,s1109,s1864,s1902,s3262,s3418,s3313,s9,s10,s3026,s2869,s3370,s1389,s2660,s3410,s13,s3077,s4,s36,s3416,s1046]) ).
cnf(s3420,plain,
( ~ spl0_183
| ~ spl0_18
| ~ spl0_187
| spl0_275
| ~ spl0_36
| ~ spl0_24
| ~ spl0_292
| spl0_188
| ~ spl0_50 ),
inference(rat,[],[s3230,s828,s1407,s3263,s2135,s3167,s2585,s2485,s3371,s1447,s2556,s3019,s3208,s3149,s3062,s39,s53,s130,s297,s751,s2980,s1030,s1046,s3355,s747,s2676,s746,s2688,s1432,s2986]) ).
cnf(s3421,plain,
( spl0_275
| spl0_8
| spl0_1 ),
inference(rat,[],[s1933,s1830,s1476,s2951,s53,s297,s2641,s2462,s1822,s2518,s3263,s3208,s2280,s3163,s3019,s1753,s2993,s1244,s1864,s1902,s3262,s3420,s2659,s349,s2676,s747,s1105,s3095,s1432,s746,s2986,s3419,s9,s10,s3026,s2869,s3370,s1389,s2660,s3410,s13,s3077,s4,s36,s3416]) ).
cnf(s3422,plain,
( ~ spl0_181
| spl0_219
| ~ spl0_183
| spl0_187
| ~ spl0_275
| ~ spl0_36
| ~ spl0_282 ),
inference(rat,[],[s844,s3030,s2989,s1597,s3391,s3263,s3163,s1700,s3061,s2055,s2740,s1245,s130,s1650,s2169,s3313,s1350]) ).
cnf(s3423,plain,
( spl0_219
| ~ spl0_183
| spl0_187
| ~ spl0_18
| ~ spl0_275
| ~ spl0_36
| ~ spl0_292
| ~ spl0_282
| ~ spl0_50 ),
inference(rat,[],[s1407,s2136,s3207,s1447,s765,s3019,s3208,s3422]) ).
cnf(s3424,plain,
( ~ spl0_322
| ~ spl0_219
| ~ spl0_183
| ~ spl0_18
| spl0_330
| ~ spl0_275
| ~ spl0_36
| ~ spl0_24
| spl0_188
| ~ spl0_50
| ~ spl0_6 ),
inference(rat,[],[s1758,s2730,s3263,s2551,s828,s855,s2348,s2130,s319,s2586,s1532,s2989,s2990,s2740,s2055,s1918,s1444]) ).
cnf(s3425,plain,
( ~ spl0_183
| spl0_187
| ~ spl0_18
| spl0_330
| ~ spl0_275
| ~ spl0_36
| ~ spl0_24
| ~ spl0_292
| spl0_188
| ~ spl0_50
| ~ spl0_6 ),
inference(rat,[],[s2348,s2982,s2462,s1332,s397,s3207,s357,s1407,s2136,s1447,s3019,s3208,s3061,s3424,s3371,s1444,s3423,s1389,s3313]) ).
cnf(s3426,plain,
( ~ spl0_182
| ~ spl0_230
| ~ spl0_275
| ~ spl0_292
| ~ spl0_50 ),
inference(rat,[],[s1407,s508,s2353,s3288,s1753,s1244,s1864,s1902,s1915,s1918]) ).
cnf(s3427,plain,
( ~ spl0_181
| spl0_219
| ~ spl0_136
| ~ spl0_190
| ~ spl0_183
| ~ spl0_43
| spl0_139
| ~ spl0_36
| ~ spl0_292
| spl0_199
| spl0_188 ),
inference(rat,[],[s1933,s1830,s3263,s3163,s1447,s1481,s1081,s818,s2732,s2575,s1559,s2672,s1860,s2655,s3311,s3319,s1254,s1239,s2507,s252,s130,s2965,s1650,s2948,s2977,s1822,s2169,s1389,s1476]) ).
cnf(s3428,plain,
( spl0_219
| ~ spl0_136
| ~ spl0_187
| ~ spl0_183
| ~ spl0_18
| ~ spl0_275
| spl0_139
| ~ spl0_36
| ~ spl0_292
| spl0_199
| spl0_188
| ~ spl0_50
| ~ spl0_12 ),
inference(rat,[],[s1933,s1830,s3263,s828,s2408,s2462,s397,s357,s1407,s2136,s2273,s1447,s3019,s3208,s3427,s1476,s1389,s2688,s1432,s1915,s1918,s747,s746]) ).
cnf(s3429,plain,
( spl0_214
| ~ spl0_243
| ~ spl0_196
| ~ spl0_213
| ~ spl0_136
| ~ spl0_187
| ~ spl0_183
| ~ spl0_43
| spl0_139
| ~ spl0_36
| ~ spl0_24
| ~ spl0_12 ),
inference(rat,[],[s1239,s3319,s130,s2655,s751,s2672,s2624,s3064,s2061,s746]) ).
cnf(s3430,plain,
( ~ spl0_214
| ~ spl0_184
| spl0_315
| ~ spl0_36
| spl0_188 ),
inference(rat,[],[s1427,s1812,s841,s1389]) ).
cnf(s3431,plain,
( spl0_243
| ~ spl0_219
| spl0_15
| spl0_37
| ~ spl0_24
| ~ spl0_50 ),
inference(rat,[],[s357,s1407,s397,s2135,s2462,s2351,s2348,s2591,s2982]) ).
cnf(s3432,plain,
( ~ spl0_185
| ~ spl0_18
| ~ spl0_275
| ~ spl0_292
| spl0_188
| ~ spl0_50 ),
inference(rat,[],[s1407,s2136,s3230,s1447,s828,s3163,s1915,s1918]) ).
cnf(s3433,plain,
( ~ spl0_202
| ~ spl0_243
| ~ spl0_213
| ~ spl0_187
| ~ spl0_183
| spl0_139
| ~ spl0_36
| ~ spl0_12 ),
inference(rat,[],[s751,s130,s2624,s1239,s2627]) ).
cnf(s3435,plain,
( spl0_8
| spl0_1 ),
inference(rat,[],[s3311,s823,s2208,s852,s2314,s2254,s2732,s1590,s3429,s2633,s2187,s841,s3191,s1567,s2294,s2654,s1584,s2592,s1685,s1689,s3319,s3433,s3263,s3432,s3431,s3371,s1444,s2268,s3428,s2740,s2990,s747,s746,s2061,s3425,s3262,s3426,s2659,s349,s2077,s2688,s1105,s3095,s1432,s1915,s1918,s3421,s3398,s36,s3416,s2660,s1316,s3410,s2869,s3370,s13,s3077,s4,s9,s10,s3026]) ).
cnf(s3436,plain,
( ~ spl0_183
| spl0_275
| spl0_1 ),
inference(rat,[],[s1846,s1958,s2773,s2992,s1415,s2077,s1652,s1887,s1934,s2013,s10,s3026,s1496,s331,s2572,s1242,s52,s1241,s3435]) ).
cnf(s3437,plain,
( spl0_186
| spl0_292
| spl0_49
| spl0_1 ),
inference(rat,[],[s3060,s3037,s2735,s10,s3026,s1241,s13,s2660,s1496,s3435,s4]) ).
cnf(s3438,plain,
( ~ spl0_27
| ~ spl0_77
| ~ spl0_67
| ~ spl0_186
| ~ spl0_17
| spl0_292
| ~ spl0_25 ),
inference(rat,[],[s863,s3000,s3033,s2989]) ).
cnf(s3439,plain,
( spl0_292
| ~ spl0_182
| spl0_1 ),
inference(rat,[],[s2250,s1407,s282,s2869,s3438,s2746,s130,s1237,s2989,s3437,s13,s2660,s1496,s27,s1317,s1241,s3435,s4,s1013,s1864,s1902]) ).
cnf(s3440,plain,
( spl0_187
| ~ spl0_182
| spl0_1 ),
inference(rat,[],[s3319,s1239,s2966,s2965,s3049,s3060,s3023,s2735,s2989,s1237,s2746,s1044,s1244,s2598,s42,s2666,s3313,s10,s3026,s1496,s52,s1241,s1959,s331,s1497,s1013,s13,s2280,s1753,s3439,s1864,s1902,s1242,s3435,s4]) ).
cnf(s3441,plain,
( spl0_275
| spl0_1 ),
inference(rat,[],[s3319,s2966,s1348,s1044,s830,s3163,s1244,s3263,s2598,s1830,s72,s1887,s73,s2077,s2688,s1432,s2986,s3440,s3439,s1013,s1864,s1902,s3262,s3436,s10,s3026,s1389,s1496,s52,s1317,s1241,s4,s1959,s331,s1242,s1497,s3435]) ).
cnf(s3442,plain,
( ~ spl0_128
| spl0_292
| spl0_1 ),
inference(rat,[],[s2794,s3,s1968,s2505,s22,s1415,s1247,s2048,s2578,s1241,s1918,s3441,s1652,s1934,s2013,s1496,s331,s10,s3026,s1031,s3299,s2545,s3262,s3439,s1218,s1242,s3435,s4]) ).
cnf(s3443,plain,
( spl0_28
| ~ spl0_58
| ~ spl0_321
| ~ spl0_17 ),
inference(rat,[],[s1661,s1653,s282,s53]) ).
cnf(s3444,plain,
( spl0_292
| spl0_1 ),
inference(rat,[],[s872,s2965,s3437,s3023,s746,s37,s3443,s2925,s2740,s3442,s2575,s1031,s3299,s1934,s2545,s2013,s3262,s13,s3439,s2660,s1218,s4,s2630,s331,s1242,s1496,s3435,s1918,s3441]) ).
cnf(s3446,plain,
( spl0_27
| spl0_1 ),
inference(rat,[],[s3,s2794,s269,s4,s1241,s3435,s1968,s1432,s3444,s1915,s1918,s3441,s3026]) ).
cnf(s3447,plain,
spl0_1,
inference(rat,[],[s3317,s2098,s1007,s42,s2722,s2598,s1405,s3446,s3444,s1915,s1918,s3441,s1222,s52,s1240,s1241,s1496,s3435,s9,s10,s3026,s4]) ).
cnf(s3448,plain,
~ spl0_8,
inference(rat,[],[s373,s3447]) ).
cnf(s3449,plain,
spl0_9,
inference(rat,[],[s2595,s3448,s3447]) ).
cnf(s3450,plain,
( ~ spl0_27
| ~ spl0_186
| ~ spl0_17
| spl0_187
| spl0_24
| spl0_275
| ~ spl0_183
| spl0_292 ),
inference(rat,[],[s3038,s3347,s3448]) ).
cnf(s3451,plain,
( ~ spl0_17
| spl0_187
| spl0_48
| spl0_24
| spl0_275
| ~ spl0_183
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s2250,s1407,s282,s2869,s3450,s2735,s2427,s2884,s2634,s2011,s3447,s3448]) ).
cnf(s3454,plain,
( ~ spl0_17
| spl0_196
| ~ spl0_187
| spl0_24
| spl0_292 ),
inference(rat,[],[s130,s3438,s1969,s3038,s282,s2424,s746,s2735,s2809,s27,s3449,s3448]) ).
cnf(s3457,plain,
( ~ spl0_17
| spl0_187
| spl0_24
| spl0_275
| ~ spl0_183
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s3207,s2427,s3451,s2884,s2011,s3447]) ).
cnf(s3459,plain,
( ~ spl0_219
| ~ spl0_4
| spl0_199
| ~ spl0_188
| ~ spl0_200 ),
inference(rat,[],[s2749,s2146,s3019,s1745,s1698,s2268,s3448]) ).
cnf(s3460,plain,
( ~ spl0_214
| ~ spl0_341
| ~ spl0_191
| spl0_275
| spl0_292 ),
inference(rat,[],[s2747,s2582,s3169]) ).
cnf(s3461,plain,
( ~ spl0_71
| spl0_187
| spl0_24
| spl0_275
| ~ spl0_183
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s3319,s1485,s2958,s3192,s1375,s3208,s3263,s1426,s3071,s3460,s1959,s1841,s3459,s130,s241,s1955,s10,s379,s2135,s1468,s2479,s2475,s1407,s2242,s1875,s2572,s331,s2869,s2688,s1382,s1661,s1415,s2633,s2992,s1893,s2865,s3267,s2773,s2631,s2544,s2515,s2888,s3207,s2427,s3196,s2200,s2545,s1681,s1619,s2634,s2011,s52,s3313,s2459,s3457,s3447,s3448]) ).
cnf(s3462,plain,
( ~ spl0_196
| spl0_230 ),
inference(rat,[],[s1395,s1406]) ).
cnf(s3463,plain,
( spl0_186
| spl0_217
| spl0_219
| ~ spl0_341
| ~ spl0_32
| ~ spl0_112
| ~ spl0_67
| spl0_59
| spl0_24
| spl0_275
| ~ spl0_183
| ~ spl0_208
| spl0_292 ),
inference(rat,[],[s1485,s3319,s3180,s2958,s1375,s3263,s3071,s3460,s1030,s297,s2567,s2676,s747,s1841,s52]) ).
cnf(s3464,plain,
( ~ spl0_202
| spl0_15
| ~ spl0_112
| ~ spl0_287
| ~ spl0_77 ),
inference(rat,[],[s2139,s2591,s2599,s2627,s1031]) ).
cnf(s3465,plain,
( ~ spl0_4
| spl0_187
| spl0_24
| spl0_275
| ~ spl0_183
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s2749,s1869,s1257,s2959,s2965,s2958,s3319,s3464,s3463,s1959,s3459,s15,s1619,s1081,s130,s1969,s331,s1051,s53,s2250,s2634,s2135,s1893,s2773,s1807,s2572,s1382,s2575,s1031,s1987,s1407,s2869,s3347,s3299,s3461,s3207,s3462,s2011,s3449,s3447,s3448]) ).
cnf(s3466,plain,
( spl0_187
| spl0_24
| spl0_275
| ~ spl0_183
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s2631,s2571,s1635,s1247,s1415,s2587,s2688,s1875,s349,s2479,s9,s10,s3465,s2992,s2773,s1807,s2572,s130,s2869,s1382,s1969,s3347,s2575,s1031,s3299,s3461,s3457,s2459,s3313,s1987,s353,s27,s3447,s3449]) ).
cnf(s3468,plain,
( ~ spl0_212
| ~ spl0_289
| ~ spl0_102
| spl0_199
| spl0_196
| ~ spl0_200 ),
inference(rat,[],[s2749,s2146,s3192,s1573]) ).
cnf(s3469,plain,
( ~ spl0_4
| spl0_221
| ~ spl0_203
| spl0_59
| ~ spl0_86
| ~ spl0_289
| spl0_199
| ~ spl0_188
| ~ spl0_200 ),
inference(rat,[],[s130,s2958,s241,s1959,s1955,s3459]) ).
cnf(s3470,plain,
( spl0_219
| spl0_330
| ~ spl0_203
| ~ spl0_227
| ~ spl0_58
| ~ spl0_71
| ~ spl0_187
| ~ spl0_41
| ~ spl0_183 ),
inference(rat,[],[s1860,s1559,s3208,s2556,s3311,s3371,s823,s2395,s2966,s2642,s1959,s331,s1382,s3447]) ).
cnf(s3471,plain,
( ~ spl0_71
| spl0_24
| spl0_275
| ~ spl0_183
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s3280,s2900,s3208,s2591,s2982,s3019,s1750,s1698,s3470,s2077,s10,s3469,s2959,s1364,s3319,s1485,s3468,s379,s2475,s2572,s331,s2869,s2732,s1382,s1661,s1796,s1415,s2633,s2992,s2865,s3267,s2773,s2631,s2544,s2200,s2515,s2888,s2545,s1681,s1619,s2634,s1081,s3462,s2011,s52,s3466,s3447,s3449,s3448]) ).
cnf(s3472,plain,
( ~ spl0_119
| spl0_272
| spl0_275
| ~ spl0_183 ),
inference(rat,[],[s1846,s1958]) ).
cnf(s3473,plain,
( ~ spl0_202
| spl0_15
| spl0_199
| ~ spl0_112
| ~ spl0_77
| ~ spl0_187
| ~ spl0_200 ),
inference(rat,[],[s2462,s2408,s397,s3208,s357,s2146,s1407,s2591,s2982,s3464,s2627,s2869,s1661,s2575,s1031]) ).
cnf(s3474,plain,
( ~ spl0_4
| spl0_199
| ~ spl0_112
| ~ spl0_77
| ~ spl0_187
| ~ spl0_183
| ~ spl0_188
| ~ spl0_200 ),
inference(rat,[],[s1759,s1770,s852,s3263,s1386,s1375,s2958,s1689,s3319,s3473,s1959,s3459,s15,s2634,s1081,s3462,s2011,s130,s1969,s331,s1382,s2575,s1031,s3449,s3447,s3448]) ).
cnf(s3475,plain,
( ~ spl0_221
| spl0_241
| ~ spl0_188 ),
inference(rat,[],[s1759,s1770,s852,s3263,s1386,s1375,s2634,s1081,s3462,s2011,s3449,s3447,s3448]) ).
cnf(s3476,plain,
( spl0_24
| spl0_275
| ~ spl0_183
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s3019,s3208,s1698,s1020,s1959,s2958,s3475,s1689,s3319,s3473,s349,s9,s10,s3474,s1051,s2732,s2869,s1796,s1661,s2992,s2773,s3472,s2572,s331,s130,s1382,s1969,s2575,s1031,s3299,s3471,s3454,s3466,s353,s1619,s3462,s2011,s3447,s3449]) ).
cnf(s3477,plain,
( ~ spl0_202
| spl0_212 ),
inference(rat,[],[s2599,s1984]) ).
cnf(s3478,plain,
( ~ spl0_71
| spl0_275
| ~ spl0_183
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s1009,s3263,s3311,s3397,s823,s3475,s2966,s1689,s3319,s3477,s1959,s1698,s3019,s3208,s1426,s3460,s2135,s1468,s1407,s2242,s331,s2869,s2688,s1255,s2505,s3468,s1415,s2633,s2992,s1893,s2865,s3267,s2773,s2631,s2544,s2200,s2888,s2545,s1681,s1619,s36,s1097,s3313,s3207,s2986,s1542,s3476,s3462,s2011,s3447,s3448]) ).
cnf(s3479,plain,
( ~ spl0_219
| ~ spl0_50
| spl0_15
| spl0_37
| ~ spl0_24 ),
inference(rat,[],[s1750,s3431,s3447]) ).
cnf(s3480,plain,
( spl0_275
| ~ spl0_183
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s3479,s1959,s2958,s3475,s1689,s3319,s3464,s69,s545,s1893,s2773,s1958,s1849,s1407,s331,s130,s2869,s1382,s1969,s3347,s2575,s1031,s3299,s3478,s3207,s2986,s736,s1542,s3476,s3462,s2011,s3447,s3449]) ).
cnf(s3481,plain,
( spl0_219
| spl0_221
| ~ spl0_203
| ~ spl0_58
| ~ spl0_191
| ~ spl0_71
| spl0_24
| ~ spl0_275
| ~ spl0_208 ),
inference(rat,[],[s297,s3179,s2127,s3163,s3263,s1009,s3311,s823,s2966,s1959,s53,s1532,s331,s1382,s3447]) ).
cnf(s3482,plain,
( ~ spl0_71
| ~ spl0_183
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s2146,s3208,s2591,s3019,s1750,s1698,s3481,s3475,s1689,s3319,s3477,s3468,s2633,s2865,s3267,s2631,s2200,s2888,s2545,s1681,s1619,s2634,s3462,s2011,s1542,s1915,s1918,s3480,s3447,s3448]) ).
cnf(s3483,plain,
( spl0_290
| spl0_228
| ~ spl0_275
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s1759,s1770,s3263,s2127,s297,s3179,s1698,s3019,s3208,s3475,s2900,s1585,s1479,s1619,s1081,s3462,s2011,s53,s1532,s2634,s1542,s1915,s1918,s852,s3448,s3447]) ).
cnf(s3484,plain,
( spl0_243
| ~ spl0_275
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s863,s349,s9,s3475,s10,s1351,s15,s2591,s3483,s2982,s1619,s353,s1542,s1915,s1918]) ).
cnf(s3485,plain,
( ~ spl0_183
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s3475,s1689,s2958,s3319,s1959,s2627,s1750,s3484,s331,s130,s1382,s1969,s2575,s1031,s3299,s3482,s3480,s3449,s3447]) ).
cnf(s3486,plain,
( spl0_235
| ~ spl0_203
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s2258,s852,s3263,s2982,s3163,s1750,s1698,s1959,s2958,s2959,s130,s1237,s2634,s331,s1834,s1864,s1902,s3262,s3485,s3447,s3449,s3448]) ).
cnf(s3487,plain,
( ~ spl0_203
| spl0_24
| ~ spl0_194
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s1875,s2479,s2688,s2459,s10,s1519,s2556,s1745,s3371,s2735,s1585,s1349,s1257,s3475,s2965,s2958,s1959,s1698,s3019,s3208,s1869,s3486,s1619,s1081,s3462,s2011,s130,s1237,s2634,s331,s1834,s1864,s1902,s3262,s3485,s3448,s3447]) ).
cnf(s3488,plain,
( spl0_24
| ~ spl0_194
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s2250,s1407,s53,s508,s2869,s297,s3287,s1338,s3217,s3371,s3167,s1841,s2627,s1750,s2230,s2982,s852,s2258,s1869,s3263,s3208,s3163,s3019,s1348,s2599,s3319,s3487,s52,s2634,s1081,s3462,s2011,s1864,s1902,s3262,s3485,s3447,s3449,s3448]) ).
cnf(s3489,plain,
( ~ spl0_203
| spl0_275
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s2641,s297,s2869,s10,s53,s2505,s1745,s1417,s1894,s2676,s1585,s1349,s1257,s2460,s3475,s2965,s1098,s2958,s1959,s1698,s3019,s3208,s1869,s3486,s1619,s1081,s3462,s2011,s130,s1237,s2634,s331,s1834,s1864,s1902,s3262,s3485,s36,s1097,s3488,s1046,s3449,s3447,s3448]) ).
cnf(s3490,plain,
( spl0_275
| ~ spl0_188
| spl0_292 ),
inference(rat,[],[s1573,s2249,s2146,s1407,s1051,s2869,s2505,s1894,s3167,s1686,s3263,s3208,s3163,s3019,s1348,s2599,s3319,s3489,s3207,s3313,s2986,s1097,s1542,s3488,s1046,s1619,s3462,s2011,s1902,s3262,s3485,s3447]) ).
cnf(s3491,plain,
( ~ spl0_188
| spl0_292 ),
inference(rat,[],[s3086,s1542,s53,s1915,s1532,s1918,s3490,s3262,s3485,s2634,s3448]) ).
cnf(s3492,plain,
( spl0_186
| ~ spl0_221
| spl0_24
| ~ spl0_183
| spl0_275
| spl0_188 ),
inference(rat,[],[s2508,s333,s331,s2773,s2630,s2544,s1030,s2567,s130,s3062,s37,s39,s53,s297,s3175,s2676,s747,s3448]) ).
cnf(s3493,plain,
( ~ spl0_221
| spl0_24
| ~ spl0_183
| spl0_275
| spl0_292 ),
inference(rat,[],[s1869,s3208,s1081,s2959,s1257,s1651,s2989,s3492,s2965,s3491,s3449]) ).
cnf(s3496,plain,
( ~ spl0_191
| spl0_292 ),
inference(rat,[],[s2633,s1382,s2865,s3267,s331,s2631,s2630,s3491,s3447]) ).
cnf(s3497,plain,
( ~ spl0_196
| spl0_59
| spl0_24
| ~ spl0_183
| spl0_275
| spl0_292 ),
inference(rat,[],[s2505,s2869,s1223,s1042,s2925,s2545,s2740,s1044,s333,s1245,s1969,s2507,s37,s39,s130,s53,s2567,s297,s1030,s3175,s2676,s747,s1651,s3491,s3496,s3449]) ).
cnf(s3498,plain,
( ~ spl0_202
| spl0_24
| ~ spl0_183
| spl0_275
| spl0_292 ),
inference(rat,[],[s3464,s69,s1407,s357,s397,s2465,s3263,s2258,s1035,s3371,s2869,s1992,s1661,s2740,s2773,s1964,s3472,s852,s2569,s2572,s2982,s130,s1382,s2627,s1969,s2575,s3299,s2888,s3497,s1016,s2599,s1984,s3491,s3496,s3447,s3449]) ).
cnf(s3499,plain,
( ~ spl0_196
| spl0_24
| ~ spl0_183
| spl0_275
| spl0_292 ),
inference(rat,[],[s2567,s130,s1030,s252,s747,s3497,s1651,s3496,s3449]) ).
cnf(s3500,plain,
( spl0_24
| ~ spl0_183
| spl0_275
| spl0_292 ),
inference(rat,[],[s812,s1020,s2187,s3208,s2683,s1257,s739,s3263,s747,s2268,s2282,s2091,s1030,s1959,s1824,s2609,s2647,s2958,s1755,s2569,s331,s130,s1382,s1969,s2575,s1031,s3299,s2888,s3499,s3319,s3498,s844,s3493,s1389,s3491,s3496,s3448,s3447,s3449]) ).
cnf(s3501,plain,
( spl0_186
| ~ spl0_183
| spl0_275
| spl0_292 ),
inference(rat,[],[s1042,s2869,s2545,s2505,s1044,s333,s39,s1969,s2507,s252,s53,s130,s297,s2567,s683,s1030,s2990,s2676,s747,s3491,s3496,s1046,s36,s1097,s3500,s3449,s3447,s3448]) ).
cnf(s3502,plain,
( ~ spl0_183
| spl0_275
| spl0_292 ),
inference(rat,[],[s3319,s2958,s3464,s1959,s69,s2268,s2965,s1022,s1257,s3019,s3208,s3354,s1893,s2773,s1958,s1407,s1849,s1650,s331,s2869,s130,s1382,s3347,s1969,s2575,s1031,s3299,s3313,s2888,s2372,s746,s1651,s3293,s3501,s36,s3500,s1389,s3491,s3496,s3448,s3447,s3449]) ).
cnf(s3503,plain,
( ~ spl0_181
| ~ spl0_28
| ~ spl0_190
| spl0_322
| ~ spl0_194
| spl0_188 ),
inference(rat,[],[s2965,s1417,s3146,s2222,s3448]) ).
cnf(s3504,plain,
( ~ spl0_196
| spl0_24
| spl0_275
| spl0_292 ),
inference(rat,[],[s2591,s1365,s2421,s2200,s3198,s3263,s2258,s1364,s852,s3319,s2982,s1348,s1332,s3019,s3208,s3503,s53,s1044,s297,s1244,s3175,s2676,s747,s3462,s1651,s1046,s1864,s1902,s3262,s3502,s2044,s52,s3491,s3449]) ).
cnf(s3505,plain,
( spl0_222
| ~ spl0_224
| spl0_292 ),
inference(rat,[],[s1597,s2169,s844,s1750,s1386,s2982,s852,s2258,s1869,s3263,s3208,s3163,s3019,s1389,s3491,s3447,s3449]) ).
cnf(s3506,plain,
( ~ spl0_71
| ~ spl0_221
| spl0_24
| spl0_275
| spl0_292 ),
inference(rat,[],[s331,s1959,s2508,s1750,s3050,s2591,s53,s1365,s2421,s297,s2200,s3175,s2676,s3198,s2989,s3263,s2959,s2258,s2966,s1364,s3491,s1864,s1902,s3319,s1348,s3505,s1081,s3504,s3262,s3502,s2965,s852,s1386,s3448,s3447,s3449]) ).
cnf(s3508,plain,
( ~ spl0_186
| ~ spl0_221
| ~ spl0_224
| spl0_292 ),
inference(rat,[],[s1869,s3208,s2959,s1257,s2989,s2965,s3449]) ).
cnf(s3509,plain,
( ~ spl0_221
| spl0_24
| spl0_275
| spl0_292 ),
inference(rat,[],[s1959,s2376,s1750,s2377,s2591,s2135,s2355,s69,s1407,s2869,s1661,s2773,s2730,s2398,s2372,s1228,s1417,s37,s39,s53,s297,s3175,s2676,s3508,s2572,s331,s130,s1382,s1969,s2575,s3299,s3506,s2965,s3285,s3491,s1013,s1864,s1902,s27,s3319,s1348,s3505,s1081,s3504,s3262,s3502,s3447,s3449]) ).
cnf(s3510,plain,
( spl0_214
| spl0_217
| ~ spl0_136
| ~ spl0_203 ),
inference(rat,[],[s1159,s2655,s2730]) ).
cnf(s3511,plain,
( spl0_217
| ~ spl0_74
| ~ spl0_71
| ~ spl0_36
| spl0_37
| ~ spl0_180
| spl0_186
| spl0_241
| ~ spl0_203
| spl0_292 ),
inference(rat,[],[s2135,s2582,s1407,s3263,s2869,s3391,s2505,s2556,s1226,s2551,s3510,s855,s2966,s2372,s2689,s2740,s1245,s3449]) ).
cnf(s3512,plain,
( ~ spl0_50
| ~ spl0_185
| ~ spl0_276
| ~ spl0_136
| spl0_112
| spl0_48
| spl0_77
| ~ spl0_71
| spl0_37
| ~ spl0_203
| spl0_292 ),
inference(rat,[],[s2672,s2688,s2655,s1519,s2582,s2421,s2135,s1042,s1407]) ).
cnf(s3513,plain,
( ~ spl0_74
| ~ spl0_71
| ~ spl0_28
| ~ spl0_180
| spl0_186
| spl0_241
| ~ spl0_203
| ~ spl0_182
| spl0_292 ),
inference(rat,[],[s2591,s1365,s2421,s2200,s3198,s2982,s1338,s2869,s3512,s3263,s3391,s2556,s3371,s1443,s3511,s2773,s2740,s333,s2372,s1245,s1969,s2507,s2689,s1864,s1902,s37,s39,s3449]) ).
cnf(s3514,plain,
( ~ spl0_67
| spl0_219
| spl0_221
| ~ spl0_203
| ~ spl0_197
| spl0_188 ),
inference(rat,[],[s2683,s3263,s2091,s2282,s2652,s1824,s2646,s1755,s1389,s844]) ).
cnf(s3515,plain,
( spl0_219
| spl0_24
| spl0_275
| spl0_292 ),
inference(rat,[],[s3513,s53,s3208,s297,s2977,s3175,s2676,s747,s2989,s3299,s1237,s1969,s130,s3514,s1350,s1476,s1389,s3491,s1864,s1902,s3319,s1348,s3505,s1081,s3504,s3262,s3502,s3509,s3449]) ).
cnf(s3516,plain,
( ~ spl0_71
| spl0_243
| ~ spl0_203
| ~ spl0_197
| spl0_292 ),
inference(rat,[],[s2591,s1365,s2421,s2200,s3198,s3263,s2258,s1364,s852,s2982]) ).
cnf(s3517,plain,
( ~ spl0_48
| ~ spl0_185
| spl0_228
| spl0_196 ),
inference(rat,[],[s2986,s3230,s3207]) ).
cnf(s3518,plain,
( ~ spl0_28
| spl0_48
| spl0_272
| ~ spl0_58
| spl0_243
| ~ spl0_213
| ~ spl0_203
| spl0_49 ),
inference(rat,[],[s2591,s2355,s69,s1407,s2869,s1661,s2773,s2398,s1417]) ).
cnf(s3519,plain,
( spl0_186
| ~ spl0_32
| spl0_24
| spl0_275
| spl0_188 ),
inference(rat,[],[s297,s3175,s2676]) ).
cnf(s3520,plain,
( spl0_24
| spl0_275
| spl0_292 ),
inference(rat,[],[s2591,s2727,s3280,s2900,s3208,s1257,s3519,s53,s3518,s3517,s3263,s2282,s1824,s1755,s2572,s130,s1382,s1969,s2575,s3299,s3516,s2982,s1750,s2268,s3515,s844,s3509,s3319,s1348,s3505,s1081,s3504,s1389,s3491,s1013,s1864,s1902,s3262,s3502,s3447,s3449,s3448]) ).
cnf(s3521,plain,
( spl0_222
| spl0_275
| spl0_292 ),
inference(rat,[],[s1886,s3157,s53,s1894,s1824,s3503,s2222,s2226,s1758,s2730,s3430,s1822,s747,s1651,s1081,s3263,s3208,s3505,s3163,s3019,s1389,s3491,s1046,s36,s3520,s3448,s3449]) ).
cnf(s3522,plain,
( ~ spl0_221
| ~ spl0_71
| spl0_219
| spl0_275
| spl0_292 ),
inference(rat,[],[s2672,s2688,s2655,s2587,s2740,s1365,s2578,s2575,s2200,s1255,s1382,s3198,s331,s3263,s1959,s2258,s2966,s852,s1228,s1386,s1864,s1902,s36,s1097,s3520,s1364,s3319,s1348,s3521,s3262,s3502,s3447,s3449,s3448]) ).
cnf(s3523,plain,
( ~ spl0_32
| spl0_186
| ~ spl0_71
| spl0_219
| spl0_275
| spl0_292 ),
inference(rat,[],[s2992,s3512,s1255,s3263,s331,s3391,s1959,s2869,s2556,s3511,s1338,s3371,s1894,s3254,s761,s3208,s3068,s297,s1886,s1350,s1389,s3516,s844,s1969,s2372,s2689,s2740,s1245,s130,s3514,s3522,s3319,s1348,s3521,s1864,s1902,s3262,s3502,s3491,s36,s3520,s747,s2676,s3448,s3449]) ).
cnf(s3524,plain,
( spl0_186
| ~ spl0_71
| spl0_219
| spl0_275
| spl0_292 ),
inference(rat,[],[s3513,s3208,s53,s2977,s3523,s747,s1476,s1350,s1389,s130,s3514,s3522,s3319,s1348,s3521,s1864,s1902,s3262,s3502,s3491]) ).
cnf(s3525,plain,
( ~ spl0_71
| spl0_219
| spl0_275
| spl0_292 ),
inference(rat,[],[s2989,s3524,s1237,s130,s3514,s3522,s3491,s1864,s1902,s3319,s1348,s3521,s3262,s3502]) ).
cnf(s3526,plain,
( ~ spl0_112
| spl0_341
| spl0_48
| ~ spl0_58 ),
inference(rat,[],[s1407,s2869,s2135,s1661,s1893]) ).
cnf(s3527,plain,
( spl0_219
| spl0_275
| spl0_292 ),
inference(rat,[],[s1407,s2869,s2135,s2505,s39,s53,s1653,s3526,s2377,s2740,s3510,s2372,s1228,s3285,s2652,s1959,s3514,s2646,s331,s130,s1382,s1969,s2575,s3299,s3525,s3491,s1864,s1902,s36,s1097,s3520,s3319,s1348,s3521,s3262,s3502,s3449,s3447,s3448]) ).
cnf(s3528,plain,
( ~ spl0_181
| ~ spl0_224
| ~ spl0_216
| spl0_228
| spl0_275 ),
inference(rat,[],[s1466,s1701,s1641,s852]) ).
cnf(s3529,plain,
( ~ spl0_27
| spl0_38 ),
inference(rat,[],[s38,s40]) ).
cnf(s3530,plain,
( spl0_275
| spl0_292 ),
inference(rat,[],[s2482,s297,s53,s3195,s2355,s3479,s2587,s2591,s69,s1407,s2869,s3529,s3208,s3528,s1081,s357,s3462,s397,s1244,s2484,s2462,s3299,s2348,s3255,s3516,s2982,s3371,s1750,s1444,s2268,s3527,s3319,s1348,s3521,s1097,s3520,s1013,s1864,s1902,s3262,s3502,s3448,s3447,s3449]) ).
cnf(s3531,plain,
( ~ spl0_183
| ~ spl0_67
| ~ spl0_71
| spl0_191 ),
inference(rat,[],[s1030,s2567,s747,s1651,s2888,s3449]) ).
cnf(s3532,plain,
( spl0_222
| spl0_219
| spl0_292 ),
inference(rat,[],[s1822,s747,s1933,s1651,s1830,s1081,s3263,s3208,s3505,s3163,s3019,s1389,s3491,s1476,s3449]) ).
cnf(s3533,plain,
( ~ spl0_71
| spl0_219
| ~ spl0_202
| spl0_292 ),
inference(rat,[],[s2591,s2136,s69,s1407,s3230,s3263,s2282,s1824,s2982,s1756,s1332,s53,s3208,s333,s2977,s844,s1042,s2965,s2869,s1239,s2507,s1405,s747,s130,s3462,s1651,s3531,s2888,s2545,s1389,s3491,s3496,s1915,s1918,s1016,s2599,s1984,s1476,s1700,s3530,s3262,s1348,s3532,s3449]) ).
cnf(s3534,plain,
( spl0_219
| ~ spl0_202
| spl0_292 ),
inference(rat,[],[s3464,s69,s1407,s3517,s2869,s2747,s1661,s1933,s1653,s1756,s53,s1532,s1651,s2989,s3187,s2091,s3208,s2609,s2169,s2013,s2569,s1650,s331,s2982,s130,s1382,s2627,s1969,s2575,s3299,s3533,s3262,s1348,s1700,s3532,s1476,s1389,s3491,s3530,s1016,s2599,s1984,s3449,s3447]) ).
cnf(s3535,plain,
( ~ spl0_182
| ~ spl0_202
| spl0_292 ),
inference(rat,[],[s508,s69,s3288,s2869,s2591,s1244,s1405,s2146,s3462,s835,s1081,s3263,s3208,s3505,s3163,s3019,s1348,s1619,s1915,s1918,s3530,s1016,s2599,s1984,s852,s2982,s1750,s3534,s3447]) ).
cnf(s3536,plain,
( spl0_186
| ~ spl0_183
| ~ spl0_67
| spl0_191 ),
inference(rat,[],[s1030,s2567,s747]) ).
cnf(s3537,plain,
( ~ spl0_202
| spl0_292 ),
inference(rat,[],[s2591,s2727,s3280,s2900,s3208,s1081,s1257,s1651,s3536,s3262,s3535,s130,s2982,s1239,s1750,s2268,s3534,s3496,s3449,s3447,s3448]) ).
cnf(s3538,plain,
( ~ spl0_181
| ~ spl0_227
| ~ spl0_190
| ~ spl0_71
| ~ spl0_305
| spl0_292 ),
inference(rat,[],[s2966,s1386,s1020,s2977,s3491,s3319,s3537,s3449]) ).
cnf(s3539,plain,
( ~ spl0_71
| ~ spl0_183
| spl0_219
| spl0_292 ),
inference(rat,[],[s2591,s2136,s69,s1407,s3230,s3263,s2258,s852,s2982,s1332,s3208,s3538,s2732,s2187,s1401,s1042,s2869,s1405,s747,s3462,s1651,s1406,s2888,s2545,s1364,s3496,s1915,s1918,s3530,s3319,s3537,s1476,s1022,s3532,s3449]) ).
cnf(s3540,plain,
( ~ spl0_183
| spl0_219
| spl0_292 ),
inference(rat,[],[s3508,s1081,s2958,s1651,s1959,s3536,s331,s130,s1382,s1969,s2575,s1031,s3299,s3539,s3496,s3319,s3537,s3449,s3447]) ).
cnf(s3541,plain,
( spl0_219
| spl0_292 ),
inference(rat,[],[s1584,s747,s1491,s2989,s841,s1532,s37,s53,s1756,s1933,s1830,s3263,s2583,s3510,s1443,s2773,s2740,s1401,s1916,s1864,s1902,s3262,s3540,s1700,s3532,s1350,s1476,s1389,s3491,s1915,s1918,s3530,s3319,s3537]) ).
cnf(s3542,plain,
( ~ spl0_183
| spl0_186
| spl0_292 ),
inference(rat,[],[s2591,s2136,s69,s1407,s1022,s2869,s3230,s3163,s1405,s3263,s3462,s2258,s2888,s1364,s1044,s1969,s130,s3536,s3496,s1915,s1918,s3530,s3319,s3537,s852,s2982,s1750,s3541,s3449,s3447]) ).
cnf(s3543,plain,
( ~ spl0_182
| spl0_292 ),
inference(rat,[],[s36,s1228,s2572,s2958,s3510,s2398,s1443,s1700,s3505,s1081,s3462,s130,s1382,s1244,s1969,s2575,s3299,s2773,s2740,s3516,s1401,s1916,s1864,s1902,s1915,s1918,s3530,s3319,s3537,s1750,s3541,s3448,s3447,s3449]) ).
cnf(s3544,plain,
spl0_292,
inference(rat,[],[s2591,s2727,s3280,s2900,s3208,s1081,s1257,s1651,s3542,s3262,s3543,s2982,s1750,s2268,s3541,s3449,s3447,s3448]) ).
cnf(s3545,plain,
( ~ spl0_27
| ~ spl0_100
| ~ spl0_74
| ~ spl0_196
| ~ spl0_183
| spl0_186
| spl0_275 ),
inference(rat,[],[s2925,s2544,s2740,s2773,s1245,s333,s37,s53,s3519,s1223,s1097,s38,s40,s2011,s3462,s3447]) ).
cnf(s3546,plain,
( ~ spl0_28
| ~ spl0_50
| ~ spl0_180
| ~ spl0_100
| ~ spl0_74
| ~ spl0_183
| spl0_275 ),
inference(rat,[],[s2585,s2925,s2135,s2544,s2740,s1407,s2773,s1245,s2372,s333,s37,s39,s2689,s1447,s3019,s3449,s3544]) ).
cnf(s3547,plain,
( ~ spl0_32
| spl0_188
| ~ spl0_183
| spl0_186
| spl0_275 ),
inference(rat,[],[s2990,s683,s36,s297,s3519,s1046,s747,s2676,s3448]) ).
cnf(s3548,plain,
( ~ spl0_74
| ~ spl0_196
| ~ spl0_305
| ~ spl0_183
| spl0_186
| spl0_275
| spl0_59 ),
inference(rat,[],[s3546,s3208,s2869,s2977,s3545,s3062,s2507,s747,s37,s39,s53,s3547,s2011,s3462,s3447]) ).
cnf(s3549,plain,
( ~ spl0_196
| ~ spl0_305
| ~ spl0_71
| ~ spl0_183
| spl0_186
| spl0_275
| spl0_59 ),
inference(rat,[],[s2508,s333,s331,s2773,s2630,s2544,s3531,s130,s3548,s53,s3547,s2011,s3462,s3448,s3447]) ).
cnf(s3550,plain,
( ~ spl0_74
| ~ spl0_112
| spl0_219
| ~ spl0_183
| spl0_110
| ~ spl0_190
| ~ spl0_194
| ~ spl0_202 ),
inference(rat,[],[s1245,s36,s683,s3180,s297,s53,s2965,s333,s1239,s2507,s2599,s1984,s3448]) ).
cnf(s3551,plain,
( spl0_219
| ~ spl0_71
| ~ spl0_183
| spl0_186
| spl0_275
| ~ spl0_202 ),
inference(rat,[],[s2609,s2569,s2011,s2598,s686,s2200,s2091,s3192,s3187,s3208,s3068,s1650,s130,s3550,s2773,s2544,s2888,s3549,s1476,s2599,s1984,s1046,s747,s2676,s3447,s3544]) ).
cnf(s3552,plain,
( ~ spl0_191
| ~ spl0_86 ),
inference(rat,[],[s1012,s2865,s2598,s2011,s2630,s3447,s3544]) ).
cnf(s3553,plain,
( ~ spl0_71
| ~ spl0_183
| spl0_186
| spl0_275
| ~ spl0_202 ),
inference(rat,[],[s3552,s3531,s130,s331,s1239,s1392,s2268,s3551,s2599,s1984,s3448]) ).
cnf(s3554,plain,
( ~ spl0_183
| spl0_186
| spl0_275
| ~ spl0_202 ),
inference(rat,[],[s3552,s3536,s331,s130,s1382,s1969,s2575,s3299,s3553,s1984,s3447,s3449]) ).
cnf(s3555,plain,
( ~ spl0_74
| ~ spl0_182
| ~ spl0_190
| ~ spl0_202 ),
inference(rat,[],[s1476,s2977,s2268,s2965,s2634,s1239,s1237,s3208,s3019,s1348,s3448]) ).
cnf(s3556,plain,
( spl0_219
| ~ spl0_67
| ~ spl0_184
| ~ spl0_181
| ~ spl0_190
| spl0_275 ),
inference(rat,[],[s1349,s3475,s1417,s1389,s2965,s53,s1830,s3368,s1886,s1933,s3068,s1476,s1046,s1822,s3544]) ).
cnf(s3557,plain,
( spl0_230
| spl0_199
| ~ spl0_181 ),
inference(rat,[],[s2694,s775,s3462,s2598,s3544]) ).
cnf(s3558,plain,
( ~ spl0_24
| ~ spl0_219
| spl0_315
| ~ spl0_184
| ~ spl0_181
| ~ spl0_194 ),
inference(rat,[],[s1758,s2222,s2730,s3371,s3430,s1444,s36,s2011,s3557,s835,s852,s2982,s1750,s3448,s3447]) ).
cnf(s3559,plain,
( spl0_186
| spl0_275
| ~ spl0_202 ),
inference(rat,[],[s3503,s53,s2044,s3519,s52,s3558,s2011,s3557,s835,s852,s2982,s1750,s3556,s130,s3555,s1822,s3263,s3208,s3163,s3019,s1348,s3262,s3554,s747,s1046,s3447]) ).
cnf(s3560,plain,
( ~ spl0_74
| ~ spl0_183
| spl0_275
| ~ spl0_202 ),
inference(rat,[],[s3071,s3169,s3263,s2126,s297,s1841,s3180,s52,s53,s1255,s333,s2992,s331,s2773,s3552,s2544,s2888,s2268,s1044,s1239,s3030,s1969,s2507,s2599,s1984,s2989,s1651,s3559,s3448,s3449]) ).
cnf(s3561,plain,
( ~ spl0_188
| spl0_74
| ~ spl0_12
| ~ spl0_202 ),
inference(rat,[],[s2982,s2627,s863,s2746,s3475,s349,s1351,s778,s2598,s2011,s1144,s2599,s1984,s9,s3544,s3447]) ).
cnf(s3562,plain,
( ~ spl0_32
| ~ spl0_185
| spl0_221
| spl0_219
| ~ spl0_321
| ~ spl0_186
| ~ spl0_212 ),
inference(rat,[],[s77,s2641,s3529,s2460,s1097,s36,s3180,s297,s2126,s1653,s1112,s10,s1991,s2989,s3449,s3447,s3448,s3544]) ).
cnf(s3563,plain,
( ~ spl0_71
| spl0_139
| ~ spl0_289
| ~ spl0_183
| spl0_196 ),
inference(rat,[],[s1382,s331,s2633,s3552,s686,s2888,s3447]) ).
cnf(s3564,plain,
( spl0_219
| ~ spl0_183
| spl0_275
| ~ spl0_202 ),
inference(rat,[],[s2741,s2581,s2925,s2135,s3552,s1407,s331,s2869,s1382,s3347,s2575,s3299,s3563,s2372,s746,s37,s39,s53,s3562,s3263,s2282,s1824,s844,s2200,s2965,s3192,s1257,s3208,s2169,s3293,s1651,s1650,s1389,s2273,s1573,s1652,s2609,s2569,s3561,s130,s3560,s2599,s1984,s10,s1991,s2989,s3559,s3447,s3449,s3544]) ).
cnf(s3565,plain,
( ~ spl0_183
| spl0_275
| ~ spl0_202 ),
inference(rat,[],[s1653,s1661,s53,s2575,s2869,s1417,s3299,s1051,s3254,s3531,s1481,s3528,s3552,s3208,s331,s2982,s1257,s1392,s1750,s2268,s3564,s1573,s1652,s2609,s2569,s3561,s130,s3560,s2599,s1984,s1081,s1651,s10,s1991,s2989,s3559,s3447,s3448,s3544,s3449]) ).
cnf(s3566,plain,
( ~ spl0_221
| ~ spl0_28
| ~ spl0_186
| ~ spl0_208 ),
inference(rat,[],[s37,s39,s3070]) ).
cnf(s3567,plain,
( ~ spl0_317
| ~ spl0_67
| ~ spl0_186
| spl0_275 ),
inference(rat,[],[s3566,s53,s3368,s1886,s2989,s3544]) ).
cnf(s3568,plain,
( spl0_275
| ~ spl0_202 ),
inference(rat,[],[s1481,s2591,s835,s837,s852,s2982,s1750,s2169,s3567,s1869,s1389,s3263,s3208,s3561,s130,s3163,s3019,s1237,s1348,s3262,s3565,s10,s1081,s1991,s1651,s2989,s3559,s3449,s3544,s3447]) ).
cnf(s3569,plain,
( ~ spl0_188
| spl0_186
| spl0_123 ),
inference(rat,[],[s349,s9,s2735,s10,s3462,s2598,s1991,s2011,s2634,s3544,s3447,s3448]) ).
cnf(s3570,plain,
( ~ spl0_230
| ~ spl0_185
| spl0_287
| ~ spl0_275 ),
inference(rat,[],[s1407,s3230,s2869,s830,s1405,s1915,s1918]) ).
cnf(s3571,plain,
( spl0_230
| ~ spl0_71
| ~ spl0_183 ),
inference(rat,[],[s2888,s1012,s2865,s3462,s2598,s3544]) ).
cnf(s3572,plain,
( ~ spl0_74
| spl0_219
| ~ spl0_183
| spl0_186
| ~ spl0_202 ),
inference(rat,[],[s1584,s1491,s3263,s3570,s3571,s2136,s1447,s3019,s3208,s2977,s844,s2965,s1044,s1239,s1969,s3568,s747,s1476,s1350,s1389,s3569,s1144,s2599,s1984,s3544,s3449]) ).
cnf(s3573,plain,
( spl0_219
| ~ spl0_183
| spl0_186
| ~ spl0_202 ),
inference(rat,[],[s3187,s2091,s3208,s2609,s2169,s2569,s1650,s130,s3572,s1389,s3569,s1144,s2599,s1984]) ).
cnf(s3574,plain,
( ~ spl0_183
| spl0_186
| ~ spl0_202 ),
inference(rat,[],[s3536,s3552,s130,s331,s1239,s1392,s2268,s3573,s2599,s1984,s3448]) ).
cnf(s3575,plain,
( spl0_219
| spl0_315
| ~ spl0_184
| ~ spl0_282 ),
inference(rat,[],[s1933,s1830,s1476]) ).
cnf(s3576,plain,
( spl0_186
| ~ spl0_202 ),
inference(rat,[],[s77,s3426,s1405,s3557,s835,s852,s2982,s1750,s3575,s1822,s3263,s3208,s3163,s3019,s1348,s3262,s3574,s1389,s3569,s747,s1144,s2599,s1984,s3568,s3544,s3447]) ).
cnf(s3577,plain,
( ~ spl0_188
| ~ spl0_183
| ~ spl0_202 ),
inference(rat,[],[s1044,s1969,s3571,s3561,s2011,s10,s1991,s2989,s3576,s3449,s3447,s3544]) ).
cnf(s3578,plain,
( ~ spl0_74
| spl0_219
| ~ spl0_183
| ~ spl0_202 ),
inference(rat,[],[s3163,s3263,s3179,s3575,s297,s1756,s2394,s3371,s1255,s2629,s1992,s2578,s2475,s3191,s2633,s1382,s349,s331,s282,s2869,s3552,s1405,s2515,s2888,s3571,s1044,s3030,s1969,s1144,s2599,s1984,s1432,s1915,s1918,s1651,s53,s1532,s3568,s9,s10,s1991,s2989,s3576,s1389,s3577,s3447,s3449,s3544]) ).
cnf(s3579,plain,
( spl0_219
| ~ spl0_183
| ~ spl0_202 ),
inference(rat,[],[s2747,s3575,s3562,s2273,s2965,s1573,s1257,s1652,s3208,s2609,s2169,s2569,s1650,s130,s3578,s2599,s1984,s10,s1991,s53,s1532,s2989,s3576,s3568,s1389,s3577,s3544]) ).
cnf(s3580,plain,
( ~ spl0_183
| ~ spl0_202 ),
inference(rat,[],[s3230,s3263,s1407,s835,s2869,s1481,s1661,s2139,s1573,s2575,s1653,s1652,s3299,s1934,s3531,s2013,s3552,s852,s3208,s130,s331,s2982,s1257,s1239,s1392,s1750,s2268,s3579,s3577,s2599,s1984,s1915,s1918,s1081,s1651,s10,s1991,s53,s1532,s2989,s3576,s3568,s3447,s3448,s3544,s3449]) ).
cnf(s3581,plain,
( spl0_219
| ~ spl0_202 ),
inference(rat,[],[s2729,s1386,s2254,s3368,s1770,s2169,s1350,s1081,s1651,s130,s3208,s3019,s3263,s3163,s1348,s1389,s3561,s1237,s3262,s3580,s10,s1991,s2989,s3576,s3449,s3544]) ).
cnf(s3582,plain,
~ spl0_202,
inference(rat,[],[s2591,s1481,s837,s835,s852,s2982,s1750,s3581,s1869,s3263,s3208,s3163,s3019,s1348,s3262,s3580,s1081,s1651,s3576,s3447,s3449]) ).
cnf(s3583,plain,
spl0_203,
inference(rat,[],[s3319,s3582]) ).
cnf(s3584,plain,
( ~ spl0_188
| ~ spl0_183
| spl0_186 ),
inference(rat,[],[s2575,s1031,s3299,s1072,s3571,s3569,s2011,s3447]) ).
cnf(s3585,plain,
( spl0_275
| ~ spl0_74
| ~ spl0_305
| ~ spl0_183
| spl0_186 ),
inference(rat,[],[s369,s333,s2544,s53,s2888,s3547,s3549,s3584,s2507,s252,s1044,s1969,s3449]) ).
cnf(s3586,plain,
( ~ spl0_185
| ~ spl0_275
| ~ spl0_230 ),
inference(rat,[],[s2136,s1447,s3570,s3163,s3544]) ).
cnf(s3587,plain,
( ~ spl0_74
| spl0_219
| ~ spl0_183
| spl0_186 ),
inference(rat,[],[s1756,s53,s1700,s3050,s3019,s2965,s3208,s844,s1822,s2294,s1845,s3575,s1584,s1809,s3263,s3586,s3585,s3571,s1044,s1969,s2507,s252,s747,s1689,s1389,s3584,s1476,s3583,s3449]) ).
cnf(s3588,plain,
( spl0_275
| ~ spl0_191
| ~ spl0_183
| spl0_186 ),
inference(rat,[],[s333,s2773,s53,s2544,s3547,s3584,s2508,s331,s3552,s3448]) ).
cnf(s3589,plain,
( spl0_219
| ~ spl0_183
| spl0_186 ),
inference(rat,[],[s1012,s2865,s2598,s3586,s3588,s3263,s3575,s3536,s1755,s130,s3587,s1389,s3584,s3544,s3583]) ).
cnf(s3590,plain,
( ~ spl0_74
| ~ spl0_183
| spl0_186 ),
inference(rat,[],[s2314,s2208,s2732,s2187,s1401,s3196,s3311,s1042,s2200,s1254,s2644,s844,s2591,s2294,s837,s1584,s2869,s3263,s1405,s3586,s3547,s53,s3050,s2966,s3571,s1364,s1044,s1969,s2507,s252,s747,s1689,s3584,s2268,s852,s2982,s1750,s3589,s3583,s3449,s3447,s3448]) ).
cnf(s3591,plain,
( ~ spl0_185
| ~ spl0_275
| spl0_228 ),
inference(rat,[],[s72,s2598,s73,s1022,s3586,s3230,s3163,s2688,s1432,s1915,s1918,s3544]) ).
cnf(s3592,plain,
( ~ spl0_183
| spl0_186 ),
inference(rat,[],[s1254,s844,s867,s2294,s1009,s1584,s3263,s3591,s2508,s331,s3588,s3552,s3536,s130,s3590,s2982,s1750,s3589,s1689,s747,s3448,s3447,s3583]) ).
cnf(s3593,plain,
( ~ spl0_185
| ~ spl0_71
| ~ spl0_197 ),
inference(rat,[],[s1367,s116,s1363,s2598,s830,s2966,s2419,s1447,s1111,s1374,s3163,s1635,s1753,s3583,s3544]) ).
cnf(s3594,plain,
( spl0_219
| ~ spl0_71
| spl0_186 ),
inference(rat,[],[s2419,s1447,s2966,s3019,s1386,s3208,s844,s1822,s2294,s3575,s1584,s1350,s747,s1635,s1753,s1389,s3569,s1109,s3263,s3593,s1864,s1902,s3262,s3592,s3544,s3583,s3449]) ).
cnf(s3595,plain,
( ~ spl0_71
| spl0_186 ),
inference(rat,[],[s2591,s2419,s837,s2966,s852,s2982,s1750,s3594,s3263,s3593,s1364,s1635,s1753,s1864,s1902,s3262,s3592,s3583,s3447,s3544]) ).
cnf(s3596,plain,
( spl0_17
| spl0_123
| ~ spl0_15
| ~ spl0_12 ),
inference(rat,[],[s9,s349]) ).
cnf(s3597,plain,
spl0_186,
inference(rat,[],[s3596,s10,s2735,s15,s3462,s2598,s1244,s3299,s3595,s1109,s1864,s1902,s3262,s3592,s3544]) ).
cnf(s3599,plain,
~ spl0_209,
inference(rat,[],[s739,s3597]) ).
cnf(s3601,plain,
spl0_208,
inference(rat,[],[s2989,s3597]) ).
cnf(s3602,plain,
~ spl0_196,
inference(rat,[],[s1651,s3449,s3597]) ).
cnf(s3604,plain,
~ spl0_4,
inference(rat,[],[s1991,s3544,s3601]) ).
cnf(s3605,plain,
spl0_224,
inference(rat,[],[s1081,s3602]) ).
cnf(s3606,plain,
spl0_12,
inference(rat,[],[s10,s3604]) ).
cnf(s3609,plain,
( ~ spl0_185
| spl0_58
| ~ spl0_230
| ~ spl0_71
| spl0_221 ),
inference(rat,[],[s2633,s3267,s3596,s2419,s863,s2966,s1447,s830,s3163,s1073,s3606,s3583,s3544,s3447]) ).
cnf(s3610,plain,
( spl0_219
| spl0_317
| ~ spl0_184
| ~ spl0_282 ),
inference(rat,[],[s3019,s3208,s1447,s2169,s2273,s3575,s3544,s3606]) ).
cnf(s3611,plain,
( ~ spl0_74
| ~ spl0_183 ),
inference(rat,[],[s1750,s2982,s3610,s852,s2254,s1597,s1770,s3263,s3609,s1382,s331,s1389,s3552,s2011,s2888,s3571,s844,s1044,s3030,s1969,s1689,s3447,s3602,s3605,s3597,s3601,s3449,s3583]) ).
cnf(s3612,plain,
( spl0_290
| ~ spl0_217 ),
inference(rat,[],[s1257,s2268,s3208,s1959,s1020,s331,s2732,s1382,s2187,s2633,s1753,s2865,s3267,s2419,s3544,s3599,s3447,s3448,s3597]) ).
cnf(s3613,plain,
( ~ spl0_185
| ~ spl0_67 ),
inference(rat,[],[s3612,s2958,s1447,s1375,s3163,s3583,s3544,s3601]) ).
cnf(s3614,plain,
~ spl0_183,
inference(rat,[],[s2187,s1834,s2732,s331,s1389,s1020,s1959,s3610,s3208,s1750,s3019,s2982,s1447,s852,s3612,s2254,s1845,s1770,s1809,s3263,s3613,s1650,s130,s3611,s1689,s3599,s3447,s3544,s3602,s3583,s3605]) ).
cnf(s3615,plain,
spl0_182,
inference(rat,[],[s3262,s3614]) ).
cnf(s3616,plain,
~ spl0_59,
inference(rat,[],[s1902,s3615]) ).
cnf(s3617,plain,
spl0_197,
inference(rat,[],[s1864,s3616,s3615]) ).
cnf(s3618,plain,
~ spl0_74,
inference(rat,[],[s1237,s3601,s3615]) ).
cnf(s3621,plain,
~ spl0_289,
inference(rat,[],[s1753,s3544,s3617]) ).
cnf(s3622,plain,
spl0_67,
inference(rat,[],[s130,s3618]) ).
cnf(s3627,plain,
~ spl0_321,
inference(rat,[],[s1652,s3606,s3621]) ).
cnf(s3629,plain,
~ spl0_185,
inference(rat,[],[s3613,s3622]) ).
cnf(s3630,plain,
spl0_184,
inference(rat,[],[s3263,s3629]) ).
cnf(s3631,plain,
spl0_219,
inference(rat,[],[s2652,s2646,s3627,s3622,s3583]) ).
cnf(s3632,plain,
spl0_213,
inference(rat,[],[s2268,s3448,s3631]) ).
cnf(s3633,plain,
~ spl0_243,
inference(rat,[],[s1750,s3447,s3631]) ).
cnf(s3634,plain,
~ spl0_180,
inference(rat,[],[s1257,s3597,s3632]) ).
cnf(s3635,plain,
~ spl0_228,
inference(rat,[],[s2982,s3633]) ).
cnf(s3636,plain,
spl0_181,
inference(rat,[],[s3208,s3634]) ).
cnf(s3637,plain,
spl0_233,
inference(rat,[],[s852,s3635]) ).
cnf(s3638,plain,
~ spl0_235,
inference(rat,[],[s1869,s3605,s3636]) ).
cnf(s3640,plain,
~ spl0_199,
inference(rat,[],[s835,s3630,s3637]) ).
cnf(s3641,plain,
~ spl0_15,
inference(rat,[],[s837,s3638,s3630,s3637]) ).
cnf(s3645,plain,
spl0_290,
inference(rat,[],[s1481,s3636,s3605,s3640]) ).
cnf(s3646,plain,
$false,
inference(rat,[],[s2591,s3633,s3645,s3641]) ).
thf(f29290,plain,
$false,
inference(avatar_sat_refutation,[],[s3646]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA132^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n003.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 19:04:14 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running higher-order theorem proving
% 0.10/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.43 % (2920037)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.43 % (2920048)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.43 % (2920048)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
% 0.63/0.43 % (2920047)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3187982376:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.43 % (2920046)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1704560250:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.43 % (2920042)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3418768806:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.43 % (2920044)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3135498670:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.43 % (2920048)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=301526243:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.43 % (2920045)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=983466508: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)
% 0.63/0.43 % (2920044)Instruction limit reached!
% 0.63/0.43 % (2920044)------------------------------
% 0.63/0.43 % (2920044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (2920044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (2920044)CaDiCaL version: 2.1.3
% 0.63/0.43 % (2920044)Termination reason: Instruction limit
% 0.63/0.43 % (2920044)Termination phase: Saturation
% 0.63/0.43 % (2920044)Time elapsed: 0.002 s
% 0.63/0.43 % (2920044)Peak memory usage: 12 MB
% 0.63/0.43 % (2920044)Instructions burned: 3 (million)
% 0.63/0.43 % (2920043)lrs+10_16_si=on:nwc=1.5:random_seed=2837685201:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.43 % (2920046)Instruction limit reached!
% 0.63/0.43 % (2920046)------------------------------
% 0.63/0.43 % (2920046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (2920046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (2920046)CaDiCaL version: 2.1.3
% 0.63/0.43 % (2920046)Termination reason: Instruction limit
% 0.63/0.43 % (2920046)Termination phase: Saturation
% 0.63/0.43 % (2920046)Time elapsed: 0.012 s
% 0.63/0.43 % (2920046)Peak memory usage: 12 MB
% 0.63/0.43 % (2920046)Instructions burned: 25 (million)
% 0.63/0.43 % (2920043)Instruction limit reached!
% 0.63/0.43 % (2920043)------------------------------
% 0.63/0.43 % (2920043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (2920043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (2920043)CaDiCaL version: 2.1.3
% 0.63/0.43 % (2920043)Termination reason: Instruction limit
% 0.63/0.43 % (2920043)Termination phase: Saturation
% 0.63/0.43 % (2920043)Time elapsed: 0.016 s
% 0.63/0.43 % (2920043)Peak memory usage: 11 MB
% 0.63/0.43 % (2920043)Instructions burned: 19 (million)
% 0.63/0.43 % (2920057)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1083176275:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.43 % (2920055)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1496423917:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.43 % (2920057)Instruction limit reached!
% 0.63/0.43 % (2920057)------------------------------
% 0.63/0.43 % (2920057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (2920057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (2920057)CaDiCaL version: 2.1.3
% 0.63/0.43 % (2920057)Termination reason: Instruction limit
% 0.63/0.43 % (2920057)Termination phase: Saturation
% 0.63/0.43 % (2920057)Time elapsed: 0.004 s
% 0.63/0.43 % (2920057)Peak memory usage: 11 MB
% 0.63/0.43 % (2920057)Instructions burned: 6 (million)
% 0.63/0.45 % (2920055)Instruction limit reached!
% 0.63/0.45 % (2920055)------------------------------
% 0.63/0.45 % (2920055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (2920055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (2920055)CaDiCaL version: 2.1.3
% 0.63/0.45 % (2920055)Termination reason: Instruction limit
% 0.63/0.45 % (2920055)Termination phase: Saturation
% 0.63/0.45 % (2920055)Time elapsed: 0.002 s
% 0.63/0.45 % (2920055)Peak memory usage: 12 MB
% 0.63/0.45 % (2920055)Instructions burned: 3 (million)
% 0.63/0.45 % (2920047)Instruction limit reached!
% 0.63/0.45 % (2920047)------------------------------
% 0.63/0.45 % (2920047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (2920047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (2920047)CaDiCaL version: 2.1.3
% 0.63/0.45 % (2920047)Termination reason: Instruction limit
% 0.63/0.45 % (2920047)Termination phase: Saturation
% 0.63/0.45 % (2920047)Time elapsed: 0.036 s
% 0.63/0.45 % (2920047)Peak memory usage: 12 MB
% 0.63/0.45 % (2920047)Instructions burned: 76 (million)
% 0.63/0.45 % (2920042)Instruction limit reached!
% 0.63/0.45 % (2920042)------------------------------
% 0.63/0.45 % (2920042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (2920042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (2920042)CaDiCaL version: 2.1.3
% 0.63/0.45 % (2920042)Termination reason: Instruction limit
% 0.63/0.45 % (2920042)Termination phase: Saturation
% 0.63/0.45 % (2920042)Time elapsed: 0.037 s
% 0.63/0.45 % (2920042)Peak memory usage: 12 MB
% 0.63/0.45 % (2920042)Instructions burned: 88 (million)
% 0.63/0.45 % (2920059)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.45 % (2920059)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1525706333:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.45 % (2920064)lrs+10_1_si=on:cs=on:random_seed=2091485175:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.45 % (2920064)Instruction limit reached!
% 0.63/0.45 % (2920064)------------------------------
% 0.63/0.45 % (2920064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (2920064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (2920064)CaDiCaL version: 2.1.3
% 0.63/0.45 % (2920064)Termination reason: Instruction limit
% 0.63/0.45 % (2920064)Termination phase: Saturation
% 0.63/0.45 % (2920064)Time elapsed: 0.005 s
% 0.63/0.45 % (2920064)Peak memory usage: 12 MB
% 0.63/0.45 % (2920064)Instructions burned: 9 (million)
% 0.63/0.45 % (2920059)Instruction limit reached!
% 0.63/0.45 % (2920059)------------------------------
% 0.63/0.45 % (2920059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (2920059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (2920059)CaDiCaL version: 2.1.3
% 0.63/0.45 % (2920059)Termination reason: Instruction limit
% 0.63/0.45 % (2920059)Termination phase: Saturation
% 0.63/0.45 % (2920059)Time elapsed: 0.007 s
% 0.63/0.45 % (2920059)Peak memory usage: 12 MB
% 0.63/0.45 % (2920059)Instructions burned: 11 (million)
% 0.63/0.45 % (2920062)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
% 0.63/0.45 % (2920062)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.45 % (2920063)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=523214200:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.45 % (2920062)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3600238569:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.45 % (2920061)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1187692837:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.45 % (2920048)Instruction limit reached!
% 0.63/0.49 % (2920048)------------------------------
% 0.63/0.49 % (2920048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.49 % (2920048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.49 % (2920048)CaDiCaL version: 2.1.3
% 0.63/0.49 % (2920048)Termination reason: Instruction limit
% 0.63/0.49 % (2920048)Termination phase: Saturation
% 0.63/0.49 % (2920048)Time elapsed: 0.080 s
% 0.63/0.49 % (2920048)Peak memory usage: 12 MB
% 0.63/0.49 % (2920048)Instructions burned: 158 (million)
% 0.63/0.49 % (2920062)Instruction limit reached!
% 0.63/0.49 % (2920062)------------------------------
% 0.63/0.49 % (2920062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.49 % (2920062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.49 % (2920062)CaDiCaL version: 2.1.3
% 0.63/0.49 % (2920062)Termination reason: Instruction limit
% 0.63/0.49 % (2920062)Termination phase: Saturation
% 0.63/0.49 % (2920062)Time elapsed: 0.014 s
% 0.63/0.49 % (2920062)Peak memory usage: 11 MB
% 0.63/0.49 % (2920062)Instructions burned: 29 (million)
% 0.63/0.49 % (2920068)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4077939651:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.63/0.49 % (2920067)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.63/0.49 % (2920068)Refutation not found, incomplete strategy
% 0.63/0.49 % (2920068)------------------------------
% 0.63/0.49 % (2920068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.49 % (2920068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.49 % (2920068)CaDiCaL version: 2.1.3
% 0.63/0.49 % (2920068)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.49 % (2920068)Time elapsed: 0.001 s
% 0.63/0.49 % (2920068)Peak memory usage: 11 MB
% 0.63/0.49 % (2920061)Instruction limit reached!
% 0.63/0.49 % (2920061)------------------------------
% 0.63/0.49 % (2920061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.49 % (2920061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.49 % (2920061)CaDiCaL version: 2.1.3
% 0.63/0.49 % (2920061)Termination reason: Instruction limit
% 0.63/0.49 % (2920061)Termination phase: Saturation
% 0.63/0.49 % (2920061)Time elapsed: 0.014 s
% 0.63/0.49 % (2920061)Peak memory usage: 12 MB
% 0.63/0.49 % (2920061)Instructions burned: 13 (million)
% 0.63/0.49 % (2920068)------------------------------
% 0.63/0.49 % (2920068)------------------------------
% 0.63/0.49 % (2920067)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=3345668356:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.63/0.49 % (2920067)Instruction limit reached!
% 0.63/0.49 % (2920067)------------------------------
% 0.63/0.49 % (2920067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.49 % (2920067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.49 % (2920067)CaDiCaL version: 2.1.3
% 0.63/0.49 % (2920067)Termination reason: Instruction limit
% 0.63/0.49 % (2920067)Termination phase: Saturation
% 0.63/0.49 % (2920067)Time elapsed: 0.002 s
% 0.63/0.49 % (2920067)Peak memory usage: 11 MB
% 0.63/0.49 % (2920067)Instructions burned: 2 (million)
% 0.63/0.49 % (2920074)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=569787010:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.63/0.49 % (2920074)Refutation not found, incomplete strategy
% 0.63/0.49 % (2920074)------------------------------
% 0.63/0.49 % (2920074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.49 % (2920074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.49 % (2920074)CaDiCaL version: 2.1.3
% 0.63/0.49 % (2920074)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.49 % (2920074)Time elapsed: 0.001 s
% 0.63/0.49 % (2920074)Peak memory usage: 11 MB
% 0.63/0.49 % (2920074)------------------------------
% 0.63/0.49 % (2920074)------------------------------
% 0.63/0.49 % (2920076)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=687116185:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.49 % (2920063)Instruction limit reached!
% 1.42/0.54 % (2920063)------------------------------
% 1.42/0.54 % (2920063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (2920063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (2920073)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1507487648:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.42/0.54 % (2920063)CaDiCaL version: 2.1.3
% 1.42/0.54 % (2920063)Termination reason: Instruction limit
% 1.42/0.54 % (2920063)Termination phase: Saturation
% 1.42/0.54 % (2920063)Time elapsed: 0.046 s
% 1.42/0.54 % (2920063)Peak memory usage: 12 MB
% 1.42/0.54 % (2920063)Instructions burned: 87 (million)
% 1.42/0.54 % (2920073)Refutation not found, incomplete strategy
% 1.42/0.54 % (2920073)------------------------------
% 1.42/0.54 % (2920073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (2920073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (2920073)CaDiCaL version: 2.1.3
% 1.42/0.54 % (2920073)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.54 % (2920073)Time elapsed: 0.001 s
% 1.42/0.54 % (2920073)Peak memory usage: 11 MB
% 1.42/0.54 % (2920073)------------------------------
% 1.42/0.54 % (2920073)------------------------------
% 1.42/0.54 % (2920076)Instruction limit reached!
% 1.42/0.54 % (2920076)------------------------------
% 1.42/0.54 % (2920076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (2920076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (2920076)CaDiCaL version: 2.1.3
% 1.42/0.54 % (2920076)Termination reason: Instruction limit
% 1.42/0.54 % (2920076)Termination phase: Saturation
% 1.42/0.54 % (2920076)Time elapsed: 0.009 s
% 1.42/0.54 % (2920076)Peak memory usage: 12 MB
% 1.42/0.54 % (2920076)Instructions burned: 15 (million)
% 1.42/0.54 % (2920077)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=139931518:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.42/0.54 % (2920081)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2343206132: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)
% 1.42/0.54 % (2920081)Refutation not found, incomplete strategy
% 1.42/0.54 % (2920081)------------------------------
% 1.42/0.54 % (2920081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (2920081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (2920081)CaDiCaL version: 2.1.3
% 1.42/0.54 % (2920081)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.54 % (2920081)Time elapsed: 0.001 s
% 1.42/0.54 % (2920081)Peak memory usage: 11 MB
% 1.42/0.54 % (2920081)------------------------------
% 1.42/0.54 % (2920081)------------------------------
% 1.42/0.54 % (2920077)Refutation not found, incomplete strategy
% 1.42/0.54 % (2920077)------------------------------
% 1.42/0.54 % (2920077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (2920077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (2920077)CaDiCaL version: 2.1.3
% 1.42/0.54 % (2920077)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.54 % (2920077)Time elapsed: 0.005 s
% 1.42/0.54 % (2920077)Peak memory usage: 11 MB
% 1.42/0.54 % (2920077)------------------------------
% 1.42/0.54 % (2920077)------------------------------
% 1.42/0.54 % (2920079)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=602793675:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.42/0.54 % (2920085)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=366385014:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.42/0.54 % (2920084)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=465777567:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.42/0.54 % (2920089)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
% 1.42/0.54 % (2920089)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.42/0.57 % (2920086)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1228194831:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.42/0.57 % (2920079)Instruction limit reached!
% 1.42/0.57 % (2920079)------------------------------
% 1.42/0.57 % (2920079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (2920079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (2920079)CaDiCaL version: 2.1.3
% 1.42/0.57 % (2920079)Termination reason: Instruction limit
% 1.42/0.57 % (2920079)Termination phase: Saturation
% 1.42/0.57 % (2920079)Time elapsed: 0.014 s
% 1.42/0.57 % (2920079)Peak memory usage: 12 MB
% 1.42/0.57 % (2920079)Instructions burned: 14 (million)
% 1.42/0.57 % (2920089)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=2568951:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.42/0.57 % (2920085)Instruction limit reached!
% 1.42/0.57 % (2920085)------------------------------
% 1.42/0.57 % (2920085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (2920085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (2920085)CaDiCaL version: 2.1.3
% 1.42/0.57 % (2920085)Termination reason: Instruction limit
% 1.42/0.57 % (2920085)Termination phase: Saturation
% 1.42/0.57 % (2920085)Time elapsed: 0.023 s
% 1.42/0.57 % (2920085)Peak memory usage: 11 MB
% 1.42/0.57 % (2920085)Instructions burned: 24 (million)
% 1.42/0.57 % (2920091)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.42/0.57 % (2920089)Instruction limit reached!
% 1.42/0.57 % (2920089)------------------------------
% 1.42/0.57 % (2920089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (2920089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (2920089)CaDiCaL version: 2.1.3
% 1.42/0.57 % (2920089)Termination reason: Instruction limit
% 1.42/0.57 % (2920089)Termination phase: Saturation
% 1.42/0.57 % (2920089)Time elapsed: 0.017 s
% 1.42/0.57 % (2920089)Peak memory usage: 12 MB
% 1.42/0.57 % (2920089)Instructions burned: 14 (million)
% 1.42/0.57 % (2920084)Instruction limit reached!
% 1.42/0.57 % (2920084)------------------------------
% 1.42/0.57 % (2920084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (2920084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (2920084)CaDiCaL version: 2.1.3
% 1.42/0.57 % (2920084)Termination reason: Instruction limit
% 1.42/0.57 % (2920084)Termination phase: Saturation
% 1.42/0.57 % (2920084)Time elapsed: 0.026 s
% 1.42/0.57 % (2920084)Peak memory usage: 12 MB
% 1.42/0.57 % (2920084)Instructions burned: 27 (million)
% 1.42/0.57 % (2920091)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=1474207444:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.42/0.57 % (2920091)Instruction limit reached!
% 1.42/0.57 % (2920091)------------------------------
% 1.42/0.57 % (2920091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (2920091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (2920091)CaDiCaL version: 2.1.3
% 1.42/0.57 % (2920091)Termination reason: Instruction limit
% 1.42/0.57 % (2920091)Termination phase: Saturation
% 1.42/0.57 % (2920091)Time elapsed: 0.005 s
% 1.42/0.57 % (2920091)Peak memory usage: 12 MB
% 1.42/0.57 % (2920091)Instructions burned: 8 (million)
% 1.42/0.57 % (2920086)Instruction limit reached!
% 1.42/0.57 % (2920086)------------------------------
% 1.42/0.57 % (2920086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (2920086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (2920086)CaDiCaL version: 2.1.3
% 1.42/0.57 % (2920086)Termination reason: Instruction limit
% 1.42/0.57 % (2920086)Termination phase: Saturation
% 1.42/0.57 % (2920086)Time elapsed: 0.031 s
% 1.42/0.57 % (2920086)Peak memory usage: 12 MB
% 1.42/0.57 % (2920086)Instructions burned: 62 (million)
% 1.42/0.57 % (2920096)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=3122731876:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.98/0.62 % (2920098)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1429553334:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.98/0.62 % (2920097)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1732557509:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.98/0.62 % (2920097)Instruction limit reached!
% 1.98/0.62 % (2920097)------------------------------
% 1.98/0.62 % (2920097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.62 % (2920097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.62 % (2920097)CaDiCaL version: 2.1.3
% 1.98/0.62 % (2920097)Termination reason: Instruction limit
% 1.98/0.62 % (2920097)Termination phase: Saturation
% 1.98/0.62 % (2920097)Time elapsed: 0.005 s
% 1.98/0.62 % (2920097)Peak memory usage: 12 MB
% 1.98/0.62 % (2920097)Instructions burned: 8 (million)
% 1.98/0.62 % (2920098)Instruction limit reached!
% 1.98/0.62 % (2920098)------------------------------
% 1.98/0.62 % (2920098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.62 % (2920098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.62 % (2920098)CaDiCaL version: 2.1.3
% 1.98/0.62 % (2920098)Termination reason: Instruction limit
% 1.98/0.62 % (2920098)Termination phase: Saturation
% 1.98/0.62 % (2920098)Time elapsed: 0.010 s
% 1.98/0.62 % (2920098)Peak memory usage: 11 MB
% 1.98/0.62 % (2920098)Instructions burned: 24 (million)
% 1.98/0.62 % (2920096)Instruction limit reached!
% 1.98/0.62 % (2920096)------------------------------
% 1.98/0.62 % (2920096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.62 % (2920096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.62 % (2920096)CaDiCaL version: 2.1.3
% 1.98/0.62 % (2920096)Termination reason: Instruction limit
% 1.98/0.62 % (2920096)Termination phase: Saturation
% 1.98/0.62 % (2920096)Time elapsed: 0.023 s
% 1.98/0.62 % (2920096)Peak memory usage: 12 MB
% 1.98/0.62 % (2920096)Instructions burned: 31 (million)
% 1.98/0.62 % (2920099)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1686692225:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.98/0.62 % (2920101)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3589447716:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.98/0.62 % (2920107)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=950734615:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.98/0.62 % (2920099)Instruction limit reached!
% 1.98/0.62 % (2920099)------------------------------
% 1.98/0.62 % (2920099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.62 % (2920099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.62 % (2920099)CaDiCaL version: 2.1.3
% 1.98/0.62 % (2920099)Termination reason: Instruction limit
% 1.98/0.62 % (2920099)Termination phase: Saturation
% 1.98/0.62 % (2920099)Time elapsed: 0.011 s
% 1.98/0.62 % (2920099)Peak memory usage: 12 MB
% 1.98/0.62 % (2920099)Instructions burned: 20 (million)
% 1.98/0.62 % (2920102)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1369416556:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.98/0.62 % (2920106)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3046056452:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.98/0.62 % (2920106)Refutation not found, incomplete strategy
% 1.98/0.62 % (2920106)------------------------------
% 1.98/0.62 % (2920106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.62 % (2920106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.62 % (2920106)CaDiCaL version: 2.1.3
% 1.98/0.62 % (2920106)Termination reason: Refutation not found, incomplete strategy
% 1.98/0.62 % (2920106)Time elapsed: 0.001 s
% 1.98/0.62 % (2920106)Peak memory usage: 11 MB
% 1.98/0.62 % (2920106)------------------------------
% 1.98/0.62 % (2920106)------------------------------
% 1.98/0.62 % (2920109)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.98/0.62 % (2920045)Instruction limit reached!
% 1.98/0.62 % (2920045)------------------------------
% 1.98/0.62 % (2920045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.72 % (2920045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.72 % (2920045)CaDiCaL version: 2.1.3
% 2.47/0.72 % (2920045)Termination reason: Instruction limit
% 2.47/0.72 % (2920045)Termination phase: Saturation
% 2.47/0.72 % (2920045)Time elapsed: 0.226 s
% 2.47/0.72 % (2920045)Peak memory usage: 13 MB
% 2.47/0.72 % (2920045)Instructions burned: 634 (million)
% 2.47/0.72 % (2920112)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=392309079:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.47/0.72 % (2920112)Refutation not found, incomplete strategy
% 2.47/0.72 % (2920112)------------------------------
% 2.47/0.72 % (2920112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.72 % (2920112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.72 % (2920112)CaDiCaL version: 2.1.3
% 2.47/0.72 % (2920112)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.72 % (2920112)Time elapsed: 0.001 s
% 2.47/0.72 % (2920112)Peak memory usage: 11 MB
% 2.47/0.72 % (2920112)------------------------------
% 2.47/0.72 % (2920112)------------------------------
% 2.47/0.72 % (2920107)Instruction limit reached!
% 2.47/0.72 % (2920107)------------------------------
% 2.47/0.72 % (2920107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.72 % (2920107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.72 % (2920107)CaDiCaL version: 2.1.3
% 2.47/0.72 % (2920107)Termination reason: Instruction limit
% 2.47/0.72 % (2920107)Termination phase: Saturation
% 2.47/0.72 % (2920107)Time elapsed: 0.021 s
% 2.47/0.72 % (2920107)Peak memory usage: 12 MB
% 2.47/0.72 % (2920107)Instructions burned: 44 (million)
% 2.47/0.72 % (2920109)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3510325887:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.47/0.72 % (2920116)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.47/0.72 % (2920116)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1277255422:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.47/0.72 % (2920109)Instruction limit reached!
% 2.47/0.72 % (2920109)------------------------------
% 2.47/0.72 % (2920109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.72 % (2920109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.72 % (2920109)CaDiCaL version: 2.1.3
% 2.47/0.72 % (2920109)Termination reason: Instruction limit
% 2.47/0.72 % (2920109)Termination phase: Saturation
% 2.47/0.72 % (2920109)Time elapsed: 0.012 s
% 2.47/0.72 % (2920109)Peak memory usage: 12 MB
% 2.47/0.72 % (2920109)Instructions burned: 7 (million)
% 2.47/0.72 % (2920116)Refutation not found, incomplete strategy
% 2.47/0.72 % (2920116)------------------------------
% 2.47/0.72 % (2920116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.72 % (2920116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.72 % (2920116)CaDiCaL version: 2.1.3
% 2.47/0.72 % (2920116)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.72 % (2920116)Time elapsed: 0.001 s
% 2.47/0.72 % (2920116)Peak memory usage: 11 MB
% 2.47/0.72 % (2920116)Instructions burned: 2 (million)
% 2.47/0.72 % (2920116)------------------------------
% 2.47/0.72 % (2920116)------------------------------
% 2.47/0.72 % (2920119)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2462799660:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.47/0.72 % (2920119)Refutation not found, incomplete strategy
% 2.47/0.72 % (2920119)------------------------------
% 2.47/0.72 % (2920119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.72 % (2920119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.72 % (2920119)CaDiCaL version: 2.1.3
% 2.47/0.72 % (2920119)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.72 % (2920119)Time elapsed: 0.002 s
% 2.47/0.72 % (2920119)Peak memory usage: 12 MB
% 2.47/0.72 % (2920119)Instructions burned: 3 (million)
% 2.47/0.72 % (2920119)------------------------------
% 2.47/0.72 % (2920119)------------------------------
% 2.47/0.78 % (2920115)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=2334385485: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)
% 2.47/0.78 % (2920118)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2447709865:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.47/0.78 % (2920115)Refutation not found, incomplete strategy
% 2.47/0.78 % (2920115)------------------------------
% 2.47/0.78 % (2920115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.78 % (2920115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.78 % (2920115)CaDiCaL version: 2.1.3
% 2.47/0.78 % (2920115)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.78 % (2920115)Time elapsed: 0.001 s
% 2.47/0.78 % (2920115)Peak memory usage: 11 MB
% 2.47/0.78 % (2920115)------------------------------
% 2.47/0.78 % (2920115)------------------------------
% 2.47/0.78 % (2920123)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=1246342868: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)
% 2.47/0.78 % (2920127)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=2304698594: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)
% 2.47/0.78 % (2920128)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=201485312:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.47/0.78 % (2920128)Refutation not found, incomplete strategy
% 2.47/0.78 % (2920128)------------------------------
% 2.47/0.78 % (2920128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.78 % (2920128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.78 % (2920128)CaDiCaL version: 2.1.3
% 2.47/0.78 % (2920128)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.78 % (2920128)Time elapsed: 0.001 s
% 2.47/0.78 % (2920128)Peak memory usage: 11 MB
% 2.47/0.78 % (2920128)Instructions burned: 1 (million)
% 2.47/0.78 % (2920118)Instruction limit reached!
% 2.47/0.78 % (2920118)------------------------------
% 2.47/0.78 % (2920118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.78 % (2920118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.78 % (2920118)CaDiCaL version: 2.1.3
% 2.47/0.78 % (2920118)Termination reason: Instruction limit
% 2.47/0.78 % (2920118)Termination phase: Saturation
% 2.47/0.78 % (2920118)Time elapsed: 0.022 s
% 2.47/0.78 % (2920118)Peak memory usage: 12 MB
% 2.47/0.78 % (2920118)Instructions burned: 22 (million)
% 2.47/0.78 % (2920128)------------------------------
% 2.47/0.78 % (2920128)------------------------------
% 2.47/0.78 % (2920122)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=2488389768:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.47/0.78 % (2920133)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.47/0.78 % (2920102)Instruction limit reached!
% 2.47/0.78 % (2920102)------------------------------
% 2.47/0.78 % (2920102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.78 % (2920102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.78 % (2920102)CaDiCaL version: 2.1.3
% 2.47/0.78 % (2920102)Termination reason: Instruction limit
% 2.47/0.78 % (2920102)Termination phase: Saturation
% 2.47/0.78 % (2920102)Time elapsed: 0.080 s
% 2.47/0.78 % (2920102)Peak memory usage: 12 MB
% 2.47/0.78 % (2920102)Instructions burned: 144 (million)
% 2.47/0.78 % (2920133)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4270639702:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.47/0.78 % (2920132)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=117009143:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.06/0.85 % (2920127)Instruction limit reached!
% 3.06/0.85 % (2920127)------------------------------
% 3.06/0.85 % (2920127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.85 % (2920127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.85 % (2920127)CaDiCaL version: 2.1.3
% 3.06/0.85 % (2920127)Termination reason: Instruction limit
% 3.06/0.85 % (2920127)Termination phase: Saturation
% 3.06/0.85 % (2920127)Time elapsed: 0.041 s
% 3.06/0.85 % (2920127)Peak memory usage: 12 MB
% 3.06/0.85 % (2920127)Instructions burned: 46 (million)
% 3.06/0.85 % (2920136)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2270337572:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.06/0.85 % (2920136)Instruction limit reached!
% 3.06/0.85 % (2920136)------------------------------
% 3.06/0.85 % (2920136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.85 % (2920136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.85 % (2920136)CaDiCaL version: 2.1.3
% 3.06/0.85 % (2920136)Termination reason: Instruction limit
% 3.06/0.85 % (2920136)Termination phase: Saturation
% 3.06/0.85 % (2920136)Time elapsed: 0.008 s
% 3.06/0.85 % (2920136)Peak memory usage: 12 MB
% 3.06/0.85 % (2920136)Instructions burned: 14 (million)
% 3.06/0.85 % (2920132)Instruction limit reached!
% 3.06/0.85 % (2920132)------------------------------
% 3.06/0.85 % (2920132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.85 % (2920132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.85 % (2920132)CaDiCaL version: 2.1.3
% 3.06/0.85 % (2920132)Termination reason: Instruction limit
% 3.06/0.85 % (2920132)Termination phase: Saturation
% 3.06/0.85 % (2920132)Time elapsed: 0.027 s
% 3.06/0.85 % (2920132)Peak memory usage: 12 MB
% 3.06/0.85 % (2920132)Instructions burned: 21 (million)
% 3.06/0.85 % (2920140)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3064599043:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.06/0.85 % (2920138)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=359283373:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.06/0.85 % (2920140)Refutation not found, incomplete strategy
% 3.06/0.85 % (2920140)------------------------------
% 3.06/0.85 % (2920140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.85 % (2920140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.85 % (2920140)CaDiCaL version: 2.1.3
% 3.06/0.85 % (2920140)Termination reason: Refutation not found, incomplete strategy
% 3.06/0.85 % (2920140)Time elapsed: 0.001 s
% 3.06/0.85 % (2920140)Peak memory usage: 11 MB
% 3.06/0.85 % (2920140)Instructions burned: 1 (million)
% 3.06/0.85 % (2920140)------------------------------
% 3.06/0.85 % (2920140)------------------------------
% 3.06/0.85 % (2920143)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=4241559315:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.06/0.85 % (2920133)Instruction limit reached!
% 3.06/0.85 % (2920133)------------------------------
% 3.06/0.85 % (2920133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.85 % (2920133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.85 % (2920133)CaDiCaL version: 2.1.3
% 3.06/0.85 % (2920133)Termination reason: Instruction limit
% 3.06/0.85 % (2920133)Termination phase: Saturation
% 3.06/0.85 % (2920133)Time elapsed: 0.075 s
% 3.06/0.85 % (2920133)Peak memory usage: 12 MB
% 3.06/0.85 % (2920133)Instructions burned: 202 (million)
% 3.06/0.85 % (2920141)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=922851005:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.06/0.85 % (2920146)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=3364334414:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.06/0.85 % (2920141)Instruction limit reached!
% 3.06/0.85 % (2920141)------------------------------
% 3.06/0.85 % (2920141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.85 % (2920141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.91 % (2920141)CaDiCaL version: 2.1.3
% 3.68/0.91 % (2920141)Termination reason: Instruction limit
% 3.68/0.91 % (2920141)Termination phase: Saturation
% 3.68/0.91 % (2920141)Time elapsed: 0.032 s
% 3.68/0.91 % (2920141)Peak memory usage: 12 MB
% 3.68/0.91 % (2920141)Instructions burned: 32 (million)
% 3.68/0.91 % (2920146)Instruction limit reached!
% 3.68/0.91 % (2920146)------------------------------
% 3.68/0.91 % (2920146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.91 % (2920146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.91 % (2920146)CaDiCaL version: 2.1.3
% 3.68/0.91 % (2920146)Termination reason: Instruction limit
% 3.68/0.91 % (2920146)Termination phase: Saturation
% 3.68/0.91 % (2920146)Time elapsed: 0.019 s
% 3.68/0.91 % (2920146)Peak memory usage: 12 MB
% 3.68/0.91 % (2920146)Instructions burned: 35 (million)
% 3.68/0.91 % (2920138)Instruction limit reached!
% 3.68/0.91 % (2920138)------------------------------
% 3.68/0.91 % (2920138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.91 % (2920138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.91 % (2920138)CaDiCaL version: 2.1.3
% 3.68/0.91 % (2920138)Termination reason: Instruction limit
% 3.68/0.91 % (2920138)Termination phase: Saturation
% 3.68/0.91 % (2920138)Time elapsed: 0.066 s
% 3.68/0.91 % (2920138)Peak memory usage: 12 MB
% 3.68/0.91 % (2920138)Instructions burned: 66 (million)
% 3.68/0.91 % (2920150)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.68/0.91 % (2920149)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1063863615:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.68/0.91 % (2920149)Refutation not found, incomplete strategy
% 3.68/0.91 % (2920149)------------------------------
% 3.68/0.91 % (2920149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.91 % (2920149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.91 % (2920149)CaDiCaL version: 2.1.3
% 3.68/0.91 % (2920149)Termination reason: Refutation not found, incomplete strategy
% 3.68/0.91 % (2920149)Time elapsed: 0.001 s
% 3.68/0.91 % (2920149)Peak memory usage: 11 MB
% 3.68/0.91 % (2920149)Instructions burned: 1 (million)
% 3.68/0.91 % (2920149)------------------------------
% 3.68/0.91 % (2920149)------------------------------
% 3.68/0.91 % (2920150)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3399943984:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.68/0.91 % (2920143)Instruction limit reached!
% 3.68/0.91 % (2920143)------------------------------
% 3.68/0.91 % (2920143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.91 % (2920143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.91 % (2920143)CaDiCaL version: 2.1.3
% 3.68/0.91 % (2920143)Termination reason: Instruction limit
% 3.68/0.91 % (2920143)Termination phase: Saturation
% 3.68/0.91 % (2920143)Time elapsed: 0.075 s
% 3.68/0.91 % (2920143)Peak memory usage: 12 MB
% 3.68/0.91 % (2920143)Instructions burned: 139 (million)
% 3.68/0.91 % (2920153)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1043457434:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.68/0.91 % (2920151)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2406715701:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.68/0.91 % (2920151)Refutation not found, incomplete strategy
% 3.68/0.91 % (2920151)------------------------------
% 3.68/0.91 % (2920151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.91 % (2920151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.91 % (2920151)CaDiCaL version: 2.1.3
% 3.68/0.91 % (2920151)Termination reason: Refutation not found, incomplete strategy
% 3.68/0.91 % (2920151)Time elapsed: 0.001 s
% 3.68/0.91 % (2920151)Peak memory usage: 11 MB
% 3.68/0.91 % (2920151)------------------------------
% 3.68/0.91 % (2920151)------------------------------
% 3.68/0.91 % (2920155)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3769708471:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.68/0.91 % (2920155)Refutation not found, incomplete strategy
% 3.68/0.91 % (2920155)------------------------------
% 3.68/0.91 % (2920155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.99 % (2920155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.99 % (2920155)CaDiCaL version: 2.1.3
% 3.68/0.99 % (2920155)Termination reason: Refutation not found, incomplete strategy
% 3.68/0.99 % (2920155)Time elapsed: 0.001 s
% 3.68/0.99 % (2920155)Peak memory usage: 11 MB
% 3.68/0.99 % (2920155)------------------------------
% 3.68/0.99 % (2920155)------------------------------
% 3.68/0.99 % (2920160)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=616245430:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.68/0.99 % (2920160)Refutation not found, incomplete strategy
% 3.68/0.99 % (2920160)------------------------------
% 3.68/0.99 % (2920160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.99 % (2920160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.99 % (2920160)CaDiCaL version: 2.1.3
% 3.68/0.99 % (2920160)Termination reason: Refutation not found, incomplete strategy
% 3.68/0.99 % (2920160)Time elapsed: 0.001 s
% 3.68/0.99 % (2920160)Peak memory usage: 12 MB
% 3.68/0.99 % (2920160)------------------------------
% 3.68/0.99 % (2920160)------------------------------
% 3.68/0.99 % (2920158)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4212532248:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 3.68/0.99 % (2920153)Instruction limit reached!
% 3.68/0.99 % (2920153)------------------------------
% 3.68/0.99 % (2920153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.99 % (2920153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.99 % (2920153)CaDiCaL version: 2.1.3
% 3.68/0.99 % (2920153)Termination reason: Instruction limit
% 3.68/0.99 % (2920153)Termination phase: Saturation
% 3.68/0.99 % (2920153)Time elapsed: 0.045 s
% 3.68/0.99 % (2920153)Peak memory usage: 12 MB
% 3.68/0.99 % (2920153)Instructions burned: 97 (million)
% 3.68/0.99 % (2920158)Refutation not found, incomplete strategy
% 3.68/0.99 % (2920158)------------------------------
% 3.68/0.99 % (2920158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.99 % (2920158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.99 % (2920158)CaDiCaL version: 2.1.3
% 3.68/0.99 % (2920158)Termination reason: Refutation not found, incomplete strategy
% 3.68/0.99 % (2920158)Time elapsed: 0.001 s
% 3.68/0.99 % (2920158)Peak memory usage: 11 MB
% 3.68/0.99 % (2920158)------------------------------
% 3.68/0.99 % (2920158)------------------------------
% 3.68/0.99 % (2920122)Instruction limit reached!
% 3.68/0.99 % (2920122)------------------------------
% 3.68/0.99 % (2920122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.99 % (2920122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.99 % (2920122)CaDiCaL version: 2.1.3
% 3.68/0.99 % (2920122)Termination reason: Instruction limit
% 3.68/0.99 % (2920122)Termination phase: Saturation
% 3.68/0.99 % (2920122)Time elapsed: 0.222 s
% 3.68/0.99 % (2920122)Peak memory usage: 13 MB
% 3.68/0.99 % (2920122)Instructions burned: 317 (million)
% 3.68/0.99 % (2920162)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3775954103:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 3.68/0.99 % (2920162)Refutation not found, incomplete strategy
% 3.68/0.99 % (2920162)------------------------------
% 3.68/0.99 % (2920162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.99 % (2920162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.99 % (2920162)CaDiCaL version: 2.1.3
% 3.68/0.99 % (2920162)Termination reason: Refutation not found, incomplete strategy
% 3.68/0.99 % (2920162)Time elapsed: 0.001 s
% 3.68/0.99 % (2920162)Peak memory usage: 11 MB
% 3.68/0.99 % (2920162)Instructions burned: 2 (million)
% 3.68/0.99 % (2920162)------------------------------
% 3.68/0.99 % (2920162)------------------------------
% 3.68/0.99 % (2920168)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1646364085:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.68/0.99 % (2920164)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=975475616:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.68/0.99 % (2920165)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=839822064:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.68/1.04 % (2920165)Refutation not found, incomplete strategy
% 3.68/1.04 % (2920165)------------------------------
% 3.68/1.04 % (2920165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/1.04 % (2920165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.04 % (2920165)CaDiCaL version: 2.1.3
% 3.68/1.04 % (2920165)Termination reason: Refutation not found, incomplete strategy
% 3.68/1.04 % (2920165)Time elapsed: 0.001 s
% 3.68/1.04 % (2920165)Peak memory usage: 12 MB
% 3.68/1.04 % (2920165)Instructions burned: 1 (million)
% 3.68/1.04 % (2920165)------------------------------
% 3.68/1.04 % (2920165)------------------------------
% 3.68/1.04 % (2920166)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2556362678:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.68/1.04 % (2920150)Instruction limit reached!
% 3.68/1.04 % (2920150)------------------------------
% 3.68/1.04 % (2920150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/1.05 % (2920150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.05 % (2920150)CaDiCaL version: 2.1.3
% 3.68/1.05 % (2920150)Termination reason: Instruction limit
% 3.68/1.05 % (2920150)Termination phase: Saturation
% 3.68/1.05 % (2920150)Time elapsed: 0.128 s
% 3.68/1.05 % (2920150)Peak memory usage: 12 MB
% 3.68/1.05 % (2920150)Instructions burned: 180 (million)
% 3.68/1.05 % (2920172)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=1030274603:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.68/1.05 % (2920123)Instruction limit reached!
% 3.68/1.05 % (2920123)------------------------------
% 3.68/1.05 % (2920123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/1.05 % (2920123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.05 % (2920123)CaDiCaL version: 2.1.3
% 3.68/1.05 % (2920123)Termination reason: Instruction limit
% 3.68/1.05 % (2920123)Termination phase: Saturation
% 3.68/1.05 % (2920123)Time elapsed: 0.304 s
% 3.68/1.05 % (2920123)Peak memory usage: 13 MB
% 3.68/1.05 % (2920123)Instructions burned: 854 (million)
% 3.68/1.05 % (2920164)Instruction limit reached!
% 3.68/1.05 % (2920164)------------------------------
% 3.68/1.05 % (2920164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/1.05 % (2920164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.05 % (2920164)CaDiCaL version: 2.1.3
% 3.68/1.05 % (2920164)Termination reason: Instruction limit
% 3.68/1.05 % (2920164)Termination phase: Saturation
% 3.68/1.05 % (2920164)Time elapsed: 0.038 s
% 3.68/1.05 % (2920164)Peak memory usage: 12 MB
% 3.68/1.05 % (2920164)Instructions burned: 44 (million)
% 3.68/1.05 % (2920168)Instruction limit reached!
% 3.68/1.05 % (2920168)------------------------------
% 3.68/1.05 % (2920168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/1.05 % (2920168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.05 % (2920168)CaDiCaL version: 2.1.3
% 3.68/1.05 % (2920168)Termination reason: Instruction limit
% 3.68/1.05 % (2920168)Termination phase: Saturation
% 3.68/1.05 % (2920168)Time elapsed: 0.046 s
% 3.68/1.05 % (2920168)Peak memory usage: 12 MB
% 3.68/1.05 % (2920168)Instructions burned: 97 (million)
% 3.68/1.05 % (2920174)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=3935457811:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2993 on theBenchmark for (2993ds/105Mi)
% 3.68/1.05 % (2920176)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=3499790624:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 3.68/1.05 % (2920176)Refutation not found, incomplete strategy
% 3.68/1.05 % (2920176)------------------------------
% 3.68/1.05 % (2920176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/1.05 % (2920176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.20 % (2920176)CaDiCaL version: 2.1.3
% 5.22/1.20 % (2920176)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.20 % (2920176)Time elapsed: 0.001 s
% 5.22/1.20 % (2920176)Peak memory usage: 12 MB
% 5.22/1.20 % (2920176)------------------------------
% 5.22/1.20 % (2920176)------------------------------
% 5.22/1.20 % (2920177)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=44441640:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 5.22/1.20 % (2920177)Refutation not found, incomplete strategy
% 5.22/1.20 % (2920177)------------------------------
% 5.22/1.20 % (2920177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.20 % (2920177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.20 % (2920177)CaDiCaL version: 2.1.3
% 5.22/1.20 % (2920177)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.20 % (2920177)Time elapsed: 0.001 s
% 5.22/1.20 % (2920177)Peak memory usage: 11 MB
% 5.22/1.20 % (2920177)------------------------------
% 5.22/1.20 % (2920177)------------------------------
% 5.22/1.20 % (2920178)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2140466437:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 5.22/1.20 % (2920172)Instruction limit reached!
% 5.22/1.20 % (2920172)------------------------------
% 5.22/1.20 % (2920172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.20 % (2920172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.20 % (2920172)CaDiCaL version: 2.1.3
% 5.22/1.20 % (2920172)Termination reason: Instruction limit
% 5.22/1.20 % (2920172)Termination phase: Saturation
% 5.22/1.20 % (2920172)Time elapsed: 0.045 s
% 5.22/1.20 % (2920172)Peak memory usage: 12 MB
% 5.22/1.20 % (2920172)Instructions burned: 66 (million)
% 5.22/1.20 % (2920183)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=156399826:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/91Mi)
% 5.22/1.20 % (2920181)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=1938972854:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 5.22/1.20 % (2920101)Instruction limit reached!
% 5.22/1.20 % (2920101)------------------------------
% 5.22/1.20 % (2920101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.20 % (2920101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.20 % (2920101)CaDiCaL version: 2.1.3
% 5.22/1.20 % (2920101)Termination reason: Instruction limit
% 5.22/1.20 % (2920101)Termination phase: Saturation
% 5.22/1.20 % (2920101)Time elapsed: 0.429 s
% 5.22/1.20 % (2920101)Peak memory usage: 13 MB
% 5.22/1.20 % (2920101)Instructions burned: 1241 (million)
% 5.22/1.20 % (2920185)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1607295324:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2993 on theBenchmark for (2993ds/66Mi)
% 5.22/1.20 % (2920188)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4219802521:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 5.22/1.20 % (2920185)Refutation not found, incomplete strategy
% 5.22/1.20 % (2920185)------------------------------
% 5.22/1.20 % (2920185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.20 % (2920185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.20 % (2920185)CaDiCaL version: 2.1.3
% 5.22/1.20 % (2920185)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.20 % (2920185)Time elapsed: 0.004 s
% 5.22/1.20 % (2920185)Peak memory usage: 11 MB
% 5.22/1.20 % (2920185)------------------------------
% 5.22/1.20 % (2920185)------------------------------
% 5.22/1.20 % (2920188)Instruction limit reached!
% 5.22/1.20 % (2920188)------------------------------
% 5.22/1.20 % (2920188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.20 % (2920188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.20 % (2920188)CaDiCaL version: 2.1.3
% 5.22/1.20 % (2920188)Termination reason: Instruction limit
% 5.22/1.20 % (2920188)Termination phase: Saturation
% 5.22/1.20 % (2920188)Time elapsed: 0.018 s
% 5.22/1.20 % (2920188)Peak memory usage: 12 MB
% 5.22/1.20 % (2920188)Instructions burned: 22 (million)
% 5.22/1.20 % (2920181)Instruction limit reached!
% 5.22/1.25 % (2920181)------------------------------
% 5.22/1.25 % (2920181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.25 % (2920181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.25 % (2920181)CaDiCaL version: 2.1.3
% 5.22/1.25 % (2920181)Termination reason: Instruction limit
% 5.22/1.25 % (2920181)Termination phase: Saturation
% 5.22/1.25 % (2920181)Time elapsed: 0.041 s
% 5.22/1.25 % (2920181)Peak memory usage: 12 MB
% 5.22/1.25 % (2920181)Instructions burned: 34 (million)
% 5.22/1.25 % (2920183)Instruction limit reached!
% 5.22/1.25 % (2920183)------------------------------
% 5.22/1.25 % (2920183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.25 % (2920183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.25 % (2920183)CaDiCaL version: 2.1.3
% 5.22/1.25 % (2920183)Termination reason: Instruction limit
% 5.22/1.25 % (2920183)Termination phase: Saturation
% 5.22/1.25 % (2920183)Time elapsed: 0.055 s
% 5.22/1.25 % (2920183)Peak memory usage: 12 MB
% 5.22/1.25 % (2920183)Instructions burned: 92 (million)
% 5.22/1.25 % (2920174)Instruction limit reached!
% 5.22/1.25 % (2920174)------------------------------
% 5.22/1.25 % (2920174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.25 % (2920174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.25 % (2920174)CaDiCaL version: 2.1.3
% 5.22/1.25 % (2920174)Termination reason: Instruction limit
% 5.22/1.25 % (2920174)Termination phase: Saturation
% 5.22/1.25 % (2920174)Time elapsed: 0.092 s
% 5.22/1.25 % (2920174)Peak memory usage: 12 MB
% 5.22/1.25 % (2920174)Instructions burned: 107 (million)
% 5.22/1.25 % (2920192)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2049409306:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 5.22/1.25 % (2920192)Refutation not found, incomplete strategy
% 5.22/1.25 % (2920192)------------------------------
% 5.22/1.25 % (2920192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.25 % (2920192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.25 % (2920192)CaDiCaL version: 2.1.3
% 5.22/1.25 % (2920192)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.25 % (2920192)Time elapsed: 0.001 s
% 5.22/1.25 % (2920192)Peak memory usage: 11 MB
% 5.22/1.25 % (2920192)------------------------------
% 5.22/1.25 % (2920192)------------------------------
% 5.22/1.25 % (2920194)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=2959371305:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/340Mi)
% 5.22/1.25 % (2920195)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=806475578:i=227:sd=1:bd=all:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/227Mi)
% 5.22/1.25 % (2920195)Refutation not found, incomplete strategy
% 5.22/1.25 % (2920195)------------------------------
% 5.22/1.25 % (2920195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.25 % (2920195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.25 % (2920195)CaDiCaL version: 2.1.3
% 5.22/1.25 % (2920195)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.25 % (2920195)Time elapsed: 0.001 s
% 5.22/1.25 % (2920195)Peak memory usage: 11 MB
% 5.22/1.25 % (2920195)------------------------------
% 5.22/1.25 % (2920195)------------------------------
% 5.22/1.25 % (2920191)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=3265572708:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 5.22/1.25 % (2920197)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.22/1.25 % (2920197)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=670977100:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/373Mi)
% 5.22/1.25 % (2920193)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.22/1.25 % (2920200)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2290901812:i=116:ep=RSTC:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/116Mi)
% 5.22/1.25 % (2920193)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3299502210:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/137Mi)
% 5.80/1.30 % (2920200)Instruction limit reached!
% 5.80/1.30 % (2920200)------------------------------
% 5.80/1.30 % (2920200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.80/1.30 % (2920200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.30 % (2920200)CaDiCaL version: 2.1.3
% 5.80/1.30 % (2920200)Termination reason: Instruction limit
% 5.80/1.30 % (2920200)Termination phase: Saturation
% 5.80/1.30 % (2920200)Time elapsed: 0.049 s
% 5.80/1.30 % (2920200)Peak memory usage: 12 MB
% 5.80/1.30 % (2920200)Instructions burned: 118 (million)
% 5.80/1.30 % (2920205)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3901524714:i=575:rtra=on_2991 on theBenchmark for (2991ds/575Mi)
% 5.80/1.30 % (2920205)Refutation not found, incomplete strategy
% 5.80/1.30 % (2920205)------------------------------
% 5.80/1.30 % (2920205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.80/1.30 % (2920205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.30 % (2920205)CaDiCaL version: 2.1.3
% 5.80/1.30 % (2920205)Termination reason: Refutation not found, incomplete strategy
% 5.80/1.30 % (2920205)Time elapsed: 0.002 s
% 5.80/1.30 % (2920205)Peak memory usage: 11 MB
% 5.80/1.30 % (2920205)Instructions burned: 1 (million)
% 5.80/1.30 % (2920205)------------------------------
% 5.80/1.30 % (2920205)------------------------------
% 5.80/1.30 % (2920166)Instruction limit reached!
% 5.80/1.30 % (2920166)------------------------------
% 5.80/1.30 % (2920166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.80/1.30 % (2920166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.30 % (2920166)CaDiCaL version: 2.1.3
% 5.80/1.30 % (2920166)Termination reason: Instruction limit
% 5.80/1.30 % (2920166)Termination phase: Saturation
% 5.80/1.30 % (2920166)Time elapsed: 0.264 s
% 5.80/1.30 % (2920166)Peak memory usage: 12 MB
% 5.80/1.30 % (2920166)Instructions burned: 451 (million)
% 5.80/1.30 % (2920209)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=624980460: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_2991 on theBenchmark for (2991ds/9840Mi)
% 5.80/1.30 % (2920193)Instruction limit reached!
% 5.80/1.30 % (2920193)------------------------------
% 5.80/1.30 % (2920193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.80/1.30 % (2920193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.30 % (2920193)CaDiCaL version: 2.1.3
% 5.80/1.30 % (2920193)Termination reason: Instruction limit
% 5.80/1.30 % (2920193)Termination phase: Saturation
% 5.80/1.30 % (2920193)Time elapsed: 0.108 s
% 5.80/1.30 % (2920193)Peak memory usage: 12 MB
% 5.80/1.30 % (2920193)Instructions burned: 139 (million)
% 5.80/1.30 % (2920208)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1523915225:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2991 on theBenchmark for (2991ds/270Mi)
% 5.80/1.30 % (2920194)Instruction limit reached!
% 5.80/1.30 % (2920194)------------------------------
% 5.80/1.30 % (2920194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.80/1.30 % (2920194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.30 % (2920194)CaDiCaL version: 2.1.3
% 5.80/1.30 % (2920194)Termination reason: Instruction limit
% 5.80/1.30 % (2920194)Termination phase: Saturation
% 5.80/1.30 % (2920194)Time elapsed: 0.153 s
% 5.80/1.30 % (2920194)Peak memory usage: 13 MB
% 5.80/1.30 % (2920194)Instructions burned: 341 (million)
% 5.80/1.30 % (2920213)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
% 5.80/1.30 % (2920213)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=27538234:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/270Mi)
% 5.80/1.30 % (2920197)Instruction limit reached!
% 5.80/1.36 % (2920197)------------------------------
% 5.80/1.36 % (2920197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.80/1.36 % (2920197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.36 % (2920197)CaDiCaL version: 2.1.3
% 5.80/1.36 % (2920197)Termination reason: Instruction limit
% 5.80/1.36 % (2920197)Termination phase: Saturation
% 5.80/1.36 % (2920197)Time elapsed: 0.174 s
% 5.80/1.36 % (2920197)Peak memory usage: 12 MB
% 5.80/1.36 % (2920197)Instructions burned: 373 (million)
% 5.80/1.36 % (2920212)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3491779715:i=421:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/421Mi)
% 5.80/1.36 % (2920212)Refutation not found, incomplete strategy
% 5.80/1.36 % (2920212)------------------------------
% 5.80/1.36 % (2920212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.80/1.36 % (2920212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.36 % (2920212)CaDiCaL version: 2.1.3
% 5.80/1.36 % (2920212)Termination reason: Refutation not found, incomplete strategy
% 5.80/1.36 % (2920212)Time elapsed: 0.0000 s
% 5.80/1.36 % (2920212)Peak memory usage: 11 MB
% 5.80/1.36 % (2920212)------------------------------
% 5.80/1.36 % (2920212)------------------------------
% 5.80/1.36 % (2920178)Instruction limit reached!
% 5.80/1.36 % (2920178)------------------------------
% 5.80/1.36 % (2920178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.80/1.36 % (2920178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.36 % (2920178)CaDiCaL version: 2.1.3
% 5.80/1.36 % (2920178)Termination reason: Instruction limit
% 5.80/1.36 % (2920178)Termination phase: Saturation
% 5.80/1.36 % (2920178)Time elapsed: 0.283 s
% 5.80/1.36 % (2920178)Peak memory usage: 13 MB
% 5.80/1.36 % (2920178)Instructions burned: 496 (million)
% 5.80/1.36 % (2920217)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.80/1.36 % (2920217)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
% 5.80/1.36 % (2920217)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=1724158526:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2990 on theBenchmark for (2990ds/1440Mi)
% 5.80/1.36 % (2920216)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=704285702:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/31Mi)
% 5.80/1.36 % (2920218)dis+10_2_sil=128000:si=on:random_seed=3678142658:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2990 on theBenchmark for (2990ds/339Mi)
% 5.80/1.36 % (2920218)Refutation not found, incomplete strategy
% 5.80/1.36 % (2920218)------------------------------
% 5.80/1.36 % (2920218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.80/1.36 % (2920218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.36 % (2920218)CaDiCaL version: 2.1.3
% 5.80/1.36 % (2920218)Termination reason: Refutation not found, incomplete strategy
% 5.80/1.36 % (2920218)Time elapsed: 0.0000 s
% 5.80/1.36 % (2920218)Peak memory usage: 11 MB
% 5.80/1.36 % (2920218)------------------------------
% 5.80/1.36 % (2920218)------------------------------
% 5.80/1.36 % (2920216)Instruction limit reached!
% 5.80/1.36 % (2920216)------------------------------
% 5.80/1.36 % (2920216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.80/1.36 % (2920216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.36 % (2920216)CaDiCaL version: 2.1.3
% 5.80/1.36 % (2920216)Termination reason: Instruction limit
% 5.80/1.36 % (2920216)Termination phase: Saturation
% 5.80/1.36 % (2920216)Time elapsed: 0.016 s
% 5.80/1.36 % (2920216)Peak memory usage: 12 MB
% 5.80/1.36 % (2920216)Instructions burned: 32 (million)
% 5.80/1.36 % (2920222)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1772903879:i=111:add=on:fgj=on:rtra=on:fdi=1024_2990 on theBenchmark for (2990ds/111Mi)
% 5.80/1.36 % (2920223)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=1776002046:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/122Mi)
% 6.21/1.46 % (2920223)Refutation not found, incomplete strategy
% 6.21/1.46 % (2920223)------------------------------
% 6.21/1.46 % (2920223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.46 % (2920223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.46 % (2920223)CaDiCaL version: 2.1.3
% 6.21/1.46 % (2920223)Termination reason: Refutation not found, incomplete strategy
% 6.21/1.46 % (2920223)Time elapsed: 0.001 s
% 6.21/1.46 % (2920223)Peak memory usage: 11 MB
% 6.21/1.46 % (2920223)------------------------------
% 6.21/1.46 % (2920223)------------------------------
% 6.21/1.46 % (2920226)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=447508224:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/136Mi)
% 6.21/1.46 % (2920226)Refutation not found, incomplete strategy
% 6.21/1.46 % (2920226)------------------------------
% 6.21/1.46 % (2920226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.46 % (2920226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.46 % (2920226)CaDiCaL version: 2.1.3
% 6.21/1.46 % (2920226)Termination reason: Refutation not found, incomplete strategy
% 6.21/1.46 % (2920226)Time elapsed: 0.001 s
% 6.21/1.46 % (2920226)Peak memory usage: 11 MB
% 6.21/1.46 % (2920226)Instructions burned: 1 (million)
% 6.21/1.46 % (2920191)Instruction limit reached!
% 6.21/1.46 % (2920191)------------------------------
% 6.21/1.46 % (2920191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.46 % (2920191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.46 % (2920191)CaDiCaL version: 2.1.3
% 6.21/1.46 % (2920191)Termination reason: Instruction limit
% 6.21/1.46 % (2920191)Termination phase: Saturation
% 6.21/1.46 % (2920191)Time elapsed: 0.263 s
% 6.21/1.46 % (2920191)Peak memory usage: 14 MB
% 6.21/1.46 % (2920191)Instructions burned: 338 (million)
% 6.21/1.46 % (2920226)------------------------------
% 6.21/1.46 % (2920226)------------------------------
% 6.21/1.46 % (2920229)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=774362202:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/1254Mi)
% 6.21/1.46 % (2920229)Refutation not found, incomplete strategy
% 6.21/1.46 % (2920229)------------------------------
% 6.21/1.46 % (2920229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.46 % (2920229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.46 % (2920229)CaDiCaL version: 2.1.3
% 6.21/1.46 % (2920229)Termination reason: Refutation not found, incomplete strategy
% 6.21/1.46 % (2920229)Time elapsed: 0.001 s
% 6.21/1.46 % (2920229)Peak memory usage: 12 MB
% 6.21/1.46 % (2920229)Instructions burned: 3 (million)
% 6.21/1.46 % (2920229)------------------------------
% 6.21/1.46 % (2920229)------------------------------
% 6.21/1.46 % (2920208)Instruction limit reached!
% 6.21/1.46 % (2920208)------------------------------
% 6.21/1.46 % (2920208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.46 % (2920208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.46 % (2920208)CaDiCaL version: 2.1.3
% 6.21/1.46 % (2920208)Termination reason: Instruction limit
% 6.21/1.46 % (2920208)Termination phase: Saturation
% 6.21/1.46 % (2920208)Time elapsed: 0.137 s
% 6.21/1.46 % (2920208)Peak memory usage: 12 MB
% 6.21/1.46 % (2920208)Instructions burned: 270 (million)
% 6.21/1.46 % (2920228)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3121470611:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/232Mi)
% 6.21/1.46 % (2920228)Refutation not found, incomplete strategy
% 6.21/1.46 % (2920228)------------------------------
% 6.21/1.46 % (2920228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.46 % (2920228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.46 % (2920228)CaDiCaL version: 2.1.3
% 6.21/1.46 % (2920228)Termination reason: Refutation not found, incomplete strategy
% 6.21/1.46 % (2920228)Time elapsed: 0.001 s
% 6.21/1.46 % (2920228)Peak memory usage: 11 MB
% 6.21/1.46 % (2920228)------------------------------
% 6.21/1.46 % (2920228)------------------------------
% 6.21/1.46 % (2920222)Instruction limit reached!
% 6.21/1.46 % (2920222)------------------------------
% 6.77/1.60 % (2920222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.60 % (2920222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.60 % (2920222)CaDiCaL version: 2.1.3
% 6.77/1.60 % (2920222)Termination reason: Instruction limit
% 6.77/1.60 % (2920222)Termination phase: Saturation
% 6.77/1.60 % (2920222)Time elapsed: 0.052 s
% 6.77/1.60 % (2920222)Peak memory usage: 12 MB
% 6.77/1.60 % (2920222)Instructions burned: 112 (million)
% 6.77/1.60 % (2920231)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.77/1.60 % (2920231)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=2812406951:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2989 on theBenchmark for (2989ds/281Mi)
% 6.77/1.60 % (2920232)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4142592034:i=619:add=on:rtra=on_2989 on theBenchmark for (2989ds/619Mi)
% 6.77/1.60 % (2920232)Refutation not found, incomplete strategy
% 6.77/1.60 % (2920232)------------------------------
% 6.77/1.60 % (2920232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.60 % (2920232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.60 % (2920232)CaDiCaL version: 2.1.3
% 6.77/1.60 % (2920232)Termination reason: Refutation not found, incomplete strategy
% 6.77/1.60 % (2920232)Time elapsed: 0.002 s
% 6.77/1.60 % (2920232)Peak memory usage: 12 MB
% 6.77/1.60 % (2920232)Instructions burned: 3 (million)
% 6.77/1.60 % (2920232)------------------------------
% 6.77/1.60 % (2920232)------------------------------
% 6.77/1.60 % (2920235)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2360410039:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/212Mi)
% 6.77/1.60 % (2920234)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=2036846671:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/865Mi)
% 6.77/1.60 % (2920235)Refutation not found, incomplete strategy
% 6.77/1.60 % (2920235)------------------------------
% 6.77/1.60 % (2920235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.60 % (2920235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.60 % (2920235)CaDiCaL version: 2.1.3
% 6.77/1.60 % (2920235)Termination reason: Refutation not found, incomplete strategy
% 6.77/1.60 % (2920235)Time elapsed: 0.001 s
% 6.77/1.60 % (2920235)Peak memory usage: 11 MB
% 6.77/1.60 % (2920235)------------------------------
% 6.77/1.60 % (2920235)------------------------------
% 6.77/1.60 % (2920238)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2697857963:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/130Mi)
% 6.77/1.60 % (2920238)Refutation not found, incomplete strategy
% 6.77/1.60 % (2920238)------------------------------
% 6.77/1.60 % (2920238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.60 % (2920238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.60 % (2920238)CaDiCaL version: 2.1.3
% 6.77/1.60 % (2920238)Termination reason: Refutation not found, incomplete strategy
% 6.77/1.60 % (2920238)Time elapsed: 0.001 s
% 6.77/1.60 % (2920238)Peak memory usage: 11 MB
% 6.77/1.60 % (2920238)------------------------------
% 6.77/1.60 % (2920238)------------------------------
% 6.77/1.60 % (2920241)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4275062958:st=1.5:i=346:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/346Mi)
% 6.77/1.60 % (2920241)Refutation not found, incomplete strategy
% 6.77/1.60 % (2920241)------------------------------
% 6.77/1.60 % (2920241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.60 % (2920241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.60 % (2920241)CaDiCaL version: 2.1.3
% 6.77/1.60 % (2920241)Termination reason: Refutation not found, incomplete strategy
% 6.77/1.60 % (2920241)Time elapsed: 0.001 s
% 6.77/1.60 % (2920241)Peak memory usage: 11 MB
% 6.77/1.60 % (2920241)Instructions burned: 1 (million)
% 6.77/1.60 % (2920241)------------------------------
% 6.77/1.60 % (2920241)------------------------------
% 6.77/1.60 % (2920213)Instruction limit reached!
% 6.77/1.60 % (2920213)------------------------------
% 6.95/1.78 % (2920213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/1.78 % (2920213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.78 % (2920213)CaDiCaL version: 2.1.3
% 6.95/1.78 % (2920213)Termination reason: Instruction limit
% 6.95/1.78 % (2920213)Termination phase: Saturation
% 6.95/1.78 % (2920213)Time elapsed: 0.177 s
% 6.95/1.78 % (2920213)Peak memory usage: 12 MB
% 6.95/1.78 % (2920213)Instructions burned: 270 (million)
% 6.95/1.78 % (2920244)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=555609601:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/152Mi)
% 6.95/1.78 % (2920246)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3538845543:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/387Mi)
% 6.95/1.78 % (2920246)Refutation not found, incomplete strategy
% 6.95/1.78 % (2920246)------------------------------
% 6.95/1.78 % (2920246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/1.78 % (2920246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.78 % (2920246)CaDiCaL version: 2.1.3
% 6.95/1.78 % (2920246)Termination reason: Refutation not found, incomplete strategy
% 6.95/1.78 % (2920246)Time elapsed: 0.001 s
% 6.95/1.78 % (2920246)Peak memory usage: 11 MB
% 6.95/1.78 % (2920246)Instructions burned: 1 (million)
% 6.95/1.78 % (2920246)------------------------------
% 6.95/1.78 % (2920246)------------------------------
% 6.95/1.78 % (2920245)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3714080204:i=75:ep=R:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/75Mi)
% 6.95/1.78 % (2920231)Instruction limit reached!
% 6.95/1.78 % (2920231)------------------------------
% 6.95/1.78 % (2920231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/1.78 % (2920231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.78 % (2920231)CaDiCaL version: 2.1.3
% 6.95/1.78 % (2920231)Termination reason: Instruction limit
% 6.95/1.78 % (2920231)Termination phase: Saturation
% 6.95/1.78 % (2920231)Time elapsed: 0.102 s
% 6.95/1.78 % (2920231)Peak memory usage: 13 MB
% 6.95/1.78 % (2920231)Instructions burned: 282 (million)
% 6.95/1.78 % (2920249)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=3706717603:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2988 on theBenchmark for (2988ds/148Mi)
% 6.95/1.78 % (2920252)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=4250252632:i=161:piset=and:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/161Mi)
% 6.95/1.78 % (2920244)Instruction limit reached!
% 6.95/1.78 % (2920244)------------------------------
% 6.95/1.78 % (2920244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/1.78 % (2920244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.78 % (2920244)CaDiCaL version: 2.1.3
% 6.95/1.78 % (2920244)Termination reason: Instruction limit
% 6.95/1.78 % (2920244)Termination phase: Saturation
% 6.95/1.78 % (2920244)Time elapsed: 0.054 s
% 6.95/1.78 % (2920244)Peak memory usage: 12 MB
% 6.95/1.78 % (2920244)Instructions burned: 155 (million)
% 6.95/1.78 % (2920254)lrs+10_1_sil=128000:si=on:random_seed=1474505161:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/888Mi)
% 6.95/1.78 % (2920254)Refutation not found, incomplete strategy
% 6.95/1.78 % (2920254)------------------------------
% 6.95/1.78 % (2920254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/1.78 % (2920254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.78 % (2920254)CaDiCaL version: 2.1.3
% 6.95/1.78 % (2920254)Termination reason: Refutation not found, incomplete strategy
% 6.95/1.78 % (2920254)Time elapsed: 0.001 s
% 6.95/1.78 % (2920254)Peak memory usage: 11 MB
% 6.95/1.78 % (2920254)------------------------------
% 6.95/1.78 % (2920254)------------------------------
% 6.95/1.78 % (2920245)Instruction limit reached!
% 6.95/1.78 % (2920245)------------------------------
% 6.95/1.78 % (2920245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/1.78 % (2920245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.78 % (2920245)CaDiCaL version: 2.1.3
% 6.95/1.78 % (2920245)Termination reason: Instruction limit
% 6.95/1.78 % (2920245)Termination phase: Saturation
% 7.73/2.03 % (2920245)Time elapsed: 0.066 s
% 7.73/2.03 % (2920245)Peak memory usage: 12 MB
% 7.73/2.03 % (2920245)Instructions burned: 76 (million)
% 7.73/2.03 % (2920249)Instruction limit reached!
% 7.73/2.03 % (2920249)------------------------------
% 7.73/2.03 % (2920249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/2.03 % (2920249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.03 % (2920249)CaDiCaL version: 2.1.3
% 7.73/2.03 % (2920249)Termination reason: Instruction limit
% 7.73/2.03 % (2920249)Termination phase: Saturation
% 7.73/2.03 % (2920249)Time elapsed: 0.062 s
% 7.73/2.03 % (2920249)Peak memory usage: 12 MB
% 7.73/2.03 % (2920249)Instructions burned: 149 (million)
% 7.73/2.03 % (2920258)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=887622290:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2988 on theBenchmark for (2988ds/93Mi)
% 7.73/2.03 % (2920257)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=3910251927:i=88:s2at=3:nm=2:rtra=on:rawr=on_2988 on theBenchmark for (2988ds/88Mi)
% 7.73/2.03 % (2920256)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=1249686129:i=136:add=on:ins=4:rtra=on:sup=off_2988 on theBenchmark for (2988ds/136Mi)
% 7.73/2.03 % (2920258)Instruction limit reached!
% 7.73/2.03 % (2920258)------------------------------
% 7.73/2.03 % (2920258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/2.03 % (2920258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.03 % (2920258)CaDiCaL version: 2.1.3
% 7.73/2.03 % (2920258)Termination reason: Instruction limit
% 7.73/2.03 % (2920258)Termination phase: Saturation
% 7.73/2.03 % (2920258)Time elapsed: 0.024 s
% 7.73/2.03 % (2920258)Peak memory usage: 12 MB
% 7.73/2.03 % (2920258)Instructions burned: 98 (million)
% 7.73/2.03 % (2920252)Instruction limit reached!
% 7.73/2.03 % (2920252)------------------------------
% 7.73/2.03 % (2920252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/2.03 % (2920252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.03 % (2920252)CaDiCaL version: 2.1.3
% 7.73/2.03 % (2920252)Termination reason: Instruction limit
% 7.73/2.03 % (2920252)Termination phase: Saturation
% 7.73/2.03 % (2920252)Time elapsed: 0.087 s
% 7.73/2.03 % (2920252)Peak memory usage: 12 MB
% 7.73/2.03 % (2920252)Instructions burned: 162 (million)
% 7.73/2.03 % (2920261)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3167813255:i=2186:rtra=on:ixr=off_2987 on theBenchmark for (2987ds/2186Mi)
% 7.73/2.03 % (2920263)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1024363966:s2a=on:i=240:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/240Mi)
% 7.73/2.03 % (2920257)Instruction limit reached!
% 7.73/2.03 % (2920257)------------------------------
% 7.73/2.03 % (2920257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/2.03 % (2920257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.03 % (2920257)CaDiCaL version: 2.1.3
% 7.73/2.03 % (2920257)Termination reason: Instruction limit
% 7.73/2.03 % (2920257)Termination phase: Saturation
% 7.73/2.03 % (2920257)Time elapsed: 0.068 s
% 7.73/2.03 % (2920257)Peak memory usage: 12 MB
% 7.73/2.03 % (2920257)Instructions burned: 88 (million)
% 7.73/2.03 % (2920263)Instruction limit reached!
% 7.73/2.03 % (2920263)------------------------------
% 7.73/2.03 % (2920263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/2.03 % (2920263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.03 % (2920263)CaDiCaL version: 2.1.3
% 7.73/2.03 % (2920263)Termination reason: Instruction limit
% 7.73/2.03 % (2920263)Termination phase: Saturation
% 7.73/2.03 % (2920263)Time elapsed: 0.051 s
% 7.73/2.03 % (2920263)Peak memory usage: 12 MB
% 7.73/2.03 % (2920263)Instructions burned: 242 (million)
% 7.73/2.03 % (2920266)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=1264778073:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2986 on theBenchmark for (2986ds/805Mi)
% 7.73/2.03 % (2920256)Instruction limit reached!
% 7.73/2.03 % (2920256)------------------------------
% 7.73/2.03 % (2920256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.53/2.16 % (2920256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.16 % (2920256)CaDiCaL version: 2.1.3
% 11.53/2.16 % (2920256)Termination reason: Instruction limit
% 11.53/2.16 % (2920256)Termination phase: Saturation
% 11.53/2.16 % (2920256)Time elapsed: 0.097 s
% 11.53/2.16 % (2920256)Peak memory usage: 12 MB
% 11.53/2.16 % (2920256)Instructions burned: 136 (million)
% 11.53/2.16 % (2920267)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 11.53/2.16 % (2920267)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=1661518239:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2986 on theBenchmark for (2986ds/391Mi)
% 11.53/2.16 % (2920267)Refutation not found, incomplete strategy
% 11.53/2.16 % (2920267)------------------------------
% 11.53/2.16 % (2920267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.53/2.16 % (2920267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.16 % (2920267)CaDiCaL version: 2.1.3
% 11.53/2.16 % (2920267)Termination reason: Refutation not found, incomplete strategy
% 11.53/2.16 % (2920267)Time elapsed: 0.0000 s
% 11.53/2.16 % (2920267)Peak memory usage: 11 MB
% 11.53/2.16 % (2920267)Instructions burned: 2 (million)
% 11.53/2.16 % (2920267)------------------------------
% 11.53/2.16 % (2920267)------------------------------
% 11.53/2.16 % (2920271)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1614559610:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/314Mi)
% 11.53/2.16 % (2920271)Refutation not found, incomplete strategy
% 11.53/2.16 % (2920271)------------------------------
% 11.53/2.16 % (2920271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.53/2.16 % (2920271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.16 % (2920271)CaDiCaL version: 2.1.3
% 11.53/2.16 % (2920271)Termination reason: Refutation not found, incomplete strategy
% 11.53/2.16 % (2920271)Time elapsed: 0.0000 s
% 11.53/2.16 % (2920271)Peak memory usage: 11 MB
% 11.53/2.16 % (2920271)------------------------------
% 11.53/2.16 % (2920271)------------------------------
% 11.53/2.16 % (2920269)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3027895798:i=355:av=off:fsr=off:rtra=on:ixr=off_2986 on theBenchmark for (2986ds/355Mi)
% 11.53/2.16 % (2920273)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3800644045:s2a=on:i=251:fsr=off:rtra=on_2986 on theBenchmark for (2986ds/251Mi)
% 11.53/2.16 % (2920273)Instruction limit reached!
% 11.53/2.16 % (2920273)------------------------------
% 11.53/2.16 % (2920273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.53/2.16 % (2920273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.16 % (2920273)CaDiCaL version: 2.1.3
% 11.53/2.16 % (2920273)Termination reason: Instruction limit
% 11.53/2.16 % (2920273)Termination phase: Saturation
% 11.53/2.16 % (2920273)Time elapsed: 0.057 s
% 11.53/2.16 % (2920273)Peak memory usage: 12 MB
% 11.53/2.16 % (2920273)Instructions burned: 252 (million)
% 11.53/2.16 % (2920276)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=980152724: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_2985 on theBenchmark for (2985ds/2470Mi)
% 11.53/2.16 % (2920217)Instruction limit reached!
% 11.53/2.16 % (2920217)------------------------------
% 11.53/2.16 % (2920217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.53/2.16 % (2920217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.16 % (2920217)CaDiCaL version: 2.1.3
% 11.53/2.16 % (2920217)Termination reason: Instruction limit
% 11.53/2.16 % (2920217)Termination phase: Saturation
% 11.53/2.16 % (2920217)Time elapsed: 0.500 s
% 11.53/2.16 % (2920217)Peak memory usage: 13 MB
% 11.53/2.16 % (2920217)Instructions burned: 1441 (million)
% 11.53/2.16 % (2920278)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2324249011:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2985 on theBenchmark for (2985ds/673Mi)
% 11.53/2.16 % (2920269)Instruction limit reached!
% 11.53/2.16 % (2920269)------------------------------
% 11.85/2.29 % (2920269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.85/2.29 % (2920269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.85/2.29 % (2920269)CaDiCaL version: 2.1.3
% 11.85/2.29 % (2920269)Termination reason: Instruction limit
% 11.85/2.29 % (2920269)Termination phase: Saturation
% 11.85/2.29 % (2920269)Time elapsed: 0.162 s
% 11.85/2.29 % (2920269)Peak memory usage: 12 MB
% 11.85/2.29 % (2920269)Instructions burned: 357 (million)
% 11.85/2.29 % (2920280)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2117684004:i=116:ep=RSTC:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/116Mi)
% 11.85/2.29 % (2920280)Instruction limit reached!
% 11.85/2.29 % (2920280)------------------------------
% 11.85/2.29 % (2920280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.85/2.29 % (2920280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.85/2.29 % (2920280)CaDiCaL version: 2.1.3
% 11.85/2.29 % (2920280)Termination reason: Instruction limit
% 11.85/2.29 % (2920280)Termination phase: Saturation
% 11.85/2.29 % (2920280)Time elapsed: 0.049 s
% 11.85/2.29 % (2920280)Peak memory usage: 12 MB
% 11.85/2.29 % (2920280)Instructions burned: 117 (million)
% 11.85/2.29 % (2920282)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3439356558:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2984 on theBenchmark for (2984ds/270Mi)
% 11.85/2.29 % (2920234)Instruction limit reached!
% 11.85/2.29 % (2920234)------------------------------
% 11.85/2.29 % (2920234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.85/2.29 % (2920234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.85/2.29 % (2920234)CaDiCaL version: 2.1.3
% 11.85/2.29 % (2920234)Termination reason: Instruction limit
% 11.85/2.29 % (2920234)Termination phase: Saturation
% 11.85/2.29 % (2920234)Time elapsed: 0.620 s
% 11.85/2.29 % (2920234)Peak memory usage: 14 MB
% 11.85/2.29 % (2920234)Instructions burned: 865 (million)
% 11.85/2.29 % (2920284)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=2106486208: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_2983 on theBenchmark for (2983ds/30Mi)
% 11.85/2.29 % (2920284)Instruction limit reached!
% 11.85/2.29 % (2920284)------------------------------
% 11.85/2.29 % (2920284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.85/2.29 % (2920284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.85/2.29 % (2920284)CaDiCaL version: 2.1.3
% 11.85/2.29 % (2920284)Termination reason: Instruction limit
% 11.85/2.29 % (2920284)Termination phase: Saturation
% 11.85/2.29 % (2920284)Time elapsed: 0.014 s
% 11.85/2.29 % (2920284)Peak memory usage: 12 MB
% 11.85/2.29 % (2920284)Instructions burned: 31 (million)
% 11.85/2.29 % (2920266)Instruction limit reached!
% 11.85/2.29 % (2920266)------------------------------
% 11.85/2.29 % (2920266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.85/2.29 % (2920266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.85/2.29 % (2920266)CaDiCaL version: 2.1.3
% 11.85/2.29 % (2920266)Termination reason: Instruction limit
% 11.85/2.29 % (2920266)Termination phase: Saturation
% 11.85/2.29 % (2920266)Time elapsed: 0.382 s
% 11.85/2.29 % (2920266)Peak memory usage: 13 MB
% 11.85/2.29 % (2920266)Instructions burned: 806 (million)
% 11.85/2.29 % (2920286)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 11.85/2.29 % (2920286)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2492020192:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2982 on theBenchmark for (2982ds/39Mi)
% 11.85/2.29 % (2920287)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1443716453:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2982 on theBenchmark for (2982ds/365Mi)
% 11.85/2.29 % (2920286)Instruction limit reached!
% 11.85/2.29 % (2920286)------------------------------
% 11.85/2.29 % (2920286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.85/2.29 % (2920286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.85/2.29 % (2920286)CaDiCaL version: 2.1.3
% 11.85/2.29 % (2920286)Termination reason: Instruction limit
% 12.50/2.44 % (2920286)Termination phase: Saturation
% 12.50/2.44 % (2920286)Time elapsed: 0.039 s
% 12.50/2.44 % (2920286)Peak memory usage: 12 MB
% 12.50/2.44 % (2920286)Instructions burned: 39 (million)
% 12.50/2.44 % (2920290)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2051928420:i=158:av=off:rtra=on_2982 on theBenchmark for (2982ds/158Mi)
% 12.50/2.44 % (2920282)Instruction limit reached!
% 12.50/2.44 % (2920282)------------------------------
% 12.50/2.44 % (2920282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/2.44 % (2920282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/2.44 % (2920282)CaDiCaL version: 2.1.3
% 12.50/2.44 % (2920282)Termination reason: Instruction limit
% 12.50/2.44 % (2920282)Termination phase: Saturation
% 12.50/2.44 % (2920282)Time elapsed: 0.230 s
% 12.50/2.44 % (2920282)Peak memory usage: 12 MB
% 12.50/2.44 % (2920282)Instructions burned: 271 (million)
% 12.50/2.44 % (2920278)Instruction limit reached!
% 12.50/2.44 % (2920278)------------------------------
% 12.50/2.44 % (2920278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/2.44 % (2920278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/2.44 % (2920278)CaDiCaL version: 2.1.3
% 12.50/2.44 % (2920278)Termination reason: Instruction limit
% 12.50/2.44 % (2920278)Termination phase: Saturation
% 12.50/2.44 % (2920278)Time elapsed: 0.401 s
% 12.50/2.44 % (2920278)Peak memory usage: 13 MB
% 12.50/2.44 % (2920278)Instructions burned: 676 (million)
% 12.50/2.44 % (2920287)Instruction limit reached!
% 12.50/2.44 % (2920287)------------------------------
% 12.50/2.44 % (2920287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/2.44 % (2920287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/2.44 % (2920287)CaDiCaL version: 2.1.3
% 12.50/2.44 % (2920287)Termination reason: Instruction limit
% 12.50/2.44 % (2920287)Termination phase: Saturation
% 12.50/2.44 % (2920287)Time elapsed: 0.145 s
% 12.50/2.44 % (2920287)Peak memory usage: 13 MB
% 12.50/2.44 % (2920287)Instructions burned: 365 (million)
% 12.50/2.44 % (2920292)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
% 12.50/2.44 % (2920292)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=2809451088:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/252Mi)
% 12.50/2.44 % (2920293)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2414969995:i=213:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/213Mi)
% 12.50/2.44 % (2920293)Refutation not found, incomplete strategy
% 12.50/2.44 % (2920293)------------------------------
% 12.50/2.44 % (2920293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/2.44 % (2920293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/2.44 % (2920293)CaDiCaL version: 2.1.3
% 12.50/2.44 % (2920293)Termination reason: Refutation not found, incomplete strategy
% 12.50/2.44 % (2920293)Time elapsed: 0.001 s
% 12.50/2.44 % (2920293)Peak memory usage: 11 MB
% 12.50/2.44 % (2920293)------------------------------
% 12.50/2.44 % (2920293)------------------------------
% 12.50/2.44 % (2920290)Instruction limit reached!
% 12.50/2.44 % (2920290)------------------------------
% 12.50/2.44 % (2920290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/2.44 % (2920290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/2.44 % (2920290)CaDiCaL version: 2.1.3
% 12.50/2.44 % (2920290)Termination reason: Instruction limit
% 12.50/2.44 % (2920290)Termination phase: Saturation
% 12.50/2.44 % (2920290)Time elapsed: 0.096 s
% 12.50/2.44 % (2920290)Peak memory usage: 12 MB
% 12.50/2.44 % (2920290)Instructions burned: 158 (million)
% 12.50/2.44 % (2920294)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=2235318586:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/160Mi)
% 12.50/2.44 % (2920294)Refutation not found, incomplete strategy
% 12.50/2.44 % (2920294)------------------------------
% 12.50/2.44 % (2920294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/2.44 % (2920294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/2.44 % (2920294)CaDiCaL version: 2.1.3
% 12.50/2.44 % (2920294)Termination reason: Refutation not found, incomplete strategy
% 12.50/2.48 % (2920294)Time elapsed: 0.001 s
% 12.50/2.48 % (2920294)Peak memory usage: 11 MB
% 12.50/2.48 % (2920294)Instructions burned: 1 (million)
% 12.50/2.48 % (2920294)------------------------------
% 12.50/2.48 % (2920294)------------------------------
% 12.50/2.48 % (2920300)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=994642045:s2a=on:i=386:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/386Mi)
% 12.50/2.48 % (2920297)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1329032847:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/763Mi)
% 12.50/2.48 % (2920298)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 12.50/2.48 % (2920298)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=2885104719:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2981 on theBenchmark for (2981ds/237Mi)
% 12.50/2.48 % (2920298)Refutation not found, incomplete strategy
% 12.50/2.48 % (2920298)------------------------------
% 12.50/2.48 % (2920298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/2.48 % (2920298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/2.48 % (2920298)CaDiCaL version: 2.1.3
% 12.50/2.48 % (2920298)Termination reason: Refutation not found, incomplete strategy
% 12.50/2.48 % (2920298)Time elapsed: 0.001 s
% 12.50/2.48 % (2920298)Peak memory usage: 11 MB
% 12.50/2.48 % (2920298)------------------------------
% 12.50/2.48 % (2920298)------------------------------
% 12.50/2.48 % (2920304)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1603694671:i=300:piset=and:nm=32:rtra=on_2980 on theBenchmark for (2980ds/300Mi)
% 12.50/2.48 % (2920292)Instruction limit reached!
% 12.50/2.48 % (2920292)------------------------------
% 12.50/2.48 % (2920292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/2.48 % (2920292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/2.48 % (2920292)CaDiCaL version: 2.1.3
% 12.50/2.48 % (2920292)Termination reason: Instruction limit
% 12.50/2.48 % (2920292)Termination phase: Saturation
% 12.50/2.48 % (2920292)Time elapsed: 0.094 s
% 12.50/2.48 % (2920292)Peak memory usage: 12 MB
% 12.50/2.48 % (2920292)Instructions burned: 253 (million)
% 12.50/2.48 % (2920306)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=1252790468:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/567Mi)
% 12.50/2.48 % (2920306)Refutation not found, incomplete strategy
% 12.50/2.48 % (2920306)------------------------------
% 12.50/2.48 % (2920306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/2.48 % (2920306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/2.48 % (2920306)CaDiCaL version: 2.1.3
% 12.50/2.48 % (2920306)Termination reason: Refutation not found, incomplete strategy
% 12.50/2.48 % (2920306)Time elapsed: 0.001 s
% 12.50/2.48 % (2920306)Peak memory usage: 11 MB
% 12.50/2.48 % (2920306)Instructions burned: 2 (million)
% 12.50/2.48 % (2920306)------------------------------
% 12.50/2.48 % (2920306)------------------------------
% 12.50/2.48 % (2920308)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=284899842:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2980 on theBenchmark for (2980ds/379Mi)
% 12.50/2.48 % (2920308)Refutation not found, incomplete strategy
% 12.50/2.48 % (2920308)------------------------------
% 12.50/2.48 % (2920308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/2.48 % (2920308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/2.48 % (2920308)CaDiCaL version: 2.1.3
% 12.50/2.48 % (2920308)Termination reason: Refutation not found, incomplete strategy
% 12.50/2.48 % (2920308)Time elapsed: 0.001 s
% 12.50/2.48 % (2920308)Peak memory usage: 11 MB
% 12.50/2.48 % (2920308)------------------------------
% 12.50/2.48 % (2920308)------------------------------
% 12.50/2.48 % (2920276)Instruction limit reached!
% 12.50/2.48 % (2920276)------------------------------
% 12.50/2.48 % (2920276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.50/2.48 % (2920276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.50/2.48 % (2920276)CaDiCaL version: 2.1.3
% 13.92/2.52 % (2920276)Termination reason: Instruction limit
% 13.92/2.52 % (2920276)Termination phase: Saturation
% 13.92/2.52 % (2920276)Time elapsed: 0.596 s
% 13.92/2.52 % (2920276)Peak memory usage: 16 MB
% 13.92/2.52 % (2920276)Instructions burned: 2473 (million)
% 13.92/2.52 % (2920311)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2257906923:i=478:bd=all:rtra=on_2979 on theBenchmark for (2979ds/478Mi)
% 13.92/2.52 % (2920311)Refutation not found, incomplete strategy
% 13.92/2.52 % (2920311)------------------------------
% 13.92/2.52 % (2920311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.92/2.52 % (2920311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/2.52 % (2920311)CaDiCaL version: 2.1.3
% 13.92/2.52 % (2920311)Termination reason: Refutation not found, incomplete strategy
% 13.92/2.52 % (2920311)Time elapsed: 0.0000 s
% 13.92/2.52 % (2920311)Peak memory usage: 12 MB
% 13.92/2.52 % (2920311)Instructions burned: 1 (million)
% 13.92/2.52 % (2920311)------------------------------
% 13.92/2.52 % (2920311)------------------------------
% 13.92/2.52 % (2920310)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2342798505:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2979 on theBenchmark for (2979ds/429Mi)
% 13.92/2.52 % (2920313)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3584358212:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2979 on theBenchmark for (2979ds/445Mi)
% 13.92/2.52 % (2920261)Instruction limit reached!
% 13.92/2.52 % (2920261)------------------------------
% 13.92/2.52 % (2920261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.92/2.52 % (2920261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/2.52 % (2920261)CaDiCaL version: 2.1.3
% 13.92/2.52 % (2920261)Termination reason: Instruction limit
% 13.92/2.52 % (2920261)Termination phase: Saturation
% 13.92/2.52 % (2920261)Time elapsed: 0.830 s
% 13.92/2.52 % (2920261)Peak memory usage: 13 MB
% 13.92/2.52 % (2920261)Instructions burned: 2188 (million)
% 13.92/2.52 % (2920316)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=91163245:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2979 on theBenchmark for (2979ds/71Mi)
% 13.92/2.52 % (2920316)Instruction limit reached!
% 13.92/2.52 % (2920316)------------------------------
% 13.92/2.52 % (2920316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.92/2.52 % (2920316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/2.52 % (2920316)CaDiCaL version: 2.1.3
% 13.92/2.52 % (2920316)Termination reason: Instruction limit
% 13.92/2.52 % (2920316)Termination phase: Saturation
% 13.92/2.52 % (2920316)Time elapsed: 0.037 s
% 13.92/2.52 % (2920316)Peak memory usage: 12 MB
% 13.92/2.52 % (2920316)Instructions burned: 72 (million)
% 13.92/2.52 % (2920318)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1427984875:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/302Mi)
% 13.92/2.52 % (2920318)Refutation not found, incomplete strategy
% 13.92/2.52 % (2920318)------------------------------
% 13.92/2.52 % (2920318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.92/2.52 % (2920318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/2.52 % (2920318)CaDiCaL version: 2.1.3
% 13.92/2.52 % (2920318)Termination reason: Refutation not found, incomplete strategy
% 13.92/2.52 % (2920318)Time elapsed: 0.001 s
% 13.92/2.52 % (2920318)Peak memory usage: 11 MB
% 13.92/2.52 % (2920318)------------------------------
% 13.92/2.52 % (2920318)------------------------------
% 13.92/2.52 % (2920313)Instruction limit reached!
% 13.92/2.52 % (2920313)------------------------------
% 13.92/2.52 % (2920313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.92/2.52 % (2920313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/2.52 % (2920313)CaDiCaL version: 2.1.3
% 13.92/2.52 % (2920313)Termination reason: Instruction limit
% 13.92/2.52 % (2920313)Termination phase: Saturation
% 13.92/2.52 % (2920313)Time elapsed: 0.118 s
% 13.92/2.52 % (2920313)Peak memory usage: 14 MB
% 13.92/2.52 % (2920313)Instructions burned: 448 (million)
% 13.92/2.52 % (2920321)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
% 13.92/2.52 % (2920321)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 14.32/2.77 % (2920297)Instruction limit reached!
% 14.32/2.77 % (2920297)------------------------------
% 14.32/2.77 % (2920297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.32/2.77 % (2920297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.77 % (2920297)CaDiCaL version: 2.1.3
% 14.32/2.77 % (2920297)Termination reason: Instruction limit
% 14.32/2.77 % (2920297)Termination phase: Saturation
% 14.32/2.77 % (2920297)Time elapsed: 0.256 s
% 14.32/2.77 % (2920297)Peak memory usage: 14 MB
% 14.32/2.77 % (2920297)Instructions burned: 764 (million)
% 14.32/2.77 % (2920321)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1171787834:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2978 on theBenchmark for (2978ds/100Mi)
% 14.32/2.77 % (2920320)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=4098613350:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/4980Mi)
% 14.32/2.77 % (2920320)Refutation not found, incomplete strategy
% 14.32/2.77 % (2920320)------------------------------
% 14.32/2.77 % (2920320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.32/2.77 % (2920320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.77 % (2920320)CaDiCaL version: 2.1.3
% 14.32/2.77 % (2920320)Termination reason: Refutation not found, incomplete strategy
% 14.32/2.77 % (2920320)Time elapsed: 0.001 s
% 14.32/2.77 % (2920320)Peak memory usage: 11 MB
% 14.32/2.77 % (2920320)------------------------------
% 14.32/2.77 % (2920320)------------------------------
% 14.32/2.77 % (2920300)Instruction limit reached!
% 14.32/2.77 % (2920300)------------------------------
% 14.32/2.77 % (2920300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.32/2.77 % (2920300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.77 % (2920300)CaDiCaL version: 2.1.3
% 14.32/2.77 % (2920300)Termination reason: Instruction limit
% 14.32/2.77 % (2920300)Termination phase: Saturation
% 14.32/2.77 % (2920300)Time elapsed: 0.269 s
% 14.32/2.77 % (2920300)Peak memory usage: 12 MB
% 14.32/2.77 % (2920300)Instructions burned: 387 (million)
% 14.32/2.77 % (2920323)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=638307528:i=76:piset=equals:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/76Mi)
% 14.32/2.77 % (2920321)Instruction limit reached!
% 14.32/2.77 % (2920321)------------------------------
% 14.32/2.77 % (2920321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.32/2.77 % (2920321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.77 % (2920321)CaDiCaL version: 2.1.3
% 14.32/2.77 % (2920321)Termination reason: Instruction limit
% 14.32/2.77 % (2920321)Termination phase: Saturation
% 14.32/2.77 % (2920321)Time elapsed: 0.023 s
% 14.32/2.77 % (2920321)Peak memory usage: 12 MB
% 14.32/2.77 % (2920321)Instructions burned: 101 (million)
% 14.32/2.77 % (2920325)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=3794876269:i=289:rtra=on_2978 on theBenchmark for (2978ds/289Mi)
% 14.32/2.77 % (2920325)Refutation not found, incomplete strategy
% 14.32/2.77 % (2920325)------------------------------
% 14.32/2.77 % (2920325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.32/2.77 % (2920325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.77 % (2920325)CaDiCaL version: 2.1.3
% 14.32/2.77 % (2920325)Termination reason: Refutation not found, incomplete strategy
% 14.32/2.77 % (2920325)Time elapsed: 0.001 s
% 14.32/2.77 % (2920325)Peak memory usage: 11 MB
% 14.32/2.77 % (2920325)Instructions burned: 1 (million)
% 14.32/2.77 % (2920325)------------------------------
% 14.32/2.77 % (2920325)------------------------------
% 14.32/2.77 % (2920326)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=2057107938:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2978 on theBenchmark for (2978ds/493Mi)
% 14.32/2.77 % (2920328)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=2829924375:cond=on:i=34:hud=10:nm=10:rtra=on_2978 on theBenchmark for (2978ds/34Mi)
% 14.32/2.77 % (2920304)Instruction limit reached!
% 15.00/2.83 % (2920304)------------------------------
% 15.00/2.83 % (2920304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.00/2.83 % (2920304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/2.83 % (2920304)CaDiCaL version: 2.1.3
% 15.00/2.83 % (2920304)Termination reason: Instruction limit
% 15.00/2.83 % (2920304)Termination phase: Saturation
% 15.00/2.83 % (2920304)Time elapsed: 0.242 s
% 15.00/2.83 % (2920304)Peak memory usage: 12 MB
% 15.00/2.83 % (2920304)Instructions burned: 300 (million)
% 15.00/2.83 % (2920328)Instruction limit reached!
% 15.00/2.83 % (2920328)------------------------------
% 15.00/2.83 % (2920328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.00/2.83 % (2920328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/2.83 % (2920328)CaDiCaL version: 2.1.3
% 15.00/2.83 % (2920328)Termination reason: Instruction limit
% 15.00/2.83 % (2920328)Termination phase: Saturation
% 15.00/2.83 % (2920328)Time elapsed: 0.009 s
% 15.00/2.83 % (2920328)Peak memory usage: 12 MB
% 15.00/2.83 % (2920328)Instructions burned: 34 (million)
% 15.00/2.83 % (2920330)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 15.00/2.83 % (2920330)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=3345272173:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2977 on theBenchmark for (2977ds/372Mi)
% 15.00/2.83 % (2920330)Refutation not found, incomplete strategy
% 15.00/2.83 % (2920330)------------------------------
% 15.00/2.83 % (2920330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.00/2.83 % (2920330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/2.83 % (2920330)CaDiCaL version: 2.1.3
% 15.00/2.83 % (2920330)Termination reason: Refutation not found, incomplete strategy
% 15.00/2.83 % (2920330)Time elapsed: 0.002 s
% 15.00/2.83 % (2920330)Peak memory usage: 11 MB
% 15.00/2.83 % (2920330)Instructions burned: 3 (million)
% 15.00/2.83 % (2920334)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3294330708:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/647Mi)
% 15.00/2.83 % (2920330)------------------------------
% 15.00/2.83 % (2920330)------------------------------
% 15.00/2.83 % (2920334)Refutation not found, incomplete strategy
% 15.00/2.83 % (2920334)------------------------------
% 15.00/2.83 % (2920334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.00/2.83 % (2920334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/2.83 % (2920334)CaDiCaL version: 2.1.3
% 15.00/2.83 % (2920334)Termination reason: Refutation not found, incomplete strategy
% 15.00/2.83 % (2920334)Time elapsed: 0.0000 s
% 15.00/2.83 % (2920334)Peak memory usage: 11 MB
% 15.00/2.83 % (2920334)------------------------------
% 15.00/2.83 % (2920334)------------------------------
% 15.00/2.83 % (2920310)Instruction limit reached!
% 15.00/2.83 % (2920310)------------------------------
% 15.00/2.83 % (2920310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.00/2.83 % (2920310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/2.83 % (2920310)CaDiCaL version: 2.1.3
% 15.00/2.83 % (2920310)Termination reason: Instruction limit
% 15.00/2.83 % (2920310)Termination phase: Saturation
% 15.00/2.83 % (2920310)Time elapsed: 0.199 s
% 15.00/2.83 % (2920310)Peak memory usage: 12 MB
% 15.00/2.83 % (2920310)Instructions burned: 430 (million)
% 15.00/2.83 % (2920338)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=4172417498:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2977 on theBenchmark for (2977ds/693Mi)
% 15.00/2.83 % (2920323)Instruction limit reached!
% 15.00/2.83 % (2920323)------------------------------
% 15.00/2.83 % (2920323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.00/2.83 % (2920323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.00/2.83 % (2920323)CaDiCaL version: 2.1.3
% 15.00/2.83 % (2920323)Termination reason: Instruction limit
% 15.00/2.83 % (2920323)Termination phase: Saturation
% 15.00/2.83 % (2920323)Time elapsed: 0.049 s
% 15.00/2.83 % (2920323)Peak memory usage: 12 MB
% 15.00/2.83 % (2920323)Instructions burned: 76 (million)
% 15.00/2.83 % (2920333)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=1839466108:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2977 on theBenchmark for (2977ds/670Mi)
% 15.57/2.96 % (2920339)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1505827936:i=285:hud=10:bd=all:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/285Mi)
% 15.57/2.96 % (2920339)Refutation not found, incomplete strategy
% 15.57/2.96 % (2920339)------------------------------
% 15.57/2.96 % (2920339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.57/2.96 % (2920339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/2.96 % (2920339)CaDiCaL version: 2.1.3
% 15.57/2.96 % (2920339)Termination reason: Refutation not found, incomplete strategy
% 15.57/2.96 % (2920339)Time elapsed: 0.001 s
% 15.57/2.96 % (2920339)Peak memory usage: 11 MB
% 15.57/2.96 % (2920339)Instructions burned: 1 (million)
% 15.57/2.96 % (2920337)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=4097392518:i=857:add=off:kws=frequency:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/857Mi)
% 15.57/2.96 % (2920339)------------------------------
% 15.57/2.96 % (2920339)------------------------------
% 15.57/2.96 % (2920341)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 15.57/2.96 % (2920341)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=1321249359:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2977 on theBenchmark for (2977ds/52Mi)
% 15.57/2.96 % (2920346)dis+10_1_si=on:random_seed=4251722463:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2977 on theBenchmark for (2977ds/407Mi)
% 15.57/2.96 % (2920346)Refutation not found, incomplete strategy
% 15.57/2.96 % (2920346)------------------------------
% 15.57/2.96 % (2920346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.57/2.96 % (2920346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/2.96 % (2920346)CaDiCaL version: 2.1.3
% 15.57/2.96 % (2920346)Termination reason: Refutation not found, incomplete strategy
% 15.57/2.96 % (2920346)Time elapsed: 0.001 s
% 15.57/2.96 % (2920346)Peak memory usage: 11 MB
% 15.57/2.96 % (2920346)------------------------------
% 15.57/2.96 % (2920346)------------------------------
% 15.57/2.96 % (2920341)Instruction limit reached!
% 15.57/2.96 % (2920341)------------------------------
% 15.57/2.96 % (2920341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.57/2.96 % (2920341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/2.96 % (2920341)CaDiCaL version: 2.1.3
% 15.57/2.96 % (2920341)Termination reason: Instruction limit
% 15.57/2.96 % (2920341)Termination phase: Saturation
% 15.57/2.96 % (2920341)Time elapsed: 0.036 s
% 15.57/2.96 % (2920341)Peak memory usage: 12 MB
% 15.57/2.96 % (2920341)Instructions burned: 53 (million)
% 15.57/2.96 % (2920349)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=362485028:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/2240Mi)
% 15.57/2.96 % (2920353)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=245628440:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/336Mi)
% 15.57/2.96 % (2920353)Refutation not found, incomplete strategy
% 15.57/2.96 % (2920353)------------------------------
% 15.57/2.96 % (2920353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.57/2.96 % (2920353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/2.96 % (2920353)CaDiCaL version: 2.1.3
% 15.57/2.96 % (2920353)Termination reason: Refutation not found, incomplete strategy
% 15.57/2.96 % (2920353)Time elapsed: 0.001 s
% 15.57/2.96 % (2920353)Peak memory usage: 11 MB
% 15.57/2.96 % (2920353)------------------------------
% 15.57/2.96 % (2920353)------------------------------
% 15.57/2.96 % (2920356)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=3758757104:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2976 on theBenchmark for (2976ds/1142Mi)
% 15.57/2.96 % (2920338)Instruction limit reached!
% 15.57/2.96 % (2920338)------------------------------
% 15.57/2.96 % (2920338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.57/3.21 % (2920338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.21 % (2920338)CaDiCaL version: 2.1.3
% 18.57/3.21 % (2920338)Termination reason: Instruction limit
% 18.57/3.21 % (2920338)Termination phase: Saturation
% 18.57/3.21 % (2920338)Time elapsed: 0.263 s
% 18.57/3.21 % (2920338)Peak memory usage: 12 MB
% 18.57/3.21 % (2920338)Instructions burned: 693 (million)
% 18.57/3.21 % (2920326)Instruction limit reached!
% 18.57/3.21 % (2920326)------------------------------
% 18.57/3.21 % (2920326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.57/3.21 % (2920326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.21 % (2920326)CaDiCaL version: 2.1.3
% 18.57/3.21 % (2920326)Termination reason: Instruction limit
% 18.57/3.21 % (2920326)Termination phase: Saturation
% 18.57/3.21 % (2920326)Time elapsed: 0.311 s
% 18.57/3.21 % (2920326)Peak memory usage: 13 MB
% 18.57/3.21 % (2920326)Instructions burned: 495 (million)
% 18.57/3.21 % (2920358)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=4152190427:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2974 on theBenchmark for (2974ds/376Mi)
% 18.57/3.21 % (2920358)Refutation not found, incomplete strategy
% 18.57/3.21 % (2920358)------------------------------
% 18.57/3.21 % (2920358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.57/3.21 % (2920358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.21 % (2920358)CaDiCaL version: 2.1.3
% 18.57/3.21 % (2920358)Termination reason: Refutation not found, incomplete strategy
% 18.57/3.21 % (2920358)Time elapsed: 0.001 s
% 18.57/3.21 % (2920358)Peak memory usage: 11 MB
% 18.57/3.21 % (2920358)------------------------------
% 18.57/3.21 % (2920358)------------------------------
% 18.57/3.21 % (2920359)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1157503912:i=766:bd=all:rtra=on_2974 on theBenchmark for (2974ds/766Mi)
% 18.57/3.21 % (2920359)Refutation not found, incomplete strategy
% 18.57/3.21 % (2920359)------------------------------
% 18.57/3.21 % (2920359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.57/3.21 % (2920359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.21 % (2920359)CaDiCaL version: 2.1.3
% 18.57/3.21 % (2920359)Termination reason: Refutation not found, incomplete strategy
% 18.57/3.21 % (2920359)Time elapsed: 0.001 s
% 18.57/3.21 % (2920359)Peak memory usage: 12 MB
% 18.57/3.21 % (2920359)Instructions burned: 1 (million)
% 18.57/3.21 % (2920361)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 18.57/3.21 % (2920359)------------------------------
% 18.57/3.21 % (2920359)------------------------------
% 18.57/3.21 % (2920361)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=480628282: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_2974 on theBenchmark for (2974ds/959Mi)
% 18.57/3.21 % (2920361)Refutation not found, incomplete strategy
% 18.57/3.21 % (2920361)------------------------------
% 18.57/3.21 % (2920361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.57/3.21 % (2920361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.21 % (2920361)CaDiCaL version: 2.1.3
% 18.57/3.21 % (2920361)Termination reason: Refutation not found, incomplete strategy
% 18.57/3.21 % (2920361)Time elapsed: 0.001 s
% 18.57/3.21 % (2920361)Peak memory usage: 12 MB
% 18.57/3.21 % (2920361)------------------------------
% 18.57/3.21 % (2920361)------------------------------
% 18.57/3.21 % (2920364)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=3853534178:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2974 on theBenchmark for (2974ds/6359Mi)
% 18.57/3.21 % (2920365)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3950809613: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)
% 18.57/3.21 % (2920365)Refutation not found, incomplete strategy
% 18.57/3.21 % (2920365)------------------------------
% 18.57/3.21 % (2920365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.57/3.21 % (2920365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.21 % (2920365)CaDiCaL version: 2.1.3
% 19.22/3.40 % (2920365)Termination reason: Refutation not found, incomplete strategy
% 19.22/3.40 % (2920365)Time elapsed: 0.0000 s
% 19.22/3.40 % (2920365)Peak memory usage: 11 MB
% 19.22/3.40 % (2920365)------------------------------
% 19.22/3.40 % (2920365)------------------------------
% 19.22/3.40 % (2920337)Instruction limit reached!
% 19.22/3.40 % (2920337)------------------------------
% 19.22/3.40 % (2920337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.22/3.40 % (2920337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/3.40 % (2920337)CaDiCaL version: 2.1.3
% 19.22/3.40 % (2920337)Termination reason: Instruction limit
% 19.22/3.40 % (2920337)Termination phase: Saturation
% 19.22/3.40 % (2920337)Time elapsed: 0.326 s
% 19.22/3.40 % (2920337)Peak memory usage: 12 MB
% 19.22/3.40 % (2920337)Instructions burned: 859 (million)
% 19.22/3.40 % (2920368)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3721710493:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2974 on theBenchmark for (2974ds/53Mi)
% 19.22/3.40 % (2920369)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=2962674550:s2a=on:i=876:s2at=6:nm=2:rtra=on_2974 on theBenchmark for (2974ds/876Mi)
% 19.22/3.40 % (2920368)Instruction limit reached!
% 19.22/3.40 % (2920368)------------------------------
% 19.22/3.40 % (2920368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.22/3.40 % (2920368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/3.40 % (2920368)CaDiCaL version: 2.1.3
% 19.22/3.40 % (2920368)Termination reason: Instruction limit
% 19.22/3.40 % (2920368)Termination phase: Saturation
% 19.22/3.40 % (2920368)Time elapsed: 0.028 s
% 19.22/3.40 % (2920368)Peak memory usage: 12 MB
% 19.22/3.40 % (2920368)Instructions burned: 53 (million)
% 19.22/3.40 % (2920372)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2685225464:i=57:ep=R:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/57Mi)
% 19.22/3.40 % (2920333)Instruction limit reached!
% 19.22/3.40 % (2920333)------------------------------
% 19.22/3.40 % (2920333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.22/3.40 % (2920333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/3.40 % (2920333)CaDiCaL version: 2.1.3
% 19.22/3.40 % (2920333)Termination reason: Instruction limit
% 19.22/3.40 % (2920333)Termination phase: Saturation
% 19.22/3.40 % (2920333)Time elapsed: 0.403 s
% 19.22/3.40 % (2920333)Peak memory usage: 12 MB
% 19.22/3.40 % (2920333)Instructions burned: 671 (million)
% 19.22/3.40 % (2920372)Instruction limit reached!
% 19.22/3.40 % (2920372)------------------------------
% 19.22/3.40 % (2920372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.22/3.40 % (2920372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/3.40 % (2920372)CaDiCaL version: 2.1.3
% 19.22/3.40 % (2920372)Termination reason: Instruction limit
% 19.22/3.40 % (2920372)Termination phase: Saturation
% 19.22/3.40 % (2920372)Time elapsed: 0.026 s
% 19.22/3.40 % (2920372)Peak memory usage: 12 MB
% 19.22/3.40 % (2920372)Instructions burned: 58 (million)
% 19.22/3.40 % (2920375)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1344524182:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/262Mi)
% 19.22/3.40 % (2920375)Refutation not found, incomplete strategy
% 19.22/3.40 % (2920375)------------------------------
% 19.22/3.40 % (2920375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.22/3.40 % (2920375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/3.40 % (2920375)CaDiCaL version: 2.1.3
% 19.22/3.40 % (2920375)Termination reason: Refutation not found, incomplete strategy
% 19.22/3.40 % (2920375)Time elapsed: 0.001 s
% 19.22/3.40 % (2920375)Peak memory usage: 11 MB
% 19.22/3.40 % (2920375)------------------------------
% 19.22/3.40 % (2920375)------------------------------
% 19.22/3.40 % (2920374)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 19.22/3.40 % (2920374)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=565932292:i=306:bd=all:rtra=on_2973 on theBenchmark for (2973ds/306Mi)
% 19.22/3.40 % (2920377)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 19.22/3.40 % (2920374)Refutation not found, incomplete strategy
% 19.77/3.49 % (2920374)------------------------------
% 19.77/3.49 % (2920374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.77/3.49 % (2920374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.77/3.49 % (2920374)CaDiCaL version: 2.1.3
% 19.77/3.49 % (2920374)Termination reason: Refutation not found, incomplete strategy
% 19.77/3.49 % (2920374)Time elapsed: 0.001 s
% 19.77/3.49 % (2920374)Peak memory usage: 11 MB
% 19.77/3.49 % (2920374)Instructions burned: 1 (million)
% 19.77/3.49 % (2920374)------------------------------
% 19.77/3.49 % (2920374)------------------------------
% 19.77/3.49 % (2920377)ott+1002_16_sil=128000:si=on:random_seed=795965196:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2973 on theBenchmark for (2973ds/409Mi)
% 19.77/3.49 % (2920379)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1023320063:s2a=on:i=381:rtra=on_2973 on theBenchmark for (2973ds/381Mi)
% 19.77/3.49 % (2920369)Instruction limit reached!
% 19.77/3.49 % (2920369)------------------------------
% 19.77/3.49 % (2920369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.77/3.49 % (2920369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.77/3.49 % (2920369)CaDiCaL version: 2.1.3
% 19.77/3.49 % (2920369)Termination reason: Instruction limit
% 19.77/3.49 % (2920369)Termination phase: Saturation
% 19.77/3.49 % (2920369)Time elapsed: 0.196 s
% 19.77/3.49 % (2920369)Peak memory usage: 13 MB
% 19.77/3.49 % (2920369)Instructions burned: 879 (million)
% 19.77/3.49 % (2920382)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1850343391:cond=on:i=324:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/324Mi)
% 19.77/3.49 % (2920382)Instruction limit reached!
% 19.77/3.49 % (2920382)------------------------------
% 19.77/3.49 % (2920382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.77/3.49 % (2920382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.77/3.49 % (2920382)CaDiCaL version: 2.1.3
% 19.77/3.49 % (2920382)Termination reason: Instruction limit
% 19.77/3.49 % (2920382)Termination phase: Saturation
% 19.77/3.49 % (2920382)Time elapsed: 0.062 s
% 19.77/3.49 % (2920382)Peak memory usage: 12 MB
% 19.77/3.49 % (2920382)Instructions burned: 329 (million)
% 19.77/3.49 % (2920385)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3181297667:i=240:kws=inv_precedence:rtra=on_2971 on theBenchmark for (2971ds/240Mi)
% 19.77/3.49 % (2920385)Refutation not found, incomplete strategy
% 19.77/3.49 % (2920385)------------------------------
% 19.77/3.49 % (2920385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.77/3.49 % (2920385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.77/3.49 % (2920385)CaDiCaL version: 2.1.3
% 19.77/3.49 % (2920385)Termination reason: Refutation not found, incomplete strategy
% 19.77/3.49 % (2920385)Time elapsed: 0.001 s
% 19.77/3.49 % (2920385)Peak memory usage: 11 MB
% 19.77/3.49 % (2920385)Instructions burned: 1 (million)
% 19.77/3.49 % (2920385)------------------------------
% 19.77/3.49 % (2920385)------------------------------
% 19.77/3.49 % (2920387)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 19.77/3.49 % (2920387)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1635936312:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/124Mi)
% 19.77/3.49 % (2920377)Instruction limit reached!
% 19.77/3.49 % (2920377)------------------------------
% 19.77/3.49 % (2920377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.77/3.49 % (2920377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.77/3.49 % (2920377)CaDiCaL version: 2.1.3
% 19.77/3.49 % (2920377)Termination reason: Instruction limit
% 19.77/3.49 % (2920377)Termination phase: Saturation
% 19.77/3.49 % (2920377)Time elapsed: 0.236 s
% 19.77/3.49 % (2920377)Peak memory usage: 13 MB
% 19.77/3.49 % (2920377)Instructions burned: 410 (million)
% 19.77/3.49 % (2920387)Instruction limit reached!
% 19.77/3.49 % (2920387)------------------------------
% 19.77/3.49 % (2920387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.77/3.49 % (2920387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.77/3.49 % (2920387)CaDiCaL version: 2.1.3
% 19.77/3.49 % (2920387)Termination reason: Instruction limit
% 19.77/3.49 % (2920387)Termination phase: Saturation
% 19.77/3.49 % (2920387)Time elapsed: 0.047 s
% 21.26/3.77 % (2920387)Peak memory usage: 12 MB
% 21.26/3.77 % (2920387)Instructions burned: 124 (million)
% 21.26/3.77 % (2920389)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2385869769:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2970 on theBenchmark for (2970ds/223Mi)
% 21.26/3.77 % (2920390)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1507863167:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2970 on theBenchmark for (2970ds/282Mi)
% 21.26/3.77 % (2920389)Instruction limit reached!
% 21.26/3.77 % (2920389)------------------------------
% 21.26/3.77 % (2920389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.26/3.77 % (2920389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/3.77 % (2920389)CaDiCaL version: 2.1.3
% 21.26/3.77 % (2920389)Termination reason: Instruction limit
% 21.26/3.77 % (2920389)Termination phase: Saturation
% 21.26/3.77 % (2920389)Time elapsed: 0.040 s
% 21.26/3.77 % (2920389)Peak memory usage: 13 MB
% 21.26/3.77 % (2920389)Instructions burned: 228 (million)
% 21.26/3.77 % (2920379)Instruction limit reached!
% 21.26/3.77 % (2920379)------------------------------
% 21.26/3.77 % (2920379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.26/3.77 % (2920379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/3.77 % (2920379)CaDiCaL version: 2.1.3
% 21.26/3.77 % (2920379)Termination reason: Instruction limit
% 21.26/3.77 % (2920379)Termination phase: Saturation
% 21.26/3.77 % (2920379)Time elapsed: 0.268 s
% 21.26/3.77 % (2920379)Peak memory usage: 12 MB
% 21.26/3.77 % (2920379)Instructions burned: 381 (million)
% 21.26/3.77 % (2920393)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=4178259724:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/464Mi)
% 21.26/3.77 % (2920393)Refutation not found, incomplete strategy
% 21.26/3.77 % (2920393)------------------------------
% 21.26/3.77 % (2920393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.26/3.77 % (2920393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/3.77 % (2920393)CaDiCaL version: 2.1.3
% 21.26/3.77 % (2920393)Termination reason: Refutation not found, incomplete strategy
% 21.26/3.77 % (2920393)Time elapsed: 0.0000 s
% 21.26/3.77 % (2920393)Peak memory usage: 11 MB
% 21.26/3.77 % (2920393)Instructions burned: 1 (million)
% 21.26/3.77 % (2920393)------------------------------
% 21.26/3.77 % (2920393)------------------------------
% 21.26/3.77 % (2920396)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1973325027:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2969 on theBenchmark for (2969ds/280Mi)
% 21.26/3.77 % (2920395)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=3062971024:i=88:s2at=3:nm=2:rtra=on:rawr=on_2969 on theBenchmark for (2969ds/88Mi)
% 21.26/3.77 % (2920396)Instruction limit reached!
% 21.26/3.77 % (2920396)------------------------------
% 21.26/3.77 % (2920396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.26/3.77 % (2920396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/3.77 % (2920396)CaDiCaL version: 2.1.3
% 21.26/3.77 % (2920396)Termination reason: Instruction limit
% 21.26/3.77 % (2920396)Termination phase: Saturation
% 21.26/3.77 % (2920396)Time elapsed: 0.070 s
% 21.26/3.77 % (2920396)Peak memory usage: 12 MB
% 21.26/3.77 % (2920396)Instructions burned: 280 (million)
% 21.26/3.77 % (2920399)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 21.26/3.77 % (2920399)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2251363884:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/4386Mi)
% 21.26/3.77 % (2920395)Instruction limit reached!
% 21.26/3.77 % (2920395)------------------------------
% 21.26/3.77 % (2920395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.26/3.77 % (2920395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/3.77 % (2920395)CaDiCaL version: 2.1.3
% 21.26/3.77 % (2920395)Termination reason: Instruction limit
% 21.26/3.77 % (2920395)Termination phase: Saturation
% 21.26/3.77 % (2920395)Time elapsed: 0.074 s
% 21.26/3.77 % (2920395)Peak memory usage: 12 MB
% 21.26/3.77 % (2920395)Instructions burned: 89 (million)
% 21.26/3.77 % (2920401)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 24.87/4.15 % (2920401)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 24.87/4.15 % (2920401)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=2000097797: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)
% 24.87/4.15 % (2920401)Refutation not found, incomplete strategy
% 24.87/4.15 % (2920401)------------------------------
% 24.87/4.15 % (2920401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.87/4.15 % (2920401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.87/4.15 % (2920401)CaDiCaL version: 2.1.3
% 24.87/4.15 % (2920401)Termination reason: Refutation not found, incomplete strategy
% 24.87/4.15 % (2920401)Time elapsed: 0.0000 s
% 24.87/4.15 % (2920401)Peak memory usage: 12 MB
% 24.87/4.15 % (2920401)------------------------------
% 24.87/4.15 % (2920401)------------------------------
% 24.87/4.15 % (2920356)Instruction limit reached!
% 24.87/4.15 % (2920356)------------------------------
% 24.87/4.15 % (2920356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.87/4.15 % (2920356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.87/4.15 % (2920356)CaDiCaL version: 2.1.3
% 24.87/4.15 % (2920356)Termination reason: Instruction limit
% 24.87/4.15 % (2920356)Termination phase: Saturation
% 24.87/4.15 % (2920356)Time elapsed: 0.781 s
% 24.87/4.15 % (2920356)Peak memory usage: 14 MB
% 24.87/4.15 % (2920356)Instructions burned: 1143 (million)
% 24.87/4.15 % (2920390)Instruction limit reached!
% 24.87/4.15 % (2920390)------------------------------
% 24.87/4.15 % (2920390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.87/4.15 % (2920390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.87/4.15 % (2920390)CaDiCaL version: 2.1.3
% 24.87/4.15 % (2920390)Termination reason: Instruction limit
% 24.87/4.15 % (2920390)Termination phase: Saturation
% 24.87/4.15 % (2920390)Time elapsed: 0.184 s
% 24.87/4.15 % (2920390)Peak memory usage: 13 MB
% 24.87/4.15 % (2920390)Instructions burned: 284 (million)
% 24.87/4.15 % (2920403)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3450865451:i=73:rtra=on_2968 on theBenchmark for (2968ds/73Mi)
% 24.87/4.15 % (2920403)Refutation not found, incomplete strategy
% 24.87/4.15 % (2920403)------------------------------
% 24.87/4.15 % (2920403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.87/4.15 % (2920403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.87/4.15 % (2920403)CaDiCaL version: 2.1.3
% 24.87/4.15 % (2920403)Termination reason: Refutation not found, incomplete strategy
% 24.87/4.15 % (2920403)Time elapsed: 0.0000 s
% 24.87/4.15 % (2920403)Peak memory usage: 11 MB
% 24.87/4.15 % (2920403)Instructions burned: 1 (million)
% 24.87/4.15 % (2920403)------------------------------
% 24.87/4.15 % (2920403)------------------------------
% 24.87/4.15 % (2920405)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 24.87/4.15 % (2920404)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1639037511: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)
% 24.87/4.15 % (2920405)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=507941777:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2968 on theBenchmark for (2968ds/39Mi)
% 24.87/4.15 % (2920407)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3950634079:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2968 on theBenchmark for (2968ds/708Mi)
% 24.87/4.15 % (2920405)Instruction limit reached!
% 24.87/4.15 % (2920405)------------------------------
% 24.87/4.15 % (2920405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.87/4.15 % (2920405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.87/4.15 % (2920405)CaDiCaL version: 2.1.3
% 24.87/4.15 % (2920405)Termination reason: Instruction limit
% 24.87/4.15 % (2920405)Termination phase: Saturation
% 24.87/4.15 % (2920405)Time elapsed: 0.028 s
% 24.87/4.15 % (2920405)Peak memory usage: 12 MB
% 24.87/4.15 % (2920405)Instructions burned: 40 (million)
% 25.28/4.24 % (2920411)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
% 25.28/4.24 % (2920411)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=487921532:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/252Mi)
% 25.28/4.24 % (2920404)Instruction limit reached!
% 25.28/4.24 % (2920404)------------------------------
% 25.28/4.24 % (2920404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/4.24 % (2920404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.28/4.24 % (2920404)CaDiCaL version: 2.1.3
% 25.28/4.24 % (2920404)Termination reason: Instruction limit
% 25.28/4.24 % (2920404)Termination phase: Saturation
% 25.28/4.24 % (2920404)Time elapsed: 0.145 s
% 25.28/4.24 % (2920404)Peak memory usage: 12 MB
% 25.28/4.24 % (2920404)Instructions burned: 176 (million)
% 25.28/4.24 % (2920413)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=1507962976:i=823:fsr=off:rtra=on_2966 on theBenchmark for (2966ds/823Mi)
% 25.28/4.24 % (2920411)Instruction limit reached!
% 25.28/4.24 % (2920411)------------------------------
% 25.28/4.24 % (2920411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/4.24 % (2920411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.28/4.24 % (2920411)CaDiCaL version: 2.1.3
% 25.28/4.24 % (2920411)Termination reason: Instruction limit
% 25.28/4.24 % (2920411)Termination phase: Saturation
% 25.28/4.24 % (2920411)Time elapsed: 0.145 s
% 25.28/4.24 % (2920411)Peak memory usage: 12 MB
% 25.28/4.24 % (2920411)Instructions burned: 254 (million)
% 25.28/4.24 % (2920415)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 25.28/4.24 % (2920415)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=3811794472:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/16202Mi)
% 25.28/4.24 % (2920415)Refutation not found, incomplete strategy
% 25.28/4.24 % (2920415)------------------------------
% 25.28/4.24 % (2920415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/4.24 % (2920415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.28/4.24 % (2920415)CaDiCaL version: 2.1.3
% 25.28/4.24 % (2920415)Termination reason: Refutation not found, incomplete strategy
% 25.28/4.24 % (2920415)Time elapsed: 0.002 s
% 25.28/4.24 % (2920415)Peak memory usage: 11 MB
% 25.28/4.24 % (2920415)Instructions burned: 1 (million)
% 25.28/4.24 % (2920415)------------------------------
% 25.28/4.24 % (2920415)------------------------------
% 25.28/4.24 % (2920407)Instruction limit reached!
% 25.28/4.24 % (2920407)------------------------------
% 25.28/4.24 % (2920407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/4.24 % (2920407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.28/4.24 % (2920407)CaDiCaL version: 2.1.3
% 25.28/4.24 % (2920407)Termination reason: Instruction limit
% 25.28/4.24 % (2920407)Termination phase: Saturation
% 25.28/4.24 % (2920407)Time elapsed: 0.274 s
% 25.28/4.24 % (2920407)Peak memory usage: 13 MB
% 25.28/4.24 % (2920407)Instructions burned: 711 (million)
% 25.28/4.24 % (2920417)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3426668655:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/300Mi)
% 25.28/4.24 % (2920349)Instruction limit reached!
% 25.28/4.24 % (2920349)------------------------------
% 25.28/4.24 % (2920349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/4.24 % (2920349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.28/4.24 % (2920349)CaDiCaL version: 2.1.3
% 25.28/4.24 % (2920349)Termination reason: Instruction limit
% 25.28/4.24 % (2920349)Termination phase: Saturation
% 25.28/4.24 % (2920349)Time elapsed: 1.179 s
% 25.28/4.24 % (2920349)Peak memory usage: 17 MB
% 25.28/4.24 % (2920349)Instructions burned: 2241 (million)
% 25.28/4.24 % (2920418)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 25.28/4.24 % (2920418)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 25.28/4.24 % (2920418)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=261761523:i=177:add=on:bd=preordered:rtra=on:rawr=on_2965 on theBenchmark for (2965ds/177Mi)
% 25.87/4.34 % (2920420)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=61806854:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/715Mi)
% 25.87/4.34 % (2920420)Refutation not found, incomplete strategy
% 25.87/4.34 % (2920420)------------------------------
% 25.87/4.34 % (2920420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.87/4.34 % (2920420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.87/4.34 % (2920420)CaDiCaL version: 2.1.3
% 25.87/4.34 % (2920420)Termination reason: Refutation not found, incomplete strategy
% 25.87/4.34 % (2920420)Time elapsed: 0.001 s
% 25.87/4.34 % (2920420)Peak memory usage: 11 MB
% 25.87/4.34 % (2920420)Instructions burned: 2 (million)
% 25.87/4.34 % (2920420)------------------------------
% 25.87/4.34 % (2920420)------------------------------
% 25.87/4.34 % (2920423)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 25.87/4.34 % (2920423)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 25.87/4.34 % (2920423)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=800795240:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2964 on theBenchmark for (2964ds/230Mi)
% 25.87/4.34 % (2920423)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 25.87/4.34 % (2920418)Instruction limit reached!
% 25.87/4.34 % (2920418)------------------------------
% 25.87/4.34 % (2920418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.87/4.34 % (2920418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.87/4.34 % (2920418)CaDiCaL version: 2.1.3
% 25.87/4.34 % (2920418)Termination reason: Instruction limit
% 25.87/4.34 % (2920418)Termination phase: Saturation
% 25.87/4.34 % (2920418)Time elapsed: 0.094 s
% 25.87/4.34 % (2920418)Peak memory usage: 12 MB
% 25.87/4.34 % (2920418)Instructions burned: 178 (million)
% 25.87/4.34 % (2920417)Instruction limit reached!
% 25.87/4.34 % (2920417)------------------------------
% 25.87/4.34 % (2920417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.87/4.34 % (2920417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.87/4.34 % (2920425)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2497980630:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2964 on theBenchmark for (2964ds/606Mi)
% 25.87/4.34 % (2920417)CaDiCaL version: 2.1.3
% 25.87/4.34 % (2920417)Termination reason: Instruction limit
% 25.87/4.34 % (2920417)Termination phase: Saturation
% 25.87/4.34 % (2920417)Time elapsed: 0.131 s
% 25.87/4.34 % (2920417)Peak memory usage: 12 MB
% 25.87/4.34 % (2920417)Instructions burned: 302 (million)
% 25.87/4.34 % (2920427)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 25.87/4.34 % (2920427)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2184797643:lrd=on:i=841:nm=0:rtra=on_2963 on theBenchmark for (2963ds/841Mi)
% 25.87/4.34 % (2920423)Instruction limit reached!
% 25.87/4.34 % (2920423)------------------------------
% 25.87/4.34 % (2920423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.87/4.34 % (2920423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.87/4.34 % (2920423)CaDiCaL version: 2.1.3
% 25.87/4.34 % (2920423)Termination reason: Instruction limit
% 25.87/4.34 % (2920423)Termination phase: Saturation
% 25.87/4.34 % (2920423)Time elapsed: 0.106 s
% 25.87/4.34 % (2920423)Peak memory usage: 13 MB
% 25.87/4.34 % (2920423)Instructions burned: 230 (million)
% 25.87/4.34 % (2920429)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=483746363:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2963 on theBenchmark for (2963ds/445Mi)
% 25.87/4.34 % (2920413)Instruction limit reached!
% 25.87/4.34 % (2920413)------------------------------
% 25.87/4.34 % (2920413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.87/4.34 % (2920413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.87/4.39 % (2920413)CaDiCaL version: 2.1.3
% 25.87/4.39 % (2920413)Termination reason: Instruction limit
% 25.87/4.39 % (2920413)Termination phase: Saturation
% 25.87/4.39 % (2920413)Time elapsed: 0.514 s
% 25.87/4.39 % (2920413)Peak memory usage: 13 MB
% 25.87/4.39 % (2920413)Instructions burned: 823 (million)
% 25.87/4.39 % (2920429)Instruction limit reached!
% 25.87/4.39 % (2920429)------------------------------
% 25.87/4.39 % (2920429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.87/4.39 % (2920429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.87/4.39 % (2920429)CaDiCaL version: 2.1.3
% 25.87/4.39 % (2920429)Termination reason: Instruction limit
% 25.87/4.39 % (2920429)Termination phase: Saturation
% 25.87/4.39 % (2920429)Time elapsed: 0.222 s
% 25.87/4.39 % (2920429)Peak memory usage: 14 MB
% 25.87/4.39 % (2920429)Instructions burned: 446 (million)
% 25.87/4.39 % (2920425)Instruction limit reached!
% 25.87/4.39 % (2920425)------------------------------
% 25.87/4.39 % (2920425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.87/4.39 % (2920425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.87/4.39 % (2920425)CaDiCaL version: 2.1.3
% 25.87/4.39 % (2920425)Termination reason: Instruction limit
% 25.87/4.39 % (2920425)Termination phase: Saturation
% 25.87/4.39 % (2920425)Time elapsed: 0.279 s
% 25.87/4.39 % (2920425)Peak memory usage: 12 MB
% 25.87/4.39 % (2920425)Instructions burned: 607 (million)
% 25.87/4.39 % (2920432)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
% 25.87/4.39 % (2920432)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 25.87/4.39 % (2920431)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3992717801:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2961 on theBenchmark for (2961ds/71Mi)
% 25.87/4.39 % (2920432)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2531321470:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2961 on theBenchmark for (2961ds/100Mi)
% 25.87/4.39 % (2920433)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 25.87/4.39 % (2920433)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=3205243663:i=1352:add=on:aac=none:rtra=on_2961 on theBenchmark for (2961ds/1352Mi)
% 25.87/4.39 % (2920433)Refutation not found, incomplete strategy
% 25.87/4.39 % (2920433)------------------------------
% 25.87/4.39 % (2920433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.87/4.39 % (2920433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.87/4.39 % (2920433)CaDiCaL version: 2.1.3
% 25.87/4.39 % (2920433)Termination reason: Refutation not found, incomplete strategy
% 25.87/4.39 % (2920433)Time elapsed: 0.002 s
% 25.87/4.39 % (2920433)Peak memory usage: 11 MB
% 25.87/4.39 % (2920433)Instructions burned: 3 (million)
% 25.87/4.39 % (2920433)------------------------------
% 25.87/4.39 % (2920433)------------------------------
% 25.87/4.39 % (2920431)Instruction limit reached!
% 25.87/4.39 % (2920431)------------------------------
% 25.87/4.39 % (2920431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.87/4.39 % (2920431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.87/4.39 % (2920431)CaDiCaL version: 2.1.3
% 25.87/4.39 % (2920431)Termination reason: Instruction limit
% 25.87/4.39 % (2920431)Termination phase: Saturation
% 25.87/4.39 % (2920431)Time elapsed: 0.040 s
% 25.87/4.39 % (2920431)Peak memory usage: 12 MB
% 25.87/4.39 % (2920431)Instructions burned: 73 (million)
% 25.87/4.39 % (2920437)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=1229964170:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2960 on theBenchmark for (2960ds/646Mi)
% 25.87/4.39 % (2920438)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=28099267:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2960 on theBenchmark for (2960ds/1924Mi)
% 25.87/4.39 % (2920438)Refutation not found, incomplete strategy
% 25.87/4.39 % (2920438)------------------------------
% 26.85/4.51 % (2920438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.85/4.51 % (2920438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/4.51 % (2920438)CaDiCaL version: 2.1.3
% 26.85/4.51 % (2920438)Termination reason: Refutation not found, incomplete strategy
% 26.85/4.51 % (2920438)Time elapsed: 0.001 s
% 26.85/4.51 % (2920438)Peak memory usage: 11 MB
% 26.85/4.51 % (2920438)------------------------------
% 26.85/4.51 % (2920438)------------------------------
% 26.85/4.51 % (2920441)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3916898741:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2960 on theBenchmark for (2960ds/984Mi)
% 26.85/4.51 % (2920432)Instruction limit reached!
% 26.85/4.51 % (2920432)------------------------------
% 26.85/4.51 % (2920432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.85/4.51 % (2920441)Refutation not found, incomplete strategy
% 26.85/4.51 % (2920441)------------------------------
% 26.85/4.51 % (2920441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.85/4.51 % (2920432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/4.51 % (2920441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/4.51 % (2920432)CaDiCaL version: 2.1.3
% 26.85/4.51 % (2920432)Termination reason: Instruction limit
% 26.85/4.51 % (2920432)Termination phase: Saturation
% 26.85/4.51 % (2920432)Time elapsed: 0.081 s
% 26.85/4.51 % (2920441)CaDiCaL version: 2.1.3
% 26.85/4.51 % (2920432)Peak memory usage: 12 MB
% 26.85/4.51 % (2920441)Termination reason: Refutation not found, incomplete strategy
% 26.85/4.51 % (2920441)Time elapsed: 0.001 s
% 26.85/4.51 % (2920432)Instructions burned: 101 (million)
% 26.85/4.51 % (2920441)Peak memory usage: 11 MB
% 26.85/4.51 % (2920441)Instructions burned: 1 (million)
% 26.85/4.51 % (2920441)------------------------------
% 26.85/4.51 % (2920441)------------------------------
% 26.85/4.51 % (2920443)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=1007018398:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2960 on theBenchmark for (2960ds/592Mi)
% 26.85/4.51 % (2920444)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=2047981491:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2960 on theBenchmark for (2960ds/872Mi)
% 26.85/4.51 % (2920444)Refutation not found, incomplete strategy
% 26.85/4.51 % (2920444)------------------------------
% 26.85/4.51 % (2920444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.85/4.51 % (2920444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/4.51 % (2920444)CaDiCaL version: 2.1.3
% 26.85/4.51 % (2920444)Termination reason: Refutation not found, incomplete strategy
% 26.85/4.51 % (2920444)Time elapsed: 0.001 s
% 26.85/4.51 % (2920444)Peak memory usage: 11 MB
% 26.85/4.51 % (2920444)------------------------------
% 26.85/4.51 % (2920444)------------------------------
% 26.85/4.51 % (2920447)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 26.85/4.51 % (2920447)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=792536904:i=999:add=on:rtra=on_2959 on theBenchmark for (2959ds/999Mi)
% 26.85/4.51 % (2920399)Instruction limit reached!
% 26.85/4.51 % (2920399)------------------------------
% 26.85/4.51 % (2920399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.85/4.51 % (2920399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/4.51 % (2920399)CaDiCaL version: 2.1.3
% 26.85/4.51 % (2920399)Termination reason: Instruction limit
% 26.85/4.51 % (2920399)Termination phase: Saturation
% 26.85/4.51 % (2920399)Time elapsed: 0.963 s
% 26.85/4.51 % (2920399)Peak memory usage: 16 MB
% 26.85/4.51 % (2920399)Instructions burned: 4387 (million)
% 26.85/4.51 % (2920449)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 26.85/4.51 % (2920449)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=3070948694:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2959 on theBenchmark for (2959ds/244Mi)
% 26.85/4.51 % (2920449)Refutation not found, incomplete strategy
% 26.85/4.51 % (2920449)------------------------------
% 27.73/4.74 % (2920449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.73/4.74 % (2920449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.73/4.74 % (2920449)CaDiCaL version: 2.1.3
% 27.73/4.74 % (2920449)Termination reason: Refutation not found, incomplete strategy
% 27.73/4.74 % (2920449)Time elapsed: 0.001 s
% 27.73/4.74 % (2920449)Peak memory usage: 11 MB
% 27.73/4.74 % (2920449)Instructions burned: 3 (million)
% 27.73/4.74 % (2920449)------------------------------
% 27.73/4.74 % (2920449)------------------------------
% 27.73/4.74 % (2920451)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2020055321:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/113Mi)
% 27.73/4.74 % (2920451)Refutation not found, incomplete strategy
% 27.73/4.74 % (2920451)------------------------------
% 27.73/4.74 % (2920451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.73/4.74 % (2920451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.73/4.74 % (2920451)CaDiCaL version: 2.1.3
% 27.73/4.74 % (2920451)Termination reason: Refutation not found, incomplete strategy
% 27.73/4.74 % (2920451)Time elapsed: 0.0000 s
% 27.73/4.74 % (2920451)Peak memory usage: 12 MB
% 27.73/4.74 % (2920451)Instructions burned: 1 (million)
% 27.73/4.74 % (2920451)------------------------------
% 27.73/4.74 % (2920451)------------------------------
% 27.73/4.74 % (2920453)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=954454212:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/7795Mi)
% 27.73/4.74 % (2920453)Refutation not found, incomplete strategy
% 27.73/4.74 % (2920453)------------------------------
% 27.73/4.74 % (2920453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.73/4.74 % (2920453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.73/4.74 % (2920453)CaDiCaL version: 2.1.3
% 27.73/4.74 % (2920453)Termination reason: Refutation not found, incomplete strategy
% 27.73/4.74 % (2920453)Time elapsed: 0.0000 s
% 27.73/4.74 % (2920453)Peak memory usage: 11 MB
% 27.73/4.74 % (2920453)------------------------------
% 27.73/4.74 % (2920453)------------------------------
% 27.73/4.74 % (2920455)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3849993220:st=2:i=5026:sd=1:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/5026Mi)
% 27.73/4.74 % (2920455)Refutation not found, incomplete strategy
% 27.73/4.74 % (2920455)------------------------------
% 27.73/4.74 % (2920455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.73/4.74 % (2920455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.73/4.74 % (2920455)CaDiCaL version: 2.1.3
% 27.73/4.74 % (2920455)Termination reason: Refutation not found, incomplete strategy
% 27.73/4.74 % (2920455)Time elapsed: 0.0000 s
% 27.73/4.74 % (2920455)Peak memory usage: 11 MB
% 27.73/4.74 % (2920455)------------------------------
% 27.73/4.74 % (2920455)------------------------------
% 27.73/4.74 % (2920457)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 27.73/4.74 % (2920457)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=2577919323:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2958 on theBenchmark for (2958ds/763Mi)
% 27.73/4.74 % (2920457)Refutation not found, incomplete strategy
% 27.73/4.74 % (2920457)------------------------------
% 27.73/4.74 % (2920457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.73/4.74 % (2920457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.73/4.74 % (2920457)CaDiCaL version: 2.1.3
% 27.73/4.74 % (2920457)Termination reason: Refutation not found, incomplete strategy
% 27.73/4.74 % (2920457)Time elapsed: 0.0000 s
% 27.73/4.74 % (2920457)Peak memory usage: 11 MB
% 27.73/4.74 % (2920457)Instructions burned: 1 (million)
% 27.73/4.74 % (2920457)------------------------------
% 27.73/4.74 % (2920457)------------------------------
% 27.73/4.74 % (2920459)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2303099066:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2958 on theBenchmark for (2958ds/1144Mi)
% 27.73/4.74 % (2920459)Refutation not found, incomplete strategy
% 27.73/4.74 % (2920459)------------------------------
% 27.73/4.74 % (2920459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.73/4.74 % (2920459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/4.92 % (2920459)CaDiCaL version: 2.1.3
% 28.83/4.92 % (2920459)Termination reason: Refutation not found, incomplete strategy
% 28.83/4.92 % (2920459)Time elapsed: 0.0000 s
% 28.83/4.92 % (2920459)Peak memory usage: 11 MB
% 28.83/4.92 % (2920459)------------------------------
% 28.83/4.92 % (2920459)------------------------------
% 28.83/4.92 % (2920461)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 28.83/4.92 % (2920461)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=109478755:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2958 on theBenchmark for (2958ds/52Mi)
% 28.83/4.92 % (2920461)Instruction limit reached!
% 28.83/4.92 % (2920461)------------------------------
% 28.83/4.92 % (2920461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.83/4.92 % (2920461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/4.92 % (2920461)CaDiCaL version: 2.1.3
% 28.83/4.92 % (2920461)Termination reason: Instruction limit
% 28.83/4.92 % (2920461)Termination phase: Saturation
% 28.83/4.92 % (2920461)Time elapsed: 0.011 s
% 28.83/4.92 % (2920461)Peak memory usage: 12 MB
% 28.83/4.92 % (2920461)Instructions burned: 52 (million)
% 28.83/4.92 % (2920463)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=2084689093:i=1724:fsr=off:rtra=on:fe=abstraction_2958 on theBenchmark for (2958ds/1724Mi)
% 28.83/4.92 % (2920427)Instruction limit reached!
% 28.83/4.92 % (2920427)------------------------------
% 28.83/4.92 % (2920427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.83/4.92 % (2920427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/4.92 % (2920427)CaDiCaL version: 2.1.3
% 28.83/4.92 % (2920427)Termination reason: Instruction limit
% 28.83/4.92 % (2920427)Termination phase: Saturation
% 28.83/4.92 % (2920427)Time elapsed: 0.556 s
% 28.83/4.92 % (2920427)Peak memory usage: 13 MB
% 28.83/4.92 % (2920427)Instructions burned: 841 (million)
% 28.83/4.92 % (2920437)Instruction limit reached!
% 28.83/4.92 % (2920437)------------------------------
% 28.83/4.92 % (2920437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.83/4.92 % (2920437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/4.92 % (2920437)CaDiCaL version: 2.1.3
% 28.83/4.92 % (2920437)Termination reason: Instruction limit
% 28.83/4.92 % (2920437)Termination phase: Saturation
% 28.83/4.92 % (2920437)Time elapsed: 0.245 s
% 28.83/4.92 % (2920437)Peak memory usage: 14 MB
% 28.83/4.92 % (2920437)Instructions burned: 648 (million)
% 28.83/4.92 % (2920465)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=735613724:i=439:add=on:slsql=off:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/439Mi)
% 28.83/4.92 % (2920466)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3931588465:i=6395:sd=1:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/6395Mi)
% 28.83/4.92 % (2920466)Refutation not found, incomplete strategy
% 28.83/4.92 % (2920466)------------------------------
% 28.83/4.92 % (2920466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.83/4.92 % (2920466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/4.92 % (2920466)CaDiCaL version: 2.1.3
% 28.83/4.92 % (2920466)Termination reason: Refutation not found, incomplete strategy
% 28.83/4.92 % (2920466)Time elapsed: 0.001 s
% 28.83/4.92 % (2920466)Peak memory usage: 11 MB
% 28.83/4.92 % (2920466)------------------------------
% 28.83/4.92 % (2920466)------------------------------
% 28.83/4.92 % (2920469)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 28.83/4.92 % (2920469)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=2930147463:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2957 on theBenchmark for (2957ds/6762Mi)
% 28.83/4.92 % (2920469)Refutation not found, incomplete strategy
% 28.83/4.92 % (2920469)------------------------------
% 28.83/4.92 % (2920469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.83/4.92 % (2920469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.83/4.92 % (2920469)CaDiCaL version: 2.1.3
% 28.83/4.92 % (2920469)Termination reason: Refutation not found, incomplete strategy
% 28.83/4.92 % (2920469)Time elapsed: 0.001 s
% 28.83/4.92 % (2920469)Peak memory usage: 11 MB
% 31.13/5.07 % (2920469)------------------------------
% 31.13/5.07 % (2920469)------------------------------
% 31.13/5.07 % (2920471)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 31.13/5.07 % (2920443)Instruction limit reached!
% 31.13/5.07 % (2920443)------------------------------
% 31.13/5.07 % (2920443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.13/5.07 % (2920443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.13/5.07 % (2920443)CaDiCaL version: 2.1.3
% 31.13/5.07 % (2920443)Termination reason: Instruction limit
% 31.13/5.07 % (2920443)Termination phase: Saturation
% 31.13/5.07 % (2920443)Time elapsed: 0.249 s
% 31.13/5.07 % (2920443)Peak memory usage: 12 MB
% 31.13/5.07 % (2920443)Instructions burned: 592 (million)
% 31.13/5.07 % (2920471)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=1418977641:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2957 on theBenchmark for (2957ds/376Mi)
% 31.13/5.07 % (2920472)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=812891642:i=965:bd=all:ins=4:rtra=on_2957 on theBenchmark for (2957ds/965Mi)
% 31.13/5.07 % (2920465)Instruction limit reached!
% 31.13/5.07 % (2920465)------------------------------
% 31.13/5.07 % (2920465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.13/5.07 % (2920465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.13/5.07 % (2920465)CaDiCaL version: 2.1.3
% 31.13/5.07 % (2920465)Termination reason: Instruction limit
% 31.13/5.07 % (2920465)Termination phase: Saturation
% 31.13/5.07 % (2920465)Time elapsed: 0.147 s
% 31.13/5.07 % (2920465)Peak memory usage: 13 MB
% 31.13/5.07 % (2920465)Instructions burned: 440 (million)
% 31.13/5.07 % (2920475)lrs+10_1_sil=128000:si=on:urr=on:random_seed=79020511:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2956 on theBenchmark for (2956ds/5013Mi)
% 31.13/5.07 % (2920475)Refutation not found, incomplete strategy
% 31.13/5.07 % (2920475)------------------------------
% 31.13/5.07 % (2920475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.13/5.07 % (2920475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.13/5.07 % (2920475)CaDiCaL version: 2.1.3
% 31.13/5.07 % (2920475)Termination reason: Refutation not found, incomplete strategy
% 31.13/5.07 % (2920475)Time elapsed: 0.001 s
% 31.13/5.07 % (2920475)Peak memory usage: 11 MB
% 31.13/5.07 % (2920475)------------------------------
% 31.13/5.07 % (2920475)------------------------------
% 31.13/5.07 % (2920477)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3168626450:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2956 on theBenchmark for (2956ds/1583Mi)
% 31.13/5.07 % (2920471)Instruction limit reached!
% 31.13/5.07 % (2920471)------------------------------
% 31.13/5.07 % (2920471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.13/5.07 % (2920471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.13/5.07 % (2920471)CaDiCaL version: 2.1.3
% 31.13/5.07 % (2920471)Termination reason: Instruction limit
% 31.13/5.07 % (2920471)Termination phase: Saturation
% 31.13/5.07 % (2920471)Time elapsed: 0.196 s
% 31.13/5.07 % (2920471)Peak memory usage: 14 MB
% 31.13/5.07 % (2920471)Instructions burned: 377 (million)
% 31.13/5.07 % (2920479)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 31.13/5.07 % (2920479)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 31.13/5.07 % (2920479)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) 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
% 31.13/5.07 % (2920479)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 31.13/5.07 % (2920479)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=985191853:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2955 on theBenchmark for (2955ds/1774Mi)
% 31.13/5.07 % (2920479)Refutation not found, incomplete strategy
% 31.13/5.07 % (2920479)------------------------------
% 30.42/5.20 % (2920479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.42/5.20 % (2920479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.42/5.20 % (2920479)CaDiCaL version: 2.1.3
% 30.42/5.20 % (2920479)Termination reason: Refutation not found, incomplete strategy
% 30.42/5.20 % (2920479)Time elapsed: 0.0000 s
% 30.42/5.20 % (2920479)Peak memory usage: 11 MB
% 30.42/5.20 % (2920479)------------------------------
% 30.42/5.20 % (2920479)------------------------------
% 30.42/5.20 % (2920209)Instruction limit reached!
% 30.42/5.20 % (2920209)------------------------------
% 30.42/5.20 % (2920209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.42/5.20 % (2920209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.42/5.20 % (2920209)CaDiCaL version: 2.1.3
% 30.42/5.20 % (2920209)Termination reason: Instruction limit
% 30.42/5.20 % (2920209)Termination phase: Saturation
% 30.42/5.20 % (2920209)Time elapsed: 3.602 s
% 30.42/5.20 % (2920209)Peak memory usage: 16 MB
% 30.42/5.20 % (2920209)Instructions burned: 9842 (million)
% 30.42/5.20 % (2920482)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) 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
% 30.42/5.20 % (2920481)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3383185135:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2955 on theBenchmark for (2955ds/515Mi)
% 30.42/5.20 % (2920482)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=3585151699:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2955 on theBenchmark for (2955ds/1297Mi)
% 30.42/5.20 % (2920481)Refutation not found, incomplete strategy
% 30.42/5.20 % (2920481)------------------------------
% 30.42/5.20 % (2920481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.42/5.20 % (2920481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.42/5.20 % (2920481)CaDiCaL version: 2.1.3
% 30.42/5.20 % (2920481)Termination reason: Refutation not found, incomplete strategy
% 30.42/5.20 % (2920481)Time elapsed: 0.001 s
% 30.42/5.20 % (2920481)Peak memory usage: 12 MB
% 30.42/5.20 % (2920481)Instructions burned: 1 (million)
% 30.42/5.20 % (2920481)------------------------------
% 30.42/5.20 % (2920481)------------------------------
% 30.42/5.20 % (2920485)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=4116282165:s2a=on:i=611:rtra=on:gsp=on_2955 on theBenchmark for (2955ds/611Mi)
% 30.42/5.20 % (2920485)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 30.42/5.20 % (2920447)Instruction limit reached!
% 30.42/5.20 % (2920447)------------------------------
% 30.42/5.20 % (2920447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.42/5.20 % (2920447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.42/5.20 % (2920447)CaDiCaL version: 2.1.3
% 30.42/5.20 % (2920447)Termination reason: Instruction limit
% 30.42/5.20 % (2920447)Termination phase: Saturation
% 30.42/5.20 % (2920447)Time elapsed: 0.556 s
% 30.42/5.20 % (2920447)Peak memory usage: 14 MB
% 30.42/5.20 % (2920447)Instructions burned: 999 (million)
% 30.42/5.20 % (2920487)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 30.42/5.20 % (2920487)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=4119140120:i=72:bd=all:rtra=on_2954 on theBenchmark for (2954ds/72Mi)
% 30.42/5.20 % (2920487)Refutation not found, incomplete strategy
% 30.42/5.20 % (2920487)------------------------------
% 30.42/5.20 % (2920487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.42/5.20 % (2920487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.42/5.20 % (2920487)CaDiCaL version: 2.1.3
% 30.42/5.20 % (2920487)Termination reason: Refutation not found, incomplete strategy
% 30.42/5.20 % (2920487)Time elapsed: 0.001 s
% 30.42/5.20 % (2920487)Peak memory usage: 11 MB
% 30.42/5.20 % (2920487)Instructions burned: 1 (million)
% 30.42/5.20 % (2920487)------------------------------
% 30.42/5.20 % (2920487)------------------------------
% 30.42/5.20 % (2920489)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=1547581362:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2953 on theBenchmark for (2953ds/6580Mi)
% 30.42/5.20 % (2920463)Instruction limit reached!
% 30.42/5.20 % (2920463)------------------------------
% 30.42/5.20 % (2920463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.42/5.20 % (2920463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.42/5.20 % (2920463)CaDiCaL version: 2.1.3
% 30.42/5.20 % (2920463)Termination reason: Instruction limit
% 30.42/5.20 % (2920463)Termination phase: Saturation
% 30.42/5.20 % (2920463)Time elapsed: 0.550 s
% 30.42/5.20 % (2920463)Peak memory usage: 13 MB
% 30.42/5.20 % (2920463)Instructions burned: 1724 (million)
% 30.42/5.20 % (2920491)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2910681155:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2952 on theBenchmark for (2952ds/6209Mi)
% 30.42/5.20 % (2920491)Refutation not found, incomplete strategy
% 30.42/5.20 % (2920491)------------------------------
% 30.42/5.20 % (2920491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.42/5.20 % (2920491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.42/5.20 % (2920491)CaDiCaL version: 2.1.3
% 30.42/5.20 % (2920491)Termination reason: Refutation not found, incomplete strategy
% 30.42/5.20 % (2920491)Time elapsed: 0.001 s
% 30.42/5.20 % (2920491)Peak memory usage: 11 MB
% 30.42/5.20 % (2920491)------------------------------
% 30.42/5.20 % (2920491)------------------------------
% 30.42/5.20 % (2920482)Instruction limit reached!
% 30.42/5.20 % (2920482)------------------------------
% 30.42/5.20 % (2920482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.42/5.20 % (2920482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.42/5.20 % (2920482)CaDiCaL version: 2.1.3
% 30.42/5.20 % (2920482)Termination reason: Instruction limit
% 30.42/5.20 % (2920482)Termination phase: Saturation
% 30.42/5.20 % (2920482)Time elapsed: 0.258 s
% 30.42/5.20 % (2920482)Peak memory usage: 12 MB
% 30.42/5.20 % (2920482)Instructions burned: 1299 (million)
% 30.42/5.20 % (2920485)Instruction limit reached!
% 30.42/5.20 % (2920485)------------------------------
% 30.42/5.20 % (2920485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.42/5.20 % (2920485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.42/5.20 % (2920485)CaDiCaL version: 2.1.3
% 30.42/5.20 % (2920485)Termination reason: Instruction limit
% 30.42/5.20 % (2920485)Termination phase: Saturation
% 30.42/5.20 % (2920485)Time elapsed: 0.246 s
% 30.42/5.20 % (2920485)Peak memory usage: 12 MB
% 30.42/5.20 % (2920485)Instructions burned: 611 (million)
% 30.42/5.20 % (2920494)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 30.42/5.20 % (2920494)ott+1002_16_sil=128000:si=on:random_seed=3376196114:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2952 on theBenchmark for (2952ds/409Mi)
% 30.42/5.20 % (2920495)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=4084420078:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2952 on theBenchmark for (2952ds/403Mi)
% 30.42/5.20 % (2920495)Refutation not found, incomplete strategy
% 30.42/5.20 % (2920495)------------------------------
% 30.42/5.20 % (2920495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.42/5.20 % (2920495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.42/5.20 % (2920495)CaDiCaL version: 2.1.3
% 30.42/5.20 % (2920495)Termination reason: Refutation not found, incomplete strategy
% 30.42/5.20 % (2920495)Time elapsed: 0.001 s
% 30.42/5.20 % (2920495)Peak memory usage: 11 MB
% 30.42/5.20 % (2920495)Instructions burned: 1 (million)
% 30.42/5.20 % (2920495)------------------------------
% 30.42/5.20 % (2920495)------------------------------
% 30.42/5.20 % (2920493)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=1744886849:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2952 on theBenchmark for (2952ds/1003Mi)
% 30.42/5.20 % (2920498)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=485855185:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2952 on theBenchmark for (2952ds/6843Mi)
% 30.42/5.20 % (2920498)Refutation not found, incomplete strategy
% 30.42/5.20 % (2920498)------------------------------
% 30.42/5.20 % (2920498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.42/5.20 % (2920498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.42/5.20 % (2920498)CaDiCaL version: 2.1.3
% 30.42/5.20 % (2920498)Termination reason: Refutation not found, incomplete strategy
% 30.42/5.20 % (2920498)Time elapsed: 0.001 s
% 30.42/5.20 % (2920498)Peak memory usage: 11 MB
% 30.42/5.20 % (2920498)Instructions burned: 1 (million)
% 30.42/5.20 % (2920498)------------------------------
% 30.42/5.20 % (2920498)------------------------------
% 30.42/5.20 % (2920501)lrs+10_2:1_si=on:random_seed=2353243449:s2a=on:i=506:rtra=on:fe=abstraction_2951 on theBenchmark for (2951ds/506Mi)
% 30.42/5.20 % (2920494)Instruction limit reached!
% 30.42/5.20 % (2920494)------------------------------
% 30.42/5.20 % (2920494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.42/5.20 % (2920494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.42/5.20 % (2920494)CaDiCaL version: 2.1.3
% 30.42/5.20 % (2920494)Termination reason: Instruction limit
% 30.42/5.20 % (2920494)Termination phase: Saturation
% 30.42/5.20 % (2920494)Time elapsed: 0.077 s
% 30.42/5.20 % (2920494)Peak memory usage: 13 MB
% 30.42/5.20 % (2920494)Instructions burned: 410 (million)
% 30.42/5.20 % (2920364) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2920037-2920364"...
% 30.42/5.20 % (2920503)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=615617252:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2951 on theBenchmark for (2951ds/888Mi)
% 30.42/5.20 % (2920364)...printing done.
% 30.42/5.20 % (2920364)Refutation found. Thanks to Tanya!
% 30.42/5.20 % SZS status Unsatisfiable for theBenchmark
% 30.42/5.20 % SZS output start Proof for theBenchmark
% See solution above
% 30.42/5.25 % (2920364)------------------------------
% 30.42/5.25 % (2920364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.42/5.25 % (2920364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.42/5.25 % (2920364)CaDiCaL version: 2.1.3
% 30.42/5.25 % (2920364)Termination reason: Refutation
% 30.42/5.25 % (2920364)Time elapsed: 2.367 s
% 30.42/5.25 % (2920364)Peak memory usage: 18 MB
% 30.42/5.25 % (2920364)Instructions burned: 3618 (million)
% 30.42/5.25 % (2920037)Success in time 4.965 s
% 30.42/5.25 % Vampire exiting
%------------------------------------------------------------------------------