%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA154^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:00:06 AM UTC 2026
% Result : Unsatisfiable 29.12s 4.89s
% Output : Refutation 30.75s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X1: $i,X0: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X1: $i,X0: $i,X3: $i,X2: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X2 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X3: $i,X2: $i,X0: $i,X4: $i,X1: $i] :
( ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f9,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X0 @ X3 )
| ~ ( r @ X1 @ X0 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X3 @ X2 ) ),
inference(rectify,[],[f6]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X3 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X3 ) )
| ( $true
!= ( r @ X3 @ X2 ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X0 @ X3 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X1 @ X0 )
| ~ ( b @ X4 @ X1 ) ),
inference(rectify,[],[f7]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X4 @ X1 ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( r @ X1 @ X0 )
| ( b @ X1 @ X0 )
| ( X0 = X1 ) ),
inference(rectify,[],[f5]) ).
thf(f15,plain,
! [X1: $i,X0: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f17,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X3: $i,X1: $i,X0: $i,X2: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ X3 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
!= ( r @ X1 @ X3 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X3: $i,X2: $i,X4: $i,X1: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( $true
!= ( b @ X4 @ X1 ) ) ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f17]) ).
thf(f22,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X0 @ X3 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ X3 ) ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(rectify,[],[f15]) ).
thf(f25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(rectify,[],[f20]) ).
thf(f26,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f27,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X1 @ X3 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f30,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f31,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f32,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X0 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f30,f27]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f30,f27]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f30,f28]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ X3 ) ) ),
inference(constrained_superposition,[],[f32,f35]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f46,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(constrained_superposition,[],[f43,f36]) ).
thf(f47,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(constrained_superposition,[],[f32,f36]) ).
thf(f48,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f46]) ).
thf(f49,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f50,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f47]) ).
thf(f52,definition,
( spl0_1
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f53,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f52]) ).
thf(f55,definition,
( spl0_2
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f56,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f55]) ).
thf(f57,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f49,f55,f52]) ).
thf(f59,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f50,f36]) ).
thf(f61,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(duplicate_literal_removal,[],[f59]) ).
thf(f62,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f61]) ).
thf(f64,definition,
( spl0_3
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f65,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
thf(f67,definition,
( spl0_4
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f68,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f69,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f62,f67,f64]) ).
thf(f70,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f29,f65]) ).
thf(f71,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f70]) ).
thf(f72,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,f28]) ).
thf(f74,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f37,f27]) ).
thf(f75,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f37,f27]) ).
thf(f82,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f50,f74]) ).
thf(f83,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f43,f74]) ).
thf(f84,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f32,f74]) ).
thf(f85,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f83]) ).
thf(f86,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f82]) ).
thf(f87,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f84]) ).
thf(f89,definition,
( spl0_5
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f90,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f89]) ).
thf(f92,definition,
( spl0_6
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f93,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f94,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f85,f92,f89]) ).
thf(f108,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f87,f75]) ).
thf(f110,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f50,f75]) ).
thf(f111,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f43,f75]) ).
thf(f112,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f32,f75]) ).
thf(f114,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f112]) ).
thf(f115,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f111]) ).
thf(f116,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f108]) ).
thf(f117,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f116]) ).
thf(f118,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f120,definition,
( spl0_7
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f121,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f120]) ).
thf(f123,definition,
( spl0_8
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f124,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f125,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f115,f123,f120]) ).
thf(f127,definition,
( spl0_9
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f128,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f127]) ).
thf(f130,definition,
( spl0_10
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f131,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f132,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f117,f130,f127]) ).
thf(f152,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f114,f75]) ).
thf(f156,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ),
inference(duplicate_literal_removal,[],[f152]) ).
thf(f157,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f156]) ).
thf(f160,definition,
( spl0_11
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f161,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f160]) ).
thf(f163,definition,
( spl0_12
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f164,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f163]) ).
thf(f165,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f157,f163,f160]) ).
thf(f174,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(extensionality_resolution,[],[f72,f27]) ).
thf(f175,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f72,f27]) ).
thf(f176,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( X0 = X1 )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f72,f28]) ).
thf(f192,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) ),
inference(constrained_superposition,[],[f114,f174]) ).
thf(f194,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f87,f174]) ).
thf(f196,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f50,f174]) ).
thf(f197,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
inference(constrained_superposition,[],[f43,f174]) ).
thf(f198,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ X3 ) ) ),
inference(constrained_superposition,[],[f32,f174]) ).
thf(f201,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f194]) ).
thf(f202,plain,
! [X2: $i,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
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f196]) ).
thf(f203,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f192]) ).
thf(f204,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f198]) ).
thf(f205,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f197]) ).
thf(f207,definition,
( spl0_13
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f208,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f207]) ).
thf(f210,definition,
( spl0_14
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f211,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f210]) ).
thf(f218,definition,
( spl0_16
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f219,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f218]) ).
thf(f220,plain,
( spl0_16
| spl0_13 ),
inference(avatar_split_clause,[],[f201,f207,f218]) ).
thf(f222,definition,
( spl0_17
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f223,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f222]) ).
thf(f225,definition,
( spl0_18
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f226,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f225]) ).
thf(f227,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f205,f225,f222]) ).
thf(f237,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f29,f208]) ).
thf(f238,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f237]) ).
thf(f253,definition,
( spl0_19
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f254,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f253]) ).
thf(f256,definition,
( spl0_20
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f257,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f256]) ).
thf(f258,plain,
( spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f203,f256,f253]) ).
thf(f261,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f164,f37]) ).
thf(f262,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f164,f30]) ).
thf(f264,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f261]) ).
thf(f266,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f262]) ).
thf(f268,definition,
( spl0_21
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f269,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f268]) ).
thf(f271,definition,
( spl0_22
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f272,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_22 ),
inference(avatar_component_clause,[],[f271]) ).
thf(f274,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| spl0_22 ),
inference(constrained_superposition,[],[f272,f36]) ).
thf(f277,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_22 ),
inference(trivial_inequality_removal,[],[f274]) ).
thf(f302,definition,
( spl0_23
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f303,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_23 ),
inference(avatar_component_clause,[],[f302]) ).
thf(f305,definition,
( spl0_24
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f306,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f305]) ).
thf(f308,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_23 ),
inference(constrained_superposition,[],[f303,f74]) ).
thf(f310,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_23 ),
inference(constrained_superposition,[],[f303,f30]) ).
thf(f312,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_23 ),
inference(trivial_inequality_removal,[],[f308]) ).
thf(f313,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_23 ),
inference(trivial_inequality_removal,[],[f310]) ).
thf(f317,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f204,f75]) ).
thf(f318,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f204,f36]) ).
thf(f319,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f317]) ).
thf(f323,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ z ) ) ),
inference(trivial_inequality_removal,[],[f318]) ).
thf(f325,definition,
( spl0_25
<=> ! [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_25])],[avatar_definition]) ).
thf(f326,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f325]) ).
thf(f328,definition,
( spl0_26
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f329,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f328]) ).
thf(f330,plain,
( spl0_25
| spl0_26 ),
inference(avatar_split_clause,[],[f319,f328,f325]) ).
thf(f331,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_9 ),
inference(constrained_superposition,[],[f71,f128]) ).
thf(f332,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f29,f128]) ).
thf(f333,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f332]) ).
thf(f334,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_3
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f331]) ).
thf(f335,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f334,f71]) ).
thf(f341,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_13
| ~ spl0_25 ),
inference(constrained_superposition,[],[f238,f326]) ).
thf(f343,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_25 ),
inference(constrained_superposition,[],[f333,f326]) ).
thf(f349,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f343]) ).
thf(f351,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f341]) ).
thf(f353,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f349,f128]) ).
thf(f354,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_9
| ~ spl0_13
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f351,f128]) ).
thf(f356,definition,
( spl0_27
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f357,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f356]) ).
thf(f358,plain,
( spl0_20
| spl0_27
| ~ spl0_9
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f353,f325,f127,f356,f256]) ).
thf(f359,plain,
( spl0_27
| ~ spl0_9
| ~ spl0_13
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f354,f325,f207,f127,f356]) ).
thf(f363,definition,
( spl0_28
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f364,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f363]) ).
thf(f365,plain,
( spl0_13
| spl0_28
| spl0_23 ),
inference(avatar_split_clause,[],[f313,f302,f363,f207]) ).
thf(f366,plain,
( spl0_13
| spl0_23 ),
inference(avatar_split_clause,[],[f312,f302,f207]) ).
thf(f368,definition,
( spl0_29
<=> ! [X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f369,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f368]) ).
thf(f416,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f204,f175]) ).
thf(f417,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f114,f175]) ).
thf(f419,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f87,f175]) ).
thf(f421,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f50,f175]) ).
thf(f422,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f43,f175]) ).
thf(f423,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f32,f175]) ).
thf(f424,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f419]) ).
thf(f425,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f421]) ).
thf(f426,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(duplicate_literal_removal,[],[f416]) ).
thf(f427,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f426]) ).
thf(f431,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f422]) ).
thf(f432,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f423]) ).
thf(f434,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f417]) ).
thf(f436,definition,
( spl0_30
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f437,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f436]) ).
thf(f439,definition,
( spl0_31
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f440,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f439]) ).
thf(f441,plain,
( spl0_30
| spl0_31 ),
inference(avatar_split_clause,[],[f424,f439,f436]) ).
thf(f443,definition,
( spl0_32
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f444,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f443]) ).
thf(f446,definition,
( spl0_33
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f447,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f446]) ).
thf(f448,plain,
( spl0_32
| spl0_33 ),
inference(avatar_split_clause,[],[f427,f446,f443]) ).
thf(f450,definition,
( spl0_34
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f451,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f450]) ).
thf(f453,definition,
( spl0_35
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f454,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f453]) ).
thf(f455,plain,
( spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f431,f453,f450]) ).
thf(f457,definition,
( spl0_36
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f458,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_36 ),
inference(avatar_component_clause,[],[f457]) ).
thf(f487,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f432,f175]) ).
thf(f488,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f432,f75]) ).
thf(f489,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f432,f36]) ).
thf(f491,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(duplicate_literal_removal,[],[f487]) ).
thf(f492,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f491]) ).
thf(f493,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f488]) ).
thf(f496,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ z @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f489]) ).
thf(f498,definition,
( spl0_37
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f499,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f498]) ).
thf(f501,definition,
( spl0_38
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f502,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f501]) ).
thf(f503,plain,
( spl0_37
| spl0_38 ),
inference(avatar_split_clause,[],[f492,f501,f498]) ).
thf(f539,definition,
( spl0_39
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f540,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f539]) ).
thf(f543,definition,
( spl0_40
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f544,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f543]) ).
thf(f547,definition,
( spl0_41
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f548,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f547]) ).
thf(f550,definition,
( spl0_42
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f551,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f550]) ).
thf(f552,plain,
( spl0_41
| spl0_42 ),
inference(avatar_split_clause,[],[f434,f550,f547]) ).
thf(f554,definition,
( spl0_43
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f555,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f554]) ).
thf(f556,plain,
( spl0_43
| spl0_42 ),
inference(avatar_split_clause,[],[f493,f550,f554]) ).
thf(f559,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_34 ),
inference(constrained_superposition,[],[f335,f451]) ).
thf(f564,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f559]) ).
thf(f566,definition,
( spl0_44
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f567,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f566]) ).
thf(f568,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_13 ),
inference(avatar_component_clause,[],[f207]) ).
thf(f573,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_17
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f564,f223]) ).
thf(f575,definition,
( spl0_46
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f576,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f575]) ).
thf(f577,plain,
( spl0_46
| ~ spl0_13
| ~ spl0_3
| ~ spl0_9
| ~ spl0_17
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f573,f450,f222,f127,f64,f207,f575]) ).
thf(f588,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_20
| ~ spl0_29 ),
inference(constrained_superposition,[],[f369,f257]) ).
thf(f589,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_20
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f588]) ).
thf(f590,plain,
( $false
| ~ spl0_3
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f589,f65]) ).
thf(f591,plain,
( ~ spl0_3
| ~ spl0_20
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f590]) ).
thf(f626,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f555,f30]) ).
thf(f635,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f626]) ).
thf(f691,definition,
( spl0_47
<=> ! [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_47])],[avatar_definition]) ).
thf(f692,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f691]) ).
thf(f694,definition,
( spl0_48
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f695,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_48 ),
inference(avatar_component_clause,[],[f694]) ).
thf(f698,definition,
( spl0_49
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f699,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f698]) ).
thf(f701,definition,
( spl0_50
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f702,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_50 ),
inference(avatar_component_clause,[],[f701]) ).
thf(f705,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_50 ),
inference(constrained_superposition,[],[f702,f30]) ).
thf(f706,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_50 ),
inference(trivial_inequality_removal,[],[f705]) ).
thf(f708,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_48 ),
inference(constrained_superposition,[],[f695,f75]) ).
thf(f710,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_48 ),
inference(constrained_superposition,[],[f695,f30]) ).
thf(f711,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_48 ),
inference(trivial_inequality_removal,[],[f708]) ).
thf(f713,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_48 ),
inference(trivial_inequality_removal,[],[f710]) ).
thf(f714,plain,
( spl0_20
| spl0_48 ),
inference(avatar_split_clause,[],[f711,f694,f256]) ).
thf(f716,plain,
( spl0_28
| spl0_20
| spl0_48 ),
inference(avatar_split_clause,[],[f713,f694,f256,f363]) ).
thf(f953,definition,
( spl0_51
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f954,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f953]) ).
thf(f997,definition,
( spl0_54
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f998,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_54 ),
inference(avatar_component_clause,[],[f997]) ).
thf(f1082,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_54 ),
inference(constrained_superposition,[],[f998,f35]) ).
thf(f1084,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_54 ),
inference(trivial_inequality_removal,[],[f1082]) ).
thf(f1086,plain,
( spl0_6
| spl0_54 ),
inference(avatar_split_clause,[],[f1084,f997,f92]) ).
thf(f1088,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(constrained_superposition,[],[f71,f93]) ).
thf(f1091,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f1088]) ).
thf(f1092,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1091]) ).
thf(f1120,definition,
( spl0_56
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f1121,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1120]) ).
thf(f1126,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_13 ),
inference(constrained_superposition,[],[f1092,f208]) ).
thf(f1127,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f29,f208]) ).
thf(f1128,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1126]) ).
thf(f1130,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1127]) ).
thf(f1131,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1128,f223]) ).
thf(f1132,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1131]) ).
thf(f1146,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_13 ),
inference(constrained_superposition,[],[f1130,f65]) ).
thf(f1147,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1146]) ).
thf(f1148,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1147,f65]) ).
thf(f1149,plain,
( spl0_29
| ~ spl0_3
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1148,f207,f64,f368]) ).
thf(f1228,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f266,f35]) ).
thf(f1229,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( z = X0 ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f266,f37]) ).
thf(f1230,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f266,f30]) ).
thf(f1232,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1228]) ).
thf(f1233,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1229]) ).
thf(f1234,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1230]) ).
thf(f1292,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(extensionality_resolution,[],[f176,f27]) ).
thf(f1293,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(extensionality_resolution,[],[f176,f27]) ).
thf(f1308,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f1234,f30]) ).
thf(f1312,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f1308]) ).
thf(f1313,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1312]) ).
thf(f1318,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( X0 = X1 )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f1313,f30]) ).
thf(f1327,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1318]) ).
thf(f1332,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( z = X0 ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f264,f37]) ).
thf(f1336,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f1332]) ).
thf(f1337,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1336]) ).
thf(f1342,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f635,f35]) ).
thf(f1346,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1342]) ).
thf(f1350,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f1337,f35]) ).
thf(f1353,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1350]) ).
thf(f1482,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_20 ),
inference(avatar_component_clause,[],[f256]) ).
thf(f1506,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) ) ),
inference(constrained_superposition,[],[f432,f1292]) ).
thf(f1509,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(constrained_superposition,[],[f204,f1292]) ).
thf(f1511,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(constrained_superposition,[],[f114,f1292]) ).
thf(f1513,plain,
! [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 @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f87,f1292]) ).
thf(f1516,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f50,f1292]) ).
thf(f1517,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f43,f1292]) ).
thf(f1521,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f32,f1292]) ).
thf(f1523,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1509]) ).
thf(f1526,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1513]) ).
thf(f1530,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f1506]) ).
thf(f1532,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f1517]) ).
thf(f1535,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1516]) ).
thf(f1539,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f1511]) ).
thf(f1543,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f1521]) ).
thf(f1545,definition,
( spl0_58
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f1546,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f1545]) ).
thf(f1552,definition,
( spl0_60
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
thf(f1553,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1552]) ).
thf(f1555,definition,
( spl0_61
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
thf(f1556,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f1555]) ).
thf(f1557,plain,
( spl0_60
| spl0_61 ),
inference(avatar_split_clause,[],[f1523,f1555,f1552]) ).
thf(f1559,definition,
( spl0_62
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
thf(f1560,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f1559]) ).
thf(f1562,definition,
( spl0_63
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
thf(f1563,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f1562]) ).
thf(f1567,definition,
( spl0_64
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
thf(f1568,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f1567]) ).
thf(f1569,plain,
( spl0_64
| spl0_58 ),
inference(avatar_split_clause,[],[f1526,f1545,f1567]) ).
thf(f1584,definition,
( spl0_68
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f1585,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f1584]) ).
thf(f1587,definition,
( spl0_69
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f1588,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f1587]) ).
thf(f1589,plain,
( spl0_68
| spl0_69 ),
inference(avatar_split_clause,[],[f1532,f1587,f1584]) ).
thf(f1591,definition,
( spl0_70
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f1592,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_70 ),
inference(avatar_component_clause,[],[f1591]) ).
thf(f1598,definition,
( spl0_72
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
thf(f1599,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f1598]) ).
thf(f1606,definition,
( spl0_74
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f1607,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f1606]) ).
thf(f1611,definition,
( spl0_75
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
thf(f1612,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f1611]) ).
thf(f1613,plain,
( spl0_72
| spl0_75 ),
inference(avatar_split_clause,[],[f1539,f1611,f1598]) ).
thf(f1668,definition,
( spl0_79
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f1669,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f1668]) ).
thf(f1682,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_70 ),
inference(constrained_superposition,[],[f1592,f74]) ).
thf(f1684,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_70 ),
inference(constrained_superposition,[],[f1592,f30]) ).
thf(f1685,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_70 ),
inference(trivial_inequality_removal,[],[f1682]) ).
thf(f1687,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_70 ),
inference(trivial_inequality_removal,[],[f1684]) ).
thf(f1688,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_72 ),
inference(constrained_superposition,[],[f369,f1599]) ).
thf(f1694,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f1688]) ).
thf(f1696,plain,
( $false
| ~ spl0_3
| ~ spl0_29
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f1694,f65]) ).
thf(f1697,plain,
( ~ spl0_3
| ~ spl0_29
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f1696]) ).
thf(f1711,plain,
( spl0_58
| spl0_62
| spl0_70 ),
inference(avatar_split_clause,[],[f1687,f1591,f1559,f1545]) ).
thf(f1713,plain,
( spl0_58
| spl0_70 ),
inference(avatar_split_clause,[],[f1685,f1591,f1545]) ).
thf(f1798,definition,
( spl0_80
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f1799,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f1798]) ).
thf(f1817,definition,
( spl0_81
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
thf(f1818,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f1817]) ).
thf(f1820,definition,
( spl0_82
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
thf(f1821,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_82 ),
inference(avatar_component_clause,[],[f1820]) ).
thf(f1824,definition,
( spl0_83
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f1825,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_83 ),
inference(avatar_component_clause,[],[f1824]) ).
thf(f1828,definition,
( spl0_84
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
thf(f1829,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_84 ),
inference(avatar_component_clause,[],[f1828]) ).
thf(f1834,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_84 ),
inference(constrained_superposition,[],[f1829,f36]) ).
thf(f1836,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_84 ),
inference(trivial_inequality_removal,[],[f1834]) ).
thf(f1841,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_82 ),
inference(constrained_superposition,[],[f1821,f30]) ).
thf(f1844,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_82 ),
inference(trivial_inequality_removal,[],[f1841]) ).
thf(f1863,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f1543,f75]) ).
thf(f1870,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1863]) ).
thf(f1945,definition,
( spl0_86
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
thf(f1946,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f1945]) ).
thf(f1948,definition,
( spl0_87
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
thf(f1949,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f1948]) ).
thf(f1950,plain,
( spl0_86
| spl0_87 ),
inference(avatar_split_clause,[],[f1870,f1948,f1945]) ).
thf(f1953,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_83 ),
inference(constrained_superposition,[],[f1825,f30]) ).
thf(f1954,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_83 ),
inference(trivial_inequality_removal,[],[f1953]) ).
thf(f1957,plain,
( spl0_62
| spl0_72
| spl0_83 ),
inference(avatar_split_clause,[],[f1954,f1824,f1598,f1559]) ).
thf(f1961,definition,
( spl0_88
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
thf(f1962,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f1961]) ).
thf(f1964,definition,
( spl0_89
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
thf(f1965,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f1964]) ).
thf(f1966,plain,
( spl0_88
| spl0_89
| spl0_82 ),
inference(avatar_split_clause,[],[f1844,f1820,f1964,f1961]) ).
thf(f1971,definition,
( spl0_91
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
thf(f1972,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f1971]) ).
thf(f1975,definition,
( spl0_92
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
thf(f1976,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f1975]) ).
thf(f1977,plain,
( spl0_92
| spl0_89 ),
inference(avatar_split_clause,[],[f1530,f1964,f1975]) ).
thf(f1998,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f121,f36]) ).
thf(f2000,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f1998]) ).
thf(f2001,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f2000]) ).
thf(f2092,definition,
( spl0_94
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
thf(f2093,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_94 ),
inference(avatar_component_clause,[],[f2092]) ).
thf(f2159,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f29,f128]) ).
thf(f2163,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f2159]) ).
thf(f2204,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f454,f174]) ).
thf(f2210,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f2204]) ).
thf(f2227,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_9 ),
inference(constrained_superposition,[],[f2163,f65]) ).
thf(f2231,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_3
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f2227]) ).
thf(f2306,definition,
( spl0_95
<=> ! [X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
thf(f2307,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f2306]) ).
thf(f2309,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_13
| ~ spl0_95 ),
inference(constrained_superposition,[],[f2307,f208]) ).
thf(f2316,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_13
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f2309]) ).
thf(f2319,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[],[f2316,f65]) ).
thf(f2320,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_95 ),
inference(avatar_contradiction_clause,[],[f2319]) ).
thf(f2324,definition,
( spl0_96
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
thf(f2325,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f2324]) ).
thf(f2330,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f544,f174]) ).
thf(f2335,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f2330]) ).
thf(f2339,plain,
( spl0_56
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f2335,f543,f1120]) ).
thf(f2343,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f444,f174]) ).
thf(f2347,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f2343]) ).
thf(f2352,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f1121,f74]) ).
thf(f2357,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f2352]) ).
thf(f2374,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f2347,f75]) ).
thf(f2380,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f2374]) ).
thf(f2387,plain,
( spl0_25
| ~ spl0_48
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f2380,f443,f694,f325]) ).
thf(f2473,definition,
( spl0_98
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
thf(f2474,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f2473]) ).
thf(f2488,definition,
( spl0_99
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
thf(f2489,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f2488]) ).
thf(f2491,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2231,f65]) ).
thf(f2499,plain,
( spl0_29
| spl0_11
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f2491,f127,f64,f160,f368]) ).
thf(f2502,plain,
( spl0_47
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f2357,f1120,f691]) ).
thf(f2505,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_36 ),
inference(constrained_superposition,[],[f458,f35]) ).
thf(f2508,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_36 ),
inference(trivial_inequality_removal,[],[f2505]) ).
thf(f2510,plain,
( spl0_17
| spl0_36 ),
inference(avatar_split_clause,[],[f2508,f457,f222]) ).
thf(f2518,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f29,f161]) ).
thf(f2519,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f2518]) ).
thf(f2541,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_99 ),
inference(constrained_superposition,[],[f2489,f30]) ).
thf(f2546,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f2541]) ).
thf(f2553,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f540,f30]) ).
thf(f2555,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f2553]) ).
thf(f2595,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3
| ~ spl0_17 ),
inference(constrained_superposition,[],[f71,f223]) ).
thf(f2600,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f2595]) ).
thf(f2601,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f2600]) ).
thf(f2636,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_6 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f2639,definition,
( spl0_101
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
thf(f2640,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f2639]) ).
thf(f2641,plain,
( spl0_6
| spl0_101
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1232,f163,f2639,f92]) ).
thf(f2643,definition,
( spl0_102
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
thf(f2644,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f2643]) ).
thf(f2645,plain,
( spl0_6
| spl0_102
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1346,f554,f2643,f92]) ).
thf(f2647,definition,
( spl0_103
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
thf(f2648,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f2647]) ).
thf(f2649,plain,
( spl0_6
| spl0_103
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1353,f163,f2647,f92]) ).
thf(f2683,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_101 ),
inference(constrained_superposition,[],[f2640,f30]) ).
thf(f2689,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_101 ),
inference(duplicate_literal_removal,[],[f2683]) ).
thf(f2690,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_101 ),
inference(trivial_inequality_removal,[],[f2689]) ).
thf(f2695,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_101 ),
inference(constrained_superposition,[],[f2690,f30]) ).
thf(f2696,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_101 ),
inference(trivial_inequality_removal,[],[f2695]) ).
thf(f2785,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f2644,f30]) ).
thf(f2788,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f2785]) ).
thf(f2790,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_103 ),
inference(constrained_superposition,[],[f2648,f36]) ).
thf(f2793,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f2790]) ).
thf(f2860,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_99 ),
inference(constrained_superposition,[],[f2546,f30]) ).
thf(f2867,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_99 ),
inference(duplicate_literal_removal,[],[f2860]) ).
thf(f2868,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f2867]) ).
thf(f2875,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_99 ),
inference(constrained_superposition,[],[f2868,f30]) ).
thf(f2876,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f2875]) ).
thf(f2887,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f2788,f30]) ).
thf(f2888,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f2887]) ).
thf(f2916,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f2555,f30]) ).
thf(f2922,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_39 ),
inference(duplicate_literal_removal,[],[f2916]) ).
thf(f2923,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f2922]) ).
thf(f2931,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f2923,f35]) ).
thf(f2933,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f2923,f30]) ).
thf(f2935,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f2933]) ).
thf(f2936,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f2931]) ).
thf(f2979,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_63 ),
inference(constrained_superposition,[],[f2519,f1563]) ).
thf(f2986,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f2979]) ).
thf(f3002,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_63 ),
inference(constrained_superposition,[],[f2986,f65]) ).
thf(f3011,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f3002]) ).
thf(f3016,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f3011,f65]) ).
thf(f3017,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f3016,f65]) ).
thf(f3019,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_63 ),
inference(constrained_superposition,[],[f2519,f3017]) ).
thf(f3023,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_63 ),
inference(duplicate_literal_removal,[],[f3019]) ).
thf(f3024,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f3023]) ).
thf(f3027,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_63 ),
inference(constrained_superposition,[],[f3024,f65]) ).
thf(f3037,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f3027]) ).
thf(f3039,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f3037,f65]) ).
thf(f3040,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f3039]) ).
thf(f3106,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_88 ),
inference(constrained_superposition,[],[f174,f1962]) ).
thf(f3273,definition,
( spl0_107
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
thf(f3274,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f3273]) ).
thf(f3277,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f3106,f26]) ).
thf(f3289,definition,
( spl0_110
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
thf(f3290,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f3289]) ).
thf(f3292,definition,
( spl0_111
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
thf(f3293,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f3292]) ).
thf(f3304,definition,
( spl0_113
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
thf(f3305,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f3304]) ).
thf(f3313,definition,
( spl0_115
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
thf(f3314,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f3313]) ).
thf(f3322,definition,
( spl0_117
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
thf(f3323,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f3322]) ).
thf(f3326,definition,
( spl0_118
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
thf(f3327,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f3326]) ).
thf(f3330,definition,
( spl0_119
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
thf(f3331,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_119 ),
inference(avatar_component_clause,[],[f3330]) ).
thf(f3337,plain,
( $false
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f3277,f31]) ).
thf(f3338,plain,
~ spl0_88,
inference(avatar_contradiction_clause,[],[f3337]) ).
thf(f3341,definition,
( spl0_120
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
thf(f3342,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_120 ),
inference(avatar_component_clause,[],[f3341]) ).
thf(f3349,definition,
( spl0_122
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
thf(f3350,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f3349]) ).
thf(f3465,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_61 ),
inference(constrained_superposition,[],[f2601,f1556]) ).
thf(f3470,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f3465]) ).
thf(f3476,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_68 ),
inference(avatar_component_clause,[],[f1584]) ).
thf(f3477,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_58 ),
inference(avatar_component_clause,[],[f1545]) ).
thf(f3479,plain,
( ~ spl0_68
| ~ spl0_3
| ~ spl0_17
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f3470,f1555,f222,f64,f1584]) ).
thf(f3482,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_94 ),
inference(constrained_superposition,[],[f2093,f174]) ).
thf(f3484,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_94 ),
inference(constrained_superposition,[],[f2093,f37]) ).
thf(f3485,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_94 ),
inference(constrained_superposition,[],[f2093,f30]) ).
thf(f3487,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_94 ),
inference(trivial_inequality_removal,[],[f3485]) ).
thf(f3488,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_94 ),
inference(trivial_inequality_removal,[],[f3482]) ).
thf(f3489,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_94 ),
inference(trivial_inequality_removal,[],[f3484]) ).
thf(f3508,plain,
( spl0_28
| spl0_61
| spl0_94 ),
inference(avatar_split_clause,[],[f3489,f2092,f1555,f363]) ).
thf(f3509,plain,
( spl0_61
| spl0_94 ),
inference(avatar_split_clause,[],[f3488,f2092,f1555]) ).
thf(f3510,plain,
( spl0_88
| spl0_61
| spl0_94 ),
inference(avatar_split_clause,[],[f3487,f2092,f1555,f1961]) ).
thf(f3522,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_89
| ~ spl0_95 ),
inference(constrained_superposition,[],[f2307,f1965]) ).
thf(f3523,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2519,f1965]) ).
thf(f3531,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_89
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f3522]) ).
thf(f3532,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f3523]) ).
thf(f3534,plain,
( $false
| ~ spl0_3
| ~ spl0_89
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[],[f3531,f65]) ).
thf(f3535,plain,
( ~ spl0_3
| ~ spl0_89
| ~ spl0_95 ),
inference(avatar_contradiction_clause,[],[f3534]) ).
thf(f3536,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_89 ),
inference(constrained_superposition,[],[f3532,f65]) ).
thf(f3544,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f3536]) ).
thf(f3552,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f3544,f65]) ).
thf(f3553,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f3552,f65]) ).
thf(f3554,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f3553]) ).
thf(f3637,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_72 ),
inference(avatar_component_clause,[],[f1598]) ).
thf(f3644,plain,
( spl0_14
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f2210,f453,f210]) ).
thf(f3690,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f74,f364]) ).
thf(f3808,definition,
( spl0_130
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
thf(f3809,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f3808]) ).
thf(f3812,definition,
( spl0_131
<=> ! [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_131])],[avatar_definition]) ).
thf(f3813,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f3812]) ).
thf(f3816,definition,
( spl0_132
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f3817,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f3816]) ).
thf(f3821,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f3690,f26]) ).
thf(f3832,definition,
( spl0_134
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
thf(f3833,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f3832]) ).
thf(f3836,definition,
( spl0_135
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
thf(f3837,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_135 ),
inference(avatar_component_clause,[],[f3836]) ).
thf(f3840,definition,
( spl0_136
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
thf(f3841,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f3840]) ).
thf(f3855,definition,
( spl0_137
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
thf(f3856,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f3855]) ).
thf(f3864,definition,
( spl0_139
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
thf(f3865,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f3864]) ).
thf(f3877,definition,
( spl0_140
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
thf(f3878,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f3877]) ).
thf(f3882,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f3821,f31]) ).
thf(f3883,plain,
~ spl0_28,
inference(avatar_contradiction_clause,[],[f3882]) ).
thf(f3891,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f29,f93]) ).
thf(f3892,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f3891]) ).
thf(f3895,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_20
| ~ spl0_101 ),
inference(constrained_superposition,[],[f1482,f2696]) ).
thf(f3896,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12
| spl0_20 ),
inference(constrained_superposition,[],[f1482,f1327]) ).
thf(f3897,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_20
| ~ spl0_101 ),
inference(trivial_inequality_removal,[],[f3895]) ).
thf(f3898,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_12
| spl0_20 ),
inference(trivial_inequality_removal,[],[f3896]) ).
thf(f3899,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_12
| spl0_13
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f3898,f568]) ).
thf(f3900,plain,
( spl0_96
| spl0_28
| ~ spl0_12
| spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f3899,f256,f207,f163,f363,f2324]) ).
thf(f3916,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f131,f30]) ).
thf(f3917,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f131,f37]) ).
thf(f3918,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f131,f74]) ).
thf(f3919,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f131,f36]) ).
thf(f3920,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f3918]) ).
thf(f3921,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f3916]) ).
thf(f3922,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f3919]) ).
thf(f3923,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f3917]) ).
thf(f3931,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ X1 ) )
= X0 ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f3920,f30]) ).
thf(f3938,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f3920,f36]) ).
thf(f3940,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f3938]) ).
thf(f3941,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ X1 ) )
= X0 ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f3931]) ).
thf(f3979,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_91 ),
inference(constrained_superposition,[],[f1972,f75]) ).
thf(f3982,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f3979]) ).
thf(f3988,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_72
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f3982,f3637]) ).
thf(f3989,plain,
( ~ spl0_48
| spl0_51
| spl0_72
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f3988,f1971,f1598,f953,f694]) ).
thf(f4017,definition,
( spl0_141
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
thf(f4018,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f4017]) ).
thf(f4024,definition,
( spl0_143
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f4025,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f4024]) ).
thf(f4093,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_62 ),
inference(constrained_superposition,[],[f174,f1560]) ).
thf(f4209,definition,
( spl0_144
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
thf(f4210,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f4209]) ).
thf(f4212,definition,
( spl0_145
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
thf(f4213,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f4212]) ).
thf(f4217,definition,
( spl0_146
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
thf(f4218,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f4217]) ).
thf(f4222,definition,
( spl0_147
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
thf(f4223,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_147 ),
inference(avatar_component_clause,[],[f4222]) ).
thf(f4233,definition,
( spl0_148
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f4234,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f4233]) ).
thf(f4241,definition,
( spl0_149
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
thf(f4242,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f4241]) ).
thf(f4251,definition,
( spl0_150
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
thf(f4252,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f4251]) ).
thf(f4265,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f4093,f31]) ).
thf(f4270,definition,
( spl0_152
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f4271,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f4270]) ).
thf(f4309,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f4265,f26]) ).
thf(f4310,plain,
~ spl0_62,
inference(avatar_contradiction_clause,[],[f4309]) ).
thf(f4328,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f29,f1546]) ).
thf(f4331,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f4328]) ).
thf(f4332,plain,
( spl0_150
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f4331,f1545,f4251]) ).
thf(f4346,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_61 ),
inference(constrained_superposition,[],[f29,f1556]) ).
thf(f4347,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f4346]) ).
thf(f4361,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f954,f174]) ).
thf(f4366,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f4361]) ).
thf(f4370,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f4366,f75]) ).
thf(f4374,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f4370]) ).
thf(f4377,plain,
( spl0_25
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f4374,f953,f325]) ).
thf(f4380,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f29,f1599]) ).
thf(f4381,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f4380]) ).
thf(f4383,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_150 ),
inference(constrained_superposition,[],[f4252,f65]) ).
thf(f4397,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f4383]) ).
thf(f4400,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_3
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f4397,f65]) ).
thf(f4401,plain,
( spl0_29
| ~ spl0_3
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f4400,f4251,f64,f368]) ).
thf(f4407,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_91 ),
inference(constrained_superposition,[],[f1972,f75]) ).
thf(f4415,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f4407]) ).
thf(f4416,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_3
| ~ spl0_61 ),
inference(constrained_superposition,[],[f4347,f65]) ).
thf(f4423,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_3
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f4416]) ).
thf(f4432,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_72 ),
inference(constrained_superposition,[],[f4381,f65]) ).
thf(f4439,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f4432]) ).
thf(f4446,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_3
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f4439,f65]) ).
thf(f4447,plain,
( spl0_141
| ~ spl0_3
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f4446,f1598,f64,f4017]) ).
thf(f4448,plain,
( ~ spl0_48
| spl0_72
| spl0_51
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f4415,f1971,f953,f1598,f694]) ).
thf(f4449,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_72
| ~ spl0_101 ),
inference(constrained_superposition,[],[f3637,f2696]) ).
thf(f4450,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_12
| spl0_72 ),
inference(constrained_superposition,[],[f3637,f1327]) ).
thf(f4451,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_12
| spl0_72 ),
inference(trivial_inequality_removal,[],[f4450]) ).
thf(f4452,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_72
| ~ spl0_101 ),
inference(trivial_inequality_removal,[],[f4449]) ).
thf(f4453,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_12
| spl0_58
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f4451,f3477]) ).
thf(f4454,plain,
( spl0_62
| spl0_79
| ~ spl0_12
| spl0_58
| spl0_72 ),
inference(avatar_split_clause,[],[f4453,f1598,f1545,f163,f1668,f1559]) ).
thf(f4455,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f954,f30]) ).
thf(f4456,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f954,f37]) ).
thf(f4462,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f4455]) ).
thf(f4466,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f4456]) ).
thf(f4474,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f4462,f75]) ).
thf(f4475,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f4462,f35]) ).
thf(f4477,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f4462,f30]) ).
thf(f4478,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f4475]) ).
thf(f4480,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f4477]) ).
thf(f4481,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f4474]) ).
thf(f4482,plain,
( spl0_96
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f4480,f953,f2324]) ).
thf(f4484,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f4466,f37]) ).
thf(f4488,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f4484]) ).
thf(f4489,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f3921,f30]) ).
thf(f4490,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( z = X0 ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f3921,f37]) ).
thf(f4491,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f3921,f74]) ).
thf(f4492,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f3921,f36]) ).
thf(f4493,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4492]) ).
thf(f4494,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4489]) ).
thf(f4495,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( z = X0 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4490]) ).
thf(f4496,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4491]) ).
thf(f4522,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_34
| ~ spl0_95 ),
inference(constrained_superposition,[],[f2307,f451]) ).
thf(f4530,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_34
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f4522]) ).
thf(f4531,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_3
| ~ spl0_34
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[],[f4530,f65]) ).
thf(f4532,plain,
( spl0_46
| ~ spl0_3
| ~ spl0_34
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f4531,f2306,f450,f64,f575]) ).
thf(f4550,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f454,f36]) ).
thf(f4556,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_35 ),
inference(duplicate_literal_removal,[],[f4550]) ).
thf(f4557,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f4556]) ).
thf(f4573,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) )
| ( z = X1 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f3923,f30]) ).
thf(f4574,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f3923,f37]) ).
thf(f4575,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X1 )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f3923,f74]) ).
thf(f4578,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X1 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4573]) ).
thf(f4579,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) )
| ( z = X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4575]) ).
thf(f4580,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4574]) ).
thf(f4581,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( s @ z )
= X1 )
| ( X0 = X1 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f4494,f30]) ).
thf(f4582,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f4494,f35]) ).
thf(f4588,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f4494,f36]) ).
thf(f4592,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4581]) ).
thf(f4594,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4588]) ).
thf(f4596,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4582]) ).
thf(f4664,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f29,f326]) ).
thf(f4665,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f4664]) ).
thf(f4668,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_25 ),
inference(constrained_superposition,[],[f4665,f65]) ).
thf(f4675,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f4668]) ).
thf(f4705,definition,
( spl0_154
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
thf(f4706,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f4705]) ).
thf(f4751,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f4495,f35]) ).
thf(f4760,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z = X0 )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4751]) ).
thf(f4772,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f4578,f36]) ).
thf(f4773,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4772]) ).
thf(f4806,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f4580,f175]) ).
thf(f4813,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4806]) ).
thf(f4820,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f4496,f35]) ).
thf(f4822,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( $true != $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f4496,f30]) ).
thf(f4827,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4822]) ).
thf(f4828,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4820]) ).
thf(f4946,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) )
| ~ spl0_61
| ~ spl0_86 ),
inference(constrained_superposition,[],[f4347,f1946]) ).
thf(f4948,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_86 ),
inference(constrained_superposition,[],[f4665,f1946]) ).
thf(f4950,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_86 ),
inference(constrained_superposition,[],[f29,f1946]) ).
thf(f4952,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_61
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f4946]) ).
thf(f4956,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f4950]) ).
thf(f4957,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f4948]) ).
thf(f4958,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_25
| ~ spl0_61
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f4952,f326]) ).
thf(f4962,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) )
| ~ spl0_25
| spl0_72
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f4957,f3637]) ).
thf(f4964,definition,
( spl0_155
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
thf(f4965,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f4964]) ).
thf(f4967,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_25
| spl0_72
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f4962,f326]) ).
thf(f4968,plain,
( spl0_155
| ~ spl0_25
| spl0_72
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f4967,f1945,f1598,f325,f4964]) ).
thf(f5021,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ X1 ) )
= X0 ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f3941,f30]) ).
thf(f5024,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f3941,f36]) ).
thf(f5025,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f5024]) ).
thf(f5028,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ X1 ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ X1 ) )
= X0 ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f5021]) ).
thf(f5029,plain,
( spl0_155
| ~ spl0_25
| ~ spl0_61
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f4958,f1945,f1555,f325,f4964]) ).
thf(f5030,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_86
| ~ spl0_155 ),
inference(constrained_superposition,[],[f4965,f1946]) ).
thf(f5078,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_86
| ~ spl0_155 ),
inference(duplicate_literal_removal,[],[f5030]) ).
thf(f5079,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_86
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f5078]) ).
thf(f5082,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_89 ),
inference(avatar_component_clause,[],[f1964]) ).
thf(f5084,definition,
( spl0_156
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f5085,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f5084]) ).
thf(f5086,plain,
( ~ spl0_89
| spl0_156
| ~ spl0_86
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f5079,f4964,f1945,f5084,f1964]) ).
thf(f5087,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_30
| spl0_89 ),
inference(constrained_superposition,[],[f5082,f437]) ).
thf(f5090,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_89
| ~ spl0_99 ),
inference(constrained_superposition,[],[f5082,f2876]) ).
thf(f5092,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_89
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f5090]) ).
thf(f5094,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_30
| spl0_89 ),
inference(trivial_inequality_removal,[],[f5087]) ).
thf(f5108,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_86 ),
inference(constrained_superposition,[],[f4956,f65]) ).
thf(f5114,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f5108]) ).
thf(f5121,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f5114,f65]) ).
thf(f5122,plain,
( spl0_156
| spl0_141
| ~ spl0_3
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f5121,f1945,f64,f4017,f5084]) ).
thf(f5141,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f4579,f174]) ).
thf(f5144,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ X1 ) ) )
| ( z = X1 ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f4579,f37]) ).
thf(f5146,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= X1 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ X1 ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f5144]) ).
thf(f5150,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f5141]) ).
thf(f5179,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f29,f1818]) ).
thf(f5182,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f5179]) ).
thf(f5222,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_3
| ~ spl0_81 ),
inference(constrained_superposition,[],[f5182,f65]) ).
thf(f5235,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f5222]) ).
thf(f5240,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_3
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f5235,f65]) ).
thf(f5242,definition,
( spl0_157
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
thf(f5243,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f5242]) ).
thf(f5244,plain,
( spl0_141
| spl0_157
| ~ spl0_3
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f5240,f1817,f64,f5242,f4017]) ).
thf(f5465,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_10
| spl0_13 ),
inference(constrained_superposition,[],[f568,f5146]) ).
thf(f5477,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_10
| spl0_13 ),
inference(trivial_inequality_removal,[],[f5465]) ).
thf(f5480,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_10
| spl0_13
| spl0_89 ),
inference(constrained_superposition,[],[f5082,f5477]) ).
thf(f5504,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_10
| spl0_13
| spl0_89 ),
inference(trivial_inequality_removal,[],[f5480]) ).
thf(f5556,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f1543,f1293]) ).
thf(f5578,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(constrained_superposition,[],[f32,f1293]) ).
thf(f5592,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(duplicate_literal_removal,[],[f5556]) ).
thf(f5593,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f5592]) ).
thf(f5605,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f5578]) ).
thf(f5620,definition,
( spl0_160
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f5621,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f5620]) ).
thf(f5623,definition,
( spl0_161
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
thf(f5624,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f5623]) ).
thf(f5625,plain,
( spl0_160
| spl0_161 ),
inference(avatar_split_clause,[],[f5593,f5623,f5620]) ).
thf(f5628,definition,
( spl0_162
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
thf(f5629,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f5628]) ).
thf(f5631,definition,
( spl0_163
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
thf(f5632,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f5631]) ).
thf(f5656,definition,
( spl0_164
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
thf(f5657,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f5656]) ).
thf(f5666,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_25
| ~ spl0_143 ),
inference(constrained_superposition,[],[f4025,f326]) ).
thf(f5692,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_143
| ~ spl0_154 ),
inference(constrained_superposition,[],[f4025,f4706]) ).
thf(f5718,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_25
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f5666]) ).
thf(f5721,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_143
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f5692]) ).
thf(f5750,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_164 ),
inference(constrained_superposition,[],[f5657,f5146]) ).
thf(f5801,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f5750]) ).
thf(f5821,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_161 ),
inference(constrained_superposition,[],[f5624,f75]) ).
thf(f5828,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f5821]) ).
thf(f5831,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_72
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f5828,f3637]) ).
thf(f5836,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_72
| ~ spl0_161 ),
inference(constrained_superposition,[],[f5831,f175]) ).
thf(f5843,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_72
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f5836]) ).
thf(f5846,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_72
| spl0_89
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f5843,f5082]) ).
thf(f5847,plain,
( ~ spl0_23
| spl0_72
| spl0_89
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f5846,f5623,f1964,f1598,f302]) ).
thf(f5997,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f5632,f175]) ).
thf(f5999,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f5632,f36]) ).
thf(f6000,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_163 ),
inference(duplicate_literal_removal,[],[f5999]) ).
thf(f6001,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f6000]) ).
thf(f6007,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f5997]) ).
thf(f6009,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_89
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f6007,f5082]) ).
thf(f6010,plain,
( spl0_137
| spl0_89
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f6009,f5631,f1964,f3855]) ).
thf(f6058,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f5605,f1293]) ).
thf(f6064,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f6058]) ).
thf(f6065,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f6064]) ).
thf(f6071,definition,
( spl0_165
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
thf(f6072,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f6071]) ).
thf(f6075,definition,
( spl0_166
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
thf(f6076,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f6075]) ).
thf(f6077,plain,
( spl0_162
| spl0_166 ),
inference(avatar_split_clause,[],[f6065,f6075,f5628]) ).
thf(f6079,definition,
( spl0_167
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
thf(f6080,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f6079]) ).
thf(f6569,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f1233,f1292]) ).
thf(f6573,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f6569]) ).
thf(f6614,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_160 ),
inference(constrained_superposition,[],[f29,f5621]) ).
thf(f6620,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_160 ),
inference(trivial_inequality_removal,[],[f6614]) ).
thf(f6810,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_160 ),
inference(constrained_superposition,[],[f6620,f65]) ).
thf(f6824,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_160 ),
inference(trivial_inequality_removal,[],[f6810]) ).
thf(f6828,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_3
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f6824,f65]) ).
thf(f6829,plain,
( spl0_141
| spl0_162
| ~ spl0_3
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f6828,f5620,f64,f5628,f4017]) ).
thf(f6848,definition,
( spl0_170
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
thf(f6849,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f6848]) ).
thf(f6853,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_3
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f4423,f65]) ).
thf(f6856,definition,
( spl0_171
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
thf(f6857,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f6856]) ).
thf(f6859,plain,
( spl0_58
| ~ spl0_30
| spl0_89 ),
inference(avatar_split_clause,[],[f5094,f1964,f436,f1545]) ).
thf(f6861,plain,
( spl0_79
| spl0_58
| spl0_62
| ~ spl0_12
| spl0_72 ),
inference(avatar_split_clause,[],[f4451,f1598,f163,f1559,f1545,f1668]) ).
thf(f6869,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_10
| spl0_13
| spl0_89 ),
inference(forward_subsumption_resolution,[],[f5504,f27]) ).
thf(f6871,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f4675,f65]) ).
thf(f6887,plain,
( spl0_95
| ~ spl0_3
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f6853,f1555,f64,f2306]) ).
thf(f6893,plain,
( spl0_58
| spl0_28
| ~ spl0_10
| spl0_13
| spl0_89 ),
inference(avatar_split_clause,[],[f6869,f1964,f207,f130,f363,f1545]) ).
thf(f6894,plain,
( spl0_98
| spl0_95
| ~ spl0_3
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f6871,f325,f64,f2306,f2473]) ).
thf(f6909,definition,
( spl0_174
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
thf(f6910,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ z ) ) )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f6909]) ).
thf(f6921,definition,
( spl0_176
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
thf(f6922,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f6921]) ).
thf(f6924,definition,
( spl0_177
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
thf(f6925,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f6924]) ).
thf(f6926,plain,
( spl0_176
| spl0_177 ),
inference(avatar_split_clause,[],[f118,f6924,f6921]) ).
thf(f6928,definition,
( spl0_178
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
thf(f6929,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f6928]) ).
thf(f6931,definition,
( spl0_179
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
thf(f6932,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f6931]) ).
thf(f6933,plain,
( spl0_178
| spl0_179 ),
inference(avatar_split_clause,[],[f425,f6931,f6928]) ).
thf(f6935,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4828,f27]) ).
thf(f6938,definition,
( spl0_180
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
thf(f6939,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f6938]) ).
thf(f6941,definition,
( spl0_181
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
thf(f6942,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f6941]) ).
thf(f6944,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f5025,f27]) ).
thf(f6946,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_72
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f4452,f27]) ).
thf(f6951,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_50 ),
inference(forward_subsumption_resolution,[],[f706,f27]) ).
thf(f6953,definition,
( spl0_183
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f6954,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f6953]) ).
thf(f6967,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_20
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f3897,f27]) ).
thf(f6969,definition,
( spl0_186
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f6970,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f6969]) ).
thf(f6971,plain,
( spl0_181
| spl0_186
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f2001,f120,f6969,f6941]) ).
thf(f6977,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4596,f27]) ).
thf(f6980,definition,
( spl0_187
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f6981,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f6980]) ).
thf(f6982,plain,
( spl0_187
| ~ spl0_13
| ~ spl0_10
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f5801,f5656,f130,f207,f6980]) ).
thf(f6993,definition,
( spl0_189
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
thf(f6994,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ z @ X2 ) ) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f6993]) ).
thf(f6995,plain,
( spl0_178
| spl0_189 ),
inference(avatar_split_clause,[],[f496,f6993,f6928]) ).
thf(f6997,definition,
( spl0_190
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f6998,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f6997]) ).
thf(f6999,plain,
( spl0_190
| spl0_181
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f4493,f130,f6941,f6997]) ).
thf(f7009,plain,
( spl0_181
| spl0_22 ),
inference(avatar_split_clause,[],[f277,f271,f6941]) ).
thf(f7012,definition,
( spl0_192
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f7013,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f7012]) ).
thf(f7015,definition,
( spl0_193
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f7016,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f7015]) ).
thf(f7017,plain,
( spl0_192
| spl0_193 ),
inference(avatar_split_clause,[],[f202,f7015,f7012]) ).
thf(f7020,definition,
( spl0_194
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f7021,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f7020]) ).
thf(f7023,definition,
( spl0_195
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
thf(f7024,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f7023]) ).
thf(f7025,plain,
( spl0_194
| spl0_195 ),
inference(avatar_split_clause,[],[f1535,f7023,f7020]) ).
thf(f7026,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4760,f27]) ).
thf(f7032,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4773,f27]) ).
thf(f7034,definition,
( spl0_197
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
thf(f7035,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f7034]) ).
thf(f7036,plain,
( spl0_192
| spl0_197
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f4557,f453,f7034,f7012]) ).
thf(f7039,definition,
( spl0_198
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
thf(f7040,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f7039]) ).
thf(f7041,plain,
( spl0_198
| spl0_181 ),
inference(avatar_split_clause,[],[f86,f6941,f7039]) ).
thf(f7042,plain,
( spl0_195
| spl0_84 ),
inference(avatar_split_clause,[],[f1836,f1828,f7023]) ).
thf(f7048,definition,
( spl0_200
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
thf(f7049,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f7048]) ).
thf(f7050,plain,
( spl0_200
| spl0_195
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f6001,f5631,f7023,f7048]) ).
thf(f7055,definition,
( spl0_202
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f7056,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true ) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f7055]) ).
thf(f7059,definition,
( spl0_203
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f7060,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f7059]) ).
thf(f7062,definition,
( spl0_204
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
thf(f7063,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f7062]) ).
thf(f7064,plain,
( spl0_203
| spl0_204 ),
inference(avatar_split_clause,[],[f323,f7062,f7059]) ).
thf(f7065,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4594,f27]) ).
thf(f7072,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f5150,f27]) ).
thf(f7078,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_89
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[],[f5092,f27]) ).
thf(f7085,definition,
( spl0_208
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
thf(f7086,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f7085]) ).
thf(f7090,definition,
( spl0_209
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f7091,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f7090]) ).
thf(f7093,plain,
( spl0_186
| spl0_181
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f3922,f130,f6941,f6969]) ).
thf(f7117,definition,
( spl0_215
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).
thf(f7118,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f7117]) ).
thf(f7119,plain,
( spl0_181
| spl0_215
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f6935,f130,f7117,f6941]) ).
thf(f7120,plain,
( spl0_183
| spl0_181
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f6944,f130,f6941,f6953]) ).
thf(f7125,plain,
( spl0_195
| spl0_58
| spl0_62
| spl0_72
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f6946,f2639,f1598,f1559,f1545,f7023]) ).
thf(f7126,plain,
( spl0_192
| spl0_50 ),
inference(avatar_split_clause,[],[f6951,f701,f7012]) ).
thf(f7129,plain,
( spl0_13
| spl0_28
| spl0_192
| spl0_20
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f6967,f2639,f256,f7012,f363,f207]) ).
thf(f7132,definition,
( spl0_217
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).
thf(f7133,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f7132]) ).
thf(f7134,plain,
( spl0_181
| spl0_217
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f6977,f130,f7132,f6941]) ).
thf(f7150,definition,
( spl0_221
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
thf(f7151,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f7150]) ).
thf(f7152,plain,
( spl0_181
| spl0_221
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f7026,f130,f7150,f6941]) ).
thf(f7154,definition,
( spl0_222
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f7155,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f7154]) ).
thf(f7156,plain,
( spl0_222
| spl0_181
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f7032,f130,f6941,f7154]) ).
thf(f7158,definition,
( spl0_223
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f7159,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f7158]) ).
thf(f7160,plain,
( spl0_181
| spl0_223
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f7065,f130,f7158,f6941]) ).
thf(f7162,plain,
( spl0_47
| spl0_13
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f7072,f130,f207,f691]) ).
thf(f7164,plain,
( spl0_195
| spl0_61
| spl0_88
| spl0_89
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f7078,f2488,f1964,f1961,f1555,f7023]) ).
thf(f7167,plain,
( spl0_58
| ~ spl0_20
| spl0_62
| spl0_88
| ~ spl0_143
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f5721,f4705,f4024,f1961,f1559,f256,f1545]) ).
thf(f7173,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_25
| spl0_72
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f5718,f3637]) ).
thf(f7189,plain,
( ~ spl0_20
| ~ spl0_25
| spl0_72
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f7173,f4024,f1598,f325,f256]) ).
thf(f7203,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f29,f208]) ).
thf(f7204,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f7203]) ).
thf(f7205,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f29,f257]) ).
thf(f7206,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f7205]) ).
thf(f7208,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_2
| spl0_68 ),
inference(constrained_superposition,[],[f3476,f56]) ).
thf(f7211,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| spl0_68 ),
inference(trivial_inequality_removal,[],[f7208]) ).
thf(f7213,plain,
( spl0_195
| ~ spl0_2
| spl0_68 ),
inference(avatar_split_clause,[],[f7211,f1584,f55,f7023]) ).
thf(f7215,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_25
| ~ spl0_195 ),
inference(constrained_superposition,[],[f4665,f7024]) ).
thf(f7217,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f7215]) ).
thf(f7224,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| spl0_72
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f7217,f3637]) ).
thf(f7227,definition,
( spl0_225
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).
thf(f7228,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f7227]) ).
thf(f7230,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_192 ),
inference(avatar_component_clause,[],[f7012]) ).
thf(f7231,plain,
( spl0_95
| ~ spl0_192
| ~ spl0_25
| spl0_72
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f7224,f7023,f1598,f325,f7012,f2306]) ).
thf(f7237,definition,
( spl0_227
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f7238,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f7237]) ).
thf(f7246,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_119 ),
inference(constrained_superposition,[],[f3331,f35]) ).
thf(f7247,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_119 ),
inference(constrained_superposition,[],[f3331,f30]) ).
thf(f7248,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_119 ),
inference(trivial_inequality_removal,[],[f7247]) ).
thf(f7249,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_119 ),
inference(trivial_inequality_removal,[],[f7246]) ).
thf(f7250,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_119 ),
inference(forward_subsumption_resolution,[],[f7248,f27]) ).
thf(f7251,plain,
( $false
| spl0_68
| spl0_119 ),
inference(forward_subsumption_resolution,[],[f7249,f3476]) ).
thf(f7252,plain,
( spl0_68
| spl0_119 ),
inference(avatar_contradiction_clause,[],[f7251]) ).
thf(f7253,plain,
( $false
| spl0_68
| spl0_119 ),
inference(forward_subsumption_resolution,[],[f7250,f3476]) ).
thf(f7254,plain,
( spl0_68
| spl0_119 ),
inference(avatar_contradiction_clause,[],[f7253]) ).
thf(f7268,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_61 ),
inference(avatar_component_clause,[],[f1555]) ).
thf(f7270,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| spl0_61 ),
inference(constrained_superposition,[],[f7268,f326]) ).
thf(f7272,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_51
| spl0_61 ),
inference(constrained_superposition,[],[f7268,f4481]) ).
thf(f7277,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_51
| spl0_61 ),
inference(constrained_superposition,[],[f7268,f4488]) ).
thf(f7279,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_61
| ~ spl0_96 ),
inference(constrained_superposition,[],[f7268,f2325]) ).
thf(f7280,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_61
| ~ spl0_102 ),
inference(constrained_superposition,[],[f7268,f2888]) ).
thf(f7281,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_61
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f7279]) ).
thf(f7283,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_61
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f7280]) ).
thf(f7285,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_51
| spl0_61 ),
inference(trivial_inequality_removal,[],[f7277]) ).
thf(f7287,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| spl0_61 ),
inference(trivial_inequality_removal,[],[f7270]) ).
thf(f7291,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_51
| spl0_61 ),
inference(trivial_inequality_removal,[],[f7272]) ).
thf(f7294,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_61
| spl0_72
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f7283,f3637]) ).
thf(f7304,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_61
| spl0_72
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f7294,f27]) ).
thf(f7311,plain,
( spl0_62
| spl0_88
| spl0_195
| spl0_61
| spl0_72
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f7304,f2643,f1598,f1555,f7023,f1961,f1559]) ).
thf(f7313,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_51
| spl0_61 ),
inference(forward_subsumption_resolution,[],[f7285,f27]) ).
thf(f7320,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f6573,f27]) ).
thf(f7321,plain,
( spl0_88
| spl0_72
| ~ spl0_51
| spl0_61 ),
inference(avatar_split_clause,[],[f7291,f1555,f953,f1598,f1961]) ).
thf(f7324,plain,
( spl0_88
| spl0_62
| spl0_72
| spl0_61
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f7281,f2324,f1555,f1598,f1559,f1961]) ).
thf(f7325,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_61
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f7283,f27]) ).
thf(f7326,plain,
( spl0_72
| ~ spl0_25
| spl0_61 ),
inference(avatar_split_clause,[],[f7287,f1555,f325,f1598]) ).
thf(f7327,plain,
( spl0_72
| spl0_28
| ~ spl0_51
| spl0_61 ),
inference(avatar_split_clause,[],[f7313,f1555,f953,f363,f1598]) ).
thf(f7328,plain,
( ~ spl0_70
| spl0_72
| spl0_86
| spl0_62
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f7320,f163,f1559,f1945,f1598,f1591]) ).
thf(f7333,plain,
( spl0_195
| spl0_62
| spl0_88
| spl0_72
| spl0_61
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f7325,f2643,f1555,f1598,f1961,f1559,f7023]) ).
thf(f7334,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f29,f1599]) ).
thf(f7335,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f7334]) ).
thf(f7412,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f68,f36]) ).
thf(f7413,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f68,f30]) ).
thf(f7414,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f7413]) ).
thf(f7415,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f7412]) ).
thf(f7419,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f444,f174]) ).
thf(f7424,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f7419]) ).
thf(f7433,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_13 ),
inference(constrained_superposition,[],[f3892,f208]) ).
thf(f7455,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f7433]) ).
thf(f7460,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_17 ),
inference(avatar_component_clause,[],[f222]) ).
thf(f7461,plain,
( spl0_95
| ~ spl0_17
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f7455,f207,f92,f222,f2306]) ).
thf(f7463,definition,
( spl0_230
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
thf(f7464,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f7463]) ).
thf(f7484,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_230 ),
inference(constrained_superposition,[],[f7464,f35]) ).
thf(f7487,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f7484]) ).
thf(f7489,plain,
( spl0_49
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f7487,f7463,f698]) ).
thf(f7564,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_13
| ~ spl0_192 ),
inference(constrained_superposition,[],[f7204,f7013]) ).
thf(f7581,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f7564]) ).
thf(f7583,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_13
| ~ spl0_181
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f7581,f6942]) ).
thf(f7585,plain,
( spl0_29
| ~ spl0_13
| ~ spl0_181
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f7583,f7012,f6941,f207,f368]) ).
thf(f7586,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_20
| ~ spl0_29 ),
inference(constrained_superposition,[],[f369,f257]) ).
thf(f7587,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_72 ),
inference(constrained_superposition,[],[f369,f1599]) ).
thf(f7592,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_20
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f7586]) ).
thf(f7594,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f7587]) ).
thf(f7597,plain,
( $false
| ~ spl0_29
| ~ spl0_72
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f7594,f7024]) ).
thf(f7598,plain,
( ~ spl0_29
| ~ spl0_72
| ~ spl0_195 ),
inference(avatar_contradiction_clause,[],[f7597]) ).
thf(f7601,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f2936,f27]) ).
thf(f7615,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f4478,f27]) ).
thf(f7617,definition,
( spl0_233
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).
thf(f7618,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f7617]) ).
thf(f7620,plain,
( ~ spl0_192
| ~ spl0_20
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f7592,f368,f256,f7012]) ).
thf(f7625,plain,
( spl0_17
| spl0_192
| spl0_6
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f7601,f539,f92,f7012,f222]) ).
thf(f7626,plain,
( spl0_6
| spl0_192
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f7615,f953,f7012,f92]) ).
thf(f7630,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f29,f223]) ).
thf(f7631,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f7630]) ).
thf(f7632,plain,
( ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_154
| spl0_192 ),
inference(constrained_superposition,[],[f7230,f4706]) ).
thf(f7633,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_96
| spl0_192 ),
inference(constrained_superposition,[],[f7230,f2325]) ).
thf(f7634,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_96
| spl0_192 ),
inference(trivial_inequality_removal,[],[f7633]) ).
thf(f7635,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_154
| spl0_192 ),
inference(trivial_inequality_removal,[],[f7632]) ).
thf(f7636,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_96
| spl0_192 ),
inference(forward_subsumption_resolution,[],[f7634,f27]) ).
thf(f7637,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_6
| ~ spl0_96
| spl0_192 ),
inference(forward_subsumption_resolution,[],[f7636,f2636]) ).
thf(f7638,plain,
( $false
| spl0_6
| ~ spl0_96
| spl0_192 ),
inference(forward_subsumption_resolution,[],[f7637,f27]) ).
thf(f7639,plain,
( spl0_6
| ~ spl0_96
| spl0_192 ),
inference(avatar_contradiction_clause,[],[f7638]) ).
thf(f7641,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f29,f1585]) ).
thf(f7642,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f7641]) ).
thf(f7656,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f7618,f35]) ).
thf(f7659,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f7656]) ).
thf(f7661,plain,
( spl0_215
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f7659,f7617,f7117]) ).
thf(f7695,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_17
| ~ spl0_25 ),
inference(constrained_superposition,[],[f7631,f326]) ).
thf(f7702,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_17
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f7695]) ).
thf(f7751,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_20 ),
inference(constrained_superposition,[],[f7206,f208]) ).
thf(f7773,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f7751]) ).
thf(f7774,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_13
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f7773]) ).
thf(f7794,definition,
( spl0_235
<=> ! [X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
thf(f7795,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f7794]) ).
thf(f7797,definition,
( spl0_236
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).
thf(f7798,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f7797]) ).
thf(f7801,definition,
( spl0_237
<=> ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).
thf(f7802,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f7801]) ).
thf(f7804,plain,
( spl0_236
| ~ spl0_13
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f7774,f256,f207,f7797]) ).
thf(f7825,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_102
| ~ spl0_236 ),
inference(constrained_superposition,[],[f7798,f2888]) ).
thf(f7826,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_25
| ~ spl0_236 ),
inference(constrained_superposition,[],[f7798,f326]) ).
thf(f7832,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f7826]) ).
thf(f7834,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_102
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f7825]) ).
thf(f7836,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_101
| ~ spl0_102
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f7834,f2696]) ).
thf(f7933,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_81 ),
inference(constrained_superposition,[],[f7335,f1818]) ).
thf(f7940,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) )
| ~ spl0_72
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f7933]) ).
thf(f7947,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_72
| ~ spl0_81
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f7940,f7798]) ).
thf(f7958,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f7086,f175]) ).
thf(f7963,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208 ),
inference(duplicate_literal_removal,[],[f7958]) ).
thf(f7964,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f7963]) ).
thf(f7969,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_89
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f7964,f5082]) ).
thf(f7976,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_89
| ~ spl0_208 ),
inference(constrained_superposition,[],[f7969,f36]) ).
thf(f7977,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_89
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f7976]) ).
thf(f7984,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_29
| ~ spl0_72
| spl0_89
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f7977,f7594]) ).
thf(f7985,plain,
( ~ spl0_50
| ~ spl0_29
| ~ spl0_72
| spl0_89
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f7984,f7085,f1964,f1598,f368,f701]) ).
thf(f8117,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f7016,f174]) ).
thf(f8119,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f7016,f1293]) ).
thf(f8130,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
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_193 ),
inference(duplicate_literal_removal,[],[f8117]) ).
thf(f8131,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f8130]) ).
thf(f8132,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f8119]) ).
thf(f8135,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f8131,f1292]) ).
thf(f8149,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f8135]) ).
thf(f8190,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f7021,f1292]) ).
thf(f8197,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_194 ),
inference(duplicate_literal_removal,[],[f8190]) ).
thf(f8198,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f8197]) ).
thf(f8443,definition,
( spl0_243
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).
thf(f8444,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f8443]) ).
thf(f8447,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f269,f75]) ).
thf(f8449,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f269,f37]) ).
thf(f8450,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f269,f30]) ).
thf(f8452,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f8449]) ).
thf(f8453,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f8450]) ).
thf(f8454,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f8447]) ).
thf(f8459,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_58
| ~ spl0_141 ),
inference(constrained_superposition,[],[f4018,f1546]) ).
thf(f8461,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_10
| ~ spl0_141 ),
inference(constrained_superposition,[],[f4018,f5146]) ).
thf(f8474,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f8461]) ).
thf(f8491,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_58
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f8459]) ).
thf(f8519,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_181 ),
inference(avatar_component_clause,[],[f6941]) ).
thf(f8528,plain,
( ~ spl0_181
| ~ spl0_58
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f8491,f4017,f1545,f6941]) ).
thf(f8531,plain,
( ~ spl0_22
| spl0_183
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f3940,f130,f6953,f271]) ).
thf(f8536,plain,
( ~ spl0_181
| spl0_187
| ~ spl0_10
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f8474,f4017,f130,f6980,f6941]) ).
thf(f8543,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_154
| spl0_192 ),
inference(forward_subsumption_resolution,[],[f7635,f27]) ).
thf(f8548,definition,
( spl0_246
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).
thf(f8549,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_246 ),
inference(avatar_component_clause,[],[f8548]) ).
thf(f8554,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_154
| spl0_192 ),
inference(forward_subsumption_resolution,[],[f8543,f27]) ).
thf(f8556,definition,
( spl0_247
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).
thf(f8557,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f8556]) ).
thf(f8563,plain,
( spl0_181
| ~ spl0_154
| spl0_192 ),
inference(avatar_split_clause,[],[f8554,f7012,f4705,f6941]) ).
thf(f8567,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f6970,f30]) ).
thf(f8568,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f6970,f37]) ).
thf(f8573,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f8568]) ).
thf(f8574,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f8567]) ).
thf(f8617,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f8454,f35]) ).
thf(f8620,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f8617]) ).
thf(f8622,plain,
( spl0_8
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f8620,f268,f123]) ).
thf(f8648,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_2
| spl0_6 ),
inference(constrained_superposition,[],[f2636,f56]) ).
thf(f8656,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_2
| spl0_6 ),
inference(trivial_inequality_removal,[],[f8648]) ).
thf(f8663,plain,
( $false
| ~ spl0_2
| spl0_6
| spl0_181 ),
inference(forward_subsumption_resolution,[],[f8656,f8519]) ).
thf(f8664,plain,
( ~ spl0_2
| spl0_6
| spl0_181 ),
inference(avatar_contradiction_clause,[],[f8663]) ).
thf(f8691,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f8574,f30]) ).
thf(f8692,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f8574,f35]) ).
thf(f8693,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f8692]) ).
thf(f8694,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f8691]) ).
thf(f8695,plain,
( spl0_217
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f8693,f6969,f7132]) ).
thf(f8696,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f6998,f36]) ).
thf(f8697,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f6998,f30]) ).
thf(f8698,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f8696]) ).
thf(f8699,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f8697]) ).
thf(f8700,plain,
( spl0_223
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f8698,f6997,f7158]) ).
thf(f8701,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f8453,f30]) ).
thf(f8703,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f8701]) ).
thf(f8705,plain,
( spl0_246
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f8703,f268,f8548]) ).
thf(f9341,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| spl0_61
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f8132,f7268]) ).
thf(f9350,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f3305,f35]) ).
thf(f9357,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f9350]) ).
thf(f9495,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f8573,f35]) ).
thf(f9497,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f9495]) ).
thf(f9499,plain,
( spl0_221
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f9497,f6969,f7150]) ).
thf(f9501,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f6939,f36]) ).
thf(f9504,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f9501]) ).
thf(f9506,plain,
( spl0_222
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f9504,f6938,f7154]) ).
thf(f9507,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f8452,f35]) ).
thf(f9510,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f9507]) ).
thf(f9512,plain,
( spl0_247
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f9510,f268,f8556]) ).
thf(f9514,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_236 ),
inference(constrained_superposition,[],[f7947,f7151]) ).
thf(f9523,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f9514]) ).
thf(f9528,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f9523,f27]) ).
thf(f9597,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_236 ),
inference(constrained_superposition,[],[f9528,f7151]) ).
thf(f9606,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_236 ),
inference(duplicate_literal_removal,[],[f9597]) ).
thf(f9607,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f9606]) ).
thf(f9628,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_58
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f9607,f1546]) ).
thf(f9640,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ~ spl0_58
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f9628,f27]) ).
thf(f9818,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_161 ),
inference(constrained_superposition,[],[f5624,f175]) ).
thf(f9820,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_161 ),
inference(constrained_superposition,[],[f5624,f36]) ).
thf(f9823,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f9818]) ).
thf(f9826,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f9820]) ).
thf(f9828,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_89
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f9823,f5082]) ).
thf(f9829,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_29
| ~ spl0_72
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f9826,f7594]) ).
thf(f9830,plain,
( spl0_200
| ~ spl0_29
| ~ spl0_72
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f9829,f5623,f1598,f368,f7048]) ).
thf(f9853,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_72
| ~ spl0_81
| ~ spl0_222
| ~ spl0_236 ),
inference(constrained_superposition,[],[f7947,f7155]) ).
thf(f9862,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) )
| ~ spl0_72
| ~ spl0_81
| ~ spl0_222
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f9853]) ).
thf(f9873,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_72
| ~ spl0_81
| ~ spl0_222
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f9862,f27]) ).
thf(f9884,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_89
| ~ spl0_161 ),
inference(constrained_superposition,[],[f9828,f36]) ).
thf(f9889,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_89
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f9884]) ).
thf(f9892,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_29
| ~ spl0_72
| spl0_89
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f9889,f7594]) ).
thf(f9893,plain,
( ~ spl0_50
| ~ spl0_29
| ~ spl0_72
| spl0_89
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f9892,f5623,f1964,f1598,f368,f701]) ).
thf(f10007,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_72
| ~ spl0_81
| ~ spl0_222
| ~ spl0_236 ),
inference(constrained_superposition,[],[f9873,f7155]) ).
thf(f10029,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_72
| ~ spl0_81
| ~ spl0_222
| ~ spl0_236 ),
inference(duplicate_literal_removal,[],[f10007]) ).
thf(f10030,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_72
| ~ spl0_81
| ~ spl0_222
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f10029]) ).
thf(f10045,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_58
| ~ spl0_72
| ~ spl0_81
| ~ spl0_222
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f10030,f1546]) ).
thf(f10055,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_58
| ~ spl0_72
| ~ spl0_81
| ~ spl0_222
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f10045,f27]) ).
thf(f10062,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_58
| ~ spl0_72
| ~ spl0_81
| ~ spl0_222
| ~ spl0_236 ),
inference(constrained_superposition,[],[f29,f10055]) ).
thf(f10063,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_58
| ~ spl0_72
| ~ spl0_81
| ~ spl0_222
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f10062]) ).
thf(f10089,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_58
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_222
| ~ spl0_236 ),
inference(constrained_superposition,[],[f10063,f9640]) ).
thf(f10097,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_58
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_222
| ~ spl0_236 ),
inference(duplicate_literal_removal,[],[f10089]) ).
thf(f10098,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_58
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_222
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f10097]) ).
thf(f10187,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_8
| ~ spl0_29 ),
inference(constrained_superposition,[],[f369,f124]) ).
thf(f10197,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f29,f124]) ).
thf(f10198,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f10197]) ).
thf(f10207,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_8
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f10187]) ).
thf(f10229,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_8
| ~ spl0_221 ),
inference(constrained_superposition,[],[f10198,f7151]) ).
thf(f10275,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_8
| ~ spl0_221 ),
inference(duplicate_literal_removal,[],[f10229]) ).
thf(f10276,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= z ) )
| ~ spl0_8
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f10275]) ).
thf(f10285,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_8
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f10276,f27]) ).
thf(f10525,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f29,f6954]) ).
thf(f10538,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f10525]) ).
thf(f11346,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X1 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ z @ X1 )
= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f7414,f30]) ).
thf(f11347,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ z @ X1 )
= $true )
| ( z = X1 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f11346]) ).
thf(f11876,plain,
( ( ( s @ z )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_62 ),
inference(avatar_component_clause,[],[f1559]) ).
thf(f11900,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_62 ),
inference(extensionality_resolution,[],[f176,f11876]) ).
thf(f11901,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_62 ),
inference(extensionality_resolution,[],[f176,f11876]) ).
thf(f11916,definition,
( spl0_263
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).
thf(f11917,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f11916]) ).
thf(f11919,definition,
( spl0_264
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).
thf(f11920,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f11919]) ).
thf(f11921,plain,
( spl0_263
| spl0_264
| spl0_62 ),
inference(avatar_split_clause,[],[f11901,f1559,f11919,f11916]) ).
thf(f11923,definition,
( spl0_265
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
thf(f11924,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f11923]) ).
thf(f11926,definition,
( spl0_266
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
thf(f11927,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f11926]) ).
thf(f11928,plain,
( spl0_265
| spl0_266
| spl0_62 ),
inference(avatar_split_clause,[],[f11900,f1559,f11926,f11923]) ).
thf(f12015,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_75
| ~ spl0_264 ),
inference(constrained_superposition,[],[f1612,f11920]) ).
thf(f12016,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_80
| ~ spl0_264 ),
inference(constrained_superposition,[],[f1799,f11920]) ).
thf(f12017,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_92
| ~ spl0_264 ),
inference(constrained_superposition,[],[f1976,f11920]) ).
thf(f12020,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_194
| ~ spl0_264 ),
inference(constrained_superposition,[],[f8198,f11920]) ).
thf(f12021,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_61
| ~ spl0_193
| ~ spl0_264 ),
inference(constrained_superposition,[],[f9341,f11920]) ).
thf(f12022,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_193
| ~ spl0_264 ),
inference(constrained_superposition,[],[f8131,f11920]) ).
thf(f12028,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_10
| ~ spl0_264 ),
inference(constrained_superposition,[],[f4580,f11920]) ).
thf(f12031,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12
| ~ spl0_264 ),
inference(constrained_superposition,[],[f1233,f11920]) ).
thf(f12037,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_69
| ~ spl0_264 ),
inference(constrained_superposition,[],[f1588,f11920]) ).
thf(f12042,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_264 ),
inference(constrained_superposition,[],[f7424,f11920]) ).
thf(f12044,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_10
| ~ spl0_264 ),
inference(constrained_superposition,[],[f3920,f11920]) ).
thf(f12060,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_75
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f12015]) ).
thf(f12061,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f12042]) ).
thf(f12065,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_92
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f12017]) ).
thf(f12068,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_194
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f12020]) ).
thf(f12074,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_10
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f12044]) ).
thf(f12076,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_69
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f12037]) ).
thf(f12077,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_80
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f12016]) ).
thf(f12083,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_61
| ~ spl0_193
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f12021]) ).
thf(f12088,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f12031]) ).
thf(f12091,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_193
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f12022]) ).
thf(f12095,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_10
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f12028]) ).
thf(f12105,definition,
( spl0_267
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).
thf(f12106,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_267 ),
inference(avatar_component_clause,[],[f12105]) ).
thf(f12108,definition,
( spl0_268
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).
thf(f12109,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f12108]) ).
thf(f12110,plain,
( ~ spl0_135
| spl0_267
| spl0_268
| ~ spl0_75
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f12060,f11919,f1611,f12108,f12105,f3836]) ).
thf(f12112,definition,
( spl0_269
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
thf(f12113,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_269 ),
inference(avatar_component_clause,[],[f12112]) ).
thf(f12114,plain,
( ~ spl0_269
| spl0_111
| ~ spl0_32
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f12061,f11919,f443,f3292,f12112]) ).
thf(f12116,definition,
( spl0_270
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).
thf(f12117,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f12116]) ).
thf(f12120,definition,
( spl0_271
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
thf(f12121,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f12120]) ).
thf(f12124,definition,
( spl0_272
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
thf(f12125,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f12124]) ).
thf(f12126,plain,
( spl0_272
| spl0_267
| ~ spl0_92
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f12065,f11919,f1975,f12105,f12124]) ).
thf(f12128,definition,
( spl0_273
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_273])],[avatar_definition]) ).
thf(f12129,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_273 ),
inference(avatar_component_clause,[],[f12128]) ).
thf(f12132,definition,
( spl0_274
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
thf(f12133,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f12132]) ).
thf(f12135,definition,
( spl0_275
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
thf(f12136,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f12135]) ).
thf(f12139,definition,
( spl0_276
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
thf(f12140,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_276 ),
inference(avatar_component_clause,[],[f12139]) ).
thf(f12141,plain,
( ~ spl0_120
| spl0_267
| ~ spl0_276
| ~ spl0_194
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f12068,f11919,f7020,f12139,f12105,f3341]) ).
thf(f12143,definition,
( spl0_277
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).
thf(f12144,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f12143]) ).
thf(f12147,definition,
( spl0_278
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
thf(f12148,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f12147]) ).
thf(f12150,definition,
( spl0_279
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).
thf(f12151,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f12150]) ).
thf(f12156,definition,
( spl0_280
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_280])],[avatar_definition]) ).
thf(f12157,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_280 ),
inference(avatar_component_clause,[],[f12156]) ).
thf(f12158,plain,
( spl0_145
| ~ spl0_280
| ~ spl0_10
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f12074,f11919,f130,f12156,f4212]) ).
thf(f12159,plain,
( spl0_273
| spl0_275
| ~ spl0_69
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f12076,f11919,f1587,f12135,f12128]) ).
thf(f12161,definition,
( spl0_281
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_281])],[avatar_definition]) ).
thf(f12162,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_281 ),
inference(avatar_component_clause,[],[f12161]) ).
thf(f12163,plain,
( spl0_267
| ~ spl0_281
| ~ spl0_80
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f12077,f11919,f1798,f12161,f12105]) ).
thf(f12165,definition,
( spl0_282
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_282])],[avatar_definition]) ).
thf(f12166,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_282 ),
inference(avatar_component_clause,[],[f12165]) ).
thf(f12170,definition,
( spl0_283
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).
thf(f12171,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_283 ),
inference(avatar_component_clause,[],[f12170]) ).
thf(f12172,plain,
( ~ spl0_120
| ~ spl0_276
| spl0_283
| spl0_61
| ~ spl0_193
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f12083,f11919,f7015,f1555,f12170,f12139,f3341]) ).
thf(f12174,definition,
( spl0_284
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).
thf(f12175,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f12174]) ).
thf(f12177,definition,
( spl0_285
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
thf(f12178,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_285 ),
inference(avatar_component_clause,[],[f12177]) ).
thf(f12181,definition,
( spl0_286
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).
thf(f12182,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f12181]) ).
thf(f12187,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f12088,f27]) ).
thf(f12189,definition,
( spl0_288
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).
thf(f12190,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f12189]) ).
thf(f12191,plain,
( spl0_288
| ~ spl0_120
| ~ spl0_285
| ~ spl0_193
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f12091,f11919,f7015,f12177,f3341,f12189]) ).
thf(f12193,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f12095,f27]) ).
thf(f12195,definition,
( spl0_289
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).
thf(f12196,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f12195]) ).
thf(f12199,definition,
( spl0_290
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).
thf(f12200,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f12199]) ).
thf(f12205,definition,
( spl0_291
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).
thf(f12206,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f12205]) ).
thf(f12209,definition,
( spl0_292
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
thf(f12210,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f12209]) ).
thf(f12214,definition,
( spl0_293
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).
thf(f12215,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f12214]) ).
thf(f12218,plain,
( spl0_136
| ~ spl0_135
| spl0_293
| spl0_290
| ~ spl0_12
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f12187,f11919,f163,f12199,f12214,f3836,f3840]) ).
thf(f12219,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_10
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f12193,f27]) ).
thf(f12221,plain,
( spl0_278
| spl0_145
| ~ spl0_10
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f12219,f11919,f130,f4212,f12147]) ).
thf(f12339,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f175,f12200]) ).
thf(f12668,definition,
( spl0_294
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
thf(f12669,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f12668]) ).
thf(f12688,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f12339,f31]) ).
thf(f12764,plain,
( $false
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f12688,f26]) ).
thf(f12765,plain,
~ spl0_290,
inference(avatar_contradiction_clause,[],[f12764]) ).
thf(f12795,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_147 ),
inference(constrained_superposition,[],[f4223,f37]) ).
thf(f12798,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_147 ),
inference(trivial_inequality_removal,[],[f12795]) ).
thf(f12802,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_62
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f12798,f11876]) ).
thf(f12805,definition,
( spl0_295
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).
thf(f12806,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_295 ),
inference(avatar_component_clause,[],[f12805]) ).
thf(f12808,plain,
( spl0_111
| spl0_62
| spl0_147 ),
inference(avatar_split_clause,[],[f12802,f4222,f1559,f3292]) ).
thf(f12853,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_150
| ~ spl0_275 ),
inference(constrained_superposition,[],[f4252,f12136]) ).
thf(f12854,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_68
| ~ spl0_275 ),
inference(constrained_superposition,[],[f7642,f12136]) ).
thf(f12872,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_68
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f12854]) ).
thf(f12877,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_150
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f12853]) ).
thf(f12887,definition,
( spl0_296
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).
thf(f12888,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f12887]) ).
thf(f12901,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_25
| ~ spl0_236
| ~ spl0_278 ),
inference(constrained_superposition,[],[f7832,f12148]) ).
thf(f12918,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_236
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f12901]) ).
thf(f12922,plain,
( spl0_293
| ~ spl0_25
| ~ spl0_236
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f12918,f12147,f7797,f325,f12214]) ).
thf(f12923,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_280 ),
inference(constrained_superposition,[],[f12157,f74]) ).
thf(f12925,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_280 ),
inference(constrained_superposition,[],[f12157,f30]) ).
thf(f12926,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_280 ),
inference(trivial_inequality_removal,[],[f12925]) ).
thf(f12927,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_280 ),
inference(trivial_inequality_removal,[],[f12923]) ).
thf(f12980,plain,
( spl0_292
| spl0_278
| spl0_280 ),
inference(avatar_split_clause,[],[f12926,f12156,f12147,f12209]) ).
thf(f12982,plain,
( spl0_278
| spl0_280 ),
inference(avatar_split_clause,[],[f12927,f12156,f12147]) ).
thf(f12992,definition,
( spl0_297
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_297])],[avatar_definition]) ).
thf(f12993,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f12992]) ).
thf(f12997,definition,
( spl0_298
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
thf(f12998,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f12997]) ).
thf(f13009,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_236
| ~ spl0_288 ),
inference(constrained_superposition,[],[f7798,f12190]) ).
thf(f13020,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_236
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f13009]) ).
thf(f13027,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_215
| ~ spl0_236
| ~ spl0_288 ),
inference(constrained_superposition,[],[f13020,f7118]) ).
thf(f13040,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_221
| ~ spl0_236
| ~ spl0_288 ),
inference(constrained_superposition,[],[f13020,f7151]) ).
thf(f13044,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_186
| ~ spl0_236
| ~ spl0_288 ),
inference(constrained_superposition,[],[f13020,f8694]) ).
thf(f13046,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_186
| ~ spl0_236
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f13044]) ).
thf(f13062,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_221
| ~ spl0_236
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f13040]) ).
thf(f13063,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_215
| ~ spl0_236
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f13027]) ).
thf(f13122,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_58
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_222
| ~ spl0_236
| ~ spl0_263 ),
inference(constrained_superposition,[],[f10098,f11917]) ).
thf(f13124,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_81
| ~ spl0_263 ),
inference(constrained_superposition,[],[f5182,f11917]) ).
thf(f13138,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_58
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_222
| ~ spl0_236
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f13122]) ).
thf(f13147,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_81
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f13124]) ).
thf(f13149,plain,
( $false
| ~ spl0_58
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_222
| ~ spl0_236
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f13138,f9640]) ).
thf(f13150,plain,
( ~ spl0_58
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_222
| ~ spl0_236
| ~ spl0_263 ),
inference(avatar_contradiction_clause,[],[f13149]) ).
thf(f13154,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_81
| ~ spl0_263
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f13147,f12106]) ).
thf(f13156,definition,
( spl0_301
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).
thf(f13157,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_301 ),
inference(avatar_component_clause,[],[f13156]) ).
thf(f13161,definition,
( spl0_302
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).
thf(f13162,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_302 ),
inference(avatar_component_clause,[],[f13161]) ).
thf(f13163,plain,
( spl0_111
| spl0_302
| ~ spl0_81
| ~ spl0_263
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f13154,f12105,f11916,f1817,f13161,f3292]) ).
thf(f13164,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_120 ),
inference(constrained_superposition,[],[f3342,f35]) ).
thf(f13166,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_120 ),
inference(trivial_inequality_removal,[],[f13164]) ).
thf(f13281,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f74,f12210]) ).
thf(f13634,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f13281,f31]) ).
thf(f13712,plain,
( $false
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f13634,f26]) ).
thf(f13713,plain,
~ spl0_292,
inference(avatar_contradiction_clause,[],[f13712]) ).
thf(f13759,definition,
( spl0_303
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).
thf(f13760,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_303 ),
inference(avatar_component_clause,[],[f13759]) ).
thf(f13762,definition,
( spl0_304
<=> ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).
thf(f13763,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f13762]) ).
thf(f13765,plain,
( ~ spl0_119
| ~ spl0_82
| spl0_81
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f8149,f7015,f1817,f1820,f3330]) ).
thf(f13768,definition,
( spl0_305
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
thf(f13769,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f13768]) ).
thf(f13773,definition,
( spl0_306
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).
thf(f13774,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f13773]) ).
thf(f13775,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_145 ),
inference(avatar_component_clause,[],[f4212]) ).
thf(f13780,definition,
( spl0_307
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).
thf(f13781,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f13780]) ).
thf(f13787,definition,
( spl0_308
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).
thf(f13788,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_308 ),
inference(avatar_component_clause,[],[f13787]) ).
thf(f13790,definition,
( spl0_309
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).
thf(f13791,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_309 ),
inference(avatar_component_clause,[],[f13790]) ).
thf(f13797,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_186
| ~ spl0_236
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f13046,f27]) ).
thf(f13798,plain,
( ~ spl0_309
| spl0_308
| ~ spl0_68
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f12872,f12135,f1584,f13787,f13790]) ).
thf(f13801,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_221
| ~ spl0_236
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f13062,f27]) ).
thf(f13802,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f13759]) ).
thf(f13806,definition,
( spl0_311
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).
thf(f13807,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f13806]) ).
thf(f13808,plain,
( spl0_311
| ~ spl0_145
| ~ spl0_150
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f12877,f12135,f4251,f4212,f13806]) ).
thf(f13813,plain,
( spl0_303
| spl0_292
| ~ spl0_186
| ~ spl0_236
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f13797,f12189,f7797,f6969,f12209,f13759]) ).
thf(f13815,plain,
( spl0_303
| ~ spl0_221
| ~ spl0_236
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f13801,f12189,f7797,f7150,f13759]) ).
thf(f13822,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| spl0_120 ),
inference(constrained_superposition,[],[f29,f13166]) ).
thf(f13823,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl0_120 ),
inference(trivial_inequality_removal,[],[f13822]) ).
thf(f13826,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_61
| ~ spl0_143 ),
inference(constrained_superposition,[],[f4025,f1556]) ).
thf(f13830,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_61
| ~ spl0_236 ),
inference(constrained_superposition,[],[f7798,f1556]) ).
thf(f13836,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_61
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f13826]) ).
thf(f13837,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_61
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f13830]) ).
thf(f13844,plain,
( $false
| ~ spl0_20
| ~ spl0_61
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f13836,f257]) ).
thf(f13845,plain,
( ~ spl0_20
| ~ spl0_61
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f13844]) ).
thf(f13846,plain,
( $false
| ~ spl0_58
| ~ spl0_61
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f13837,f1546]) ).
thf(f13847,plain,
( ~ spl0_58
| ~ spl0_61
| ~ spl0_236 ),
inference(avatar_contradiction_clause,[],[f13846]) ).
thf(f13862,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_135 ),
inference(constrained_superposition,[],[f3837,f74]) ).
thf(f13865,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_135 ),
inference(trivial_inequality_removal,[],[f13862]) ).
thf(f13868,plain,
( spl0_145
| spl0_135 ),
inference(avatar_split_clause,[],[f13865,f3836,f4212]) ).
thf(f13876,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_145 ),
inference(constrained_superposition,[],[f29,f4213]) ).
thf(f13878,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f13876]) ).
thf(f13884,plain,
( spl0_152
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f13878,f4212,f4270]) ).
thf(f13886,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_145
| ~ spl0_215 ),
inference(constrained_superposition,[],[f13775,f7118]) ).
thf(f13887,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_145
| ~ spl0_183 ),
inference(constrained_superposition,[],[f13775,f6954]) ).
thf(f13898,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_145
| ~ spl0_217 ),
inference(constrained_superposition,[],[f13775,f7133]) ).
thf(f13899,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_145
| ~ spl0_221 ),
inference(constrained_superposition,[],[f13775,f7151]) ).
thf(f13900,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_145
| ~ spl0_222 ),
inference(constrained_superposition,[],[f13775,f7155]) ).
thf(f13901,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_145
| ~ spl0_223 ),
inference(constrained_superposition,[],[f13775,f7159]) ).
thf(f13902,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_145
| ~ spl0_190 ),
inference(constrained_superposition,[],[f13775,f8699]) ).
thf(f13903,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_145
| ~ spl0_186 ),
inference(constrained_superposition,[],[f13775,f8694]) ).
thf(f13907,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_145
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f13898]) ).
thf(f13909,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_145
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f13903]) ).
thf(f13911,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_145
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f13901]) ).
thf(f13913,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_145
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f13886]) ).
thf(f13916,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_145
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f13887]) ).
thf(f13917,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_145
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f13902]) ).
thf(f13919,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_145
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f13900]) ).
thf(f13921,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_145
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f13899]) ).
thf(f13932,definition,
( spl0_313
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_313])],[avatar_definition]) ).
thf(f13933,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f13932]) ).
thf(f13934,plain,
( spl0_290
| spl0_313
| spl0_145
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f13911,f7158,f4212,f13932,f12199]) ).
thf(f13936,plain,
( spl0_313
| spl0_145
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f13916,f6953,f4212,f13932]) ).
thf(f13937,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_145
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f13917,f27]) ).
thf(f13942,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_145
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f13919,f27]) ).
thf(f13946,plain,
( spl0_290
| spl0_313
| spl0_145
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f13937,f6997,f4212,f13932,f12199]) ).
thf(f13947,plain,
( spl0_313
| spl0_145
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f13942,f7154,f4212,f13932]) ).
thf(f13948,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_29
| ~ spl0_313 ),
inference(constrained_superposition,[],[f10207,f13933]) ).
thf(f13957,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_313 ),
inference(constrained_superposition,[],[f29,f13933]) ).
thf(f13960,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f13957]) ).
thf(f13963,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_29
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f13948]) ).
thf(f13973,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_285 ),
inference(constrained_superposition,[],[f12178,f37]) ).
thf(f13978,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_285 ),
inference(trivial_inequality_removal,[],[f13973]) ).
thf(f13982,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_62
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f13978,f11876]) ).
thf(f13983,plain,
( spl0_148
| spl0_62
| spl0_285 ),
inference(avatar_split_clause,[],[f13982,f12177,f1559,f4233]) ).
thf(f13996,plain,
( spl0_303
| ~ spl0_215
| ~ spl0_236
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f13063,f12189,f7797,f7117,f13759]) ).
thf(f13997,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_29
| ~ spl0_307 ),
inference(constrained_superposition,[],[f10207,f13781]) ).
thf(f14008,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_29
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f13997]) ).
thf(f14013,plain,
( spl0_303
| ~ spl0_8
| ~ spl0_29
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f14008,f13780,f368,f123,f13759]) ).
thf(f14023,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_308 ),
inference(constrained_superposition,[],[f13788,f326]) ).
thf(f14065,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f14023]) ).
thf(f14130,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_263
| ~ spl0_304 ),
inference(constrained_superposition,[],[f13763,f11917]) ).
thf(f14132,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_263 ),
inference(constrained_superposition,[],[f4665,f11917]) ).
thf(f14134,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_263 ),
inference(constrained_superposition,[],[f29,f11917]) ).
thf(f14136,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_25
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f14132]) ).
thf(f14137,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f14134]) ).
thf(f14138,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f14130]) ).
thf(f14141,plain,
( $false
| ~ spl0_263
| ~ spl0_304
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f14138,f13933]) ).
thf(f14142,plain,
( ~ spl0_263
| ~ spl0_304
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f14141]) ).
thf(f14144,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_288 ),
inference(avatar_component_clause,[],[f12189]) ).
thf(f14145,plain,
( spl0_301
| spl0_136
| ~ spl0_288
| ~ spl0_25
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f14136,f11916,f325,f12189,f3840,f13156]) ).
thf(f14146,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_278 ),
inference(avatar_component_clause,[],[f12147]) ).
thf(f14148,definition,
( spl0_315
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).
thf(f14149,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f14148]) ).
thf(f14155,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_215
| spl0_278 ),
inference(constrained_superposition,[],[f14146,f7118]) ).
thf(f14156,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_183
| spl0_278 ),
inference(constrained_superposition,[],[f14146,f6954]) ).
thf(f14167,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_217
| spl0_278 ),
inference(constrained_superposition,[],[f14146,f7133]) ).
thf(f14168,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_221
| spl0_278 ),
inference(constrained_superposition,[],[f14146,f7151]) ).
thf(f14170,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_223
| spl0_278 ),
inference(constrained_superposition,[],[f14146,f7159]) ).
thf(f14172,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_186
| spl0_278 ),
inference(constrained_superposition,[],[f14146,f8694]) ).
thf(f14177,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_221
| spl0_278 ),
inference(trivial_inequality_removal,[],[f14168]) ).
thf(f14178,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_186
| spl0_278 ),
inference(trivial_inequality_removal,[],[f14172]) ).
thf(f14182,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_215
| spl0_278 ),
inference(trivial_inequality_removal,[],[f14155]) ).
thf(f14189,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_183
| spl0_278 ),
inference(trivial_inequality_removal,[],[f14156]) ).
thf(f14190,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_217
| spl0_278 ),
inference(trivial_inequality_removal,[],[f14167]) ).
thf(f14191,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_223
| spl0_278 ),
inference(trivial_inequality_removal,[],[f14170]) ).
thf(f14197,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_186
| spl0_278 ),
inference(forward_subsumption_resolution,[],[f14178,f27]) ).
thf(f14208,plain,
( spl0_307
| ~ spl0_183
| spl0_278 ),
inference(avatar_split_clause,[],[f14189,f12147,f6953,f13780]) ).
thf(f14210,plain,
( spl0_307
| spl0_292
| ~ spl0_223
| spl0_278 ),
inference(avatar_split_clause,[],[f14191,f12147,f7158,f12209,f13780]) ).
thf(f14218,plain,
( spl0_303
| ~ spl0_215
| spl0_278 ),
inference(avatar_split_clause,[],[f14182,f12147,f7117,f13759]) ).
thf(f14219,plain,
( spl0_303
| spl0_292
| ~ spl0_186
| spl0_278 ),
inference(avatar_split_clause,[],[f14197,f12147,f6969,f12209,f13759]) ).
thf(f14220,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_221
| spl0_278 ),
inference(forward_subsumption_resolution,[],[f14177,f27]) ).
thf(f14221,plain,
( spl0_292
| spl0_303
| ~ spl0_217
| spl0_278 ),
inference(avatar_split_clause,[],[f14190,f12147,f7132,f13759,f12209]) ).
thf(f14222,plain,
( spl0_303
| ~ spl0_221
| spl0_278 ),
inference(avatar_split_clause,[],[f14220,f12147,f7150,f13759]) ).
thf(f14246,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_293 ),
inference(constrained_superposition,[],[f369,f12215]) ).
thf(f14248,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f29,f12215]) ).
thf(f14249,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f14248]) ).
thf(f14250,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f14246]) ).
thf(f14252,plain,
( $false
| ~ spl0_29
| ~ spl0_293
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f14250,f13781]) ).
thf(f14253,plain,
( ~ spl0_29
| ~ spl0_293
| ~ spl0_307 ),
inference(avatar_contradiction_clause,[],[f14252]) ).
thf(f14256,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_278 ),
inference(constrained_superposition,[],[f29,f12148]) ).
thf(f14258,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f14256]) ).
thf(f14261,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_25
| spl0_288 ),
inference(constrained_superposition,[],[f14144,f326]) ).
thf(f14264,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_25
| spl0_288 ),
inference(trivial_inequality_removal,[],[f14261]) ).
thf(f14271,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_266 ),
inference(constrained_superposition,[],[f29,f11927]) ).
thf(f14276,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f14271]) ).
thf(f14297,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_263
| ~ spl0_301 ),
inference(constrained_superposition,[],[f13157,f11917]) ).
thf(f14301,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_278
| ~ spl0_301 ),
inference(constrained_superposition,[],[f13157,f12148]) ).
thf(f14323,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_301
| ~ spl0_303 ),
inference(constrained_superposition,[],[f13157,f13802]) ).
thf(f14337,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_301
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f14323]) ).
thf(f14346,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f14297]) ).
thf(f14348,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_278
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f14301]) ).
thf(f14360,plain,
( $false
| ~ spl0_17
| ~ spl0_301
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f14337,f223]) ).
thf(f14361,plain,
( ~ spl0_17
| ~ spl0_301
| ~ spl0_303 ),
inference(avatar_contradiction_clause,[],[f14360]) ).
thf(f14368,plain,
( $false
| ~ spl0_148
| ~ spl0_263
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f14346,f4234]) ).
thf(f14369,plain,
( ~ spl0_148
| ~ spl0_263
| ~ spl0_301 ),
inference(avatar_contradiction_clause,[],[f14368]) ).
thf(f14371,plain,
( $false
| ~ spl0_13
| ~ spl0_278
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f14348,f208]) ).
thf(f14372,plain,
( ~ spl0_13
| ~ spl0_278
| ~ spl0_301 ),
inference(avatar_contradiction_clause,[],[f14371]) ).
thf(f14396,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true ) )
| spl0_120
| ~ spl0_263 ),
inference(constrained_superposition,[],[f13823,f11917]) ).
thf(f14397,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| spl0_120
| ~ spl0_148 ),
inference(constrained_superposition,[],[f13823,f4234]) ).
thf(f14408,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| spl0_120
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f14396]) ).
thf(f14409,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| spl0_120
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f14397]) ).
thf(f14422,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| spl0_120
| ~ spl0_263
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f14408,f13802]) ).
thf(f14423,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_17
| spl0_120
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f14409,f223]) ).
thf(f14424,plain,
( spl0_304
| spl0_120
| ~ spl0_263
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f14422,f13759,f11916,f3341,f13762]) ).
thf(f14425,plain,
( spl0_95
| ~ spl0_17
| spl0_120
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f14423,f4233,f3341,f222,f2306]) ).
thf(f14427,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f13790]) ).
thf(f14428,plain,
( spl0_309
| spl0_290
| spl0_145
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f13907,f7132,f4212,f12199,f13790]) ).
thf(f14431,plain,
( spl0_309
| spl0_145
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f13913,f7117,f4212,f13790]) ).
thf(f14432,plain,
( spl0_309
| ~ spl0_8
| ~ spl0_29
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f13963,f13932,f368,f123,f13790]) ).
thf(f14435,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_145
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f13921,f27]) ).
thf(f14436,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_145
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f13909,f27]) ).
thf(f14441,plain,
( spl0_309
| spl0_145
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f14435,f7150,f4212,f13790]) ).
thf(f14442,plain,
( spl0_290
| spl0_309
| spl0_145
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f14436,f6969,f4212,f13790,f12199]) ).
thf(f14556,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_155
| ~ spl0_309 ),
inference(constrained_superposition,[],[f4965,f14427]) ).
thf(f14576,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_155
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f14556]) ).
thf(f14598,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_155
| ~ spl0_309 ),
inference(forward_subsumption_resolution,[],[f14576,f223]) ).
thf(f14602,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_284 ),
inference(avatar_component_clause,[],[f12174]) ).
thf(f14613,plain,
( spl0_136
| ~ spl0_17
| ~ spl0_155
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f14598,f13790,f4964,f222,f3840]) ).
thf(f14620,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_266
| ~ spl0_278 ),
inference(constrained_superposition,[],[f14258,f11927]) ).
thf(f14650,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_266
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f14620]) ).
thf(f14654,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_25
| ~ spl0_313 ),
inference(constrained_superposition,[],[f13960,f326]) ).
thf(f14677,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_309
| ~ spl0_313 ),
inference(constrained_superposition,[],[f13960,f14427]) ).
thf(f14679,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_25
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f14654]) ).
thf(f14683,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_309
| ~ spl0_313 ),
inference(duplicate_literal_removal,[],[f14677]) ).
thf(f14684,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_309
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f14683]) ).
thf(f14709,definition,
( spl0_316
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_316])],[avatar_definition]) ).
thf(f14710,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f14709]) ).
thf(f14711,plain,
( spl0_136
| spl0_316
| ~ spl0_25
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f14679,f13932,f325,f14709,f3840]) ).
thf(f14716,definition,
( spl0_318
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_318])],[avatar_definition]) ).
thf(f14717,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f14716]) ).
thf(f14744,definition,
( spl0_322
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).
thf(f14745,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f14744]) ).
thf(f14747,definition,
( spl0_323
<=> ! [X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_323])],[avatar_definition]) ).
thf(f14748,plain,
( ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ X1 @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 )
| ( z = X1 ) )
| ~ spl0_323 ),
inference(avatar_component_clause,[],[f14747]) ).
thf(f14751,plain,
( spl0_322
| ~ spl0_309
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f14684,f13932,f13790,f14744]) ).
thf(f14753,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_263
| ~ spl0_322 ),
inference(constrained_superposition,[],[f14745,f11917]) ).
thf(f14770,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_263
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f14753]) ).
thf(f14780,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_183
| ~ spl0_263 ),
inference(constrained_superposition,[],[f10538,f11917]) ).
thf(f14803,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_183
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f14780]) ).
thf(f14910,definition,
( spl0_325
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).
thf(f14911,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f14910]) ).
thf(f14914,definition,
( spl0_326
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).
thf(f14915,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_326 ),
inference(avatar_component_clause,[],[f14914]) ).
thf(f14917,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_143
| ~ spl0_283 ),
inference(constrained_superposition,[],[f4025,f12171]) ).
thf(f14923,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_221
| ~ spl0_283 ),
inference(constrained_superposition,[],[f10285,f12171]) ).
thf(f14925,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_143
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f14917]) ).
thf(f14927,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_221
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f14923]) ).
thf(f14933,plain,
( $false
| ~ spl0_143
| ~ spl0_283
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f14925,f12215]) ).
thf(f14934,plain,
( ~ spl0_143
| ~ spl0_283
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f14933]) ).
thf(f14935,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_221
| ~ spl0_283
| spl0_303 ),
inference(forward_subsumption_resolution,[],[f14927,f13760]) ).
thf(f14936,plain,
( $false
| ~ spl0_8
| ~ spl0_58
| ~ spl0_221
| ~ spl0_283
| spl0_303 ),
inference(forward_subsumption_resolution,[],[f14935,f1546]) ).
thf(f14937,plain,
( ~ spl0_8
| ~ spl0_58
| ~ spl0_221
| ~ spl0_283
| spl0_303 ),
inference(avatar_contradiction_clause,[],[f14936]) ).
thf(f14954,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_44
| ~ spl0_284 ),
inference(constrained_superposition,[],[f567,f12175]) ).
thf(f14967,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_44
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f14954]) ).
thf(f14972,plain,
( $false
| ~ spl0_44
| ~ spl0_284
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f14967,f12215]) ).
thf(f14973,plain,
( ~ spl0_44
| ~ spl0_284
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f14972]) ).
thf(f14984,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_326 ),
inference(constrained_superposition,[],[f14915,f36]) ).
thf(f14989,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f14984]) ).
thf(f14992,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29
| ~ spl0_293
| ~ spl0_326 ),
inference(forward_subsumption_resolution,[],[f14989,f14250]) ).
thf(f14993,plain,
( ~ spl0_84
| ~ spl0_22
| ~ spl0_29
| ~ spl0_293
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f14992,f14914,f12214,f368,f271,f1828]) ).
thf(f14998,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f12196,f35]) ).
thf(f15007,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f14998]) ).
thf(f15008,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_289
| spl0_303 ),
inference(forward_subsumption_resolution,[],[f15007,f13760]) ).
thf(f15010,definition,
( spl0_327
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).
thf(f15011,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_327 ),
inference(avatar_component_clause,[],[f15010]) ).
thf(f15012,plain,
( spl0_327
| ~ spl0_22
| ~ spl0_289
| spl0_303 ),
inference(avatar_split_clause,[],[f15008,f13759,f12195,f271,f15010]) ).
thf(f15017,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_278
| ~ spl0_293 ),
inference(constrained_superposition,[],[f14249,f12148]) ).
thf(f15070,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_278
| ~ spl0_293 ),
inference(duplicate_literal_removal,[],[f15017]) ).
thf(f15071,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_278
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f15070]) ).
thf(f15088,definition,
( spl0_328
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).
thf(f15089,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f15088]) ).
thf(f15106,plain,
( spl0_328
| ~ spl0_278
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f15071,f12214,f12147,f15088]) ).
thf(f15114,definition,
( spl0_331
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
thf(f15115,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f15114]) ).
thf(f15342,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f12121,f1293]) ).
thf(f15353,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f15342]) ).
thf(f15357,definition,
( spl0_335
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).
thf(f15358,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_335 ),
inference(avatar_component_clause,[],[f15357]) ).
thf(f15359,plain,
( spl0_283
| spl0_335
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f15353,f12120,f15357,f12170]) ).
thf(f15364,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_282 ),
inference(constrained_superposition,[],[f12166,f35]) ).
thf(f15371,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f15364]) ).
thf(f15374,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_282
| spl0_303 ),
inference(forward_subsumption_resolution,[],[f15371,f13760]) ).
thf(f15376,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_282
| spl0_303 ),
inference(constrained_superposition,[],[f15374,f1292]) ).
thf(f15388,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_282
| spl0_303 ),
inference(trivial_inequality_removal,[],[f15376]) ).
thf(f15390,plain,
( ~ spl0_94
| spl0_267
| ~ spl0_84
| ~ spl0_282
| spl0_303 ),
inference(avatar_split_clause,[],[f15388,f13759,f12165,f1828,f12105,f2092]) ).
thf(f15396,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_150
| ~ spl0_267 ),
inference(constrained_superposition,[],[f4252,f12106]) ).
thf(f15403,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_150
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f15396]) ).
thf(f15415,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_150
| ~ spl0_267
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f15403,f12148]) ).
thf(f15421,plain,
( spl0_315
| ~ spl0_150
| ~ spl0_267
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f15415,f12147,f12105,f4251,f14148]) ).
thf(f15509,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_278
| ~ spl0_302 ),
inference(constrained_superposition,[],[f13162,f12148]) ).
thf(f15550,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_278
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f15509]) ).
thf(f15573,plain,
( $false
| ~ spl0_58
| ~ spl0_278
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f15550,f1546]) ).
thf(f15574,plain,
( ~ spl0_58
| ~ spl0_278
| ~ spl0_302 ),
inference(avatar_contradiction_clause,[],[f15573]) ).
thf(f15618,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_263
| ~ spl0_293 ),
inference(constrained_superposition,[],[f14137,f12215]) ).
thf(f15620,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_8
| ~ spl0_263 ),
inference(constrained_superposition,[],[f14137,f124]) ).
thf(f15624,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_246
| ~ spl0_263 ),
inference(constrained_superposition,[],[f14137,f8549]) ).
thf(f15628,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_8
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f15620]) ).
thf(f15629,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_246
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f15624]) ).
thf(f15630,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_263
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f15618]) ).
thf(f15642,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_246
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f15629,f27]) ).
thf(f15643,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_136 ),
inference(avatar_component_clause,[],[f3840]) ).
thf(f15644,plain,
( ~ spl0_136
| spl0_311
| ~ spl0_263
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f15630,f12214,f11916,f13806,f3840]) ).
thf(f15729,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_266 ),
inference(constrained_superposition,[],[f14276,f11917]) ).
thf(f15773,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_263
| ~ spl0_266 ),
inference(duplicate_literal_removal,[],[f15729]) ).
thf(f15774,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f15773]) ).
thf(f15787,definition,
( spl0_338
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_338])],[avatar_definition]) ).
thf(f15788,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_338 ),
inference(avatar_component_clause,[],[f15787]) ).
thf(f15790,definition,
( spl0_339
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).
thf(f15791,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f15790]) ).
thf(f15795,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_263
| ~ spl0_266
| ~ spl0_293 ),
inference(constrained_superposition,[],[f15774,f12215]) ).
thf(f15797,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_263
| ~ spl0_266 ),
inference(constrained_superposition,[],[f15774,f124]) ).
thf(f15810,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_266
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f15795]) ).
thf(f15811,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_263
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f15797]) ).
thf(f15904,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_339 ),
inference(constrained_superposition,[],[f1293,f15791]) ).
thf(f16185,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_339 ),
inference(forward_subsumption_resolution,[],[f15904,f31]) ).
thf(f16202,plain,
( $false
| ~ spl0_339 ),
inference(forward_subsumption_resolution,[],[f16185,f26]) ).
thf(f16203,plain,
~ spl0_339,
inference(avatar_contradiction_clause,[],[f16202]) ).
thf(f16277,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_34
| spl0_284 ),
inference(constrained_superposition,[],[f14602,f451]) ).
thf(f16278,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_34
| ~ spl0_44 ),
inference(constrained_superposition,[],[f567,f451]) ).
thf(f16289,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_263
| ~ spl0_266 ),
inference(constrained_superposition,[],[f15774,f451]) ).
thf(f16290,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_34
| ~ spl0_263 ),
inference(constrained_superposition,[],[f14137,f451]) ).
thf(f16291,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_328 ),
inference(constrained_superposition,[],[f15089,f451]) ).
thf(f16294,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_8
| ~ spl0_34
| ~ spl0_221 ),
inference(constrained_superposition,[],[f10285,f451]) ).
thf(f16298,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_34
| spl0_284 ),
inference(trivial_inequality_removal,[],[f16277]) ).
thf(f16301,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_34
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f16290]) ).
thf(f16303,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_34
| ~ spl0_263
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f16289]) ).
thf(f16306,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f16291]) ).
thf(f16307,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_8
| ~ spl0_34
| ~ spl0_221 ),
inference(duplicate_literal_removal,[],[f16294]) ).
thf(f16308,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_8
| ~ spl0_34
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f16307]) ).
thf(f16313,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_34
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f16278]) ).
thf(f16319,plain,
( $false
| ~ spl0_34
| spl0_284
| spl0_303 ),
inference(forward_subsumption_resolution,[],[f16298,f13760]) ).
thf(f16320,plain,
( ~ spl0_34
| spl0_284
| spl0_303 ),
inference(avatar_contradiction_clause,[],[f16319]) ).
thf(f16321,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_34
| ~ spl0_263
| spl0_303 ),
inference(forward_subsumption_resolution,[],[f16301,f13760]) ).
thf(f16322,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_34
| ~ spl0_263
| ~ spl0_266
| spl0_303 ),
inference(forward_subsumption_resolution,[],[f16303,f13760]) ).
thf(f16323,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_13
| ~ spl0_34
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f16306,f208]) ).
thf(f16324,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_13
| ~ spl0_34
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f16308,f208]) ).
thf(f16325,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_34
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f16313,f124]) ).
thf(f16327,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(avatar_component_clause,[],[f4233]) ).
thf(f16329,definition,
( spl0_343
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).
thf(f16330,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_343 ),
inference(avatar_component_clause,[],[f16329]) ).
thf(f16331,plain,
( ~ spl0_148
| spl0_343
| ~ spl0_34
| ~ spl0_263
| spl0_303 ),
inference(avatar_split_clause,[],[f16321,f13759,f11916,f450,f16329,f4233]) ).
thf(f16332,plain,
( ~ spl0_148
| ~ spl0_34
| ~ spl0_263
| ~ spl0_266
| spl0_303 ),
inference(avatar_split_clause,[],[f16322,f13759,f11926,f11916,f450,f4233]) ).
thf(f16333,plain,
( $false
| ~ spl0_13
| ~ spl0_34
| spl0_303
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f16323,f13760]) ).
thf(f16334,plain,
( ~ spl0_13
| ~ spl0_34
| spl0_303
| ~ spl0_328 ),
inference(avatar_contradiction_clause,[],[f16333]) ).
thf(f16335,plain,
( spl0_46
| ~ spl0_8
| ~ spl0_13
| ~ spl0_34
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f16324,f7150,f450,f207,f123,f575]) ).
thf(f16336,plain,
( spl0_46
| ~ spl0_8
| ~ spl0_34
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f16325,f566,f450,f123,f575]) ).
thf(f16339,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f7035,f30]) ).
thf(f16345,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f16339]) ).
thf(f16353,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f16345,f30]) ).
thf(f16355,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f16353]) ).
thf(f16357,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_197
| ~ spl0_236 ),
inference(constrained_superposition,[],[f7798,f16355]) ).
thf(f16367,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_197
| spl0_288 ),
inference(constrained_superposition,[],[f14144,f16355]) ).
thf(f16377,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_197
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f16357]) ).
thf(f16386,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_197
| spl0_288 ),
inference(trivial_inequality_removal,[],[f16367]) ).
thf(f16392,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_197
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f16386,f27]) ).
thf(f16393,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_197
| spl0_288
| spl0_303 ),
inference(forward_subsumption_resolution,[],[f16392,f13760]) ).
thf(f16394,plain,
( spl0_298
| ~ spl0_197
| spl0_288
| spl0_303 ),
inference(avatar_split_clause,[],[f16393,f13759,f12189,f7034,f12997]) ).
thf(f16405,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_197
| ~ spl0_236
| ~ spl0_278 ),
inference(constrained_superposition,[],[f16377,f12148]) ).
thf(f16417,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_197
| ~ spl0_236
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f16405]) ).
thf(f16443,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_197
| ~ spl0_236
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f16417,f27]) ).
thf(f16460,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_197
| ~ spl0_236
| ~ spl0_278
| spl0_303 ),
inference(forward_subsumption_resolution,[],[f16443,f13760]) ).
thf(f16464,plain,
( spl0_298
| ~ spl0_197
| ~ spl0_236
| ~ spl0_278
| spl0_303 ),
inference(avatar_split_clause,[],[f16460,f13759,f12147,f7797,f7034,f12997]) ).
thf(f16515,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_298 ),
inference(constrained_superposition,[],[f1293,f12998]) ).
thf(f16780,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f16515,f31]) ).
thf(f16811,plain,
( $false
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f16780,f26]) ).
thf(f16812,plain,
~ spl0_298,
inference(avatar_contradiction_clause,[],[f16811]) ).
thf(f16817,plain,
( spl0_311
| spl0_303
| ~ spl0_136
| ~ spl0_8
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f15628,f11916,f123,f3840,f13759,f13806]) ).
thf(f16819,plain,
( spl0_311
| ~ spl0_145
| ~ spl0_266
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f14650,f12147,f11926,f4212,f13806]) ).
thf(f16826,plain,
( ~ spl0_303
| ~ spl0_263
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f14770,f14744,f11916,f13759]) ).
thf(f16828,plain,
( spl0_292
| spl0_303
| ~ spl0_136
| spl0_311
| ~ spl0_246
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f15642,f11916,f8548,f13806,f3840,f13759,f12209]) ).
thf(f16832,plain,
( ~ spl0_136
| ~ spl0_263
| ~ spl0_266
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f15810,f12214,f11926,f11916,f3840]) ).
thf(f16835,plain,
( spl0_303
| ~ spl0_136
| ~ spl0_8
| ~ spl0_263
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f15811,f11926,f11916,f123,f3840,f13759]) ).
thf(f16846,plain,
( spl0_293
| ~ spl0_25
| spl0_288 ),
inference(avatar_split_clause,[],[f14264,f12189,f325,f12214]) ).
thf(f16849,definition,
( spl0_344
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).
thf(f16850,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_344 ),
inference(avatar_component_clause,[],[f16849]) ).
thf(f16855,plain,
( ~ spl0_278
| spl0_315
| spl0_313
| ~ spl0_183
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f14803,f11916,f6953,f13932,f14148,f12147]) ).
thf(f16872,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_136 ),
inference(constrained_superposition,[],[f369,f3841]) ).
thf(f16879,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f16872]) ).
thf(f16899,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_344 ),
inference(constrained_superposition,[],[f16850,f30]) ).
thf(f16900,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_344 ),
inference(trivial_inequality_removal,[],[f16899]) ).
thf(f17108,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_194
| ~ spl0_265 ),
inference(constrained_superposition,[],[f8198,f11924]) ).
thf(f17109,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_265
| ~ spl0_305 ),
inference(constrained_superposition,[],[f13769,f11924]) ).
thf(f17110,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_193
| ~ spl0_265 ),
inference(constrained_superposition,[],[f8131,f11924]) ).
thf(f17111,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_193
| ~ spl0_265 ),
inference(constrained_superposition,[],[f7016,f11924]) ).
thf(f17131,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_10
| ~ spl0_265 ),
inference(constrained_superposition,[],[f3920,f11924]) ).
thf(f17155,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_194
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f17108]) ).
thf(f17157,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_10
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f17131]) ).
thf(f17161,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_193
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f17110]) ).
thf(f17162,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_193
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f17111]) ).
thf(f17170,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_265
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f17109]) ).
thf(f17190,definition,
( spl0_346
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).
thf(f17191,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_346 ),
inference(avatar_component_clause,[],[f17190]) ).
thf(f17195,definition,
( spl0_347
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
thf(f17196,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_347 ),
inference(avatar_component_clause,[],[f17195]) ).
thf(f17199,definition,
( spl0_348
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_348])],[avatar_definition]) ).
thf(f17200,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_348 ),
inference(avatar_component_clause,[],[f17199]) ).
thf(f17202,definition,
( spl0_349
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_349])],[avatar_definition]) ).
thf(f17203,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_349 ),
inference(avatar_component_clause,[],[f17202]) ).
thf(f17204,plain,
( ~ spl0_348
| spl0_275
| ~ spl0_349
| ~ spl0_194
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f17155,f11923,f7020,f17202,f12135,f17199]) ).
thf(f17206,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_10
| ~ spl0_265
| spl0_278 ),
inference(forward_subsumption_resolution,[],[f17157,f14146]) ).
thf(f17209,definition,
( spl0_350
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_350])],[avatar_definition]) ).
thf(f17210,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_350 ),
inference(avatar_component_clause,[],[f17209]) ).
thf(f17211,plain,
( ~ spl0_350
| spl0_111
| ~ spl0_349
| ~ spl0_193
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f17161,f11923,f7015,f17202,f3292,f17209]) ).
thf(f17212,plain,
( spl0_279
| spl0_111
| ~ spl0_193
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f17162,f11923,f7015,f3292,f12150]) ).
thf(f17215,definition,
( spl0_351
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_351])],[avatar_definition]) ).
thf(f17216,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_351 ),
inference(avatar_component_clause,[],[f17215]) ).
thf(f17218,plain,
( ~ spl0_349
| spl0_286
| ~ spl0_348
| ~ spl0_265
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f17170,f13768,f11923,f17199,f12181,f17202]) ).
thf(f17225,plain,
( ~ spl0_135
| ~ spl0_10
| ~ spl0_265
| spl0_278 ),
inference(avatar_split_clause,[],[f17206,f12147,f11923,f130,f3836]) ).
thf(f17227,definition,
( spl0_352
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_352])],[avatar_definition]) ).
thf(f17228,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_352 ),
inference(avatar_component_clause,[],[f17227]) ).
thf(f17237,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_111
| ~ spl0_311 ),
inference(constrained_superposition,[],[f13807,f3293]) ).
thf(f17241,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_111
| ~ spl0_236 ),
inference(constrained_superposition,[],[f7798,f3293]) ).
thf(f17250,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_111
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f17237]) ).
thf(f17252,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_111
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f17241]) ).
thf(f17257,plain,
( $false
| ~ spl0_20
| ~ spl0_111
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[],[f17250,f257]) ).
thf(f17258,plain,
( ~ spl0_20
| ~ spl0_111
| ~ spl0_311 ),
inference(avatar_contradiction_clause,[],[f17257]) ).
thf(f17259,plain,
( $false
| ~ spl0_111
| ~ spl0_145
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f17252,f4213]) ).
thf(f17260,plain,
( ~ spl0_111
| ~ spl0_145
| ~ spl0_236 ),
inference(avatar_contradiction_clause,[],[f17259]) ).
thf(f17261,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_349 ),
inference(constrained_superposition,[],[f17203,f35]) ).
thf(f17263,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_349 ),
inference(trivial_inequality_removal,[],[f17261]) ).
thf(f17265,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_275
| ~ spl0_311 ),
inference(constrained_superposition,[],[f13807,f12136]) ).
thf(f17281,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_275
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f17265]) ).
thf(f17293,plain,
( $false
| ~ spl0_72
| ~ spl0_275
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[],[f17281,f1599]) ).
thf(f17294,plain,
( ~ spl0_72
| ~ spl0_275
| ~ spl0_311 ),
inference(avatar_contradiction_clause,[],[f17293]) ).
thf(f17302,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_350 ),
inference(constrained_superposition,[],[f17210,f37]) ).
thf(f17303,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_350 ),
inference(constrained_superposition,[],[f17210,f30]) ).
thf(f17305,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_350 ),
inference(trivial_inequality_removal,[],[f17302]) ).
thf(f17306,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_350 ),
inference(trivial_inequality_removal,[],[f17303]) ).
thf(f17309,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_284
| spl0_350 ),
inference(forward_subsumption_resolution,[],[f17305,f14602]) ).
thf(f17310,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_284
| spl0_350 ),
inference(forward_subsumption_resolution,[],[f17306,f14602]) ).
thf(f17315,plain,
( spl0_297
| spl0_284
| spl0_350 ),
inference(avatar_split_clause,[],[f17309,f17209,f12174,f12992]) ).
thf(f17316,plain,
( spl0_298
| spl0_284
| spl0_350 ),
inference(avatar_split_clause,[],[f17310,f17209,f12174,f12997]) ).
thf(f17326,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_141
| ~ spl0_283 ),
inference(constrained_superposition,[],[f4018,f12171]) ).
thf(f17329,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_283 ),
inference(constrained_superposition,[],[f14137,f12171]) ).
thf(f17330,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_283
| ~ spl0_328 ),
inference(constrained_superposition,[],[f15089,f12171]) ).
thf(f17336,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_263
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f17329]) ).
thf(f17344,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_141
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f17326]) ).
thf(f17345,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_283
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f17330]) ).
thf(f17347,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(avatar_component_clause,[],[f12181]) ).
thf(f17348,plain,
( spl0_306
| ~ spl0_286
| ~ spl0_263
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f17336,f12170,f11916,f12181,f13773]) ).
thf(f17349,plain,
( $false
| ~ spl0_141
| ~ spl0_283
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f17344,f13781]) ).
thf(f17350,plain,
( ~ spl0_141
| ~ spl0_283
| ~ spl0_307 ),
inference(avatar_contradiction_clause,[],[f17349]) ).
thf(f17351,plain,
( $false
| ~ spl0_58
| ~ spl0_283
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f17345,f1546]) ).
thf(f17352,plain,
( ~ spl0_58
| ~ spl0_283
| ~ spl0_328 ),
inference(avatar_contradiction_clause,[],[f17351]) ).
thf(f17353,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(constrained_superposition,[],[f17347,f176]) ).
thf(f17354,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f17353]) ).
thf(f17355,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f17354,f27]) ).
thf(f17357,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_113
| spl0_286 ),
inference(constrained_superposition,[],[f3305,f17355]) ).
thf(f17358,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_118
| spl0_286 ),
inference(constrained_superposition,[],[f3327,f17355]) ).
thf(f17359,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_193
| spl0_286 ),
inference(constrained_superposition,[],[f8131,f17355]) ).
thf(f17373,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_69
| spl0_286 ),
inference(constrained_superposition,[],[f1588,f17355]) ).
thf(f17385,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl0_286 ),
inference(constrained_superposition,[],[f50,f17355]) ).
thf(f17404,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_193
| spl0_286 ),
inference(trivial_inequality_removal,[],[f17359]) ).
thf(f17407,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f17385]) ).
thf(f17422,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_118
| spl0_286 ),
inference(trivial_inequality_removal,[],[f17358]) ).
thf(f17425,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_113
| spl0_286 ),
inference(trivial_inequality_removal,[],[f17357]) ).
thf(f17430,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_69
| spl0_286 ),
inference(trivial_inequality_removal,[],[f17373]) ).
thf(f17432,definition,
( spl0_353
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_353])],[avatar_definition]) ).
thf(f17433,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_353 ),
inference(avatar_component_clause,[],[f17432]) ).
thf(f17437,definition,
( spl0_354
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_354])],[avatar_definition]) ).
thf(f17438,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_354 ),
inference(avatar_component_clause,[],[f17437]) ).
thf(f17440,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_61
| ~ spl0_193
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f17404,f7268]) ).
thf(f17441,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_29
| ~ spl0_136
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f17407,f16879]) ).
thf(f17444,plain,
( spl0_354
| ~ spl0_147
| ~ spl0_118
| spl0_286 ),
inference(avatar_split_clause,[],[f17422,f12181,f3326,f4222,f17437]) ).
thf(f17446,plain,
( ~ spl0_147
| ~ spl0_113
| spl0_286 ),
inference(avatar_split_clause,[],[f17425,f12181,f3304,f4222]) ).
thf(f17449,definition,
( spl0_355
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_355])],[avatar_definition]) ).
thf(f17450,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_355 ),
inference(avatar_component_clause,[],[f17449]) ).
thf(f17451,plain,
( spl0_355
| spl0_275
| ~ spl0_69
| spl0_286 ),
inference(avatar_split_clause,[],[f17430,f12181,f1587,f12135,f17449]) ).
thf(f17452,plain,
( ~ spl0_120
| ~ spl0_285
| spl0_61
| ~ spl0_193
| spl0_286 ),
inference(avatar_split_clause,[],[f17440,f12181,f7015,f1555,f12177,f3341]) ).
thf(f17453,plain,
( spl0_202
| ~ spl0_29
| ~ spl0_136
| spl0_286 ),
inference(avatar_split_clause,[],[f17441,f12181,f3840,f368,f7055]) ).
thf(f17456,definition,
( spl0_356
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_356])],[avatar_definition]) ).
thf(f17457,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_356 ),
inference(avatar_component_clause,[],[f17456]) ).
thf(f17459,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_143
| ~ spl0_286 ),
inference(constrained_superposition,[],[f4025,f12182]) ).
thf(f17475,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_143
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f17459]) ).
thf(f17479,plain,
( $false
| ~ spl0_136
| ~ spl0_143
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f17475,f3841]) ).
thf(f17480,plain,
( ~ spl0_136
| ~ spl0_143
| ~ spl0_286 ),
inference(avatar_contradiction_clause,[],[f17479]) ).
thf(f17484,plain,
( $false
| ~ spl0_46
| spl0_303 ),
inference(forward_subsumption_resolution,[],[f13760,f576]) ).
thf(f17485,plain,
( ~ spl0_46
| spl0_303 ),
inference(avatar_contradiction_clause,[],[f17484]) ).
thf(f17488,plain,
( spl0_136
| ~ spl0_192
| ~ spl0_25
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f14065,f13787,f325,f7012,f3840]) ).
thf(f17489,plain,
( spl0_290
| spl0_136
| spl0_344 ),
inference(avatar_split_clause,[],[f16900,f16849,f3840,f12199]) ).
thf(f17493,plain,
( spl0_303
| spl0_349 ),
inference(avatar_split_clause,[],[f17263,f17202,f13759]) ).
thf(f17498,plain,
( ~ spl0_50
| spl0_68
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f9357,f3304,f1584,f701]) ).
thf(f17520,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_192
| ~ spl0_236 ),
inference(constrained_superposition,[],[f7798,f7013]) ).
thf(f17524,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_192
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f17520]) ).
thf(f17534,plain,
( ~ spl0_181
| ~ spl0_192
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f17524,f7797,f7012,f6941]) ).
thf(f17559,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_356 ),
inference(constrained_superposition,[],[f17457,f36]) ).
thf(f17562,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_356 ),
inference(trivial_inequality_removal,[],[f17559]) ).
thf(f17564,plain,
( spl0_313
| spl0_356 ),
inference(avatar_split_clause,[],[f17562,f17456,f13932]) ).
thf(f17565,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_120 ),
inference(constrained_superposition,[],[f3342,f35]) ).
thf(f17567,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_120 ),
inference(trivial_inequality_removal,[],[f17565]) ).
thf(f17574,plain,
( spl0_309
| spl0_120 ),
inference(avatar_split_clause,[],[f17567,f3341,f13790]) ).
thf(f17576,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_17
| ~ spl0_25
| ~ spl0_309 ),
inference(constrained_superposition,[],[f7702,f14427]) ).
thf(f17579,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_17
| ~ spl0_25
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f17576]) ).
thf(f17582,plain,
( spl0_136
| spl0_308
| ~ spl0_17
| ~ spl0_25
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f17579,f13790,f325,f222,f13787,f3840]) ).
thf(f17591,plain,
( ( $true != $true )
| ~ spl0_37
| spl0_89 ),
inference(constrained_superposition,[],[f5082,f499]) ).
thf(f17592,plain,
( ( $true != $true )
| ~ spl0_37
| spl0_284 ),
inference(constrained_superposition,[],[f14602,f499]) ).
thf(f17595,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_37
| ~ spl0_72 ),
inference(constrained_superposition,[],[f7335,f499]) ).
thf(f17609,plain,
( $false
| ~ spl0_37
| spl0_89 ),
inference(trivial_inequality_removal,[],[f17591]) ).
thf(f17610,plain,
( ~ spl0_37
| spl0_89 ),
inference(avatar_contradiction_clause,[],[f17609]) ).
thf(f17611,plain,
( $false
| ~ spl0_37
| spl0_284 ),
inference(trivial_inequality_removal,[],[f17592]) ).
thf(f17612,plain,
( ~ spl0_37
| spl0_284 ),
inference(avatar_contradiction_clause,[],[f17611]) ).
thf(f17614,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_37
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f17595]) ).
thf(f17621,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_13
| ~ spl0_37
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f17614,f208]) ).
thf(f17625,plain,
( spl0_164
| ~ spl0_13
| ~ spl0_37
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f17621,f1598,f498,f207,f5656]) ).
thf(f17627,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_136 ),
inference(constrained_superposition,[],[f369,f3841]) ).
thf(f17631,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f17627]) ).
thf(f17636,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_44
| ~ spl0_89 ),
inference(constrained_superposition,[],[f567,f1965]) ).
thf(f17639,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_89
| ~ spl0_150 ),
inference(constrained_superposition,[],[f4252,f1965]) ).
thf(f17645,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_89
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f17639]) ).
thf(f17652,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_44
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f17636]) ).
thf(f17657,plain,
( $false
| ~ spl0_44
| ~ spl0_72
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f17652,f1599]) ).
thf(f17658,plain,
( ~ spl0_44
| ~ spl0_72
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f17657]) ).
thf(f17667,definition,
( spl0_357
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_357])],[avatar_definition]) ).
thf(f17668,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_357 ),
inference(avatar_component_clause,[],[f17667]) ).
thf(f17670,plain,
( ~ spl0_13
| spl0_44
| ~ spl0_89
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f17645,f4251,f1964,f566,f207]) ).
thf(f17676,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4813,f27]) ).
thf(f17683,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f17676,f27]) ).
thf(f17684,plain,
( spl0_30
| spl0_13
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f17683,f130,f207,f436]) ).
thf(f17699,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_13
| ~ spl0_183 ),
inference(constrained_superposition,[],[f568,f6954]) ).
thf(f17701,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_10
| spl0_13 ),
inference(constrained_superposition,[],[f568,f5146]) ).
thf(f17702,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10
| spl0_13 ),
inference(constrained_superposition,[],[f568,f5028]) ).
thf(f17703,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_10
| spl0_13 ),
inference(constrained_superposition,[],[f568,f4827]) ).
thf(f17713,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_13
| ~ spl0_223 ),
inference(constrained_superposition,[],[f568,f7159]) ).
thf(f17714,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_13
| ~ spl0_190 ),
inference(constrained_superposition,[],[f568,f8699]) ).
thf(f17716,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10
| spl0_13 ),
inference(constrained_superposition,[],[f568,f4592]) ).
thf(f17718,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_10
| spl0_13 ),
inference(trivial_inequality_removal,[],[f17716]) ).
thf(f17721,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_13
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f17713]) ).
thf(f17722,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_13
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f17699]) ).
thf(f17723,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_10
| spl0_13 ),
inference(trivial_inequality_removal,[],[f17701]) ).
thf(f17728,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_10
| spl0_13 ),
inference(trivial_inequality_removal,[],[f17703]) ).
thf(f17730,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_13
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f17714]) ).
thf(f17732,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_10
| spl0_13 ),
inference(trivial_inequality_removal,[],[f17702]) ).
thf(f17736,plain,
( spl0_28
| spl0_154
| ~ spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f17718,f207,f130,f4705,f363]) ).
thf(f17738,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_13
| spl0_192
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f17721,f7230]) ).
thf(f17739,plain,
( $false
| spl0_13
| ~ spl0_183
| spl0_192 ),
inference(forward_subsumption_resolution,[],[f17722,f7230]) ).
thf(f17740,plain,
( spl0_13
| ~ spl0_183
| spl0_192 ),
inference(avatar_contradiction_clause,[],[f17739]) ).
thf(f17741,plain,
( spl0_235
| ~ spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f17723,f207,f130,f7794]) ).
thf(f17744,plain,
( spl0_237
| ~ spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f17728,f207,f130,f7801]) ).
thf(f17746,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_13
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f17730,f27]) ).
thf(f17748,plain,
( spl0_154
| ~ spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f17732,f207,f130,f4705]) ).
thf(f17754,plain,
( spl0_28
| spl0_13
| spl0_192
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f17738,f7158,f7012,f207,f363]) ).
thf(f17757,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_13
| ~ spl0_190
| spl0_192 ),
inference(forward_subsumption_resolution,[],[f17746,f7230]) ).
thf(f17758,plain,
( spl0_28
| spl0_13
| ~ spl0_190
| spl0_192 ),
inference(avatar_split_clause,[],[f17757,f7012,f6997,f207,f363]) ).
thf(f17760,definition,
( spl0_358
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_358])],[avatar_definition]) ).
thf(f17761,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_358 ),
inference(avatar_component_clause,[],[f17760]) ).
thf(f17825,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_95 ),
inference(constrained_superposition,[],[f2307,f208]) ).
thf(f17836,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_13
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f17825]) ).
thf(f17845,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_148
| ~ spl0_183 ),
inference(constrained_superposition,[],[f10538,f4234]) ).
thf(f17848,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_148
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f17845]) ).
thf(f17853,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_29
| ~ spl0_136
| ~ spl0_148
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f17848,f17631]) ).
thf(f17855,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_13
| ~ spl0_29
| ~ spl0_136
| ~ spl0_148
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f17853,f208]) ).
thf(f17858,plain,
( spl0_44
| ~ spl0_13
| ~ spl0_29
| ~ spl0_136
| ~ spl0_148
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f17855,f6953,f4233,f3840,f368,f207,f566]) ).
thf(f17859,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_13
| ~ spl0_148
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f17848,f208]) ).
thf(f17867,plain,
( ~ spl0_181
| ~ spl0_13
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f17836,f2306,f207,f6941]) ).
thf(f17868,plain,
( $false
| ~ spl0_46
| spl0_309 ),
inference(forward_subsumption_resolution,[],[f13791,f576]) ).
thf(f17869,plain,
( ~ spl0_46
| spl0_309 ),
inference(avatar_contradiction_clause,[],[f17868]) ).
thf(f17870,plain,
( spl0_44
| spl0_313
| ~ spl0_13
| ~ spl0_148
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f17859,f6953,f4233,f207,f13932,f566]) ).
thf(f17884,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f29,f6942]) ).
thf(f17885,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f17884]) ).
thf(f17888,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_25
| ~ spl0_313 ),
inference(constrained_superposition,[],[f4665,f13933]) ).
thf(f17889,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_313 ),
inference(constrained_superposition,[],[f29,f13933]) ).
thf(f17890,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f17889]) ).
thf(f17891,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f17888]) ).
thf(f17909,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f29,f56]) ).
thf(f17910,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f17909]) ).
thf(f17918,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_101
| ~ spl0_102
| spl0_136
| ~ spl0_236 ),
inference(constrained_superposition,[],[f15643,f7836]) ).
thf(f17919,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_101
| spl0_136 ),
inference(constrained_superposition,[],[f15643,f2696]) ).
thf(f17923,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_101
| spl0_136 ),
inference(trivial_inequality_removal,[],[f17919]) ).
thf(f17924,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_101
| ~ spl0_102
| spl0_136
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f17918]) ).
thf(f17931,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f29,f3293]) ).
thf(f17933,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f17931]) ).
thf(f17945,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_352 ),
inference(constrained_superposition,[],[f17228,f36]) ).
thf(f17948,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_352 ),
inference(trivial_inequality_removal,[],[f17945]) ).
thf(f17950,plain,
( spl0_307
| spl0_352 ),
inference(avatar_split_clause,[],[f17948,f17227,f13780]) ).
thf(f17953,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_303 ),
inference(constrained_superposition,[],[f29,f13802]) ).
thf(f17956,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f17953]) ).
thf(f17987,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_162
| ~ spl0_263 ),
inference(constrained_superposition,[],[f14137,f5629]) ).
thf(f17988,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_162
| ~ spl0_328 ),
inference(constrained_superposition,[],[f15089,f5629]) ).
thf(f17993,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_162
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f17987]) ).
thf(f17995,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_162
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f17988]) ).
thf(f18000,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_162
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f17993,f5629]) ).
thf(f18002,plain,
( $false
| ~ spl0_58
| ~ spl0_162
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f17995,f1546]) ).
thf(f18003,plain,
( ~ spl0_58
| ~ spl0_162
| ~ spl0_328 ),
inference(avatar_contradiction_clause,[],[f18002]) ).
thf(f18005,plain,
( spl0_306
| ~ spl0_162
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f18000,f11916,f5628,f13773]) ).
thf(f18007,definition,
( spl0_359
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_359])],[avatar_definition]) ).
thf(f18008,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_359 ),
inference(avatar_component_clause,[],[f18007]) ).
thf(f18044,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_281 ),
inference(constrained_superposition,[],[f12162,f37]) ).
thf(f18046,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_281 ),
inference(trivial_inequality_removal,[],[f18044]) ).
thf(f18050,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_293 ),
inference(constrained_superposition,[],[f369,f12215]) ).
thf(f18061,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f18050]) ).
thf(f18063,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(constrained_superposition,[],[f17347,f176]) ).
thf(f18064,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f18063]) ).
thf(f18065,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f18064,f27]) ).
thf(f18066,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_225
| spl0_286 ),
inference(constrained_superposition,[],[f7228,f18065]) ).
thf(f18070,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true ) )
| spl0_286 ),
inference(constrained_superposition,[],[f5605,f18065]) ).
thf(f18085,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_225
| spl0_286 ),
inference(trivial_inequality_removal,[],[f18066]) ).
thf(f18098,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f18070]) ).
thf(f18103,plain,
( ~ spl0_120
| ~ spl0_225
| spl0_286 ),
inference(avatar_split_clause,[],[f18085,f12181,f7227,f3341]) ).
thf(f18106,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f18098,f17347]) ).
thf(f18109,plain,
( spl0_166
| spl0_286 ),
inference(avatar_split_clause,[],[f18106,f12181,f6075]) ).
thf(f18111,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_263
| ~ spl0_284 ),
inference(constrained_superposition,[],[f14137,f12175]) ).
thf(f18112,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_284
| ~ spl0_328 ),
inference(constrained_superposition,[],[f15089,f12175]) ).
thf(f18119,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f18111]) ).
thf(f18123,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_284
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f18112]) ).
thf(f18124,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_148
| ~ spl0_263
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f18119,f4234]) ).
thf(f18127,plain,
( $false
| ~ spl0_13
| ~ spl0_284
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f18123,f208]) ).
thf(f18128,plain,
( ~ spl0_13
| ~ spl0_284
| ~ spl0_328 ),
inference(avatar_contradiction_clause,[],[f18127]) ).
thf(f18129,plain,
( spl0_343
| ~ spl0_148
| ~ spl0_263
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f18124,f12174,f11916,f4233,f16329]) ).
thf(f18160,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_348 ),
inference(constrained_superposition,[],[f17200,f37]) ).
thf(f18161,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| spl0_348 ),
inference(constrained_superposition,[],[f17200,f30]) ).
thf(f18163,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_348 ),
inference(trivial_inequality_removal,[],[f18160]) ).
thf(f18165,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_348 ),
inference(trivial_inequality_removal,[],[f18161]) ).
thf(f18168,definition,
( spl0_360
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_360])],[avatar_definition]) ).
thf(f18169,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_360 ),
inference(avatar_component_clause,[],[f18168]) ).
thf(f18170,plain,
( spl0_360
| spl0_283
| spl0_348 ),
inference(avatar_split_clause,[],[f18163,f17199,f12170,f18168]) ).
thf(f18172,plain,
( spl0_339
| spl0_283
| spl0_348 ),
inference(avatar_split_clause,[],[f18165,f17199,f12170,f15790]) ).
thf(f18188,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_69
| ~ spl0_265 ),
inference(constrained_superposition,[],[f1588,f11924]) ).
thf(f18214,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_69
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f18188]) ).
thf(f18226,plain,
( spl0_267
| spl0_273
| ~ spl0_69
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f18214,f11923,f1587,f12128,f12105]) ).
thf(f18394,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_27
| ~ spl0_275 ),
inference(constrained_superposition,[],[f357,f12136]) ).
thf(f18417,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_27
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f18394]) ).
thf(f18425,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_27
| ~ spl0_72
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f18417,f1599]) ).
thf(f18426,plain,
( $false
| ~ spl0_27
| ~ spl0_72
| spl0_136
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f18425,f15643]) ).
thf(f18427,plain,
( ~ spl0_27
| ~ spl0_72
| spl0_136
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f18426]) ).
thf(f18459,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_2
| ~ spl0_190 ),
inference(constrained_superposition,[],[f17910,f8699]) ).
thf(f18464,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_2
| ~ spl0_111 ),
inference(constrained_superposition,[],[f17910,f3293]) ).
thf(f18467,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) ) )
| ~ spl0_2
| ~ spl0_183 ),
inference(constrained_superposition,[],[f17910,f6954]) ).
thf(f18471,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_222 ),
inference(constrained_superposition,[],[f17910,f7155]) ).
thf(f18483,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f18471]) ).
thf(f18485,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f18464]) ).
thf(f18491,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_2
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f18459]) ).
thf(f18493,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f18467]) ).
thf(f18504,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_2
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f18483,f56]) ).
thf(f18506,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) ) )
| ~ spl0_2
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f18493,f56]) ).
thf(f18553,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f502,f175]) ).
thf(f18562,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f18553]) ).
thf(f18740,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_111
| ~ spl0_313 ),
inference(constrained_superposition,[],[f17933,f13933]) ).
thf(f18748,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_111
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f18740]) ).
thf(f18912,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_265
| ~ spl0_326 ),
inference(constrained_superposition,[],[f14915,f11924]) ).
thf(f18920,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_265
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f18912]) ).
thf(f18951,plain,
( spl0_88
| spl0_275
| spl0_281 ),
inference(avatar_split_clause,[],[f18046,f12161,f12135,f1961]) ).
thf(f18952,plain,
( ~ spl0_135
| ~ spl0_281
| ~ spl0_265
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f18920,f14914,f11923,f12161,f3836]) ).
thf(f18960,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f29,f12182]) ).
thf(f18968,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f18960]) ).
thf(f18991,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_313 ),
inference(constrained_superposition,[],[f17890,f11927]) ).
thf(f18992,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f13774,f11927]) ).
thf(f18999,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_25
| ~ spl0_266 ),
inference(constrained_superposition,[],[f4665,f11927]) ).
thf(f19001,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_266 ),
inference(constrained_superposition,[],[f17910,f11927]) ).
thf(f19003,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_266
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f18991]) ).
thf(f19006,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f18992]) ).
thf(f19008,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f19001]) ).
thf(f19014,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f18999]) ).
thf(f19016,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f19006,f176]) ).
thf(f19017,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f19016]) ).
thf(f19018,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f19017,f27]) ).
thf(f19022,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_113
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f3305,f19018]) ).
thf(f19027,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f5605,f19018]) ).
thf(f19029,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f1553,f19018]) ).
thf(f19030,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f204,f19018]) ).
thf(f19043,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f19029]) ).
thf(f19048,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f19027]) ).
thf(f19050,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f19030]) ).
thf(f19057,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_113
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f19022]) ).
thf(f19064,plain,
( spl0_267
| spl0_335
| ~ spl0_60
| ~ spl0_266
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f19043,f13773,f11926,f1552,f15357,f12105]) ).
thf(f19066,definition,
( spl0_362
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_362])],[avatar_definition]) ).
thf(f19067,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_362 ),
inference(avatar_component_clause,[],[f19066]) ).
thf(f19069,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f19048,f19006]) ).
thf(f19070,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_266
| spl0_288
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f19050,f14144]) ).
thf(f19071,plain,
( ~ spl0_269
| ~ spl0_113
| ~ spl0_266
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f19057,f13773,f11926,f3304,f12112]) ).
thf(f19073,plain,
( spl0_166
| ~ spl0_266
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f19069,f13773,f11926,f6075]) ).
thf(f19074,plain,
( spl0_208
| ~ spl0_266
| spl0_288
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f19070,f13773,f12189,f11926,f7085]) ).
thf(f19120,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f3290,f1292]) ).
thf(f19124,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f3290,f35]) ).
thf(f19129,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f19120]) ).
thf(f19130,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f19124]) ).
thf(f19136,definition,
( spl0_363
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_363])],[avatar_definition]) ).
thf(f19137,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_363 ),
inference(avatar_component_clause,[],[f19136]) ).
thf(f19138,plain,
( spl0_275
| spl0_363
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f19129,f3289,f19136,f12135]) ).
thf(f19220,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f4218,f75]) ).
thf(f19227,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f19220]) ).
thf(f19229,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| spl0_136
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f19227,f15643]) ).
thf(f19231,definition,
( spl0_364
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_364])],[avatar_definition]) ).
thf(f19232,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_364 ),
inference(avatar_component_clause,[],[f19231]) ).
thf(f19233,plain,
( ~ spl0_48
| spl0_364
| spl0_136
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f19229,f4217,f3840,f19231,f694]) ).
thf(f19238,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_364 ),
inference(constrained_superposition,[],[f19232,f175]) ).
thf(f19245,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f19238]) ).
thf(f19248,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f3323,f1292]) ).
thf(f19261,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f19248]) ).
thf(f19265,definition,
( spl0_365
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).
thf(f19266,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f19265]) ).
thf(f19267,plain,
( spl0_365
| ~ spl0_94
| spl0_275
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f19261,f3322,f12135,f2092,f19265]) ).
thf(f19269,definition,
( spl0_366
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f19270,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f19269]) ).
thf(f19366,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_346 ),
inference(constrained_superposition,[],[f17191,f75]) ).
thf(f19375,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f19366]) ).
thf(f19376,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_136
| ~ spl0_346 ),
inference(forward_subsumption_resolution,[],[f19375,f15643]) ).
thf(f19381,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_136
| ~ spl0_346 ),
inference(constrained_superposition,[],[f19376,f175]) ).
thf(f19386,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_136
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f19381]) ).
thf(f19407,definition,
( spl0_367
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_367])],[avatar_definition]) ).
thf(f19408,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_367 ),
inference(avatar_component_clause,[],[f19407]) ).
thf(f19414,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_25
| ~ spl0_286 ),
inference(constrained_superposition,[],[f18968,f326]) ).
thf(f19432,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f19414]) ).
thf(f19452,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_282 ),
inference(constrained_superposition,[],[f12166,f174]) ).
thf(f19464,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f19452]) ).
thf(f19465,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_282
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f19464,f14144]) ).
thf(f19466,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_282
| spl0_288 ),
inference(constrained_superposition,[],[f19465,f1292]) ).
thf(f19476,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_282
| spl0_288 ),
inference(trivial_inequality_removal,[],[f19466]) ).
thf(f19481,plain,
( spl0_267
| ~ spl0_94
| ~ spl0_82
| ~ spl0_282
| spl0_288 ),
inference(avatar_split_clause,[],[f19476,f12189,f12165,f1820,f2092,f12105]) ).
thf(f19834,definition,
( spl0_368
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_368])],[avatar_definition]) ).
thf(f19835,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f19834]) ).
thf(f19838,definition,
( spl0_369
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_369])],[avatar_definition]) ).
thf(f19839,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_369 ),
inference(avatar_component_clause,[],[f19838]) ).
thf(f19885,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_296 ),
inference(constrained_superposition,[],[f1293,f12888]) ).
thf(f20162,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f19885,f26]) ).
thf(f20180,plain,
( $false
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f20162,f31]) ).
thf(f20181,plain,
~ spl0_296,
inference(avatar_contradiction_clause,[],[f20180]) ).
thf(f20185,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f19839,f11917]) ).
thf(f20205,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f20185]) ).
thf(f20209,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f20205,f176]) ).
thf(f20211,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f20209]) ).
thf(f20213,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f20211,f27]) ).
thf(f20226,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_38
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f18562,f20213]) ).
thf(f20238,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f219,f20213]) ).
thf(f20239,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f432,f20213]) ).
thf(f20256,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f20239]) ).
thf(f20269,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f20238]) ).
thf(f20280,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_38
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f20226]) ).
thf(f20285,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| spl0_89
| ~ spl0_263
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f20256,f5082]) ).
thf(f20288,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_16
| spl0_61
| ~ spl0_263
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f20269,f7268]) ).
thf(f20291,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_38
| ~ spl0_263
| spl0_284
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f20280,f14602]) ).
thf(f20293,plain,
( spl0_282
| spl0_89
| ~ spl0_263
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f20285,f19838,f11916,f1964,f12165]) ).
thf(f20295,plain,
( spl0_326
| ~ spl0_16
| spl0_61
| ~ spl0_263
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f20288,f19838,f11916,f1555,f218,f14914]) ).
thf(f20296,plain,
( ~ spl0_82
| ~ spl0_94
| ~ spl0_38
| ~ spl0_263
| spl0_284
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f20291,f19838,f12174,f11916,f501,f2092,f1820]) ).
thf(f20329,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_368 ),
inference(constrained_superposition,[],[f19835,f11917]) ).
thf(f20348,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f20329]) ).
thf(f20350,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f20348,f13802]) ).
thf(f20351,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(constrained_superposition,[],[f20350,f176]) ).
thf(f20352,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f20351]) ).
thf(f20353,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f20352,f27]) ).
thf(f20376,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(constrained_superposition,[],[f204,f20353]) ).
thf(f20378,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_16
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(constrained_superposition,[],[f219,f20353]) ).
thf(f20403,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_16
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f20378]) ).
thf(f20414,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f20376]) ).
thf(f20426,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_16
| spl0_61
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f20403,f7268]) ).
thf(f20429,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_61
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f20414,f7268]) ).
thf(f20433,plain,
( spl0_326
| ~ spl0_16
| spl0_61
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f20426,f19834,f13759,f11916,f1555,f218,f14914]) ).
thf(f20435,plain,
( spl0_271
| spl0_61
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f20429,f19834,f13759,f11916,f1555,f12120]) ).
thf(f20470,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true != $true ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f29,f451]) ).
thf(f20479,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f20470]) ).
thf(f20493,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_178
| spl0_284 ),
inference(constrained_superposition,[],[f14602,f6929]) ).
thf(f20494,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_89
| ~ spl0_178 ),
inference(constrained_superposition,[],[f5082,f6929]) ).
thf(f20510,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_178
| ~ spl0_183 ),
inference(constrained_superposition,[],[f10538,f6929]) ).
thf(f20511,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_178 ),
inference(constrained_superposition,[],[f17910,f6929]) ).
thf(f20518,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_178 ),
inference(duplicate_literal_removal,[],[f20511]) ).
thf(f20519,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_2
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f20518]) ).
thf(f20525,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_89
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f20494]) ).
thf(f20529,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_178
| ~ spl0_183 ),
inference(duplicate_literal_removal,[],[f20510]) ).
thf(f20530,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_178
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f20529]) ).
thf(f20534,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_178
| spl0_284 ),
inference(trivial_inequality_removal,[],[f20493]) ).
thf(f20542,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f20519,f223]) ).
thf(f20546,plain,
( $false
| ~ spl0_29
| ~ spl0_72
| spl0_89
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f20525,f7594]) ).
thf(f20547,plain,
( ~ spl0_29
| ~ spl0_72
| spl0_89
| ~ spl0_178 ),
inference(avatar_contradiction_clause,[],[f20546]) ).
thf(f20550,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_13
| ~ spl0_178
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f20530,f208]) ).
thf(f20552,plain,
( $false
| ~ spl0_29
| ~ spl0_178
| spl0_284
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f20534,f18061]) ).
thf(f20553,plain,
( ~ spl0_29
| ~ spl0_178
| spl0_284
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f20552]) ).
thf(f20561,definition,
( spl0_370
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_370])],[avatar_definition]) ).
thf(f20562,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_370 ),
inference(avatar_component_clause,[],[f20561]) ).
thf(f20563,plain,
( spl0_370
| spl0_95
| ~ spl0_2
| ~ spl0_17
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f20542,f6928,f222,f55,f2306,f20561]) ).
thf(f20570,plain,
( spl0_44
| spl0_370
| ~ spl0_13
| ~ spl0_178
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f20550,f6953,f6928,f207,f20561,f566]) ).
thf(f20591,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f6932,f175]) ).
thf(f20597,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f20591]) ).
thf(f20603,plain,
( spl0_357
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f20597,f6931,f17667]) ).
thf(f20629,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_34
| ~ spl0_111 ),
inference(constrained_superposition,[],[f20479,f3293]) ).
thf(f20651,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_34
| ~ spl0_111 ),
inference(duplicate_literal_removal,[],[f20629]) ).
thf(f20652,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_34
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f20651]) ).
thf(f20664,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_203
| spl0_288 ),
inference(constrained_superposition,[],[f14144,f7060]) ).
thf(f20669,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_61
| ~ spl0_203 ),
inference(constrained_superposition,[],[f7268,f7060]) ).
thf(f20670,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_203
| ~ spl0_236 ),
inference(constrained_superposition,[],[f7798,f7060]) ).
thf(f20679,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_203
| spl0_288 ),
inference(trivial_inequality_removal,[],[f20664]) ).
thf(f20688,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_203
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f20670]) ).
thf(f20691,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_61
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f20669]) ).
thf(f20692,plain,
( $false
| ~ spl0_29
| ~ spl0_203
| spl0_288
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f20679,f18061]) ).
thf(f20693,plain,
( ~ spl0_29
| ~ spl0_203
| spl0_288
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f20692]) ).
thf(f20695,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_183
| ~ spl0_203
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f20688,f6954]) ).
thf(f20698,plain,
( $false
| ~ spl0_29
| spl0_61
| ~ spl0_72
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f20691,f7594]) ).
thf(f20699,plain,
( ~ spl0_29
| spl0_61
| ~ spl0_72
| ~ spl0_203 ),
inference(avatar_contradiction_clause,[],[f20698]) ).
thf(f20701,plain,
( spl0_370
| ~ spl0_183
| ~ spl0_203
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f20695,f7797,f7059,f6953,f20561]) ).
thf(f20741,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f11347,f30]) ).
thf(f20743,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f11347,f74]) ).
thf(f20745,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f11347,f174]) ).
thf(f20755,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f20745]) ).
thf(f20756,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ X1 )
= $true )
| ( z = X1 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( z = X0 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f20741]) ).
thf(f20758,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f20743]) ).
thf(f20902,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( z = X0 )
| ( ( r @ z @ X1 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X1 @ X0 ) )
| ( z = X1 )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f20756,f30]) ).
thf(f20905,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 )
| ( z = X1 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ z @ X1 )
= $true ) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f20902]) ).
thf(f20906,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X1 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ z @ X1 )
= $true )
| ( X0 = X1 )
| ( z = X0 )
| ( $true
= ( r @ X1 @ X0 ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f20905]) ).
thf(f20907,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_29
| ~ spl0_72 ),
inference(constrained_superposition,[],[f7594,f20906]) ).
thf(f20943,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_4
| ~ spl0_29
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f20907]) ).
thf(f20977,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_30
| ~ spl0_338 ),
inference(constrained_superposition,[],[f15788,f437]) ).
thf(f20978,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_30
| ~ spl0_266
| ~ spl0_313 ),
inference(constrained_superposition,[],[f19003,f437]) ).
thf(f20979,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_30
| ~ spl0_303 ),
inference(constrained_superposition,[],[f17956,f437]) ).
thf(f20987,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f29,f437]) ).
thf(f20998,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_30
| ~ spl0_266
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f20978]) ).
thf(f20999,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f20987]) ).
thf(f21003,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_30
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f20977]) ).
thf(f21008,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_30
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f20979]) ).
thf(f21113,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_42
| ~ spl0_303 ),
inference(constrained_superposition,[],[f17956,f551]) ).
thf(f21132,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_42
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f21113]) ).
thf(f21147,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_30
| ~ spl0_47 ),
inference(constrained_superposition,[],[f20999,f692]) ).
thf(f21160,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_2
| ~ spl0_47 ),
inference(constrained_superposition,[],[f17910,f692]) ).
thf(f21162,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_30
| ~ spl0_47 ),
inference(duplicate_literal_removal,[],[f21147]) ).
thf(f21163,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_30
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f21162]) ).
thf(f21175,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f21160]) ).
thf(f21181,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_30
| ~ spl0_47
| ~ spl0_266 ),
inference(constrained_superposition,[],[f21163,f11927]) ).
thf(f21190,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_30
| ~ spl0_47
| ~ spl0_313 ),
inference(constrained_superposition,[],[f21163,f13933]) ).
thf(f21210,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_30
| ~ spl0_47
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f21181]) ).
thf(f21216,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_30
| ~ spl0_47
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f21190]) ).
thf(f21273,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_79
| ~ spl0_286 ),
inference(constrained_superposition,[],[f18968,f1669]) ).
thf(f21297,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_79
| ~ spl0_286 ),
inference(duplicate_literal_removal,[],[f21273]) ).
thf(f21298,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_79
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f21297]) ).
thf(f21306,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_79
| spl0_136
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f21298,f15643]) ).
thf(f21310,plain,
( spl0_290
| spl0_296
| spl0_369
| ~ spl0_79
| spl0_136
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f21306,f12181,f3840,f1668,f19838,f12887,f12199]) ).
thf(f21329,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| spl0_136
| ~ spl0_323 ),
inference(constrained_superposition,[],[f15643,f14748]) ).
thf(f21330,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181
| ~ spl0_323 ),
inference(constrained_superposition,[],[f17885,f14748]) ).
thf(f21341,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_181
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f21330]) ).
thf(f21344,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| spl0_136
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f21329]) ).
thf(f21353,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_181
| ~ spl0_323 ),
inference(forward_subsumption_resolution,[],[f21341,f27]) ).
thf(f21354,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_6
| spl0_136
| ~ spl0_323 ),
inference(forward_subsumption_resolution,[],[f21344,f2636]) ).
thf(f21358,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| spl0_6
| ~ spl0_181
| ~ spl0_323 ),
inference(forward_subsumption_resolution,[],[f21353,f2636]) ).
thf(f21359,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_6
| spl0_136
| ~ spl0_323 ),
inference(forward_subsumption_resolution,[],[f21354,f27]) ).
thf(f21361,plain,
( spl0_290
| spl0_318
| spl0_6
| ~ spl0_181
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f21358,f14747,f6941,f92,f14716,f12199]) ).
thf(f21362,plain,
( spl0_290
| spl0_6
| spl0_136
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f21359,f14747,f3840,f92,f12199]) ).
thf(f21422,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_33
| spl0_288 ),
inference(constrained_superposition,[],[f14144,f447]) ).
thf(f21427,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_33
| spl0_61 ),
inference(constrained_superposition,[],[f7268,f447]) ).
thf(f21428,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_33
| ~ spl0_236 ),
inference(constrained_superposition,[],[f7798,f447]) ).
thf(f21435,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_33
| spl0_61 ),
inference(trivial_inequality_removal,[],[f21427]) ).
thf(f21443,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_33
| spl0_288 ),
inference(trivial_inequality_removal,[],[f21422]) ).
thf(f21446,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_33
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f21428]) ).
thf(f21452,plain,
( $false
| ~ spl0_33
| spl0_61
| spl0_89 ),
inference(forward_subsumption_resolution,[],[f21435,f5082]) ).
thf(f21453,plain,
( ~ spl0_33
| spl0_61
| spl0_89 ),
inference(avatar_contradiction_clause,[],[f21452]) ).
thf(f21456,plain,
( $false
| ~ spl0_33
| spl0_284
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f21443,f14602]) ).
thf(f21457,plain,
( ~ spl0_33
| spl0_284
| spl0_288 ),
inference(avatar_contradiction_clause,[],[f21456]) ).
thf(f21458,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_30
| ~ spl0_33
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f21446,f437]) ).
thf(f21461,plain,
( spl0_37
| ~ spl0_30
| ~ spl0_33
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f21458,f7797,f446,f436,f498]) ).
thf(f21464,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f20755,f27]) ).
thf(f21470,plain,
( spl0_148
| ~ spl0_48
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f19245,f19231,f694,f4233]) ).
thf(f21472,definition,
( spl0_373
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_373])],[avatar_definition]) ).
thf(f21473,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_373 ),
inference(avatar_component_clause,[],[f21472]) ).
thf(f21474,plain,
( spl0_309
| spl0_373
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f19130,f3289,f21472,f13790]) ).
thf(f21478,definition,
( spl0_374
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_374])],[avatar_definition]) ).
thf(f21479,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_374 ),
inference(avatar_component_clause,[],[f21478]) ).
thf(f21480,plain,
( spl0_309
| spl0_374
| ~ spl0_34
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f20652,f3292,f450,f21478,f13790]) ).
thf(f21485,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_30
| ~ spl0_47
| spl0_145
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f21216,f13775]) ).
thf(f21487,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| spl0_136
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f17891,f15643]) ).
thf(f21492,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_30
| ~ spl0_47
| ~ spl0_111
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f21210,f3293]) ).
thf(f21493,plain,
( ~ spl0_17
| spl0_95
| spl0_278
| ~ spl0_30
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f21008,f13759,f436,f12147,f2306,f222]) ).
thf(f21494,plain,
( spl0_308
| ~ spl0_309
| spl0_192
| ~ spl0_2
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f18485,f3292,f55,f7012,f13790,f13787]) ).
thf(f21495,plain,
( spl0_95
| ~ spl0_192
| ~ spl0_111
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f18748,f13932,f3292,f7012,f2306]) ).
thf(f21497,plain,
( spl0_308
| spl0_307
| ~ spl0_309
| ~ spl0_2
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f19008,f11926,f55,f13790,f13780,f13787]) ).
thf(f21500,definition,
( spl0_375
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_375])],[avatar_definition]) ).
thf(f21501,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_375 ),
inference(avatar_component_clause,[],[f21500]) ).
thf(f21502,plain,
( spl0_181
| spl0_375
| ~ spl0_2
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f18506,f6953,f55,f21500,f6941]) ).
thf(f21504,plain,
( spl0_148
| ~ spl0_23
| ~ spl0_82
| spl0_136
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f19386,f17190,f3840,f1820,f302,f4233]) ).
thf(f21506,plain,
( ~ spl0_148
| ~ spl0_89
| spl0_278
| ~ spl0_30
| ~ spl0_338 ),
inference(avatar_split_clause,[],[f21003,f15787,f436,f12147,f1964,f4233]) ).
thf(f21510,plain,
( spl0_293
| ~ spl0_17
| spl0_95
| ~ spl0_42
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f21132,f13759,f550,f2306,f222,f12214]) ).
thf(f21511,plain,
( spl0_278
| ~ spl0_148
| ~ spl0_17
| ~ spl0_30
| ~ spl0_266
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f20998,f13932,f11926,f436,f222,f4233,f12147]) ).
thf(f21515,definition,
( spl0_376
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_376])],[avatar_definition]) ).
thf(f21516,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_376 ),
inference(avatar_component_clause,[],[f21515]) ).
thf(f21530,definition,
( spl0_379
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_379])],[avatar_definition]) ).
thf(f21531,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_379 ),
inference(avatar_component_clause,[],[f21530]) ).
thf(f21532,plain,
( spl0_379
| spl0_192
| ~ spl0_2
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f21175,f691,f55,f7012,f21530]) ).
thf(f21534,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_25
| ~ spl0_111
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f19014,f3293]) ).
thf(f21536,definition,
( spl0_380
<=> ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( r @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_380])],[avatar_definition]) ).
thf(f21537,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_380 ),
inference(avatar_component_clause,[],[f21536]) ).
thf(f21538,plain,
( spl0_380
| spl0_181
| ~ spl0_2
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f18491,f6997,f55,f6941,f21536]) ).
thf(f21545,definition,
( spl0_382
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_382])],[avatar_definition]) ).
thf(f21546,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_382 ),
inference(avatar_component_clause,[],[f21545]) ).
thf(f21549,definition,
( spl0_383
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_383])],[avatar_definition]) ).
thf(f21550,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_383 ),
inference(avatar_component_clause,[],[f21549]) ).
thf(f21551,plain,
( spl0_181
| spl0_383
| ~ spl0_2
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f18504,f7154,f55,f21549,f6941]) ).
thf(f21560,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f21464,f27]) ).
thf(f21563,plain,
( ~ spl0_192
| ~ spl0_30
| ~ spl0_47
| spl0_145
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f21485,f13932,f4212,f691,f436,f7012]) ).
thf(f21564,plain,
( ~ spl0_192
| spl0_95
| ~ spl0_25
| spl0_136
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f21487,f13932,f3840,f325,f2306,f7012]) ).
thf(f21566,definition,
( spl0_385
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_385])],[avatar_definition]) ).
thf(f21567,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f21566]) ).
thf(f21574,plain,
( spl0_278
| ~ spl0_30
| ~ spl0_47
| ~ spl0_111
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f21492,f11926,f3292,f691,f436,f12147]) ).
thf(f21585,plain,
( spl0_293
| spl0_343
| ~ spl0_25
| ~ spl0_111
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f21534,f11926,f3292,f325,f16329,f12214]) ).
thf(f21587,plain,
( spl0_203
| spl0_192
| ~ spl0_36
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f21560,f67,f457,f7012,f7059]) ).
thf(f21599,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| spl0_136
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f19432,f15643]) ).
thf(f21603,definition,
( spl0_391
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_391])],[avatar_definition]) ).
thf(f21604,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_391 ),
inference(avatar_component_clause,[],[f21603]) ).
thf(f21606,plain,
( spl0_391
| ~ spl0_25
| spl0_136
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f21599,f12181,f3840,f325,f21603]) ).
thf(f21610,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f29,f93]) ).
thf(f21612,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f21610]) ).
thf(f21613,plain,
( spl0_294
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f21612,f92,f12668]) ).
thf(f21630,plain,
( ( $true != $true )
| ~ spl0_11
| spl0_136 ),
inference(constrained_superposition,[],[f15643,f161]) ).
thf(f21640,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_111 ),
inference(constrained_superposition,[],[f17933,f161]) ).
thf(f21641,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_11
| ~ spl0_316 ),
inference(constrained_superposition,[],[f14710,f161]) ).
thf(f21644,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_11
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f21641]) ).
thf(f21645,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f21640]) ).
thf(f21649,plain,
( $false
| ~ spl0_11
| spl0_136 ),
inference(trivial_inequality_removal,[],[f21630]) ).
thf(f21650,plain,
( ~ spl0_11
| spl0_136 ),
inference(avatar_contradiction_clause,[],[f21649]) ).
thf(f21661,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_11
| ~ spl0_316 ),
inference(forward_subsumption_resolution,[],[f21644,f161]) ).
thf(f21662,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f21645,f161]) ).
thf(f21663,plain,
( $false
| ~ spl0_6
| ~ spl0_11
| ~ spl0_316 ),
inference(forward_subsumption_resolution,[],[f21661,f93]) ).
thf(f21664,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_316 ),
inference(avatar_contradiction_clause,[],[f21663]) ).
thf(f21665,plain,
( spl0_44
| ~ spl0_11
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f21662,f3292,f160,f566]) ).
thf(f21669,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_286
| ~ spl0_309 ),
inference(constrained_superposition,[],[f18968,f14427]) ).
thf(f21675,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_286
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f21669]) ).
thf(f21676,plain,
( spl0_368
| ~ spl0_286
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f21675,f13790,f12181,f19834]) ).
thf(f21677,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_358 ),
inference(constrained_superposition,[],[f17761,f30]) ).
thf(f21678,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_358 ),
inference(constrained_superposition,[],[f17761,f37]) ).
thf(f21681,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f21678]) ).
thf(f21683,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f21677]) ).
thf(f21685,plain,
( spl0_180
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f21681,f17760,f6938]) ).
thf(f21686,plain,
( spl0_190
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f21683,f17760,f6997]) ).
thf(f21691,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_338 ),
inference(constrained_superposition,[],[f15788,f499]) ).
thf(f21705,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_37
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f21691]) ).
thf(f21707,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_37
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f21705,f499]) ).
thf(f21708,plain,
( $false
| ~ spl0_37
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f21707,f499]) ).
thf(f21709,plain,
( ~ spl0_37
| ~ spl0_338 ),
inference(avatar_contradiction_clause,[],[f21708]) ).
thf(f21710,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_37
| ~ spl0_95 ),
inference(constrained_superposition,[],[f2307,f499]) ).
thf(f21714,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_37
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f21710]) ).
thf(f21720,plain,
( ( $true != $true )
| ~ spl0_37
| ~ spl0_95
| ~ spl0_313 ),
inference(constrained_superposition,[],[f21714,f13933]) ).
thf(f21723,plain,
( $false
| ~ spl0_37
| ~ spl0_95
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f21720]) ).
thf(f21724,plain,
( ~ spl0_37
| ~ spl0_95
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f21723]) ).
thf(f21726,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_101
| ~ spl0_102
| spl0_136
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f17924,f27]) ).
thf(f21728,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_101
| spl0_136
| spl0_145 ),
inference(forward_subsumption_resolution,[],[f17923,f13775]) ).
thf(f21729,plain,
( spl0_290
| spl0_295
| spl0_313
| ~ spl0_101
| ~ spl0_102
| spl0_136
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f21726,f7797,f3840,f2643,f2639,f13932,f12805,f12199]) ).
thf(f21730,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_101
| spl0_136
| spl0_145 ),
inference(forward_subsumption_resolution,[],[f21728,f27]) ).
thf(f21731,plain,
( spl0_313
| spl0_290
| ~ spl0_101
| spl0_136
| spl0_145 ),
inference(avatar_split_clause,[],[f21730,f4212,f3840,f2639,f12199,f13932]) ).
thf(f21748,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_89 ),
inference(constrained_superposition,[],[f29,f1965]) ).
thf(f21755,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f21748]) ).
thf(f21757,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_243 ),
inference(constrained_superposition,[],[f8444,f74]) ).
thf(f21766,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f21757]) ).
thf(f21772,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_42
| spl0_148 ),
inference(constrained_superposition,[],[f16327,f551]) ).
thf(f21773,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_34
| spl0_148 ),
inference(constrained_superposition,[],[f16327,f451]) ).
thf(f21775,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_42
| spl0_148 ),
inference(trivial_inequality_removal,[],[f21772]) ).
thf(f21777,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_34
| spl0_148 ),
inference(trivial_inequality_removal,[],[f21773]) ).
thf(f21778,plain,
( $false
| ~ spl0_42
| spl0_136
| spl0_148 ),
inference(forward_subsumption_resolution,[],[f21775,f15643]) ).
thf(f21779,plain,
( ~ spl0_42
| spl0_136
| spl0_148 ),
inference(avatar_contradiction_clause,[],[f21778]) ).
thf(f21780,plain,
( $false
| ~ spl0_34
| spl0_148
| spl0_309 ),
inference(forward_subsumption_resolution,[],[f21777,f13791]) ).
thf(f21781,plain,
( ~ spl0_34
| spl0_148
| spl0_309 ),
inference(avatar_contradiction_clause,[],[f21780]) ).
thf(f21814,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_293 ),
inference(constrained_superposition,[],[f369,f12215]) ).
thf(f21819,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f21814]) ).
thf(f21823,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_286
| ~ spl0_322 ),
inference(constrained_superposition,[],[f14745,f12182]) ).
thf(f21827,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_286
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f21823]) ).
thf(f21836,plain,
( ~ spl0_68
| ~ spl0_286
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f21827,f14744,f12181,f1584]) ).
thf(f21838,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_29
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f20943,f27]) ).
thf(f21842,definition,
( spl0_392
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_392])],[avatar_definition]) ).
thf(f21843,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_392 ),
inference(avatar_component_clause,[],[f21842]) ).
thf(f21847,definition,
( spl0_393
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_393])],[avatar_definition]) ).
thf(f21848,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_393 ),
inference(avatar_component_clause,[],[f21847]) ).
thf(f21849,plain,
( spl0_393
| spl0_68
| ~ spl0_4
| ~ spl0_29
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f21838,f1598,f368,f67,f1584,f21847]) ).
thf(f21854,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_225 ),
inference(constrained_superposition,[],[f7228,f174]) ).
thf(f21861,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f21854]) ).
thf(f21938,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_288
| ~ spl0_304 ),
inference(constrained_superposition,[],[f13763,f12190]) ).
thf(f21941,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_47
| ~ spl0_304 ),
inference(constrained_superposition,[],[f13763,f692]) ).
thf(f21948,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_288
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f21938]) ).
thf(f21953,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_47
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f21941]) ).
thf(f21954,plain,
( $false
| ~ spl0_192
| ~ spl0_288
| ~ spl0_304 ),
inference(forward_subsumption_resolution,[],[f21948,f7013]) ).
thf(f21955,plain,
( ~ spl0_192
| ~ spl0_288
| ~ spl0_304 ),
inference(avatar_contradiction_clause,[],[f21954]) ).
thf(f21956,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_47
| ~ spl0_192
| ~ spl0_304 ),
inference(forward_subsumption_resolution,[],[f21953,f7013]) ).
thf(f21957,plain,
( $false
| ~ spl0_47
| ~ spl0_192
| spl0_278
| ~ spl0_304 ),
inference(forward_subsumption_resolution,[],[f21956,f14146]) ).
thf(f21958,plain,
( ~ spl0_47
| ~ spl0_192
| spl0_278
| ~ spl0_304 ),
inference(avatar_contradiction_clause,[],[f21957]) ).
thf(f21959,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_95
| ~ spl0_148 ),
inference(constrained_superposition,[],[f2307,f4234]) ).
thf(f21960,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_148
| ~ spl0_322 ),
inference(constrained_superposition,[],[f14745,f4234]) ).
thf(f21968,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_95
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f21959]) ).
thf(f21972,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_148
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f21960]) ).
thf(f21973,plain,
( $false
| ~ spl0_17
| ~ spl0_148
| ~ spl0_322 ),
inference(forward_subsumption_resolution,[],[f21972,f223]) ).
thf(f21974,plain,
( ~ spl0_17
| ~ spl0_148
| ~ spl0_322 ),
inference(avatar_contradiction_clause,[],[f21973]) ).
thf(f21980,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_47
| spl0_288 ),
inference(constrained_superposition,[],[f14144,f692]) ).
thf(f21986,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_47
| spl0_288 ),
inference(trivial_inequality_removal,[],[f21980]) ).
thf(f21988,plain,
( $false
| ~ spl0_47
| spl0_278
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f21986,f14146]) ).
thf(f21989,plain,
( ~ spl0_47
| spl0_278
| spl0_288 ),
inference(avatar_contradiction_clause,[],[f21988]) ).
thf(f21991,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_61
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f21861,f7268]) ).
thf(f21994,plain,
( ~ spl0_36
| spl0_61
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f21991,f7227,f1555,f457]) ).
thf(f22015,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_364 ),
inference(constrained_superposition,[],[f19232,f1293]) ).
thf(f22025,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f22015]) ).
thf(f22048,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_264 ),
inference(constrained_superposition,[],[f254,f11920]) ).
thf(f22051,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_264 ),
inference(constrained_superposition,[],[f7415,f11920]) ).
thf(f22062,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_5
| ~ spl0_264 ),
inference(constrained_superposition,[],[f90,f11920]) ).
thf(f22087,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_5
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f22062]) ).
thf(f22092,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f22051]) ).
thf(f22093,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_19
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f22048]) ).
thf(f22109,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_5
| spl0_145
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f22087,f13775]) ).
thf(f22112,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_29
| ~ spl0_264
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f22092,f21819]) ).
thf(f22117,plain,
( spl0_273
| ~ spl0_5
| spl0_145
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f22109,f11919,f4212,f89,f12128]) ).
thf(f22119,plain,
( ~ spl0_356
| ~ spl0_120
| ~ spl0_4
| ~ spl0_29
| ~ spl0_264
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f22112,f12214,f11919,f368,f67,f3341,f17456]) ).
thf(f22125,definition,
( spl0_395
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_395])],[avatar_definition]) ).
thf(f22126,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_395 ),
inference(avatar_component_clause,[],[f22125]) ).
thf(f22154,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_92
| ~ spl0_265 ),
inference(constrained_superposition,[],[f1976,f11924]) ).
thf(f22164,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_265 ),
inference(constrained_superposition,[],[f1607,f11924]) ).
thf(f22192,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_74
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f22164]) ).
thf(f22198,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_92
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f22154]) ).
thf(f22212,plain,
( spl0_272
| spl0_275
| ~ spl0_92
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f22198,f11923,f1975,f12135,f12124]) ).
thf(f22228,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_99 ),
inference(constrained_superposition,[],[f2489,f74]) ).
thf(f22237,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f22228]) ).
thf(f22239,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_13
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[],[f22237,f568]) ).
thf(f22240,plain,
( ~ spl0_22
| ~ spl0_48
| spl0_13
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f22239,f2488,f207,f694,f271]) ).
thf(f22246,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f29,f223]) ).
thf(f22247,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f22246]) ).
thf(f22259,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_37
| ~ spl0_303 ),
inference(constrained_superposition,[],[f17956,f499]) ).
thf(f22269,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_37
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f22259]) ).
thf(f22332,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_392 ),
inference(constrained_superposition,[],[f21843,f174]) ).
thf(f22343,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f22332]) ).
thf(f22345,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_61
| ~ spl0_392 ),
inference(forward_subsumption_resolution,[],[f22343,f7268]) ).
thf(f22346,plain,
( ~ spl0_23
| ~ spl0_50
| spl0_61
| ~ spl0_392 ),
inference(avatar_split_clause,[],[f22345,f21842,f1555,f701,f302]) ).
thf(f22375,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_17
| ~ spl0_47 ),
inference(constrained_superposition,[],[f22247,f692]) ).
thf(f22376,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_17
| ~ spl0_25 ),
inference(constrained_superposition,[],[f22247,f326]) ).
thf(f22377,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_17
| ~ spl0_111 ),
inference(constrained_superposition,[],[f22247,f3293]) ).
thf(f22382,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_17
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f22376]) ).
thf(f22384,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_17
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f22377]) ).
thf(f22385,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_17
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f22375]) ).
thf(f22388,plain,
( spl0_382
| ~ spl0_17
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f22382,f325,f222,f21545]) ).
thf(f22389,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_17
| ~ spl0_47
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f22385,f12669]) ).
thf(f22403,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_283
| ~ spl0_331 ),
inference(constrained_superposition,[],[f15115,f12171]) ).
thf(f22417,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_283
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f22403]) ).
thf(f22421,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_148
| ~ spl0_368 ),
inference(constrained_superposition,[],[f19835,f4234]) ).
thf(f22428,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f22421]) ).
thf(f22432,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17
| ~ spl0_148
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f22428,f223]) ).
thf(f22434,plain,
( $false
| ~ spl0_17
| ~ spl0_89
| ~ spl0_148
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f22432,f1965]) ).
thf(f22435,plain,
( ~ spl0_17
| ~ spl0_89
| ~ spl0_148
| ~ spl0_368 ),
inference(avatar_contradiction_clause,[],[f22434]) ).
thf(f22440,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_58
| ~ spl0_283
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f22417,f1546]) ).
thf(f22442,plain,
( ~ spl0_68
| ~ spl0_58
| ~ spl0_283
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f22440,f15114,f12170,f1545,f1584]) ).
thf(f22444,plain,
( spl0_286
| ~ spl0_83
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f22025,f19231,f1824,f12181]) ).
thf(f22446,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_17
| ~ spl0_47
| ~ spl0_68
| ~ spl0_294 ),
inference(constrained_superposition,[],[f22389,f1585]) ).
thf(f22448,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_17
| ~ spl0_47
| ~ spl0_68
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f22446]) ).
thf(f22450,plain,
( spl0_141
| ~ spl0_17
| ~ spl0_47
| ~ spl0_68
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f22448,f12668,f1584,f691,f222,f4017]) ).
thf(f22487,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_286 ),
inference(constrained_superposition,[],[f17347,f176]) ).
thf(f22488,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f22487]) ).
thf(f22489,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f22488,f27]) ).
thf(f22494,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_19
| spl0_286 ),
inference(constrained_superposition,[],[f254,f22489]) ).
thf(f22539,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_19
| spl0_286 ),
inference(trivial_inequality_removal,[],[f22494]) ).
thf(f22549,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_19
| spl0_61
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f22539,f7268]) ).
thf(f22550,plain,
( ~ spl0_135
| spl0_354
| ~ spl0_19
| spl0_61
| spl0_286 ),
inference(avatar_split_clause,[],[f22549,f12181,f1555,f253,f17437,f3836]) ).
thf(f22575,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f17438,f36]) ).
thf(f22583,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f22575]) ).
thf(f22585,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_95
| ~ spl0_148
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f22583,f21968]) ).
thf(f22586,plain,
( ~ spl0_119
| ~ spl0_95
| ~ spl0_148
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f22585,f17437,f4233,f2306,f3330]) ).
thf(f22610,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_139
| spl0_286 ),
inference(constrained_superposition,[],[f3865,f22489]) ).
thf(f22618,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_139
| spl0_286 ),
inference(trivial_inequality_removal,[],[f22610]) ).
thf(f22625,plain,
( ~ spl0_135
| ~ spl0_285
| ~ spl0_139
| spl0_286 ),
inference(avatar_split_clause,[],[f22618,f12181,f3864,f12177,f3836]) ).
thf(f22689,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_27
| ~ spl0_309 ),
inference(constrained_superposition,[],[f357,f14427]) ).
thf(f22694,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_27
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f22689]) ).
thf(f22706,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_27
| spl0_136
| ~ spl0_309 ),
inference(forward_subsumption_resolution,[],[f22694,f15643]) ).
thf(f22708,plain,
( $false
| ~ spl0_6
| ~ spl0_27
| spl0_136
| ~ spl0_309 ),
inference(forward_subsumption_resolution,[],[f22706,f93]) ).
thf(f22709,plain,
( ~ spl0_6
| ~ spl0_27
| spl0_136
| ~ spl0_309 ),
inference(avatar_contradiction_clause,[],[f22708]) ).
thf(f22742,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_353 ),
inference(constrained_superposition,[],[f17433,f36]) ).
thf(f22743,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f22742]) ).
thf(f22752,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_95
| ~ spl0_148
| ~ spl0_353 ),
inference(forward_subsumption_resolution,[],[f22743,f21968]) ).
thf(f22753,plain,
( ~ spl0_50
| ~ spl0_84
| ~ spl0_95
| ~ spl0_148
| ~ spl0_353 ),
inference(avatar_split_clause,[],[f22752,f17432,f4233,f2306,f1828,f701]) ).
thf(f22766,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f502,f175]) ).
thf(f22774,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f22766]) ).
thf(f22830,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_107
| spl0_286 ),
inference(constrained_superposition,[],[f3274,f22489]) ).
thf(f22838,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_107
| spl0_286 ),
inference(trivial_inequality_removal,[],[f22830]) ).
thf(f22845,plain,
( spl0_363
| ~ spl0_107
| spl0_286 ),
inference(avatar_split_clause,[],[f22838,f12181,f3273,f19136]) ).
thf(f22917,plain,
( ~ spl0_135
| spl0_288
| spl0_268
| ~ spl0_19
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f22093,f11919,f253,f12108,f12189,f3836]) ).
thf(f22970,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_275
| ~ spl0_343 ),
inference(constrained_superposition,[],[f16330,f12136]) ).
thf(f22978,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_275
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f22970]) ).
thf(f22982,plain,
( $false
| ~ spl0_89
| ~ spl0_275
| ~ spl0_343 ),
inference(forward_subsumption_resolution,[],[f22978,f1965]) ).
thf(f22983,plain,
( ~ spl0_89
| ~ spl0_275
| ~ spl0_343 ),
inference(avatar_contradiction_clause,[],[f22982]) ).
thf(f23063,plain,
( spl0_267
| ~ spl0_120
| ~ spl0_281
| ~ spl0_74
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f22192,f11923,f1606,f12161,f3341,f12105]) ).
thf(f23065,definition,
( spl0_396
<=> ! [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 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_396])],[avatar_definition]) ).
thf(f23066,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_396 ),
inference(avatar_component_clause,[],[f23065]) ).
thf(f23073,plain,
( $false
| ~ spl0_37
| spl0_148 ),
inference(forward_subsumption_resolution,[],[f16327,f499]) ).
thf(f23074,plain,
( ~ spl0_37
| spl0_148 ),
inference(avatar_contradiction_clause,[],[f23073]) ).
thf(f23100,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f7035,f75]) ).
thf(f23103,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f23100]) ).
thf(f23119,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_278
| ~ spl0_304 ),
inference(constrained_superposition,[],[f13763,f12148]) ).
thf(f23122,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_278
| ~ spl0_294 ),
inference(constrained_superposition,[],[f12669,f12148]) ).
thf(f23124,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_278
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f23122]) ).
thf(f23127,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_278
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f23119]) ).
thf(f23129,plain,
( $false
| ~ spl0_181
| ~ spl0_278
| ~ spl0_304 ),
inference(forward_subsumption_resolution,[],[f23127,f6942]) ).
thf(f23130,plain,
( ~ spl0_181
| ~ spl0_278
| ~ spl0_304 ),
inference(avatar_contradiction_clause,[],[f23129]) ).
thf(f23131,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_278
| ~ spl0_294
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f23124,f13802]) ).
thf(f23132,plain,
( spl0_304
| ~ spl0_278
| ~ spl0_294
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f23131,f13759,f12668,f12147,f13762]) ).
thf(f23135,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_17
| ~ spl0_37
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f22269,f223]) ).
thf(f23137,plain,
( spl0_20
| ~ spl0_54
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f23103,f7034,f997,f256]) ).
thf(f23138,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_13
| ~ spl0_243 ),
inference(forward_subsumption_resolution,[],[f21766,f568]) ).
thf(f23139,plain,
( spl0_95
| ~ spl0_17
| ~ spl0_37
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f23135,f13759,f498,f222,f2306]) ).
thf(f23141,plain,
( ~ spl0_54
| spl0_13
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f23138,f8443,f207,f997]) ).
thf(f23183,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_95
| ~ spl0_148 ),
inference(constrained_superposition,[],[f2307,f4234]) ).
thf(f23196,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_95
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f23183]) ).
thf(f23197,plain,
( $false
| ~ spl0_95
| ~ spl0_148
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f23196,f13933]) ).
thf(f23198,plain,
( ~ spl0_95
| ~ spl0_148
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f23197]) ).
thf(f23201,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f53,f30]) ).
thf(f23202,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f53,f35]) ).
thf(f23203,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f23202]) ).
thf(f23204,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f23201]) ).
thf(f23209,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f29,f12182]) ).
thf(f23213,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f23209]) ).
thf(f23266,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_16
| ~ spl0_265 ),
inference(constrained_superposition,[],[f219,f11924]) ).
thf(f23278,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f23266]) ).
thf(f23302,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_265
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f23278,f14144]) ).
thf(f23308,plain,
( spl0_274
| ~ spl0_16
| ~ spl0_265
| spl0_288 ),
inference(avatar_split_clause,[],[f23302,f12189,f11923,f218,f12132]) ).
thf(f23330,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f121,f74]) ).
thf(f23336,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f23330]) ).
thf(f23358,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f23204,f30]) ).
thf(f23360,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f23358]) ).
thf(f23381,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_27 ),
inference(constrained_superposition,[],[f357,f326]) ).
thf(f23392,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_27 ),
inference(duplicate_literal_removal,[],[f23381]) ).
thf(f23393,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f23392]) ).
thf(f23403,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_20
| ~ spl0_25
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f23393,f257]) ).
thf(f23407,plain,
( spl0_98
| ~ spl0_20
| ~ spl0_25
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f23403,f356,f325,f256,f2473]) ).
thf(f23416,plain,
( ( $true != $true )
| ~ spl0_98
| spl0_136 ),
inference(constrained_superposition,[],[f15643,f2474]) ).
thf(f23434,plain,
( $false
| ~ spl0_98
| spl0_136 ),
inference(trivial_inequality_removal,[],[f23416]) ).
thf(f23435,plain,
( ~ spl0_98
| spl0_136 ),
inference(avatar_contradiction_clause,[],[f23434]) ).
thf(f23446,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f440,f174]) ).
thf(f23455,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f23446]) ).
thf(f23473,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_7
| ~ spl0_265 ),
inference(constrained_superposition,[],[f23336,f11924]) ).
thf(f23478,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_7
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f23473]) ).
thf(f23488,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_265
| spl0_278 ),
inference(forward_subsumption_resolution,[],[f23478,f14146]) ).
thf(f23489,plain,
( ~ spl0_135
| ~ spl0_120
| ~ spl0_7
| ~ spl0_265
| spl0_278 ),
inference(avatar_split_clause,[],[f23488,f12147,f11923,f120,f3341,f3836]) ).
thf(f23490,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_343 ),
inference(constrained_superposition,[],[f16330,f11927]) ).
thf(f23499,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f23490]) ).
thf(f23502,plain,
( $false
| ~ spl0_266
| ~ spl0_284
| ~ spl0_343 ),
inference(forward_subsumption_resolution,[],[f23499,f12175]) ).
thf(f23503,plain,
( ~ spl0_266
| ~ spl0_284
| ~ spl0_343 ),
inference(avatar_contradiction_clause,[],[f23502]) ).
thf(f23541,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f12133,f36]) ).
thf(f23547,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f23541]) ).
thf(f23552,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_72
| ~ spl0_89 ),
inference(constrained_superposition,[],[f21755,f1599]) ).
thf(f23559,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_72
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f23552]) ).
thf(f23644,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_396 ),
inference(constrained_superposition,[],[f23066,f75]) ).
thf(f23649,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_396 ),
inference(duplicate_literal_removal,[],[f23644]) ).
thf(f23650,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f23649]) ).
thf(f23654,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_136
| ~ spl0_396 ),
inference(forward_subsumption_resolution,[],[f23650,f15643]) ).
thf(f23661,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_136
| ~ spl0_396 ),
inference(constrained_superposition,[],[f23654,f175]) ).
thf(f23670,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_136
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f23661]) ).
thf(f23671,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_136
| spl0_148
| ~ spl0_396 ),
inference(forward_subsumption_resolution,[],[f23670,f16327]) ).
thf(f23672,plain,
( ~ spl0_23
| spl0_136
| spl0_148
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f23671,f23065,f4233,f3840,f302]) ).
thf(f23689,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_294
| ~ spl0_379 ),
inference(forward_subsumption_resolution,[],[f21531,f12669]) ).
thf(f23690,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_294
| ~ spl0_303
| ~ spl0_379 ),
inference(constrained_superposition,[],[f23689,f13802]) ).
thf(f23691,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_294
| ~ spl0_303
| ~ spl0_379 ),
inference(trivial_inequality_removal,[],[f23690]) ).
thf(f23692,plain,
( spl0_304
| ~ spl0_294
| ~ spl0_303
| ~ spl0_379 ),
inference(avatar_split_clause,[],[f23691,f21530,f13759,f12668,f13762]) ).
thf(f23699,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f4218,f36]) ).
thf(f23702,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f23699]) ).
thf(f23714,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f23455,f36]) ).
thf(f23721,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f23714]) ).
thf(f23729,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_286 ),
inference(constrained_superposition,[],[f23213,f11927]) ).
thf(f23734,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f23729]) ).
thf(f23738,plain,
( spl0_338
| ~ spl0_266
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f23734,f12181,f11926,f15787]) ).
thf(f23780,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(avatar_component_clause,[],[f12135]) ).
thf(f23784,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_275 ),
inference(constrained_superposition,[],[f23780,f176]) ).
thf(f23785,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f23784]) ).
thf(f23786,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f23785,f27]) ).
thf(f23806,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_275 ),
inference(constrained_superposition,[],[f23203,f23786]) ).
thf(f23822,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_275 ),
inference(trivial_inequality_removal,[],[f23806]) ).
thf(f23840,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_68
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f23822,f3476]) ).
thf(f23843,plain,
( ~ spl0_120
| ~ spl0_1
| spl0_68
| spl0_275 ),
inference(avatar_split_clause,[],[f23840,f12135,f1584,f52,f3341]) ).
thf(f23845,definition,
( spl0_397
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_397])],[avatar_definition]) ).
thf(f23846,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_397 ),
inference(avatar_component_clause,[],[f23845]) ).
thf(f23847,plain,
( spl0_313
| spl0_397
| ~ spl0_50
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f23702,f4217,f701,f23845,f13932]) ).
thf(f23848,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_275
| ~ spl0_286 ),
inference(constrained_superposition,[],[f23213,f12136]) ).
thf(f23850,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_89
| ~ spl0_275 ),
inference(constrained_superposition,[],[f21755,f12136]) ).
thf(f23855,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_275
| ~ spl0_286 ),
inference(duplicate_literal_removal,[],[f23848]) ).
thf(f23856,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_275
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f23855]) ).
thf(f23861,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_89
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f23850]) ).
thf(f23863,plain,
( spl0_369
| ~ spl0_275
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f23856,f12181,f12135,f19838]) ).
thf(f23864,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_89
| ~ spl0_111
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f23861,f3293]) ).
thf(f23865,plain,
( spl0_306
| ~ spl0_89
| ~ spl0_111
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f23864,f12135,f3292,f1964,f13773]) ).
thf(f23867,plain,
( ~ spl0_22
| spl0_203
| ~ spl0_50
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f23721,f439,f701,f7059,f271]) ).
thf(f23871,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_29
| ~ spl0_274
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f23547,f21819]) ).
thf(f23875,plain,
( ~ spl0_22
| ~ spl0_356
| ~ spl0_29
| ~ spl0_274
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f23871,f12214,f12132,f368,f17456,f271]) ).
thf(f23889,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_68
| ~ spl0_143 ),
inference(constrained_superposition,[],[f4025,f1585]) ).
thf(f23894,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_68
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f23889]) ).
thf(f23895,plain,
( $false
| ~ spl0_6
| ~ spl0_68
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f23894,f93]) ).
thf(f23896,plain,
( ~ spl0_6
| ~ spl0_68
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f23895]) ).
thf(f23897,plain,
( ~ spl0_20
| spl0_143
| ~ spl0_72
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f23559,f1964,f1598,f4024,f256]) ).
thf(f23996,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f29,f6942]) ).
thf(f23999,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f23996]) ).
thf(f24066,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_17
| ~ spl0_288 ),
inference(constrained_superposition,[],[f22247,f12190]) ).
thf(f24068,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_288 ),
inference(constrained_superposition,[],[f29,f12190]) ).
thf(f24070,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_17
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f24066]) ).
thf(f24071,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f24068]) ).
thf(f24072,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_17
| ~ spl0_288
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f24070,f13802]) ).
thf(f24073,plain,
( spl0_304
| ~ spl0_17
| ~ spl0_288
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f24072,f13759,f12189,f222,f13762]) ).
thf(f24076,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_164
| ~ spl0_286 ),
inference(constrained_superposition,[],[f5657,f12182]) ).
thf(f24085,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_164
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f24076]) ).
thf(f24086,plain,
( $false
| ~ spl0_148
| ~ spl0_164
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f24085,f4234]) ).
thf(f24087,plain,
( ~ spl0_148
| ~ spl0_164
| ~ spl0_286 ),
inference(avatar_contradiction_clause,[],[f24086]) ).
thf(f24092,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f23360,f174]) ).
thf(f24096,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f23360,f75]) ).
thf(f24097,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f24092]) ).
thf(f24104,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f24096]) ).
thf(f24118,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_89
| ~ spl0_267 ),
inference(constrained_superposition,[],[f21755,f12106]) ).
thf(f24126,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_89
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f24118]) ).
thf(f24128,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_89
| ~ spl0_267
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f24126,f12190]) ).
thf(f24129,plain,
( spl0_302
| ~ spl0_89
| ~ spl0_267
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f24128,f12189,f12105,f1964,f13161]) ).
thf(f24207,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f13774,f11927]) ).
thf(f24212,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f24207]) ).
thf(f24218,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f24212,f176]) ).
thf(f24219,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f24218]) ).
thf(f24220,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f24219,f27]) ).
thf(f24242,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f87,f24220]) ).
thf(f24267,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f24242]) ).
thf(f24284,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_266
| spl0_278
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f24267,f14146]) ).
thf(f24289,plain,
( spl0_171
| ~ spl0_266
| spl0_278
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f24284,f13773,f12147,f11926,f6856]) ).
thf(f24301,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148
| ~ spl0_369 ),
inference(constrained_superposition,[],[f19839,f4234]) ).
thf(f24309,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f24301]) ).
thf(f24311,plain,
( $false
| ~ spl0_89
| ~ spl0_148
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f24309,f1965]) ).
thf(f24312,plain,
( ~ spl0_89
| ~ spl0_148
| ~ spl0_369 ),
inference(avatar_contradiction_clause,[],[f24311]) ).
thf(f24338,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_181
| ~ spl0_293 ),
inference(constrained_superposition,[],[f23999,f12215]) ).
thf(f24341,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_181
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f24338]) ).
thf(f24346,plain,
( spl0_331
| ~ spl0_181
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f24341,f12214,f6941,f15114]) ).
thf(f24377,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_362 ),
inference(constrained_superposition,[],[f19067,f175]) ).
thf(f24385,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_362 ),
inference(trivial_inequality_removal,[],[f24377]) ).
thf(f24389,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_284
| ~ spl0_362 ),
inference(forward_subsumption_resolution,[],[f24385,f14602]) ).
thf(f24391,plain,
( ~ spl0_94
| spl0_284
| ~ spl0_362 ),
inference(avatar_split_clause,[],[f24389,f19066,f12174,f2092]) ).
thf(f24564,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_264
| ~ spl0_357 ),
inference(constrained_superposition,[],[f17668,f11920]) ).
thf(f24572,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f24564]) ).
thf(f24584,plain,
( ~ spl0_285
| spl0_284
| ~ spl0_120
| ~ spl0_264
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f24572,f17667,f11919,f3341,f12174,f12177]) ).
thf(f24618,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_288
| ~ spl0_293 ),
inference(constrained_superposition,[],[f24071,f12215]) ).
thf(f24622,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_288
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f24618]) ).
thf(f24629,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_20
| ~ spl0_288
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f24622,f257]) ).
thf(f24631,plain,
( spl0_44
| ~ spl0_20
| ~ spl0_288
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f24629,f12214,f12189,f256,f566]) ).
thf(f24636,plain,
( spl0_308
| ~ spl0_309
| ~ spl0_17
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f22384,f3292,f222,f13790,f13787]) ).
thf(f24640,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f226,f1292]) ).
thf(f24656,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f24640]) ).
thf(f24664,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_306
| ~ spl0_309 ),
inference(constrained_superposition,[],[f13774,f14427]) ).
thf(f24666,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_309
| ~ spl0_382 ),
inference(constrained_superposition,[],[f21546,f14427]) ).
thf(f24670,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_309
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f24666]) ).
thf(f24671,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_306
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f24664]) ).
thf(f24674,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| spl0_136
| ~ spl0_309
| ~ spl0_382 ),
inference(forward_subsumption_resolution,[],[f24670,f15643]) ).
thf(f24675,plain,
( spl0_308
| spl0_136
| ~ spl0_309
| ~ spl0_382 ),
inference(avatar_split_clause,[],[f24674,f21545,f13790,f3840,f13787]) ).
thf(f24847,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f12196,f174]) ).
thf(f24854,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f24847]) ).
thf(f24861,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| spl0_288
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f24854,f14144]) ).
thf(f24864,definition,
( spl0_398
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_398])],[avatar_definition]) ).
thf(f24865,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_398 ),
inference(avatar_component_clause,[],[f24864]) ).
thf(f24866,plain,
( spl0_398
| ~ spl0_23
| spl0_288
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f24861,f12195,f12189,f302,f24864]) ).
thf(f24869,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f24104,f27]) ).
thf(f24873,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f24869,f27]) ).
thf(f24875,plain,
( spl0_6
| spl0_8
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f24873,f52,f123,f92]) ).
thf(f24919,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_265
| ~ spl0_270 ),
inference(constrained_superposition,[],[f12117,f11924]) ).
thf(f24921,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_265
| ~ spl0_325 ),
inference(constrained_superposition,[],[f14911,f11924]) ).
thf(f24930,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_265 ),
inference(constrained_superposition,[],[f211,f11924]) ).
thf(f24956,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_265
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f24921]) ).
thf(f24961,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_265
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f24919]) ).
thf(f24975,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f24930]) ).
thf(f24982,plain,
( spl0_274
| ~ spl0_265
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f24961,f12116,f11923,f12132]) ).
thf(f25012,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_398 ),
inference(constrained_superposition,[],[f24865,f1292]) ).
thf(f25023,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f25012]) ).
thf(f25027,plain,
( ~ spl0_94
| spl0_267
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f25023,f24864,f12105,f2092]) ).
thf(f25036,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f20758,f27]) ).
thf(f25037,plain,
( ~ spl0_147
| ~ spl0_135
| ~ spl0_265
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f24956,f14910,f11923,f3836,f4222]) ).
thf(f25038,plain,
( ~ spl0_68
| ~ spl0_306
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f24671,f13790,f13773,f1584]) ).
thf(f25045,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f25036,f27]) ).
thf(f25046,plain,
( spl0_181
| ~ spl0_54
| spl0_183
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f25045,f67,f6953,f997,f6941]) ).
thf(f25078,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_68
| ~ spl0_164 ),
inference(constrained_superposition,[],[f5657,f1585]) ).
thf(f25080,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_68
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f25078]) ).
thf(f25085,plain,
( ~ spl0_17
| ~ spl0_68
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f25080,f5656,f1584,f222]) ).
thf(f25088,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f24097,f27]) ).
thf(f25092,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f25088,f27]) ).
thf(f25094,plain,
( spl0_49
| spl0_17
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f25092,f52,f222,f698]) ).
thf(f25167,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(constrained_superposition,[],[f17347,f176]) ).
thf(f25168,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f25167]) ).
thf(f25169,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f25168,f27]) ).
thf(f25170,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(constrained_superposition,[],[f23780,f176]) ).
thf(f25171,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f25170]) ).
thf(f25172,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f25171,f27]) ).
thf(f25181,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_60
| spl0_286 ),
inference(constrained_superposition,[],[f1553,f25169]) ).
thf(f25198,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| spl0_286 ),
inference(trivial_inequality_removal,[],[f25181]) ).
thf(f25220,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_60
| spl0_275
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f25198,f23780]) ).
thf(f25225,plain,
( spl0_353
| ~ spl0_60
| spl0_275
| spl0_286 ),
inference(avatar_split_clause,[],[f25220,f12181,f12135,f1552,f17432]) ).
thf(f25235,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_208
| spl0_275 ),
inference(constrained_superposition,[],[f7086,f25172]) ).
thf(f25263,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208
| spl0_275 ),
inference(trivial_inequality_removal,[],[f25235]) ).
thf(f25279,plain,
( spl0_353
| ~ spl0_208
| spl0_275 ),
inference(avatar_split_clause,[],[f25263,f12135,f7085,f17432]) ).
thf(f25290,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f23846,f75]) ).
thf(f25295,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f25290]) ).
thf(f25300,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_136
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f25295,f15643]) ).
thf(f25303,plain,
( ~ spl0_22
| spl0_136
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f25300,f23845,f3840,f271]) ).
thf(f25307,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f3305,f74]) ).
thf(f25316,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f25307]) ).
thf(f25320,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_58
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f25316,f3477]) ).
thf(f25321,plain,
( ~ spl0_48
| spl0_58
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f25320,f3304,f1545,f694]) ).
thf(f25352,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_164
| ~ spl0_283 ),
inference(constrained_superposition,[],[f5657,f12171]) ).
thf(f25353,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_283
| ~ spl0_303 ),
inference(constrained_superposition,[],[f17956,f12171]) ).
thf(f25355,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_164
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f25352]) ).
thf(f25357,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_283
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f25353]) ).
thf(f25358,plain,
( $false
| ~ spl0_164
| ~ spl0_283
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f25355,f12175]) ).
thf(f25359,plain,
( ~ spl0_164
| ~ spl0_283
| ~ spl0_284 ),
inference(avatar_contradiction_clause,[],[f25358]) ).
thf(f25360,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_68
| ~ spl0_283
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f25357,f1585]) ).
thf(f25361,plain,
( spl0_141
| ~ spl0_68
| ~ spl0_283
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f25360,f13759,f12170,f1584,f4017]) ).
thf(f25438,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f1292,f12806]) ).
thf(f25593,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f25438,f31]) ).
thf(f25610,plain,
( $false
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f25593,f26]) ).
thf(f25611,plain,
~ spl0_295,
inference(avatar_contradiction_clause,[],[f25610]) ).
thf(f25653,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_286
| ~ spl0_316 ),
inference(constrained_superposition,[],[f14710,f12182]) ).
thf(f25656,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_286
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f25653]) ).
thf(f25659,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_61
| ~ spl0_286
| ~ spl0_316 ),
inference(forward_subsumption_resolution,[],[f25656,f1556]) ).
thf(f25660,plain,
( $false
| ~ spl0_61
| ~ spl0_68
| ~ spl0_286
| ~ spl0_316 ),
inference(forward_subsumption_resolution,[],[f25659,f1585]) ).
thf(f25661,plain,
( ~ spl0_61
| ~ spl0_68
| ~ spl0_286
| ~ spl0_316 ),
inference(avatar_contradiction_clause,[],[f25660]) ).
thf(f25678,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_366 ),
inference(constrained_superposition,[],[f19270,f1292]) ).
thf(f25680,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_366 ),
inference(constrained_superposition,[],[f19270,f74]) ).
thf(f25690,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f25680]) ).
thf(f25693,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f25678]) ).
thf(f25738,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f17438,f75]) ).
thf(f25740,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f25738]) ).
thf(f25747,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_136
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f25740,f15643]) ).
thf(f25748,plain,
( ~ spl0_70
| spl0_136
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f25747,f17437,f3840,f1591]) ).
thf(f25758,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f3817,f174]) ).
thf(f25766,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f25758]) ).
thf(f25776,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f6994,f75]) ).
thf(f25782,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f25776]) ).
thf(f25792,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_136
| ~ spl0_246 ),
inference(constrained_superposition,[],[f15643,f8549]) ).
thf(f25798,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_246
| ~ spl0_391 ),
inference(constrained_superposition,[],[f21604,f8549]) ).
thf(f25802,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_136
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f25792]) ).
thf(f25804,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_246
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f25798]) ).
thf(f25807,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_136
| ~ spl0_246
| spl0_309 ),
inference(forward_subsumption_resolution,[],[f25802,f13791]) ).
thf(f25808,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_72
| ~ spl0_246
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f25804,f1599]) ).
thf(f25809,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_136
| ~ spl0_246
| spl0_309 ),
inference(forward_subsumption_resolution,[],[f25807,f27]) ).
thf(f25810,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_20
| ~ spl0_72
| ~ spl0_246
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f25808,f257]) ).
thf(f25811,plain,
( spl0_290
| spl0_136
| ~ spl0_246
| spl0_309 ),
inference(avatar_split_clause,[],[f25809,f13790,f8548,f3840,f12199]) ).
thf(f25812,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_20
| ~ spl0_72
| ~ spl0_246
| spl0_309
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f25810,f13791]) ).
thf(f25813,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_20
| ~ spl0_72
| ~ spl0_246
| spl0_309
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f25812,f27]) ).
thf(f25814,plain,
( spl0_290
| ~ spl0_20
| ~ spl0_72
| ~ spl0_246
| spl0_309
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f25813,f21603,f13790,f8548,f1598,f256,f12199]) ).
thf(f25834,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f3865,f35]) ).
thf(f25841,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f25834]) ).
thf(f25893,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_363 ),
inference(constrained_superposition,[],[f19137,f174]) ).
thf(f25896,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_363 ),
inference(constrained_superposition,[],[f19137,f35]) ).
thf(f25902,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_363 ),
inference(trivial_inequality_removal,[],[f25893]) ).
thf(f25906,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_363 ),
inference(trivial_inequality_removal,[],[f25896]) ).
thf(f25922,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f7056,f174]) ).
thf(f25928,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f25922]) ).
thf(f25949,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_24
| ~ spl0_265 ),
inference(constrained_superposition,[],[f306,f11924]) ).
thf(f25963,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_24
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f25949]) ).
thf(f25969,plain,
( ~ spl0_269
| spl0_111
| ~ spl0_24
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f25963,f11923,f305,f3292,f12112]) ).
thf(f25981,plain,
( spl0_275
| ~ spl0_119
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f25693,f19269,f3330,f12135]) ).
thf(f25982,plain,
( spl0_61
| spl0_74
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f24656,f225,f1606,f1555]) ).
thf(f25984,plain,
( ~ spl0_54
| spl0_145
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f25690,f19269,f4212,f997]) ).
thf(f25985,plain,
( ~ spl0_23
| ~ spl0_94
| spl0_111
| ~ spl0_363 ),
inference(avatar_split_clause,[],[f25902,f19136,f3292,f2092,f302]) ).
thf(f25986,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_265
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f24975,f14144]) ).
thf(f25990,plain,
( ~ spl0_147
| ~ spl0_120
| ~ spl0_14
| ~ spl0_265
| spl0_288 ),
inference(avatar_split_clause,[],[f25986,f12189,f11923,f210,f3341,f4222]) ).
thf(f25992,plain,
( spl0_61
| spl0_113
| ~ spl0_36
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f25928,f7055,f457,f3304,f1555]) ).
thf(f25995,plain,
( ~ spl0_36
| ~ spl0_22
| spl0_68
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f25841,f3864,f1584,f271,f457]) ).
thf(f26000,plain,
( ~ spl0_119
| ~ spl0_22
| spl0_309
| ~ spl0_363 ),
inference(avatar_split_clause,[],[f25906,f19136,f13790,f271,f3330]) ).
thf(f26030,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_61
| ~ spl0_141 ),
inference(constrained_superposition,[],[f4018,f1556]) ).
thf(f26035,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_61
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f26030]) ).
thf(f26058,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_243 ),
inference(constrained_superposition,[],[f8444,f175]) ).
thf(f26067,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f26058]) ).
thf(f26070,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39
| spl0_148 ),
inference(constrained_superposition,[],[f16327,f2935]) ).
thf(f26071,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_39
| spl0_148 ),
inference(trivial_inequality_removal,[],[f26070]) ).
thf(f26072,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_39
| spl0_136
| spl0_148 ),
inference(forward_subsumption_resolution,[],[f26071,f15643]) ).
thf(f26073,plain,
( spl0_111
| spl0_295
| spl0_290
| ~ spl0_39
| spl0_136
| spl0_148 ),
inference(avatar_split_clause,[],[f26072,f4233,f3840,f539,f12199,f12805,f3292]) ).
thf(f26075,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f29,f3293]) ).
thf(f26076,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f26075]) ).
thf(f26121,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_236
| ~ spl0_288 ),
inference(constrained_superposition,[],[f7798,f12190]) ).
thf(f26122,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_288 ),
inference(constrained_superposition,[],[f29,f12190]) ).
thf(f26123,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_236
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f26121]) ).
thf(f26124,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f26122]) ).
thf(f26125,plain,
( ~ spl0_278
| ~ spl0_236
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f26123,f12189,f7797,f12147]) ).
thf(f26146,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_391 ),
inference(constrained_superposition,[],[f21604,f11917]) ).
thf(f26147,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_263 ),
inference(constrained_superposition,[],[f29,f11917]) ).
thf(f26148,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f26146]) ).
thf(f26151,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f26147]) ).
thf(f26152,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_288
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f26148,f12190]) ).
thf(f26153,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_263
| ~ spl0_288
| ~ spl0_391 ),
inference(constrained_superposition,[],[f26152,f176]) ).
thf(f26154,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_263
| ~ spl0_288
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f26153]) ).
thf(f26155,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_288
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f26154,f27]) ).
thf(f26166,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_263
| ~ spl0_288
| ~ spl0_391 ),
inference(constrained_superposition,[],[f432,f26155]) ).
thf(f26168,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_263
| ~ spl0_288
| ~ spl0_391 ),
inference(constrained_superposition,[],[f87,f26155]) ).
thf(f26176,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_263
| ~ spl0_288
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f26166]) ).
thf(f26190,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_288
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f26168]) ).
thf(f26196,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_89
| ~ spl0_263
| ~ spl0_288
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f26176,f5082]) ).
thf(f26197,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_58
| ~ spl0_263
| ~ spl0_288
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f26190,f3477]) ).
thf(f26199,plain,
( spl0_282
| spl0_89
| ~ spl0_263
| ~ spl0_288
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f26196,f21603,f12189,f11916,f1964,f12165]) ).
thf(f26200,plain,
( spl0_270
| spl0_58
| ~ spl0_263
| ~ spl0_288
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f26197,f21603,f12189,f11916,f1545,f12116]) ).
thf(f26206,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f29,f6942]) ).
thf(f26207,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f26206]) ).
thf(f26218,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_288
| ~ spl0_315 ),
inference(constrained_superposition,[],[f14149,f12190]) ).
thf(f26219,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_303
| ~ spl0_315 ),
inference(constrained_superposition,[],[f14149,f13802]) ).
thf(f26222,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_303
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f26219]) ).
thf(f26223,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_288
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f26218]) ).
thf(f26226,plain,
( $false
| ~ spl0_6
| ~ spl0_303
| ~ spl0_315 ),
inference(forward_subsumption_resolution,[],[f26222,f93]) ).
thf(f26227,plain,
( ~ spl0_6
| ~ spl0_303
| ~ spl0_315 ),
inference(avatar_contradiction_clause,[],[f26226]) ).
thf(f26228,plain,
( $false
| ~ spl0_20
| ~ spl0_288
| ~ spl0_315 ),
inference(forward_subsumption_resolution,[],[f26223,f257]) ).
thf(f26229,plain,
( ~ spl0_20
| ~ spl0_288
| ~ spl0_315 ),
inference(avatar_contradiction_clause,[],[f26228]) ).
thf(f26244,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f19839,f11917]) ).
thf(f26249,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f26244]) ).
thf(f26270,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_243 ),
inference(constrained_superposition,[],[f26067,f35]) ).
thf(f26273,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f26270]) ).
thf(f26287,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_6
| ~ spl0_181 ),
inference(constrained_superposition,[],[f26207,f93]) ).
thf(f26290,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_181 ),
inference(duplicate_literal_removal,[],[f26287]) ).
thf(f26291,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_6
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f26290]) ).
thf(f26297,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_263
| ~ spl0_302 ),
inference(constrained_superposition,[],[f13162,f11917]) ).
thf(f26299,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_288
| ~ spl0_302 ),
inference(constrained_superposition,[],[f13162,f12190]) ).
thf(f26301,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_46
| ~ spl0_302 ),
inference(constrained_superposition,[],[f13162,f576]) ).
thf(f26302,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_288
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f26299]) ).
thf(f26305,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f26297]) ).
thf(f26306,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_46
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f26301]) ).
thf(f26307,plain,
( $false
| ~ spl0_61
| ~ spl0_288
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f26302,f1556]) ).
thf(f26308,plain,
( ~ spl0_61
| ~ spl0_288
| ~ spl0_302 ),
inference(avatar_contradiction_clause,[],[f26307]) ).
thf(f26311,plain,
( $false
| ~ spl0_263
| ~ spl0_286
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f26305,f12182]) ).
thf(f26312,plain,
( ~ spl0_263
| ~ spl0_286
| ~ spl0_302 ),
inference(avatar_contradiction_clause,[],[f26311]) ).
thf(f26313,plain,
( $false
| ~ spl0_46
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f26306,f576]) ).
thf(f26314,plain,
( ~ spl0_46
| ~ spl0_302 ),
inference(avatar_contradiction_clause,[],[f26313]) ).
thf(f26404,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f26249,f176]) ).
thf(f26405,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f26404]) ).
thf(f26406,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f26405,f27]) ).
thf(f26419,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f87,f26406]) ).
thf(f26445,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f26419]) ).
thf(f26449,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_58
| ~ spl0_263
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f26445,f3477]) ).
thf(f26450,plain,
( spl0_270
| spl0_58
| ~ spl0_263
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f26449,f19838,f11916,f1545,f12116]) ).
thf(f26452,plain,
( spl0_34
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f26273,f8443,f450]) ).
thf(f26454,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_17
| ~ spl0_44 ),
inference(constrained_superposition,[],[f567,f223]) ).
thf(f26457,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_17
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f26454]) ).
thf(f26460,plain,
( $false
| ~ spl0_6
| ~ spl0_17
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f26457,f93]) ).
thf(f26461,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f26460]) ).
thf(f26488,plain,
( $false
| ~ spl0_46
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f3476,f576]) ).
thf(f26489,plain,
( ~ spl0_46
| spl0_68 ),
inference(avatar_contradiction_clause,[],[f26488]) ).
thf(f26531,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_225 ),
inference(constrained_superposition,[],[f7228,f74]) ).
thf(f26536,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f26531]) ).
thf(f26618,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_111
| ~ spl0_306 ),
inference(constrained_superposition,[],[f13774,f3293]) ).
thf(f26620,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_111
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f26618]) ).
thf(f26624,plain,
( $false
| ~ spl0_61
| ~ spl0_111
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f26620,f1556]) ).
thf(f26625,plain,
( ~ spl0_61
| ~ spl0_111
| ~ spl0_306 ),
inference(avatar_contradiction_clause,[],[f26624]) ).
thf(f26628,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f29,f1585]) ).
thf(f26630,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f26628]) ).
thf(f26636,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f19839,f11917]) ).
thf(f26641,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f26636]) ).
thf(f26645,plain,
( $false
| ~ spl0_263
| ~ spl0_267
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f26641,f12106]) ).
thf(f26646,plain,
( ~ spl0_263
| ~ spl0_267
| ~ spl0_369 ),
inference(avatar_contradiction_clause,[],[f26645]) ).
thf(f26696,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f121,f74]) ).
thf(f26698,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f26696]) ).
thf(f26813,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_286 ),
inference(constrained_superposition,[],[f17347,f176]) ).
thf(f26814,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f26813]) ).
thf(f26815,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f26814,f27]) ).
thf(f26816,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_132
| spl0_286 ),
inference(constrained_superposition,[],[f3817,f26815]) ).
thf(f26817,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_170
| spl0_286 ),
inference(constrained_superposition,[],[f6849,f26815]) ).
thf(f26840,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_170
| spl0_286 ),
inference(trivial_inequality_removal,[],[f26817]) ).
thf(f26849,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_132
| spl0_286 ),
inference(trivial_inequality_removal,[],[f26816]) ).
thf(f26861,plain,
( ~ spl0_135
| ~ spl0_170
| spl0_286 ),
inference(avatar_split_clause,[],[f26840,f12181,f6848,f3836]) ).
thf(f26862,plain,
( ~ spl0_135
| ~ spl0_344
| ~ spl0_132
| spl0_286 ),
inference(avatar_split_clause,[],[f26849,f12181,f3816,f16849,f3836]) ).
thf(f26870,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f29,f12182]) ).
thf(f26874,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f26870]) ).
thf(f26886,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f19839,f11917]) ).
thf(f26890,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f26886]) ).
thf(f26895,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f26890,f176]) ).
thf(f26896,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f26895]) ).
thf(f26897,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f26896,f27]) ).
thf(f26915,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f32,f26897]) ).
thf(f26937,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f26915]) ).
thf(f26948,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_362 ),
inference(constrained_superposition,[],[f19067,f75]) ).
thf(f26951,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_362 ),
inference(trivial_inequality_removal,[],[f26948]) ).
thf(f27051,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f3274,f174]) ).
thf(f27052,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f3274,f74]) ).
thf(f27054,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f3274,f35]) ).
thf(f27059,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f27054]) ).
thf(f27060,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f27052]) ).
thf(f27061,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f27051]) ).
thf(f27088,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_111
| ~ spl0_263 ),
inference(constrained_superposition,[],[f26076,f11917]) ).
thf(f27089,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_111
| ~ spl0_286 ),
inference(constrained_superposition,[],[f26076,f12182]) ).
thf(f27096,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_111
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f27088]) ).
thf(f27097,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_111
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f27089]) ).
thf(f27098,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_111
| ~ spl0_263
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f27096,f12190]) ).
thf(f27099,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_61
| ~ spl0_111
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f27097,f1556]) ).
thf(f27100,plain,
( spl0_301
| ~ spl0_111
| ~ spl0_263
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f27098,f12189,f11916,f3292,f13156]) ).
thf(f27101,plain,
( spl0_164
| ~ spl0_61
| ~ spl0_111
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f27099,f12181,f3292,f1555,f5656]) ).
thf(f27103,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_272 ),
inference(constrained_superposition,[],[f12125,f1292]) ).
thf(f27105,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_272 ),
inference(constrained_superposition,[],[f12125,f74]) ).
thf(f27111,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f27103]) ).
thf(f27114,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f27105]) ).
thf(f27176,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( 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 @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f3323,f1292]) ).
thf(f27178,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f3323,f74]) ).
thf(f27180,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f3323,f35]) ).
thf(f27186,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f27176]) ).
thf(f27188,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f27178]) ).
thf(f27189,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f27180]) ).
thf(f27278,definition,
( spl0_400
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_400])],[avatar_definition]) ).
thf(f27279,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_400 ),
inference(avatar_component_clause,[],[f27278]) ).
thf(f27329,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f26937,f1293]) ).
thf(f27330,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f26937,f175]) ).
thf(f27336,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(duplicate_literal_removal,[],[f27329]) ).
thf(f27337,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f27336]) ).
thf(f27339,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f27330]) ).
thf(f27341,plain,
( spl0_283
| spl0_161
| ~ spl0_263
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f27337,f19838,f11916,f5623,f12170]) ).
thf(f27342,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| spl0_284
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f27339,f14602]) ).
thf(f27343,plain,
( spl0_91
| ~ spl0_263
| spl0_284
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f27342,f19838,f12174,f11916,f1971]) ).
thf(f27348,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f7238,f174]) ).
thf(f27354,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f27348]) ).
thf(f27357,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_275 ),
inference(constrained_superposition,[],[f23780,f176]) ).
thf(f27358,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f27357]) ).
thf(f27359,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f27358,f27]) ).
thf(f27362,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_275
| ~ spl0_347 ),
inference(constrained_superposition,[],[f17196,f27359]) ).
thf(f27372,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_137
| spl0_275 ),
inference(constrained_superposition,[],[f3856,f27359]) ).
thf(f27378,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_7
| spl0_275 ),
inference(constrained_superposition,[],[f26698,f27359]) ).
thf(f27402,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| spl0_275 ),
inference(trivial_inequality_removal,[],[f27378]) ).
thf(f27408,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_137
| spl0_275 ),
inference(trivial_inequality_removal,[],[f27372]) ).
thf(f27414,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| spl0_275
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f27362]) ).
thf(f27418,plain,
( spl0_367
| spl0_275
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f27414,f17195,f12135,f19407]) ).
thf(f27493,definition,
( spl0_401
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_401])],[avatar_definition]) ).
thf(f27494,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_401 ),
inference(avatar_component_clause,[],[f27493]) ).
thf(f27505,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f27354,f36]) ).
thf(f27507,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f27505]) ).
thf(f27509,plain,
( spl0_203
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f27507,f7237,f7059]) ).
thf(f27522,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_263
| ~ spl0_368 ),
inference(constrained_superposition,[],[f19835,f11917]) ).
thf(f27525,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f27522]) ).
thf(f27529,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f27525,f13802]) ).
thf(f27532,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(constrained_superposition,[],[f27529,f176]) ).
thf(f27533,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f27532]) ).
thf(f27534,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f27533,f27]) ).
thf(f27552,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(constrained_superposition,[],[f87,f27534]) ).
thf(f27567,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f27552]) ).
thf(f27585,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_58
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f27567,f3477]) ).
thf(f27588,plain,
( spl0_270
| spl0_58
| ~ spl0_263
| ~ spl0_303
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f27585,f19834,f13759,f11916,f1545,f12116]) ).
thf(f27593,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_266
| ~ spl0_303 ),
inference(constrained_superposition,[],[f17956,f11927]) ).
thf(f27599,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_266
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f27593]) ).
thf(f27607,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_325 ),
inference(constrained_superposition,[],[f14911,f36]) ).
thf(f27608,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f27607]) ).
thf(f27713,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_149
| spl0_275 ),
inference(constrained_superposition,[],[f4242,f27359]) ).
thf(f27725,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_149
| spl0_275 ),
inference(trivial_inequality_removal,[],[f27713]) ).
thf(f27730,plain,
( ~ spl0_70
| ~ spl0_149
| spl0_275 ),
inference(avatar_split_clause,[],[f27725,f12135,f4241,f1591]) ).
thf(f27731,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| spl0_58
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f27402,f3477]) ).
thf(f27732,plain,
( ~ spl0_120
| ~ spl0_135
| ~ spl0_7
| spl0_58
| spl0_275 ),
inference(avatar_split_clause,[],[f27731,f12135,f1545,f120,f3836,f3341]) ).
thf(f27741,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_145
| ~ spl0_343 ),
inference(constrained_superposition,[],[f16330,f4213]) ).
thf(f27742,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_145
| ~ spl0_308 ),
inference(constrained_superposition,[],[f13788,f4213]) ).
thf(f27743,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_145
| ~ spl0_181 ),
inference(constrained_superposition,[],[f26291,f4213]) ).
thf(f27747,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_145
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f27743]) ).
thf(f27748,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_145
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f27742]) ).
thf(f27749,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_145
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f27741]) ).
thf(f27751,plain,
( $false
| ~ spl0_6
| ~ spl0_145
| ~ spl0_181
| ~ spl0_309 ),
inference(forward_subsumption_resolution,[],[f27747,f14427]) ).
thf(f27752,plain,
( ~ spl0_6
| ~ spl0_145
| ~ spl0_181
| ~ spl0_309 ),
inference(avatar_contradiction_clause,[],[f27751]) ).
thf(f27753,plain,
( $false
| ~ spl0_145
| ~ spl0_181
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f27748,f6942]) ).
thf(f27754,plain,
( ~ spl0_145
| ~ spl0_181
| ~ spl0_308 ),
inference(avatar_contradiction_clause,[],[f27753]) ).
thf(f27755,plain,
( $false
| ~ spl0_13
| ~ spl0_145
| ~ spl0_343 ),
inference(forward_subsumption_resolution,[],[f27749,f208]) ).
thf(f27756,plain,
( ~ spl0_13
| ~ spl0_145
| ~ spl0_343 ),
inference(avatar_contradiction_clause,[],[f27755]) ).
thf(f27760,plain,
( spl0_309
| spl0_366
| ~ spl0_50
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f27189,f3322,f701,f19269,f13790]) ).
thf(f27761,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_58
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f26536,f3477]) ).
thf(f27763,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_111 ),
inference(avatar_component_clause,[],[f3292]) ).
thf(f27765,plain,
( ~ spl0_192
| ~ spl0_61
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f26035,f4017,f1555,f7012]) ).
thf(f27768,definition,
( spl0_403
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_403])],[avatar_definition]) ).
thf(f27769,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_403 ),
inference(avatar_component_clause,[],[f27768]) ).
thf(f27771,plain,
( ~ spl0_309
| spl0_308
| ~ spl0_266
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f27599,f13759,f11926,f13787,f13790]) ).
thf(f27778,plain,
( ~ spl0_147
| ~ spl0_120
| ~ spl0_137
| spl0_275 ),
inference(avatar_split_clause,[],[f27408,f12135,f3855,f3341,f4222]) ).
thf(f27779,plain,
( ~ spl0_54
| spl0_58
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f27761,f7227,f1545,f997]) ).
thf(f27877,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_174
| spl0_275 ),
inference(constrained_superposition,[],[f6910,f27359]) ).
thf(f27885,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_174
| spl0_275 ),
inference(trivial_inequality_removal,[],[f27877]) ).
thf(f27889,plain,
( ~ spl0_120
| spl0_366
| ~ spl0_174
| spl0_275 ),
inference(avatar_split_clause,[],[f27885,f12135,f6909,f19269,f3341]) ).
thf(f27904,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_313 ),
inference(constrained_superposition,[],[f29,f13933]) ).
thf(f27905,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f27904]) ).
thf(f27986,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_27
| ~ spl0_266 ),
inference(constrained_superposition,[],[f357,f11927]) ).
thf(f27997,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_27
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f27986]) ).
thf(f28004,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_27
| spl0_136
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f27997,f15643]) ).
thf(f28006,plain,
( $false
| ~ spl0_27
| spl0_136
| ~ spl0_266
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f28004,f12215]) ).
thf(f28007,plain,
( ~ spl0_27
| spl0_136
| ~ spl0_266
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f28006]) ).
thf(f28097,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_91
| spl0_275 ),
inference(constrained_superposition,[],[f1972,f27359]) ).
thf(f28105,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_91
| spl0_275 ),
inference(trivial_inequality_removal,[],[f28097]) ).
thf(f28109,plain,
( ~ spl0_147
| spl0_115
| ~ spl0_91
| spl0_275 ),
inference(avatar_split_clause,[],[f28105,f12135,f1971,f3313,f4222]) ).
thf(f28115,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_115 ),
inference(constrained_superposition,[],[f3314,f35]) ).
thf(f28119,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f28115]) ).
thf(f28130,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_145
| ~ spl0_155 ),
inference(constrained_superposition,[],[f4965,f4213]) ).
thf(f28135,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_145
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f28130]) ).
thf(f28140,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_136
| ~ spl0_145
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f28135,f15643]) ).
thf(f28141,plain,
( $false
| ~ spl0_13
| spl0_136
| ~ spl0_145
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f28140,f208]) ).
thf(f28142,plain,
( ~ spl0_13
| spl0_136
| ~ spl0_145
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[],[f28141]) ).
thf(f28231,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f12117,f1293]) ).
thf(f28234,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f12117,f36]) ).
thf(f28237,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f28231]) ).
thf(f28241,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f28234]) ).
thf(f28258,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f12196,f1292]) ).
thf(f28265,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f28258]) ).
thf(f28273,definition,
( spl0_405
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_405])],[avatar_definition]) ).
thf(f28274,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_405 ),
inference(avatar_component_clause,[],[f28273]) ).
thf(f28275,plain,
( ~ spl0_70
| spl0_267
| spl0_405
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f28265,f12195,f28273,f12105,f1591]) ).
thf(f28354,definition,
( spl0_406
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_406])],[avatar_definition]) ).
thf(f28355,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_406 ),
inference(avatar_component_clause,[],[f28354]) ).
thf(f28438,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_277 ),
inference(constrained_superposition,[],[f12144,f175]) ).
thf(f28443,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f28438]) ).
thf(f28450,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_277
| spl0_284 ),
inference(forward_subsumption_resolution,[],[f28443,f14602]) ).
thf(f28452,definition,
( spl0_407
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_407])],[avatar_definition]) ).
thf(f28453,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_407 ),
inference(avatar_component_clause,[],[f28452]) ).
thf(f28455,plain,
( spl0_335
| ~ spl0_277
| spl0_284 ),
inference(avatar_split_clause,[],[f28450,f12174,f12143,f15357]) ).
thf(f28499,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_365 ),
inference(constrained_superposition,[],[f19266,f174]) ).
thf(f28506,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_365 ),
inference(trivial_inequality_removal,[],[f28499]) ).
thf(f28513,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_111
| ~ spl0_365 ),
inference(forward_subsumption_resolution,[],[f28506,f27763]) ).
thf(f28515,plain,
( ~ spl0_82
| spl0_111
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f28513,f19265,f3292,f1820]) ).
thf(f28548,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_275
| ~ spl0_313 ),
inference(constrained_superposition,[],[f27905,f12136]) ).
thf(f28560,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_275
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f28548]) ).
thf(f28565,plain,
( spl0_368
| ~ spl0_275
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f28560,f13932,f12135,f19834]) ).
thf(f28590,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f13774,f11927]) ).
thf(f28598,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f28590]) ).
thf(f28600,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f28598,f176]) ).
thf(f28601,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f28600]) ).
thf(f28602,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f28601,f27]) ).
thf(f28606,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_170
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f6849,f28602]) ).
thf(f28624,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f1543,f28602]) ).
thf(f28629,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f432,f28602]) ).
thf(f28634,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f50,f28602]) ).
thf(f28650,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_170
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f28606]) ).
thf(f28657,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f28634]) ).
thf(f28665,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(duplicate_literal_removal,[],[f28624]) ).
thf(f28666,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f28665]) ).
thf(f28673,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f28629]) ).
thf(f28678,plain,
( ~ spl0_280
| ~ spl0_170
| ~ spl0_266
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f28650,f13773,f11926,f6848,f12156]) ).
thf(f28681,plain,
( spl0_267
| spl0_161
| ~ spl0_266
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f28666,f13773,f11926,f5623,f12105]) ).
thf(f28684,plain,
( spl0_284
| spl0_118
| ~ spl0_266
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f28673,f13773,f11926,f3326,f12174]) ).
thf(f28685,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| spl0_401 ),
inference(constrained_superposition,[],[f27494,f75]) ).
thf(f28690,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_401 ),
inference(trivial_inequality_removal,[],[f28685]) ).
thf(f28713,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f19839,f11917]) ).
thf(f28721,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f28713]) ).
thf(f28722,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f28721,f176]) ).
thf(f28723,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f28722]) ).
thf(f28724,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f28723,f27]) ).
thf(f28805,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161
| ~ spl0_263
| ~ spl0_369 ),
inference(constrained_superposition,[],[f5624,f28724]) ).
thf(f28816,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161
| ~ spl0_263
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f28805]) ).
thf(f28817,plain,
( spl0_407
| ~ spl0_161
| ~ spl0_263
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f28816,f19838,f11916,f5623,f28452]) ).
thf(f28823,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_407 ),
inference(constrained_superposition,[],[f28453,f175]) ).
thf(f28825,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_407 ),
inference(constrained_superposition,[],[f28453,f36]) ).
thf(f28827,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f28823]) ).
thf(f28829,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f28825]) ).
thf(f28834,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29
| ~ spl0_293
| ~ spl0_407 ),
inference(forward_subsumption_resolution,[],[f28829,f21819]) ).
thf(f28835,plain,
( ~ spl0_84
| ~ spl0_29
| ~ spl0_293
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f28834,f28452,f12214,f368,f1828]) ).
thf(f28837,definition,
( spl0_408
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_408])],[avatar_definition]) ).
thf(f28838,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_408 ),
inference(avatar_component_clause,[],[f28837]) ).
thf(f28841,plain,
( spl0_307
| spl0_202
| ~ spl0_266
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f28657,f13773,f11926,f7055,f13780]) ).
thf(f28844,plain,
( ~ spl0_70
| spl0_293
| ~ spl0_362 ),
inference(avatar_split_clause,[],[f26951,f19066,f12214,f1591]) ).
thf(f28845,plain,
( spl0_293
| spl0_401 ),
inference(avatar_split_clause,[],[f28690,f27493,f12214]) ).
thf(f28847,definition,
( spl0_409
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_409])],[avatar_definition]) ).
thf(f28848,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f28847]) ).
thf(f28849,plain,
( spl0_307
| spl0_409
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f28241,f12116,f28847,f13780]) ).
thf(f28856,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_20
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f25782,f1482]) ).
thf(f28860,plain,
( spl0_307
| ~ spl0_22
| ~ spl0_50
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f27608,f14910,f701,f271,f13780]) ).
thf(f28861,plain,
( spl0_309
| ~ spl0_50
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f28119,f3313,f701,f13790]) ).
thf(f28867,plain,
( spl0_358
| ~ spl0_22
| spl0_20
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f28856,f6993,f256,f271,f17760]) ).
thf(f28869,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(avatar_component_clause,[],[f12105]) ).
thf(f28878,plain,
( spl0_284
| ~ spl0_82
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f28827,f28452,f1820,f12174]) ).
thf(f28934,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| spl0_309 ),
inference(constrained_superposition,[],[f13791,f56]) ).
thf(f28935,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2
| ~ spl0_286 ),
inference(constrained_superposition,[],[f26874,f56]) ).
thf(f28941,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f28935]) ).
thf(f28947,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| spl0_309 ),
inference(trivial_inequality_removal,[],[f28934]) ).
thf(f28949,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_68
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f28941,f26630]) ).
thf(f28950,plain,
( spl0_313
| ~ spl0_2
| spl0_309 ),
inference(avatar_split_clause,[],[f28947,f13790,f55,f13932]) ).
thf(f28951,plain,
( spl0_368
| ~ spl0_2
| ~ spl0_68
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f28949,f12181,f1584,f55,f19834]) ).
thf(f28969,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_263
| ~ spl0_307 ),
inference(constrained_superposition,[],[f26151,f13781]) ).
thf(f28973,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_263
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f28969]) ).
thf(f28977,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_263
| ~ spl0_307
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f28973,f13933]) ).
thf(f28978,plain,
( spl0_308
| ~ spl0_263
| ~ spl0_307
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f28977,f13932,f13780,f11916,f13787]) ).
thf(f28997,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_286 ),
inference(constrained_superposition,[],[f17347,f176]) ).
thf(f28998,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f28997]) ).
thf(f28999,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f28998,f27]) ).
thf(f29000,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(constrained_superposition,[],[f23780,f176]) ).
thf(f29001,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f29000]) ).
thf(f29002,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f29001,f27]) ).
thf(f29005,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_166
| spl0_286 ),
inference(constrained_superposition,[],[f6076,f28999]) ).
thf(f29036,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_166
| spl0_286 ),
inference(trivial_inequality_removal,[],[f29005]) ).
thf(f29058,plain,
( spl0_354
| ~ spl0_281
| ~ spl0_166
| spl0_286 ),
inference(avatar_split_clause,[],[f29036,f12181,f6075,f12161,f17437]) ).
thf(f29078,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_200
| spl0_275 ),
inference(constrained_superposition,[],[f7049,f29002]) ).
thf(f29110,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_200
| spl0_275 ),
inference(trivial_inequality_removal,[],[f29078]) ).
thf(f29124,plain,
( ~ spl0_120
| ~ spl0_200
| spl0_275 ),
inference(avatar_split_clause,[],[f29110,f12135,f7048,f3341]) ).
thf(f29126,plain,
( spl0_139
| spl0_61
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f27061,f3273,f1555,f3864]) ).
thf(f29127,plain,
( spl0_365
| spl0_275
| ~ spl0_94
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f27186,f3322,f2092,f12135,f19265]) ).
thf(f29129,plain,
( ~ spl0_281
| spl0_267
| ~ spl0_94
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f27111,f12124,f2092,f12105,f12161]) ).
thf(f29135,plain,
( ~ spl0_48
| spl0_61
| ~ spl0_23
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f25766,f3816,f302,f1555,f694]) ).
thf(f29159,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_275 ),
inference(constrained_superposition,[],[f7335,f12136]) ).
thf(f29160,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_275 ),
inference(constrained_superposition,[],[f29,f12136]) ).
thf(f29161,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f29159]) ).
thf(f29162,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f29160]) ).
thf(f29173,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_141
| ~ spl0_286 ),
inference(constrained_superposition,[],[f4018,f12182]) ).
thf(f29179,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_141
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f29173]) ).
thf(f29181,plain,
( $false
| ~ spl0_141
| ~ spl0_286
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f29179,f13933]) ).
thf(f29182,plain,
( ~ spl0_141
| ~ spl0_286
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f29181]) ).
thf(f29185,plain,
( spl0_149
| ~ spl0_48
| spl0_145
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f27188,f3322,f4212,f694,f4241]) ).
thf(f29187,plain,
( spl0_283
| spl0_326
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f28237,f12116,f14914,f12170]) ).
thf(f29189,plain,
( ~ spl0_145
| spl0_306
| ~ spl0_72
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f29161,f12135,f1598,f13773,f4212]) ).
thf(f29190,plain,
( spl0_68
| spl0_392
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f27059,f3273,f21842,f1584]) ).
thf(f29192,plain,
( ~ spl0_48
| ~ spl0_135
| spl0_278
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f27114,f12124,f12147,f3836,f694]) ).
thf(f29194,plain,
( spl0_58
| spl0_132
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f27060,f3273,f3816,f1545]) ).
thf(f29201,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_58
| ~ spl0_164 ),
inference(constrained_superposition,[],[f5657,f1546]) ).
thf(f29203,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_58
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f29201]) ).
thf(f29205,plain,
( $false
| ~ spl0_13
| ~ spl0_58
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f29203,f208]) ).
thf(f29206,plain,
( ~ spl0_13
| ~ spl0_58
| ~ spl0_164 ),
inference(avatar_contradiction_clause,[],[f29205]) ).
thf(f29220,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_61 ),
inference(constrained_superposition,[],[f29,f1556]) ).
thf(f29221,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f29220]) ).
thf(f29285,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_286 ),
inference(constrained_superposition,[],[f17347,f176]) ).
thf(f29286,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f29285]) ).
thf(f29287,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f29286,f27]) ).
thf(f29293,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_38
| spl0_286 ),
inference(constrained_superposition,[],[f22774,f29287]) ).
thf(f29300,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_16
| spl0_286 ),
inference(constrained_superposition,[],[f219,f29287]) ).
thf(f29301,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18
| spl0_286 ),
inference(constrained_superposition,[],[f226,f29287]) ).
thf(f29302,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| spl0_286 ),
inference(constrained_superposition,[],[f432,f29287]) ).
thf(f29303,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| spl0_286 ),
inference(constrained_superposition,[],[f114,f29287]) ).
thf(f29305,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| spl0_286 ),
inference(constrained_superposition,[],[f50,f29287]) ).
thf(f29307,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(constrained_superposition,[],[f32,f29287]) ).
thf(f29309,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| spl0_286 ),
inference(constrained_superposition,[],[f11347,f29287]) ).
thf(f29310,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f29303]) ).
thf(f29311,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_16
| spl0_286 ),
inference(trivial_inequality_removal,[],[f29300]) ).
thf(f29314,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| spl0_286 ),
inference(trivial_inequality_removal,[],[f29309]) ).
thf(f29315,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_18
| spl0_286 ),
inference(trivial_inequality_removal,[],[f29301]) ).
thf(f29316,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_38
| spl0_286 ),
inference(trivial_inequality_removal,[],[f29293]) ).
thf(f29317,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f29302]) ).
thf(f29327,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f29305]) ).
thf(f29328,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f29307]) ).
thf(f29343,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_149 ),
inference(constrained_superposition,[],[f4242,f174]) ).
thf(f29350,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f29343]) ).
thf(f29472,plain,
( ~ spl0_285
| ~ spl0_147
| spl0_89
| ~ spl0_38
| spl0_286 ),
inference(avatar_split_clause,[],[f29316,f12181,f501,f1964,f4222,f12177]) ).
thf(f29473,plain,
( spl0_355
| spl0_111
| ~ spl0_18
| spl0_286 ),
inference(avatar_split_clause,[],[f29315,f12181,f225,f3292,f17449]) ).
thf(f29474,plain,
( spl0_111
| ~ spl0_23
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f29350,f4241,f302,f3292]) ).
thf(f29475,plain,
( spl0_118
| spl0_148
| spl0_286 ),
inference(avatar_split_clause,[],[f29317,f12181,f4233,f3326]) ).
thf(f29478,definition,
( spl0_412
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_412])],[avatar_definition]) ).
thf(f29479,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_412 ),
inference(avatar_component_clause,[],[f29478]) ).
thf(f29480,plain,
( spl0_111
| spl0_412
| ~ spl0_16
| spl0_286 ),
inference(avatar_split_clause,[],[f29311,f12181,f218,f29478,f3292]) ).
thf(f29570,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_266
| ~ spl0_308 ),
inference(constrained_superposition,[],[f13788,f11927]) ).
thf(f29579,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f29570]) ).
thf(f29581,plain,
( $false
| ~ spl0_266
| ~ spl0_307
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f29579,f13781]) ).
thf(f29582,plain,
( ~ spl0_266
| ~ spl0_307
| ~ spl0_308 ),
inference(avatar_contradiction_clause,[],[f29581]) ).
thf(f29584,plain,
( spl0_313
| spl0_202
| spl0_286 ),
inference(avatar_split_clause,[],[f29327,f12181,f7055,f13932]) ).
thf(f29598,plain,
( ( $true != $true )
| ~ spl0_11
| spl0_20 ),
inference(constrained_superposition,[],[f1482,f161]) ).
thf(f29603,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_263 ),
inference(constrained_superposition,[],[f26151,f161]) ).
thf(f29610,plain,
( $false
| ~ spl0_11
| spl0_20 ),
inference(trivial_inequality_removal,[],[f29598]) ).
thf(f29611,plain,
( ~ spl0_11
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f29610]) ).
thf(f29612,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f29603]) ).
thf(f29613,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f29612,f161]) ).
thf(f29614,plain,
( spl0_311
| ~ spl0_11
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f29613,f11916,f160,f13806]) ).
thf(f29644,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_309 ),
inference(constrained_superposition,[],[f29,f14427]) ).
thf(f29646,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f29644]) ).
thf(f29649,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f6970,f74]) ).
thf(f29654,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f29649]) ).
thf(f29655,plain,
( spl0_233
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f29654,f6969,f7617]) ).
thf(f29667,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_136 ),
inference(constrained_superposition,[],[f369,f3841]) ).
thf(f29669,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f29667]) ).
thf(f29680,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_156
| ~ spl0_263 ),
inference(constrained_superposition,[],[f26151,f5085]) ).
thf(f29685,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_156
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f29680]) ).
thf(f29687,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_136
| ~ spl0_156
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f29685,f3841]) ).
thf(f29688,plain,
( spl0_311
| ~ spl0_136
| ~ spl0_156
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f29687,f11916,f5084,f3840,f13806]) ).
thf(f29697,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f29,f6942]) ).
thf(f29698,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f29697]) ).
thf(f29699,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f29,f208]) ).
thf(f29700,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f29699]) ).
thf(f29723,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f29,f3293]) ).
thf(f29724,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f29723]) ).
thf(f29795,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_408 ),
inference(constrained_superposition,[],[f28838,f36]) ).
thf(f29796,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f29795]) ).
thf(f29810,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f17438,f36]) ).
thf(f29815,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f29810]) ).
thf(f29848,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_286
| ~ spl0_392 ),
inference(constrained_superposition,[],[f21843,f29287]) ).
thf(f29861,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_286
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f29848]) ).
thf(f29863,plain,
( ~ spl0_356
| ~ spl0_135
| spl0_286
| ~ spl0_392 ),
inference(avatar_split_clause,[],[f29861,f21842,f12181,f3836,f17456]) ).
thf(f29921,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_136
| ~ spl0_181 ),
inference(constrained_superposition,[],[f29698,f3841]) ).
thf(f29922,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_136
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f29921]) ).
thf(f29924,plain,
( spl0_318
| ~ spl0_136
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f29922,f6941,f3840,f14716]) ).
thf(f30035,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_2
| spl0_17 ),
inference(constrained_superposition,[],[f7460,f56]) ).
thf(f30041,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_17 ),
inference(trivial_inequality_removal,[],[f30035]) ).
thf(f30051,plain,
( $false
| ~ spl0_2
| spl0_17
| spl0_192 ),
inference(forward_subsumption_resolution,[],[f30041,f7230]) ).
thf(f30052,plain,
( ~ spl0_2
| spl0_17
| spl0_192 ),
inference(avatar_contradiction_clause,[],[f30051]) ).
thf(f30054,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f53,f35]) ).
thf(f30055,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f30054]) ).
thf(f30085,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_13
| ~ spl0_61 ),
inference(constrained_superposition,[],[f29700,f1556]) ).
thf(f30089,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_13
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f30085]) ).
thf(f30093,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_27
| ~ spl0_263 ),
inference(constrained_superposition,[],[f357,f11917]) ).
thf(f30113,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_27
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f30093]) ).
thf(f30118,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_27
| ~ spl0_136
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f30113,f3841]) ).
thf(f30119,plain,
( spl0_293
| ~ spl0_27
| ~ spl0_136
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f30118,f11916,f3840,f356,f12214]) ).
thf(f30171,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_412 ),
inference(constrained_superposition,[],[f29479,f36]) ).
thf(f30174,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_412 ),
inference(trivial_inequality_removal,[],[f30171]) ).
thf(f30213,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_202
| spl0_286 ),
inference(constrained_superposition,[],[f7056,f29287]) ).
thf(f30215,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f7056,f74]) ).
thf(f30224,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_202
| spl0_286 ),
inference(trivial_inequality_removal,[],[f30213]) ).
thf(f30227,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f30215]) ).
thf(f30233,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f6857,f175]) ).
thf(f30234,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f6857,f75]) ).
thf(f30235,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f6857,f36]) ).
thf(f30236,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_171 ),
inference(duplicate_literal_removal,[],[f30234]) ).
thf(f30237,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f30236]) ).
thf(f30240,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f30235]) ).
thf(f30241,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f30233]) ).
thf(f30246,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_61
| ~ spl0_275 ),
inference(constrained_superposition,[],[f29221,f12136]) ).
thf(f30249,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_61
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f30246]) ).
thf(f30292,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_406 ),
inference(constrained_superposition,[],[f28355,f74]) ).
thf(f30303,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_406 ),
inference(trivial_inequality_removal,[],[f30292]) ).
thf(f30308,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_118 ),
inference(constrained_superposition,[],[f3327,f74]) ).
thf(f30310,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_118 ),
inference(constrained_superposition,[],[f3327,f35]) ).
thf(f30313,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f30308]) ).
thf(f30314,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f30310]) ).
thf(f30323,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_111
| ~ spl0_136 ),
inference(constrained_superposition,[],[f29724,f3841]) ).
thf(f30327,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_111
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f30323]) ).
thf(f30406,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f3290,f174]) ).
thf(f30407,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f3290,f74]) ).
thf(f30415,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f30407]) ).
thf(f30416,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f30406]) ).
thf(f30538,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_263
| ~ spl0_275 ),
inference(constrained_superposition,[],[f29162,f11917]) ).
thf(f30542,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_263
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f30538]) ).
thf(f30552,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_5
| spl0_286 ),
inference(constrained_superposition,[],[f90,f29287]) ).
thf(f30567,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_5
| spl0_286 ),
inference(trivial_inequality_removal,[],[f30552]) ).
thf(f30568,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_5
| spl0_145
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f30567,f13775]) ).
thf(f30569,plain,
( spl0_355
| ~ spl0_5
| spl0_145
| spl0_286 ),
inference(avatar_split_clause,[],[f30568,f12181,f4212,f89,f17449]) ).
thf(f30570,plain,
( spl0_302
| ~ spl0_267
| ~ spl0_263
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f30542,f12135,f11916,f12105,f13161]) ).
thf(f30571,plain,
( spl0_68
| ~ spl0_50
| spl0_225
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f30314,f3326,f7227,f701,f1584]) ).
thf(f30572,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_29
| ~ spl0_136
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f29815,f29669]) ).
thf(f30576,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_29
| ~ spl0_72
| ~ spl0_171 ),
inference(forward_subsumption_resolution,[],[f30240,f7594]) ).
thf(f30577,plain,
( ~ spl0_119
| ~ spl0_29
| ~ spl0_136
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f30572,f17437,f3840,f368,f3330]) ).
thf(f30578,plain,
( spl0_170
| ~ spl0_48
| spl0_58
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f30313,f3326,f1545,f694,f6848]) ).
thf(f30580,plain,
( spl0_170
| spl0_58
| ~ spl0_54
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f30227,f7055,f997,f1545,f6848]) ).
thf(f30582,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_278
| ~ spl0_406 ),
inference(forward_subsumption_resolution,[],[f30303,f14146]) ).
thf(f30585,plain,
( spl0_44
| ~ spl0_20
| ~ spl0_111
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f30327,f3840,f3292,f256,f566]) ).
thf(f30586,plain,
( ~ spl0_58
| spl0_143
| ~ spl0_13
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f30089,f1555,f207,f4024,f1545]) ).
thf(f30587,plain,
( ~ spl0_48
| ~ spl0_70
| spl0_278
| ~ spl0_406 ),
inference(avatar_split_clause,[],[f30582,f28354,f12147,f1591,f694]) ).
thf(f30589,plain,
( $false
| spl0_111
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f27763,f5243]) ).
thf(f30590,plain,
( spl0_111
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f30589]) ).
thf(f30591,plain,
( spl0_89
| spl0_134
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f30241,f6856,f3832,f1964]) ).
thf(f30596,plain,
( spl0_343
| ~ spl0_111
| ~ spl0_61
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f30249,f12135,f1555,f3292,f16329]) ).
thf(f30597,plain,
( spl0_131
| spl0_111
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f30416,f3289,f3292,f3812]) ).
thf(f30617,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_72
| ~ spl0_89 ),
inference(constrained_superposition,[],[f7335,f1965]) ).
thf(f30619,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f30617]) ).
thf(f30625,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_148
| ~ spl0_275 ),
inference(constrained_superposition,[],[f29162,f4234]) ).
thf(f30628,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f29,f4234]) ).
thf(f30629,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_148
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f30625]) ).
thf(f30630,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f30628]) ).
thf(f30633,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_89
| ~ spl0_148
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f30629,f1965]) ).
thf(f30635,plain,
( spl0_164
| ~ spl0_89
| ~ spl0_148
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f30633,f12135,f4233,f1964,f5656]) ).
thf(f30640,definition,
( spl0_413
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_413])],[avatar_definition]) ).
thf(f30641,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_413 ),
inference(avatar_component_clause,[],[f30640]) ).
thf(f30642,plain,
( spl0_145
| spl0_413
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f30415,f3289,f30640,f4212]) ).
thf(f30643,plain,
( ~ spl0_22
| spl0_307
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f29796,f28837,f13780,f271]) ).
thf(f30644,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_29
| ~ spl0_136
| ~ spl0_412 ),
inference(forward_subsumption_resolution,[],[f30174,f29669]) ).
thf(f30646,plain,
( ~ spl0_13
| spl0_164
| ~ spl0_72
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f30619,f1964,f1598,f5656,f207]) ).
thf(f30649,plain,
( ~ spl0_84
| ~ spl0_22
| ~ spl0_29
| ~ spl0_136
| ~ spl0_412 ),
inference(avatar_split_clause,[],[f30644,f29478,f3840,f368,f271,f1828]) ).
thf(f30653,plain,
( spl0_164
| ~ spl0_89
| ~ spl0_148
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f30629,f12135,f4233,f1964,f5656]) ).
thf(f30654,plain,
( spl0_107
| spl0_136
| spl0_286 ),
inference(avatar_split_clause,[],[f29310,f12181,f3840,f3273]) ).
thf(f30662,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f29,f208]) ).
thf(f30663,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f30662]) ).
thf(f30700,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_29
| ~ spl0_156 ),
inference(constrained_superposition,[],[f369,f5085]) ).
thf(f30713,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f30700]) ).
thf(f30722,plain,
( ( $true != $true )
| ~ spl0_29
| ~ spl0_156
| ~ spl0_313 ),
inference(constrained_superposition,[],[f30713,f13933]) ).
thf(f30725,plain,
( $false
| ~ spl0_29
| ~ spl0_156
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f30722]) ).
thf(f30726,plain,
( ~ spl0_29
| ~ spl0_156
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f30725]) ).
thf(f30780,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_293 ),
inference(constrained_superposition,[],[f369,f12215]) ).
thf(f30789,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f30780]) ).
thf(f30851,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(constrained_superposition,[],[f28869,f176]) ).
thf(f30852,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f30851]) ).
thf(f30853,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f30852,f27]) ).
thf(f30862,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_171
| spl0_267 ),
inference(constrained_superposition,[],[f6857,f30853]) ).
thf(f30876,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_171
| spl0_267 ),
inference(trivial_inequality_removal,[],[f30862]) ).
thf(f30896,plain,
( spl0_326
| ~ spl0_171
| spl0_267 ),
inference(avatar_split_clause,[],[f30876,f12105,f6856,f14914]) ).
thf(f30910,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_289 ),
inference(constrained_superposition,[],[f12196,f11920]) ).
thf(f30911,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_194
| ~ spl0_264 ),
inference(constrained_superposition,[],[f7021,f11920]) ).
thf(f30930,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f32,f11920]) ).
thf(f30935,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f30930]) ).
thf(f30942,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_194
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f30911]) ).
thf(f30948,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f30910]) ).
thf(f30959,plain,
( spl0_268
| ~ spl0_135
| ~ spl0_264
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f30948,f12195,f11919,f3836,f12108]) ).
thf(f30963,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_265
| ~ spl0_367 ),
inference(constrained_superposition,[],[f19408,f11924]) ).
thf(f30980,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f50,f11924]) ).
thf(f30992,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f30980]) ).
thf(f31002,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_265
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f30963]) ).
thf(f31009,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_29
| ~ spl0_265
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f30992,f30789]) ).
thf(f31012,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_265
| spl0_267
| ~ spl0_367 ),
inference(forward_subsumption_resolution,[],[f31002,f30853]) ).
thf(f31014,plain,
( ~ spl0_348
| ~ spl0_265
| spl0_267
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f31012,f19407,f12105,f11923,f17199]) ).
thf(f31136,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_268 ),
inference(constrained_superposition,[],[f12109,f1292]) ).
thf(f31139,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_268 ),
inference(constrained_superposition,[],[f12109,f74]) ).
thf(f31150,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f31139]) ).
thf(f31151,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f31136]) ).
thf(f31160,plain,
( spl0_278
| ~ spl0_344
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f31150,f12108,f16849,f12147]) ).
thf(f31161,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_268
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f31151,f29287]) ).
thf(f31163,plain,
( spl0_267
| spl0_279
| ~ spl0_194
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f30942,f11919,f7020,f12150,f12105]) ).
thf(f31165,plain,
( spl0_267
| ~ spl0_268
| spl0_286 ),
inference(avatar_split_clause,[],[f31161,f12181,f12108,f12105]) ).
thf(f31168,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_136 ),
inference(constrained_superposition,[],[f369,f3841]) ).
thf(f31169,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_136
| ~ spl0_322 ),
inference(constrained_superposition,[],[f14745,f3841]) ).
thf(f31170,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_136
| ~ spl0_275 ),
inference(constrained_superposition,[],[f29162,f3841]) ).
thf(f31173,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f29,f3841]) ).
thf(f31175,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_136
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f31170]) ).
thf(f31176,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f31168]) ).
thf(f31177,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_136
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f31169]) ).
thf(f31178,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f31173]) ).
thf(f31181,plain,
( $false
| ~ spl0_29
| ~ spl0_136
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f31176,f13933]) ).
thf(f31182,plain,
( ~ spl0_29
| ~ spl0_136
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f31181]) ).
thf(f31184,definition,
( spl0_414
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_414])],[avatar_definition]) ).
thf(f31185,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_414 ),
inference(avatar_component_clause,[],[f31184]) ).
thf(f31246,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_265
| ~ spl0_413 ),
inference(constrained_superposition,[],[f30641,f11924]) ).
thf(f31254,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_265
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f31246]) ).
thf(f31282,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_264
| ~ spl0_355 ),
inference(constrained_superposition,[],[f17450,f11920]) ).
thf(f31292,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_264
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f31282]) ).
thf(f31309,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_13
| ~ spl0_288 ),
inference(constrained_superposition,[],[f30663,f12190]) ).
thf(f31313,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_13
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f31309]) ).
thf(f31323,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_27
| ~ spl0_267 ),
inference(constrained_superposition,[],[f357,f12106]) ).
thf(f31336,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_27
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f31323]) ).
thf(f31375,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_24
| spl0_286 ),
inference(constrained_superposition,[],[f306,f29287]) ).
thf(f31382,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_24
| spl0_286 ),
inference(trivial_inequality_removal,[],[f31375]) ).
thf(f31495,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_264
| ~ spl0_406 ),
inference(constrained_superposition,[],[f28355,f11920]) ).
thf(f31499,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_406 ),
inference(constrained_superposition,[],[f28355,f35]) ).
thf(f31507,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_406 ),
inference(trivial_inequality_removal,[],[f31495]) ).
thf(f31509,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_406 ),
inference(trivial_inequality_removal,[],[f31499]) ).
thf(f31520,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_29
| ~ spl0_265
| ~ spl0_293 ),
inference(constrained_superposition,[],[f31009,f11924]) ).
thf(f31529,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_29
| ~ spl0_265
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f31520]) ).
thf(f31535,plain,
( spl0_279
| ~ spl0_29
| ~ spl0_265
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f31529,f12214,f11923,f368,f12150]) ).
thf(f31537,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_27
| ~ spl0_72
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f31336,f1599]) ).
thf(f31539,definition,
( spl0_415
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_415])],[avatar_definition]) ).
thf(f31540,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_415 ),
inference(avatar_component_clause,[],[f31539]) ).
thf(f31542,plain,
( ~ spl0_401
| ~ spl0_280
| ~ spl0_265
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f31254,f30640,f11923,f12156,f27493]) ).
thf(f31543,plain,
( spl0_293
| ~ spl0_27
| ~ spl0_72
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f31537,f12105,f1598,f356,f12214]) ).
thf(f31545,plain,
( ~ spl0_6
| ~ spl0_136
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f31177,f14744,f3840,f92]) ).
thf(f31606,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_265
| ~ spl0_408 ),
inference(constrained_superposition,[],[f28838,f11924]) ).
thf(f31617,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_265
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f31606]) ).
thf(f31619,plain,
( ~ spl0_135
| ~ spl0_265
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f31617,f28837,f11923,f3836]) ).
thf(f31624,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29
| ~ spl0_72
| ~ spl0_171 ),
inference(constrained_superposition,[],[f30576,f175]) ).
thf(f31627,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29
| ~ spl0_72
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f31624]) ).
thf(f31636,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f121,f74]) ).
thf(f31638,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f31636]) ).
thf(f31645,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_136
| ~ spl0_316 ),
inference(constrained_superposition,[],[f14710,f3841]) ).
thf(f31648,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f31645]) ).
thf(f31669,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_136
| ~ spl0_368 ),
inference(constrained_superposition,[],[f19835,f3841]) ).
thf(f31673,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_136
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f31669]) ).
thf(f31675,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_72
| ~ spl0_136
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f31673,f1599]) ).
thf(f31676,plain,
( $false
| ~ spl0_6
| ~ spl0_72
| ~ spl0_136
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f31675,f93]) ).
thf(f31677,plain,
( ~ spl0_6
| ~ spl0_72
| ~ spl0_136
| ~ spl0_368 ),
inference(avatar_contradiction_clause,[],[f31676]) ).
thf(f31704,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_264 ),
inference(constrained_superposition,[],[f31638,f11920]) ).
thf(f31722,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_7
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f31704]) ).
thf(f31742,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_415 ),
inference(constrained_superposition,[],[f31540,f74]) ).
thf(f31754,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f31742]) ).
thf(f31755,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_145
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f31754,f13775]) ).
thf(f31758,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_145
| ~ spl0_415 ),
inference(constrained_superposition,[],[f31755,f174]) ).
thf(f31767,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_145
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f31758]) ).
thf(f31772,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_275 ),
inference(constrained_superposition,[],[f31178,f12136]) ).
thf(f31779,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f31772]) ).
thf(f31789,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_136
| ~ spl0_148
| ~ spl0_275 ),
inference(constrained_superposition,[],[f31779,f4234]) ).
thf(f31794,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_136
| ~ spl0_148
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f31789]) ).
thf(f31917,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_148
| ~ spl0_275 ),
inference(constrained_superposition,[],[f30630,f12136]) ).
thf(f31919,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_111
| ~ spl0_148 ),
inference(constrained_superposition,[],[f30630,f3293]) ).
thf(f31921,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_148
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f31917]) ).
thf(f31924,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_111
| ~ spl0_148 ),
inference(duplicate_literal_removal,[],[f31919]) ).
thf(f31925,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_111
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f31924]) ).
thf(f31926,plain,
( spl0_391
| ~ spl0_148
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f31921,f12135,f4233,f21603]) ).
thf(f31927,plain,
( spl0_374
| ~ spl0_111
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f31925,f4233,f3292,f21478]) ).
thf(f31942,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| spl0_286 ),
inference(constrained_superposition,[],[f29328,f175]) ).
thf(f31943,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| spl0_286 ),
inference(constrained_superposition,[],[f29328,f75]) ).
thf(f31944,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(constrained_superposition,[],[f29328,f36]) ).
thf(f31945,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f31942]) ).
thf(f31947,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f31944]) ).
thf(f31948,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f31943]) ).
thf(f31954,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_136
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f31947,f31176]) ).
thf(f31955,plain,
( spl0_209
| ~ spl0_29
| ~ spl0_136
| spl0_286 ),
inference(avatar_split_clause,[],[f31954,f12181,f3840,f368,f7090]) ).
thf(f31960,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f7091,f175]) ).
thf(f31964,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f31960]) ).
thf(f32033,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f17196,f74]) ).
thf(f32043,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f32033]) ).
thf(f32046,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_145
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f32043,f13775]) ).
thf(f32049,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_145
| ~ spl0_347 ),
inference(constrained_superposition,[],[f32046,f174]) ).
thf(f32060,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_145
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f32049]) ).
thf(f32083,definition,
( spl0_416
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_416])],[avatar_definition]) ).
thf(f32084,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f32083]) ).
thf(f32133,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f12117,f75]) ).
thf(f32141,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_270 ),
inference(duplicate_literal_removal,[],[f32133]) ).
thf(f32142,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f32141]) ).
thf(f32171,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(constrained_superposition,[],[f30935,f11924]) ).
thf(f32174,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f30935,f75]) ).
thf(f32178,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f32174]) ).
thf(f32183,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(duplicate_literal_removal,[],[f32171]) ).
thf(f32184,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f32183]) ).
thf(f32186,definition,
( spl0_417
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_417])],[avatar_definition]) ).
thf(f32187,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_417 ),
inference(avatar_component_clause,[],[f32186]) ).
thf(f32193,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_264
| ~ spl0_265
| spl0_286 ),
inference(constrained_superposition,[],[f32184,f29287]) ).
thf(f32197,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(constrained_superposition,[],[f32184,f36]) ).
thf(f32201,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265
| spl0_286 ),
inference(trivial_inequality_removal,[],[f32193]) ).
thf(f32202,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f32197]) ).
thf(f32207,plain,
( spl0_354
| ~ spl0_264
| ~ spl0_265
| spl0_286 ),
inference(avatar_split_clause,[],[f32201,f12181,f11923,f11919,f17437]) ).
thf(f32208,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_29
| ~ spl0_136
| ~ spl0_264
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f32202,f31176]) ).
thf(f32210,plain,
( spl0_397
| ~ spl0_29
| ~ spl0_136
| ~ spl0_264
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f32208,f11923,f11919,f3840,f368,f23845]) ).
thf(f32211,plain,
( spl0_315
| ~ spl0_278
| ~ spl0_13
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f31313,f12189,f207,f12147,f14148]) ).
thf(f32214,definition,
( spl0_418
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_418])],[avatar_definition]) ).
thf(f32215,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_418 ),
inference(avatar_component_clause,[],[f32214]) ).
thf(f32218,definition,
( spl0_419
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_419])],[avatar_definition]) ).
thf(f32219,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_419 ),
inference(avatar_component_clause,[],[f32218]) ).
thf(f32242,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_267 ),
inference(constrained_superposition,[],[f28869,f176]) ).
thf(f32243,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f32242]) ).
thf(f32244,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f32243,f27]) ).
thf(f32252,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267
| ~ spl0_357 ),
inference(constrained_superposition,[],[f17668,f32244]) ).
thf(f32256,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_4
| spl0_267 ),
inference(constrained_superposition,[],[f7415,f32244]) ).
thf(f32268,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_1
| spl0_267 ),
inference(constrained_superposition,[],[f30055,f32244]) ).
thf(f32273,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| spl0_267 ),
inference(constrained_superposition,[],[f11347,f32244]) ).
thf(f32283,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f32252]) ).
thf(f32285,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_4
| spl0_267 ),
inference(trivial_inequality_removal,[],[f32273]) ).
thf(f32293,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_267 ),
inference(trivial_inequality_removal,[],[f32268]) ).
thf(f32300,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| spl0_267 ),
inference(trivial_inequality_removal,[],[f32256]) ).
thf(f32325,plain,
( ~ spl0_48
| ~ spl0_82
| spl0_111
| spl0_145
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f32060,f17195,f4212,f3292,f1820,f694]) ).
thf(f32326,plain,
( spl0_307
| ~ spl0_119
| ~ spl0_84
| ~ spl0_4
| spl0_267 ),
inference(avatar_split_clause,[],[f32300,f12105,f67,f1828,f3330,f13780]) ).
thf(f32328,plain,
( spl0_284
| ~ spl0_82
| ~ spl0_119
| spl0_267
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f32283,f17667,f12105,f3330,f1820,f12174]) ).
thf(f32330,plain,
( ~ spl0_50
| ~ spl0_119
| spl0_303
| ~ spl0_406 ),
inference(avatar_split_clause,[],[f31509,f28354,f13759,f3330,f701]) ).
thf(f32331,plain,
( ~ spl0_349
| spl0_68
| ~ spl0_1
| spl0_267 ),
inference(avatar_split_clause,[],[f32293,f12105,f52,f1584,f17202]) ).
thf(f32332,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_7
| spl0_145
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f31722,f13775]) ).
thf(f32334,plain,
( spl0_89
| ~ spl0_23
| ~ spl0_36
| ~ spl0_29
| ~ spl0_72
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f31627,f6856,f1598,f368,f457,f302,f1964]) ).
thf(f32336,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_264
| spl0_286
| ~ spl0_406 ),
inference(forward_subsumption_resolution,[],[f31507,f29287]) ).
thf(f32342,plain,
( ~ spl0_13
| ~ spl0_89
| ~ spl0_136
| ~ spl0_148
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f31794,f12135,f4233,f3840,f1964,f207]) ).
thf(f32343,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_264
| spl0_267
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f31292,f32244]) ).
thf(f32346,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f32285,f27]) ).
thf(f32347,plain,
( spl0_111
| ~ spl0_48
| ~ spl0_36
| spl0_145
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f31767,f31539,f4212,f457,f694,f3292]) ).
thf(f32349,plain,
( spl0_293
| spl0_408
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f32142,f12116,f28837,f12214]) ).
thf(f32355,definition,
( spl0_422
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_422])],[avatar_definition]) ).
thf(f32356,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_422 ),
inference(avatar_component_clause,[],[f32355]) ).
thf(f32357,plain,
( spl0_422
| spl0_293
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f32178,f11919,f12214,f32355]) ).
thf(f32358,plain,
( ~ spl0_349
| ~ spl0_280
| ~ spl0_7
| spl0_145
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f32332,f11919,f4212,f120,f12156,f17202]) ).
thf(f32359,plain,
( ~ spl0_147
| ~ spl0_264
| spl0_286
| ~ spl0_406 ),
inference(avatar_split_clause,[],[f32336,f28354,f12181,f11919,f4222]) ).
thf(f32360,plain,
( ~ spl0_349
| ~ spl0_264
| spl0_267
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f32343,f17449,f12105,f11919,f17202]) ).
thf(f32361,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_29
| ~ spl0_72
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f32346,f7594]) ).
thf(f32362,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_29
| ~ spl0_72
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f32361,f27]) ).
thf(f32363,plain,
( spl0_307
| ~ spl0_119
| ~ spl0_4
| ~ spl0_29
| ~ spl0_72
| spl0_267 ),
inference(avatar_split_clause,[],[f32362,f12105,f1598,f368,f67,f3330,f13780]) ).
thf(f32365,plain,
( spl0_148
| spl0_167
| spl0_286 ),
inference(avatar_split_clause,[],[f31945,f12181,f6079,f4233]) ).
thf(f32415,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_148
| ~ spl0_309 ),
inference(constrained_superposition,[],[f29646,f4234]) ).
thf(f32424,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_148
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f32415]) ).
thf(f32480,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_263
| ~ spl0_374 ),
inference(constrained_superposition,[],[f21479,f11917]) ).
thf(f32487,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_263
| ~ spl0_374 ),
inference(trivial_inequality_removal,[],[f32480]) ).
thf(f32492,plain,
( $false
| ~ spl0_263
| ~ spl0_288
| ~ spl0_374 ),
inference(forward_subsumption_resolution,[],[f32487,f12190]) ).
thf(f32493,plain,
( ~ spl0_263
| ~ spl0_288
| ~ spl0_374 ),
inference(avatar_contradiction_clause,[],[f32492]) ).
thf(f32494,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_308 ),
inference(constrained_superposition,[],[f13788,f11927]) ).
thf(f32497,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_266
| ~ spl0_288 ),
inference(constrained_superposition,[],[f26124,f11927]) ).
thf(f32500,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_266
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f32497]) ).
thf(f32503,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f32494]) ).
thf(f32509,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_263
| ~ spl0_315 ),
inference(constrained_superposition,[],[f14149,f11917]) ).
thf(f32513,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f32509]) ).
thf(f32517,plain,
( $false
| ~ spl0_136
| ~ spl0_263
| ~ spl0_315 ),
inference(forward_subsumption_resolution,[],[f32513,f3841]) ).
thf(f32518,plain,
( ~ spl0_136
| ~ spl0_263
| ~ spl0_315 ),
inference(avatar_contradiction_clause,[],[f32517]) ).
thf(f32659,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_400 ),
inference(constrained_superposition,[],[f27279,f35]) ).
thf(f32664,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f32659]) ).
thf(f32705,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208
| spl0_267 ),
inference(constrained_superposition,[],[f7086,f32244]) ).
thf(f32714,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_208
| spl0_267 ),
inference(trivial_inequality_removal,[],[f32705]) ).
thf(f32719,plain,
( spl0_335
| ~ spl0_208
| spl0_267 ),
inference(avatar_split_clause,[],[f32714,f12105,f7085,f15357]) ).
thf(f32727,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f3856,f75]) ).
thf(f32732,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f32727]) ).
thf(f32743,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f15358,f36]) ).
thf(f32749,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f32743]) ).
thf(f32784,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f32219,f36]) ).
thf(f32788,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f32784]) ).
thf(f32886,definition,
( spl0_424
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_424])],[avatar_definition]) ).
thf(f32887,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_424 ),
inference(avatar_component_clause,[],[f32886]) ).
thf(f32893,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_267
| ~ spl0_424 ),
inference(constrained_superposition,[],[f32887,f32244]) ).
thf(f32897,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_267
| ~ spl0_424 ),
inference(trivial_inequality_removal,[],[f32893]) ).
thf(f32905,plain,
( ~ spl0_352
| spl0_267
| ~ spl0_424 ),
inference(avatar_split_clause,[],[f32897,f32886,f12105,f17227]) ).
thf(f32980,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_174
| spl0_267 ),
inference(constrained_superposition,[],[f6910,f32244]) ).
thf(f32990,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_174
| spl0_267 ),
inference(trivial_inequality_removal,[],[f32980]) ).
thf(f32992,plain,
( ~ spl0_349
| spl0_327
| ~ spl0_174
| spl0_267 ),
inference(avatar_split_clause,[],[f32990,f12105,f6909,f15010,f17202]) ).
thf(f32994,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_327 ),
inference(constrained_superposition,[],[f15011,f1292]) ).
thf(f33006,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f32994]) ).
thf(f33016,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_91 ),
inference(constrained_superposition,[],[f1972,f36]) ).
thf(f33021,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f33016]) ).
thf(f33043,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_2
| spl0_303 ),
inference(constrained_superposition,[],[f13760,f56]) ).
thf(f33069,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_2
| spl0_303 ),
inference(trivial_inequality_removal,[],[f33043]) ).
thf(f33071,plain,
( $false
| ~ spl0_2
| ~ spl0_266
| spl0_303
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f33069,f32503]) ).
thf(f33072,plain,
( ~ spl0_2
| ~ spl0_266
| spl0_303
| ~ spl0_308 ),
inference(avatar_contradiction_clause,[],[f33071]) ).
thf(f33076,plain,
( ~ spl0_17
| spl0_95
| ~ spl0_148
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f32424,f13790,f4233,f2306,f222]) ).
thf(f33079,definition,
( spl0_425
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_425])],[avatar_definition]) ).
thf(f33080,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_425 ),
inference(avatar_component_clause,[],[f33079]) ).
thf(f33084,plain,
( spl0_267
| ~ spl0_119
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f33006,f15010,f3330,f12105]) ).
thf(f33155,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f53,f35]) ).
thf(f33157,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f33155]) ).
thf(f33189,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_425 ),
inference(constrained_superposition,[],[f33080,f36]) ).
thf(f33191,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_425 ),
inference(trivial_inequality_removal,[],[f33189]) ).
thf(f33241,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_264
| ~ spl0_414 ),
inference(constrained_superposition,[],[f31185,f11920]) ).
thf(f33249,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_264 ),
inference(constrained_superposition,[],[f7415,f11920]) ).
thf(f33259,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_16
| ~ spl0_264 ),
inference(constrained_superposition,[],[f219,f11920]) ).
thf(f33263,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_264 ),
inference(constrained_superposition,[],[f33157,f11920]) ).
thf(f33265,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f43,f11920]) ).
thf(f33268,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_264 ),
inference(constrained_superposition,[],[f11347,f11920]) ).
thf(f33270,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_264
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f33241]) ).
thf(f33271,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f33265]) ).
thf(f33273,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f33268]) ).
thf(f33281,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f33249]) ).
thf(f33282,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f33263]) ).
thf(f33289,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f33259]) ).
thf(f33298,plain,
( spl0_279
| ~ spl0_264
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f33270,f31184,f11919,f12150]) ).
thf(f33300,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_16
| spl0_111
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f33289,f27763]) ).
thf(f33303,plain,
( spl0_274
| ~ spl0_16
| spl0_111
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f33300,f11919,f3292,f218,f12132]) ).
thf(f33316,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f13774,f11927]) ).
thf(f33322,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f33316]) ).
thf(f33323,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f33322,f176]) ).
thf(f33324,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f33323]) ).
thf(f33325,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f33324,f27]) ).
thf(f33346,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f33157,f33325]) ).
thf(f33360,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f33346]) ).
thf(f33382,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_266
| spl0_303
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f33360,f13760]) ).
thf(f33389,plain,
( ~ spl0_119
| ~ spl0_1
| ~ spl0_266
| spl0_303
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f33382,f13773,f13759,f11926,f52,f3330]) ).
thf(f33395,definition,
( spl0_426
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_426])],[avatar_definition]) ).
thf(f33396,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_426 ),
inference(avatar_component_clause,[],[f33395]) ).
thf(f33398,plain,
( ~ spl0_50
| spl0_227
| spl0_195
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f33021,f1971,f7023,f7237,f701]) ).
thf(f33399,plain,
( spl0_195
| ~ spl0_50
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f33191,f33079,f701,f7023]) ).
thf(f33405,plain,
( ~ spl0_120
| spl0_307
| ~ spl0_356
| ~ spl0_4
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f33281,f11919,f67,f17456,f13780,f3341]) ).
thf(f33407,plain,
( spl0_309
| ~ spl0_349
| ~ spl0_1
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f33282,f11919,f52,f17202,f13790]) ).
thf(f33410,definition,
( spl0_427
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_427])],[avatar_definition]) ).
thf(f33411,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_427 ),
inference(avatar_component_clause,[],[f33410]) ).
thf(f33412,plain,
( spl0_427
| spl0_195
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f30240,f6856,f7023,f33410]) ).
thf(f33415,plain,
( spl0_227
| spl0_313
| ~ spl0_50
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f32788,f32218,f701,f13932,f7237]) ).
thf(f33420,plain,
( spl0_227
| spl0_89
| ~ spl0_50
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f31964,f7090,f701,f1964,f7237]) ).
thf(f33421,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f33273,f27]) ).
thf(f33426,plain,
( spl0_395
| spl0_309
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f33271,f11919,f13790,f22125]) ).
thf(f33427,plain,
( spl0_354
| ~ spl0_120
| ~ spl0_202
| spl0_286 ),
inference(avatar_split_clause,[],[f30224,f12181,f7055,f3341,f17437]) ).
thf(f33429,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f29314,f27]) ).
thf(f33432,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_195 ),
inference(avatar_component_clause,[],[f7023]) ).
thf(f33436,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_313 ),
inference(avatar_component_clause,[],[f13932]) ).
thf(f33440,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f33421,f27]) ).
thf(f33442,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f33429,f27]) ).
thf(f33448,plain,
( spl0_313
| ~ spl0_120
| spl0_307
| ~ spl0_4
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f33440,f11919,f67,f13780,f3341,f13932]) ).
thf(f33449,plain,
( ~ spl0_120
| spl0_313
| spl0_195
| ~ spl0_4
| spl0_286 ),
inference(avatar_split_clause,[],[f33442,f12181,f67,f7023,f13932,f3341]) ).
thf(f33462,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_72
| ~ spl0_195 ),
inference(constrained_superposition,[],[f7335,f7024]) ).
thf(f33468,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f33462]) ).
thf(f33470,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_181
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f33468,f6942]) ).
thf(f33472,plain,
( spl0_141
| ~ spl0_72
| ~ spl0_181
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f33470,f7023,f6941,f1598,f4017]) ).
thf(f33473,plain,
( spl0_209
| spl0_313
| spl0_286 ),
inference(avatar_split_clause,[],[f31947,f12181,f13932,f7090]) ).
thf(f33476,plain,
( ~ spl0_84
| spl0_309
| ~ spl0_36
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f32664,f27278,f457,f13790,f1828]) ).
thf(f33486,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_68
| ~ spl0_379 ),
inference(constrained_superposition,[],[f21531,f1585]) ).
thf(f33492,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_68
| ~ spl0_379 ),
inference(trivial_inequality_removal,[],[f33486]) ).
thf(f33508,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_275
| ~ spl0_313 ),
inference(constrained_superposition,[],[f29162,f13933]) ).
thf(f33509,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_136
| ~ spl0_275
| ~ spl0_313 ),
inference(constrained_superposition,[],[f31779,f13933]) ).
thf(f33514,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_275
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f33508]) ).
thf(f33515,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_136
| ~ spl0_275
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f33509]) ).
thf(f33517,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_309 ),
inference(constrained_superposition,[],[f31178,f14427]) ).
thf(f33518,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_309
| ~ spl0_379 ),
inference(constrained_superposition,[],[f21531,f14427]) ).
thf(f33520,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_309 ),
inference(constrained_superposition,[],[f29,f14427]) ).
thf(f33521,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_136
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f33517]) ).
thf(f33522,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f33520]) ).
thf(f33524,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_309
| ~ spl0_379 ),
inference(trivial_inequality_removal,[],[f33518]) ).
thf(f33525,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| spl0_145
| ~ spl0_309
| ~ spl0_379 ),
inference(forward_subsumption_resolution,[],[f33524,f13775]) ).
thf(f33526,plain,
( spl0_308
| spl0_145
| ~ spl0_309
| ~ spl0_379 ),
inference(avatar_split_clause,[],[f33525,f21530,f13790,f4212,f13787]) ).
thf(f33569,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f29,f5085]) ).
thf(f33572,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f33569]) ).
thf(f33602,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f544,f36]) ).
thf(f33606,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f33602]) ).
thf(f33633,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_275
| ~ spl0_308 ),
inference(constrained_superposition,[],[f13788,f12136]) ).
thf(f33639,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_275
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f33633]) ).
thf(f33655,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(constrained_superposition,[],[f28869,f176]) ).
thf(f33656,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f33655]) ).
thf(f33657,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f33656,f27]) ).
thf(f33658,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| spl0_267
| ~ spl0_414 ),
inference(constrained_superposition,[],[f31185,f33657]) ).
thf(f33676,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| spl0_267 ),
inference(constrained_superposition,[],[f32,f33657]) ).
thf(f33678,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| spl0_267 ),
inference(constrained_superposition,[],[f11347,f33657]) ).
thf(f33681,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f33676]) ).
thf(f33682,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_4
| spl0_267 ),
inference(trivial_inequality_removal,[],[f33678]) ).
thf(f33691,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_267
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f33658]) ).
thf(f33749,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_408 ),
inference(constrained_superposition,[],[f28838,f1293]) ).
thf(f33750,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_408 ),
inference(constrained_superposition,[],[f28838,f175]) ).
thf(f33757,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f33750]) ).
thf(f33759,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f33749]) ).
thf(f33773,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_264
| ~ spl0_354 ),
inference(constrained_superposition,[],[f17438,f11920]) ).
thf(f33785,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f33773]) ).
thf(f33788,plain,
( ~ spl0_348
| ~ spl0_264
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f33785,f17437,f11919,f17199]) ).
thf(f33986,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_422 ),
inference(constrained_superposition,[],[f32356,f1293]) ).
thf(f33996,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f33986]) ).
thf(f34022,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_273 ),
inference(constrained_superposition,[],[f12129,f1293]) ).
thf(f34032,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_273 ),
inference(trivial_inequality_removal,[],[f34022]) ).
thf(f34063,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f6080,f36]) ).
thf(f34070,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f34063]) ).
thf(f34076,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_167
| spl0_195 ),
inference(forward_subsumption_resolution,[],[f34070,f33432]) ).
thf(f34077,plain,
( spl0_243
| ~ spl0_36
| ~ spl0_167
| spl0_195 ),
inference(avatar_split_clause,[],[f34076,f7023,f6079,f457,f8443]) ).
thf(f34146,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_156
| ~ spl0_278 ),
inference(constrained_superposition,[],[f33572,f12148]) ).
thf(f34154,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_156
| ~ spl0_278 ),
inference(duplicate_literal_removal,[],[f34146]) ).
thf(f34155,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_156
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f34154]) ).
thf(f34166,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_14
| spl0_286 ),
inference(constrained_superposition,[],[f211,f29287]) ).
thf(f34178,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_14
| spl0_286 ),
inference(trivial_inequality_removal,[],[f34166]) ).
thf(f34185,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_264
| ~ spl0_417 ),
inference(constrained_superposition,[],[f32187,f11920]) ).
thf(f34194,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_264
| ~ spl0_417 ),
inference(trivial_inequality_removal,[],[f34185]) ).
thf(f34200,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_264
| spl0_267
| ~ spl0_417 ),
inference(forward_subsumption_resolution,[],[f34194,f33657]) ).
thf(f34201,plain,
( spl0_405
| ~ spl0_264
| spl0_267
| ~ spl0_417 ),
inference(avatar_split_clause,[],[f34200,f32186,f12105,f11919,f28273]) ).
thf(f34208,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_405 ),
inference(constrained_superposition,[],[f28274,f35]) ).
thf(f34217,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f34208]) ).
thf(f34248,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_395 ),
inference(constrained_superposition,[],[f22126,f1293]) ).
thf(f34250,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_395 ),
inference(constrained_superposition,[],[f22126,f75]) ).
thf(f34251,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_395 ),
inference(constrained_superposition,[],[f22126,f36]) ).
thf(f34253,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_395 ),
inference(duplicate_literal_removal,[],[f34251]) ).
thf(f34254,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_395 ),
inference(trivial_inequality_removal,[],[f34253]) ).
thf(f34256,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_395 ),
inference(trivial_inequality_removal,[],[f34250]) ).
thf(f34257,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_395 ),
inference(trivial_inequality_removal,[],[f34248]) ).
thf(f34278,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| spl0_267 ),
inference(constrained_superposition,[],[f33681,f1293]) ).
thf(f34280,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_267 ),
inference(constrained_superposition,[],[f33681,f75]) ).
thf(f34281,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_267 ),
inference(constrained_superposition,[],[f33681,f36]) ).
thf(f34282,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_267 ),
inference(duplicate_literal_removal,[],[f34278]) ).
thf(f34283,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f34282]) ).
thf(f34284,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f34280]) ).
thf(f34285,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f34281]) ).
thf(f34290,plain,
( spl0_161
| spl0_283
| spl0_267 ),
inference(avatar_split_clause,[],[f34283,f12105,f12170,f5623]) ).
thf(f34295,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161
| spl0_267 ),
inference(constrained_superposition,[],[f5624,f33657]) ).
thf(f34298,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161 ),
inference(constrained_superposition,[],[f5624,f36]) ).
thf(f34304,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f34298]) ).
thf(f34305,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_161
| spl0_267 ),
inference(trivial_inequality_removal,[],[f34295]) ).
thf(f34307,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161
| spl0_195 ),
inference(forward_subsumption_resolution,[],[f34304,f33432]) ).
thf(f34308,plain,
( spl0_407
| ~ spl0_161
| spl0_267 ),
inference(avatar_split_clause,[],[f34305,f12105,f5623,f28452]) ).
thf(f34309,plain,
( spl0_200
| ~ spl0_161
| spl0_195 ),
inference(avatar_split_clause,[],[f34307,f7023,f5623,f7048]) ).
thf(f34311,plain,
( spl0_141
| ~ spl0_195
| ~ spl0_275
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f33514,f13932,f12135,f7023,f4017]) ).
thf(f34312,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_286
| ~ spl0_422 ),
inference(forward_subsumption_resolution,[],[f33996,f17347]) ).
thf(f34313,plain,
( spl0_283
| ~ spl0_70
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f33759,f28837,f1591,f12170]) ).
thf(f34317,definition,
( spl0_431
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_431])],[avatar_definition]) ).
thf(f34318,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_431 ),
inference(avatar_component_clause,[],[f34317]) ).
thf(f34324,plain,
( spl0_58
| spl0_141
| ~ spl0_68
| ~ spl0_379 ),
inference(avatar_split_clause,[],[f33492,f21530,f1584,f4017,f1545]) ).
thf(f34326,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_136
| ~ spl0_181
| ~ spl0_275
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f33515,f6942]) ).
thf(f34327,plain,
( spl0_328
| ~ spl0_156
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f34155,f12147,f5084,f15088]) ).
thf(f34328,plain,
( ~ spl0_23
| spl0_284
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f33757,f28837,f12174,f302]) ).
thf(f34329,plain,
( spl0_426
| spl0_267
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f33691,f31184,f12105,f33395]) ).
thf(f34331,plain,
( spl0_343
| ~ spl0_111
| ~ spl0_266
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f32500,f12189,f11926,f3292,f16329]) ).
thf(f34332,plain,
( ~ spl0_195
| ~ spl0_275
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f33639,f13787,f12135,f7023]) ).
thf(f34333,plain,
( ~ spl0_70
| spl0_170
| spl0_286
| ~ spl0_422 ),
inference(avatar_split_clause,[],[f34312,f32355,f12181,f6848,f1591]) ).
thf(f34334,plain,
( ~ spl0_195
| ~ spl0_136
| ~ spl0_181
| ~ spl0_275
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f34326,f13932,f12135,f6941,f3840,f7023]) ).
thf(f34335,plain,
( spl0_416
| spl0_283
| ~ spl0_395 ),
inference(avatar_split_clause,[],[f34257,f22125,f12170,f32083]) ).
thf(f34340,plain,
( ~ spl0_84
| spl0_303
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f34217,f28273,f13759,f1828]) ).
thf(f34342,plain,
( spl0_307
| spl0_174
| spl0_267 ),
inference(avatar_split_clause,[],[f34285,f12105,f6909,f13780]) ).
thf(f34347,plain,
( spl0_409
| spl0_293
| ~ spl0_395 ),
inference(avatar_split_clause,[],[f34256,f22125,f12214,f28847]) ).
thf(f34348,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f33682,f27]) ).
thf(f34349,plain,
( spl0_87
| spl0_293
| spl0_267 ),
inference(avatar_split_clause,[],[f34284,f12105,f12214,f1948]) ).
thf(f34351,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_273
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f34032,f29287]) ).
thf(f34352,plain,
( ~ spl0_22
| spl0_192
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f33606,f543,f7012,f271]) ).
thf(f34354,definition,
( spl0_433
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_433])],[avatar_definition]) ).
thf(f34355,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_433 ),
inference(avatar_component_clause,[],[f34354]) ).
thf(f34356,plain,
( spl0_307
| spl0_433
| ~ spl0_395 ),
inference(avatar_split_clause,[],[f34254,f22125,f34354,f13780]) ).
thf(f34357,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_4
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f34348,f27]) ).
thf(f34358,plain,
( ~ spl0_119
| spl0_283
| ~ spl0_273
| spl0_286 ),
inference(avatar_split_clause,[],[f34351,f12181,f12128,f12170,f3330]) ).
thf(f34359,plain,
( spl0_195
| spl0_307
| ~ spl0_119
| ~ spl0_4
| spl0_267 ),
inference(avatar_split_clause,[],[f34357,f12105,f67,f3330,f13780,f7023]) ).
thf(f34390,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_370
| ~ spl0_376 ),
inference(constrained_superposition,[],[f21516,f20562]) ).
thf(f34400,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_370
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f34390]) ).
thf(f34408,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_370
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f34400,f20562]) ).
thf(f34412,plain,
( $false
| ~ spl0_192
| ~ spl0_370
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f34408,f7013]) ).
thf(f34413,plain,
( ~ spl0_192
| ~ spl0_370
| ~ spl0_376 ),
inference(avatar_contradiction_clause,[],[f34412]) ).
thf(f34455,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_89
| ~ spl0_95 ),
inference(constrained_superposition,[],[f2307,f1965]) ).
thf(f34458,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_89
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f34455]) ).
thf(f34459,plain,
( $false
| ~ spl0_89
| ~ spl0_95
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f34458,f7024]) ).
thf(f34460,plain,
( ~ spl0_89
| ~ spl0_95
| ~ spl0_195 ),
inference(avatar_contradiction_clause,[],[f34459]) ).
thf(f34463,plain,
( ~ spl0_84
| spl0_307
| ~ spl0_50
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f32749,f15357,f701,f13780,f1828]) ).
thf(f34464,plain,
( ~ spl0_54
| spl0_72
| ~ spl0_48
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f32732,f3855,f694,f1598,f997]) ).
thf(f34469,definition,
( spl0_434
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_434])],[avatar_definition]) ).
thf(f34470,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_434 ),
inference(avatar_component_clause,[],[f34469]) ).
thf(f34471,plain,
( spl0_434
| spl0_72
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f30237,f6856,f1598,f34469]) ).
thf(f34476,plain,
( spl0_143
| ~ spl0_72
| ~ spl0_136
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f31175,f12135,f3840,f1598,f4024]) ).
thf(f34477,plain,
( ~ spl0_6
| ~ spl0_20
| ~ spl0_136
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f31648,f14709,f3840,f256,f92]) ).
thf(f34489,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_13
| ~ spl0_221 ),
inference(constrained_superposition,[],[f568,f7151]) ).
thf(f34495,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ z ) )
| spl0_13
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f34489]) ).
thf(f34496,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_13
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f34495,f27]) ).
thf(f34497,plain,
( spl0_17
| spl0_13
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f34496,f7150,f207,f222]) ).
thf(f34555,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_288
| ~ spl0_307 ),
inference(constrained_superposition,[],[f26124,f13781]) ).
thf(f34559,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_288
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f34555]) ).
thf(f34560,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_303
| ~ spl0_382 ),
inference(constrained_superposition,[],[f21546,f13802]) ).
thf(f34563,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_303
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f34560]) ).
thf(f34564,plain,
( spl0_293
| spl0_304
| ~ spl0_303
| ~ spl0_382 ),
inference(avatar_split_clause,[],[f34563,f21545,f13759,f13762,f12214]) ).
thf(f34613,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_267
| ~ spl0_434 ),
inference(constrained_superposition,[],[f34470,f33657]) ).
thf(f34614,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_434 ),
inference(constrained_superposition,[],[f34470,f175]) ).
thf(f34618,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f34614]) ).
thf(f34622,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_267
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f34613]) ).
thf(f34638,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_309
| ~ spl0_311 ),
inference(constrained_superposition,[],[f13807,f14427]) ).
thf(f34641,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_309
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f34638]) ).
thf(f34642,plain,
( $false
| ~ spl0_6
| ~ spl0_309
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[],[f34641,f93]) ).
thf(f34643,plain,
( ~ spl0_6
| ~ spl0_309
| ~ spl0_311 ),
inference(avatar_contradiction_clause,[],[f34642]) ).
thf(f34671,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_283
| ~ spl0_288 ),
inference(constrained_superposition,[],[f26124,f12171]) ).
thf(f34676,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_283
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f34671]) ).
thf(f34698,plain,
( spl0_318
| ~ spl0_136
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f33521,f13790,f3840,f14716]) ).
thf(f34701,plain,
( ~ spl0_23
| spl0_89
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f34618,f34469,f1964,f302]) ).
thf(f34702,plain,
( ~ spl0_280
| spl0_267
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f34622,f34469,f12105,f12156]) ).
thf(f34756,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_44
| ~ spl0_148 ),
inference(constrained_superposition,[],[f567,f4234]) ).
thf(f34759,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_44
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f34756]) ).
thf(f34760,plain,
( $false
| ~ spl0_44
| ~ spl0_136
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f34759,f3841]) ).
thf(f34761,plain,
( ~ spl0_44
| ~ spl0_136
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f34760]) ).
thf(f34764,plain,
( spl0_61
| ~ spl0_147
| ~ spl0_24
| spl0_286 ),
inference(avatar_split_clause,[],[f31382,f12181,f305,f4222,f1555]) ).
thf(f34765,plain,
( spl0_164
| ~ spl0_61
| ~ spl0_283
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f34676,f12189,f12170,f1555,f5656]) ).
thf(f34767,plain,
( ~ spl0_119
| ~ spl0_94
| spl0_111
| ~ spl0_14
| spl0_286 ),
inference(avatar_split_clause,[],[f34178,f12181,f210,f3292,f2092,f3330]) ).
thf(f34768,plain,
( spl0_95
| ~ spl0_192
| ~ spl0_288
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f34559,f13780,f12189,f7012,f2306]) ).
thf(f34804,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_83 ),
inference(constrained_superposition,[],[f1825,f30]) ).
thf(f34805,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_83 ),
inference(trivial_inequality_removal,[],[f34804]) ).
thf(f34808,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_62
| spl0_83 ),
inference(forward_subsumption_resolution,[],[f34805,f11876]) ).
thf(f34810,plain,
( spl0_72
| spl0_62
| spl0_83 ),
inference(avatar_split_clause,[],[f34808,f1824,f1559,f1598]) ).
thf(f34830,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_2
| spl0_303 ),
inference(constrained_superposition,[],[f13760,f56]) ).
thf(f34831,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_136 ),
inference(constrained_superposition,[],[f31178,f56]) ).
thf(f34837,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f34831]) ).
thf(f34840,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_2
| spl0_303 ),
inference(trivial_inequality_removal,[],[f34830]) ).
thf(f34844,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2
| ~ spl0_136
| spl0_313 ),
inference(forward_subsumption_resolution,[],[f34837,f33436]) ).
thf(f34845,plain,
( spl0_318
| ~ spl0_2
| ~ spl0_136
| spl0_313 ),
inference(avatar_split_clause,[],[f34844,f13932,f3840,f55,f14716]) ).
thf(f34859,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_122 ),
inference(constrained_superposition,[],[f3350,f35]) ).
thf(f34864,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f34859]) ).
thf(f34868,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_17
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f34864,f7460]) ).
thf(f34869,plain,
( ~ spl0_22
| spl0_17
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f34868,f3349,f222,f271]) ).
thf(f35014,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f444,f75]) ).
thf(f35021,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f35014]) ).
thf(f35124,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f7091,f75]) ).
thf(f35131,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f35124]) ).
thf(f35135,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_418 ),
inference(constrained_superposition,[],[f32215,f1292]) ).
thf(f35149,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_418 ),
inference(trivial_inequality_removal,[],[f35135]) ).
thf(f35167,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f329,f36]) ).
thf(f35171,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f35167]) ).
thf(f35180,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_136
| ~ spl0_309 ),
inference(constrained_superposition,[],[f33522,f3841]) ).
thf(f35185,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_136
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f35180]) ).
thf(f35186,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_6
| ~ spl0_136
| ~ spl0_309 ),
inference(forward_subsumption_resolution,[],[f35185,f93]) ).
thf(f35187,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_136
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f35186,f13790,f3840,f92,f368]) ).
thf(f35189,plain,
( spl0_307
| ~ spl0_2
| spl0_303 ),
inference(avatar_split_clause,[],[f34840,f13759,f55,f13780]) ).
thf(f35191,plain,
( ~ spl0_22
| spl0_358
| spl0_72
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f35131,f7090,f1598,f17760,f271]) ).
thf(f35192,plain,
( spl0_165
| spl0_136
| spl0_286 ),
inference(avatar_split_clause,[],[f31948,f12181,f3840,f6071]) ).
thf(f35193,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267
| ~ spl0_418 ),
inference(forward_subsumption_resolution,[],[f35149,f28869]) ).
thf(f35197,plain,
( ~ spl0_83
| ~ spl0_119
| spl0_267
| ~ spl0_418 ),
inference(avatar_split_clause,[],[f35193,f32214,f12105,f3330,f1824]) ).
thf(f35199,plain,
( spl0_40
| spl0_20
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f35021,f443,f256,f543]) ).
thf(f35202,definition,
( spl0_435
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_435])],[avatar_definition]) ).
thf(f35203,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_435 ),
inference(avatar_component_clause,[],[f35202]) ).
thf(f35286,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_285 ),
inference(constrained_superposition,[],[f12178,f30]) ).
thf(f35288,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_285 ),
inference(trivial_inequality_removal,[],[f35286]) ).
thf(f35330,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_275 ),
inference(constrained_superposition,[],[f23780,f176]) ).
thf(f35331,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f35330]) ).
thf(f35332,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f35331,f27]) ).
thf(f35334,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_209
| spl0_275 ),
inference(constrained_superposition,[],[f7091,f35332]) ).
thf(f35348,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_209
| spl0_275 ),
inference(trivial_inequality_removal,[],[f35334]) ).
thf(f35360,plain,
( spl0_397
| ~ spl0_356
| ~ spl0_209
| spl0_275 ),
inference(avatar_split_clause,[],[f35348,f12135,f7090,f17456,f23845]) ).
thf(f35385,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f6849,f174]) ).
thf(f35394,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f35385]) ).
thf(f35399,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_61
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[],[f35394,f7268]) ).
thf(f35400,plain,
( ~ spl0_23
| spl0_61
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f35399,f6848,f1555,f302]) ).
thf(f35408,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_111
| ~ spl0_308 ),
inference(constrained_superposition,[],[f13788,f3293]) ).
thf(f35411,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_111
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f35408]) ).
thf(f35415,plain,
( $false
| ~ spl0_111
| ~ spl0_192
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f35411,f7013]) ).
thf(f35416,plain,
( ~ spl0_111
| ~ spl0_192
| ~ spl0_308 ),
inference(avatar_contradiction_clause,[],[f35415]) ).
thf(f35449,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_313 ),
inference(constrained_superposition,[],[f29,f13933]) ).
thf(f35450,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f35449]) ).
thf(f35524,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_115
| spl0_275 ),
inference(constrained_superposition,[],[f3314,f35332]) ).
thf(f35532,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_115
| spl0_275 ),
inference(trivial_inequality_removal,[],[f35524]) ).
thf(f35540,plain,
( ~ spl0_94
| ~ spl0_115
| spl0_275 ),
inference(avatar_split_clause,[],[f35532,f12135,f3313,f2092]) ).
thf(f35544,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_313
| ~ spl0_374 ),
inference(constrained_superposition,[],[f21479,f13933]) ).
thf(f35547,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_313
| ~ spl0_374 ),
inference(trivial_inequality_removal,[],[f35544]) ).
thf(f35550,plain,
( $false
| ~ spl0_192
| ~ spl0_313
| ~ spl0_374 ),
inference(forward_subsumption_resolution,[],[f35547,f7013]) ).
thf(f35551,plain,
( ~ spl0_192
| ~ spl0_313
| ~ spl0_374 ),
inference(avatar_contradiction_clause,[],[f35550]) ).
thf(f35554,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_327 ),
inference(constrained_superposition,[],[f15011,f174]) ).
thf(f35562,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f35554]) ).
thf(f35590,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f1543,f11920]) ).
thf(f35611,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f35590]) ).
thf(f35621,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_264
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f35611,f23780]) ).
thf(f35624,plain,
( spl0_277
| ~ spl0_264
| spl0_275 ),
inference(avatar_split_clause,[],[f35621,f12135,f11919,f12143]) ).
thf(f35638,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_365 ),
inference(constrained_superposition,[],[f19266,f35]) ).
thf(f35648,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_365 ),
inference(trivial_inequality_removal,[],[f35638]) ).
thf(f35708,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_264
| ~ spl0_405 ),
inference(constrained_superposition,[],[f28274,f11920]) ).
thf(f35710,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_405 ),
inference(constrained_superposition,[],[f28274,f74]) ).
thf(f35718,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_264
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f35708]) ).
thf(f35723,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f35710]) ).
thf(f35724,plain,
( $false
| ~ spl0_264
| spl0_275
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f35718,f35332]) ).
thf(f35725,plain,
( ~ spl0_264
| spl0_275
| ~ spl0_405 ),
inference(avatar_contradiction_clause,[],[f35724]) ).
thf(f35726,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_278
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f35723,f14146]) ).
thf(f35727,plain,
( ~ spl0_83
| spl0_278
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f35726,f28273,f12147,f1824]) ).
thf(f35733,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_407 ),
inference(constrained_superposition,[],[f28453,f75]) ).
thf(f35734,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_407 ),
inference(constrained_superposition,[],[f28453,f36]) ).
thf(f35740,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f35733]) ).
thf(f35741,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f35734]) ).
thf(f35746,plain,
( spl0_148
| spl0_295
| spl0_285 ),
inference(avatar_split_clause,[],[f35288,f12177,f12805,f4233]) ).
thf(f35753,plain,
( ~ spl0_83
| spl0_293
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f35740,f28452,f12214,f1824]) ).
thf(f35755,plain,
( ~ spl0_84
| spl0_307
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f35741,f28452,f13780,f1828]) ).
thf(f35760,plain,
( spl0_358
| spl0_192
| ~ spl0_22
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f35171,f328,f271,f7012,f17760]) ).
thf(f35842,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f7049,f175]) ).
thf(f35853,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f35842]) ).
thf(f35857,plain,
( spl0_89
| ~ spl0_36
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f35853,f7048,f457,f1964]) ).
thf(f35859,plain,
( spl0_288
| ~ spl0_36
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f35562,f15010,f457,f12189]) ).
thf(f35877,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ z @ X2 ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f29,f56]) ).
thf(f35878,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ z @ X2 ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f35877]) ).
thf(f35893,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f29,f4234]) ).
thf(f35895,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f35893]) ).
thf(f35937,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_434 ),
inference(constrained_superposition,[],[f34470,f36]) ).
thf(f35940,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f35937]) ).
thf(f35945,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_195
| ~ spl0_434 ),
inference(forward_subsumption_resolution,[],[f35940,f33432]) ).
thf(f35946,plain,
( ~ spl0_22
| spl0_195
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f35945,f34469,f7023,f271]) ).
thf(f35980,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_164 ),
inference(constrained_superposition,[],[f5657,f56]) ).
thf(f35983,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f35980]) ).
thf(f36055,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f444,f174]) ).
thf(f36061,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f36055]) ).
thf(f36076,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_145
| ~ spl0_294 ),
inference(constrained_superposition,[],[f12669,f4213]) ).
thf(f36082,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_145
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f36076]) ).
thf(f36089,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_302 ),
inference(constrained_superposition,[],[f13162,f56]) ).
thf(f36091,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f36089]) ).
thf(f36100,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161 ),
inference(constrained_superposition,[],[f5624,f75]) ).
thf(f36107,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f36100]) ).
thf(f36109,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_72
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f36107,f3637]) ).
thf(f36110,plain,
( spl0_434
| spl0_72
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f36109,f5623,f1598,f34469]) ).
thf(f36144,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_351 ),
inference(constrained_superposition,[],[f17216,f175]) ).
thf(f36150,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f36144]) ).
thf(f36155,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_284
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f36150,f14602]) ).
thf(f36156,plain,
( ~ spl0_147
| spl0_284
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f36155,f17215,f12174,f4222]) ).
thf(f36230,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_87 ),
inference(constrained_superposition,[],[f1949,f36]) ).
thf(f36232,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f36230]) ).
thf(f36238,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_87
| spl0_195 ),
inference(forward_subsumption_resolution,[],[f36232,f33432]) ).
thf(f36239,plain,
( spl0_358
| ~ spl0_22
| ~ spl0_87
| spl0_195 ),
inference(avatar_split_clause,[],[f36238,f7023,f1948,f271,f17760]) ).
thf(f36263,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_2
| ~ spl0_20 ),
inference(constrained_superposition,[],[f35878,f257]) ).
thf(f36269,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_2
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f36263]) ).
thf(f36302,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_313
| ~ spl0_391 ),
inference(constrained_superposition,[],[f21604,f13933]) ).
thf(f36305,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_313
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f36302]) ).
thf(f36338,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_152
| ~ spl0_263 ),
inference(constrained_superposition,[],[f4271,f11917]) ).
thf(f36339,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_148
| ~ spl0_152 ),
inference(constrained_superposition,[],[f4271,f4234]) ).
thf(f36342,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_148
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f36339]) ).
thf(f36345,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_152
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f36338]) ).
thf(f36351,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_265 ),
inference(constrained_superposition,[],[f36061,f11924]) ).
thf(f36353,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_32
| spl0_286 ),
inference(constrained_superposition,[],[f36061,f29287]) ).
thf(f36359,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| spl0_286 ),
inference(trivial_inequality_removal,[],[f36353]) ).
thf(f36366,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f36351]) ).
thf(f36367,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| spl0_111
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f36359,f27763]) ).
thf(f36369,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_265
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f36366,f14144]) ).
thf(f36370,plain,
( ~ spl0_94
| ~ spl0_32
| spl0_111
| spl0_286 ),
inference(avatar_split_clause,[],[f36367,f12181,f3292,f443,f2092]) ).
thf(f36371,plain,
( ~ spl0_147
| ~ spl0_32
| ~ spl0_265
| spl0_288 ),
inference(avatar_split_clause,[],[f36369,f12189,f11923,f443,f4222]) ).
thf(f36372,plain,
( ~ spl0_68
| spl0_307
| ~ spl0_2
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f36091,f13161,f55,f13780,f1584]) ).
thf(f36373,plain,
( spl0_195
| ~ spl0_17
| ~ spl0_2
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f35983,f5656,f55,f222,f7023]) ).
thf(f36374,plain,
( ~ spl0_309
| spl0_308
| ~ spl0_145
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f36082,f12668,f4212,f13787,f13790]) ).
thf(f36378,plain,
( spl0_44
| ~ spl0_13
| ~ spl0_148
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f36342,f4270,f4233,f207,f566]) ).
thf(f36379,plain,
( ~ spl0_84
| spl0_309
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f35648,f19265,f13790,f1828]) ).
thf(f36382,plain,
( ~ spl0_278
| spl0_315
| ~ spl0_152
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f36345,f11916,f4270,f14148,f12147]) ).
thf(f36383,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f36269,f93]) ).
thf(f36387,plain,
( ~ spl0_195
| ~ spl0_192
| ~ spl0_313
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f36305,f21603,f13932,f7012,f7023]) ).
thf(f36392,plain,
( spl0_29
| spl0_192
| ~ spl0_2
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f36383,f256,f92,f55,f7012,f368]) ).
thf(f36417,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_302
| ~ spl0_435 ),
inference(constrained_superposition,[],[f13162,f35203]) ).
thf(f36419,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_302
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f36417]) ).
thf(f36424,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_302
| ~ spl0_435 ),
inference(forward_subsumption_resolution,[],[f36419,f27]) ).
thf(f36426,plain,
( ~ spl0_58
| spl0_307
| spl0_292
| ~ spl0_302
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f36424,f35202,f13161,f12209,f13780,f1545]) ).
thf(f36464,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_61 ),
inference(constrained_superposition,[],[f35878,f1556]) ).
thf(f36467,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f36464]) ).
thf(f36489,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_302
| ~ spl0_303 ),
inference(constrained_superposition,[],[f13162,f13802]) ).
thf(f36491,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_302
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f36489]) ).
thf(f36493,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_275 ),
inference(constrained_superposition,[],[f23780,f176]) ).
thf(f36494,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f36493]) ).
thf(f36495,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f36494,f27]) ).
thf(f36499,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_165
| spl0_275 ),
inference(constrained_superposition,[],[f6072,f36495]) ).
thf(f36517,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_165
| spl0_275 ),
inference(trivial_inequality_removal,[],[f36499]) ).
thf(f36527,plain,
( spl0_364
| ~ spl0_344
| ~ spl0_165
| spl0_275 ),
inference(avatar_split_clause,[],[f36517,f12135,f6071,f16849,f19231]) ).
thf(f36530,plain,
( ~ spl0_68
| spl0_192
| spl0_141
| ~ spl0_2
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f36467,f1555,f55,f4017,f7012,f1584]) ).
thf(f36531,plain,
( ~ spl0_68
| ~ spl0_302
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f36491,f13759,f13161,f1584]) ).
thf(f36534,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f29,f7013]) ).
thf(f36535,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f36534]) ).
thf(f36549,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f29,f1585]) ).
thf(f36550,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f36549]) ).
thf(f36564,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_358 ),
inference(constrained_superposition,[],[f17761,f74]) ).
thf(f36567,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f36564]) ).
thf(f36652,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_358 ),
inference(constrained_superposition,[],[f36567,f36]) ).
thf(f36654,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f36652]) ).
thf(f36656,plain,
( spl0_183
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f36654,f17760,f6953]) ).
thf(f36790,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_61
| ~ spl0_375 ),
inference(constrained_superposition,[],[f21501,f1556]) ).
thf(f36808,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_61
| ~ spl0_375 ),
inference(trivial_inequality_removal,[],[f36790]) ).
thf(f36812,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_61
| spl0_195
| ~ spl0_375 ),
inference(forward_subsumption_resolution,[],[f36808,f33432]) ).
thf(f36813,plain,
( $false
| ~ spl0_61
| ~ spl0_192
| spl0_195
| ~ spl0_375 ),
inference(forward_subsumption_resolution,[],[f36812,f7013]) ).
thf(f36814,plain,
( ~ spl0_61
| ~ spl0_192
| spl0_195
| ~ spl0_375 ),
inference(avatar_contradiction_clause,[],[f36813]) ).
thf(f36815,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_264
| ~ spl0_398 ),
inference(constrained_superposition,[],[f24865,f11920]) ).
thf(f36829,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_264
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f36815]) ).
thf(f36831,plain,
( ~ spl0_147
| ~ spl0_264
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f36829,f24864,f11919,f4222]) ).
thf(f36877,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_68
| ~ spl0_267 ),
inference(constrained_superposition,[],[f36550,f12106]) ).
thf(f36885,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_68
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f36877]) ).
thf(f36937,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_148
| ~ spl0_192 ),
inference(constrained_superposition,[],[f36535,f4234]) ).
thf(f36942,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f36937]) ).
thf(f36947,plain,
( spl0_316
| ~ spl0_148
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f36942,f7012,f4233,f14709]) ).
thf(f36949,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f6998,f30]) ).
thf(f36951,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f36949]) ).
thf(f36952,plain,
( spl0_435
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f36951,f6997,f35202]) ).
thf(f37033,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_24
| ~ spl0_264 ),
inference(constrained_superposition,[],[f306,f11920]) ).
thf(f37052,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_24
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f37033]) ).
thf(f37054,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_24
| ~ spl0_264
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f37052,f14144]) ).
thf(f37055,plain,
( ~ spl0_147
| ~ spl0_24
| ~ spl0_264
| spl0_288 ),
inference(avatar_split_clause,[],[f37054,f12189,f11919,f305,f4222]) ).
thf(f37134,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f7086,f175]) ).
thf(f37135,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f7086,f75]) ).
thf(f37136,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f7086,f36]) ).
thf(f37137,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f37136]) ).
thf(f37139,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f37135]) ).
thf(f37142,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208 ),
inference(duplicate_literal_removal,[],[f37134]) ).
thf(f37143,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f37142]) ).
thf(f37145,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_72
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f37139,f3637]) ).
thf(f37146,plain,
( spl0_134
| spl0_72
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f37145,f7085,f1598,f3832]) ).
thf(f37153,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f3833,f36]) ).
thf(f37157,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f37153]) ).
thf(f37167,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f4210,f175]) ).
thf(f37172,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f37167]) ).
thf(f37192,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_264
| ~ spl0_419 ),
inference(constrained_superposition,[],[f32219,f11920]) ).
thf(f37204,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_264
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f37192]) ).
thf(f37207,plain,
( spl0_398
| ~ spl0_269
| ~ spl0_264
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f37204,f32218,f11919,f12112,f24864]) ).
thf(f37221,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_145
| ~ spl0_313 ),
inference(constrained_superposition,[],[f35450,f4213]) ).
thf(f37223,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_145
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f37221]) ).
thf(f37229,plain,
( spl0_318
| ~ spl0_145
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f37223,f13932,f4212,f14716]) ).
thf(f37231,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_148
| ~ spl0_318 ),
inference(constrained_superposition,[],[f14717,f4234]) ).
thf(f37237,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_148
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f37231]) ).
thf(f37278,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_286
| ~ spl0_357 ),
inference(constrained_superposition,[],[f17668,f29287]) ).
thf(f37295,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_286
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f37278]) ).
thf(f37297,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_148
| ~ spl0_266 ),
inference(constrained_superposition,[],[f35895,f11927]) ).
thf(f37301,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f37297]) ).
thf(f37306,plain,
( spl0_376
| ~ spl0_148
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f37301,f11926,f4233,f21515]) ).
thf(f37310,plain,
( spl0_195
| spl0_137
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f37137,f7085,f3855,f7023]) ).
thf(f37312,plain,
( ~ spl0_303
| spl0_304
| ~ spl0_68
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f36885,f12105,f1584,f13762,f13759]) ).
thf(f37314,plain,
( ~ spl0_22
| ~ spl0_50
| spl0_195
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f37157,f3832,f7023,f701,f271]) ).
thf(f37322,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f29,f6942]) ).
thf(f37323,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f37322]) ).
thf(f37333,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f29,f7024]) ).
thf(f37335,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f37333]) ).
thf(f37353,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_68
| ~ spl0_72 ),
inference(constrained_superposition,[],[f36550,f1599]) ).
thf(f37356,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_68
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f37353]) ).
thf(f37359,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_6
| ~ spl0_68
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f37356,f93]) ).
thf(f37360,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_68
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f37359,f1598,f1584,f92,f368]) ).
thf(f37363,plain,
( ~ spl0_17
| ~ spl0_13
| ~ spl0_148
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f37237,f14716,f4233,f207,f222]) ).
thf(f37386,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f29,f1599]) ).
thf(f37389,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f37386]) ).
thf(f37402,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_148
| ~ spl0_309 ),
inference(constrained_superposition,[],[f35895,f14427]) ).
thf(f37407,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_148
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f37402]) ).
thf(f37408,plain,
( spl0_316
| ~ spl0_148
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f37407,f13790,f4233,f14709]) ).
thf(f37423,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_136
| ~ spl0_391 ),
inference(constrained_superposition,[],[f21604,f3841]) ).
thf(f37425,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f37423]) ).
thf(f37461,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f53,f35]) ).
thf(f37462,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f37461]) ).
thf(f37464,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_278 ),
inference(constrained_superposition,[],[f29,f12148]) ).
thf(f37465,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f37464]) ).
thf(f37472,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(constrained_superposition,[],[f23780,f176]) ).
thf(f37473,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f37472]) ).
thf(f37474,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f37473,f27]) ).
thf(f37509,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_275
| ~ spl0_434 ),
inference(constrained_superposition,[],[f34470,f37474]) ).
thf(f37518,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_275
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f37509]) ).
thf(f37521,plain,
( ~ spl0_135
| spl0_275
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f37518,f34469,f12135,f3836]) ).
thf(f37592,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_1
| spl0_286 ),
inference(constrained_superposition,[],[f37462,f29287]) ).
thf(f37596,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| spl0_286 ),
inference(trivial_inequality_removal,[],[f37592]) ).
thf(f37613,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_374 ),
inference(constrained_superposition,[],[f21479,f3841]) ).
thf(f37619,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_374 ),
inference(trivial_inequality_removal,[],[f37613]) ).
thf(f37631,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_263
| ~ spl0_318 ),
inference(constrained_superposition,[],[f14717,f11917]) ).
thf(f37637,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_263
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f37631]) ).
thf(f37642,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_265
| ~ spl0_357 ),
inference(constrained_superposition,[],[f17668,f11924]) ).
thf(f37651,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_265 ),
inference(constrained_superposition,[],[f37462,f11924]) ).
thf(f37667,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f37651]) ).
thf(f37668,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_265
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f37642]) ).
thf(f37699,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f17438,f175]) ).
thf(f37701,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f17438,f36]) ).
thf(f37702,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f37701]) ).
thf(f37707,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f37699]) ).
thf(f37715,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_427 ),
inference(constrained_superposition,[],[f33411,f175]) ).
thf(f37724,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f37715]) ).
thf(f37747,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_181 ),
inference(constrained_superposition,[],[f37323,f1599]) ).
thf(f37749,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f37747]) ).
thf(f37752,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_72
| ~ spl0_181
| ~ spl0_267 ),
inference(constrained_superposition,[],[f37749,f12106]) ).
thf(f37759,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_72
| ~ spl0_181
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f37752]) ).
thf(f37779,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_161
| spl0_275 ),
inference(constrained_superposition,[],[f5624,f37474]) ).
thf(f37783,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161
| spl0_275 ),
inference(trivial_inequality_removal,[],[f37779]) ).
thf(f37798,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_161
| spl0_275 ),
inference(constrained_superposition,[],[f37783,f36]) ).
thf(f37800,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_161
| spl0_275 ),
inference(trivial_inequality_removal,[],[f37798]) ).
thf(f37827,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f3813,f1292]) ).
thf(f37828,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_131
| ~ spl0_265 ),
inference(constrained_superposition,[],[f3813,f11924]) ).
thf(f37832,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f3813,f35]) ).
thf(f37836,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_131
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f37828]) ).
thf(f37838,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f37827]) ).
thf(f37842,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f37832]) ).
thf(f37895,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f548,f35]) ).
thf(f37899,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f37895]) ).
thf(f37909,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_416 ),
inference(constrained_superposition,[],[f32084,f175]) ).
thf(f37910,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_416 ),
inference(constrained_superposition,[],[f32084,f75]) ).
thf(f37918,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f37909]) ).
thf(f37919,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f37910]) ).
thf(f37921,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_195
| ~ spl0_267 ),
inference(constrained_superposition,[],[f37335,f12106]) ).
thf(f37931,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_195
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f37921]) ).
thf(f37961,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_267 ),
inference(constrained_superposition,[],[f37389,f12106]) ).
thf(f37968,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f37961]) ).
thf(f38019,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_278
| ~ spl0_307 ),
inference(constrained_superposition,[],[f37465,f13781]) ).
thf(f38023,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_278
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f38019]) ).
thf(f38026,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_181
| ~ spl0_278
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f38023,f6942]) ).
thf(f38029,plain,
( spl0_29
| ~ spl0_181
| ~ spl0_278
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f38026,f13780,f12147,f6941,f368]) ).
thf(f38036,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_278
| ~ spl0_284 ),
inference(constrained_superposition,[],[f37465,f12175]) ).
thf(f38040,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_278
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f38036]) ).
thf(f38042,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_13
| ~ spl0_278
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f38040,f208]) ).
thf(f38043,plain,
( spl0_44
| ~ spl0_13
| ~ spl0_278
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f38042,f12174,f12147,f207,f566]) ).
thf(f38044,plain,
( ~ spl0_303
| ~ spl0_278
| ~ spl0_263
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f37637,f14716,f11916,f12147,f13759]) ).
thf(f38045,plain,
( ~ spl0_303
| ~ spl0_278
| ~ spl0_72
| ~ spl0_181
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f37759,f12105,f6941,f1598,f12147,f13759]) ).
thf(f38046,plain,
( ~ spl0_84
| spl0_313
| ~ spl0_161
| spl0_275 ),
inference(avatar_split_clause,[],[f37800,f12135,f5623,f13932,f1828]) ).
thf(f38047,plain,
( spl0_302
| ~ spl0_303
| ~ spl0_195
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f37931,f12105,f7023,f13759,f13161]) ).
thf(f38049,plain,
( ~ spl0_350
| spl0_148
| ~ spl0_349
| ~ spl0_265
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f37668,f17667,f11923,f17202,f4233,f17209]) ).
thf(f38050,plain,
( ~ spl0_350
| ~ spl0_280
| ~ spl0_131
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f37836,f11923,f3812,f12156,f17209]) ).
thf(f38052,definition,
( spl0_436
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_436])],[avatar_definition]) ).
thf(f38053,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_436 ),
inference(avatar_component_clause,[],[f38052]) ).
thf(f38054,plain,
( spl0_436
| spl0_148
| ~ spl0_36
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f37172,f4209,f457,f4233,f38052]) ).
thf(f38056,plain,
( spl0_148
| ~ spl0_94
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f37707,f17437,f2092,f4233]) ).
thf(f38059,plain,
( spl0_313
| ~ spl0_119
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f37702,f17437,f3330,f13932]) ).
thf(f38060,plain,
( ~ spl0_278
| spl0_302
| ~ spl0_72
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f37968,f12105,f1598,f13161,f12147]) ).
thf(f38063,plain,
( ~ spl0_22
| ~ spl0_36
| spl0_309
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f37842,f3812,f13790,f457,f271]) ).
thf(f38065,plain,
( spl0_425
| spl0_89
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f37143,f7085,f1964,f33079]) ).
thf(f38066,plain,
( ~ spl0_82
| ~ spl0_70
| spl0_275
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f37838,f3812,f12135,f1591,f1820]) ).
thf(f38067,plain,
( ~ spl0_72
| ~ spl0_20
| ~ spl0_136
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f37425,f21603,f3840,f256,f1598]) ).
thf(f38068,plain,
( ~ spl0_120
| spl0_303
| ~ spl0_1
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f37667,f11923,f52,f13759,f3341]) ).
thf(f38072,plain,
( spl0_309
| ~ spl0_119
| ~ spl0_1
| spl0_286 ),
inference(avatar_split_clause,[],[f37596,f12181,f52,f3330,f13790]) ).
thf(f38073,plain,
( ~ spl0_120
| spl0_89
| ~ spl0_285
| spl0_286
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f37295,f17667,f12181,f12177,f1964,f3341]) ).
thf(f38074,plain,
( ~ spl0_23
| ~ spl0_36
| spl0_89
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f37724,f33410,f1964,f457,f302]) ).
thf(f38075,plain,
( spl0_293
| ~ spl0_54
| ~ spl0_83
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f37919,f32083,f1824,f997,f12214]) ).
thf(f38076,plain,
( spl0_243
| spl0_17
| ~ spl0_22
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f37899,f547,f271,f222,f8443]) ).
thf(f38077,plain,
( ~ spl0_20
| ~ spl0_136
| ~ spl0_374 ),
inference(avatar_split_clause,[],[f37619,f21478,f3840,f256]) ).
thf(f38086,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f29,f7013]) ).
thf(f38087,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f38086]) ).
thf(f38137,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f29,f56]) ).
thf(f38139,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ z @ X2 ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f38137]) ).
thf(f38142,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_307 ),
inference(constrained_superposition,[],[f29,f13781]) ).
thf(f38143,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 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f38142]) ).
thf(f38173,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $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_286 ),
inference(constrained_superposition,[],[f29,f12182]) ).
thf(f38174,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f38173]) ).
thf(f38234,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_425 ),
inference(constrained_superposition,[],[f33080,f75]) ).
thf(f38237,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_425 ),
inference(trivial_inequality_removal,[],[f38234]) ).
thf(f38258,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_431 ),
inference(constrained_superposition,[],[f34318,f75]) ).
thf(f38259,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_431 ),
inference(constrained_superposition,[],[f34318,f36]) ).
thf(f38260,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f38259]) ).
thf(f38261,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f38258]) ).
thf(f38267,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_195
| ~ spl0_431 ),
inference(forward_subsumption_resolution,[],[f38260,f33432]) ).
thf(f38268,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_72
| ~ spl0_431 ),
inference(forward_subsumption_resolution,[],[f38261,f3637]) ).
thf(f38269,plain,
( ~ spl0_36
| spl0_195
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f38267,f34317,f7023,f457]) ).
thf(f38270,plain,
( ~ spl0_23
| spl0_72
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f38268,f34317,f1598,f302]) ).
thf(f38284,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_436 ),
inference(constrained_superposition,[],[f38053,f75]) ).
thf(f38289,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f38284]) ).
thf(f38324,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f114,f11920]) ).
thf(f38325,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f87,f11920]) ).
thf(f38328,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f32,f11920]) ).
thf(f38331,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f38328]) ).
thf(f38333,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f38325]) ).
thf(f38344,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f38324]) ).
thf(f38351,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f13774,f11927]) ).
thf(f38356,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f38351]) ).
thf(f38358,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f38356,f176]) ).
thf(f38359,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f38358]) ).
thf(f38360,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f38359,f27]) ).
thf(f38445,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_373 ),
inference(constrained_superposition,[],[f21473,f1292]) ).
thf(f38458,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f38445]) ).
thf(f38527,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_192
| ~ spl0_284 ),
inference(constrained_superposition,[],[f38087,f12175]) ).
thf(f38532,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_192
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f38527]) ).
thf(f38547,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_192
| ~ spl0_284
| ~ spl0_293 ),
inference(constrained_superposition,[],[f38532,f12215]) ).
thf(f38554,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_192
| ~ spl0_284
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f38547]) ).
thf(f38556,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_192
| ~ spl0_284
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f38554,f93]) ).
thf(f38557,plain,
( $false
| ~ spl0_6
| ~ spl0_20
| ~ spl0_192
| ~ spl0_284
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f38556,f257]) ).
thf(f38558,plain,
( ~ spl0_6
| ~ spl0_20
| ~ spl0_192
| ~ spl0_284
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f38557]) ).
thf(f38559,plain,
( spl0_270
| spl0_145
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f38333,f11919,f4212,f12116]) ).
thf(f38578,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_44
| ~ spl0_284 ),
inference(constrained_superposition,[],[f567,f12175]) ).
thf(f38584,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_44
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f38578]) ).
thf(f38606,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_284
| ~ spl0_331 ),
inference(constrained_superposition,[],[f15115,f12175]) ).
thf(f38611,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_284
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f38606]) ).
thf(f38618,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f440,f75]) ).
thf(f38622,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_31 ),
inference(duplicate_literal_removal,[],[f38618]) ).
thf(f38623,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f38622]) ).
thf(f38628,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_267 ),
inference(constrained_superposition,[],[f38139,f12106]) ).
thf(f38648,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f38628]) ).
thf(f38660,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f502,f175]) ).
thf(f38670,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f38660]) ).
thf(f38675,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_152
| ~ spl0_313 ),
inference(constrained_superposition,[],[f4271,f13933]) ).
thf(f38677,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_152
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f38675]) ).
thf(f38688,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_422 ),
inference(constrained_superposition,[],[f32356,f175]) ).
thf(f38690,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_422 ),
inference(constrained_superposition,[],[f32356,f36]) ).
thf(f38691,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f38690]) ).
thf(f38697,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f38688]) ).
thf(f38705,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_8
| ~ spl0_192
| ~ spl0_284 ),
inference(constrained_superposition,[],[f38532,f124]) ).
thf(f38721,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_192
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f38705]) ).
thf(f38865,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_264 ),
inference(constrained_superposition,[],[f211,f11920]) ).
thf(f38874,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f38865]) ).
thf(f38901,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_8
| ~ spl0_382 ),
inference(forward_subsumption_resolution,[],[f21546,f124]) ).
thf(f38906,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_286
| ~ spl0_382 ),
inference(constrained_superposition,[],[f38901,f12182]) ).
thf(f38921,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_8
| ~ spl0_286
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f38906]) ).
thf(f38925,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_8
| ~ spl0_286
| ~ spl0_313
| ~ spl0_382 ),
inference(forward_subsumption_resolution,[],[f38921,f13933]) ).
thf(f38928,plain,
( $false
| ~ spl0_8
| spl0_72
| ~ spl0_286
| ~ spl0_313
| ~ spl0_382 ),
inference(forward_subsumption_resolution,[],[f38925,f3637]) ).
thf(f38929,plain,
( ~ spl0_8
| spl0_72
| ~ spl0_286
| ~ spl0_313
| ~ spl0_382 ),
inference(avatar_contradiction_clause,[],[f38928]) ).
thf(f38949,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_268 ),
inference(constrained_superposition,[],[f12109,f174]) ).
thf(f38962,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f38949]) ).
thf(f38963,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_268
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f38962,f14144]) ).
thf(f38964,plain,
( ~ spl0_285
| ~ spl0_268
| spl0_288 ),
inference(avatar_split_clause,[],[f38963,f12189,f12108,f12177]) ).
thf(f38970,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_417 ),
inference(constrained_superposition,[],[f32187,f175]) ).
thf(f38979,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_417 ),
inference(trivial_inequality_removal,[],[f38970]) ).
thf(f39005,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f7040,f74]) ).
thf(f39011,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_198
| ~ spl0_266
| ~ spl0_306 ),
inference(constrained_superposition,[],[f7040,f38360]) ).
thf(f39017,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_198
| ~ spl0_266
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f39011]) ).
thf(f39020,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_198 ),
inference(duplicate_literal_removal,[],[f39005]) ).
thf(f39021,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f39020]) ).
thf(f39028,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_58
| ~ spl0_198
| ~ spl0_266
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f39017,f3477]) ).
thf(f39030,plain,
( spl0_426
| spl0_58
| ~ spl0_198
| ~ spl0_266
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f39028,f13773,f11926,f7039,f1545,f33395]) ).
thf(f39042,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_426 ),
inference(constrained_superposition,[],[f33396,f174]) ).
thf(f39051,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_426 ),
inference(trivial_inequality_removal,[],[f39042]) ).
thf(f39060,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_198
| ~ spl0_264 ),
inference(constrained_superposition,[],[f39021,f11920]) ).
thf(f39075,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_198
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f39060]) ).
thf(f39161,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_38
| ~ spl0_264 ),
inference(constrained_superposition,[],[f38670,f11920]) ).
thf(f39164,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f38670,f74]) ).
thf(f39173,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_38
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f39161]) ).
thf(f39178,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f39164]) ).
thf(f39238,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f6072,f175]) ).
thf(f39240,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f6072,f36]) ).
thf(f39241,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f39240]) ).
thf(f39246,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f39238]) ).
thf(f39273,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f38331,f1293]) ).
thf(f39274,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f38331,f175]) ).
thf(f39278,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f39274]) ).
thf(f39282,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f39273]) ).
thf(f39304,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_305 ),
inference(constrained_superposition,[],[f13769,f11920]) ).
thf(f39315,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_264
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f39304]) ).
thf(f39325,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f12121,f75]) ).
thf(f39330,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f39325]) ).
thf(f39336,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_44
| ~ spl0_271
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f39330,f38584]) ).
thf(f39337,plain,
( spl0_325
| ~ spl0_44
| ~ spl0_271
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f39336,f12174,f12120,f566,f14910]) ).
thf(f39354,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_264
| ~ spl0_282 ),
inference(constrained_superposition,[],[f12166,f11920]) ).
thf(f39355,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_282 ),
inference(constrained_superposition,[],[f12166,f1292]) ).
thf(f39356,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_282 ),
inference(constrained_superposition,[],[f12166,f174]) ).
thf(f39357,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_282 ),
inference(constrained_superposition,[],[f12166,f74]) ).
thf(f39364,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f39356]) ).
thf(f39365,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_264
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f39354]) ).
thf(f39367,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f39357]) ).
thf(f39368,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f39355]) ).
thf(f39370,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_282
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f39364,f14144]) ).
thf(f39371,plain,
( spl0_272
| ~ spl0_264
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f39365,f12165,f11919,f12124]) ).
thf(f39372,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_282
| spl0_288 ),
inference(constrained_superposition,[],[f39370,f11920]) ).
thf(f39388,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_264
| ~ spl0_282
| spl0_288 ),
inference(trivial_inequality_removal,[],[f39372]) ).
thf(f39389,plain,
( ~ spl0_285
| ~ spl0_147
| ~ spl0_264
| ~ spl0_282
| spl0_288 ),
inference(avatar_split_clause,[],[f39388,f12189,f12165,f11919,f4222,f12177]) ).
thf(f39390,plain,
( ~ spl0_94
| ~ spl0_36
| spl0_288
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f39051,f33395,f12189,f457,f2092]) ).
thf(f39391,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_2
| spl0_195
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f38648,f33432]) ).
thf(f39394,definition,
( spl0_437
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_437])],[avatar_definition]) ).
thf(f39395,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_437 ),
inference(avatar_component_clause,[],[f39394]) ).
thf(f39396,plain,
( spl0_437
| spl0_288
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f39364,f12165,f12189,f39394]) ).
thf(f39401,plain,
( spl0_325
| spl0_293
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f39330,f12120,f12214,f14910]) ).
thf(f39408,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_192
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f38721,f93]) ).
thf(f39409,plain,
( spl0_278
| ~ spl0_344
| ~ spl0_120
| ~ spl0_198
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f39075,f11919,f7039,f3341,f16849,f12147]) ).
thf(f39412,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_13
| ~ spl0_284
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f38611,f208]) ).
thf(f39417,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148
| ~ spl0_417 ),
inference(forward_subsumption_resolution,[],[f38979,f16327]) ).
thf(f39420,definition,
( spl0_439
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_439])],[avatar_definition]) ).
thf(f39421,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_439 ),
inference(avatar_component_clause,[],[f39420]) ).
thf(f39422,plain,
( spl0_439
| spl0_278
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f39367,f12165,f12147,f39420]) ).
thf(f39427,plain,
( spl0_304
| ~ spl0_303
| ~ spl0_2
| spl0_195
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f39391,f12105,f7023,f55,f13759,f13762]) ).
thf(f39428,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20
| ~ spl0_192
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f39408,f257]) ).
thf(f39429,plain,
( ~ spl0_17
| ~ spl0_13
| ~ spl0_284
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f39412,f15114,f12174,f207,f222]) ).
thf(f39432,plain,
( spl0_431
| ~ spl0_82
| spl0_148
| ~ spl0_417 ),
inference(avatar_split_clause,[],[f39417,f32186,f4233,f1820,f34317]) ).
thf(f39434,plain,
( spl0_303
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20
| ~ spl0_192
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f39428,f12174,f7012,f256,f123,f92,f13759]) ).
thf(f39435,plain,
( spl0_283
| spl0_417
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f39282,f11919,f32186,f12170]) ).
thf(f39436,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_148
| ~ spl0_422 ),
inference(forward_subsumption_resolution,[],[f38697,f16327]) ).
thf(f39438,plain,
( spl0_122
| ~ spl0_23
| spl0_148
| ~ spl0_422 ),
inference(avatar_split_clause,[],[f39436,f32355,f4233,f302,f3349]) ).
thf(f39439,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_17
| ~ spl0_192 ),
inference(constrained_superposition,[],[f38087,f223]) ).
thf(f39441,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_17
| ~ spl0_192 ),
inference(duplicate_literal_removal,[],[f39439]) ).
thf(f39442,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_17
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f39441]) ).
thf(f39468,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_17
| ~ spl0_20
| ~ spl0_192 ),
inference(constrained_superposition,[],[f39442,f257]) ).
thf(f39471,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_17
| ~ spl0_20
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f39468]) ).
thf(f39474,plain,
( $false
| ~ spl0_6
| ~ spl0_17
| ~ spl0_20
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f39471,f93]) ).
thf(f39475,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_20
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f39474]) ).
thf(f39476,plain,
( ~ spl0_181
| spl0_29
| ~ spl0_152
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f38677,f13932,f4270,f368,f6941]) ).
thf(f39477,plain,
( spl0_136
| spl0_289
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f38344,f11919,f12195,f3840]) ).
thf(f39478,plain,
( ~ spl0_120
| spl0_283
| ~ spl0_276
| ~ spl0_264
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f39315,f13768,f11919,f12139,f12170,f3341]) ).
thf(f39480,plain,
( ~ spl0_48
| spl0_30
| ~ spl0_23
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f39178,f501,f302,f436,f694]) ).
thf(f39483,plain,
( spl0_111
| ~ spl0_349
| ~ spl0_269
| ~ spl0_14
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f38874,f11919,f210,f12112,f17202,f3292]) ).
thf(f39484,plain,
( ~ spl0_48
| spl0_51
| spl0_89
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f39246,f6071,f1964,f953,f694]) ).
thf(f39485,plain,
( ~ spl0_48
| spl0_72
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f38237,f33079,f1598,f694]) ).
thf(f39487,plain,
( spl0_136
| ~ spl0_23
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f38289,f38052,f302,f3840]) ).
thf(f39488,plain,
( spl0_20
| spl0_40
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f38623,f439,f543,f256]) ).
thf(f39492,plain,
( spl0_284
| spl0_419
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f39278,f11919,f32218,f12174]) ).
thf(f39494,plain,
( ~ spl0_285
| spl0_284
| ~ spl0_147
| ~ spl0_38
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f39173,f11919,f501,f4222,f12174,f12177]) ).
thf(f39496,plain,
( ~ spl0_36
| spl0_284
| ~ spl0_82
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f37918,f32083,f1820,f12174,f457]) ).
thf(f39527,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f29,f208]) ).
thf(f39529,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f39527]) ).
thf(f39567,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_68
| ~ spl0_89 ),
inference(constrained_superposition,[],[f36550,f1965]) ).
thf(f39568,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_89 ),
inference(constrained_superposition,[],[f38139,f1965]) ).
thf(f39572,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f39568]) ).
thf(f39573,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_68
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f39567]) ).
thf(f39574,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f39572,f223]) ).
thf(f39575,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_17
| ~ spl0_68
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f39573,f223]) ).
thf(f39576,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_89
| spl0_195 ),
inference(forward_subsumption_resolution,[],[f39574,f33432]) ).
thf(f39577,plain,
( spl0_95
| ~ spl0_17
| ~ spl0_68
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f39575,f1964,f1584,f222,f2306]) ).
thf(f39578,plain,
( spl0_95
| ~ spl0_2
| ~ spl0_17
| ~ spl0_89
| spl0_195 ),
inference(avatar_split_clause,[],[f39576,f7023,f1964,f222,f55,f2306]) ).
thf(f39625,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f7049,f75]) ).
thf(f39628,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f39625]) ).
thf(f39634,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_122 ),
inference(constrained_superposition,[],[f3350,f175]) ).
thf(f39645,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f39634]) ).
thf(f39650,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_2
| ~ spl0_162 ),
inference(constrained_superposition,[],[f38139,f5629]) ).
thf(f39656,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_2
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f39650]) ).
thf(f39659,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_68
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f39656,f1585]) ).
thf(f39660,plain,
( spl0_141
| spl0_359
| ~ spl0_2
| ~ spl0_68
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f39659,f5628,f1584,f55,f18007,f4017]) ).
thf(f39679,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_278
| ~ spl0_307 ),
inference(constrained_superposition,[],[f38143,f12148]) ).
thf(f39685,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_278
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f39679]) ).
thf(f39687,plain,
( spl0_331
| ~ spl0_278
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f39685,f13780,f12147,f15114]) ).
thf(f39718,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_264
| ~ spl0_327 ),
inference(constrained_superposition,[],[f15011,f11920]) ).
thf(f39733,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_264
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f39718]) ).
thf(f39734,plain,
( ~ spl0_120
| ~ spl0_264
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f39733,f15010,f11919,f3341]) ).
thf(f39754,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_265
| ~ spl0_433 ),
inference(constrained_superposition,[],[f34355,f11924]) ).
thf(f39755,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(constrained_superposition,[],[f38331,f11924]) ).
thf(f39763,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f114,f11924]) ).
thf(f39766,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f43,f11924]) ).
thf(f39776,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_265
| ~ spl0_433 ),
inference(trivial_inequality_removal,[],[f39754]) ).
thf(f39777,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(duplicate_literal_removal,[],[f39755]) ).
thf(f39778,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f39777]) ).
thf(f39780,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f39763]) ).
thf(f39784,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f39766]) ).
thf(f39795,plain,
( ~ spl0_120
| ~ spl0_265
| ~ spl0_433 ),
inference(avatar_split_clause,[],[f39776,f34354,f11923,f3341]) ).
thf(f39796,plain,
( spl0_293
| spl0_110
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f39780,f11923,f3289,f12214]) ).
thf(f39853,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_122 ),
inference(constrained_superposition,[],[f39645,f74]) ).
thf(f39858,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f39853]) ).
thf(f39861,plain,
( spl0_30
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f39858,f3349,f436]) ).
thf(f39894,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_130 ),
inference(constrained_superposition,[],[f3809,f1293]) ).
thf(f39897,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_130 ),
inference(constrained_superposition,[],[f3809,f36]) ).
thf(f39901,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f39897]) ).
thf(f39905,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f39894]) ).
thf(f39916,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_13
| ~ spl0_111 ),
inference(constrained_superposition,[],[f39529,f3293]) ).
thf(f39923,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_13
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f39916]) ).
thf(f39924,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_13
| ~ spl0_111
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f39923,f4213]) ).
thf(f39925,plain,
( spl0_311
| ~ spl0_13
| ~ spl0_111
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f39924,f4212,f3292,f207,f13806]) ).
thf(f39973,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(constrained_superposition,[],[f39778,f11920]) ).
thf(f39979,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f39973]) ).
thf(f40008,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_264
| ~ spl0_265 ),
inference(constrained_superposition,[],[f39979,f175]) ).
thf(f40009,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(constrained_superposition,[],[f39979,f75]) ).
thf(f40014,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f40009]) ).
thf(f40018,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f40008]) ).
thf(f40019,plain,
( spl0_293
| ~ spl0_344
| ~ spl0_264
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f40014,f11923,f11919,f16849,f12214]) ).
thf(f40020,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265
| spl0_284 ),
inference(forward_subsumption_resolution,[],[f40018,f14602]) ).
thf(f40021,plain,
( ~ spl0_285
| ~ spl0_264
| ~ spl0_265
| spl0_284 ),
inference(avatar_split_clause,[],[f40020,f12174,f11923,f11919,f12177]) ).
thf(f40022,plain,
( $false
| spl0_313
| ~ spl0_359 ),
inference(forward_subsumption_resolution,[],[f33436,f18008]) ).
thf(f40023,plain,
( spl0_313
| ~ spl0_359 ),
inference(avatar_contradiction_clause,[],[f40022]) ).
thf(f40025,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_165
| spl0_195 ),
inference(forward_subsumption_resolution,[],[f39241,f33432]) ).
thf(f40030,plain,
( ~ spl0_54
| spl0_72
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f39628,f7048,f1598,f997]) ).
thf(f40033,plain,
( spl0_406
| spl0_267
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f39368,f12165,f12105,f28354]) ).
thf(f40037,plain,
( spl0_144
| spl0_303
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f39784,f11923,f13759,f4209]) ).
thf(f40039,plain,
( ~ spl0_54
| spl0_21
| ~ spl0_165
| spl0_195 ),
inference(avatar_split_clause,[],[f40025,f7023,f6071,f268,f997]) ).
thf(f40044,plain,
( spl0_313
| ~ spl0_22
| spl0_358
| ~ spl0_422 ),
inference(avatar_split_clause,[],[f38691,f32355,f17760,f271,f13932]) ).
thf(f40090,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_8
| spl0_136 ),
inference(constrained_superposition,[],[f15643,f124]) ).
thf(f40092,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_369 ),
inference(constrained_superposition,[],[f19839,f124]) ).
thf(f40096,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f40092]) ).
thf(f40098,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_8
| spl0_136 ),
inference(trivial_inequality_removal,[],[f40090]) ).
thf(f40103,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_72
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f40096,f1599]) ).
thf(f40110,plain,
( spl0_309
| ~ spl0_8
| spl0_136 ),
inference(avatar_split_clause,[],[f40098,f3840,f123,f13790]) ).
thf(f40111,plain,
( spl0_309
| ~ spl0_8
| ~ spl0_72
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f40103,f19838,f1598,f123,f13790]) ).
thf(f40115,plain,
( ~ spl0_70
| spl0_275
| ~ spl0_84
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f38458,f21472,f1828,f12135,f1591]) ).
thf(f40142,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_8
| spl0_20 ),
inference(constrained_superposition,[],[f1482,f124]) ).
thf(f40143,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_8
| spl0_20 ),
inference(trivial_inequality_removal,[],[f40142]) ).
thf(f40182,plain,
( spl0_17
| ~ spl0_8
| spl0_20 ),
inference(avatar_split_clause,[],[f40143,f256,f123,f222]) ).
thf(f40232,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_89
| ~ spl0_192 ),
inference(constrained_superposition,[],[f38087,f1965]) ).
thf(f40235,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_89
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f40232]) ).
thf(f40306,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_267 ),
inference(constrained_superposition,[],[f28869,f176]) ).
thf(f40307,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f40306]) ).
thf(f40308,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f40307,f27]) ).
thf(f40312,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_198
| spl0_267 ),
inference(constrained_superposition,[],[f39021,f40308]) ).
thf(f40313,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_198
| spl0_267 ),
inference(constrained_superposition,[],[f7040,f40308]) ).
thf(f40315,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_134
| spl0_267 ),
inference(constrained_superposition,[],[f3833,f40308]) ).
thf(f40319,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_267 ),
inference(constrained_superposition,[],[f114,f40308]) ).
thf(f40333,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_198
| spl0_267 ),
inference(trivial_inequality_removal,[],[f40312]) ).
thf(f40334,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f40319]) ).
thf(f40335,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_134
| spl0_267 ),
inference(trivial_inequality_removal,[],[f40315]) ).
thf(f40341,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_198
| spl0_267 ),
inference(trivial_inequality_removal,[],[f40313]) ).
thf(f40354,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_436 ),
inference(constrained_superposition,[],[f38053,f36]) ).
thf(f40356,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f40354]) ).
thf(f40362,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_313
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f40356,f33436]) ).
thf(f40363,plain,
( ~ spl0_36
| spl0_313
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f40362,f38052,f13932,f457]) ).
thf(f40452,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_13
| ~ spl0_294 ),
inference(constrained_superposition,[],[f12669,f208]) ).
thf(f40455,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_13
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f40452]) ).
thf(f40465,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_89
| ~ spl0_192
| ~ spl0_275 ),
inference(constrained_superposition,[],[f40235,f12136]) ).
thf(f40473,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_89
| ~ spl0_192
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f40465]) ).
thf(f40477,plain,
( ~ spl0_269
| ~ spl0_280
| ~ spl0_134
| spl0_267 ),
inference(avatar_split_clause,[],[f40335,f12105,f3832,f12156,f12112]) ).
thf(f40478,plain,
( spl0_278
| spl0_426
| ~ spl0_198
| spl0_267 ),
inference(avatar_split_clause,[],[f40341,f12105,f7039,f33395,f12147]) ).
thf(f40479,plain,
( spl0_72
| spl0_289
| spl0_267 ),
inference(avatar_split_clause,[],[f40334,f12105,f12195,f1598]) ).
thf(f40481,plain,
( ~ spl0_111
| ~ spl0_309
| ~ spl0_89
| ~ spl0_192
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f40473,f12135,f7012,f1964,f13790,f3292]) ).
thf(f40483,plain,
( ~ spl0_17
| spl0_95
| ~ spl0_13
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f40455,f12668,f207,f2306,f222]) ).
thf(f40484,plain,
( ~ spl0_119
| spl0_278
| ~ spl0_83
| ~ spl0_198
| spl0_267 ),
inference(avatar_split_clause,[],[f40333,f12105,f7039,f1824,f12147,f3330]) ).
thf(f40494,plain,
( ( $true != $true )
| spl0_313
| ~ spl0_370 ),
inference(constrained_superposition,[],[f33436,f20562]) ).
thf(f40495,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_369
| ~ spl0_370 ),
inference(constrained_superposition,[],[f19839,f20562]) ).
thf(f40499,plain,
( $false
| spl0_313
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f40494]) ).
thf(f40500,plain,
( spl0_313
| ~ spl0_370 ),
inference(avatar_contradiction_clause,[],[f40499]) ).
thf(f40501,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_369
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f40495]) ).
thf(f40503,plain,
( $false
| ~ spl0_369
| ~ spl0_370 ),
inference(forward_subsumption_resolution,[],[f40501,f20562]) ).
thf(f40504,plain,
( ~ spl0_369
| ~ spl0_370 ),
inference(avatar_contradiction_clause,[],[f40503]) ).
thf(f40543,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_145
| ~ spl0_294 ),
inference(constrained_superposition,[],[f12669,f4213]) ).
thf(f40545,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_145
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f40543]) ).
thf(f40553,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_95
| ~ spl0_284 ),
inference(constrained_superposition,[],[f2307,f12175]) ).
thf(f40557,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_95
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f40553]) ).
thf(f40560,plain,
( $false
| ~ spl0_95
| ~ spl0_284
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f40557,f13781]) ).
thf(f40561,plain,
( ~ spl0_95
| ~ spl0_284
| ~ spl0_307 ),
inference(avatar_contradiction_clause,[],[f40560]) ).
thf(f40562,plain,
( spl0_308
| ~ spl0_309
| ~ spl0_145
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f40545,f12668,f4212,f13790,f13787]) ).
thf(f40571,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_58
| ~ spl0_294 ),
inference(constrained_superposition,[],[f12669,f1546]) ).
thf(f40573,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_58
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f40571]) ).
thf(f40618,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f544,f30]) ).
thf(f40624,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f40618]) ).
thf(f40638,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_275 ),
inference(constrained_superposition,[],[f23780,f176]) ).
thf(f40639,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f40638]) ).
thf(f40640,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f40639,f27]) ).
thf(f40644,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_38
| spl0_275 ),
inference(constrained_superposition,[],[f38670,f40640]) ).
thf(f40645,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198
| spl0_275 ),
inference(constrained_superposition,[],[f39021,f40640]) ).
thf(f40646,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_198
| spl0_275 ),
inference(constrained_superposition,[],[f7040,f40640]) ).
thf(f40648,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_275 ),
inference(constrained_superposition,[],[f204,f40640]) ).
thf(f40649,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| spl0_275 ),
inference(constrained_superposition,[],[f432,f40640]) ).
thf(f40651,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| spl0_275 ),
inference(constrained_superposition,[],[f114,f40640]) ).
thf(f40652,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_275 ),
inference(constrained_superposition,[],[f87,f40640]) ).
thf(f40653,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_275 ),
inference(constrained_superposition,[],[f50,f40640]) ).
thf(f40654,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_275 ),
inference(constrained_superposition,[],[f43,f40640]) ).
thf(f40655,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_275 ),
inference(constrained_superposition,[],[f32,f40640]) ).
thf(f40657,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| spl0_275 ),
inference(constrained_superposition,[],[f11347,f40640]) ).
thf(f40658,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_198
| spl0_275 ),
inference(trivial_inequality_removal,[],[f40645]) ).
thf(f40659,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f40649]) ).
thf(f40660,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f40652]) ).
thf(f40662,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_198
| spl0_275 ),
inference(trivial_inequality_removal,[],[f40646]) ).
thf(f40663,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_38
| spl0_275 ),
inference(trivial_inequality_removal,[],[f40644]) ).
thf(f40665,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f40655]) ).
thf(f40667,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f40651]) ).
thf(f40668,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f40648]) ).
thf(f40669,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| spl0_275 ),
inference(trivial_inequality_removal,[],[f40657]) ).
thf(f40670,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f40653]) ).
thf(f40673,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f40654]) ).
thf(f40741,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_89
| ~ spl0_192
| ~ spl0_267 ),
inference(constrained_superposition,[],[f40235,f12106]) ).
thf(f40743,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_89
| ~ spl0_192
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f40741]) ).
thf(f40748,plain,
( ~ spl0_303
| ~ spl0_288
| ~ spl0_89
| ~ spl0_192
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f40743,f12105,f7012,f1964,f12189,f13759]) ).
thf(f40749,plain,
( ~ spl0_119
| spl0_145
| ~ spl0_83
| ~ spl0_198
| spl0_275 ),
inference(avatar_split_clause,[],[f40658,f12135,f7039,f1824,f4212,f3330]) ).
thf(f40751,definition,
( spl0_441
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_441])],[avatar_definition]) ).
thf(f40752,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_441 ),
inference(avatar_component_clause,[],[f40751]) ).
thf(f40753,plain,
( spl0_145
| spl0_441
| ~ spl0_198
| spl0_275 ),
inference(avatar_split_clause,[],[f40662,f12135,f7039,f40751,f4212]) ).
thf(f40754,plain,
( ~ spl0_68
| spl0_141
| ~ spl0_58
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f40573,f12668,f1545,f4017,f1584]) ).
thf(f40755,plain,
( spl0_144
| spl0_68
| spl0_275 ),
inference(avatar_split_clause,[],[f40673,f12135,f1584,f4209]) ).
thf(f40916,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_365 ),
inference(constrained_superposition,[],[f19266,f74]) ).
thf(f40921,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_365 ),
inference(trivial_inequality_removal,[],[f40916]) ).
thf(f40930,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_145
| ~ spl0_365 ),
inference(forward_subsumption_resolution,[],[f40921,f13775]) ).
thf(f40932,plain,
( ~ spl0_83
| spl0_145
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f40930,f19265,f4212,f1824]) ).
thf(f40933,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_266 ),
inference(constrained_superposition,[],[f29,f11927]) ).
thf(f40934,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 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f40933]) ).
thf(f40959,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ z @ X2 ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f29,f56]) ).
thf(f40962,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ z @ X2 ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f40959]) ).
thf(f41020,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f6910,f175]) ).
thf(f41021,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f6910,f75]) ).
thf(f41025,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f41020]) ).
thf(f41028,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f41021]) ).
thf(f41055,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_441 ),
inference(constrained_superposition,[],[f40752,f174]) ).
thf(f41063,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_441 ),
inference(trivial_inequality_removal,[],[f41055]) ).
thf(f41121,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_286 ),
inference(constrained_superposition,[],[f40962,f12182]) ).
thf(f41135,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_2
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f41121]) ).
thf(f41237,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_437 ),
inference(constrained_superposition,[],[f39395,f74]) ).
thf(f41249,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_437 ),
inference(trivial_inequality_removal,[],[f41237]) ).
thf(f41303,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f6076,f1293]) ).
thf(f41304,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f6076,f174]) ).
thf(f41307,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f6076,f35]) ).
thf(f41310,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f41304]) ).
thf(f41314,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f41303]) ).
thf(f41316,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f41307]) ).
thf(f41370,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_140
| spl0_275 ),
inference(constrained_superposition,[],[f3878,f40640]) ).
thf(f41378,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_140
| spl0_275 ),
inference(trivial_inequality_removal,[],[f41370]) ).
thf(f41382,plain,
( ~ spl0_344
| ~ spl0_140
| spl0_275 ),
inference(avatar_split_clause,[],[f41378,f12135,f3877,f16849]) ).
thf(f41386,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_275 ),
inference(constrained_superposition,[],[f40665,f1293]) ).
thf(f41387,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(constrained_superposition,[],[f40665,f175]) ).
thf(f41388,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_275 ),
inference(constrained_superposition,[],[f40665,f75]) ).
thf(f41389,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_275 ),
inference(constrained_superposition,[],[f40665,f36]) ).
thf(f41392,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f41388]) ).
thf(f41394,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f41389]) ).
thf(f41395,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_275 ),
inference(duplicate_literal_removal,[],[f41386]) ).
thf(f41396,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f41395]) ).
thf(f41397,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f41387]) ).
thf(f41403,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_346 ),
inference(constrained_superposition,[],[f17191,f75]) ).
thf(f41404,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_346 ),
inference(constrained_superposition,[],[f17191,f36]) ).
thf(f41409,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 @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f41403]) ).
thf(f41410,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f41404]) ).
thf(f41413,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_136
| ~ spl0_346 ),
inference(forward_subsumption_resolution,[],[f41409,f15643]) ).
thf(f41414,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_313
| ~ spl0_346 ),
inference(forward_subsumption_resolution,[],[f41410,f33436]) ).
thf(f41415,plain,
( spl0_412
| spl0_136
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f41413,f17190,f3840,f29478]) ).
thf(f41416,plain,
( spl0_355
| spl0_313
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f41414,f17190,f13932,f17449]) ).
thf(f41534,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f12121,f175]) ).
thf(f41541,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_271 ),
inference(duplicate_literal_removal,[],[f41534]) ).
thf(f41542,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f41541]) ).
thf(f41545,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_271
| spl0_284 ),
inference(forward_subsumption_resolution,[],[f41542,f14602]) ).
thf(f41549,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_271
| spl0_284 ),
inference(constrained_superposition,[],[f41545,f1293]) ).
thf(f41555,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_271
| spl0_284 ),
inference(trivial_inequality_removal,[],[f41549]) ).
thf(f41560,plain,
( spl0_283
| ~ spl0_94
| ~ spl0_271
| spl0_284 ),
inference(avatar_split_clause,[],[f41555,f12174,f12120,f2092,f12170]) ).
thf(f41620,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_19
| spl0_275 ),
inference(constrained_superposition,[],[f254,f40640]) ).
thf(f41631,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| spl0_275 ),
inference(trivial_inequality_removal,[],[f41620]) ).
thf(f41691,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f1612,f1292]) ).
thf(f41692,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_75
| spl0_275 ),
inference(constrained_superposition,[],[f1612,f40640]) ).
thf(f41704,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) )
| ~ spl0_75 ),
inference(duplicate_literal_removal,[],[f41691]) ).
thf(f41705,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f41704]) ).
thf(f41706,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_75
| spl0_275 ),
inference(trivial_inequality_removal,[],[f41692]) ).
thf(f41725,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_166
| spl0_275 ),
inference(constrained_superposition,[],[f41314,f40640]) ).
thf(f41730,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_166
| spl0_275 ),
inference(trivial_inequality_removal,[],[f41725]) ).
thf(f41759,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_136
| ~ spl0_176 ),
inference(constrained_superposition,[],[f15643,f6922]) ).
thf(f41779,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_136
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f41759]) ).
thf(f41801,plain,
( $false
| spl0_136
| ~ spl0_176
| spl0_313 ),
inference(forward_subsumption_resolution,[],[f41779,f33436]) ).
thf(f41802,plain,
( spl0_136
| ~ spl0_176
| spl0_313 ),
inference(avatar_contradiction_clause,[],[f41801]) ).
thf(f41901,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_286
| ~ spl0_385 ),
inference(constrained_superposition,[],[f38174,f21567]) ).
thf(f41913,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_286
| ~ spl0_385 ),
inference(trivial_inequality_removal,[],[f41901]) ).
thf(f41989,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f40624,f30]) ).
thf(f41996,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f41989]) ).
thf(f41998,plain,
( spl0_154
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f41996,f543,f4705]) ).
thf(f42002,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_9
| spl0_145 ),
inference(constrained_superposition,[],[f13775,f128]) ).
thf(f42016,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_9
| spl0_145 ),
inference(trivial_inequality_removal,[],[f42002]) ).
thf(f42023,plain,
( $false
| ~ spl0_9
| spl0_136
| spl0_145 ),
inference(forward_subsumption_resolution,[],[f42016,f15643]) ).
thf(f42024,plain,
( ~ spl0_9
| spl0_136
| spl0_145 ),
inference(avatar_contradiction_clause,[],[f42023]) ).
thf(f42030,plain,
( spl0_396
| spl0_58
| spl0_275 ),
inference(avatar_split_clause,[],[f40660,f12135,f1545,f23065]) ).
thf(f42032,plain,
( spl0_365
| spl0_111
| ~ spl0_70
| ~ spl0_19
| spl0_275 ),
inference(avatar_split_clause,[],[f41631,f12135,f253,f1591,f3292,f19265]) ).
thf(f42034,plain,
( ~ spl0_70
| spl0_80
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f41705,f1611,f1798,f1591]) ).
thf(f42035,plain,
( spl0_61
| spl0_146
| spl0_275 ),
inference(avatar_split_clause,[],[f40668,f12135,f4217,f1555]) ).
thf(f42036,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_75
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f41706,f23780]) ).
thf(f42037,plain,
( spl0_91
| spl0_148
| spl0_275 ),
inference(avatar_split_clause,[],[f41397,f12135,f4233,f1971]) ).
thf(f42038,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_286
| spl0_313
| ~ spl0_385 ),
inference(forward_subsumption_resolution,[],[f41913,f33436]) ).
thf(f42039,plain,
( spl0_136
| spl0_87
| spl0_275 ),
inference(avatar_split_clause,[],[f41392,f12135,f1948,f3840]) ).
thf(f42042,plain,
( spl0_415
| spl0_195
| spl0_275 ),
inference(avatar_split_clause,[],[f40670,f12135,f7023,f31539]) ).
thf(f42044,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_286
| spl0_313 ),
inference(forward_subsumption_resolution,[],[f41135,f33436]) ).
thf(f42045,plain,
( spl0_72
| spl0_110
| spl0_275 ),
inference(avatar_split_clause,[],[f40667,f12135,f3289,f1598]) ).
thf(f42046,plain,
( ~ spl0_36
| spl0_111
| ~ spl0_94
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f41063,f40751,f2092,f3292,f457]) ).
thf(f42048,plain,
( spl0_72
| spl0_21
| ~ spl0_54
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f41028,f6909,f997,f268,f1598]) ).
thf(f42051,plain,
( spl0_365
| ~ spl0_70
| ~ spl0_75
| spl0_275 ),
inference(avatar_split_clause,[],[f42036,f12135,f1611,f1591,f19265]) ).
thf(f42052,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_286
| spl0_313
| ~ spl0_385 ),
inference(forward_subsumption_resolution,[],[f42038,f27]) ).
thf(f42053,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_2
| ~ spl0_68
| ~ spl0_286
| spl0_313 ),
inference(forward_subsumption_resolution,[],[f42044,f1585]) ).
thf(f42056,plain,
( spl0_391
| spl0_295
| ~ spl0_286
| spl0_313
| ~ spl0_385 ),
inference(avatar_split_clause,[],[f42052,f21566,f13932,f12181,f12805,f21603]) ).
thf(f42057,plain,
( spl0_141
| ~ spl0_2
| ~ spl0_68
| ~ spl0_286
| spl0_313 ),
inference(avatar_split_clause,[],[f42053,f13932,f12181,f1584,f55,f4017]) ).
thf(f42058,plain,
( spl0_113
| ~ spl0_82
| spl0_61
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f41310,f6075,f1555,f1820,f3304]) ).
thf(f42059,plain,
( spl0_225
| spl0_68
| ~ spl0_84
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f41316,f6075,f1828,f1584,f7227]) ).
thf(f42061,plain,
( ~ spl0_94
| spl0_148
| ~ spl0_82
| ~ spl0_38
| spl0_275 ),
inference(avatar_split_clause,[],[f40663,f12135,f501,f1820,f4233,f2092]) ).
thf(f42062,plain,
( spl0_89
| spl0_117
| spl0_275 ),
inference(avatar_split_clause,[],[f40659,f12135,f3322,f1964]) ).
thf(f42063,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f40669,f27]) ).
thf(f42068,plain,
( spl0_243
| ~ spl0_36
| spl0_89
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f41025,f6909,f1964,f457,f8443]) ).
thf(f42164,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_303 ),
inference(constrained_superposition,[],[f29,f13802]) ).
thf(f42166,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f42164]) ).
thf(f42226,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_275
| ~ spl0_425 ),
inference(constrained_superposition,[],[f33080,f40640]) ).
thf(f42233,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_275
| ~ spl0_425 ),
inference(trivial_inequality_removal,[],[f42226]) ).
thf(f42238,plain,
( ~ spl0_147
| spl0_275
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f42233,f33079,f12135,f4222]) ).
thf(f42262,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_267 ),
inference(constrained_superposition,[],[f28869,f176]) ).
thf(f42263,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f42262]) ).
thf(f42264,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f42263,f27]) ).
thf(f42271,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_166
| spl0_267 ),
inference(constrained_superposition,[],[f41314,f42264]) ).
thf(f42278,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_18
| spl0_267 ),
inference(constrained_superposition,[],[f226,f42264]) ).
thf(f42284,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_267 ),
inference(constrained_superposition,[],[f50,f42264]) ).
thf(f42285,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_267 ),
inference(constrained_superposition,[],[f43,f42264]) ).
thf(f42292,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f42285]) ).
thf(f42295,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_18
| spl0_267 ),
inference(trivial_inequality_removal,[],[f42278]) ).
thf(f42299,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_166
| spl0_267 ),
inference(trivial_inequality_removal,[],[f42271]) ).
thf(f42308,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f42284]) ).
thf(f42311,plain,
( spl0_283
| spl0_362
| ~ spl0_166
| spl0_267 ),
inference(avatar_split_clause,[],[f42299,f12105,f6075,f19066,f12170]) ).
thf(f42352,plain,
( spl0_286
| spl0_354
| ~ spl0_166
| spl0_275 ),
inference(avatar_split_clause,[],[f41730,f12135,f6075,f17437,f12181]) ).
thf(f42353,plain,
( spl0_161
| spl0_286
| spl0_275 ),
inference(avatar_split_clause,[],[f41396,f12135,f12181,f5623]) ).
thf(f42354,plain,
( spl0_278
| ~ spl0_48
| ~ spl0_23
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f41249,f39394,f302,f694,f12147]) ).
thf(f42361,plain,
( spl0_395
| spl0_68
| spl0_267 ),
inference(avatar_split_clause,[],[f42292,f12105,f1584,f22125]) ).
thf(f42362,plain,
( spl0_416
| spl0_61
| ~ spl0_18
| spl0_267 ),
inference(avatar_split_clause,[],[f42295,f12105,f225,f1555,f32083]) ).
thf(f42430,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_286 ),
inference(constrained_superposition,[],[f17347,f176]) ).
thf(f42431,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f42430]) ).
thf(f42432,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f42431,f27]) ).
thf(f42433,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_166
| spl0_286 ),
inference(constrained_superposition,[],[f6076,f42432]) ).
thf(f42443,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(constrained_superposition,[],[f204,f42432]) ).
thf(f42459,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f42443]) ).
thf(f42471,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_166
| spl0_286 ),
inference(trivial_inequality_removal,[],[f42433]) ).
thf(f42479,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_111
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f42459,f27763]) ).
thf(f42480,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_166
| spl0_275
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f42471,f40640]) ).
thf(f42482,plain,
( spl0_208
| spl0_111
| spl0_286 ),
inference(avatar_split_clause,[],[f42479,f12181,f3292,f7085]) ).
thf(f42483,plain,
( spl0_354
| ~ spl0_166
| spl0_275
| spl0_286 ),
inference(avatar_split_clause,[],[f42480,f12181,f12135,f6075,f17437]) ).
thf(f42505,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_288 ),
inference(constrained_superposition,[],[f40934,f12190]) ).
thf(f42507,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_266
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f42505]) ).
thf(f42509,plain,
( spl0_376
| ~ spl0_266
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f42507,f12189,f11926,f21515]) ).
thf(f42556,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_60
| ~ spl0_264 ),
inference(constrained_superposition,[],[f1553,f11920]) ).
thf(f42560,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f204,f11920]) ).
thf(f42561,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_264 ),
inference(constrained_superposition,[],[f226,f11920]) ).
thf(f42562,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f432,f11920]) ).
thf(f42567,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f50,f11920]) ).
thf(f42577,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f42556]) ).
thf(f42578,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f42562]) ).
thf(f42579,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_18
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f42561]) ).
thf(f42583,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f42560]) ).
thf(f42591,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f42567]) ).
thf(f42595,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_264
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f42577,f23780]) ).
thf(f42601,plain,
( spl0_291
| ~ spl0_60
| ~ spl0_264
| spl0_275 ),
inference(avatar_split_clause,[],[f42595,f12135,f11919,f1552,f12205]) ).
thf(f42698,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_161
| spl0_275 ),
inference(constrained_superposition,[],[f5624,f40640]) ).
thf(f42704,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161
| spl0_275 ),
inference(trivial_inequality_removal,[],[f42698]) ).
thf(f42715,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_161
| ~ spl0_264
| spl0_275 ),
inference(constrained_superposition,[],[f42704,f11920]) ).
thf(f42723,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_161
| ~ spl0_264
| spl0_275 ),
inference(trivial_inequality_removal,[],[f42715]) ).
thf(f42730,plain,
( $false
| ~ spl0_161
| ~ spl0_264
| spl0_267
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f42723,f42264]) ).
thf(f42731,plain,
( ~ spl0_161
| ~ spl0_264
| spl0_267
| spl0_275 ),
inference(avatar_contradiction_clause,[],[f42730]) ).
thf(f42734,plain,
( spl0_111
| spl0_273
| ~ spl0_18
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f42579,f11919,f225,f12128,f3292]) ).
thf(f42737,plain,
( ~ spl0_94
| ~ spl0_70
| spl0_286
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f39905,f3808,f12181,f1591,f2092]) ).
thf(f42739,plain,
( spl0_282
| spl0_148
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f42578,f11919,f4233,f12165]) ).
thf(f42741,plain,
( spl0_313
| spl0_414
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f42591,f11919,f31184,f13932]) ).
thf(f42742,plain,
( spl0_195
| spl0_414
| spl0_267 ),
inference(avatar_split_clause,[],[f42308,f12105,f31184,f7023]) ).
thf(f42744,plain,
( spl0_271
| spl0_111
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f42583,f11919,f3292,f12120]) ).
thf(f42790,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| ~ spl0_265 ),
inference(constrained_superposition,[],[f1553,f11924]) ).
thf(f42820,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f42790]) ).
thf(f42823,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_265
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f42820,f28869]) ).
thf(f42825,plain,
( spl0_291
| ~ spl0_60
| ~ spl0_265
| spl0_267 ),
inference(avatar_split_clause,[],[f42823,f12105,f11923,f1552,f12205]) ).
thf(f42882,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f29,f56]) ).
thf(f42884,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ z @ X2 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f42882]) ).
thf(f42891,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f121,f74]) ).
thf(f42894,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f42891]) ).
thf(f42898,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f6925,f75]) ).
thf(f42902,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f42898]) ).
thf(f42975,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_403 ),
inference(constrained_superposition,[],[f27769,f74]) ).
thf(f42984,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f42975]) ).
thf(f43030,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_409 ),
inference(constrained_superposition,[],[f28848,f1293]) ).
thf(f43031,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_409 ),
inference(constrained_superposition,[],[f28848,f175]) ).
thf(f43035,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_409 ),
inference(trivial_inequality_removal,[],[f43030]) ).
thf(f43039,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_409 ),
inference(trivial_inequality_removal,[],[f43031]) ).
thf(f43093,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_412 ),
inference(constrained_superposition,[],[f29479,f36]) ).
thf(f43099,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_412 ),
inference(trivial_inequality_removal,[],[f43093]) ).
thf(f43105,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ z @ X1 )
= $true )
| ( z = X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_4
| ~ spl0_150 ),
inference(constrained_superposition,[],[f4252,f20906]) ).
thf(f43108,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z = X1 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
= $true ) )
| ~ spl0_4
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f43105]) ).
thf(f43116,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_284 ),
inference(constrained_superposition,[],[f42884,f12175]) ).
thf(f43122,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_2
| ~ spl0_72 ),
inference(constrained_superposition,[],[f42884,f1599]) ).
thf(f43123,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_136 ),
inference(constrained_superposition,[],[f42884,f3841]) ).
thf(f43130,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f43123]) ).
thf(f43131,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f43116]) ).
thf(f43138,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f43122]) ).
thf(f43183,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f42894,f175]) ).
thf(f43188,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f43183]) ).
thf(f43199,plain,
( ~ spl0_36
| spl0_30
| ~ spl0_23
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f43188,f120,f302,f436,f457]) ).
thf(f43202,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f42902,f174]) ).
thf(f43203,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f42902,f1292]) ).
thf(f43204,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_177
| spl0_275 ),
inference(constrained_superposition,[],[f42902,f40640]) ).
thf(f43215,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f43203]) ).
thf(f43221,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_177
| spl0_275 ),
inference(trivial_inequality_removal,[],[f43204]) ).
thf(f43222,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f43202]) ).
thf(f43226,plain,
( ~ spl0_48
| spl0_25
| ~ spl0_36
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f43222,f6924,f457,f325,f694]) ).
thf(f43227,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f502,f175]) ).
thf(f43228,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f502,f74]) ).
thf(f43230,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f502,f35]) ).
thf(f43235,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f43227]) ).
thf(f43236,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f43228]) ).
thf(f43238,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f43230]) ).
thf(f43252,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_284
| ~ spl0_303 ),
inference(constrained_superposition,[],[f42166,f12175]) ).
thf(f43260,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_284
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f43252]) ).
thf(f43314,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_279 ),
inference(constrained_superposition,[],[f12151,f1292]) ).
thf(f43328,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f43314]) ).
thf(f43407,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_265
| ~ spl0_335 ),
inference(constrained_superposition,[],[f15358,f11924]) ).
thf(f43414,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_265
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f43407]) ).
thf(f43420,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_265
| spl0_275
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f43414,f40640]) ).
thf(f43421,plain,
( ~ spl0_147
| ~ spl0_265
| spl0_275
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f43420,f15357,f12135,f11923,f4222]) ).
thf(f43427,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f4210,f175]) ).
thf(f43428,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f4210,f75]) ).
thf(f43433,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f43428]) ).
thf(f43437,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f43427]) ).
thf(f43449,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_415 ),
inference(constrained_superposition,[],[f31540,f174]) ).
thf(f43458,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f43449]) ).
thf(f43470,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_441 ),
inference(constrained_superposition,[],[f40752,f74]) ).
thf(f43481,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_441 ),
inference(trivial_inequality_removal,[],[f43470]) ).
thf(f43490,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_291 ),
inference(constrained_superposition,[],[f12206,f75]) ).
thf(f43499,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f43490]) ).
thf(f43545,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_396 ),
inference(constrained_superposition,[],[f23066,f1293]) ).
thf(f43549,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f43545]) ).
thf(f43588,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_14
| spl0_275 ),
inference(constrained_superposition,[],[f211,f40640]) ).
thf(f43607,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| spl0_275 ),
inference(trivial_inequality_removal,[],[f43588]) ).
thf(f43638,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f4218,f1293]) ).
thf(f43644,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f43638]) ).
thf(f43661,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f7040,f74]) ).
thf(f43669,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f7040,f1293]) ).
thf(f43670,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f7040,f175]) ).
thf(f43678,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f43670]) ).
thf(f43680,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_198 ),
inference(duplicate_literal_removal,[],[f43661]) ).
thf(f43681,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f43680]) ).
thf(f43687,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f43669]) ).
thf(f43691,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f43681,f174]) ).
thf(f43715,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f43691]) ).
thf(f43716,plain,
( ~ spl0_48
| ~ spl0_36
| spl0_47
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f43715,f7039,f691,f457,f694]) ).
thf(f43763,plain,
( ~ spl0_17
| spl0_95
| spl0_307
| ~ spl0_2
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f43131,f12174,f55,f13780,f2306,f222]) ).
thf(f43764,plain,
( ~ spl0_119
| spl0_283
| ~ spl0_70
| ~ spl0_409 ),
inference(avatar_split_clause,[],[f43035,f28847,f1591,f12170,f3330]) ).
thf(f43765,plain,
( spl0_29
| ~ spl0_6
| spl0_195
| ~ spl0_2
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f43138,f1598,f55,f7023,f92,f368]) ).
thf(f43766,plain,
( ~ spl0_54
| spl0_145
| ~ spl0_23
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f42984,f27768,f302,f4212,f997]) ).
thf(f43767,plain,
( spl0_58
| spl0_305
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f43687,f7039,f13768,f1545]) ).
thf(f43769,plain,
( ~ spl0_22
| ~ spl0_84
| spl0_313
| ~ spl0_412 ),
inference(avatar_split_clause,[],[f43099,f29478,f13932,f1828,f271]) ).
thf(f43770,plain,
( spl0_13
| spl0_357
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f43678,f7039,f17667,f207]) ).
thf(f43771,plain,
( spl0_145
| ~ spl0_54
| ~ spl0_70
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f43481,f40751,f1591,f997,f4212]) ).
thf(f43772,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_275
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f43328,f40640]) ).
thf(f43773,plain,
( ~ spl0_120
| ~ spl0_147
| spl0_61
| ~ spl0_14
| spl0_275 ),
inference(avatar_split_clause,[],[f43607,f12135,f210,f1555,f4222,f3341]) ).
thf(f43775,plain,
( spl0_313
| spl0_174
| spl0_275 ),
inference(avatar_split_clause,[],[f41394,f12135,f6909,f13932]) ).
thf(f43776,plain,
( spl0_436
| spl0_148
| ~ spl0_36
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f43437,f4209,f457,f4233,f38052]) ).
thf(f43780,plain,
( ~ spl0_344
| ~ spl0_48
| spl0_293
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f43499,f12205,f12214,f694,f16849]) ).
thf(f43781,plain,
( spl0_29
| ~ spl0_6
| spl0_313
| ~ spl0_2
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f43130,f3840,f55,f13932,f92,f368]) ).
thf(f43782,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f42063,f27]) ).
thf(f43785,definition,
( spl0_445
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_445])],[avatar_definition]) ).
thf(f43786,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_445 ),
inference(avatar_component_clause,[],[f43785]) ).
thf(f43795,plain,
( spl0_17
| spl0_99
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f43238,f501,f2488,f222]) ).
thf(f43796,plain,
( spl0_95
| ~ spl0_17
| ~ spl0_284
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f43260,f13759,f12174,f222,f2306]) ).
thf(f43797,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( z = X1 )
| ( ( r @ z @ X1 )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_4
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f43108,f27]) ).
thf(f43801,plain,
( ~ spl0_94
| spl0_354
| spl0_286
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f43644,f4217,f12181,f17437,f2092]) ).
thf(f43803,plain,
( spl0_267
| ~ spl0_119
| spl0_275
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f43772,f12150,f12135,f3330,f12105]) ).
thf(f43804,plain,
( spl0_195
| spl0_313
| ~ spl0_119
| ~ spl0_4
| spl0_275 ),
inference(avatar_split_clause,[],[f43782,f12135,f67,f3330,f13932,f7023]) ).
thf(f43806,plain,
( spl0_393
| spl0_29
| spl0_68
| ~ spl0_181
| ~ spl0_4
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f43797,f4251,f67,f6941,f1584,f368,f21847]) ).
thf(f43836,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17
| ~ spl0_192 ),
inference(constrained_superposition,[],[f38087,f223]) ).
thf(f43837,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f29,f223]) ).
thf(f43838,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f43837]) ).
thf(f43839,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_17
| ~ spl0_192 ),
inference(duplicate_literal_removal,[],[f43836]) ).
thf(f43840,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_17
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f43839]) ).
thf(f43908,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_17
| ~ spl0_61
| ~ spl0_192 ),
inference(constrained_superposition,[],[f43840,f1556]) ).
thf(f43916,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_17
| ~ spl0_61
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f43908]) ).
thf(f43935,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_286 ),
inference(constrained_superposition,[],[f17347,f176]) ).
thf(f43936,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f43935]) ).
thf(f43937,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f43936,f27]) ).
thf(f43944,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_144
| spl0_286 ),
inference(constrained_superposition,[],[f4210,f43937]) ).
thf(f43960,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| spl0_286 ),
inference(constrained_superposition,[],[f87,f43937]) ).
thf(f43962,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| spl0_286 ),
inference(constrained_superposition,[],[f43,f43937]) ).
thf(f43971,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f43960]) ).
thf(f43973,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| spl0_286 ),
inference(trivial_inequality_removal,[],[f43962]) ).
thf(f43981,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_144
| spl0_286 ),
inference(trivial_inequality_removal,[],[f43944]) ).
thf(f43997,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_286
| spl0_309 ),
inference(forward_subsumption_resolution,[],[f43973,f13791]) ).
thf(f43998,plain,
( ~ spl0_119
| spl0_354
| ~ spl0_144
| spl0_286 ),
inference(avatar_split_clause,[],[f43981,f12181,f4209,f17437,f3330]) ).
thf(f44003,plain,
( spl0_163
| spl0_286
| spl0_309 ),
inference(avatar_split_clause,[],[f43997,f13790,f12181,f5631]) ).
thf(f44016,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f23846,f1293]) ).
thf(f44017,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f23846,f175]) ).
thf(f44022,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f44017]) ).
thf(f44027,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f44016]) ).
thf(f44049,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_149 ),
inference(constrained_superposition,[],[f4242,f35]) ).
thf(f44053,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f44049]) ).
thf(f44060,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_149
| spl0_309 ),
inference(forward_subsumption_resolution,[],[f44053,f13791]) ).
thf(f44061,plain,
( ~ spl0_22
| ~ spl0_149
| spl0_309 ),
inference(avatar_split_clause,[],[f44060,f13790,f4241,f271]) ).
thf(f44062,plain,
( spl0_145
| spl0_171
| spl0_286 ),
inference(avatar_split_clause,[],[f43971,f12181,f6856,f4212]) ).
thf(f44092,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_275
| ~ spl0_431 ),
inference(constrained_superposition,[],[f34318,f40640]) ).
thf(f44096,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_275
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f44092]) ).
thf(f44104,plain,
( ~ spl0_285
| spl0_275
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f44096,f34317,f12135,f12177]) ).
thf(f44117,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_263 ),
inference(constrained_superposition,[],[f29,f11917]) ).
thf(f44118,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f44117]) ).
thf(f44183,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f7063,f75]) ).
thf(f44189,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f44183]) ).
thf(f44205,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161
| spl0_275 ),
inference(constrained_superposition,[],[f5624,f40640]) ).
thf(f44209,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161
| spl0_275 ),
inference(trivial_inequality_removal,[],[f44205]) ).
thf(f44222,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161
| spl0_275 ),
inference(constrained_superposition,[],[f44209,f175]) ).
thf(f44231,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_161
| spl0_275 ),
inference(trivial_inequality_removal,[],[f44222]) ).
thf(f44233,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_148
| ~ spl0_161
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f44231,f16327]) ).
thf(f44234,plain,
( ~ spl0_82
| spl0_148
| ~ spl0_161
| spl0_275 ),
inference(avatar_split_clause,[],[f44233,f12135,f5623,f4233,f1820]) ).
thf(f44235,plain,
( ~ spl0_84
| spl0_286
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f44027,f23845,f12181,f1828]) ).
thf(f44236,plain,
( ~ spl0_68
| ~ spl0_17
| ~ spl0_61
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f43916,f7012,f1555,f222,f1584]) ).
thf(f44239,plain,
( spl0_286
| spl0_412
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f43549,f23065,f29478,f12181]) ).
thf(f44241,plain,
( ~ spl0_54
| spl0_20
| spl0_21
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f44189,f7062,f268,f256,f997]) ).
thf(f44242,plain,
( spl0_403
| spl0_111
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f43458,f31539,f3292,f27768]) ).
thf(f44246,plain,
( ~ spl0_22
| ~ spl0_50
| spl0_313
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f39901,f3808,f13932,f701,f271]) ).
thf(f44247,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_148
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f44022,f16327]) ).
thf(f44250,plain,
( ~ spl0_50
| spl0_148
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f44247,f23845,f4233,f701]) ).
thf(f44262,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_150
| ~ spl0_195 ),
inference(constrained_superposition,[],[f4252,f7024]) ).
thf(f44263,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f29,f7024]) ).
thf(f44264,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_150
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f44262]) ).
thf(f44266,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f44263]) ).
thf(f44287,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_82 ),
inference(constrained_superposition,[],[f1821,f37]) ).
thf(f44292,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_82 ),
inference(trivial_inequality_removal,[],[f44287]) ).
thf(f44295,plain,
( spl0_28
| spl0_89
| spl0_82 ),
inference(avatar_split_clause,[],[f44292,f1820,f1964,f363]) ).
thf(f44339,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_147 ),
inference(constrained_superposition,[],[f4223,f30]) ).
thf(f44343,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_147 ),
inference(trivial_inequality_removal,[],[f44339]) ).
thf(f44346,plain,
( spl0_295
| spl0_111
| spl0_147 ),
inference(avatar_split_clause,[],[f44343,f4222,f3292,f12805]) ).
thf(f44372,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_276 ),
inference(constrained_superposition,[],[f12140,f30]) ).
thf(f44374,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_276 ),
inference(trivial_inequality_removal,[],[f44372]) ).
thf(f44377,plain,
( spl0_296
| spl0_286
| spl0_276 ),
inference(avatar_split_clause,[],[f44374,f12139,f12181,f12887]) ).
thf(f44382,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_286
| ~ spl0_318 ),
inference(constrained_superposition,[],[f14717,f12182]) ).
thf(f44383,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f29,f12182]) ).
thf(f44384,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_286
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f44382]) ).
thf(f44385,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f44383]) ).
thf(f44408,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f29,f12175]) ).
thf(f44409,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 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f44408]) ).
thf(f44422,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_267 ),
inference(constrained_superposition,[],[f28869,f176]) ).
thf(f44423,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f44422]) ).
thf(f44424,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f44423,f27]) ).
thf(f44432,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_267 ),
inference(constrained_superposition,[],[f87,f44424]) ).
thf(f44446,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f44432]) ).
thf(f44453,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_58
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f44446,f3477]) ).
thf(f44454,plain,
( spl0_270
| spl0_58
| spl0_267 ),
inference(avatar_split_clause,[],[f44453,f12105,f1545,f12116]) ).
thf(f44470,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_177
| ~ spl0_265 ),
inference(constrained_superposition,[],[f42902,f11924]) ).
thf(f44477,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f1543,f11924]) ).
thf(f44482,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f87,f11924]) ).
thf(f44483,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f50,f11924]) ).
thf(f44487,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_265 ),
inference(constrained_superposition,[],[f11347,f11924]) ).
thf(f44492,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f44483]) ).
thf(f44493,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f44477]) ).
thf(f44495,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f44487]) ).
thf(f44498,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f44482]) ).
thf(f44500,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_177
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f44470]) ).
thf(f44532,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_445 ),
inference(constrained_superposition,[],[f43786,f1293]) ).
thf(f44533,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_445 ),
inference(constrained_superposition,[],[f43786,f175]) ).
thf(f44536,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_445 ),
inference(trivial_inequality_removal,[],[f44532]) ).
thf(f44540,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_445 ),
inference(trivial_inequality_removal,[],[f44533]) ).
thf(f44658,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_325 ),
inference(constrained_superposition,[],[f14911,f1293]) ).
thf(f44662,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f44658]) ).
thf(f44671,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_439 ),
inference(constrained_superposition,[],[f39421,f1292]) ).
thf(f44675,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_439 ),
inference(constrained_superposition,[],[f39421,f35]) ).
thf(f44679,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f44675]) ).
thf(f44682,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f44671]) ).
thf(f44691,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_353 ),
inference(constrained_superposition,[],[f17433,f75]) ).
thf(f44692,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_353 ),
inference(constrained_superposition,[],[f17433,f36]) ).
thf(f44694,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f44691]) ).
thf(f44699,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f44692]) ).
thf(f44701,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_89
| ~ spl0_195 ),
inference(constrained_superposition,[],[f44266,f1965]) ).
thf(f44707,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_89
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f44701]) ).
thf(f44714,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_17
| ~ spl0_89
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f44707,f223]) ).
thf(f44717,plain,
( spl0_164
| ~ spl0_17
| ~ spl0_89
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f44714,f7023,f1964,f222,f5656]) ).
thf(f44721,plain,
( ~ spl0_83
| ~ spl0_119
| spl0_136
| ~ spl0_177
| spl0_275 ),
inference(avatar_split_clause,[],[f43221,f12135,f6924,f3840,f3330,f1824]) ).
thf(f44723,plain,
( ~ spl0_83
| spl0_267
| ~ spl0_94
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f44682,f39420,f2092,f12105,f1824]) ).
thf(f44724,plain,
( spl0_29
| ~ spl0_181
| ~ spl0_150
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f44264,f7023,f4251,f6941,f368]) ).
thf(f44725,plain,
( spl0_283
| ~ spl0_70
| ~ spl0_94
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f44662,f14910,f2092,f1591,f12170]) ).
thf(f44726,plain,
( ~ spl0_401
| ~ spl0_349
| spl0_136
| ~ spl0_177
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f44500,f11923,f6924,f3840,f17202,f27493]) ).
thf(f44729,plain,
( ~ spl0_83
| ~ spl0_48
| spl0_136
| ~ spl0_353 ),
inference(avatar_split_clause,[],[f44694,f17432,f3840,f694,f1824]) ).
thf(f44731,plain,
( ~ spl0_83
| spl0_86
| ~ spl0_119
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f43215,f6924,f3330,f1945,f1824]) ).
thf(f44732,plain,
( spl0_396
| spl0_278
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f44498,f11923,f12147,f23065]) ).
thf(f44733,plain,
( spl0_267
| spl0_346
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f44493,f11923,f17190,f12105]) ).
thf(f44740,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f29,f6942]) ).
thf(f44741,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f44740]) ).
thf(f44744,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_17
| ~ spl0_20 ),
inference(constrained_superposition,[],[f43838,f257]) ).
thf(f44747,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_17
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f44744]) ).
thf(f44772,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_309 ),
inference(constrained_superposition,[],[f29,f14427]) ).
thf(f44774,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f44772]) ).
thf(f44775,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_293 ),
inference(constrained_superposition,[],[f369,f12215]) ).
thf(f44778,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f44775]) ).
thf(f44781,plain,
( $false
| ~ spl0_29
| ~ spl0_293
| ~ spl0_370 ),
inference(forward_subsumption_resolution,[],[f44778,f20562]) ).
thf(f44782,plain,
( ~ spl0_29
| ~ spl0_293
| ~ spl0_370 ),
inference(avatar_contradiction_clause,[],[f44781]) ).
thf(f44783,plain,
( spl0_307
| spl0_415
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f44492,f11923,f31539,f13780]) ).
thf(f44784,plain,
( ~ spl0_84
| ~ spl0_50
| spl0_313
| ~ spl0_353 ),
inference(avatar_split_clause,[],[f44699,f17432,f13932,f701,f1828]) ).
thf(f44786,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f44495,f27]) ).
thf(f44788,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f44786,f27]) ).
thf(f44789,plain,
( ~ spl0_349
| spl0_313
| spl0_307
| ~ spl0_4
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f44788,f11923,f67,f13780,f13932,f17202]) ).
thf(f44857,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f131,f74]) ).
thf(f44859,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f44857]) ).
thf(f44888,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_267
| ~ spl0_301 ),
inference(constrained_superposition,[],[f13157,f12106]) ).
thf(f44891,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_267 ),
inference(constrained_superposition,[],[f29,f12106]) ).
thf(f44892,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_267
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f44888]) ).
thf(f44893,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f44891]) ).
thf(f44896,plain,
( $false
| ~ spl0_89
| ~ spl0_267
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f44892,f1965]) ).
thf(f44897,plain,
( ~ spl0_89
| ~ spl0_267
| ~ spl0_301 ),
inference(avatar_contradiction_clause,[],[f44896]) ).
thf(f44950,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_10
| spl0_275 ),
inference(constrained_superposition,[],[f44859,f40640]) ).
thf(f44953,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f44859,f175]) ).
thf(f44962,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_10
| spl0_275 ),
inference(trivial_inequality_removal,[],[f44950]) ).
thf(f44965,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f44953]) ).
thf(f44967,plain,
( ~ spl0_23
| spl0_30
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f44965,f130,f436,f302]) ).
thf(f45012,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_279 ),
inference(constrained_superposition,[],[f12151,f74]) ).
thf(f45020,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f45012]) ).
thf(f45057,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_91
| spl0_275 ),
inference(constrained_superposition,[],[f1972,f40640]) ).
thf(f45063,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_91
| spl0_275 ),
inference(trivial_inequality_removal,[],[f45057]) ).
thf(f45109,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_415 ),
inference(constrained_superposition,[],[f31540,f74]) ).
thf(f45114,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f45109]) ).
thf(f45123,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_145
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f45114,f13775]) ).
thf(f45125,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| spl0_145
| ~ spl0_415 ),
inference(constrained_superposition,[],[f45123,f1292]) ).
thf(f45137,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_145
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f45125]) ).
thf(f45143,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_145
| spl0_275
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f45137,f23780]) ).
thf(f45144,plain,
( ~ spl0_119
| ~ spl0_83
| spl0_145
| spl0_275
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f45143,f31539,f12135,f4212,f1824,f3330]) ).
thf(f45145,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_303
| ~ spl0_439 ),
inference(forward_subsumption_resolution,[],[f44679,f13760]) ).
thf(f45149,plain,
( ~ spl0_54
| ~ spl0_50
| spl0_303
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f45145,f39420,f13759,f701,f997]) ).
thf(f45175,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_364 ),
inference(constrained_superposition,[],[f19232,f36]) ).
thf(f45181,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f45175]) ).
thf(f45191,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_266 ),
inference(constrained_superposition,[],[f29,f11927]) ).
thf(f45192,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 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f45191]) ).
thf(f45212,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275
| ~ spl0_357 ),
inference(constrained_superposition,[],[f17668,f40640]) ).
thf(f45214,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_357 ),
inference(constrained_superposition,[],[f17668,f74]) ).
thf(f45225,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f45214]) ).
thf(f45226,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_275
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f45212]) ).
thf(f45228,plain,
( spl0_30
| ~ spl0_23
| ~ spl0_54
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f45225,f17667,f997,f302,f436]) ).
thf(f45249,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f90,f174]) ).
thf(f45251,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_5
| spl0_275 ),
inference(constrained_superposition,[],[f90,f40640]) ).
thf(f45256,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_5
| spl0_275 ),
inference(trivial_inequality_removal,[],[f45251]) ).
thf(f45257,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f45249]) ).
thf(f45284,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f17196,f174]) ).
thf(f45297,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f45284]) ).
thf(f45315,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 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f7016,f174]) ).
thf(f45324,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 != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_193 ),
inference(duplicate_literal_removal,[],[f45315]) ).
thf(f45325,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f45324]) ).
thf(f45336,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_193
| spl0_275 ),
inference(constrained_superposition,[],[f45325,f40640]) ).
thf(f45338,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
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f45325,f74]) ).
thf(f45346,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f45338]) ).
thf(f45350,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_193
| spl0_275 ),
inference(trivial_inequality_removal,[],[f45336]) ).
thf(f45353,plain,
( spl0_47
| ~ spl0_54
| ~ spl0_23
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f45346,f7015,f302,f997,f691]) ).
thf(f45364,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_38
| spl0_275 ),
inference(constrained_superposition,[],[f43235,f40640]) ).
thf(f45375,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_38
| spl0_275 ),
inference(trivial_inequality_removal,[],[f45364]) ).
thf(f45383,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_267
| ~ spl0_284 ),
inference(constrained_superposition,[],[f44893,f12175]) ).
thf(f45386,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_267
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f45383]) ).
thf(f45435,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_284 ),
inference(constrained_superposition,[],[f44409,f11917]) ).
thf(f45440,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f45435]) ).
thf(f45443,plain,
( spl0_376
| ~ spl0_263
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f45440,f12174,f11916,f21515]) ).
thf(f45482,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_16
| spl0_275 ),
inference(constrained_superposition,[],[f219,f40640]) ).
thf(f45489,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_16
| spl0_275 ),
inference(trivial_inequality_removal,[],[f45482]) ).
thf(f45501,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_266 ),
inference(constrained_superposition,[],[f45192,f11917]) ).
thf(f45505,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_266 ),
inference(duplicate_literal_removal,[],[f45501]) ).
thf(f45506,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f45505]) ).
thf(f45583,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_72
| ~ spl0_246 ),
inference(constrained_superposition,[],[f3637,f8549]) ).
thf(f45605,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_72
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f45583]) ).
thf(f45628,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_62
| spl0_72
| ~ spl0_246 ),
inference(forward_subsumption_resolution,[],[f45605,f11876]) ).
thf(f45630,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_62
| spl0_72
| ~ spl0_246 ),
inference(forward_subsumption_resolution,[],[f45628,f27]) ).
thf(f45632,plain,
( $false
| spl0_62
| spl0_68
| spl0_72
| ~ spl0_246 ),
inference(forward_subsumption_resolution,[],[f45630,f3476]) ).
thf(f45633,plain,
( spl0_62
| spl0_68
| spl0_72
| ~ spl0_246 ),
inference(avatar_contradiction_clause,[],[f45632]) ).
thf(f45662,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_72
| ~ spl0_247 ),
inference(constrained_superposition,[],[f3637,f8557]) ).
thf(f45685,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_72
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f45662]) ).
thf(f45706,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_68
| spl0_72
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f45685,f3476]) ).
thf(f45707,plain,
( $false
| spl0_68
| spl0_72
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f45706,f27]) ).
thf(f45708,plain,
( spl0_68
| spl0_72
| ~ spl0_247 ),
inference(avatar_contradiction_clause,[],[f45707]) ).
thf(f45740,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_8
| spl0_72 ),
inference(constrained_superposition,[],[f3637,f124]) ).
thf(f45765,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_8
| spl0_72 ),
inference(trivial_inequality_removal,[],[f45740]) ).
thf(f45784,plain,
( $false
| ~ spl0_8
| spl0_68
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f45765,f3476]) ).
thf(f45785,plain,
( ~ spl0_8
| spl0_68
| spl0_72 ),
inference(avatar_contradiction_clause,[],[f45784]) ).
thf(f46051,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_383 ),
inference(constrained_superposition,[],[f21550,f11917]) ).
thf(f46055,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_89
| ~ spl0_383 ),
inference(constrained_superposition,[],[f21550,f1965]) ).
thf(f46072,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_89
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f46055]) ).
thf(f46076,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f46051]) ).
thf(f46080,plain,
( ( z
= ( s @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_89
| spl0_192
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f46072,f7230]) ).
thf(f46083,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_266
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f46076,f45506]) ).
thf(f46087,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_89
| spl0_192
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f46080,f27]) ).
thf(f46089,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_263
| ~ spl0_266
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f46083,f27]) ).
thf(f46092,plain,
( $false
| ~ spl0_89
| spl0_192
| ~ spl0_195
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f46087,f7024]) ).
thf(f46093,plain,
( ~ spl0_89
| spl0_192
| ~ spl0_195
| ~ spl0_383 ),
inference(avatar_contradiction_clause,[],[f46092]) ).
thf(f46096,plain,
( $false
| ~ spl0_263
| ~ spl0_266
| ~ spl0_313
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f46089,f13933]) ).
thf(f46097,plain,
( ~ spl0_263
| ~ spl0_266
| ~ spl0_313
| ~ spl0_383 ),
inference(avatar_contradiction_clause,[],[f46096]) ).
thf(f46284,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_148
| ~ spl0_235 ),
inference(constrained_superposition,[],[f16327,f7795]) ).
thf(f46312,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_148
| ~ spl0_235 ),
inference(trivial_inequality_removal,[],[f46284]) ).
thf(f46325,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_148
| ~ spl0_235 ),
inference(forward_subsumption_resolution,[],[f46312,f27]) ).
thf(f46328,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_145
| spl0_148
| ~ spl0_235 ),
inference(forward_subsumption_resolution,[],[f46325,f13775]) ).
thf(f46330,plain,
( $false
| spl0_62
| spl0_145
| spl0_148
| ~ spl0_235 ),
inference(forward_subsumption_resolution,[],[f46328,f11876]) ).
thf(f46331,plain,
( spl0_62
| spl0_145
| spl0_148
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f46330]) ).
thf(f46336,plain,
( spl0_313
| ~ spl0_54
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f45181,f19231,f997,f13932]) ).
thf(f46341,plain,
( spl0_111
| ~ spl0_82
| ~ spl0_119
| ~ spl0_193
| spl0_275 ),
inference(avatar_split_clause,[],[f45350,f12135,f7015,f3330,f1820,f3292]) ).
thf(f46342,plain,
( spl0_61
| spl0_412
| ~ spl0_16
| spl0_275 ),
inference(avatar_split_clause,[],[f45489,f12135,f218,f29478,f1555]) ).
thf(f46343,plain,
( ~ spl0_147
| spl0_115
| ~ spl0_91
| spl0_275 ),
inference(avatar_split_clause,[],[f45063,f12135,f1971,f3313,f4222]) ).
thf(f46344,plain,
( spl0_58
| ~ spl0_135
| ~ spl0_10
| spl0_275 ),
inference(avatar_split_clause,[],[f44962,f12135,f130,f3836,f1545]) ).
thf(f46345,plain,
( ~ spl0_68
| ~ spl0_58
| ~ spl0_286
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f44384,f14716,f12181,f1545,f1584]) ).
thf(f46346,plain,
( spl0_278
| ~ spl0_135
| ~ spl0_54
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f45020,f12150,f997,f3836,f12147]) ).
thf(f46347,plain,
( spl0_39
| spl0_13
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f43236,f501,f207,f539]) ).
thf(f46350,plain,
( spl0_164
| ~ spl0_89
| ~ spl0_267
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f45386,f12174,f12105,f1964,f5656]) ).
thf(f46352,plain,
( spl0_400
| spl0_111
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f45297,f17195,f3292,f27278]) ).
thf(f46354,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_148
| spl0_275
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f45226,f16327]) ).
thf(f46362,plain,
( spl0_355
| spl0_58
| ~ spl0_5
| spl0_275 ),
inference(avatar_split_clause,[],[f45256,f12135,f89,f1545,f17449]) ).
thf(f46363,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_17
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f44747,f256,f222,f92,f368]) ).
thf(f46368,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_38
| spl0_148
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f45375,f16327]) ).
thf(f46373,plain,
( ~ spl0_119
| ~ spl0_82
| spl0_148
| spl0_275
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f46354,f17667,f12135,f4233,f1820,f3330]) ).
thf(f46380,plain,
( ~ spl0_82
| ~ spl0_94
| ~ spl0_38
| spl0_148
| spl0_275 ),
inference(avatar_split_clause,[],[f46368,f12135,f4233,f501,f2092,f1820]) ).
thf(f46392,plain,
( spl0_136
| ~ spl0_54
| spl0_364
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f43433,f4209,f19231,f997,f3840]) ).
thf(f46423,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_72
| ~ spl0_195 ),
inference(constrained_superposition,[],[f44266,f1599]) ).
thf(f46424,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f29,f1599]) ).
thf(f46426,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f46424]) ).
thf(f46427,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_72
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f46423]) ).
thf(f46431,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_17
| ~ spl0_61 ),
inference(constrained_superposition,[],[f43838,f1556]) ).
thf(f46432,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_61 ),
inference(constrained_superposition,[],[f29,f1556]) ).
thf(f46434,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_17
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f46431]) ).
thf(f46435,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f46432]) ).
thf(f46454,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_135 ),
inference(constrained_superposition,[],[f3837,f30]) ).
thf(f46456,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_135 ),
inference(trivial_inequality_removal,[],[f46454]) ).
thf(f46459,plain,
( spl0_145
| spl0_290
| spl0_135 ),
inference(avatar_split_clause,[],[f46456,f3836,f12199,f4212]) ).
thf(f46460,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_145
| ~ spl0_286 ),
inference(constrained_superposition,[],[f44385,f4213]) ).
thf(f46463,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_145
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f46460]) ).
thf(f46483,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_267
| ~ spl0_307 ),
inference(constrained_superposition,[],[f44893,f13781]) ).
thf(f46486,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_307 ),
inference(constrained_superposition,[],[f29,f13781]) ).
thf(f46489,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_267
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f46483]) ).
thf(f46493,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f46486]) ).
thf(f46494,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_195
| ~ spl0_267
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f46489,f7024]) ).
thf(f46495,plain,
( spl0_141
| ~ spl0_195
| ~ spl0_267
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f46494,f13780,f12105,f7023,f4017]) ).
thf(f46496,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_44
| ~ spl0_284 ),
inference(constrained_superposition,[],[f567,f12175]) ).
thf(f46499,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_44
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f46496]) ).
thf(f46525,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f6849,f37]) ).
thf(f46527,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f46525]) ).
thf(f46535,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_284
| ~ spl0_288 ),
inference(constrained_superposition,[],[f44409,f12190]) ).
thf(f46542,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_284
| ~ spl0_288 ),
inference(duplicate_literal_removal,[],[f46535]) ).
thf(f46543,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_284
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f46542]) ).
thf(f46578,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_286 ),
inference(constrained_superposition,[],[f44385,f56]) ).
thf(f46589,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f46578]) ).
thf(f46596,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_286
| spl0_313 ),
inference(forward_subsumption_resolution,[],[f46589,f33436]) ).
thf(f46597,plain,
( spl0_368
| ~ spl0_2
| ~ spl0_286
| spl0_313 ),
inference(avatar_split_clause,[],[f46596,f13932,f12181,f55,f19834]) ).
thf(f46641,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_413 ),
inference(constrained_superposition,[],[f30641,f1292]) ).
thf(f46648,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f46641]) ).
thf(f46720,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f17450,f175]) ).
thf(f46721,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f17450,f75]) ).
thf(f46728,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f46720]) ).
thf(f46729,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f46721]) ).
thf(f46731,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_368 ),
inference(constrained_superposition,[],[f19835,f11917]) ).
thf(f46737,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f46731]) ).
thf(f46755,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_263
| ~ spl0_309 ),
inference(constrained_superposition,[],[f44774,f11917]) ).
thf(f46756,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_286
| ~ spl0_309 ),
inference(constrained_superposition,[],[f44774,f12182]) ).
thf(f46760,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_286
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f46756]) ).
thf(f46763,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_263
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f46755]) ).
thf(f46768,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_145
| ~ spl0_263
| ~ spl0_286 ),
inference(constrained_superposition,[],[f46463,f11917]) ).
thf(f46775,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_145
| ~ spl0_263
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f46768]) ).
thf(f46874,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_152
| ~ spl0_263 ),
inference(constrained_superposition,[],[f4271,f11917]) ).
thf(f46875,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_152
| ~ spl0_286 ),
inference(constrained_superposition,[],[f4271,f12182]) ).
thf(f46882,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_152
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f46874]) ).
thf(f46883,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_152
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f46875]) ).
thf(f46908,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_61
| ~ spl0_267 ),
inference(constrained_superposition,[],[f46435,f12106]) ).
thf(f46909,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_61
| ~ spl0_72 ),
inference(constrained_superposition,[],[f46435,f1599]) ).
thf(f46910,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_61
| ~ spl0_195 ),
inference(constrained_superposition,[],[f46435,f7024]) ).
thf(f46914,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_61
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f46908]) ).
thf(f46915,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_61
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f46910]) ).
thf(f46916,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_61
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f46909]) ).
thf(f46922,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_195 ),
inference(constrained_superposition,[],[f46426,f7024]) ).
thf(f46923,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X1 )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ z @ X1 )
= $true )
| ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_72 ),
inference(constrained_superposition,[],[f46426,f20906]) ).
thf(f46926,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z = X1 )
| ( ( r @ z @ X1 )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_4
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f46923]) ).
thf(f46929,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f46922]) ).
thf(f46943,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f15358,f75]) ).
thf(f46945,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f46943]) ).
thf(f47200,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_89
| ~ spl0_237 ),
inference(constrained_superposition,[],[f5082,f7802]) ).
thf(f47246,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_89
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f47200]) ).
thf(f47256,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_62
| spl0_89
| ~ spl0_237 ),
inference(forward_subsumption_resolution,[],[f47246,f11876]) ).
thf(f47262,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_58
| spl0_62
| spl0_89
| ~ spl0_237 ),
inference(forward_subsumption_resolution,[],[f47256,f3477]) ).
thf(f47271,plain,
( spl0_88
| spl0_58
| spl0_62
| spl0_89
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f47262,f7801,f1964,f1559,f1545,f1961]) ).
thf(f47314,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_275
| ~ spl0_393 ),
inference(constrained_superposition,[],[f23780,f21848]) ).
thf(f47317,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_89
| ~ spl0_393 ),
inference(constrained_superposition,[],[f5082,f21848]) ).
thf(f47325,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_275
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f47314]) ).
thf(f47333,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_89
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f47317]) ).
thf(f47341,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_275
| ~ spl0_393 ),
inference(forward_subsumption_resolution,[],[f47325,f27]) ).
thf(f47343,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_89
| ~ spl0_393 ),
inference(forward_subsumption_resolution,[],[f47333,f27]) ).
thf(f47345,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_275
| spl0_313
| ~ spl0_393 ),
inference(forward_subsumption_resolution,[],[f47341,f33436]) ).
thf(f47347,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_89
| spl0_192
| ~ spl0_393 ),
inference(forward_subsumption_resolution,[],[f47343,f7230]) ).
thf(f47349,plain,
( spl0_296
| spl0_275
| spl0_313
| ~ spl0_393 ),
inference(avatar_split_clause,[],[f47345,f21847,f13932,f12135,f12887]) ).
thf(f47351,plain,
( spl0_88
| spl0_89
| spl0_192
| ~ spl0_393 ),
inference(avatar_split_clause,[],[f47347,f21847,f7012,f1964,f1961]) ).
thf(f47477,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f29,f699]) ).
thf(f47488,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f47477]) ).
thf(f47499,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_49
| ~ spl0_267 ),
inference(constrained_superposition,[],[f47488,f12106]) ).
thf(f47503,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_49
| ~ spl0_72 ),
inference(constrained_superposition,[],[f47488,f1599]) ).
thf(f47505,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_49
| ~ spl0_195 ),
inference(constrained_superposition,[],[f47488,f7024]) ).
thf(f47514,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_49
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f47499]) ).
thf(f47523,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_49
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f47505]) ).
thf(f47524,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_49
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f47503]) ).
thf(f47614,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f46527,f37]) ).
thf(f47619,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f47614]) ).
thf(f47620,plain,
( spl0_187
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f47619,f6848,f6980]) ).
thf(f48156,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_103
| ~ spl0_263
| ~ spl0_266 ),
inference(constrained_superposition,[],[f45506,f2793]) ).
thf(f48215,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_103
| ~ spl0_263
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f48156]) ).
thf(f48219,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_309
| ~ spl0_380 ),
inference(constrained_superposition,[],[f21537,f14427]) ).
thf(f48223,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_309
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f48219]) ).
thf(f48229,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_309
| spl0_313
| ~ spl0_380 ),
inference(forward_subsumption_resolution,[],[f48223,f33436]) ).
thf(f48233,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_309
| spl0_313
| ~ spl0_380 ),
inference(forward_subsumption_resolution,[],[f48229,f27]) ).
thf(f48237,plain,
( spl0_290
| spl0_308
| ~ spl0_309
| spl0_313
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f48233,f21536,f13932,f13790,f13787,f12199]) ).
thf(f48319,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_187
| ~ spl0_376 ),
inference(constrained_superposition,[],[f21516,f6981]) ).
thf(f48320,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_187
| ~ spl0_263 ),
inference(constrained_superposition,[],[f44118,f6981]) ).
thf(f48323,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_187
| ~ spl0_263
| ~ spl0_266 ),
inference(constrained_superposition,[],[f45506,f6981]) ).
thf(f48324,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_187
| ~ spl0_284
| ~ spl0_288 ),
inference(constrained_superposition,[],[f46543,f6981]) ).
thf(f48344,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_187
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f48319]) ).
thf(f48352,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_187
| ~ spl0_284
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f48324]) ).
thf(f48362,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_187
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f48320]) ).
thf(f48371,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_187
| ~ spl0_263
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f48323]) ).
thf(f48374,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_187
| spl0_278
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f48344,f14146]) ).
thf(f48376,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_187
| spl0_278
| ~ spl0_284
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f48352,f14146]) ).
thf(f48377,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_187
| ~ spl0_263
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f48362,f12182]) ).
thf(f48380,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_187
| ~ spl0_263
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f48371,f27]) ).
thf(f48382,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_187
| spl0_278
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f48374,f27]) ).
thf(f48383,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_187
| spl0_278
| ~ spl0_284
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f48376,f27]) ).
thf(f48384,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_187
| ~ spl0_263
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f48377,f27]) ).
thf(f48387,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_187
| ~ spl0_263
| ~ spl0_266
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f48380,f12182]) ).
thf(f48392,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_61
| ~ spl0_187
| spl0_278
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f48382,f1556]) ).
thf(f48393,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_61
| ~ spl0_187
| spl0_278
| ~ spl0_284
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f48383,f1556]) ).
thf(f48394,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_187
| ~ spl0_263
| spl0_278
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f48384,f14146]) ).
thf(f48397,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_187
| ~ spl0_263
| ~ spl0_266
| spl0_278
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f48387,f14146]) ).
thf(f48398,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_61
| ~ spl0_187
| spl0_278
| ~ spl0_286
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f48392,f12182]) ).
thf(f48399,plain,
( spl0_360
| ~ spl0_61
| ~ spl0_187
| spl0_278
| ~ spl0_284
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f48393,f12189,f12174,f12147,f6980,f1555,f18168]) ).
thf(f48400,plain,
( spl0_306
| spl0_360
| ~ spl0_187
| ~ spl0_263
| spl0_278
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f48394,f12181,f12147,f11916,f6980,f18168,f13773]) ).
thf(f48405,plain,
( spl0_360
| ~ spl0_187
| ~ spl0_263
| ~ spl0_266
| spl0_278
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f48397,f12181,f12147,f11926,f11916,f6980,f18168]) ).
thf(f48406,plain,
( spl0_360
| ~ spl0_61
| ~ spl0_187
| spl0_278
| ~ spl0_286
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f48398,f21515,f12181,f12147,f6980,f1555,f18168]) ).
thf(f48473,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_360 ),
inference(constrained_superposition,[],[f175,f18169]) ).
thf(f48751,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_360 ),
inference(forward_subsumption_resolution,[],[f48473,f26]) ).
thf(f48777,plain,
( $false
| ~ spl0_360 ),
inference(forward_subsumption_resolution,[],[f48751,f31]) ).
thf(f48778,plain,
~ spl0_360,
inference(avatar_contradiction_clause,[],[f48777]) ).
thf(f48796,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f329,f36]) ).
thf(f48798,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f48796]) ).
thf(f48823,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_87
| spl0_275 ),
inference(constrained_superposition,[],[f1949,f40640]) ).
thf(f48827,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_87
| spl0_275 ),
inference(trivial_inequality_removal,[],[f48823]) ).
thf(f48883,definition,
( spl0_454
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_454])],[avatar_definition]) ).
thf(f48884,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_454 ),
inference(avatar_component_clause,[],[f48883]) ).
thf(f48940,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_9
| spl0_278 ),
inference(constrained_superposition,[],[f14146,f128]) ).
thf(f48941,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_307 ),
inference(constrained_superposition,[],[f46493,f128]) ).
thf(f48957,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f29,f128]) ).
thf(f48964,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_9
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f48941]) ).
thf(f48969,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f48957]) ).
thf(f48978,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_9
| spl0_278 ),
inference(trivial_inequality_removal,[],[f48940]) ).
thf(f48986,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_9
| ~ spl0_181
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f48964,f44741]) ).
thf(f48989,plain,
( $false
| ~ spl0_9
| ~ spl0_44
| spl0_278
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f48978,f46499]) ).
thf(f48990,plain,
( ~ spl0_9
| ~ spl0_44
| spl0_278
| ~ spl0_284 ),
inference(avatar_contradiction_clause,[],[f48989]) ).
thf(f48992,plain,
( spl0_331
| ~ spl0_9
| ~ spl0_181
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f48986,f13780,f6941,f127,f15114]) ).
thf(f48997,definition,
( spl0_455
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_455])],[avatar_definition]) ).
thf(f48998,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f48997]) ).
thf(f49005,plain,
( spl0_293
| ~ spl0_9
| spl0_278 ),
inference(avatar_split_clause,[],[f48978,f12147,f127,f12214]) ).
thf(f49023,plain,
( spl0_136
| ~ spl0_83
| ~ spl0_54
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f46729,f17449,f997,f1824,f3840]) ).
thf(f49025,plain,
( ~ spl0_20
| spl0_44
| ~ spl0_61
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f46916,f1598,f1555,f566,f256]) ).
thf(f49028,plain,
( spl0_301
| ~ spl0_288
| ~ spl0_61
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f46914,f12105,f1555,f12189,f13156]) ).
thf(f49030,plain,
( spl0_141
| ~ spl0_68
| ~ spl0_286
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f46760,f13790,f12181,f1584,f4017]) ).
thf(f49031,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
= $true )
| ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X1 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_4
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f46926,f27]) ).
thf(f49032,plain,
( ~ spl0_135
| spl0_149
| ~ spl0_87
| spl0_275 ),
inference(avatar_split_clause,[],[f48827,f12135,f1948,f4241,f3836]) ).
thf(f49034,plain,
( ~ spl0_83
| spl0_293
| ~ spl0_48
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f46945,f15357,f694,f12214,f1824]) ).
thf(f49038,definition,
( spl0_457
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_457])],[avatar_definition]) ).
thf(f49039,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_457 ),
inference(avatar_component_clause,[],[f49038]) ).
thf(f49044,plain,
( spl0_44
| ~ spl0_20
| spl0_68
| ~ spl0_49
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f47524,f1598,f698,f1584,f256,f566]) ).
thf(f49047,plain,
( ~ spl0_68
| spl0_141
| ~ spl0_17
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f46434,f1555,f222,f4017,f1584]) ).
thf(f49050,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_103
| ~ spl0_263
| ~ spl0_266
| spl0_278 ),
inference(forward_subsumption_resolution,[],[f48215,f14146]) ).
thf(f49053,definition,
( spl0_458
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_458])],[avatar_definition]) ).
thf(f49054,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_458 ),
inference(avatar_component_clause,[],[f49053]) ).
thf(f49059,plain,
( ~ spl0_58
| spl0_143
| ~ spl0_152
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f46883,f12181,f4270,f4024,f1545]) ).
thf(f49060,plain,
( ~ spl0_192
| spl0_95
| spl0_68
| ~ spl0_49
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f47523,f7023,f698,f1584,f2306,f7012]) ).
thf(f49061,plain,
( ~ spl0_192
| spl0_95
| ~ spl0_61
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f46915,f7023,f1555,f2306,f7012]) ).
thf(f49065,plain,
( spl0_192
| ~ spl0_22
| spl0_358
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f48798,f328,f17760,f271,f7012]) ).
thf(f49068,plain,
( spl0_141
| ~ spl0_181
| ~ spl0_72
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f46929,f7023,f1598,f6941,f4017]) ).
thf(f49071,plain,
( spl0_301
| spl0_68
| ~ spl0_288
| ~ spl0_49
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f47514,f12105,f698,f12189,f1584,f13156]) ).
thf(f49075,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_275
| ~ spl0_413 ),
inference(forward_subsumption_resolution,[],[f46648,f23780]) ).
thf(f49076,plain,
( ~ spl0_6
| spl0_143
| ~ spl0_72
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f46427,f7023,f1598,f4024,f92]) ).
thf(f49078,plain,
( spl0_393
| spl0_141
| ~ spl0_181
| spl0_68
| ~ spl0_4
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f49031,f1598,f67,f1584,f6941,f4017,f21847]) ).
thf(f49087,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_103
| ~ spl0_263
| ~ spl0_266
| spl0_278 ),
inference(forward_subsumption_resolution,[],[f49050,f27]) ).
thf(f49097,plain,
( ~ spl0_83
| ~ spl0_70
| spl0_275
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f49075,f30640,f12135,f1591,f1824]) ).
thf(f49102,plain,
( spl0_307
| ~ spl0_136
| ~ spl0_103
| ~ spl0_263
| ~ spl0_266
| spl0_278 ),
inference(avatar_split_clause,[],[f49087,f12147,f11926,f11916,f2647,f3840,f13780]) ).
thf(f49117,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_4
| spl0_181 ),
inference(constrained_superposition,[],[f8519,f20906]) ).
thf(f49118,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_4
| spl0_181 ),
inference(trivial_inequality_removal,[],[f49117]) ).
thf(f49124,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_20
| ~ spl0_103 ),
inference(constrained_superposition,[],[f1482,f2793]) ).
thf(f49125,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_20
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f49124]) ).
thf(f49157,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f53,f30]) ).
thf(f49160,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f49157]) ).
thf(f49162,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_293
| ~ spl0_376 ),
inference(constrained_superposition,[],[f21516,f12215]) ).
thf(f49164,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_267
| ~ spl0_293 ),
inference(constrained_superposition,[],[f44893,f12215]) ).
thf(f49167,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f29,f12215]) ).
thf(f49169,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_293
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f49162]) ).
thf(f49170,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_267
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f49164]) ).
thf(f49172,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f49167]) ).
thf(f49175,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_267
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f49170,f1599]) ).
thf(f49176,plain,
( spl0_143
| ~ spl0_72
| ~ spl0_267
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f49175,f12214,f12105,f1598,f4024]) ).
thf(f49232,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f29,f12175]) ).
thf(f49233,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 @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f49232]) ).
thf(f49242,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X1 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f49160,f30]) ).
thf(f49243,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f49160,f35]) ).
thf(f49244,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f49243]) ).
thf(f49245,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f49242]) ).
thf(f49246,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_49
| spl0_288 ),
inference(constrained_superposition,[],[f14144,f699]) ).
thf(f49248,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_49
| spl0_288 ),
inference(trivial_inequality_removal,[],[f49246]) ).
thf(f49250,plain,
( $false
| ~ spl0_49
| spl0_288
| spl0_303 ),
inference(forward_subsumption_resolution,[],[f49248,f13760]) ).
thf(f49251,plain,
( ~ spl0_49
| spl0_288
| spl0_303 ),
inference(avatar_contradiction_clause,[],[f49250]) ).
thf(f49359,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_297 ),
inference(constrained_superposition,[],[f1293,f12993]) ).
thf(f49527,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_297 ),
inference(forward_subsumption_resolution,[],[f49359,f26]) ).
thf(f49563,plain,
( $false
| ~ spl0_297 ),
inference(forward_subsumption_resolution,[],[f49527,f31]) ).
thf(f49564,plain,
~ spl0_297,
inference(avatar_contradiction_clause,[],[f49563]) ).
thf(f49594,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_458 ),
inference(constrained_superposition,[],[f49054,f36]) ).
thf(f49598,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_458 ),
inference(trivial_inequality_removal,[],[f49594]) ).
thf(f49674,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f555,f36]) ).
thf(f49676,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f49674]) ).
thf(f49791,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_9
| ~ spl0_263 ),
inference(constrained_superposition,[],[f48969,f11917]) ).
thf(f49807,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f49791]) ).
thf(f49838,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_267
| ~ spl0_284 ),
inference(constrained_superposition,[],[f49233,f12106]) ).
thf(f49842,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_267
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f49838]) ).
thf(f49845,plain,
( spl0_455
| ~ spl0_267
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f49842,f12174,f12105,f48997]) ).
thf(f49849,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_293
| ~ spl0_455 ),
inference(constrained_superposition,[],[f48998,f12215]) ).
thf(f49852,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_293
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f49849]) ).
thf(f49863,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f254,f174]) ).
thf(f49876,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f49863]) ).
thf(f49877,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f49876]) ).
thf(f49885,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f49245,f74]) ).
thf(f49900,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f49885]) ).
thf(f49934,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_8
| ~ spl0_195 ),
inference(constrained_superposition,[],[f44266,f124]) ).
thf(f49957,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_8
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f49934]) ).
thf(f50259,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f49244,f30]) ).
thf(f50267,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( z = X1 )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f50259]) ).
thf(f50345,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_1
| spl0_68 ),
inference(constrained_superposition,[],[f3476,f50267]) ).
thf(f50363,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_1
| spl0_68 ),
inference(trivial_inequality_removal,[],[f50345]) ).
thf(f50389,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_68
| ~ spl0_376 ),
inference(constrained_superposition,[],[f21516,f50363]) ).
thf(f50391,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_1
| spl0_68
| ~ spl0_263 ),
inference(constrained_superposition,[],[f44118,f50363]) ).
thf(f50393,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_68
| ~ spl0_263
| ~ spl0_266 ),
inference(constrained_superposition,[],[f45506,f50363]) ).
thf(f50416,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_68
| ~ spl0_263
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f50393]) ).
thf(f50418,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| spl0_68
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f50391]) ).
thf(f50431,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_68
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f50389]) ).
thf(f50433,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| spl0_68
| ~ spl0_263
| ~ spl0_266
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f50416,f12182]) ).
thf(f50434,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| spl0_68
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f50418,f27]) ).
thf(f50435,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_68
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f50431,f27]) ).
thf(f50436,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_68
| ~ spl0_263
| ~ spl0_266
| ~ spl0_286
| spl0_303 ),
inference(forward_subsumption_resolution,[],[f50433,f13760]) ).
thf(f50438,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_68
| ~ spl0_286
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f50435,f12182]) ).
thf(f50439,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_68
| ~ spl0_263
| ~ spl0_266
| ~ spl0_286
| spl0_303 ),
inference(forward_subsumption_resolution,[],[f50436,f27]) ).
thf(f50442,plain,
( spl0_339
| ~ spl0_1
| spl0_68
| ~ spl0_263
| ~ spl0_266
| ~ spl0_286
| spl0_303 ),
inference(avatar_split_clause,[],[f50439,f13759,f12181,f11926,f11916,f1584,f52,f15790]) ).
thf(f50447,plain,
( ~ spl0_303
| ~ spl0_267
| ~ spl0_263
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f46737,f19834,f11916,f12105,f13759]) ).
thf(f50449,plain,
( spl0_315
| ~ spl0_278
| ~ spl0_152
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f46882,f11916,f4270,f12147,f14148]) ).
thf(f50454,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| spl0_68
| ~ spl0_263
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f50434,f12182]) ).
thf(f50455,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f49900,f27]) ).
thf(f50460,plain,
( ~ spl0_278
| ~ spl0_267
| ~ spl0_145
| ~ spl0_263
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f46775,f12181,f11916,f4212,f12105,f12147]) ).
thf(f50468,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_8
| spl0_68
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f49957,f3476]) ).
thf(f50469,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_9
| spl0_136
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f49807,f15643]) ).
thf(f50470,plain,
( ~ spl0_22
| spl0_313
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f49598,f49053,f13932,f271]) ).
thf(f50471,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_4
| spl0_181 ),
inference(forward_subsumption_resolution,[],[f49118,f27]) ).
thf(f50472,plain,
( ~ spl0_303
| spl0_304
| ~ spl0_263
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f46763,f13790,f11916,f13762,f13759]) ).
thf(f50475,plain,
( ~ spl0_61
| spl0_339
| spl0_303
| ~ spl0_1
| spl0_68
| ~ spl0_286
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f50438,f21515,f12181,f1584,f52,f13759,f15790,f1555]) ).
thf(f50477,plain,
( spl0_303
| spl0_306
| spl0_339
| ~ spl0_1
| spl0_68
| ~ spl0_263
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f50454,f12181,f11916,f1584,f52,f15790,f13773,f13759]) ).
thf(f50478,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f50455,f27]) ).
thf(f50483,plain,
( ~ spl0_6
| spl0_143
| ~ spl0_8
| spl0_68
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f50468,f7023,f1584,f123,f4024,f92]) ).
thf(f50484,plain,
( ~ spl0_278
| spl0_315
| ~ spl0_9
| spl0_136
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f50469,f11916,f3840,f127,f14148,f12147]) ).
thf(f50485,plain,
( spl0_435
| spl0_6
| ~ spl0_4
| spl0_181 ),
inference(avatar_split_clause,[],[f50471,f6941,f67,f92,f35202]) ).
thf(f50487,plain,
( spl0_6
| spl0_215
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f50478,f52,f7117,f92]) ).
thf(f50488,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_1
| spl0_6 ),
inference(constrained_superposition,[],[f2636,f50267]) ).
thf(f50490,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_1
| spl0_6 ),
inference(trivial_inequality_removal,[],[f50488]) ).
thf(f50492,plain,
( spl0_246
| ~ spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f50490,f92,f52,f8548]) ).
thf(f50497,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_58
| spl0_68 ),
inference(constrained_superposition,[],[f3477,f50363]) ).
thf(f50499,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ~ spl0_1
| spl0_58
| spl0_68 ),
inference(trivial_inequality_removal,[],[f50497]) ).
thf(f50500,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_1
| spl0_58
| spl0_62
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f50499,f11876]) ).
thf(f50501,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_1
| spl0_58
| spl0_62
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f50500,f27]) ).
thf(f50502,plain,
( $false
| ~ spl0_1
| spl0_6
| spl0_58
| spl0_62
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f50501,f2636]) ).
thf(f50503,plain,
( ~ spl0_1
| spl0_6
| spl0_58
| spl0_62
| spl0_68 ),
inference(avatar_contradiction_clause,[],[f50502]) ).
thf(f50505,plain,
( spl0_24
| ~ spl0_23
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f49877,f253,f302,f305]) ).
thf(f50506,plain,
( ~ spl0_54
| spl0_192
| spl0_21
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f49676,f554,f268,f7012,f997]) ).
thf(f50509,plain,
( spl0_148
| ~ spl0_82
| ~ spl0_36
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f46728,f17449,f457,f1820,f4233]) ).
thf(f50511,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_20
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f49125,f27]) ).
thf(f50512,plain,
( spl0_284
| ~ spl0_23
| ~ spl0_36
| ~ spl0_409 ),
inference(avatar_split_clause,[],[f43039,f28847,f457,f302,f12174]) ).
thf(f50513,plain,
( spl0_13
| spl0_14
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f45257,f89,f210,f207]) ).
thf(f50518,plain,
( ~ spl0_36
| spl0_148
| ~ spl0_23
| ~ spl0_445 ),
inference(avatar_split_clause,[],[f44540,f43785,f302,f4233,f457]) ).
thf(f50523,plain,
( spl0_13
| spl0_192
| spl0_20
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f50511,f2647,f256,f7012,f207]) ).
thf(f50536,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_192 ),
inference(constrained_superposition,[],[f48969,f7013]) ).
thf(f50539,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f50536]) ).
thf(f50540,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_9
| spl0_20
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f50539,f1482]) ).
thf(f50541,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_9
| spl0_20
| ~ spl0_181
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f50540,f6942]) ).
thf(f50542,plain,
( spl0_29
| ~ spl0_9
| spl0_20
| ~ spl0_181
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f50541,f7012,f6941,f256,f127,f368]) ).
thf(f50549,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_293 ),
inference(constrained_superposition,[],[f49172,f56]) ).
thf(f50555,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f29,f56]) ).
thf(f50559,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ z @ X2 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f50555]) ).
thf(f50562,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f50549]) ).
thf(f50563,plain,
( spl0_307
| spl0_331
| ~ spl0_2
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f50562,f12214,f55,f15114,f13780]) ).
thf(f50598,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f29,f3841]) ).
thf(f50599,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f50598]) ).
thf(f50611,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_111
| ~ spl0_286 ),
inference(constrained_superposition,[],[f44385,f3293]) ).
thf(f50614,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_111
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f50611]) ).
thf(f50615,plain,
( spl0_391
| ~ spl0_111
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f50614,f12181,f3292,f21603]) ).
thf(f50621,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_293
| ~ spl0_303 ),
inference(constrained_superposition,[],[f49172,f13802]) ).
thf(f50624,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_293
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f50621]) ).
thf(f50625,plain,
( spl0_331
| ~ spl0_293
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f50624,f13759,f12214,f15114]) ).
thf(f50646,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_141
| ~ spl0_162 ),
inference(constrained_superposition,[],[f4018,f5629]) ).
thf(f50651,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_162
| ~ spl0_376 ),
inference(constrained_superposition,[],[f21516,f5629]) ).
thf(f50665,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_162
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f50651]) ).
thf(f50666,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_141
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f50646]) ).
thf(f50783,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_267 ),
inference(constrained_superposition,[],[f28869,f176]) ).
thf(f50784,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f50783]) ).
thf(f50785,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f50784,f27]) ).
thf(f50791,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_267 ),
inference(constrained_superposition,[],[f204,f50785]) ).
thf(f50792,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16
| spl0_267 ),
inference(constrained_superposition,[],[f219,f50785]) ).
thf(f50793,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl0_267 ),
inference(constrained_superposition,[],[f432,f50785]) ).
thf(f50794,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_5
| spl0_267 ),
inference(constrained_superposition,[],[f90,f50785]) ).
thf(f50799,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_267 ),
inference(constrained_superposition,[],[f32,f50785]) ).
thf(f50803,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f50799]) ).
thf(f50804,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f50793]) ).
thf(f50807,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_5
| spl0_267 ),
inference(trivial_inequality_removal,[],[f50794]) ).
thf(f50808,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_16
| spl0_267 ),
inference(trivial_inequality_removal,[],[f50792]) ).
thf(f50815,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f50791]) ).
thf(f50818,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_5
| spl0_58
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f50807,f3477]) ).
thf(f50819,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_16
| spl0_61
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f50808,f7268]) ).
thf(f50822,plain,
( spl0_416
| ~ spl0_5
| spl0_58
| spl0_267 ),
inference(avatar_split_clause,[],[f50818,f12105,f1545,f89,f32083]) ).
thf(f50823,plain,
( spl0_326
| ~ spl0_16
| spl0_61
| spl0_267 ),
inference(avatar_split_clause,[],[f50819,f12105,f1555,f218,f14914]) ).
thf(f50842,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_433 ),
inference(constrained_superposition,[],[f34355,f175]) ).
thf(f50850,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_433 ),
inference(trivial_inequality_removal,[],[f50842]) ).
thf(f50872,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_397 ),
inference(constrained_superposition,[],[f23846,f11920]) ).
thf(f50875,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_64
| ~ spl0_264 ),
inference(constrained_superposition,[],[f1568,f11920]) ).
thf(f50888,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f32,f11920]) ).
thf(f50894,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f50872]) ).
thf(f50895,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_64
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f50875]) ).
thf(f50909,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f50888]) ).
thf(f50917,plain,
( ~ spl0_352
| ~ spl0_264
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f50894,f23845,f11919,f17227]) ).
thf(f50918,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_64
| ~ spl0_264
| spl0_275 ),
inference(forward_subsumption_resolution,[],[f50895,f23780]) ).
thf(f50920,plain,
( spl0_274
| ~ spl0_64
| ~ spl0_264
| spl0_275 ),
inference(avatar_split_clause,[],[f50918,f12135,f11919,f1567,f12132]) ).
thf(f50922,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| ~ spl0_265 ),
inference(constrained_superposition,[],[f254,f11924]) ).
thf(f50928,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_64
| ~ spl0_265 ),
inference(constrained_superposition,[],[f1568,f11924]) ).
thf(f50932,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f5605,f11924]) ).
thf(f50933,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f204,f11924]) ).
thf(f50935,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f432,f11924]) ).
thf(f50939,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f50,f11924]) ).
thf(f50949,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f50939]) ).
thf(f50951,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f50933]) ).
thf(f50955,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_19
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f50922]) ).
thf(f50958,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f50935]) ).
thf(f50962,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f50932]) ).
thf(f50965,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_64
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f50928]) ).
thf(f50968,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_141
| ~ spl0_162
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f50949,f50666]) ).
thf(f50970,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_64
| ~ spl0_265
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f50965,f28869]) ).
thf(f50971,plain,
( spl0_415
| ~ spl0_141
| ~ spl0_162
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f50968,f11923,f5628,f4017,f31539]) ).
thf(f50972,plain,
( spl0_274
| ~ spl0_64
| ~ spl0_265
| spl0_267 ),
inference(avatar_split_clause,[],[f50970,f12105,f11923,f1567,f12132]) ).
thf(f51094,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_403 ),
inference(constrained_superposition,[],[f27769,f1292]) ).
thf(f51103,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f51094]) ).
thf(f51117,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f6910,f175]) ).
thf(f51126,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f51117]) ).
thf(f51239,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_412 ),
inference(constrained_superposition,[],[f29479,f175]) ).
thf(f51241,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_412 ),
inference(constrained_superposition,[],[f29479,f36]) ).
thf(f51242,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_412 ),
inference(trivial_inequality_removal,[],[f51241]) ).
thf(f51249,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_412 ),
inference(trivial_inequality_removal,[],[f51239]) ).
thf(f51256,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_288 ),
inference(constrained_superposition,[],[f50559,f12190]) ).
thf(f51265,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f51256]) ).
thf(f51283,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_426 ),
inference(constrained_superposition,[],[f33396,f74]) ).
thf(f51288,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_426 ),
inference(trivial_inequality_removal,[],[f51283]) ).
thf(f51297,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_20
| ~ spl0_246 ),
inference(constrained_superposition,[],[f1482,f8549]) ).
thf(f51337,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_20
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f51297]) ).
thf(f51342,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_17
| spl0_20
| ~ spl0_246 ),
inference(forward_subsumption_resolution,[],[f51337,f7460]) ).
thf(f51343,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_17
| spl0_20
| ~ spl0_246 ),
inference(forward_subsumption_resolution,[],[f51342,f27]) ).
thf(f51344,plain,
( spl0_28
| spl0_17
| spl0_20
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f51343,f8548,f256,f222,f363]) ).
thf(f51374,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f306,f74]) ).
thf(f51387,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f51374]) ).
thf(f51392,plain,
( spl0_47
| ~ spl0_48
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f51387,f305,f694,f691]) ).
thf(f51399,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_326 ),
inference(constrained_superposition,[],[f14915,f175]) ).
thf(f51408,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f51399]) ).
thf(f51434,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f12133,f1293]) ).
thf(f51437,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f12133,f36]) ).
thf(f51438,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f51437]) ).
thf(f51442,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f51434]) ).
thf(f51511,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_415 ),
inference(constrained_superposition,[],[f31540,f1292]) ).
thf(f51525,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f51511]) ).
thf(f51568,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_145 ),
inference(constrained_superposition,[],[f50599,f4213]) ).
thf(f51574,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_145 ),
inference(duplicate_literal_removal,[],[f51568]) ).
thf(f51575,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f51574]) ).
thf(f51577,plain,
( spl0_457
| ~ spl0_136
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f51575,f4212,f3840,f49038]) ).
thf(f51597,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_396 ),
inference(constrained_superposition,[],[f23066,f175]) ).
thf(f51598,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_396 ),
inference(constrained_superposition,[],[f23066,f75]) ).
thf(f51599,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_396 ),
inference(constrained_superposition,[],[f23066,f36]) ).
thf(f51600,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f51597]) ).
thf(f51602,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_396 ),
inference(duplicate_literal_removal,[],[f51598]) ).
thf(f51603,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f51602]) ).
thf(f51604,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f51599]) ).
thf(f51619,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f211,f75]) ).
thf(f51631,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f51619]) ).
thf(f51633,plain,
( ~ spl0_48
| spl0_25
| ~ spl0_54
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f51631,f210,f997,f325,f694]) ).
thf(f51716,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_346 ),
inference(constrained_superposition,[],[f17191,f175]) ).
thf(f51727,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f51716]) ).
thf(f51773,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_267 ),
inference(constrained_superposition,[],[f50803,f175]) ).
thf(f51777,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_267 ),
inference(trivial_inequality_removal,[],[f51773]) ).
thf(f51790,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f12117,f175]) ).
thf(f51794,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f51790]) ).
thf(f51805,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(constrained_superposition,[],[f50909,f11924]) ).
thf(f51817,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(duplicate_literal_removal,[],[f51805]) ).
thf(f51818,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f51817]) ).
thf(f51839,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(constrained_superposition,[],[f51818,f11920]) ).
thf(f51843,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(constrained_superposition,[],[f51818,f36]) ).
thf(f51847,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f51839]) ).
thf(f51850,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_264
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f51843]) ).
thf(f51852,plain,
( spl0_268
| ~ spl0_264
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f51847,f11923,f11919,f12108]) ).
thf(f51853,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_264
| ~ spl0_265
| spl0_313 ),
inference(forward_subsumption_resolution,[],[f51850,f33436]) ).
thf(f51854,plain,
( spl0_397
| ~ spl0_264
| ~ spl0_265
| spl0_313 ),
inference(avatar_split_clause,[],[f51853,f13932,f11923,f11919,f23845]) ).
thf(f51856,plain,
( spl0_136
| spl0_458
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f51603,f23065,f49053,f3840]) ).
thf(f51857,plain,
( spl0_91
| spl0_284
| spl0_267 ),
inference(avatar_split_clause,[],[f51777,f12105,f12174,f1971]) ).
thf(f51858,plain,
( spl0_441
| spl0_275
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f51525,f31539,f12135,f40751]) ).
thf(f51859,plain,
( ~ spl0_119
| spl0_275
| ~ spl0_82
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f51103,f27768,f1820,f12135,f3330]) ).
thf(f51863,plain,
( spl0_353
| spl0_148
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f51727,f17190,f4233,f17432]) ).
thf(f51865,plain,
( spl0_271
| spl0_61
| spl0_267 ),
inference(avatar_split_clause,[],[f50815,f12105,f1555,f12120]) ).
thf(f51866,plain,
( ~ spl0_36
| spl0_243
| spl0_89
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f51126,f6909,f1964,f8443,f457]) ).
thf(f51867,plain,
( ~ spl0_82
| ~ spl0_23
| spl0_284
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f51408,f14914,f12174,f302,f1820]) ).
thf(f51868,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_162
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f50665,f5629]) ).
thf(f51869,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_288
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f51265,f13802]) ).
thf(f51870,plain,
( spl0_130
| spl0_148
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f51600,f23065,f4233,f3808]) ).
thf(f51871,plain,
( ~ spl0_36
| spl0_284
| ~ spl0_433 ),
inference(avatar_split_clause,[],[f50850,f34354,f12174,f457]) ).
thf(f51872,plain,
( spl0_278
| ~ spl0_70
| ~ spl0_54
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f51288,f33395,f997,f1591,f12147]) ).
thf(f51873,plain,
( spl0_325
| spl0_284
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f51794,f12116,f12174,f14910]) ).
thf(f51875,plain,
( ~ spl0_82
| ~ spl0_23
| spl0_148
| ~ spl0_412 ),
inference(avatar_split_clause,[],[f51249,f29478,f4233,f302,f1820]) ).
thf(f51876,plain,
( spl0_89
| spl0_282
| spl0_267 ),
inference(avatar_split_clause,[],[f50804,f12105,f12165,f1964]) ).
thf(f51877,plain,
( spl0_117
| spl0_284
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f50958,f11923,f12174,f3322]) ).
thf(f51878,plain,
( spl0_351
| spl0_111
| ~ spl0_280
| ~ spl0_19
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f50955,f11923,f253,f12156,f3292,f17215]) ).
thf(f51879,plain,
( ~ spl0_61
| ~ spl0_162
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f51868,f21515,f5628,f1555]) ).
thf(f51880,plain,
( spl0_192
| spl0_304
| ~ spl0_2
| ~ spl0_288
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f51869,f13759,f12189,f55,f13762,f7012]) ).
thf(f51881,plain,
( spl0_347
| spl0_283
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f50962,f11923,f12170,f17195]) ).
thf(f51883,plain,
( ~ spl0_119
| spl0_286
| ~ spl0_70
| ~ spl0_445 ),
inference(avatar_split_clause,[],[f44536,f43785,f1591,f12181,f3330]) ).
thf(f51884,plain,
( ~ spl0_20
| ~ spl0_72
| ~ spl0_293
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f49852,f48997,f12214,f1598,f256]) ).
thf(f51885,plain,
( ~ spl0_20
| ~ spl0_136
| ~ spl0_293
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f49169,f21515,f12214,f3840,f256]) ).
thf(f51890,plain,
( spl0_146
| spl0_288
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f50951,f11923,f12189,f4217]) ).
thf(f51891,plain,
( ~ spl0_70
| ~ spl0_276
| spl0_283
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f51442,f12132,f12170,f12139,f1591]) ).
thf(f51894,plain,
( ~ spl0_22
| spl0_313
| ~ spl0_84
| ~ spl0_412 ),
inference(avatar_split_clause,[],[f51242,f29478,f1828,f13932,f271]) ).
thf(f51896,plain,
( ~ spl0_356
| spl0_307
| ~ spl0_22
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f51438,f12132,f271,f13780,f17456]) ).
thf(f51900,plain,
( spl0_313
| spl0_445
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f51604,f23065,f43785,f13932]) ).
thf(f51933,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| spl0_195 ),
inference(constrained_superposition,[],[f33432,f20906]) ).
thf(f51934,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| spl0_195 ),
inference(trivial_inequality_removal,[],[f51933]) ).
thf(f51988,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_148
| ~ spl0_152 ),
inference(constrained_superposition,[],[f4271,f4234]) ).
thf(f51990,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_148
| ~ spl0_457 ),
inference(constrained_superposition,[],[f49039,f4234]) ).
thf(f51991,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f29,f4234]) ).
thf(f51992,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_148
| ~ spl0_457 ),
inference(trivial_inequality_removal,[],[f51990]) ).
thf(f51993,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_148
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f51988]) ).
thf(f51994,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f51991]) ).
thf(f51996,plain,
( $false
| ~ spl0_13
| ~ spl0_148
| ~ spl0_457 ),
inference(forward_subsumption_resolution,[],[f51992,f208]) ).
thf(f51997,plain,
( ~ spl0_13
| ~ spl0_148
| ~ spl0_457 ),
inference(avatar_contradiction_clause,[],[f51996]) ).
thf(f52033,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f53,f30]) ).
thf(f52035,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f52033]) ).
thf(f52065,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f3878,f175]) ).
thf(f52070,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f52065]) ).
thf(f52079,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f6849,f35]) ).
thf(f52087,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f52079]) ).
thf(f52089,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_68
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[],[f52087,f3476]) ).
thf(f52090,plain,
( ~ spl0_22
| spl0_68
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f52089,f6848,f1584,f271]) ).
thf(f52091,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_4
| spl0_195 ),
inference(forward_subsumption_resolution,[],[f51934,f27]) ).
thf(f52092,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_89
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f52070,f5082]) ).
thf(f52093,plain,
( spl0_68
| spl0_393
| ~ spl0_4
| spl0_195 ),
inference(avatar_split_clause,[],[f52091,f7023,f67,f21847,f1584]) ).
thf(f52094,plain,
( ~ spl0_48
| spl0_89
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f52092,f3877,f1964,f694]) ).
thf(f52130,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f7035,f30]) ).
thf(f52133,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f7035,f174]) ).
thf(f52138,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f52130]) ).
thf(f52140,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f52133]) ).
thf(f52142,plain,
( spl0_230
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f52140,f7034,f7463]) ).
thf(f52143,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f7238,f30]) ).
thf(f52147,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f7238,f75]) ).
thf(f52151,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f52147]) ).
thf(f52152,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f52143]) ).
thf(f52157,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_307
| ~ spl0_376 ),
inference(constrained_superposition,[],[f21516,f13781]) ).
thf(f52160,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_307 ),
inference(constrained_superposition,[],[f29,f13781]) ).
thf(f52162,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_307
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f52157]) ).
thf(f52163,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 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f52160]) ).
thf(f52194,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_424 ),
inference(constrained_superposition,[],[f32887,f175]) ).
thf(f52202,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_424 ),
inference(trivial_inequality_removal,[],[f52194]) ).
thf(f52204,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_89
| ~ spl0_424 ),
inference(forward_subsumption_resolution,[],[f52202,f5082]) ).
thf(f52205,plain,
( ~ spl0_50
| spl0_89
| ~ spl0_424 ),
inference(avatar_split_clause,[],[f52204,f32886,f1964,f701]) ).
thf(f52206,plain,
( spl0_44
| ~ spl0_13
| ~ spl0_148
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f51993,f4270,f4233,f207,f566]) ).
thf(f52207,plain,
( ~ spl0_22
| spl0_20
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f52151,f7237,f256,f271]) ).
thf(f52220,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_313 ),
inference(constrained_superposition,[],[f29,f13933]) ).
thf(f52222,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f52220]) ).
thf(f52263,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_269 ),
inference(constrained_superposition,[],[f12113,f37]) ).
thf(f52268,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_269 ),
inference(trivial_inequality_removal,[],[f52263]) ).
thf(f52271,plain,
( spl0_288
| spl0_297
| spl0_269 ),
inference(avatar_split_clause,[],[f52268,f12112,f12992,f12189]) ).
thf(f52341,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_267 ),
inference(constrained_superposition,[],[f29,f12106]) ).
thf(f52342,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f52341]) ).
thf(f52399,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_266
| ~ spl0_311 ),
inference(constrained_superposition,[],[f13807,f11927]) ).
thf(f52403,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_266 ),
inference(constrained_superposition,[],[f29,f11927]) ).
thf(f52404,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f52399]) ).
thf(f52407,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f52403]) ).
thf(f52491,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f444,f174]) ).
thf(f52493,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f444,f36]) ).
thf(f52494,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f52491]) ).
thf(f52499,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f52493]) ).
thf(f52504,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_58
| ~ spl0_435 ),
inference(constrained_superposition,[],[f3477,f35203]) ).
thf(f52505,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_13
| ~ spl0_435 ),
inference(constrained_superposition,[],[f568,f35203]) ).
thf(f52507,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_13
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f52505]) ).
thf(f52508,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_58
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f52504]) ).
thf(f52512,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_13
| ~ spl0_435 ),
inference(forward_subsumption_resolution,[],[f52507,f27]) ).
thf(f52513,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_58
| ~ spl0_435 ),
inference(forward_subsumption_resolution,[],[f52508,f27]) ).
thf(f52514,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_13
| spl0_192
| ~ spl0_435 ),
inference(forward_subsumption_resolution,[],[f52512,f7230]) ).
thf(f52515,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_58
| spl0_195
| ~ spl0_435 ),
inference(forward_subsumption_resolution,[],[f52513,f33432]) ).
thf(f52516,plain,
( spl0_28
| spl0_13
| spl0_192
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f52514,f35202,f7012,f207,f363]) ).
thf(f52517,plain,
( $false
| spl0_58
| spl0_62
| spl0_195
| ~ spl0_435 ),
inference(forward_subsumption_resolution,[],[f52515,f11876]) ).
thf(f52518,plain,
( spl0_58
| spl0_62
| spl0_195
| ~ spl0_435 ),
inference(avatar_contradiction_clause,[],[f52517]) ).
thf(f52571,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_373 ),
inference(constrained_superposition,[],[f21473,f174]) ).
thf(f52582,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f52571]) ).
thf(f52584,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_111
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f52582,f27763]) ).
thf(f52585,plain,
( ~ spl0_23
| ~ spl0_50
| spl0_111
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f52584,f21472,f3292,f701,f302]) ).
thf(f52586,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f6925,f75]) ).
thf(f52590,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f52586]) ).
thf(f52618,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_264
| ~ spl0_418 ),
inference(constrained_superposition,[],[f32215,f11920]) ).
thf(f52630,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_418 ),
inference(trivial_inequality_removal,[],[f52618]) ).
thf(f52634,plain,
( ~ spl0_120
| ~ spl0_344
| ~ spl0_264
| ~ spl0_418 ),
inference(avatar_split_clause,[],[f52630,f32214,f11919,f16849,f3341]) ).
thf(f52636,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_266
| ~ spl0_331 ),
inference(constrained_superposition,[],[f15115,f11927]) ).
thf(f52644,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_266
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f52636]) ).
thf(f52742,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_264
| ~ spl0_439 ),
inference(constrained_superposition,[],[f39421,f11920]) ).
thf(f52755,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_264
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f52742]) ).
thf(f52758,plain,
( ~ spl0_147
| ~ spl0_344
| ~ spl0_264
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f52755,f39420,f11919,f16849,f4222]) ).
thf(f52763,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_177
| ~ spl0_264 ),
inference(constrained_superposition,[],[f52590,f11920]) ).
thf(f52774,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_177
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f52763]) ).
thf(f52781,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_177
| ~ spl0_264
| ~ spl0_266
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[],[f52774,f52404]) ).
thf(f52782,plain,
( ~ spl0_120
| ~ spl0_344
| ~ spl0_177
| ~ spl0_264
| ~ spl0_266
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f52781,f13806,f11926,f11919,f6924,f16849,f3341]) ).
thf(f52812,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f306,f1292]) ).
thf(f52818,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f306,f35]) ).
thf(f52826,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f52818]) ).
thf(f52828,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f52812]) ).
thf(f52832,plain,
( ~ spl0_50
| spl0_49
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f52826,f305,f698,f701]) ).
thf(f52842,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f52494,f36]) ).
thf(f52848,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f52842]) ).
thf(f52853,plain,
( ~ spl0_50
| spl0_203
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f52848,f443,f7059,f701]) ).
thf(f52859,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_273 ),
inference(constrained_superposition,[],[f12129,f175]) ).
thf(f52866,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_273 ),
inference(trivial_inequality_removal,[],[f52859]) ).
thf(f52872,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_279 ),
inference(constrained_superposition,[],[f12151,f174]) ).
thf(f52880,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f52872]) ).
thf(f52923,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f12133,f175]) ).
thf(f52931,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f52923]) ).
thf(f53004,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f6076,f74]) ).
thf(f53011,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f53004]) ).
thf(f53051,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_417 ),
inference(constrained_superposition,[],[f32187,f75]) ).
thf(f53052,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_417 ),
inference(constrained_superposition,[],[f32187,f36]) ).
thf(f53055,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_417 ),
inference(trivial_inequality_removal,[],[f53052]) ).
thf(f53060,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_417 ),
inference(trivial_inequality_removal,[],[f53051]) ).
thf(f53146,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f52035,f30]) ).
thf(f53148,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f53146]) ).
thf(f53192,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f31185,f74]) ).
thf(f53203,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f53192]) ).
thf(f53206,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_266
| ~ spl0_267 ),
inference(constrained_superposition,[],[f52342,f11927]) ).
thf(f53213,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_266
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f53206]) ).
thf(f53219,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_303
| ~ spl0_307 ),
inference(constrained_superposition,[],[f52163,f13802]) ).
thf(f53224,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_303
| ~ spl0_307 ),
inference(duplicate_literal_removal,[],[f53219]) ).
thf(f53225,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_303
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f53224]) ).
thf(f53226,plain,
( spl0_454
| ~ spl0_303
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f53225,f13780,f13759,f48883]) ).
thf(f53228,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_266
| ~ spl0_454 ),
inference(constrained_superposition,[],[f48884,f11927]) ).
thf(f53236,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_266
| ~ spl0_454 ),
inference(trivial_inequality_removal,[],[f53228]) ).
thf(f53399,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_267 ),
inference(constrained_superposition,[],[f52407,f12106]) ).
thf(f53404,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_266
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f53399]) ).
thf(f53416,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f7021,f1292]) ).
thf(f53426,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_194 ),
inference(duplicate_literal_removal,[],[f53416]) ).
thf(f53427,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f53426]) ).
thf(f53436,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f53427,f74]) ).
thf(f53441,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f53436]) ).
thf(f53510,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( z = X0 )
| ( z = X1 )
| ( $true != $true )
| ( X0 = X1 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f53148,f30]) ).
thf(f53514,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f53148,f174]) ).
thf(f53519,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f53148,f175]) ).
thf(f53521,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( z = X0 )
| ( z = X1 )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f53510]) ).
thf(f53528,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f53519]) ).
thf(f53530,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f53514]) ).
thf(f53534,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_1
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f53528,f7460]) ).
thf(f53535,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f53530,f7460]) ).
thf(f53538,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_1
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f53534,f27]) ).
thf(f53539,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_1
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f53535,f27]) ).
thf(f53540,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_1
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f53538,f27]) ).
thf(f53541,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_1
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f53539,f27]) ).
thf(f53542,plain,
( spl0_34
| ~ spl0_1
| spl0_17 ),
inference(avatar_split_clause,[],[f53540,f222,f52,f450]) ).
thf(f53543,plain,
( spl0_49
| ~ spl0_1
| spl0_17 ),
inference(avatar_split_clause,[],[f53541,f222,f52,f698]) ).
thf(f53544,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f52138,f30]) ).
thf(f53546,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f53544]) ).
thf(f53549,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f52152,f30]) ).
thf(f53551,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f53549]) ).
thf(f53552,plain,
( spl0_385
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f53551,f7237,f21566]) ).
thf(f53560,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_376 ),
inference(constrained_superposition,[],[f21516,f124]) ).
thf(f53566,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_8
| ~ spl0_267 ),
inference(constrained_superposition,[],[f52342,f124]) ).
thf(f53592,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_8
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f53560]) ).
thf(f53595,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_8
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f53566]) ).
thf(f53634,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_72
| ~ spl0_176 ),
inference(constrained_superposition,[],[f3637,f6922]) ).
thf(f53674,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_72
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f53634]) ).
thf(f53683,plain,
( $false
| spl0_72
| ~ spl0_176
| spl0_195 ),
inference(forward_subsumption_resolution,[],[f53674,f33432]) ).
thf(f53684,plain,
( spl0_72
| ~ spl0_176
| spl0_195 ),
inference(avatar_contradiction_clause,[],[f53683]) ).
thf(f53737,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_13
| ~ spl0_215 ),
inference(constrained_superposition,[],[f568,f7118]) ).
thf(f53754,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_13
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f53737]) ).
thf(f53759,plain,
( $false
| spl0_13
| spl0_17
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[],[f53754,f7460]) ).
thf(f53760,plain,
( spl0_13
| spl0_17
| ~ spl0_215 ),
inference(avatar_contradiction_clause,[],[f53759]) ).
thf(f53770,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| spl0_309 ),
inference(constrained_superposition,[],[f13791,f53521]) ).
thf(f53775,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_1
| spl0_17 ),
inference(constrained_superposition,[],[f7460,f53521]) ).
thf(f53782,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z = X0 )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_1
| spl0_309 ),
inference(trivial_inequality_removal,[],[f53770]) ).
thf(f53791,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_1
| spl0_17 ),
inference(trivial_inequality_removal,[],[f53775]) ).
thf(f53800,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| spl0_309 ),
inference(forward_subsumption_resolution,[],[f53782,f27]) ).
thf(f53805,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_1
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f53791,f27]) ).
thf(f53809,plain,
( spl0_323
| ~ spl0_1
| spl0_309 ),
inference(avatar_split_clause,[],[f53800,f13790,f52,f14747]) ).
thf(f53822,definition,
( spl0_468
<=> ! [X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_468])],[avatar_definition]) ).
thf(f53823,plain,
( ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_468 ),
inference(avatar_component_clause,[],[f53822]) ).
thf(f53830,plain,
( spl0_468
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f53546,f7034,f53822]) ).
thf(f53831,plain,
( spl0_468
| ~ spl0_1
| spl0_17 ),
inference(avatar_split_clause,[],[f53805,f222,f52,f53822]) ).
thf(f53840,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 ) ) ) ) )
| spl0_111
| ~ spl0_468 ),
inference(constrained_superposition,[],[f27763,f53823]) ).
thf(f53841,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_148
| ~ spl0_468 ),
inference(constrained_superposition,[],[f51994,f53823]) ).
thf(f53842,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_313
| ~ spl0_468 ),
inference(constrained_superposition,[],[f52222,f53823]) ).
thf(f53843,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_306
| ~ spl0_468 ),
inference(constrained_superposition,[],[f13774,f53823]) ).
thf(f53844,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_311
| ~ spl0_468 ),
inference(constrained_superposition,[],[f13807,f53823]) ).
thf(f53845,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_306
| ~ spl0_468 ),
inference(trivial_inequality_removal,[],[f53843]) ).
thf(f53846,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_311
| ~ spl0_468 ),
inference(trivial_inequality_removal,[],[f53844]) ).
thf(f53847,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_111
| ~ spl0_468 ),
inference(trivial_inequality_removal,[],[f53840]) ).
thf(f53849,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_313
| ~ spl0_468 ),
inference(trivial_inequality_removal,[],[f53842]) ).
thf(f53856,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_148
| ~ spl0_468 ),
inference(duplicate_literal_removal,[],[f53841]) ).
thf(f53857,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_148
| ~ spl0_468 ),
inference(trivial_inequality_removal,[],[f53856]) ).
thf(f53860,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_306
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f53845,f27]) ).
thf(f53861,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_309
| ~ spl0_311
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f53846,f13791]) ).
thf(f53862,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_111
| spl0_309
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f53847,f13791]) ).
thf(f53863,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_313
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f53849,f27]) ).
thf(f53867,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_306
| spl0_309
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f53860,f13791]) ).
thf(f53868,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_20
| spl0_309
| ~ spl0_311
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f53861,f257]) ).
thf(f53869,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_111
| spl0_309
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f53862,f27]) ).
thf(f53870,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_309
| ~ spl0_313
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f53863,f13791]) ).
thf(f53873,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_61
| ~ spl0_306
| spl0_309
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f53867,f1556]) ).
thf(f53874,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_20
| spl0_309
| ~ spl0_311
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f53868,f27]) ).
thf(f53875,plain,
( spl0_295
| spl0_111
| spl0_309
| ~ spl0_468 ),
inference(avatar_split_clause,[],[f53869,f53822,f13790,f3292,f12805]) ).
thf(f53876,plain,
( spl0_316
| spl0_295
| spl0_309
| ~ spl0_313
| ~ spl0_468 ),
inference(avatar_split_clause,[],[f53870,f53822,f13932,f13790,f12805,f14709]) ).
thf(f53882,plain,
( spl0_295
| ~ spl0_61
| ~ spl0_306
| spl0_309
| ~ spl0_468 ),
inference(avatar_split_clause,[],[f53873,f53822,f13790,f13773,f1555,f12805]) ).
thf(f53883,plain,
( spl0_295
| ~ spl0_20
| spl0_309
| ~ spl0_311
| ~ spl0_468 ),
inference(avatar_split_clause,[],[f53874,f53822,f13806,f13790,f256,f12805]) ).
thf(f53884,plain,
( spl0_306
| ~ spl0_275
| ~ spl0_266
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f53213,f12105,f11926,f12135,f13773]) ).
thf(f53890,plain,
( ~ spl0_192
| ~ spl0_313
| ~ spl0_307
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f52162,f21515,f13780,f13932,f7012]) ).
thf(f53891,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_58
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f53011,f3477]) ).
thf(f53892,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_8
| ~ spl0_20
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f53592,f257]) ).
thf(f53893,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_145
| ~ spl0_266
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f52644,f4213]) ).
thf(f53894,plain,
( ~ spl0_309
| ~ spl0_266
| ~ spl0_454 ),
inference(avatar_split_clause,[],[f53236,f48883,f11926,f13790]) ).
thf(f53896,plain,
( spl0_303
| spl0_143
| ~ spl0_72
| ~ spl0_8
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f53595,f12105,f123,f1598,f4024,f13759]) ).
thf(f53897,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_148
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f53857,f27]) ).
thf(f53898,plain,
( spl0_284
| ~ spl0_36
| ~ spl0_285
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f52866,f12128,f12177,f457,f12174]) ).
thf(f53900,plain,
( spl0_424
| spl0_313
| ~ spl0_84
| ~ spl0_417 ),
inference(avatar_split_clause,[],[f53055,f32186,f1828,f13932,f32886]) ).
thf(f53901,plain,
( ~ spl0_83
| spl0_136
| spl0_140
| ~ spl0_417 ),
inference(avatar_split_clause,[],[f53060,f32186,f3877,f3840,f1824]) ).
thf(f53908,plain,
( spl0_418
| spl0_278
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f53203,f31184,f12147,f32214]) ).
thf(f53911,plain,
( spl0_338
| ~ spl0_266
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f53404,f12105,f11926,f15787]) ).
thf(f53913,plain,
( spl0_288
| ~ spl0_147
| ~ spl0_36
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f52880,f12150,f457,f4222,f12189]) ).
thf(f53914,plain,
( spl0_81
| ~ spl0_94
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f52828,f305,f2092,f1817]) ).
thf(f53916,plain,
( spl0_197
| spl0_192
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f52499,f443,f7012,f7034]) ).
thf(f53917,plain,
( spl0_63
| ~ spl0_70
| ~ spl0_54
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f53441,f7020,f997,f1591,f1562]) ).
thf(f53919,plain,
( spl0_284
| ~ spl0_23
| ~ spl0_285
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f52931,f12132,f12177,f302,f12174]) ).
thf(f53921,plain,
( ~ spl0_83
| spl0_170
| spl0_58
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f53891,f6075,f1545,f6848,f1824]) ).
thf(f53922,plain,
( ~ spl0_136
| spl0_303
| ~ spl0_8
| ~ spl0_20
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f53892,f21515,f256,f123,f13759,f3840]) ).
thf(f53923,plain,
( ~ spl0_309
| ~ spl0_145
| ~ spl0_266
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f53893,f15114,f11926,f4212,f13790]) ).
thf(f53924,plain,
( spl0_309
| spl0_374
| spl0_295
| ~ spl0_148
| ~ spl0_468 ),
inference(avatar_split_clause,[],[f53897,f53822,f4233,f12805,f21478,f13790]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f57]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f69]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f94]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f125]) ).
cnf(s5,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f132]) ).
cnf(s6,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f165]) ).
cnf(s9,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f220]) ).
cnf(s10,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f227]) ).
cnf(s12,plain,
( spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f258]) ).
cnf(s15,plain,
( spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f330]) ).
cnf(s16,plain,
( ~ spl0_9
| spl0_20
| ~ spl0_25
| spl0_27 ),
inference(sat_conversion,[],[f358]) ).
cnf(s17,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_25
| spl0_27 ),
inference(sat_conversion,[],[f359]) ).
cnf(s18,plain,
( spl0_13
| spl0_23
| spl0_28 ),
inference(sat_conversion,[],[f365]) ).
cnf(s19,plain,
( spl0_13
| spl0_23 ),
inference(sat_conversion,[],[f366]) ).
cnf(s22,plain,
( spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f441]) ).
cnf(s23,plain,
( spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f448]) ).
cnf(s24,plain,
( spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f455]) ).
cnf(s26,plain,
( spl0_37
| spl0_38 ),
inference(sat_conversion,[],[f503]) ).
cnf(s30,plain,
( spl0_41
| spl0_42 ),
inference(sat_conversion,[],[f552]) ).
cnf(s31,plain,
( spl0_42
| spl0_43 ),
inference(sat_conversion,[],[f556]) ).
cnf(s33,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17
| ~ spl0_34
| spl0_46 ),
inference(sat_conversion,[],[f577]) ).
cnf(s34,plain,
( ~ spl0_3
| ~ spl0_20
| ~ spl0_29 ),
inference(sat_conversion,[],[f591]) ).
cnf(s38,plain,
( spl0_20
| spl0_48 ),
inference(sat_conversion,[],[f714]) ).
cnf(s39,plain,
( spl0_20
| spl0_28
| spl0_48 ),
inference(sat_conversion,[],[f716]) ).
cnf(s63,plain,
( spl0_6
| spl0_54 ),
inference(sat_conversion,[],[f1086]) ).
cnf(s69,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f1132]) ).
cnf(s70,plain,
( ~ spl0_3
| ~ spl0_13
| spl0_29 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s73,plain,
( spl0_60
| spl0_61 ),
inference(sat_conversion,[],[f1557]) ).
cnf(s75,plain,
( spl0_58
| spl0_64 ),
inference(sat_conversion,[],[f1569]) ).
cnf(s79,plain,
( spl0_68
| spl0_69 ),
inference(sat_conversion,[],[f1589]) ).
cnf(s83,plain,
( spl0_72
| spl0_75 ),
inference(sat_conversion,[],[f1613]) ).
cnf(s97,plain,
( ~ spl0_3
| ~ spl0_29
| ~ spl0_72 ),
inference(sat_conversion,[],[f1697]) ).
cnf(s99,plain,
( spl0_58
| spl0_62
| spl0_70 ),
inference(sat_conversion,[],[f1711]) ).
cnf(s100,plain,
( spl0_58
| spl0_70 ),
inference(sat_conversion,[],[f1713]) ).
cnf(s111,plain,
( spl0_86
| spl0_87 ),
inference(sat_conversion,[],[f1950]) ).
cnf(s112,plain,
( spl0_62
| spl0_72
| spl0_83 ),
inference(sat_conversion,[],[f1957]) ).
cnf(s115,plain,
( spl0_82
| spl0_88
| spl0_89 ),
inference(sat_conversion,[],[f1966]) ).
cnf(s117,plain,
( spl0_89
| spl0_92 ),
inference(sat_conversion,[],[f1977]) ).
cnf(s129,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_95 ),
inference(sat_conversion,[],[f2320]) ).
cnf(s132,plain,
( ~ spl0_40
| spl0_56 ),
inference(sat_conversion,[],[f2339]) ).
cnf(s134,plain,
( spl0_25
| ~ spl0_32
| ~ spl0_48 ),
inference(sat_conversion,[],[f2387]) ).
cnf(s143,plain,
( ~ spl0_3
| ~ spl0_9
| spl0_11
| spl0_29 ),
inference(sat_conversion,[],[f2499]) ).
cnf(s146,plain,
( spl0_47
| ~ spl0_56 ),
inference(sat_conversion,[],[f2502]) ).
cnf(s149,plain,
( spl0_17
| spl0_36 ),
inference(sat_conversion,[],[f2510]) ).
cnf(s155,plain,
( spl0_6
| ~ spl0_12
| spl0_101 ),
inference(sat_conversion,[],[f2641]) ).
cnf(s156,plain,
( spl0_6
| ~ spl0_43
| spl0_102 ),
inference(sat_conversion,[],[f2645]) ).
cnf(s157,plain,
( spl0_6
| ~ spl0_12
| spl0_103 ),
inference(sat_conversion,[],[f2649]) ).
cnf(s162,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_63 ),
inference(sat_conversion,[],[f3040]) ).
cnf(s180,plain,
~ spl0_88,
inference(sat_conversion,[],[f3338]) ).
cnf(s193,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_61
| ~ spl0_68 ),
inference(sat_conversion,[],[f3479]) ).
cnf(s195,plain,
( spl0_28
| spl0_61
| spl0_94 ),
inference(sat_conversion,[],[f3508]) ).
cnf(s196,plain,
( spl0_61
| spl0_94 ),
inference(sat_conversion,[],[f3509]) ).
cnf(s197,plain,
( spl0_61
| spl0_88
| spl0_94 ),
inference(sat_conversion,[],[f3510]) ).
cnf(s203,plain,
( ~ spl0_3
| ~ spl0_89
| ~ spl0_95 ),
inference(sat_conversion,[],[f3535]) ).
cnf(s204,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_89 ),
inference(sat_conversion,[],[f3554]) ).
cnf(s211,plain,
( spl0_14
| ~ spl0_35 ),
inference(sat_conversion,[],[f3644]) ).
cnf(s246,plain,
~ spl0_28,
inference(sat_conversion,[],[f3883]) ).
cnf(s250,plain,
( ~ spl0_12
| spl0_13
| spl0_20
| spl0_28
| spl0_96 ),
inference(sat_conversion,[],[f3900]) ).
cnf(s261,plain,
( ~ spl0_48
| spl0_51
| spl0_72
| ~ spl0_91 ),
inference(sat_conversion,[],[f3989]) ).
cnf(s296,plain,
~ spl0_62,
inference(sat_conversion,[],[f4310]) ).
cnf(s307,plain,
( ~ spl0_58
| spl0_150 ),
inference(sat_conversion,[],[f4332]) ).
cnf(s310,plain,
( spl0_25
| ~ spl0_51 ),
inference(sat_conversion,[],[f4377]) ).
cnf(s312,plain,
( ~ spl0_3
| spl0_29
| ~ spl0_150 ),
inference(sat_conversion,[],[f4401]) ).
cnf(s313,plain,
( ~ spl0_3
| ~ spl0_72
| spl0_141 ),
inference(sat_conversion,[],[f4447]) ).
cnf(s314,plain,
( ~ spl0_48
| spl0_51
| spl0_72
| ~ spl0_91 ),
inference(sat_conversion,[],[f4448]) ).
cnf(s315,plain,
( ~ spl0_12
| spl0_58
| spl0_62
| spl0_72
| spl0_79 ),
inference(sat_conversion,[],[f4454]) ).
cnf(s319,plain,
( ~ spl0_51
| spl0_96 ),
inference(sat_conversion,[],[f4482]) ).
cnf(s320,plain,
( ~ spl0_3
| ~ spl0_34
| spl0_46
| ~ spl0_95 ),
inference(sat_conversion,[],[f4532]) ).
cnf(s330,plain,
( ~ spl0_25
| spl0_72
| ~ spl0_86
| spl0_155 ),
inference(sat_conversion,[],[f4968]) ).
cnf(s331,plain,
( ~ spl0_25
| ~ spl0_61
| ~ spl0_86
| spl0_155 ),
inference(sat_conversion,[],[f5029]) ).
cnf(s332,plain,
( ~ spl0_86
| ~ spl0_89
| ~ spl0_155
| spl0_156 ),
inference(sat_conversion,[],[f5086]) ).
cnf(s333,plain,
( ~ spl0_3
| ~ spl0_86
| spl0_141
| spl0_156 ),
inference(sat_conversion,[],[f5122]) ).
cnf(s335,plain,
( ~ spl0_3
| ~ spl0_81
| spl0_141
| spl0_157 ),
inference(sat_conversion,[],[f5244]) ).
cnf(s338,plain,
( spl0_160
| spl0_161 ),
inference(sat_conversion,[],[f5625]) ).
cnf(s344,plain,
( ~ spl0_23
| spl0_72
| spl0_89
| ~ spl0_161 ),
inference(sat_conversion,[],[f5847]) ).
cnf(s346,plain,
( spl0_89
| spl0_137
| ~ spl0_163 ),
inference(sat_conversion,[],[f6010]) ).
cnf(s348,plain,
( spl0_162
| spl0_166 ),
inference(sat_conversion,[],[f6077]) ).
cnf(s352,plain,
( ~ spl0_3
| spl0_141
| ~ spl0_160
| spl0_162 ),
inference(sat_conversion,[],[f6829]) ).
cnf(s360,plain,
( ~ spl0_30
| spl0_58
| spl0_89 ),
inference(sat_conversion,[],[f6859]) ).
cnf(s362,plain,
( ~ spl0_12
| spl0_58
| spl0_62
| spl0_72
| spl0_79 ),
inference(sat_conversion,[],[f6861]) ).
cnf(s370,plain,
( ~ spl0_3
| ~ spl0_61
| spl0_95 ),
inference(sat_conversion,[],[f6887]) ).
cnf(s374,plain,
( ~ spl0_10
| spl0_13
| spl0_28
| spl0_58
| spl0_89 ),
inference(sat_conversion,[],[f6893]) ).
cnf(s375,plain,
( ~ spl0_3
| ~ spl0_25
| spl0_95
| spl0_98 ),
inference(sat_conversion,[],[f6894]) ).
cnf(s387,plain,
( spl0_176
| spl0_177 ),
inference(sat_conversion,[],[f6926]) ).
cnf(s388,plain,
( spl0_178
| spl0_179 ),
inference(sat_conversion,[],[f6933]) ).
cnf(s395,plain,
( ~ spl0_7
| spl0_181
| spl0_186 ),
inference(sat_conversion,[],[f6971]) ).
cnf(s399,plain,
( ~ spl0_10
| ~ spl0_13
| ~ spl0_164
| spl0_187 ),
inference(sat_conversion,[],[f6982]) ).
cnf(s401,plain,
( spl0_178
| spl0_189 ),
inference(sat_conversion,[],[f6995]) ).
cnf(s402,plain,
( ~ spl0_10
| spl0_181
| spl0_190 ),
inference(sat_conversion,[],[f6999]) ).
cnf(s406,plain,
( spl0_22
| spl0_181 ),
inference(sat_conversion,[],[f7009]) ).
cnf(s407,plain,
( spl0_192
| spl0_193 ),
inference(sat_conversion,[],[f7017]) ).
cnf(s409,plain,
( spl0_194
| spl0_195 ),
inference(sat_conversion,[],[f7025]) ).
cnf(s412,plain,
( ~ spl0_35
| spl0_192
| spl0_197 ),
inference(sat_conversion,[],[f7036]) ).
cnf(s413,plain,
( spl0_181
| spl0_198 ),
inference(sat_conversion,[],[f7041]) ).
cnf(s414,plain,
( spl0_84
| spl0_195 ),
inference(sat_conversion,[],[f7042]) ).
cnf(s416,plain,
( ~ spl0_163
| spl0_195
| spl0_200 ),
inference(sat_conversion,[],[f7050]) ).
cnf(s418,plain,
( spl0_203
| spl0_204 ),
inference(sat_conversion,[],[f7064]) ).
cnf(s425,plain,
( ~ spl0_10
| spl0_181
| spl0_186 ),
inference(sat_conversion,[],[f7093]) ).
cnf(s432,plain,
( ~ spl0_10
| spl0_181
| spl0_215 ),
inference(sat_conversion,[],[f7119]) ).
cnf(s433,plain,
( ~ spl0_10
| spl0_181
| spl0_183 ),
inference(sat_conversion,[],[f7120]) ).
cnf(s435,plain,
( spl0_58
| spl0_62
| spl0_72
| ~ spl0_101
| spl0_195 ),
inference(sat_conversion,[],[f7125]) ).
cnf(s436,plain,
( spl0_50
| spl0_192 ),
inference(sat_conversion,[],[f7126]) ).
cnf(s439,plain,
( spl0_13
| spl0_20
| spl0_28
| ~ spl0_101
| spl0_192 ),
inference(sat_conversion,[],[f7129]) ).
cnf(s441,plain,
( ~ spl0_10
| spl0_181
| spl0_217 ),
inference(sat_conversion,[],[f7134]) ).
cnf(s447,plain,
( ~ spl0_10
| spl0_181
| spl0_221 ),
inference(sat_conversion,[],[f7152]) ).
cnf(s448,plain,
( ~ spl0_10
| spl0_181
| spl0_222 ),
inference(sat_conversion,[],[f7156]) ).
cnf(s450,plain,
( ~ spl0_10
| spl0_181
| spl0_223 ),
inference(sat_conversion,[],[f7160]) ).
cnf(s453,plain,
( ~ spl0_10
| spl0_13
| spl0_47 ),
inference(sat_conversion,[],[f7162]) ).
cnf(s455,plain,
( spl0_61
| spl0_88
| spl0_89
| ~ spl0_99
| spl0_195 ),
inference(sat_conversion,[],[f7164]) ).
cnf(s457,plain,
( ~ spl0_20
| spl0_58
| spl0_62
| spl0_88
| ~ spl0_143
| ~ spl0_154 ),
inference(sat_conversion,[],[f7167]) ).
cnf(s463,plain,
( ~ spl0_20
| ~ spl0_25
| spl0_72
| ~ spl0_143 ),
inference(sat_conversion,[],[f7189]) ).
cnf(s471,plain,
( ~ spl0_2
| spl0_68
| spl0_195 ),
inference(sat_conversion,[],[f7213]) ).
cnf(s476,plain,
( ~ spl0_25
| spl0_72
| spl0_95
| ~ spl0_192
| ~ spl0_195 ),
inference(sat_conversion,[],[f7231]) ).
cnf(s479,plain,
( spl0_68
| spl0_119 ),
inference(sat_conversion,[],[f7252]) ).
cnf(s480,plain,
( spl0_68
| spl0_119 ),
inference(sat_conversion,[],[f7254]) ).
cnf(s489,plain,
( spl0_61
| spl0_62
| spl0_72
| spl0_88
| ~ spl0_102
| spl0_195 ),
inference(sat_conversion,[],[f7311]) ).
cnf(s496,plain,
( ~ spl0_51
| spl0_61
| spl0_72
| spl0_88 ),
inference(sat_conversion,[],[f7321]) ).
cnf(s498,plain,
( spl0_61
| spl0_62
| spl0_72
| spl0_88
| ~ spl0_96 ),
inference(sat_conversion,[],[f7324]) ).
cnf(s499,plain,
( ~ spl0_25
| spl0_61
| spl0_72 ),
inference(sat_conversion,[],[f7326]) ).
cnf(s500,plain,
( spl0_28
| ~ spl0_51
| spl0_61
| spl0_72 ),
inference(sat_conversion,[],[f7327]) ).
cnf(s501,plain,
( ~ spl0_12
| spl0_62
| ~ spl0_70
| spl0_72
| spl0_86 ),
inference(sat_conversion,[],[f7328]) ).
cnf(s503,plain,
( spl0_61
| spl0_62
| spl0_72
| spl0_88
| ~ spl0_102
| spl0_195 ),
inference(sat_conversion,[],[f7333]) ).
cnf(s506,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| spl0_95 ),
inference(sat_conversion,[],[f7461]) ).
cnf(s508,plain,
( spl0_49
| ~ spl0_230 ),
inference(sat_conversion,[],[f7489]) ).
cnf(s511,plain,
( ~ spl0_13
| spl0_29
| ~ spl0_181
| ~ spl0_192 ),
inference(sat_conversion,[],[f7585]) ).
cnf(s513,plain,
( ~ spl0_29
| ~ spl0_72
| ~ spl0_195 ),
inference(sat_conversion,[],[f7598]) ).
cnf(s523,plain,
( ~ spl0_20
| ~ spl0_29
| ~ spl0_192 ),
inference(sat_conversion,[],[f7620]) ).
cnf(s525,plain,
( spl0_6
| spl0_17
| ~ spl0_39
| spl0_192 ),
inference(sat_conversion,[],[f7625]) ).
cnf(s526,plain,
( spl0_6
| ~ spl0_51
| spl0_192 ),
inference(sat_conversion,[],[f7626]) ).
cnf(s528,plain,
( spl0_6
| ~ spl0_96
| spl0_192 ),
inference(sat_conversion,[],[f7639]) ).
cnf(s529,plain,
( spl0_215
| ~ spl0_233 ),
inference(sat_conversion,[],[f7661]) ).
cnf(s533,plain,
( ~ spl0_13
| ~ spl0_20
| spl0_236 ),
inference(sat_conversion,[],[f7804]) ).
cnf(s541,plain,
( ~ spl0_29
| ~ spl0_50
| ~ spl0_72
| spl0_89
| ~ spl0_208 ),
inference(sat_conversion,[],[f7985]) ).
cnf(s574,plain,
( ~ spl0_58
| ~ spl0_141
| ~ spl0_181 ),
inference(sat_conversion,[],[f8528]) ).
cnf(s576,plain,
( ~ spl0_10
| ~ spl0_22
| spl0_183 ),
inference(sat_conversion,[],[f8531]) ).
cnf(s578,plain,
( ~ spl0_10
| ~ spl0_141
| ~ spl0_181
| spl0_187 ),
inference(sat_conversion,[],[f8536]) ).
cnf(s589,plain,
( ~ spl0_154
| spl0_181
| spl0_192 ),
inference(sat_conversion,[],[f8563]) ).
cnf(s590,plain,
( spl0_8
| ~ spl0_21 ),
inference(sat_conversion,[],[f8622]) ).
cnf(s592,plain,
( ~ spl0_2
| spl0_6
| spl0_181 ),
inference(sat_conversion,[],[f8664]) ).
cnf(s595,plain,
( ~ spl0_186
| spl0_217 ),
inference(sat_conversion,[],[f8695]) ).
cnf(s596,plain,
( ~ spl0_190
| spl0_223 ),
inference(sat_conversion,[],[f8700]) ).
cnf(s597,plain,
( ~ spl0_21
| spl0_246 ),
inference(sat_conversion,[],[f8705]) ).
cnf(s658,plain,
( ~ spl0_186
| spl0_221 ),
inference(sat_conversion,[],[f9499]) ).
cnf(s660,plain,
( ~ spl0_180
| spl0_222 ),
inference(sat_conversion,[],[f9506]) ).
cnf(s662,plain,
( ~ spl0_21
| spl0_247 ),
inference(sat_conversion,[],[f9512]) ).
cnf(s673,plain,
( ~ spl0_29
| ~ spl0_72
| ~ spl0_161
| spl0_200 ),
inference(sat_conversion,[],[f9830]) ).
cnf(s676,plain,
( ~ spl0_29
| ~ spl0_50
| ~ spl0_72
| spl0_89
| ~ spl0_161 ),
inference(sat_conversion,[],[f9893]) ).
cnf(s699,plain,
( spl0_62
| spl0_263
| spl0_264 ),
inference(sat_conversion,[],[f11921]) ).
cnf(s700,plain,
( spl0_62
| spl0_265
| spl0_266 ),
inference(sat_conversion,[],[f11928]) ).
cnf(s704,plain,
( ~ spl0_75
| ~ spl0_135
| ~ spl0_264
| spl0_267
| spl0_268 ),
inference(sat_conversion,[],[f12110]) ).
cnf(s705,plain,
( ~ spl0_32
| spl0_111
| ~ spl0_264
| ~ spl0_269 ),
inference(sat_conversion,[],[f12114]) ).
cnf(s708,plain,
( ~ spl0_92
| ~ spl0_264
| spl0_267
| spl0_272 ),
inference(sat_conversion,[],[f12126]) ).
cnf(s711,plain,
( ~ spl0_120
| ~ spl0_194
| ~ spl0_264
| spl0_267
| ~ spl0_276 ),
inference(sat_conversion,[],[f12141]) ).
cnf(s715,plain,
( ~ spl0_10
| spl0_145
| ~ spl0_264
| ~ spl0_280 ),
inference(sat_conversion,[],[f12158]) ).
cnf(s716,plain,
( ~ spl0_69
| ~ spl0_264
| spl0_273
| spl0_275 ),
inference(sat_conversion,[],[f12159]) ).
cnf(s717,plain,
( ~ spl0_80
| ~ spl0_264
| spl0_267
| ~ spl0_281 ),
inference(sat_conversion,[],[f12163]) ).
cnf(s719,plain,
( spl0_61
| ~ spl0_120
| ~ spl0_193
| ~ spl0_264
| ~ spl0_276
| spl0_283 ),
inference(sat_conversion,[],[f12172]) ).
cnf(s722,plain,
( ~ spl0_120
| ~ spl0_193
| ~ spl0_264
| ~ spl0_285
| spl0_288 ),
inference(sat_conversion,[],[f12191]) ).
cnf(s732,plain,
( ~ spl0_12
| ~ spl0_135
| spl0_136
| ~ spl0_264
| spl0_290
| spl0_293 ),
inference(sat_conversion,[],[f12218]) ).
cnf(s734,plain,
( ~ spl0_10
| spl0_145
| ~ spl0_264
| spl0_278 ),
inference(sat_conversion,[],[f12221]) ).
cnf(s778,plain,
~ spl0_290,
inference(sat_conversion,[],[f12765]) ).
cnf(s798,plain,
( spl0_62
| spl0_111
| spl0_147 ),
inference(sat_conversion,[],[f12808]) ).
cnf(s808,plain,
( ~ spl0_25
| ~ spl0_236
| ~ spl0_278
| spl0_293 ),
inference(sat_conversion,[],[f12922]) ).
cnf(s812,plain,
( spl0_278
| spl0_280
| spl0_292 ),
inference(sat_conversion,[],[f12980]) ).
cnf(s813,plain,
( spl0_278
| spl0_280 ),
inference(sat_conversion,[],[f12982]) ).
cnf(s824,plain,
( ~ spl0_58
| ~ spl0_72
| ~ spl0_81
| ~ spl0_221
| ~ spl0_222
| ~ spl0_236
| ~ spl0_263 ),
inference(sat_conversion,[],[f13150]) ).
cnf(s828,plain,
( ~ spl0_81
| spl0_111
| ~ spl0_263
| ~ spl0_267
| spl0_302 ),
inference(sat_conversion,[],[f13163]) ).
cnf(s877,plain,
~ spl0_292,
inference(sat_conversion,[],[f13713]) ).
cnf(s893,plain,
( spl0_81
| ~ spl0_82
| ~ spl0_119
| ~ spl0_193 ),
inference(sat_conversion,[],[f13765]) ).
cnf(s902,plain,
( ~ spl0_68
| ~ spl0_275
| spl0_308
| ~ spl0_309 ),
inference(sat_conversion,[],[f13798]) ).
cnf(s906,plain,
( ~ spl0_145
| ~ spl0_150
| ~ spl0_275
| spl0_311 ),
inference(sat_conversion,[],[f13808]) ).
cnf(s912,plain,
( ~ spl0_186
| ~ spl0_236
| ~ spl0_288
| spl0_292
| spl0_303 ),
inference(sat_conversion,[],[f13813]) ).
cnf(s914,plain,
( ~ spl0_221
| ~ spl0_236
| ~ spl0_288
| spl0_303 ),
inference(sat_conversion,[],[f13815]) ).
cnf(s915,plain,
( ~ spl0_20
| ~ spl0_61
| ~ spl0_143 ),
inference(sat_conversion,[],[f13845]) ).
cnf(s916,plain,
( ~ spl0_58
| ~ spl0_61
| ~ spl0_236 ),
inference(sat_conversion,[],[f13847]) ).
cnf(s918,plain,
( spl0_135
| spl0_145 ),
inference(sat_conversion,[],[f13868]) ).
cnf(s921,plain,
( ~ spl0_145
| spl0_152 ),
inference(sat_conversion,[],[f13884]) ).
cnf(s925,plain,
( spl0_145
| ~ spl0_223
| spl0_290
| spl0_313 ),
inference(sat_conversion,[],[f13934]) ).
cnf(s926,plain,
( spl0_145
| ~ spl0_183
| spl0_313 ),
inference(sat_conversion,[],[f13936]) ).
cnf(s930,plain,
( spl0_145
| ~ spl0_190
| spl0_290
| spl0_313 ),
inference(sat_conversion,[],[f13946]) ).
cnf(s931,plain,
( spl0_145
| ~ spl0_222
| spl0_313 ),
inference(sat_conversion,[],[f13947]) ).
cnf(s936,plain,
( spl0_62
| spl0_148
| spl0_285 ),
inference(sat_conversion,[],[f13983]) ).
cnf(s938,plain,
( ~ spl0_215
| ~ spl0_236
| ~ spl0_288
| spl0_303 ),
inference(sat_conversion,[],[f13996]) ).
cnf(s940,plain,
( ~ spl0_8
| ~ spl0_29
| spl0_303
| ~ spl0_307 ),
inference(sat_conversion,[],[f14013]) ).
cnf(s944,plain,
( ~ spl0_263
| ~ spl0_304
| ~ spl0_313 ),
inference(sat_conversion,[],[f14142]) ).
cnf(s946,plain,
( ~ spl0_25
| spl0_136
| ~ spl0_263
| ~ spl0_288
| spl0_301 ),
inference(sat_conversion,[],[f14145]) ).
cnf(s954,plain,
( ~ spl0_183
| spl0_278
| spl0_307 ),
inference(sat_conversion,[],[f14208]) ).
cnf(s955,plain,
( ~ spl0_223
| spl0_278
| spl0_292
| spl0_307 ),
inference(sat_conversion,[],[f14210]) ).
cnf(s963,plain,
( ~ spl0_215
| spl0_278
| spl0_303 ),
inference(sat_conversion,[],[f14218]) ).
cnf(s964,plain,
( ~ spl0_186
| spl0_278
| spl0_292
| spl0_303 ),
inference(sat_conversion,[],[f14219]) ).
cnf(s965,plain,
( ~ spl0_217
| spl0_278
| spl0_292
| spl0_303 ),
inference(sat_conversion,[],[f14221]) ).
cnf(s966,plain,
( ~ spl0_221
| spl0_278
| spl0_303 ),
inference(sat_conversion,[],[f14222]) ).
cnf(s972,plain,
( ~ spl0_29
| ~ spl0_293
| ~ spl0_307 ),
inference(sat_conversion,[],[f14253]) ).
cnf(s973,plain,
( ~ spl0_17
| ~ spl0_301
| ~ spl0_303 ),
inference(sat_conversion,[],[f14361]) ).
cnf(s974,plain,
( ~ spl0_148
| ~ spl0_263
| ~ spl0_301 ),
inference(sat_conversion,[],[f14369]) ).
cnf(s975,plain,
( ~ spl0_13
| ~ spl0_278
| ~ spl0_301 ),
inference(sat_conversion,[],[f14372]) ).
cnf(s986,plain,
( spl0_120
| ~ spl0_263
| ~ spl0_303
| spl0_304 ),
inference(sat_conversion,[],[f14424]) ).
cnf(s987,plain,
( ~ spl0_17
| spl0_95
| spl0_120
| ~ spl0_148 ),
inference(sat_conversion,[],[f14425]) ).
cnf(s988,plain,
( spl0_145
| ~ spl0_217
| spl0_290
| spl0_309 ),
inference(sat_conversion,[],[f14428]) ).
cnf(s989,plain,
( spl0_145
| ~ spl0_215
| spl0_309 ),
inference(sat_conversion,[],[f14431]) ).
cnf(s990,plain,
( ~ spl0_8
| ~ spl0_29
| spl0_309
| ~ spl0_313 ),
inference(sat_conversion,[],[f14432]) ).
cnf(s996,plain,
( spl0_145
| ~ spl0_221
| spl0_309 ),
inference(sat_conversion,[],[f14441]) ).
cnf(s997,plain,
( spl0_145
| ~ spl0_186
| spl0_290
| spl0_309 ),
inference(sat_conversion,[],[f14442]) ).
cnf(s1006,plain,
( ~ spl0_17
| spl0_136
| ~ spl0_155
| ~ spl0_309 ),
inference(sat_conversion,[],[f14613]) ).
cnf(s1014,plain,
( ~ spl0_25
| spl0_136
| ~ spl0_313
| spl0_316 ),
inference(sat_conversion,[],[f14711]) ).
cnf(s1027,plain,
( ~ spl0_309
| ~ spl0_313
| spl0_322 ),
inference(sat_conversion,[],[f14751]) ).
cnf(s1032,plain,
( ~ spl0_143
| ~ spl0_283
| ~ spl0_293 ),
inference(sat_conversion,[],[f14934]) ).
cnf(s1033,plain,
( ~ spl0_8
| ~ spl0_58
| ~ spl0_221
| ~ spl0_283
| spl0_303 ),
inference(sat_conversion,[],[f14937]) ).
cnf(s1035,plain,
( ~ spl0_44
| ~ spl0_284
| ~ spl0_293 ),
inference(sat_conversion,[],[f14973]) ).
cnf(s1037,plain,
( ~ spl0_22
| ~ spl0_29
| ~ spl0_84
| ~ spl0_293
| ~ spl0_326 ),
inference(sat_conversion,[],[f14993]) ).
cnf(s1038,plain,
( ~ spl0_22
| ~ spl0_289
| spl0_303
| spl0_327 ),
inference(sat_conversion,[],[f15012]) ).
cnf(s1043,plain,
( ~ spl0_278
| ~ spl0_293
| spl0_328 ),
inference(sat_conversion,[],[f15106]) ).
cnf(s1056,plain,
( ~ spl0_271
| spl0_283
| spl0_335 ),
inference(sat_conversion,[],[f15359]) ).
cnf(s1057,plain,
( ~ spl0_84
| ~ spl0_94
| spl0_267
| ~ spl0_282
| spl0_303 ),
inference(sat_conversion,[],[f15390]) ).
cnf(s1059,plain,
( ~ spl0_150
| ~ spl0_267
| ~ spl0_278
| spl0_315 ),
inference(sat_conversion,[],[f15421]) ).
cnf(s1064,plain,
( ~ spl0_58
| ~ spl0_278
| ~ spl0_302 ),
inference(sat_conversion,[],[f15574]) ).
cnf(s1085,plain,
( ~ spl0_136
| ~ spl0_263
| ~ spl0_293
| spl0_311 ),
inference(sat_conversion,[],[f15644]) ).
cnf(s1109,plain,
~ spl0_339,
inference(sat_conversion,[],[f16203]) ).
cnf(s1115,plain,
( ~ spl0_34
| spl0_284
| spl0_303 ),
inference(sat_conversion,[],[f16320]) ).
cnf(s1116,plain,
( ~ spl0_34
| ~ spl0_148
| ~ spl0_263
| spl0_303
| spl0_343 ),
inference(sat_conversion,[],[f16331]) ).
cnf(s1117,plain,
( ~ spl0_34
| ~ spl0_148
| ~ spl0_263
| ~ spl0_266
| spl0_303 ),
inference(sat_conversion,[],[f16332]) ).
cnf(s1118,plain,
( ~ spl0_13
| ~ spl0_34
| spl0_303
| ~ spl0_328 ),
inference(sat_conversion,[],[f16334]) ).
cnf(s1119,plain,
( ~ spl0_8
| ~ spl0_13
| ~ spl0_34
| spl0_46
| ~ spl0_221 ),
inference(sat_conversion,[],[f16335]) ).
cnf(s1120,plain,
( ~ spl0_8
| ~ spl0_34
| ~ spl0_44
| spl0_46 ),
inference(sat_conversion,[],[f16336]) ).
cnf(s1122,plain,
( ~ spl0_197
| spl0_288
| spl0_298
| spl0_303 ),
inference(sat_conversion,[],[f16394]) ).
cnf(s1123,plain,
( ~ spl0_197
| ~ spl0_236
| ~ spl0_278
| spl0_298
| spl0_303 ),
inference(sat_conversion,[],[f16464]) ).
cnf(s1143,plain,
~ spl0_298,
inference(sat_conversion,[],[f16812]) ).
cnf(s1148,plain,
( ~ spl0_8
| ~ spl0_136
| ~ spl0_263
| spl0_303
| spl0_311 ),
inference(sat_conversion,[],[f16817]) ).
cnf(s1150,plain,
( ~ spl0_145
| ~ spl0_266
| ~ spl0_278
| spl0_311 ),
inference(sat_conversion,[],[f16819]) ).
cnf(s1153,plain,
( ~ spl0_263
| ~ spl0_303
| ~ spl0_322 ),
inference(sat_conversion,[],[f16826]) ).
cnf(s1154,plain,
( ~ spl0_136
| ~ spl0_246
| ~ spl0_263
| spl0_292
| spl0_303
| spl0_311 ),
inference(sat_conversion,[],[f16828]) ).
cnf(s1155,plain,
( ~ spl0_136
| ~ spl0_263
| ~ spl0_266
| ~ spl0_293 ),
inference(sat_conversion,[],[f16832]) ).
cnf(s1157,plain,
( ~ spl0_8
| ~ spl0_136
| ~ spl0_263
| ~ spl0_266
| spl0_303 ),
inference(sat_conversion,[],[f16835]) ).
cnf(s1167,plain,
( ~ spl0_25
| spl0_288
| spl0_293 ),
inference(sat_conversion,[],[f16846]) ).
cnf(s1173,plain,
( ~ spl0_183
| ~ spl0_263
| ~ spl0_278
| spl0_313
| spl0_315 ),
inference(sat_conversion,[],[f16855]) ).
cnf(s1190,plain,
( ~ spl0_194
| ~ spl0_265
| spl0_275
| ~ spl0_348
| ~ spl0_349 ),
inference(sat_conversion,[],[f17204]) ).
cnf(s1192,plain,
( spl0_111
| ~ spl0_193
| ~ spl0_265
| ~ spl0_349
| ~ spl0_350 ),
inference(sat_conversion,[],[f17211]) ).
cnf(s1193,plain,
( spl0_111
| ~ spl0_193
| ~ spl0_265
| spl0_279 ),
inference(sat_conversion,[],[f17212]) ).
cnf(s1196,plain,
( ~ spl0_265
| spl0_286
| ~ spl0_305
| ~ spl0_348
| ~ spl0_349 ),
inference(sat_conversion,[],[f17218]) ).
cnf(s1201,plain,
( ~ spl0_10
| ~ spl0_135
| ~ spl0_265
| spl0_278 ),
inference(sat_conversion,[],[f17225]) ).
cnf(s1204,plain,
( ~ spl0_20
| ~ spl0_111
| ~ spl0_311 ),
inference(sat_conversion,[],[f17258]) ).
cnf(s1205,plain,
( ~ spl0_111
| ~ spl0_145
| ~ spl0_236 ),
inference(sat_conversion,[],[f17260]) ).
cnf(s1207,plain,
( ~ spl0_72
| ~ spl0_275
| ~ spl0_311 ),
inference(sat_conversion,[],[f17294]) ).
cnf(s1212,plain,
( spl0_284
| spl0_297
| spl0_350 ),
inference(sat_conversion,[],[f17315]) ).
cnf(s1213,plain,
( spl0_284
| spl0_298
| spl0_350 ),
inference(sat_conversion,[],[f17316]) ).
cnf(s1214,plain,
( ~ spl0_263
| ~ spl0_283
| ~ spl0_286
| spl0_306 ),
inference(sat_conversion,[],[f17348]) ).
cnf(s1215,plain,
( ~ spl0_141
| ~ spl0_283
| ~ spl0_307 ),
inference(sat_conversion,[],[f17350]) ).
cnf(s1216,plain,
( ~ spl0_58
| ~ spl0_283
| ~ spl0_328 ),
inference(sat_conversion,[],[f17352]) ).
cnf(s1220,plain,
( ~ spl0_118
| ~ spl0_147
| spl0_286
| spl0_354 ),
inference(sat_conversion,[],[f17444]) ).
cnf(s1222,plain,
( ~ spl0_113
| ~ spl0_147
| spl0_286 ),
inference(sat_conversion,[],[f17446]) ).
cnf(s1223,plain,
( ~ spl0_69
| spl0_275
| spl0_286
| spl0_355 ),
inference(sat_conversion,[],[f17451]) ).
cnf(s1224,plain,
( spl0_61
| ~ spl0_120
| ~ spl0_193
| ~ spl0_285
| spl0_286 ),
inference(sat_conversion,[],[f17452]) ).
cnf(s1225,plain,
( ~ spl0_29
| ~ spl0_136
| spl0_202
| spl0_286 ),
inference(sat_conversion,[],[f17453]) ).
cnf(s1228,plain,
( ~ spl0_136
| ~ spl0_143
| ~ spl0_286 ),
inference(sat_conversion,[],[f17480]) ).
cnf(s1230,plain,
( ~ spl0_46
| spl0_303 ),
inference(sat_conversion,[],[f17485]) ).
cnf(s1232,plain,
( ~ spl0_25
| spl0_136
| ~ spl0_192
| ~ spl0_308 ),
inference(sat_conversion,[],[f17488]) ).
cnf(s1233,plain,
( spl0_136
| spl0_290
| spl0_344 ),
inference(sat_conversion,[],[f17489]) ).
cnf(s1236,plain,
( spl0_303
| spl0_349 ),
inference(sat_conversion,[],[f17493]) ).
cnf(s1239,plain,
( ~ spl0_50
| spl0_68
| ~ spl0_113 ),
inference(sat_conversion,[],[f17498]) ).
cnf(s1250,plain,
( ~ spl0_181
| ~ spl0_192
| ~ spl0_236 ),
inference(sat_conversion,[],[f17534]) ).
cnf(s1251,plain,
( spl0_313
| spl0_356 ),
inference(sat_conversion,[],[f17564]) ).
cnf(s1255,plain,
( spl0_120
| spl0_309 ),
inference(sat_conversion,[],[f17574]) ).
cnf(s1257,plain,
( ~ spl0_17
| ~ spl0_25
| spl0_136
| spl0_308
| ~ spl0_309 ),
inference(sat_conversion,[],[f17582]) ).
cnf(s1258,plain,
( ~ spl0_37
| spl0_89 ),
inference(sat_conversion,[],[f17610]) ).
cnf(s1259,plain,
( ~ spl0_37
| spl0_284 ),
inference(sat_conversion,[],[f17612]) ).
cnf(s1262,plain,
( ~ spl0_13
| ~ spl0_37
| ~ spl0_72
| spl0_164 ),
inference(sat_conversion,[],[f17625]) ).
cnf(s1265,plain,
( ~ spl0_44
| ~ spl0_72
| ~ spl0_89 ),
inference(sat_conversion,[],[f17658]) ).
cnf(s1270,plain,
( ~ spl0_13
| spl0_44
| ~ spl0_89
| ~ spl0_150 ),
inference(sat_conversion,[],[f17670]) ).
cnf(s1281,plain,
( ~ spl0_10
| spl0_13
| spl0_30 ),
inference(sat_conversion,[],[f17684]) ).
cnf(s1282,plain,
( ~ spl0_10
| spl0_13
| spl0_28
| spl0_154 ),
inference(sat_conversion,[],[f17736]) ).
cnf(s1283,plain,
( spl0_13
| ~ spl0_183
| spl0_192 ),
inference(sat_conversion,[],[f17740]) ).
cnf(s1284,plain,
( ~ spl0_10
| spl0_13
| spl0_235 ),
inference(sat_conversion,[],[f17741]) ).
cnf(s1286,plain,
( ~ spl0_10
| spl0_13
| spl0_237 ),
inference(sat_conversion,[],[f17744]) ).
cnf(s1287,plain,
( ~ spl0_10
| spl0_13
| spl0_154 ),
inference(sat_conversion,[],[f17748]) ).
cnf(s1290,plain,
( spl0_13
| spl0_28
| spl0_192
| ~ spl0_223 ),
inference(sat_conversion,[],[f17754]) ).
cnf(s1296,plain,
( spl0_13
| spl0_28
| ~ spl0_190
| spl0_192 ),
inference(sat_conversion,[],[f17758]) ).
cnf(s1303,plain,
( ~ spl0_13
| ~ spl0_29
| spl0_44
| ~ spl0_136
| ~ spl0_148
| ~ spl0_183 ),
inference(sat_conversion,[],[f17858]) ).
cnf(s1305,plain,
( ~ spl0_13
| ~ spl0_95
| ~ spl0_181 ),
inference(sat_conversion,[],[f17867]) ).
cnf(s1306,plain,
( ~ spl0_46
| spl0_309 ),
inference(sat_conversion,[],[f17869]) ).
cnf(s1307,plain,
( ~ spl0_13
| spl0_44
| ~ spl0_148
| ~ spl0_183
| spl0_313 ),
inference(sat_conversion,[],[f17870]) ).
cnf(s1317,plain,
( spl0_307
| spl0_352 ),
inference(sat_conversion,[],[f17950]) ).
cnf(s1320,plain,
( ~ spl0_58
| ~ spl0_162
| ~ spl0_328 ),
inference(sat_conversion,[],[f18003]) ).
cnf(s1321,plain,
( ~ spl0_162
| ~ spl0_263
| spl0_306 ),
inference(sat_conversion,[],[f18005]) ).
cnf(s1325,plain,
( ~ spl0_120
| ~ spl0_225
| spl0_286 ),
inference(sat_conversion,[],[f18103]) ).
cnf(s1327,plain,
( spl0_166
| spl0_286 ),
inference(sat_conversion,[],[f18109]) ).
cnf(s1329,plain,
( ~ spl0_13
| ~ spl0_284
| ~ spl0_328 ),
inference(sat_conversion,[],[f18128]) ).
cnf(s1330,plain,
( ~ spl0_148
| ~ spl0_263
| ~ spl0_284
| spl0_343 ),
inference(sat_conversion,[],[f18129]) ).
cnf(s1334,plain,
( spl0_283
| spl0_348
| spl0_360 ),
inference(sat_conversion,[],[f18170]) ).
cnf(s1336,plain,
( spl0_283
| spl0_339
| spl0_348 ),
inference(sat_conversion,[],[f18172]) ).
cnf(s1339,plain,
( ~ spl0_69
| ~ spl0_265
| spl0_267
| spl0_273 ),
inference(sat_conversion,[],[f18226]) ).
cnf(s1348,plain,
( ~ spl0_27
| ~ spl0_72
| spl0_136
| ~ spl0_275 ),
inference(sat_conversion,[],[f18427]) ).
cnf(s1364,plain,
( spl0_88
| spl0_275
| spl0_281 ),
inference(sat_conversion,[],[f18951]) ).
cnf(s1365,plain,
( ~ spl0_135
| ~ spl0_265
| ~ spl0_281
| ~ spl0_326 ),
inference(sat_conversion,[],[f18952]) ).
cnf(s1367,plain,
( ~ spl0_60
| ~ spl0_266
| spl0_267
| ~ spl0_306
| spl0_335 ),
inference(sat_conversion,[],[f19064]) ).
cnf(s1369,plain,
( ~ spl0_113
| ~ spl0_266
| ~ spl0_269
| ~ spl0_306 ),
inference(sat_conversion,[],[f19071]) ).
cnf(s1371,plain,
( spl0_166
| ~ spl0_266
| ~ spl0_306 ),
inference(sat_conversion,[],[f19073]) ).
cnf(s1372,plain,
( spl0_208
| ~ spl0_266
| spl0_288
| ~ spl0_306 ),
inference(sat_conversion,[],[f19074]) ).
cnf(s1374,plain,
( ~ spl0_110
| spl0_275
| spl0_363 ),
inference(sat_conversion,[],[f19138]) ).
cnf(s1375,plain,
( ~ spl0_48
| spl0_136
| ~ spl0_146
| spl0_364 ),
inference(sat_conversion,[],[f19233]) ).
cnf(s1376,plain,
( ~ spl0_94
| ~ spl0_117
| spl0_275
| spl0_365 ),
inference(sat_conversion,[],[f19267]) ).
cnf(s1381,plain,
( ~ spl0_82
| ~ spl0_94
| spl0_267
| ~ spl0_282
| spl0_288 ),
inference(sat_conversion,[],[f19481]) ).
cnf(s1412,plain,
~ spl0_296,
inference(sat_conversion,[],[f20181]) ).
cnf(s1418,plain,
( spl0_89
| ~ spl0_263
| spl0_282
| ~ spl0_369 ),
inference(sat_conversion,[],[f20293]) ).
cnf(s1420,plain,
( ~ spl0_16
| spl0_61
| ~ spl0_263
| spl0_326
| ~ spl0_369 ),
inference(sat_conversion,[],[f20295]) ).
cnf(s1421,plain,
( ~ spl0_38
| ~ spl0_82
| ~ spl0_94
| ~ spl0_263
| spl0_284
| ~ spl0_369 ),
inference(sat_conversion,[],[f20296]) ).
cnf(s1426,plain,
( ~ spl0_16
| spl0_61
| ~ spl0_263
| ~ spl0_303
| spl0_326
| ~ spl0_368 ),
inference(sat_conversion,[],[f20433]) ).
cnf(s1428,plain,
( spl0_61
| ~ spl0_263
| spl0_271
| ~ spl0_303
| ~ spl0_368 ),
inference(sat_conversion,[],[f20435]) ).
cnf(s1430,plain,
( ~ spl0_29
| ~ spl0_72
| spl0_89
| ~ spl0_178 ),
inference(sat_conversion,[],[f20547]) ).
cnf(s1431,plain,
( ~ spl0_29
| ~ spl0_178
| spl0_284
| ~ spl0_293 ),
inference(sat_conversion,[],[f20553]) ).
cnf(s1434,plain,
( ~ spl0_2
| ~ spl0_17
| spl0_95
| ~ spl0_178
| spl0_370 ),
inference(sat_conversion,[],[f20563]) ).
cnf(s1437,plain,
( ~ spl0_13
| spl0_44
| ~ spl0_178
| ~ spl0_183
| spl0_370 ),
inference(sat_conversion,[],[f20570]) ).
cnf(s1444,plain,
( ~ spl0_179
| spl0_357 ),
inference(sat_conversion,[],[f20603]) ).
cnf(s1445,plain,
( ~ spl0_29
| ~ spl0_203
| spl0_288
| ~ spl0_293 ),
inference(sat_conversion,[],[f20693]) ).
cnf(s1446,plain,
( ~ spl0_29
| spl0_61
| ~ spl0_72
| ~ spl0_203 ),
inference(sat_conversion,[],[f20699]) ).
cnf(s1447,plain,
( ~ spl0_183
| ~ spl0_203
| ~ spl0_236
| spl0_370 ),
inference(sat_conversion,[],[f20701]) ).
cnf(s1460,plain,
( ~ spl0_79
| spl0_136
| ~ spl0_286
| spl0_290
| spl0_296
| spl0_369 ),
inference(sat_conversion,[],[f21310]) ).
cnf(s1462,plain,
( spl0_6
| ~ spl0_181
| spl0_290
| spl0_318
| ~ spl0_323 ),
inference(sat_conversion,[],[f21361]) ).
cnf(s1463,plain,
( spl0_6
| spl0_136
| spl0_290
| ~ spl0_323 ),
inference(sat_conversion,[],[f21362]) ).
cnf(s1466,plain,
( ~ spl0_33
| spl0_61
| spl0_89 ),
inference(sat_conversion,[],[f21453]) ).
cnf(s1467,plain,
( ~ spl0_33
| spl0_284
| spl0_288 ),
inference(sat_conversion,[],[f21457]) ).
cnf(s1468,plain,
( ~ spl0_30
| ~ spl0_33
| spl0_37
| ~ spl0_236 ),
inference(sat_conversion,[],[f21461]) ).
cnf(s1471,plain,
( ~ spl0_48
| spl0_148
| ~ spl0_364 ),
inference(sat_conversion,[],[f21470]) ).
cnf(s1472,plain,
( ~ spl0_110
| spl0_309
| spl0_373 ),
inference(sat_conversion,[],[f21474]) ).
cnf(s1474,plain,
( ~ spl0_34
| ~ spl0_111
| spl0_309
| spl0_374 ),
inference(sat_conversion,[],[f21480]) ).
cnf(s1481,plain,
( ~ spl0_17
| ~ spl0_30
| spl0_95
| spl0_278
| ~ spl0_303 ),
inference(sat_conversion,[],[f21493]) ).
cnf(s1482,plain,
( ~ spl0_2
| ~ spl0_111
| spl0_192
| spl0_308
| ~ spl0_309 ),
inference(sat_conversion,[],[f21494]) ).
cnf(s1483,plain,
( spl0_95
| ~ spl0_111
| ~ spl0_192
| ~ spl0_313 ),
inference(sat_conversion,[],[f21495]) ).
cnf(s1484,plain,
( ~ spl0_2
| ~ spl0_266
| spl0_307
| spl0_308
| ~ spl0_309 ),
inference(sat_conversion,[],[f21497]) ).
cnf(s1485,plain,
( ~ spl0_2
| spl0_181
| ~ spl0_183
| spl0_375 ),
inference(sat_conversion,[],[f21502]) ).
cnf(s1487,plain,
( ~ spl0_23
| ~ spl0_82
| spl0_136
| spl0_148
| ~ spl0_346 ),
inference(sat_conversion,[],[f21504]) ).
cnf(s1489,plain,
( ~ spl0_30
| ~ spl0_89
| ~ spl0_148
| spl0_278
| ~ spl0_338 ),
inference(sat_conversion,[],[f21506]) ).
cnf(s1493,plain,
( ~ spl0_17
| ~ spl0_42
| spl0_95
| spl0_293
| ~ spl0_303 ),
inference(sat_conversion,[],[f21510]) ).
cnf(s1494,plain,
( ~ spl0_17
| ~ spl0_30
| ~ spl0_148
| ~ spl0_266
| spl0_278
| ~ spl0_313 ),
inference(sat_conversion,[],[f21511]) ).
cnf(s1501,plain,
( ~ spl0_2
| ~ spl0_47
| spl0_192
| spl0_379 ),
inference(sat_conversion,[],[f21532]) ).
cnf(s1503,plain,
( ~ spl0_2
| spl0_181
| ~ spl0_190
| spl0_380 ),
inference(sat_conversion,[],[f21538]) ).
cnf(s1507,plain,
( ~ spl0_2
| spl0_181
| ~ spl0_222
| spl0_383 ),
inference(sat_conversion,[],[f21551]) ).
cnf(s1514,plain,
( ~ spl0_30
| ~ spl0_47
| spl0_145
| ~ spl0_192
| ~ spl0_313 ),
inference(sat_conversion,[],[f21563]) ).
cnf(s1515,plain,
( ~ spl0_25
| spl0_95
| spl0_136
| ~ spl0_192
| ~ spl0_313 ),
inference(sat_conversion,[],[f21564]) ).
cnf(s1519,plain,
( ~ spl0_30
| ~ spl0_47
| ~ spl0_111
| ~ spl0_266
| spl0_278 ),
inference(sat_conversion,[],[f21574]) ).
cnf(s1524,plain,
( ~ spl0_25
| ~ spl0_111
| ~ spl0_266
| spl0_293
| spl0_343 ),
inference(sat_conversion,[],[f21585]) ).
cnf(s1525,plain,
( ~ spl0_4
| ~ spl0_36
| spl0_192
| spl0_203 ),
inference(sat_conversion,[],[f21587]) ).
cnf(s1531,plain,
( ~ spl0_25
| spl0_136
| ~ spl0_286
| spl0_391 ),
inference(sat_conversion,[],[f21606]) ).
cnf(s1533,plain,
( ~ spl0_6
| spl0_294 ),
inference(sat_conversion,[],[f21613]) ).
cnf(s1534,plain,
( ~ spl0_11
| spl0_136 ),
inference(sat_conversion,[],[f21650]) ).
cnf(s1535,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_316 ),
inference(sat_conversion,[],[f21664]) ).
cnf(s1536,plain,
( ~ spl0_11
| spl0_44
| ~ spl0_111 ),
inference(sat_conversion,[],[f21665]) ).
cnf(s1538,plain,
( ~ spl0_286
| ~ spl0_309
| spl0_368 ),
inference(sat_conversion,[],[f21676]) ).
cnf(s1539,plain,
( spl0_180
| ~ spl0_358 ),
inference(sat_conversion,[],[f21685]) ).
cnf(s1540,plain,
( spl0_190
| ~ spl0_358 ),
inference(sat_conversion,[],[f21686]) ).
cnf(s1541,plain,
( ~ spl0_37
| ~ spl0_338 ),
inference(sat_conversion,[],[f21709]) ).
cnf(s1542,plain,
( ~ spl0_37
| ~ spl0_95
| ~ spl0_313 ),
inference(sat_conversion,[],[f21724]) ).
cnf(s1544,plain,
( ~ spl0_101
| ~ spl0_102
| spl0_136
| ~ spl0_236
| spl0_290
| spl0_295
| spl0_313 ),
inference(sat_conversion,[],[f21729]) ).
cnf(s1545,plain,
( ~ spl0_101
| spl0_136
| spl0_145
| spl0_290
| spl0_313 ),
inference(sat_conversion,[],[f21731]) ).
cnf(s1547,plain,
( ~ spl0_42
| spl0_136
| spl0_148 ),
inference(sat_conversion,[],[f21779]) ).
cnf(s1548,plain,
( ~ spl0_34
| spl0_148
| spl0_309 ),
inference(sat_conversion,[],[f21781]) ).
cnf(s1553,plain,
( ~ spl0_68
| ~ spl0_286
| ~ spl0_322 ),
inference(sat_conversion,[],[f21836]) ).
cnf(s1558,plain,
( ~ spl0_4
| ~ spl0_29
| spl0_68
| ~ spl0_72
| spl0_393 ),
inference(sat_conversion,[],[f21849]) ).
cnf(s1566,plain,
( ~ spl0_192
| ~ spl0_288
| ~ spl0_304 ),
inference(sat_conversion,[],[f21955]) ).
cnf(s1567,plain,
( ~ spl0_47
| ~ spl0_192
| spl0_278
| ~ spl0_304 ),
inference(sat_conversion,[],[f21958]) ).
cnf(s1568,plain,
( ~ spl0_17
| ~ spl0_148
| ~ spl0_322 ),
inference(sat_conversion,[],[f21974]) ).
cnf(s1570,plain,
( ~ spl0_47
| spl0_278
| spl0_288 ),
inference(sat_conversion,[],[f21989]) ).
cnf(s1573,plain,
( ~ spl0_36
| spl0_61
| ~ spl0_225 ),
inference(sat_conversion,[],[f21994]) ).
cnf(s1581,plain,
( ~ spl0_5
| spl0_145
| ~ spl0_264
| spl0_273 ),
inference(sat_conversion,[],[f22117]) ).
cnf(s1583,plain,
( ~ spl0_4
| ~ spl0_29
| ~ spl0_120
| ~ spl0_264
| ~ spl0_293
| ~ spl0_356 ),
inference(sat_conversion,[],[f22119]) ).
cnf(s1591,plain,
( ~ spl0_92
| ~ spl0_265
| spl0_272
| spl0_275 ),
inference(sat_conversion,[],[f22212]) ).
cnf(s1593,plain,
( spl0_13
| ~ spl0_22
| ~ spl0_48
| ~ spl0_99 ),
inference(sat_conversion,[],[f22240]) ).
cnf(s1597,plain,
( ~ spl0_23
| ~ spl0_50
| spl0_61
| ~ spl0_392 ),
inference(sat_conversion,[],[f22346]) ).
cnf(s1601,plain,
( ~ spl0_17
| ~ spl0_25
| spl0_382 ),
inference(sat_conversion,[],[f22388]) ).
cnf(s1602,plain,
( ~ spl0_17
| ~ spl0_89
| ~ spl0_148
| ~ spl0_368 ),
inference(sat_conversion,[],[f22435]) ).
cnf(s1605,plain,
( ~ spl0_58
| ~ spl0_68
| ~ spl0_283
| ~ spl0_331 ),
inference(sat_conversion,[],[f22442]) ).
cnf(s1607,plain,
( ~ spl0_83
| spl0_286
| ~ spl0_364 ),
inference(sat_conversion,[],[f22444]) ).
cnf(s1609,plain,
( ~ spl0_17
| ~ spl0_47
| ~ spl0_68
| spl0_141
| ~ spl0_294 ),
inference(sat_conversion,[],[f22450]) ).
cnf(s1614,plain,
( ~ spl0_19
| spl0_61
| ~ spl0_135
| spl0_286
| spl0_354 ),
inference(sat_conversion,[],[f22550]) ).
cnf(s1615,plain,
( ~ spl0_95
| ~ spl0_119
| ~ spl0_148
| ~ spl0_354 ),
inference(sat_conversion,[],[f22586]) ).
cnf(s1616,plain,
( ~ spl0_135
| ~ spl0_139
| ~ spl0_285
| spl0_286 ),
inference(sat_conversion,[],[f22625]) ).
cnf(s1619,plain,
( ~ spl0_6
| ~ spl0_27
| spl0_136
| ~ spl0_309 ),
inference(sat_conversion,[],[f22709]) ).
cnf(s1621,plain,
( ~ spl0_50
| ~ spl0_84
| ~ spl0_95
| ~ spl0_148
| ~ spl0_353 ),
inference(sat_conversion,[],[f22753]) ).
cnf(s1627,plain,
( ~ spl0_107
| spl0_286
| spl0_363 ),
inference(sat_conversion,[],[f22845]) ).
cnf(s1631,plain,
( ~ spl0_19
| ~ spl0_135
| ~ spl0_264
| spl0_268
| spl0_288 ),
inference(sat_conversion,[],[f22917]) ).
cnf(s1635,plain,
( ~ spl0_89
| ~ spl0_275
| ~ spl0_343 ),
inference(sat_conversion,[],[f22983]) ).
cnf(s1644,plain,
( ~ spl0_74
| ~ spl0_120
| ~ spl0_265
| spl0_267
| ~ spl0_281 ),
inference(sat_conversion,[],[f23063]) ).
cnf(s1650,plain,
( ~ spl0_37
| spl0_148 ),
inference(sat_conversion,[],[f23074]) ).
cnf(s1659,plain,
( ~ spl0_181
| ~ spl0_278
| ~ spl0_304 ),
inference(sat_conversion,[],[f23130]) ).
cnf(s1660,plain,
( ~ spl0_278
| ~ spl0_294
| ~ spl0_303
| spl0_304 ),
inference(sat_conversion,[],[f23132]) ).
cnf(s1662,plain,
( spl0_20
| ~ spl0_54
| ~ spl0_197 ),
inference(sat_conversion,[],[f23137]) ).
cnf(s1663,plain,
( ~ spl0_17
| ~ spl0_37
| spl0_95
| ~ spl0_303 ),
inference(sat_conversion,[],[f23139]) ).
cnf(s1665,plain,
( spl0_13
| ~ spl0_54
| ~ spl0_243 ),
inference(sat_conversion,[],[f23141]) ).
cnf(s1667,plain,
( ~ spl0_95
| ~ spl0_148
| ~ spl0_313 ),
inference(sat_conversion,[],[f23198]) ).
cnf(s1671,plain,
( ~ spl0_16
| ~ spl0_265
| spl0_274
| spl0_288 ),
inference(sat_conversion,[],[f23308]) ).
cnf(s1674,plain,
( ~ spl0_20
| ~ spl0_25
| ~ spl0_27
| spl0_98 ),
inference(sat_conversion,[],[f23407]) ).
cnf(s1678,plain,
( ~ spl0_98
| spl0_136 ),
inference(sat_conversion,[],[f23435]) ).
cnf(s1681,plain,
( ~ spl0_7
| ~ spl0_120
| ~ spl0_135
| ~ spl0_265
| spl0_278 ),
inference(sat_conversion,[],[f23489]) ).
cnf(s1682,plain,
( ~ spl0_266
| ~ spl0_284
| ~ spl0_343 ),
inference(sat_conversion,[],[f23503]) ).
cnf(s1687,plain,
( ~ spl0_23
| spl0_136
| spl0_148
| ~ spl0_396 ),
inference(sat_conversion,[],[f23672]) ).
cnf(s1688,plain,
( ~ spl0_294
| ~ spl0_303
| spl0_304
| ~ spl0_379 ),
inference(sat_conversion,[],[f23692]) ).
cnf(s1689,plain,
( ~ spl0_266
| ~ spl0_286
| spl0_338 ),
inference(sat_conversion,[],[f23738]) ).
cnf(s1694,plain,
( ~ spl0_1
| spl0_68
| ~ spl0_120
| spl0_275 ),
inference(sat_conversion,[],[f23843]) ).
cnf(s1695,plain,
( ~ spl0_50
| ~ spl0_146
| spl0_313
| spl0_397 ),
inference(sat_conversion,[],[f23847]) ).
cnf(s1696,plain,
( ~ spl0_275
| ~ spl0_286
| spl0_369 ),
inference(sat_conversion,[],[f23863]) ).
cnf(s1697,plain,
( ~ spl0_89
| ~ spl0_111
| ~ spl0_275
| spl0_306 ),
inference(sat_conversion,[],[f23865]) ).
cnf(s1698,plain,
( ~ spl0_22
| ~ spl0_31
| ~ spl0_50
| spl0_203 ),
inference(sat_conversion,[],[f23867]) ).
cnf(s1705,plain,
( ~ spl0_22
| ~ spl0_29
| ~ spl0_274
| ~ spl0_293
| ~ spl0_356 ),
inference(sat_conversion,[],[f23875]) ).
cnf(s1706,plain,
( ~ spl0_6
| ~ spl0_68
| ~ spl0_143 ),
inference(sat_conversion,[],[f23896]) ).
cnf(s1707,plain,
( ~ spl0_20
| ~ spl0_72
| ~ spl0_89
| spl0_143 ),
inference(sat_conversion,[],[f23897]) ).
cnf(s1717,plain,
( ~ spl0_17
| ~ spl0_288
| ~ spl0_303
| spl0_304 ),
inference(sat_conversion,[],[f24073]) ).
cnf(s1718,plain,
( ~ spl0_148
| ~ spl0_164
| ~ spl0_286 ),
inference(sat_conversion,[],[f24087]) ).
cnf(s1721,plain,
( ~ spl0_89
| ~ spl0_267
| ~ spl0_288
| spl0_302 ),
inference(sat_conversion,[],[f24129]) ).
cnf(s1729,plain,
( spl0_171
| ~ spl0_266
| spl0_278
| ~ spl0_306 ),
inference(sat_conversion,[],[f24289]) ).
cnf(s1731,plain,
( ~ spl0_89
| ~ spl0_148
| ~ spl0_369 ),
inference(sat_conversion,[],[f24312]) ).
cnf(s1733,plain,
( ~ spl0_181
| ~ spl0_293
| spl0_331 ),
inference(sat_conversion,[],[f24346]) ).
cnf(s1738,plain,
( ~ spl0_94
| spl0_284
| ~ spl0_362 ),
inference(sat_conversion,[],[f24391]) ).
cnf(s1741,plain,
( ~ spl0_120
| ~ spl0_264
| spl0_284
| ~ spl0_285
| ~ spl0_357 ),
inference(sat_conversion,[],[f24584]) ).
cnf(s1742,plain,
( ~ spl0_20
| spl0_44
| ~ spl0_288
| ~ spl0_293 ),
inference(sat_conversion,[],[f24631]) ).
cnf(s1747,plain,
( ~ spl0_17
| ~ spl0_111
| spl0_308
| ~ spl0_309 ),
inference(sat_conversion,[],[f24636]) ).
cnf(s1751,plain,
( spl0_136
| spl0_308
| ~ spl0_309
| ~ spl0_382 ),
inference(sat_conversion,[],[f24675]) ).
cnf(s1756,plain,
( ~ spl0_23
| spl0_288
| ~ spl0_289
| spl0_398 ),
inference(sat_conversion,[],[f24866]) ).
cnf(s1761,plain,
( ~ spl0_1
| spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f24875]) ).
cnf(s1768,plain,
( ~ spl0_265
| ~ spl0_270
| spl0_274 ),
inference(sat_conversion,[],[f24982]) ).
cnf(s1774,plain,
( ~ spl0_94
| spl0_267
| ~ spl0_398 ),
inference(sat_conversion,[],[f25027]) ).
cnf(s1779,plain,
( ~ spl0_135
| ~ spl0_147
| ~ spl0_265
| ~ spl0_325 ),
inference(sat_conversion,[],[f25037]) ).
cnf(s1780,plain,
( ~ spl0_68
| ~ spl0_306
| ~ spl0_309 ),
inference(sat_conversion,[],[f25038]) ).
cnf(s1787,plain,
( ~ spl0_4
| ~ spl0_54
| spl0_181
| spl0_183 ),
inference(sat_conversion,[],[f25046]) ).
cnf(s1790,plain,
( ~ spl0_17
| ~ spl0_68
| ~ spl0_164 ),
inference(sat_conversion,[],[f25085]) ).
cnf(s1795,plain,
( ~ spl0_1
| spl0_17
| spl0_49 ),
inference(sat_conversion,[],[f25094]) ).
cnf(s1801,plain,
( ~ spl0_60
| spl0_275
| spl0_286
| spl0_353 ),
inference(sat_conversion,[],[f25225]) ).
cnf(s1805,plain,
( ~ spl0_208
| spl0_275
| spl0_353 ),
inference(sat_conversion,[],[f25279]) ).
cnf(s1810,plain,
( ~ spl0_22
| spl0_136
| ~ spl0_397 ),
inference(sat_conversion,[],[f25303]) ).
cnf(s1812,plain,
( ~ spl0_48
| spl0_58
| ~ spl0_113 ),
inference(sat_conversion,[],[f25321]) ).
cnf(s1815,plain,
( ~ spl0_164
| ~ spl0_283
| ~ spl0_284 ),
inference(sat_conversion,[],[f25359]) ).
cnf(s1816,plain,
( ~ spl0_68
| spl0_141
| ~ spl0_283
| ~ spl0_303 ),
inference(sat_conversion,[],[f25361]) ).
cnf(s1847,plain,
~ spl0_295,
inference(sat_conversion,[],[f25611]) ).
cnf(s1850,plain,
( ~ spl0_61
| ~ spl0_68
| ~ spl0_286
| ~ spl0_316 ),
inference(sat_conversion,[],[f25661]) ).
cnf(s1851,plain,
( ~ spl0_70
| spl0_136
| ~ spl0_354 ),
inference(sat_conversion,[],[f25748]) ).
cnf(s1852,plain,
( spl0_136
| ~ spl0_246
| spl0_290
| spl0_309 ),
inference(sat_conversion,[],[f25811]) ).
cnf(s1853,plain,
( ~ spl0_20
| ~ spl0_72
| ~ spl0_246
| spl0_290
| spl0_309
| ~ spl0_391 ),
inference(sat_conversion,[],[f25814]) ).
cnf(s1857,plain,
( ~ spl0_24
| spl0_111
| ~ spl0_265
| ~ spl0_269 ),
inference(sat_conversion,[],[f25969]) ).
cnf(s1859,plain,
( ~ spl0_119
| spl0_275
| ~ spl0_366 ),
inference(sat_conversion,[],[f25981]) ).
cnf(s1860,plain,
( ~ spl0_18
| spl0_61
| spl0_74 ),
inference(sat_conversion,[],[f25982]) ).
cnf(s1861,plain,
( ~ spl0_54
| spl0_145
| ~ spl0_366 ),
inference(sat_conversion,[],[f25984]) ).
cnf(s1862,plain,
( ~ spl0_23
| ~ spl0_94
| spl0_111
| ~ spl0_363 ),
inference(sat_conversion,[],[f25985]) ).
cnf(s1865,plain,
( ~ spl0_14
| ~ spl0_120
| ~ spl0_147
| ~ spl0_265
| spl0_288 ),
inference(sat_conversion,[],[f25990]) ).
cnf(s1867,plain,
( ~ spl0_36
| spl0_61
| spl0_113
| ~ spl0_202 ),
inference(sat_conversion,[],[f25992]) ).
cnf(s1870,plain,
( ~ spl0_22
| ~ spl0_36
| spl0_68
| ~ spl0_139 ),
inference(sat_conversion,[],[f25995]) ).
cnf(s1873,plain,
( ~ spl0_22
| ~ spl0_119
| spl0_309
| ~ spl0_363 ),
inference(sat_conversion,[],[f26000]) ).
cnf(s1878,plain,
( ~ spl0_39
| spl0_111
| spl0_136
| spl0_148
| spl0_290
| spl0_295 ),
inference(sat_conversion,[],[f26073]) ).
cnf(s1879,plain,
( ~ spl0_236
| ~ spl0_278
| ~ spl0_288 ),
inference(sat_conversion,[],[f26125]) ).
cnf(s1880,plain,
( spl0_89
| ~ spl0_263
| spl0_282
| ~ spl0_288
| ~ spl0_391 ),
inference(sat_conversion,[],[f26199]) ).
cnf(s1881,plain,
( spl0_58
| ~ spl0_263
| spl0_270
| ~ spl0_288
| ~ spl0_391 ),
inference(sat_conversion,[],[f26200]) ).
cnf(s1884,plain,
( ~ spl0_6
| ~ spl0_303
| ~ spl0_315 ),
inference(sat_conversion,[],[f26227]) ).
cnf(s1885,plain,
( ~ spl0_20
| ~ spl0_288
| ~ spl0_315 ),
inference(sat_conversion,[],[f26229]) ).
cnf(s1887,plain,
( ~ spl0_61
| ~ spl0_288
| ~ spl0_302 ),
inference(sat_conversion,[],[f26308]) ).
cnf(s1889,plain,
( ~ spl0_263
| ~ spl0_286
| ~ spl0_302 ),
inference(sat_conversion,[],[f26312]) ).
cnf(s1890,plain,
( ~ spl0_46
| ~ spl0_302 ),
inference(sat_conversion,[],[f26314]) ).
cnf(s1896,plain,
( spl0_58
| ~ spl0_263
| spl0_270
| ~ spl0_369 ),
inference(sat_conversion,[],[f26450]) ).
cnf(s1898,plain,
( spl0_34
| ~ spl0_243 ),
inference(sat_conversion,[],[f26452]) ).
cnf(s1900,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_44 ),
inference(sat_conversion,[],[f26461]) ).
cnf(s1901,plain,
( ~ spl0_46
| spl0_68 ),
inference(sat_conversion,[],[f26489]) ).
cnf(s1909,plain,
( ~ spl0_61
| ~ spl0_111
| ~ spl0_306 ),
inference(sat_conversion,[],[f26625]) ).
cnf(s1911,plain,
( ~ spl0_263
| ~ spl0_267
| ~ spl0_369 ),
inference(sat_conversion,[],[f26646]) ).
cnf(s1919,plain,
( ~ spl0_135
| ~ spl0_170
| spl0_286 ),
inference(sat_conversion,[],[f26861]) ).
cnf(s1920,plain,
( ~ spl0_132
| ~ spl0_135
| spl0_286
| ~ spl0_344 ),
inference(sat_conversion,[],[f26862]) ).
cnf(s1928,plain,
( ~ spl0_111
| ~ spl0_263
| ~ spl0_288
| spl0_301 ),
inference(sat_conversion,[],[f27100]) ).
cnf(s1929,plain,
( ~ spl0_61
| ~ spl0_111
| spl0_164
| ~ spl0_286 ),
inference(sat_conversion,[],[f27101]) ).
cnf(s1931,plain,
( spl0_161
| ~ spl0_263
| spl0_283
| ~ spl0_369 ),
inference(sat_conversion,[],[f27341]) ).
cnf(s1932,plain,
( spl0_91
| ~ spl0_263
| spl0_284
| ~ spl0_369 ),
inference(sat_conversion,[],[f27343]) ).
cnf(s1935,plain,
( spl0_275
| ~ spl0_347
| spl0_367 ),
inference(sat_conversion,[],[f27418]) ).
cnf(s1939,plain,
( spl0_203
| ~ spl0_227 ),
inference(sat_conversion,[],[f27509]) ).
cnf(s1942,plain,
( spl0_58
| ~ spl0_263
| spl0_270
| ~ spl0_303
| ~ spl0_368 ),
inference(sat_conversion,[],[f27588]) ).
cnf(s1948,plain,
( ~ spl0_70
| ~ spl0_149
| spl0_275 ),
inference(sat_conversion,[],[f27730]) ).
cnf(s1950,plain,
( ~ spl0_7
| spl0_58
| ~ spl0_120
| ~ spl0_135
| spl0_275 ),
inference(sat_conversion,[],[f27732]) ).
cnf(s1954,plain,
( ~ spl0_6
| ~ spl0_145
| ~ spl0_181
| ~ spl0_309 ),
inference(sat_conversion,[],[f27752]) ).
cnf(s1955,plain,
( ~ spl0_145
| ~ spl0_181
| ~ spl0_308 ),
inference(sat_conversion,[],[f27754]) ).
cnf(s1956,plain,
( ~ spl0_13
| ~ spl0_145
| ~ spl0_343 ),
inference(sat_conversion,[],[f27756]) ).
cnf(s1960,plain,
( ~ spl0_50
| ~ spl0_117
| spl0_309
| spl0_366 ),
inference(sat_conversion,[],[f27760]) ).
cnf(s1964,plain,
( ~ spl0_61
| ~ spl0_141
| ~ spl0_192 ),
inference(sat_conversion,[],[f27765]) ).
cnf(s1967,plain,
( ~ spl0_266
| ~ spl0_303
| spl0_308
| ~ spl0_309 ),
inference(sat_conversion,[],[f27771]) ).
cnf(s1971,plain,
( ~ spl0_120
| ~ spl0_137
| ~ spl0_147
| spl0_275 ),
inference(sat_conversion,[],[f27778]) ).
cnf(s1972,plain,
( ~ spl0_54
| spl0_58
| ~ spl0_225 ),
inference(sat_conversion,[],[f27779]) ).
cnf(s1980,plain,
( ~ spl0_120
| ~ spl0_174
| spl0_275
| spl0_366 ),
inference(sat_conversion,[],[f27889]) ).
cnf(s1983,plain,
( ~ spl0_27
| spl0_136
| ~ spl0_266
| ~ spl0_293 ),
inference(sat_conversion,[],[f28007]) ).
cnf(s1987,plain,
( ~ spl0_91
| spl0_115
| ~ spl0_147
| spl0_275 ),
inference(sat_conversion,[],[f28109]) ).
cnf(s1988,plain,
( ~ spl0_13
| spl0_136
| ~ spl0_145
| ~ spl0_155 ),
inference(sat_conversion,[],[f28142]) ).
cnf(s1991,plain,
( ~ spl0_70
| spl0_267
| ~ spl0_289
| spl0_405 ),
inference(sat_conversion,[],[f28275]) ).
cnf(s1995,plain,
( ~ spl0_277
| spl0_284
| spl0_335 ),
inference(sat_conversion,[],[f28455]) ).
cnf(s1998,plain,
( ~ spl0_82
| spl0_111
| ~ spl0_365 ),
inference(sat_conversion,[],[f28515]) ).
cnf(s2001,plain,
( ~ spl0_275
| ~ spl0_313
| spl0_368 ),
inference(sat_conversion,[],[f28565]) ).
cnf(s2005,plain,
( ~ spl0_170
| ~ spl0_266
| ~ spl0_280
| ~ spl0_306 ),
inference(sat_conversion,[],[f28678]) ).
cnf(s2006,plain,
( spl0_161
| ~ spl0_266
| spl0_267
| ~ spl0_306 ),
inference(sat_conversion,[],[f28681]) ).
cnf(s2010,plain,
( spl0_118
| ~ spl0_266
| spl0_284
| ~ spl0_306 ),
inference(sat_conversion,[],[f28684]) ).
cnf(s2011,plain,
( ~ spl0_161
| ~ spl0_263
| ~ spl0_369
| spl0_407 ),
inference(sat_conversion,[],[f28817]) ).
cnf(s2012,plain,
( ~ spl0_29
| ~ spl0_84
| ~ spl0_293
| ~ spl0_407 ),
inference(sat_conversion,[],[f28835]) ).
cnf(s2014,plain,
( spl0_202
| ~ spl0_266
| ~ spl0_306
| spl0_307 ),
inference(sat_conversion,[],[f28841]) ).
cnf(s2017,plain,
( ~ spl0_70
| spl0_293
| ~ spl0_362 ),
inference(sat_conversion,[],[f28844]) ).
cnf(s2018,plain,
( spl0_293
| spl0_401 ),
inference(sat_conversion,[],[f28845]) ).
cnf(s2019,plain,
( ~ spl0_270
| spl0_307
| spl0_409 ),
inference(sat_conversion,[],[f28849]) ).
cnf(s2026,plain,
( ~ spl0_22
| ~ spl0_50
| spl0_307
| ~ spl0_325 ),
inference(sat_conversion,[],[f28860]) ).
cnf(s2027,plain,
( ~ spl0_50
| ~ spl0_115
| spl0_309 ),
inference(sat_conversion,[],[f28861]) ).
cnf(s2032,plain,
( spl0_20
| ~ spl0_22
| ~ spl0_189
| spl0_358 ),
inference(sat_conversion,[],[f28867]) ).
cnf(s2042,plain,
( ~ spl0_82
| spl0_284
| ~ spl0_407 ),
inference(sat_conversion,[],[f28878]) ).
cnf(s2055,plain,
( ~ spl0_2
| spl0_309
| spl0_313 ),
inference(sat_conversion,[],[f28950]) ).
cnf(s2056,plain,
( ~ spl0_2
| ~ spl0_68
| ~ spl0_286
| spl0_368 ),
inference(sat_conversion,[],[f28951]) ).
cnf(s2057,plain,
( ~ spl0_263
| ~ spl0_307
| spl0_308
| ~ spl0_313 ),
inference(sat_conversion,[],[f28978]) ).
cnf(s2058,plain,
( ~ spl0_166
| ~ spl0_281
| spl0_286
| spl0_354 ),
inference(sat_conversion,[],[f29058]) ).
cnf(s2062,plain,
( ~ spl0_120
| ~ spl0_200
| spl0_275 ),
inference(sat_conversion,[],[f29124]) ).
cnf(s2063,plain,
( spl0_61
| ~ spl0_107
| spl0_139 ),
inference(sat_conversion,[],[f29126]) ).
cnf(s2064,plain,
( ~ spl0_94
| ~ spl0_117
| spl0_275
| spl0_365 ),
inference(sat_conversion,[],[f29127]) ).
cnf(s2066,plain,
( ~ spl0_94
| spl0_267
| ~ spl0_272
| ~ spl0_281 ),
inference(sat_conversion,[],[f29129]) ).
cnf(s2069,plain,
( ~ spl0_23
| ~ spl0_48
| spl0_61
| ~ spl0_132 ),
inference(sat_conversion,[],[f29135]) ).
cnf(s2072,plain,
( ~ spl0_141
| ~ spl0_286
| ~ spl0_313 ),
inference(sat_conversion,[],[f29182]) ).
cnf(s2074,plain,
( ~ spl0_48
| ~ spl0_117
| spl0_145
| spl0_149 ),
inference(sat_conversion,[],[f29185]) ).
cnf(s2076,plain,
( ~ spl0_270
| spl0_283
| spl0_326 ),
inference(sat_conversion,[],[f29187]) ).
cnf(s2078,plain,
( ~ spl0_72
| ~ spl0_145
| ~ spl0_275
| spl0_306 ),
inference(sat_conversion,[],[f29189]) ).
cnf(s2079,plain,
( spl0_68
| ~ spl0_107
| spl0_392 ),
inference(sat_conversion,[],[f29190]) ).
cnf(s2081,plain,
( ~ spl0_48
| ~ spl0_135
| ~ spl0_272
| spl0_278 ),
inference(sat_conversion,[],[f29192]) ).
cnf(s2083,plain,
( spl0_58
| ~ spl0_107
| spl0_132 ),
inference(sat_conversion,[],[f29194]) ).
cnf(s2086,plain,
( ~ spl0_13
| ~ spl0_58
| ~ spl0_164 ),
inference(sat_conversion,[],[f29206]) ).
cnf(s2107,plain,
( ~ spl0_38
| spl0_89
| ~ spl0_147
| ~ spl0_285
| spl0_286 ),
inference(sat_conversion,[],[f29472]) ).
cnf(s2108,plain,
( ~ spl0_18
| spl0_111
| spl0_286
| spl0_355 ),
inference(sat_conversion,[],[f29473]) ).
cnf(s2109,plain,
( ~ spl0_23
| spl0_111
| ~ spl0_149 ),
inference(sat_conversion,[],[f29474]) ).
cnf(s2110,plain,
( spl0_118
| spl0_148
| spl0_286 ),
inference(sat_conversion,[],[f29475]) ).
cnf(s2112,plain,
( ~ spl0_16
| spl0_111
| spl0_286
| spl0_412 ),
inference(sat_conversion,[],[f29480]) ).
cnf(s2113,plain,
( ~ spl0_266
| ~ spl0_307
| ~ spl0_308 ),
inference(sat_conversion,[],[f29582]) ).
cnf(s2114,plain,
( spl0_202
| spl0_286
| spl0_313 ),
inference(sat_conversion,[],[f29584]) ).
cnf(s2120,plain,
( ~ spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f29611]) ).
cnf(s2121,plain,
( ~ spl0_11
| ~ spl0_263
| spl0_311 ),
inference(sat_conversion,[],[f29614]) ).
cnf(s2126,plain,
( ~ spl0_186
| spl0_233 ),
inference(sat_conversion,[],[f29655]) ).
cnf(s2131,plain,
( ~ spl0_136
| ~ spl0_156
| ~ spl0_263
| spl0_311 ),
inference(sat_conversion,[],[f29688]) ).
cnf(s2142,plain,
( ~ spl0_135
| spl0_286
| ~ spl0_356
| ~ spl0_392 ),
inference(sat_conversion,[],[f29863]) ).
cnf(s2143,plain,
( ~ spl0_136
| ~ spl0_181
| spl0_318 ),
inference(sat_conversion,[],[f29924]) ).
cnf(s2146,plain,
( ~ spl0_2
| spl0_17
| spl0_192 ),
inference(sat_conversion,[],[f30052]) ).
cnf(s2148,plain,
( ~ spl0_27
| ~ spl0_136
| ~ spl0_263
| spl0_293 ),
inference(sat_conversion,[],[f30119]) ).
cnf(s2154,plain,
( ~ spl0_5
| spl0_145
| spl0_286
| spl0_355 ),
inference(sat_conversion,[],[f30569]) ).
cnf(s2155,plain,
( ~ spl0_263
| ~ spl0_267
| ~ spl0_275
| spl0_302 ),
inference(sat_conversion,[],[f30570]) ).
cnf(s2156,plain,
( ~ spl0_50
| spl0_68
| ~ spl0_118
| spl0_225 ),
inference(sat_conversion,[],[f30571]) ).
cnf(s2160,plain,
( ~ spl0_29
| ~ spl0_119
| ~ spl0_136
| ~ spl0_354 ),
inference(sat_conversion,[],[f30577]) ).
cnf(s2161,plain,
( ~ spl0_48
| spl0_58
| ~ spl0_118
| spl0_170 ),
inference(sat_conversion,[],[f30578]) ).
cnf(s2163,plain,
( ~ spl0_54
| spl0_58
| spl0_170
| ~ spl0_202 ),
inference(sat_conversion,[],[f30580]) ).
cnf(s2166,plain,
( ~ spl0_20
| spl0_44
| ~ spl0_111
| ~ spl0_136 ),
inference(sat_conversion,[],[f30585]) ).
cnf(s2167,plain,
( ~ spl0_13
| ~ spl0_58
| ~ spl0_61
| spl0_143 ),
inference(sat_conversion,[],[f30586]) ).
cnf(s2168,plain,
( ~ spl0_48
| ~ spl0_70
| spl0_278
| ~ spl0_406 ),
inference(sat_conversion,[],[f30587]) ).
cnf(s2170,plain,
( spl0_111
| ~ spl0_157 ),
inference(sat_conversion,[],[f30590]) ).
cnf(s2171,plain,
( spl0_89
| spl0_134
| ~ spl0_171 ),
inference(sat_conversion,[],[f30591]) ).
cnf(s2174,plain,
( ~ spl0_61
| ~ spl0_111
| ~ spl0_275
| spl0_343 ),
inference(sat_conversion,[],[f30596]) ).
cnf(s2175,plain,
( ~ spl0_110
| spl0_111
| spl0_131 ),
inference(sat_conversion,[],[f30597]) ).
cnf(s2178,plain,
( ~ spl0_89
| ~ spl0_148
| spl0_164
| ~ spl0_275 ),
inference(sat_conversion,[],[f30635]) ).
cnf(s2180,plain,
( ~ spl0_110
| spl0_145
| spl0_413 ),
inference(sat_conversion,[],[f30642]) ).
cnf(s2181,plain,
( ~ spl0_22
| spl0_307
| ~ spl0_408 ),
inference(sat_conversion,[],[f30643]) ).
cnf(s2183,plain,
( ~ spl0_13
| ~ spl0_72
| ~ spl0_89
| spl0_164 ),
inference(sat_conversion,[],[f30646]) ).
cnf(s2185,plain,
( ~ spl0_22
| ~ spl0_29
| ~ spl0_84
| ~ spl0_136
| ~ spl0_412 ),
inference(sat_conversion,[],[f30649]) ).
cnf(s2189,plain,
( ~ spl0_89
| ~ spl0_148
| spl0_164
| ~ spl0_275 ),
inference(sat_conversion,[],[f30653]) ).
cnf(s2190,plain,
( spl0_107
| spl0_136
| spl0_286 ),
inference(sat_conversion,[],[f30654]) ).
cnf(s2196,plain,
( ~ spl0_29
| ~ spl0_156
| ~ spl0_313 ),
inference(sat_conversion,[],[f30726]) ).
cnf(s2201,plain,
( ~ spl0_171
| spl0_267
| spl0_326 ),
inference(sat_conversion,[],[f30896]) ).
cnf(s2203,plain,
( ~ spl0_135
| ~ spl0_264
| spl0_268
| ~ spl0_289 ),
inference(sat_conversion,[],[f30959]) ).
cnf(s2208,plain,
( ~ spl0_265
| spl0_267
| ~ spl0_348
| ~ spl0_367 ),
inference(sat_conversion,[],[f31014]) ).
cnf(s2217,plain,
( ~ spl0_268
| spl0_278
| ~ spl0_344 ),
inference(sat_conversion,[],[f31160]) ).
cnf(s2219,plain,
( ~ spl0_194
| ~ spl0_264
| spl0_267
| spl0_279 ),
inference(sat_conversion,[],[f31163]) ).
cnf(s2221,plain,
( spl0_267
| ~ spl0_268
| spl0_286 ),
inference(sat_conversion,[],[f31165]) ).
cnf(s2223,plain,
( ~ spl0_29
| ~ spl0_136
| ~ spl0_313 ),
inference(sat_conversion,[],[f31182]) ).
cnf(s2231,plain,
( ~ spl0_29
| ~ spl0_265
| spl0_279
| ~ spl0_293 ),
inference(sat_conversion,[],[f31535]) ).
cnf(s2233,plain,
( ~ spl0_265
| ~ spl0_280
| ~ spl0_401
| ~ spl0_413 ),
inference(sat_conversion,[],[f31542]) ).
cnf(s2234,plain,
( ~ spl0_27
| ~ spl0_72
| ~ spl0_267
| spl0_293 ),
inference(sat_conversion,[],[f31543]) ).
cnf(s2235,plain,
( ~ spl0_6
| ~ spl0_136
| ~ spl0_322 ),
inference(sat_conversion,[],[f31545]) ).
cnf(s2241,plain,
( ~ spl0_135
| ~ spl0_265
| ~ spl0_408 ),
inference(sat_conversion,[],[f31619]) ).
cnf(s2242,plain,
( ~ spl0_6
| ~ spl0_72
| ~ spl0_136
| ~ spl0_368 ),
inference(sat_conversion,[],[f31677]) ).
cnf(s2246,plain,
( ~ spl0_148
| ~ spl0_275
| spl0_391 ),
inference(sat_conversion,[],[f31926]) ).
cnf(s2247,plain,
( ~ spl0_111
| ~ spl0_148
| spl0_374 ),
inference(sat_conversion,[],[f31927]) ).
cnf(s2248,plain,
( ~ spl0_29
| ~ spl0_136
| spl0_209
| spl0_286 ),
inference(sat_conversion,[],[f31955]) ).
cnf(s2256,plain,
( ~ spl0_264
| ~ spl0_265
| spl0_286
| spl0_354 ),
inference(sat_conversion,[],[f32207]) ).
cnf(s2257,plain,
( ~ spl0_29
| ~ spl0_136
| ~ spl0_264
| ~ spl0_265
| spl0_397 ),
inference(sat_conversion,[],[f32210]) ).
cnf(s2259,plain,
( ~ spl0_13
| ~ spl0_278
| ~ spl0_288
| spl0_315 ),
inference(sat_conversion,[],[f32211]) ).
cnf(s2268,plain,
( ~ spl0_48
| ~ spl0_82
| spl0_111
| spl0_145
| ~ spl0_347 ),
inference(sat_conversion,[],[f32325]) ).
cnf(s2269,plain,
( ~ spl0_4
| ~ spl0_84
| ~ spl0_119
| spl0_267
| spl0_307 ),
inference(sat_conversion,[],[f32326]) ).
cnf(s2271,plain,
( ~ spl0_82
| ~ spl0_119
| spl0_267
| spl0_284
| ~ spl0_357 ),
inference(sat_conversion,[],[f32328]) ).
cnf(s2273,plain,
( ~ spl0_50
| ~ spl0_119
| spl0_303
| ~ spl0_406 ),
inference(sat_conversion,[],[f32330]) ).
cnf(s2274,plain,
( ~ spl0_1
| spl0_68
| spl0_267
| ~ spl0_349 ),
inference(sat_conversion,[],[f32331]) ).
cnf(s2276,plain,
( ~ spl0_23
| ~ spl0_29
| ~ spl0_36
| ~ spl0_72
| spl0_89
| ~ spl0_171 ),
inference(sat_conversion,[],[f32334]) ).
cnf(s2280,plain,
( ~ spl0_13
| ~ spl0_89
| ~ spl0_136
| ~ spl0_148
| ~ spl0_275 ),
inference(sat_conversion,[],[f32342]) ).
cnf(s2283,plain,
( ~ spl0_36
| ~ spl0_48
| spl0_111
| spl0_145
| ~ spl0_415 ),
inference(sat_conversion,[],[f32347]) ).
cnf(s2285,plain,
( ~ spl0_270
| spl0_293
| spl0_408 ),
inference(sat_conversion,[],[f32349]) ).
cnf(s2290,plain,
( ~ spl0_264
| spl0_293
| spl0_422 ),
inference(sat_conversion,[],[f32357]) ).
cnf(s2291,plain,
( ~ spl0_7
| spl0_145
| ~ spl0_264
| ~ spl0_280
| ~ spl0_349 ),
inference(sat_conversion,[],[f32358]) ).
cnf(s2292,plain,
( ~ spl0_147
| ~ spl0_264
| spl0_286
| ~ spl0_406 ),
inference(sat_conversion,[],[f32359]) ).
cnf(s2293,plain,
( ~ spl0_264
| spl0_267
| ~ spl0_349
| ~ spl0_355 ),
inference(sat_conversion,[],[f32360]) ).
cnf(s2294,plain,
( ~ spl0_4
| ~ spl0_29
| ~ spl0_72
| ~ spl0_119
| spl0_267
| spl0_307 ),
inference(sat_conversion,[],[f32363]) ).
cnf(s2295,plain,
( spl0_148
| spl0_167
| spl0_286 ),
inference(sat_conversion,[],[f32365]) ).
cnf(s2304,plain,
( ~ spl0_263
| ~ spl0_288
| ~ spl0_374 ),
inference(sat_conversion,[],[f32493]) ).
cnf(s2306,plain,
( ~ spl0_136
| ~ spl0_263
| ~ spl0_315 ),
inference(sat_conversion,[],[f32518]) ).
cnf(s2309,plain,
( ~ spl0_208
| spl0_267
| spl0_335 ),
inference(sat_conversion,[],[f32719]) ).
cnf(s2313,plain,
( spl0_267
| ~ spl0_352
| ~ spl0_424 ),
inference(sat_conversion,[],[f32905]) ).
cnf(s2317,plain,
( ~ spl0_174
| spl0_267
| spl0_327
| ~ spl0_349 ),
inference(sat_conversion,[],[f32992]) ).
cnf(s2318,plain,
( ~ spl0_2
| ~ spl0_266
| spl0_303
| ~ spl0_308 ),
inference(sat_conversion,[],[f33072]) ).
cnf(s2322,plain,
( ~ spl0_17
| spl0_95
| ~ spl0_148
| ~ spl0_309 ),
inference(sat_conversion,[],[f33076]) ).
cnf(s2326,plain,
( ~ spl0_119
| spl0_267
| ~ spl0_327 ),
inference(sat_conversion,[],[f33084]) ).
cnf(s2333,plain,
( ~ spl0_264
| spl0_279
| ~ spl0_414 ),
inference(sat_conversion,[],[f33298]) ).
cnf(s2336,plain,
( ~ spl0_16
| spl0_111
| ~ spl0_264
| spl0_274 ),
inference(sat_conversion,[],[f33303]) ).
cnf(s2343,plain,
( ~ spl0_1
| ~ spl0_119
| ~ spl0_266
| spl0_303
| ~ spl0_306 ),
inference(sat_conversion,[],[f33389]) ).
cnf(s2347,plain,
( ~ spl0_50
| ~ spl0_91
| spl0_195
| spl0_227 ),
inference(sat_conversion,[],[f33398]) ).
cnf(s2348,plain,
( ~ spl0_50
| spl0_195
| ~ spl0_425 ),
inference(sat_conversion,[],[f33399]) ).
cnf(s2351,plain,
( ~ spl0_4
| ~ spl0_120
| ~ spl0_264
| spl0_307
| ~ spl0_356 ),
inference(sat_conversion,[],[f33405]) ).
cnf(s2352,plain,
( ~ spl0_1
| ~ spl0_264
| spl0_309
| ~ spl0_349 ),
inference(sat_conversion,[],[f33407]) ).
cnf(s2354,plain,
( ~ spl0_171
| spl0_195
| spl0_427 ),
inference(sat_conversion,[],[f33412]) ).
cnf(s2356,plain,
( ~ spl0_50
| spl0_227
| spl0_313
| ~ spl0_419 ),
inference(sat_conversion,[],[f33415]) ).
cnf(s2360,plain,
( ~ spl0_50
| spl0_89
| ~ spl0_209
| spl0_227 ),
inference(sat_conversion,[],[f33420]) ).
cnf(s2362,plain,
( ~ spl0_264
| spl0_309
| spl0_395 ),
inference(sat_conversion,[],[f33426]) ).
cnf(s2363,plain,
( ~ spl0_120
| ~ spl0_202
| spl0_286
| spl0_354 ),
inference(sat_conversion,[],[f33427]) ).
cnf(s2373,plain,
( ~ spl0_4
| ~ spl0_120
| ~ spl0_264
| spl0_307
| spl0_313 ),
inference(sat_conversion,[],[f33448]) ).
cnf(s2374,plain,
( ~ spl0_4
| ~ spl0_120
| spl0_195
| spl0_286
| spl0_313 ),
inference(sat_conversion,[],[f33449]) ).
cnf(s2380,plain,
( ~ spl0_72
| spl0_141
| ~ spl0_181
| ~ spl0_195 ),
inference(sat_conversion,[],[f33472]) ).
cnf(s2381,plain,
( spl0_209
| spl0_286
| spl0_313 ),
inference(sat_conversion,[],[f33473]) ).
cnf(s2383,plain,
( ~ spl0_36
| ~ spl0_84
| spl0_309
| ~ spl0_400 ),
inference(sat_conversion,[],[f33476]) ).
cnf(s2387,plain,
( spl0_145
| spl0_308
| ~ spl0_309
| ~ spl0_379 ),
inference(sat_conversion,[],[f33526]) ).
cnf(s2397,plain,
( ~ spl0_264
| ~ spl0_348
| ~ spl0_354 ),
inference(sat_conversion,[],[f33788]) ).
cnf(s2404,plain,
( ~ spl0_36
| ~ spl0_167
| spl0_195
| spl0_243 ),
inference(sat_conversion,[],[f34077]) ).
cnf(s2406,plain,
( ~ spl0_264
| spl0_267
| spl0_405
| ~ spl0_417 ),
inference(sat_conversion,[],[f34201]) ).
cnf(s2407,plain,
( spl0_161
| spl0_267
| spl0_283 ),
inference(sat_conversion,[],[f34290]) ).
cnf(s2408,plain,
( ~ spl0_161
| spl0_267
| spl0_407 ),
inference(sat_conversion,[],[f34308]) ).
cnf(s2409,plain,
( ~ spl0_161
| spl0_195
| spl0_200 ),
inference(sat_conversion,[],[f34309]) ).
cnf(s2411,plain,
( spl0_141
| ~ spl0_195
| ~ spl0_275
| ~ spl0_313 ),
inference(sat_conversion,[],[f34311]) ).
cnf(s2412,plain,
( ~ spl0_70
| spl0_283
| ~ spl0_408 ),
inference(sat_conversion,[],[f34313]) ).
cnf(s2420,plain,
( spl0_58
| ~ spl0_68
| spl0_141
| ~ spl0_379 ),
inference(sat_conversion,[],[f34324]) ).
cnf(s2422,plain,
( ~ spl0_156
| ~ spl0_278
| spl0_328 ),
inference(sat_conversion,[],[f34327]) ).
cnf(s2423,plain,
( ~ spl0_23
| spl0_284
| ~ spl0_408 ),
inference(sat_conversion,[],[f34328]) ).
cnf(s2424,plain,
( spl0_267
| ~ spl0_414
| spl0_426 ),
inference(sat_conversion,[],[f34329]) ).
cnf(s2426,plain,
( ~ spl0_111
| ~ spl0_266
| ~ spl0_288
| spl0_343 ),
inference(sat_conversion,[],[f34331]) ).
cnf(s2427,plain,
( ~ spl0_195
| ~ spl0_275
| ~ spl0_308 ),
inference(sat_conversion,[],[f34332]) ).
cnf(s2428,plain,
( ~ spl0_70
| spl0_170
| spl0_286
| ~ spl0_422 ),
inference(sat_conversion,[],[f34333]) ).
cnf(s2429,plain,
( ~ spl0_136
| ~ spl0_181
| ~ spl0_195
| ~ spl0_275
| ~ spl0_313 ),
inference(sat_conversion,[],[f34334]) ).
cnf(s2430,plain,
( spl0_283
| ~ spl0_395
| spl0_416 ),
inference(sat_conversion,[],[f34335]) ).
cnf(s2432,plain,
( ~ spl0_84
| spl0_303
| ~ spl0_405 ),
inference(sat_conversion,[],[f34340]) ).
cnf(s2434,plain,
( spl0_174
| spl0_267
| spl0_307 ),
inference(sat_conversion,[],[f34342]) ).
cnf(s2439,plain,
( spl0_293
| ~ spl0_395
| spl0_409 ),
inference(sat_conversion,[],[f34347]) ).
cnf(s2440,plain,
( spl0_87
| spl0_267
| spl0_293 ),
inference(sat_conversion,[],[f34349]) ).
cnf(s2442,plain,
( ~ spl0_22
| ~ spl0_40
| spl0_192 ),
inference(sat_conversion,[],[f34352]) ).
cnf(s2443,plain,
( spl0_307
| ~ spl0_395
| spl0_433 ),
inference(sat_conversion,[],[f34356]) ).
cnf(s2444,plain,
( ~ spl0_119
| ~ spl0_273
| spl0_283
| spl0_286 ),
inference(sat_conversion,[],[f34358]) ).
cnf(s2445,plain,
( ~ spl0_4
| ~ spl0_119
| spl0_195
| spl0_267
| spl0_307 ),
inference(sat_conversion,[],[f34359]) ).
cnf(s2448,plain,
( ~ spl0_192
| ~ spl0_370
| ~ spl0_376 ),
inference(sat_conversion,[],[f34413]) ).
cnf(s2458,plain,
( ~ spl0_89
| ~ spl0_95
| ~ spl0_195 ),
inference(sat_conversion,[],[f34460]) ).
cnf(s2461,plain,
( ~ spl0_50
| ~ spl0_84
| spl0_307
| ~ spl0_335 ),
inference(sat_conversion,[],[f34463]) ).
cnf(s2462,plain,
( ~ spl0_48
| ~ spl0_54
| spl0_72
| ~ spl0_137 ),
inference(sat_conversion,[],[f34464]) ).
cnf(s2465,plain,
( spl0_72
| ~ spl0_171
| spl0_434 ),
inference(sat_conversion,[],[f34471]) ).
cnf(s2470,plain,
( ~ spl0_72
| ~ spl0_136
| spl0_143
| ~ spl0_275 ),
inference(sat_conversion,[],[f34476]) ).
cnf(s2471,plain,
( ~ spl0_6
| ~ spl0_20
| ~ spl0_136
| ~ spl0_316 ),
inference(sat_conversion,[],[f34477]) ).
cnf(s2474,plain,
( spl0_13
| spl0_17
| ~ spl0_221 ),
inference(sat_conversion,[],[f34497]) ).
cnf(s2479,plain,
( spl0_293
| ~ spl0_303
| spl0_304
| ~ spl0_382 ),
inference(sat_conversion,[],[f34564]) ).
cnf(s2482,plain,
( ~ spl0_6
| ~ spl0_309
| ~ spl0_311 ),
inference(sat_conversion,[],[f34643]) ).
cnf(s2485,plain,
( ~ spl0_136
| ~ spl0_309
| spl0_318 ),
inference(sat_conversion,[],[f34698]) ).
cnf(s2487,plain,
( ~ spl0_23
| spl0_89
| ~ spl0_434 ),
inference(sat_conversion,[],[f34701]) ).
cnf(s2488,plain,
( spl0_267
| ~ spl0_280
| ~ spl0_434 ),
inference(sat_conversion,[],[f34702]) ).
cnf(s2498,plain,
( ~ spl0_44
| ~ spl0_136
| ~ spl0_148 ),
inference(sat_conversion,[],[f34761]) ).
cnf(s2501,plain,
( ~ spl0_24
| spl0_61
| ~ spl0_147
| spl0_286 ),
inference(sat_conversion,[],[f34764]) ).
cnf(s2502,plain,
( ~ spl0_61
| spl0_164
| ~ spl0_283
| ~ spl0_288 ),
inference(sat_conversion,[],[f34765]) ).
cnf(s2504,plain,
( ~ spl0_14
| ~ spl0_94
| spl0_111
| ~ spl0_119
| spl0_286 ),
inference(sat_conversion,[],[f34767]) ).
cnf(s2505,plain,
( spl0_95
| ~ spl0_192
| ~ spl0_288
| ~ spl0_307 ),
inference(sat_conversion,[],[f34768]) ).
cnf(s2510,plain,
( spl0_62
| spl0_72
| spl0_83 ),
inference(sat_conversion,[],[f34810]) ).
cnf(s2516,plain,
( ~ spl0_2
| ~ spl0_136
| spl0_313
| spl0_318 ),
inference(sat_conversion,[],[f34845]) ).
cnf(s2518,plain,
( spl0_17
| ~ spl0_22
| ~ spl0_122 ),
inference(sat_conversion,[],[f34869]) ).
cnf(s2527,plain,
( ~ spl0_6
| spl0_29
| ~ spl0_136
| ~ spl0_309 ),
inference(sat_conversion,[],[f35187]) ).
cnf(s2529,plain,
( ~ spl0_2
| spl0_303
| spl0_307 ),
inference(sat_conversion,[],[f35189]) ).
cnf(s2531,plain,
( ~ spl0_22
| spl0_72
| ~ spl0_209
| spl0_358 ),
inference(sat_conversion,[],[f35191]) ).
cnf(s2532,plain,
( spl0_136
| spl0_165
| spl0_286 ),
inference(sat_conversion,[],[f35192]) ).
cnf(s2536,plain,
( ~ spl0_83
| ~ spl0_119
| spl0_267
| ~ spl0_418 ),
inference(sat_conversion,[],[f35197]) ).
cnf(s2537,plain,
( spl0_20
| ~ spl0_32
| spl0_40 ),
inference(sat_conversion,[],[f35199]) ).
cnf(s2551,plain,
( ~ spl0_209
| spl0_275
| ~ spl0_356
| spl0_397 ),
inference(sat_conversion,[],[f35360]) ).
cnf(s2556,plain,
( ~ spl0_23
| spl0_61
| ~ spl0_170 ),
inference(sat_conversion,[],[f35400]) ).
cnf(s2557,plain,
( ~ spl0_111
| ~ spl0_192
| ~ spl0_308 ),
inference(sat_conversion,[],[f35416]) ).
cnf(s2567,plain,
( ~ spl0_94
| ~ spl0_115
| spl0_275 ),
inference(sat_conversion,[],[f35540]) ).
cnf(s2569,plain,
( ~ spl0_192
| ~ spl0_313
| ~ spl0_374 ),
inference(sat_conversion,[],[f35551]) ).
cnf(s2573,plain,
( ~ spl0_264
| spl0_275
| spl0_277 ),
inference(sat_conversion,[],[f35624]) ).
cnf(s2579,plain,
( ~ spl0_264
| spl0_275
| ~ spl0_405 ),
inference(sat_conversion,[],[f35725]) ).
cnf(s2580,plain,
( ~ spl0_83
| spl0_278
| ~ spl0_405 ),
inference(sat_conversion,[],[f35727]) ).
cnf(s2586,plain,
( spl0_148
| spl0_285
| spl0_295 ),
inference(sat_conversion,[],[f35746]) ).
cnf(s2590,plain,
( ~ spl0_83
| spl0_293
| ~ spl0_407 ),
inference(sat_conversion,[],[f35753]) ).
cnf(s2595,plain,
( ~ spl0_84
| spl0_307
| ~ spl0_407 ),
inference(sat_conversion,[],[f35755]) ).
cnf(s2600,plain,
( ~ spl0_22
| ~ spl0_26
| spl0_192
| spl0_358 ),
inference(sat_conversion,[],[f35760]) ).
cnf(s2613,plain,
( ~ spl0_36
| spl0_89
| ~ spl0_200 ),
inference(sat_conversion,[],[f35857]) ).
cnf(s2615,plain,
( ~ spl0_36
| spl0_288
| ~ spl0_327 ),
inference(sat_conversion,[],[f35859]) ).
cnf(s2618,plain,
( ~ spl0_22
| spl0_195
| ~ spl0_434 ),
inference(sat_conversion,[],[f35946]) ).
cnf(s2624,plain,
( spl0_72
| ~ spl0_161
| spl0_434 ),
inference(sat_conversion,[],[f36110]) ).
cnf(s2626,plain,
( ~ spl0_147
| spl0_284
| ~ spl0_351 ),
inference(sat_conversion,[],[f36156]) ).
cnf(s2627,plain,
( ~ spl0_22
| ~ spl0_87
| spl0_195
| spl0_358 ),
inference(sat_conversion,[],[f36239]) ).
cnf(s2633,plain,
( ~ spl0_32
| ~ spl0_94
| spl0_111
| spl0_286 ),
inference(sat_conversion,[],[f36370]) ).
cnf(s2634,plain,
( ~ spl0_32
| ~ spl0_147
| ~ spl0_265
| spl0_288 ),
inference(sat_conversion,[],[f36371]) ).
cnf(s2635,plain,
( ~ spl0_2
| ~ spl0_68
| ~ spl0_302
| spl0_307 ),
inference(sat_conversion,[],[f36372]) ).
cnf(s2636,plain,
( ~ spl0_2
| ~ spl0_17
| ~ spl0_164
| spl0_195 ),
inference(sat_conversion,[],[f36373]) ).
cnf(s2637,plain,
( ~ spl0_145
| ~ spl0_294
| spl0_308
| ~ spl0_309 ),
inference(sat_conversion,[],[f36374]) ).
cnf(s2640,plain,
( ~ spl0_13
| spl0_44
| ~ spl0_148
| ~ spl0_152 ),
inference(sat_conversion,[],[f36378]) ).
cnf(s2641,plain,
( ~ spl0_84
| spl0_309
| ~ spl0_365 ),
inference(sat_conversion,[],[f36379]) ).
cnf(s2644,plain,
( ~ spl0_152
| ~ spl0_263
| ~ spl0_278
| spl0_315 ),
inference(sat_conversion,[],[f36382]) ).
cnf(s2647,plain,
( ~ spl0_192
| ~ spl0_195
| ~ spl0_313
| ~ spl0_391 ),
inference(sat_conversion,[],[f36387]) ).
cnf(s2652,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_20
| spl0_29
| spl0_192 ),
inference(sat_conversion,[],[f36392]) ).
cnf(s2657,plain,
( ~ spl0_58
| spl0_292
| ~ spl0_302
| spl0_307
| ~ spl0_435 ),
inference(sat_conversion,[],[f36426]) ).
cnf(s2660,plain,
( ~ spl0_165
| spl0_275
| ~ spl0_344
| spl0_364 ),
inference(sat_conversion,[],[f36527]) ).
cnf(s2663,plain,
( ~ spl0_2
| ~ spl0_61
| ~ spl0_68
| spl0_141
| spl0_192 ),
inference(sat_conversion,[],[f36530]) ).
cnf(s2664,plain,
( ~ spl0_68
| ~ spl0_302
| ~ spl0_303 ),
inference(sat_conversion,[],[f36531]) ).
cnf(s2669,plain,
( spl0_183
| ~ spl0_358 ),
inference(sat_conversion,[],[f36656]) ).
cnf(s2678,plain,
( ~ spl0_61
| ~ spl0_192
| spl0_195
| ~ spl0_375 ),
inference(sat_conversion,[],[f36814]) ).
cnf(s2679,plain,
( ~ spl0_147
| ~ spl0_264
| ~ spl0_398 ),
inference(sat_conversion,[],[f36831]) ).
cnf(s2680,plain,
( ~ spl0_148
| ~ spl0_192
| spl0_316 ),
inference(sat_conversion,[],[f36947]) ).
cnf(s2682,plain,
( ~ spl0_190
| spl0_435 ),
inference(sat_conversion,[],[f36952]) ).
cnf(s2686,plain,
( ~ spl0_24
| ~ spl0_147
| ~ spl0_264
| spl0_288 ),
inference(sat_conversion,[],[f37055]) ).
cnf(s2687,plain,
( spl0_72
| spl0_134
| ~ spl0_208 ),
inference(sat_conversion,[],[f37146]) ).
cnf(s2688,plain,
( ~ spl0_264
| ~ spl0_269
| spl0_398
| ~ spl0_419 ),
inference(sat_conversion,[],[f37207]) ).
cnf(s2689,plain,
( ~ spl0_145
| ~ spl0_313
| spl0_318 ),
inference(sat_conversion,[],[f37229]) ).
cnf(s2690,plain,
( ~ spl0_148
| ~ spl0_266
| spl0_376 ),
inference(sat_conversion,[],[f37306]) ).
cnf(s2694,plain,
( spl0_137
| spl0_195
| ~ spl0_208 ),
inference(sat_conversion,[],[f37310]) ).
cnf(s2696,plain,
( ~ spl0_68
| ~ spl0_267
| ~ spl0_303
| spl0_304 ),
inference(sat_conversion,[],[f37312]) ).
cnf(s2698,plain,
( ~ spl0_22
| ~ spl0_50
| ~ spl0_134
| spl0_195 ),
inference(sat_conversion,[],[f37314]) ).
cnf(s2706,plain,
( ~ spl0_6
| spl0_29
| ~ spl0_68
| ~ spl0_72 ),
inference(sat_conversion,[],[f37360]) ).
cnf(s2708,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_148
| ~ spl0_318 ),
inference(sat_conversion,[],[f37363]) ).
cnf(s2722,plain,
( ~ spl0_148
| ~ spl0_309
| spl0_316 ),
inference(sat_conversion,[],[f37408]) ).
cnf(s2729,plain,
( ~ spl0_135
| spl0_275
| ~ spl0_434 ),
inference(sat_conversion,[],[f37521]) ).
cnf(s2744,plain,
( spl0_29
| ~ spl0_181
| ~ spl0_278
| ~ spl0_307 ),
inference(sat_conversion,[],[f38029]) ).
cnf(s2749,plain,
( ~ spl0_13
| spl0_44
| ~ spl0_278
| ~ spl0_284 ),
inference(sat_conversion,[],[f38043]) ).
cnf(s2750,plain,
( ~ spl0_263
| ~ spl0_278
| ~ spl0_303
| ~ spl0_318 ),
inference(sat_conversion,[],[f38044]) ).
cnf(s2751,plain,
( ~ spl0_72
| ~ spl0_181
| ~ spl0_267
| ~ spl0_278
| ~ spl0_303 ),
inference(sat_conversion,[],[f38045]) ).
cnf(s2752,plain,
( ~ spl0_84
| ~ spl0_161
| spl0_275
| spl0_313 ),
inference(sat_conversion,[],[f38046]) ).
cnf(s2753,plain,
( ~ spl0_195
| ~ spl0_267
| spl0_302
| ~ spl0_303 ),
inference(sat_conversion,[],[f38047]) ).
cnf(s2755,plain,
( spl0_148
| ~ spl0_265
| ~ spl0_349
| ~ spl0_350
| ~ spl0_357 ),
inference(sat_conversion,[],[f38049]) ).
cnf(s2756,plain,
( ~ spl0_131
| ~ spl0_265
| ~ spl0_280
| ~ spl0_350 ),
inference(sat_conversion,[],[f38050]) ).
cnf(s2757,plain,
( ~ spl0_36
| ~ spl0_144
| spl0_148
| spl0_436 ),
inference(sat_conversion,[],[f38054]) ).
cnf(s2759,plain,
( ~ spl0_94
| spl0_148
| ~ spl0_354 ),
inference(sat_conversion,[],[f38056]) ).
cnf(s2761,plain,
( ~ spl0_119
| spl0_313
| ~ spl0_354 ),
inference(sat_conversion,[],[f38059]) ).
cnf(s2762,plain,
( ~ spl0_72
| ~ spl0_267
| ~ spl0_278
| spl0_302 ),
inference(sat_conversion,[],[f38060]) ).
cnf(s2764,plain,
( ~ spl0_22
| ~ spl0_36
| ~ spl0_131
| spl0_309 ),
inference(sat_conversion,[],[f38063]) ).
cnf(s2766,plain,
( spl0_89
| ~ spl0_208
| spl0_425 ),
inference(sat_conversion,[],[f38065]) ).
cnf(s2767,plain,
( ~ spl0_70
| ~ spl0_82
| ~ spl0_131
| spl0_275 ),
inference(sat_conversion,[],[f38066]) ).
cnf(s2768,plain,
( ~ spl0_20
| ~ spl0_72
| ~ spl0_136
| ~ spl0_391 ),
inference(sat_conversion,[],[f38067]) ).
cnf(s2769,plain,
( ~ spl0_1
| ~ spl0_120
| ~ spl0_265
| spl0_303 ),
inference(sat_conversion,[],[f38068]) ).
cnf(s2773,plain,
( ~ spl0_1
| ~ spl0_119
| spl0_286
| spl0_309 ),
inference(sat_conversion,[],[f38072]) ).
cnf(s2774,plain,
( spl0_89
| ~ spl0_120
| ~ spl0_285
| spl0_286
| ~ spl0_357 ),
inference(sat_conversion,[],[f38073]) ).
cnf(s2775,plain,
( ~ spl0_23
| ~ spl0_36
| spl0_89
| ~ spl0_427 ),
inference(sat_conversion,[],[f38074]) ).
cnf(s2776,plain,
( ~ spl0_54
| ~ spl0_83
| spl0_293
| ~ spl0_416 ),
inference(sat_conversion,[],[f38075]) ).
cnf(s2777,plain,
( spl0_17
| ~ spl0_22
| ~ spl0_41
| spl0_243 ),
inference(sat_conversion,[],[f38076]) ).
cnf(s2778,plain,
( ~ spl0_20
| ~ spl0_136
| ~ spl0_374 ),
inference(sat_conversion,[],[f38077]) ).
cnf(s2789,plain,
( ~ spl0_36
| spl0_195
| ~ spl0_431 ),
inference(sat_conversion,[],[f38269]) ).
cnf(s2790,plain,
( ~ spl0_23
| spl0_72
| ~ spl0_431 ),
inference(sat_conversion,[],[f38270]) ).
cnf(s2795,plain,
( ~ spl0_6
| ~ spl0_20
| ~ spl0_192
| ~ spl0_284
| ~ spl0_293 ),
inference(sat_conversion,[],[f38558]) ).
cnf(s2796,plain,
( spl0_145
| ~ spl0_264
| spl0_270 ),
inference(sat_conversion,[],[f38559]) ).
cnf(s2805,plain,
( ~ spl0_8
| spl0_72
| ~ spl0_286
| ~ spl0_313
| ~ spl0_382 ),
inference(sat_conversion,[],[f38929]) ).
cnf(s2807,plain,
( ~ spl0_268
| ~ spl0_285
| spl0_288 ),
inference(sat_conversion,[],[f38964]) ).
cnf(s2809,plain,
( spl0_58
| ~ spl0_198
| ~ spl0_266
| ~ spl0_306
| spl0_426 ),
inference(sat_conversion,[],[f39030]) ).
cnf(s2815,plain,
( ~ spl0_44
| ~ spl0_271
| ~ spl0_284
| spl0_325 ),
inference(sat_conversion,[],[f39337]) ).
cnf(s2816,plain,
( ~ spl0_264
| spl0_272
| ~ spl0_282 ),
inference(sat_conversion,[],[f39371]) ).
cnf(s2817,plain,
( ~ spl0_147
| ~ spl0_264
| ~ spl0_282
| ~ spl0_285
| spl0_288 ),
inference(sat_conversion,[],[f39389]) ).
cnf(s2818,plain,
( ~ spl0_36
| ~ spl0_94
| spl0_288
| ~ spl0_426 ),
inference(sat_conversion,[],[f39390]) ).
cnf(s2820,plain,
( ~ spl0_282
| spl0_288
| spl0_437 ),
inference(sat_conversion,[],[f39396]) ).
cnf(s2825,plain,
( ~ spl0_271
| spl0_293
| spl0_325 ),
inference(sat_conversion,[],[f39401]) ).
cnf(s2829,plain,
( ~ spl0_120
| ~ spl0_198
| ~ spl0_264
| spl0_278
| ~ spl0_344 ),
inference(sat_conversion,[],[f39409]) ).
cnf(s2834,plain,
( spl0_278
| ~ spl0_282
| spl0_439 ),
inference(sat_conversion,[],[f39422]) ).
cnf(s2836,plain,
( ~ spl0_2
| spl0_195
| ~ spl0_267
| ~ spl0_303
| spl0_304 ),
inference(sat_conversion,[],[f39427]) ).
cnf(s2837,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_284
| ~ spl0_331 ),
inference(sat_conversion,[],[f39429]) ).
cnf(s2840,plain,
( ~ spl0_82
| spl0_148
| ~ spl0_417
| spl0_431 ),
inference(sat_conversion,[],[f39432]) ).
cnf(s2842,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_20
| ~ spl0_192
| ~ spl0_284
| spl0_303 ),
inference(sat_conversion,[],[f39434]) ).
cnf(s2843,plain,
( ~ spl0_264
| spl0_283
| spl0_417 ),
inference(sat_conversion,[],[f39435]) ).
cnf(s2845,plain,
( ~ spl0_23
| spl0_122
| spl0_148
| ~ spl0_422 ),
inference(sat_conversion,[],[f39438]) ).
cnf(s2847,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_20
| ~ spl0_192 ),
inference(sat_conversion,[],[f39475]) ).
cnf(s2848,plain,
( spl0_29
| ~ spl0_152
| ~ spl0_181
| ~ spl0_313 ),
inference(sat_conversion,[],[f39476]) ).
cnf(s2849,plain,
( spl0_136
| ~ spl0_264
| spl0_289 ),
inference(sat_conversion,[],[f39477]) ).
cnf(s2850,plain,
( ~ spl0_120
| ~ spl0_264
| ~ spl0_276
| spl0_283
| ~ spl0_305 ),
inference(sat_conversion,[],[f39478]) ).
cnf(s2852,plain,
( ~ spl0_23
| spl0_30
| ~ spl0_38
| ~ spl0_48 ),
inference(sat_conversion,[],[f39480]) ).
cnf(s2855,plain,
( ~ spl0_14
| spl0_111
| ~ spl0_264
| ~ spl0_269
| ~ spl0_349 ),
inference(sat_conversion,[],[f39483]) ).
cnf(s2856,plain,
( ~ spl0_48
| spl0_51
| spl0_89
| ~ spl0_165 ),
inference(sat_conversion,[],[f39484]) ).
cnf(s2857,plain,
( ~ spl0_48
| spl0_72
| ~ spl0_425 ),
inference(sat_conversion,[],[f39485]) ).
cnf(s2858,plain,
( ~ spl0_23
| spl0_136
| ~ spl0_436 ),
inference(sat_conversion,[],[f39487]) ).
cnf(s2859,plain,
( spl0_20
| ~ spl0_31
| spl0_40 ),
inference(sat_conversion,[],[f39488]) ).
cnf(s2862,plain,
( ~ spl0_264
| spl0_284
| spl0_419 ),
inference(sat_conversion,[],[f39492]) ).
cnf(s2864,plain,
( ~ spl0_38
| ~ spl0_147
| ~ spl0_264
| spl0_284
| ~ spl0_285 ),
inference(sat_conversion,[],[f39494]) ).
cnf(s2866,plain,
( ~ spl0_36
| ~ spl0_82
| spl0_284
| ~ spl0_416 ),
inference(sat_conversion,[],[f39496]) ).
cnf(s2875,plain,
( ~ spl0_17
| ~ spl0_68
| ~ spl0_89
| spl0_95 ),
inference(sat_conversion,[],[f39577]) ).
cnf(s2876,plain,
( ~ spl0_2
| ~ spl0_17
| ~ spl0_89
| spl0_95
| spl0_195 ),
inference(sat_conversion,[],[f39578]) ).
cnf(s2881,plain,
( ~ spl0_2
| ~ spl0_68
| spl0_141
| ~ spl0_162
| spl0_359 ),
inference(sat_conversion,[],[f39660]) ).
cnf(s2882,plain,
( ~ spl0_278
| ~ spl0_307
| spl0_331 ),
inference(sat_conversion,[],[f39687]) ).
cnf(s2889,plain,
( ~ spl0_120
| ~ spl0_264
| ~ spl0_327 ),
inference(sat_conversion,[],[f39734]) ).
cnf(s2890,plain,
( ~ spl0_120
| ~ spl0_265
| ~ spl0_433 ),
inference(sat_conversion,[],[f39795]) ).
cnf(s2891,plain,
( spl0_110
| ~ spl0_265
| spl0_293 ),
inference(sat_conversion,[],[f39796]) ).
cnf(s2896,plain,
( spl0_30
| ~ spl0_122 ),
inference(sat_conversion,[],[f39861]) ).
cnf(s2898,plain,
( ~ spl0_13
| ~ spl0_111
| ~ spl0_145
| spl0_311 ),
inference(sat_conversion,[],[f39925]) ).
cnf(s2899,plain,
( ~ spl0_264
| ~ spl0_265
| spl0_293
| ~ spl0_344 ),
inference(sat_conversion,[],[f40019]) ).
cnf(s2900,plain,
( ~ spl0_264
| ~ spl0_265
| spl0_284
| ~ spl0_285 ),
inference(sat_conversion,[],[f40021]) ).
cnf(s2901,plain,
( spl0_313
| ~ spl0_359 ),
inference(sat_conversion,[],[f40023]) ).
cnf(s2907,plain,
( ~ spl0_54
| spl0_72
| ~ spl0_200 ),
inference(sat_conversion,[],[f40030]) ).
cnf(s2910,plain,
( spl0_267
| ~ spl0_282
| spl0_406 ),
inference(sat_conversion,[],[f40033]) ).
cnf(s2913,plain,
( spl0_144
| ~ spl0_265
| spl0_303 ),
inference(sat_conversion,[],[f40037]) ).
cnf(s2915,plain,
( spl0_21
| ~ spl0_54
| ~ spl0_165
| spl0_195 ),
inference(sat_conversion,[],[f40039]) ).
cnf(s2919,plain,
( ~ spl0_22
| spl0_313
| spl0_358
| ~ spl0_422 ),
inference(sat_conversion,[],[f40044]) ).
cnf(s2932,plain,
( ~ spl0_8
| spl0_136
| spl0_309 ),
inference(sat_conversion,[],[f40110]) ).
cnf(s2933,plain,
( ~ spl0_8
| ~ spl0_72
| spl0_309
| ~ spl0_369 ),
inference(sat_conversion,[],[f40111]) ).
cnf(s2937,plain,
( ~ spl0_70
| ~ spl0_84
| spl0_275
| ~ spl0_373 ),
inference(sat_conversion,[],[f40115]) ).
cnf(s2945,plain,
( ~ spl0_8
| spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f40182]) ).
cnf(s2965,plain,
( ~ spl0_36
| spl0_313
| ~ spl0_436 ),
inference(sat_conversion,[],[f40363]) ).
cnf(s2974,plain,
( ~ spl0_134
| spl0_267
| ~ spl0_269
| ~ spl0_280 ),
inference(sat_conversion,[],[f40477]) ).
cnf(s2975,plain,
( ~ spl0_198
| spl0_267
| spl0_278
| spl0_426 ),
inference(sat_conversion,[],[f40478]) ).
cnf(s2976,plain,
( spl0_72
| spl0_267
| spl0_289 ),
inference(sat_conversion,[],[f40479]) ).
cnf(s2978,plain,
( ~ spl0_89
| ~ spl0_111
| ~ spl0_192
| ~ spl0_275
| ~ spl0_309 ),
inference(sat_conversion,[],[f40481]) ).
cnf(s2980,plain,
( ~ spl0_13
| ~ spl0_17
| spl0_95
| ~ spl0_294 ),
inference(sat_conversion,[],[f40483]) ).
cnf(s2981,plain,
( ~ spl0_83
| ~ spl0_119
| ~ spl0_198
| spl0_267
| spl0_278 ),
inference(sat_conversion,[],[f40484]) ).
cnf(s2982,plain,
( spl0_313
| ~ spl0_370 ),
inference(sat_conversion,[],[f40500]) ).
cnf(s2983,plain,
( ~ spl0_369
| ~ spl0_370 ),
inference(sat_conversion,[],[f40504]) ).
cnf(s2995,plain,
( ~ spl0_95
| ~ spl0_284
| ~ spl0_307 ),
inference(sat_conversion,[],[f40561]) ).
cnf(s2996,plain,
( ~ spl0_145
| ~ spl0_294
| spl0_308
| ~ spl0_309 ),
inference(sat_conversion,[],[f40562]) ).
cnf(s3010,plain,
( ~ spl0_89
| ~ spl0_192
| ~ spl0_267
| ~ spl0_288
| ~ spl0_303 ),
inference(sat_conversion,[],[f40748]) ).
cnf(s3011,plain,
( ~ spl0_83
| ~ spl0_119
| spl0_145
| ~ spl0_198
| spl0_275 ),
inference(sat_conversion,[],[f40749]) ).
cnf(s3012,plain,
( spl0_145
| ~ spl0_198
| spl0_275
| spl0_441 ),
inference(sat_conversion,[],[f40753]) ).
cnf(s3013,plain,
( ~ spl0_58
| ~ spl0_68
| spl0_141
| ~ spl0_294 ),
inference(sat_conversion,[],[f40754]) ).
cnf(s3014,plain,
( spl0_68
| spl0_144
| spl0_275 ),
inference(sat_conversion,[],[f40755]) ).
cnf(s3028,plain,
( ~ spl0_83
| spl0_145
| ~ spl0_365 ),
inference(sat_conversion,[],[f40932]) ).
cnf(s3034,plain,
( ~ spl0_140
| spl0_275
| ~ spl0_344 ),
inference(sat_conversion,[],[f41382]) ).
cnf(s3035,plain,
( spl0_136
| ~ spl0_346
| spl0_412 ),
inference(sat_conversion,[],[f41415]) ).
cnf(s3036,plain,
( spl0_313
| ~ spl0_346
| spl0_355 ),
inference(sat_conversion,[],[f41416]) ).
cnf(s3037,plain,
( ~ spl0_94
| ~ spl0_271
| spl0_283
| spl0_284 ),
inference(sat_conversion,[],[f41560]) ).
cnf(s3042,plain,
( spl0_136
| ~ spl0_176
| spl0_313 ),
inference(sat_conversion,[],[f41802]) ).
cnf(s3047,plain,
( ~ spl0_40
| spl0_154 ),
inference(sat_conversion,[],[f41998]) ).
cnf(s3048,plain,
( ~ spl0_9
| spl0_136
| spl0_145 ),
inference(sat_conversion,[],[f42024]) ).
cnf(s3050,plain,
( spl0_58
| spl0_275
| spl0_396 ),
inference(sat_conversion,[],[f42030]) ).
cnf(s3052,plain,
( ~ spl0_19
| ~ spl0_70
| spl0_111
| spl0_275
| spl0_365 ),
inference(sat_conversion,[],[f42032]) ).
cnf(s3054,plain,
( ~ spl0_70
| ~ spl0_75
| spl0_80 ),
inference(sat_conversion,[],[f42034]) ).
cnf(s3055,plain,
( spl0_61
| spl0_146
| spl0_275 ),
inference(sat_conversion,[],[f42035]) ).
cnf(s3056,plain,
( spl0_91
| spl0_148
| spl0_275 ),
inference(sat_conversion,[],[f42037]) ).
cnf(s3057,plain,
( spl0_87
| spl0_136
| spl0_275 ),
inference(sat_conversion,[],[f42039]) ).
cnf(s3060,plain,
( spl0_195
| spl0_275
| spl0_415 ),
inference(sat_conversion,[],[f42042]) ).
cnf(s3062,plain,
( spl0_72
| spl0_110
| spl0_275 ),
inference(sat_conversion,[],[f42045]) ).
cnf(s3063,plain,
( ~ spl0_36
| ~ spl0_94
| spl0_111
| ~ spl0_441 ),
inference(sat_conversion,[],[f42046]) ).
cnf(s3064,plain,
( spl0_21
| ~ spl0_54
| spl0_72
| ~ spl0_174 ),
inference(sat_conversion,[],[f42048]) ).
cnf(s3066,plain,
( ~ spl0_70
| ~ spl0_75
| spl0_275
| spl0_365 ),
inference(sat_conversion,[],[f42051]) ).
cnf(s3069,plain,
( ~ spl0_286
| spl0_295
| spl0_313
| ~ spl0_385
| spl0_391 ),
inference(sat_conversion,[],[f42056]) ).
cnf(s3070,plain,
( ~ spl0_2
| ~ spl0_68
| spl0_141
| ~ spl0_286
| spl0_313 ),
inference(sat_conversion,[],[f42057]) ).
cnf(s3071,plain,
( spl0_61
| ~ spl0_82
| spl0_113
| ~ spl0_166 ),
inference(sat_conversion,[],[f42058]) ).
cnf(s3072,plain,
( spl0_68
| ~ spl0_84
| ~ spl0_166
| spl0_225 ),
inference(sat_conversion,[],[f42059]) ).
cnf(s3074,plain,
( ~ spl0_38
| ~ spl0_82
| ~ spl0_94
| spl0_148
| spl0_275 ),
inference(sat_conversion,[],[f42061]) ).
cnf(s3075,plain,
( spl0_89
| spl0_117
| spl0_275 ),
inference(sat_conversion,[],[f42062]) ).
cnf(s3079,plain,
( ~ spl0_36
| spl0_89
| ~ spl0_174
| spl0_243 ),
inference(sat_conversion,[],[f42068]) ).
cnf(s3098,plain,
( ~ spl0_147
| spl0_275
| ~ spl0_425 ),
inference(sat_conversion,[],[f42238]) ).
cnf(s3102,plain,
( ~ spl0_166
| spl0_267
| spl0_283
| spl0_362 ),
inference(sat_conversion,[],[f42311]) ).
cnf(s3108,plain,
( ~ spl0_166
| spl0_275
| spl0_286
| spl0_354 ),
inference(sat_conversion,[],[f42352]) ).
cnf(s3109,plain,
( spl0_161
| spl0_275
| spl0_286 ),
inference(sat_conversion,[],[f42353]) ).
cnf(s3110,plain,
( ~ spl0_23
| ~ spl0_48
| spl0_278
| ~ spl0_437 ),
inference(sat_conversion,[],[f42354]) ).
cnf(s3117,plain,
( spl0_68
| spl0_267
| spl0_395 ),
inference(sat_conversion,[],[f42361]) ).
cnf(s3118,plain,
( ~ spl0_18
| spl0_61
| spl0_267
| spl0_416 ),
inference(sat_conversion,[],[f42362]) ).
cnf(s3120,plain,
( spl0_111
| spl0_208
| spl0_286 ),
inference(sat_conversion,[],[f42482]) ).
cnf(s3121,plain,
( ~ spl0_166
| spl0_275
| spl0_286
| spl0_354 ),
inference(sat_conversion,[],[f42483]) ).
cnf(s3127,plain,
( ~ spl0_266
| ~ spl0_288
| spl0_376 ),
inference(sat_conversion,[],[f42509]) ).
cnf(s3132,plain,
( ~ spl0_60
| ~ spl0_264
| spl0_275
| spl0_291 ),
inference(sat_conversion,[],[f42601]) ).
cnf(s3140,plain,
( ~ spl0_161
| ~ spl0_264
| spl0_267
| spl0_275 ),
inference(sat_conversion,[],[f42731]) ).
cnf(s3142,plain,
( ~ spl0_18
| spl0_111
| ~ spl0_264
| spl0_273 ),
inference(sat_conversion,[],[f42734]) ).
cnf(s3144,plain,
( ~ spl0_70
| ~ spl0_94
| ~ spl0_130
| spl0_286 ),
inference(sat_conversion,[],[f42737]) ).
cnf(s3146,plain,
( spl0_148
| ~ spl0_264
| spl0_282 ),
inference(sat_conversion,[],[f42739]) ).
cnf(s3148,plain,
( ~ spl0_264
| spl0_313
| spl0_414 ),
inference(sat_conversion,[],[f42741]) ).
cnf(s3149,plain,
( spl0_195
| spl0_267
| spl0_414 ),
inference(sat_conversion,[],[f42742]) ).
cnf(s3152,plain,
( spl0_111
| ~ spl0_264
| spl0_271 ),
inference(sat_conversion,[],[f42744]) ).
cnf(s3160,plain,
( ~ spl0_60
| ~ spl0_265
| spl0_267
| spl0_291 ),
inference(sat_conversion,[],[f42825]) ).
cnf(s3163,plain,
( ~ spl0_7
| ~ spl0_23
| spl0_30
| ~ spl0_36 ),
inference(sat_conversion,[],[f43199]) ).
cnf(s3164,plain,
( spl0_25
| ~ spl0_36
| ~ spl0_48
| ~ spl0_177 ),
inference(sat_conversion,[],[f43226]) ).
cnf(s3171,plain,
( ~ spl0_147
| ~ spl0_265
| spl0_275
| ~ spl0_335 ),
inference(sat_conversion,[],[f43421]) ).
cnf(s3177,plain,
( ~ spl0_36
| spl0_47
| ~ spl0_48
| ~ spl0_198 ),
inference(sat_conversion,[],[f43716]) ).
cnf(s3180,plain,
( ~ spl0_2
| ~ spl0_17
| spl0_95
| ~ spl0_284
| spl0_307 ),
inference(sat_conversion,[],[f43763]) ).
cnf(s3181,plain,
( ~ spl0_70
| ~ spl0_119
| spl0_283
| ~ spl0_409 ),
inference(sat_conversion,[],[f43764]) ).
cnf(s3182,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_29
| ~ spl0_72
| spl0_195 ),
inference(sat_conversion,[],[f43765]) ).
cnf(s3183,plain,
( ~ spl0_23
| ~ spl0_54
| spl0_145
| ~ spl0_403 ),
inference(sat_conversion,[],[f43766]) ).
cnf(s3184,plain,
( spl0_58
| ~ spl0_198
| spl0_305 ),
inference(sat_conversion,[],[f43767]) ).
cnf(s3186,plain,
( ~ spl0_22
| ~ spl0_84
| spl0_313
| ~ spl0_412 ),
inference(sat_conversion,[],[f43769]) ).
cnf(s3187,plain,
( spl0_13
| ~ spl0_198
| spl0_357 ),
inference(sat_conversion,[],[f43770]) ).
cnf(s3188,plain,
( ~ spl0_54
| ~ spl0_70
| spl0_145
| ~ spl0_441 ),
inference(sat_conversion,[],[f43771]) ).
cnf(s3189,plain,
( ~ spl0_14
| spl0_61
| ~ spl0_120
| ~ spl0_147
| spl0_275 ),
inference(sat_conversion,[],[f43773]) ).
cnf(s3191,plain,
( spl0_174
| spl0_275
| spl0_313 ),
inference(sat_conversion,[],[f43775]) ).
cnf(s3192,plain,
( ~ spl0_36
| ~ spl0_144
| spl0_148
| spl0_436 ),
inference(sat_conversion,[],[f43776]) ).
cnf(s3196,plain,
( ~ spl0_48
| ~ spl0_291
| spl0_293
| ~ spl0_344 ),
inference(sat_conversion,[],[f43780]) ).
cnf(s3197,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_29
| ~ spl0_136
| spl0_313 ),
inference(sat_conversion,[],[f43781]) ).
cnf(s3203,plain,
( spl0_17
| ~ spl0_38
| spl0_99 ),
inference(sat_conversion,[],[f43795]) ).
cnf(s3204,plain,
( ~ spl0_17
| spl0_95
| ~ spl0_284
| ~ spl0_303 ),
inference(sat_conversion,[],[f43796]) ).
cnf(s3207,plain,
( ~ spl0_94
| ~ spl0_146
| spl0_286
| spl0_354 ),
inference(sat_conversion,[],[f43801]) ).
cnf(s3209,plain,
( ~ spl0_119
| spl0_267
| spl0_275
| ~ spl0_279 ),
inference(sat_conversion,[],[f43803]) ).
cnf(s3210,plain,
( ~ spl0_4
| ~ spl0_119
| spl0_195
| spl0_275
| spl0_313 ),
inference(sat_conversion,[],[f43804]) ).
cnf(s3212,plain,
( ~ spl0_4
| spl0_29
| spl0_68
| ~ spl0_150
| ~ spl0_181
| spl0_393 ),
inference(sat_conversion,[],[f43806]) ).
cnf(s3219,plain,
( ~ spl0_119
| ~ spl0_144
| spl0_286
| spl0_354 ),
inference(sat_conversion,[],[f43998]) ).
cnf(s3221,plain,
( spl0_163
| spl0_286
| spl0_309 ),
inference(sat_conversion,[],[f44003]) ).
cnf(s3226,plain,
( ~ spl0_22
| ~ spl0_149
| spl0_309 ),
inference(sat_conversion,[],[f44061]) ).
cnf(s3227,plain,
( spl0_145
| spl0_171
| spl0_286 ),
inference(sat_conversion,[],[f44062]) ).
cnf(s3228,plain,
( spl0_275
| ~ spl0_285
| ~ spl0_431 ),
inference(sat_conversion,[],[f44104]) ).
cnf(s3229,plain,
( ~ spl0_82
| spl0_148
| ~ spl0_161
| spl0_275 ),
inference(sat_conversion,[],[f44234]) ).
cnf(s3230,plain,
( ~ spl0_84
| spl0_286
| ~ spl0_397 ),
inference(sat_conversion,[],[f44235]) ).
cnf(s3231,plain,
( ~ spl0_17
| ~ spl0_61
| ~ spl0_68
| ~ spl0_192 ),
inference(sat_conversion,[],[f44236]) ).
cnf(s3233,plain,
( spl0_286
| ~ spl0_396
| spl0_412 ),
inference(sat_conversion,[],[f44239]) ).
cnf(s3234,plain,
( spl0_20
| spl0_21
| ~ spl0_54
| ~ spl0_204 ),
inference(sat_conversion,[],[f44241]) ).
cnf(s3235,plain,
( spl0_111
| spl0_403
| ~ spl0_415 ),
inference(sat_conversion,[],[f44242]) ).
cnf(s3238,plain,
( ~ spl0_22
| ~ spl0_50
| ~ spl0_130
| spl0_313 ),
inference(sat_conversion,[],[f44246]) ).
cnf(s3240,plain,
( ~ spl0_50
| spl0_148
| ~ spl0_397 ),
inference(sat_conversion,[],[f44250]) ).
cnf(s3244,plain,
( spl0_28
| spl0_82
| spl0_89 ),
inference(sat_conversion,[],[f44295]) ).
cnf(s3247,plain,
( spl0_111
| spl0_147
| spl0_295 ),
inference(sat_conversion,[],[f44346]) ).
cnf(s3251,plain,
( spl0_276
| spl0_286
| spl0_296 ),
inference(sat_conversion,[],[f44377]) ).
cnf(s3256,plain,
( spl0_58
| spl0_267
| spl0_270 ),
inference(sat_conversion,[],[f44454]) ).
cnf(s3260,plain,
( ~ spl0_17
| ~ spl0_89
| spl0_164
| ~ spl0_195 ),
inference(sat_conversion,[],[f44717]) ).
cnf(s3263,plain,
( ~ spl0_83
| ~ spl0_119
| spl0_136
| ~ spl0_177
| spl0_275 ),
inference(sat_conversion,[],[f44721]) ).
cnf(s3265,plain,
( ~ spl0_83
| ~ spl0_94
| spl0_267
| ~ spl0_439 ),
inference(sat_conversion,[],[f44723]) ).
cnf(s3266,plain,
( spl0_29
| ~ spl0_150
| ~ spl0_181
| ~ spl0_195 ),
inference(sat_conversion,[],[f44724]) ).
cnf(s3267,plain,
( ~ spl0_70
| ~ spl0_94
| spl0_283
| ~ spl0_325 ),
inference(sat_conversion,[],[f44725]) ).
cnf(s3268,plain,
( spl0_136
| ~ spl0_177
| ~ spl0_265
| ~ spl0_349
| ~ spl0_401 ),
inference(sat_conversion,[],[f44726]) ).
cnf(s3271,plain,
( ~ spl0_48
| ~ spl0_83
| spl0_136
| ~ spl0_353 ),
inference(sat_conversion,[],[f44729]) ).
cnf(s3273,plain,
( ~ spl0_83
| spl0_86
| ~ spl0_119
| ~ spl0_177 ),
inference(sat_conversion,[],[f44731]) ).
cnf(s3274,plain,
( ~ spl0_265
| spl0_278
| spl0_396 ),
inference(sat_conversion,[],[f44732]) ).
cnf(s3275,plain,
( ~ spl0_265
| spl0_267
| spl0_346 ),
inference(sat_conversion,[],[f44733]) ).
cnf(s3281,plain,
( ~ spl0_29
| ~ spl0_293
| ~ spl0_370 ),
inference(sat_conversion,[],[f44782]) ).
cnf(s3282,plain,
( ~ spl0_265
| spl0_307
| spl0_415 ),
inference(sat_conversion,[],[f44783]) ).
cnf(s3283,plain,
( ~ spl0_50
| ~ spl0_84
| spl0_313
| ~ spl0_353 ),
inference(sat_conversion,[],[f44784]) ).
cnf(s3287,plain,
( ~ spl0_4
| ~ spl0_265
| spl0_307
| spl0_313
| ~ spl0_349 ),
inference(sat_conversion,[],[f44789]) ).
cnf(s3290,plain,
( ~ spl0_89
| ~ spl0_267
| ~ spl0_301 ),
inference(sat_conversion,[],[f44897]) ).
cnf(s3296,plain,
( ~ spl0_10
| ~ spl0_23
| spl0_30 ),
inference(sat_conversion,[],[f44967]) ).
cnf(s3299,plain,
( ~ spl0_83
| ~ spl0_119
| spl0_145
| spl0_275
| ~ spl0_415 ),
inference(sat_conversion,[],[f45144]) ).
cnf(s3302,plain,
( ~ spl0_50
| ~ spl0_54
| spl0_303
| ~ spl0_439 ),
inference(sat_conversion,[],[f45149]) ).
cnf(s3309,plain,
( ~ spl0_23
| spl0_30
| ~ spl0_54
| ~ spl0_357 ),
inference(sat_conversion,[],[f45228]) ).
cnf(s3310,plain,
( ~ spl0_23
| spl0_47
| ~ spl0_54
| ~ spl0_193 ),
inference(sat_conversion,[],[f45353]) ).
cnf(s3313,plain,
( ~ spl0_263
| ~ spl0_284
| spl0_376 ),
inference(sat_conversion,[],[f45443]) ).
cnf(s3320,plain,
( spl0_62
| spl0_68
| spl0_72
| ~ spl0_246 ),
inference(sat_conversion,[],[f45633]) ).
cnf(s3322,plain,
( spl0_68
| spl0_72
| ~ spl0_247 ),
inference(sat_conversion,[],[f45708]) ).
cnf(s3325,plain,
( ~ spl0_8
| spl0_68
| spl0_72 ),
inference(sat_conversion,[],[f45785]) ).
cnf(s3333,plain,
( ~ spl0_89
| spl0_192
| ~ spl0_195
| ~ spl0_383 ),
inference(sat_conversion,[],[f46093]) ).
cnf(s3335,plain,
( ~ spl0_263
| ~ spl0_266
| ~ spl0_313
| ~ spl0_383 ),
inference(sat_conversion,[],[f46097]) ).
cnf(s3340,plain,
( spl0_62
| spl0_145
| spl0_148
| ~ spl0_235 ),
inference(sat_conversion,[],[f46331]) ).
cnf(s3342,plain,
( ~ spl0_54
| spl0_313
| ~ spl0_364 ),
inference(sat_conversion,[],[f46336]) ).
cnf(s3344,plain,
( ~ spl0_82
| spl0_111
| ~ spl0_119
| ~ spl0_193
| spl0_275 ),
inference(sat_conversion,[],[f46341]) ).
cnf(s3345,plain,
( ~ spl0_16
| spl0_61
| spl0_275
| spl0_412 ),
inference(sat_conversion,[],[f46342]) ).
cnf(s3346,plain,
( ~ spl0_91
| spl0_115
| ~ spl0_147
| spl0_275 ),
inference(sat_conversion,[],[f46343]) ).
cnf(s3347,plain,
( ~ spl0_10
| spl0_58
| ~ spl0_135
| spl0_275 ),
inference(sat_conversion,[],[f46344]) ).
cnf(s3348,plain,
( ~ spl0_58
| ~ spl0_68
| ~ spl0_286
| ~ spl0_318 ),
inference(sat_conversion,[],[f46345]) ).
cnf(s3349,plain,
( ~ spl0_54
| ~ spl0_135
| spl0_278
| ~ spl0_279 ),
inference(sat_conversion,[],[f46346]) ).
cnf(s3350,plain,
( spl0_13
| ~ spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f46347]) ).
cnf(s3352,plain,
( ~ spl0_89
| spl0_164
| ~ spl0_267
| ~ spl0_284 ),
inference(sat_conversion,[],[f46350]) ).
cnf(s3353,plain,
( spl0_111
| ~ spl0_347
| spl0_400 ),
inference(sat_conversion,[],[f46352]) ).
cnf(s3360,plain,
( ~ spl0_5
| spl0_58
| spl0_275
| spl0_355 ),
inference(sat_conversion,[],[f46362]) ).
cnf(s3361,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_20
| spl0_29 ),
inference(sat_conversion,[],[f46363]) ).
cnf(s3364,plain,
( ~ spl0_82
| ~ spl0_119
| spl0_148
| spl0_275
| ~ spl0_357 ),
inference(sat_conversion,[],[f46373]) ).
cnf(s3365,plain,
( ~ spl0_38
| ~ spl0_82
| ~ spl0_94
| spl0_148
| spl0_275 ),
inference(sat_conversion,[],[f46380]) ).
cnf(s3375,plain,
( ~ spl0_54
| spl0_136
| ~ spl0_144
| spl0_364 ),
inference(sat_conversion,[],[f46392]) ).
cnf(s3381,plain,
( spl0_135
| spl0_145
| spl0_290 ),
inference(sat_conversion,[],[f46459]) ).
cnf(s3385,plain,
( spl0_141
| ~ spl0_195
| ~ spl0_267
| ~ spl0_307 ),
inference(sat_conversion,[],[f46495]) ).
cnf(s3386,plain,
( ~ spl0_2
| ~ spl0_286
| spl0_313
| spl0_368 ),
inference(sat_conversion,[],[f46597]) ).
cnf(s3394,plain,
( spl0_58
| spl0_62
| spl0_88
| spl0_89
| ~ spl0_237 ),
inference(sat_conversion,[],[f47271]) ).
cnf(s3400,plain,
( spl0_275
| spl0_296
| spl0_313
| ~ spl0_393 ),
inference(sat_conversion,[],[f47349]) ).
cnf(s3401,plain,
( spl0_88
| spl0_89
| spl0_192
| ~ spl0_393 ),
inference(sat_conversion,[],[f47351]) ).
cnf(s3411,plain,
( ~ spl0_170
| spl0_187 ),
inference(sat_conversion,[],[f47620]) ).
cnf(s3424,plain,
( spl0_290
| spl0_308
| ~ spl0_309
| spl0_313
| ~ spl0_380 ),
inference(sat_conversion,[],[f48237]) ).
cnf(s3433,plain,
( ~ spl0_61
| ~ spl0_187
| spl0_278
| ~ spl0_284
| ~ spl0_288
| spl0_360 ),
inference(sat_conversion,[],[f48399]) ).
cnf(s3434,plain,
( ~ spl0_187
| ~ spl0_263
| spl0_278
| ~ spl0_286
| spl0_306
| spl0_360 ),
inference(sat_conversion,[],[f48400]) ).
cnf(s3436,plain,
( ~ spl0_187
| ~ spl0_263
| ~ spl0_266
| spl0_278
| ~ spl0_286
| spl0_360 ),
inference(sat_conversion,[],[f48405]) ).
cnf(s3437,plain,
( ~ spl0_61
| ~ spl0_187
| spl0_278
| ~ spl0_286
| spl0_360
| ~ spl0_376 ),
inference(sat_conversion,[],[f48406]) ).
cnf(s3468,plain,
~ spl0_360,
inference(sat_conversion,[],[f48778]) ).
cnf(s3480,plain,
( ~ spl0_9
| ~ spl0_44
| spl0_278
| ~ spl0_284 ),
inference(sat_conversion,[],[f48990]) ).
cnf(s3482,plain,
( ~ spl0_9
| ~ spl0_181
| ~ spl0_307
| spl0_331 ),
inference(sat_conversion,[],[f48992]) ).
cnf(s3487,plain,
( ~ spl0_9
| spl0_278
| spl0_293 ),
inference(sat_conversion,[],[f49005]) ).
cnf(s3496,plain,
( ~ spl0_54
| ~ spl0_83
| spl0_136
| ~ spl0_355 ),
inference(sat_conversion,[],[f49023]) ).
cnf(s3498,plain,
( ~ spl0_20
| spl0_44
| ~ spl0_61
| ~ spl0_72 ),
inference(sat_conversion,[],[f49025]) ).
cnf(s3499,plain,
( ~ spl0_61
| ~ spl0_267
| ~ spl0_288
| spl0_301 ),
inference(sat_conversion,[],[f49028]) ).
cnf(s3501,plain,
( ~ spl0_68
| spl0_141
| ~ spl0_286
| ~ spl0_309 ),
inference(sat_conversion,[],[f49030]) ).
cnf(s3502,plain,
( ~ spl0_87
| ~ spl0_135
| spl0_149
| spl0_275 ),
inference(sat_conversion,[],[f49032]) ).
cnf(s3503,plain,
( ~ spl0_48
| ~ spl0_83
| spl0_293
| ~ spl0_335 ),
inference(sat_conversion,[],[f49034]) ).
cnf(s3507,plain,
( ~ spl0_20
| spl0_44
| ~ spl0_49
| spl0_68
| ~ spl0_72 ),
inference(sat_conversion,[],[f49044]) ).
cnf(s3509,plain,
( ~ spl0_17
| ~ spl0_61
| ~ spl0_68
| spl0_141 ),
inference(sat_conversion,[],[f49047]) ).
cnf(s3515,plain,
( ~ spl0_58
| spl0_143
| ~ spl0_152
| ~ spl0_286 ),
inference(sat_conversion,[],[f49059]) ).
cnf(s3516,plain,
( ~ spl0_49
| spl0_68
| spl0_95
| ~ spl0_192
| ~ spl0_195 ),
inference(sat_conversion,[],[f49060]) ).
cnf(s3517,plain,
( ~ spl0_61
| spl0_95
| ~ spl0_192
| ~ spl0_195 ),
inference(sat_conversion,[],[f49061]) ).
cnf(s3521,plain,
( ~ spl0_22
| ~ spl0_26
| spl0_192
| spl0_358 ),
inference(sat_conversion,[],[f49065]) ).
cnf(s3524,plain,
( ~ spl0_72
| spl0_141
| ~ spl0_181
| ~ spl0_195 ),
inference(sat_conversion,[],[f49068]) ).
cnf(s3525,plain,
( ~ spl0_49
| spl0_68
| ~ spl0_267
| ~ spl0_288
| spl0_301 ),
inference(sat_conversion,[],[f49071]) ).
cnf(s3526,plain,
( ~ spl0_6
| ~ spl0_72
| spl0_143
| ~ spl0_195 ),
inference(sat_conversion,[],[f49076]) ).
cnf(s3527,plain,
( ~ spl0_4
| spl0_68
| ~ spl0_72
| spl0_141
| ~ spl0_181
| spl0_393 ),
inference(sat_conversion,[],[f49078]) ).
cnf(s3535,plain,
( ~ spl0_70
| ~ spl0_83
| spl0_275
| ~ spl0_413 ),
inference(sat_conversion,[],[f49097]) ).
cnf(s3538,plain,
( ~ spl0_103
| ~ spl0_136
| ~ spl0_263
| ~ spl0_266
| spl0_278
| spl0_307 ),
inference(sat_conversion,[],[f49102]) ).
cnf(s3546,plain,
( ~ spl0_72
| spl0_143
| ~ spl0_267
| ~ spl0_293 ),
inference(sat_conversion,[],[f49176]) ).
cnf(s3548,plain,
( ~ spl0_49
| spl0_288
| spl0_303 ),
inference(sat_conversion,[],[f49251]) ).
cnf(s3593,plain,
~ spl0_297,
inference(sat_conversion,[],[f49564]) ).
cnf(s3604,plain,
( ~ spl0_267
| ~ spl0_284
| spl0_455 ),
inference(sat_conversion,[],[f49845]) ).
cnf(s3621,plain,
( ~ spl0_1
| spl0_68
| ~ spl0_263
| ~ spl0_266
| ~ spl0_286
| spl0_303
| spl0_339 ),
inference(sat_conversion,[],[f50442]) ).
cnf(s3625,plain,
( ~ spl0_263
| ~ spl0_267
| ~ spl0_303
| ~ spl0_368 ),
inference(sat_conversion,[],[f50447]) ).
cnf(s3626,plain,
( ~ spl0_152
| ~ spl0_263
| ~ spl0_278
| spl0_315 ),
inference(sat_conversion,[],[f50449]) ).
cnf(s3629,plain,
( ~ spl0_145
| ~ spl0_263
| ~ spl0_267
| ~ spl0_278
| ~ spl0_286 ),
inference(sat_conversion,[],[f50460]) ).
cnf(s3634,plain,
( ~ spl0_22
| spl0_313
| ~ spl0_458 ),
inference(sat_conversion,[],[f50470]) ).
cnf(s3635,plain,
( ~ spl0_263
| ~ spl0_303
| spl0_304
| ~ spl0_309 ),
inference(sat_conversion,[],[f50472]) ).
cnf(s3638,plain,
( ~ spl0_1
| ~ spl0_61
| spl0_68
| ~ spl0_286
| spl0_303
| spl0_339
| ~ spl0_376 ),
inference(sat_conversion,[],[f50475]) ).
cnf(s3639,plain,
( ~ spl0_1
| spl0_68
| ~ spl0_263
| ~ spl0_286
| spl0_303
| spl0_306
| spl0_339 ),
inference(sat_conversion,[],[f50477]) ).
cnf(s3644,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_68
| spl0_143
| ~ spl0_195 ),
inference(sat_conversion,[],[f50483]) ).
cnf(s3645,plain,
( ~ spl0_9
| spl0_136
| ~ spl0_263
| ~ spl0_278
| spl0_315 ),
inference(sat_conversion,[],[f50484]) ).
cnf(s3646,plain,
( ~ spl0_4
| spl0_6
| spl0_181
| spl0_435 ),
inference(sat_conversion,[],[f50485]) ).
cnf(s3648,plain,
( ~ spl0_1
| spl0_6
| spl0_215 ),
inference(sat_conversion,[],[f50487]) ).
cnf(s3649,plain,
( ~ spl0_1
| spl0_6
| spl0_246 ),
inference(sat_conversion,[],[f50492]) ).
cnf(s3650,plain,
( ~ spl0_1
| spl0_6
| spl0_58
| spl0_62
| spl0_68 ),
inference(sat_conversion,[],[f50503]) ).
cnf(s3652,plain,
( ~ spl0_19
| ~ spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f50505]) ).
cnf(s3653,plain,
( spl0_21
| ~ spl0_43
| ~ spl0_54
| spl0_192 ),
inference(sat_conversion,[],[f50506]) ).
cnf(s3656,plain,
( ~ spl0_36
| ~ spl0_82
| spl0_148
| ~ spl0_355 ),
inference(sat_conversion,[],[f50509]) ).
cnf(s3658,plain,
( ~ spl0_23
| ~ spl0_36
| spl0_284
| ~ spl0_409 ),
inference(sat_conversion,[],[f50512]) ).
cnf(s3659,plain,
( ~ spl0_5
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f50513]) ).
cnf(s3663,plain,
( ~ spl0_23
| ~ spl0_36
| spl0_148
| ~ spl0_445 ),
inference(sat_conversion,[],[f50518]) ).
cnf(s3667,plain,
( spl0_13
| spl0_20
| ~ spl0_103
| spl0_192 ),
inference(sat_conversion,[],[f50523]) ).
cnf(s3672,plain,
( ~ spl0_9
| spl0_20
| spl0_29
| ~ spl0_181
| ~ spl0_192 ),
inference(sat_conversion,[],[f50542]) ).
cnf(s3673,plain,
( ~ spl0_2
| ~ spl0_293
| spl0_307
| spl0_331 ),
inference(sat_conversion,[],[f50563]) ).
cnf(s3674,plain,
( ~ spl0_111
| ~ spl0_286
| spl0_391 ),
inference(sat_conversion,[],[f50615]) ).
cnf(s3677,plain,
( ~ spl0_293
| ~ spl0_303
| spl0_331 ),
inference(sat_conversion,[],[f50625]) ).
cnf(s3688,plain,
( ~ spl0_5
| spl0_58
| spl0_267
| spl0_416 ),
inference(sat_conversion,[],[f50822]) ).
cnf(s3689,plain,
( ~ spl0_16
| spl0_61
| spl0_267
| spl0_326 ),
inference(sat_conversion,[],[f50823]) ).
cnf(s3692,plain,
( ~ spl0_264
| ~ spl0_352
| ~ spl0_397 ),
inference(sat_conversion,[],[f50917]) ).
cnf(s3694,plain,
( ~ spl0_64
| ~ spl0_264
| spl0_274
| spl0_275 ),
inference(sat_conversion,[],[f50920]) ).
cnf(s3698,plain,
( ~ spl0_141
| ~ spl0_162
| ~ spl0_265
| spl0_415 ),
inference(sat_conversion,[],[f50971]) ).
cnf(s3699,plain,
( ~ spl0_64
| ~ spl0_265
| spl0_267
| spl0_274 ),
inference(sat_conversion,[],[f50972]) ).
cnf(s3703,plain,
( spl0_17
| spl0_20
| spl0_28
| ~ spl0_246 ),
inference(sat_conversion,[],[f51344]) ).
cnf(s3707,plain,
( ~ spl0_24
| spl0_47
| ~ spl0_48 ),
inference(sat_conversion,[],[f51392]) ).
cnf(s3711,plain,
( ~ spl0_136
| ~ spl0_145
| spl0_457 ),
inference(sat_conversion,[],[f51577]) ).
cnf(s3712,plain,
( ~ spl0_14
| spl0_25
| ~ spl0_48
| ~ spl0_54 ),
inference(sat_conversion,[],[f51633]) ).
cnf(s3714,plain,
( ~ spl0_264
| ~ spl0_265
| spl0_268 ),
inference(sat_conversion,[],[f51852]) ).
cnf(s3715,plain,
( ~ spl0_264
| ~ spl0_265
| spl0_313
| spl0_397 ),
inference(sat_conversion,[],[f51854]) ).
cnf(s3717,plain,
( spl0_136
| ~ spl0_396
| spl0_458 ),
inference(sat_conversion,[],[f51856]) ).
cnf(s3718,plain,
( spl0_91
| spl0_267
| spl0_284 ),
inference(sat_conversion,[],[f51857]) ).
cnf(s3719,plain,
( spl0_275
| ~ spl0_415
| spl0_441 ),
inference(sat_conversion,[],[f51858]) ).
cnf(s3720,plain,
( ~ spl0_82
| ~ spl0_119
| spl0_275
| ~ spl0_403 ),
inference(sat_conversion,[],[f51859]) ).
cnf(s3724,plain,
( spl0_148
| ~ spl0_346
| spl0_353 ),
inference(sat_conversion,[],[f51863]) ).
cnf(s3725,plain,
( spl0_61
| spl0_267
| spl0_271 ),
inference(sat_conversion,[],[f51865]) ).
cnf(s3726,plain,
( ~ spl0_36
| spl0_89
| ~ spl0_174
| spl0_243 ),
inference(sat_conversion,[],[f51866]) ).
cnf(s3727,plain,
( ~ spl0_23
| ~ spl0_82
| spl0_284
| ~ spl0_326 ),
inference(sat_conversion,[],[f51867]) ).
cnf(s3729,plain,
( spl0_130
| spl0_148
| ~ spl0_396 ),
inference(sat_conversion,[],[f51870]) ).
cnf(s3730,plain,
( ~ spl0_36
| spl0_284
| ~ spl0_433 ),
inference(sat_conversion,[],[f51871]) ).
cnf(s3731,plain,
( ~ spl0_54
| ~ spl0_70
| spl0_278
| ~ spl0_426 ),
inference(sat_conversion,[],[f51872]) ).
cnf(s3732,plain,
( ~ spl0_270
| spl0_284
| spl0_325 ),
inference(sat_conversion,[],[f51873]) ).
cnf(s3734,plain,
( ~ spl0_23
| ~ spl0_82
| spl0_148
| ~ spl0_412 ),
inference(sat_conversion,[],[f51875]) ).
cnf(s3735,plain,
( spl0_89
| spl0_267
| spl0_282 ),
inference(sat_conversion,[],[f51876]) ).
cnf(s3736,plain,
( spl0_117
| ~ spl0_265
| spl0_284 ),
inference(sat_conversion,[],[f51877]) ).
cnf(s3737,plain,
( ~ spl0_19
| spl0_111
| ~ spl0_265
| ~ spl0_280
| spl0_351 ),
inference(sat_conversion,[],[f51878]) ).
cnf(s3738,plain,
( ~ spl0_61
| ~ spl0_162
| ~ spl0_376 ),
inference(sat_conversion,[],[f51879]) ).
cnf(s3739,plain,
( ~ spl0_2
| spl0_192
| ~ spl0_288
| ~ spl0_303
| spl0_304 ),
inference(sat_conversion,[],[f51880]) ).
cnf(s3740,plain,
( ~ spl0_265
| spl0_283
| spl0_347 ),
inference(sat_conversion,[],[f51881]) ).
cnf(s3742,plain,
( ~ spl0_70
| ~ spl0_119
| spl0_286
| ~ spl0_445 ),
inference(sat_conversion,[],[f51883]) ).
cnf(s3743,plain,
( ~ spl0_20
| ~ spl0_72
| ~ spl0_293
| ~ spl0_455 ),
inference(sat_conversion,[],[f51884]) ).
cnf(s3744,plain,
( ~ spl0_20
| ~ spl0_136
| ~ spl0_293
| ~ spl0_376 ),
inference(sat_conversion,[],[f51885]) ).
cnf(s3746,plain,
( spl0_146
| ~ spl0_265
| spl0_288 ),
inference(sat_conversion,[],[f51890]) ).
cnf(s3747,plain,
( ~ spl0_70
| ~ spl0_274
| ~ spl0_276
| spl0_283 ),
inference(sat_conversion,[],[f51891]) ).
cnf(s3750,plain,
( ~ spl0_22
| ~ spl0_84
| spl0_313
| ~ spl0_412 ),
inference(sat_conversion,[],[f51894]) ).
cnf(s3751,plain,
( ~ spl0_22
| ~ spl0_274
| spl0_307
| ~ spl0_356 ),
inference(sat_conversion,[],[f51896]) ).
cnf(s3754,plain,
( spl0_313
| ~ spl0_396
| spl0_445 ),
inference(sat_conversion,[],[f51900]) ).
cnf(s3763,plain,
( ~ spl0_13
| ~ spl0_148
| ~ spl0_457 ),
inference(sat_conversion,[],[f51997]) ).
cnf(s3765,plain,
( ~ spl0_22
| spl0_68
| ~ spl0_170 ),
inference(sat_conversion,[],[f52090]) ).
cnf(s3766,plain,
( ~ spl0_4
| spl0_68
| spl0_195
| spl0_393 ),
inference(sat_conversion,[],[f52093]) ).
cnf(s3767,plain,
( ~ spl0_48
| spl0_89
| ~ spl0_140 ),
inference(sat_conversion,[],[f52094]) ).
cnf(s3775,plain,
( ~ spl0_197
| spl0_230 ),
inference(sat_conversion,[],[f52142]) ).
cnf(s3777,plain,
( ~ spl0_50
| spl0_89
| ~ spl0_424 ),
inference(sat_conversion,[],[f52205]) ).
cnf(s3778,plain,
( ~ spl0_13
| spl0_44
| ~ spl0_148
| ~ spl0_152 ),
inference(sat_conversion,[],[f52206]) ).
cnf(s3779,plain,
( spl0_20
| ~ spl0_22
| ~ spl0_227 ),
inference(sat_conversion,[],[f52207]) ).
cnf(s3782,plain,
( spl0_269
| spl0_288
| spl0_297 ),
inference(sat_conversion,[],[f52271]) ).
cnf(s3791,plain,
( spl0_13
| spl0_28
| spl0_192
| ~ spl0_435 ),
inference(sat_conversion,[],[f52516]) ).
cnf(s3792,plain,
( spl0_58
| spl0_62
| spl0_195
| ~ spl0_435 ),
inference(sat_conversion,[],[f52518]) ).
cnf(s3797,plain,
( ~ spl0_23
| ~ spl0_50
| spl0_111
| ~ spl0_373 ),
inference(sat_conversion,[],[f52585]) ).
cnf(s3801,plain,
( ~ spl0_120
| ~ spl0_264
| ~ spl0_344
| ~ spl0_418 ),
inference(sat_conversion,[],[f52634]) ).
cnf(s3806,plain,
( ~ spl0_147
| ~ spl0_264
| ~ spl0_344
| ~ spl0_439 ),
inference(sat_conversion,[],[f52758]) ).
cnf(s3807,plain,
( ~ spl0_120
| ~ spl0_177
| ~ spl0_264
| ~ spl0_266
| ~ spl0_311
| ~ spl0_344 ),
inference(sat_conversion,[],[f52782]) ).
cnf(s3808,plain,
( ~ spl0_24
| spl0_49
| ~ spl0_50 ),
inference(sat_conversion,[],[f52832]) ).
cnf(s3809,plain,
( ~ spl0_32
| ~ spl0_50
| spl0_203 ),
inference(sat_conversion,[],[f52853]) ).
cnf(s3814,plain,
( ~ spl0_303
| ~ spl0_307
| spl0_454 ),
inference(sat_conversion,[],[f53226]) ).
cnf(s3817,plain,
( ~ spl0_1
| spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f53542]) ).
cnf(s3818,plain,
( ~ spl0_1
| spl0_17
| spl0_49 ),
inference(sat_conversion,[],[f53543]) ).
cnf(s3819,plain,
( ~ spl0_227
| spl0_385 ),
inference(sat_conversion,[],[f53552]) ).
cnf(s3820,plain,
( spl0_72
| ~ spl0_176
| spl0_195 ),
inference(sat_conversion,[],[f53684]) ).
cnf(s3823,plain,
( spl0_13
| spl0_17
| ~ spl0_215 ),
inference(sat_conversion,[],[f53760]) ).
cnf(s3825,plain,
( ~ spl0_1
| spl0_309
| spl0_323 ),
inference(sat_conversion,[],[f53809]) ).
cnf(s3833,plain,
( ~ spl0_197
| spl0_468 ),
inference(sat_conversion,[],[f53830]) ).
cnf(s3834,plain,
( ~ spl0_1
| spl0_17
| spl0_468 ),
inference(sat_conversion,[],[f53831]) ).
cnf(s3835,plain,
( spl0_111
| spl0_295
| spl0_309
| ~ spl0_468 ),
inference(sat_conversion,[],[f53875]) ).
cnf(s3836,plain,
( spl0_295
| spl0_309
| ~ spl0_313
| spl0_316
| ~ spl0_468 ),
inference(sat_conversion,[],[f53876]) ).
cnf(s3839,plain,
( ~ spl0_61
| spl0_295
| ~ spl0_306
| spl0_309
| ~ spl0_468 ),
inference(sat_conversion,[],[f53882]) ).
cnf(s3840,plain,
( ~ spl0_20
| spl0_295
| spl0_309
| ~ spl0_311
| ~ spl0_468 ),
inference(sat_conversion,[],[f53883]) ).
cnf(s3841,plain,
( ~ spl0_266
| ~ spl0_267
| ~ spl0_275
| spl0_306 ),
inference(sat_conversion,[],[f53884]) ).
cnf(s3846,plain,
( ~ spl0_192
| ~ spl0_307
| ~ spl0_313
| ~ spl0_376 ),
inference(sat_conversion,[],[f53890]) ).
cnf(s3847,plain,
( ~ spl0_266
| ~ spl0_309
| ~ spl0_454 ),
inference(sat_conversion,[],[f53894]) ).
cnf(s3849,plain,
( ~ spl0_8
| ~ spl0_72
| spl0_143
| ~ spl0_267
| spl0_303 ),
inference(sat_conversion,[],[f53896]) ).
cnf(s3850,plain,
( ~ spl0_36
| ~ spl0_273
| spl0_284
| ~ spl0_285 ),
inference(sat_conversion,[],[f53898]) ).
cnf(s3852,plain,
( ~ spl0_84
| spl0_313
| ~ spl0_417
| spl0_424 ),
inference(sat_conversion,[],[f53900]) ).
cnf(s3853,plain,
( ~ spl0_83
| spl0_136
| spl0_140
| ~ spl0_417 ),
inference(sat_conversion,[],[f53901]) ).
cnf(s3856,plain,
( spl0_278
| ~ spl0_414
| spl0_418 ),
inference(sat_conversion,[],[f53908]) ).
cnf(s3858,plain,
( ~ spl0_266
| ~ spl0_267
| spl0_338 ),
inference(sat_conversion,[],[f53911]) ).
cnf(s3859,plain,
( ~ spl0_36
| ~ spl0_147
| ~ spl0_279
| spl0_288 ),
inference(sat_conversion,[],[f53913]) ).
cnf(s3860,plain,
( ~ spl0_24
| spl0_81
| ~ spl0_94 ),
inference(sat_conversion,[],[f53914]) ).
cnf(s3862,plain,
( ~ spl0_32
| spl0_192
| spl0_197 ),
inference(sat_conversion,[],[f53916]) ).
cnf(s3863,plain,
( ~ spl0_54
| spl0_63
| ~ spl0_70
| ~ spl0_194 ),
inference(sat_conversion,[],[f53917]) ).
cnf(s3864,plain,
( ~ spl0_23
| ~ spl0_274
| spl0_284
| ~ spl0_285 ),
inference(sat_conversion,[],[f53919]) ).
cnf(s3866,plain,
( spl0_58
| ~ spl0_83
| ~ spl0_166
| spl0_170 ),
inference(sat_conversion,[],[f53921]) ).
cnf(s3867,plain,
( ~ spl0_8
| ~ spl0_20
| ~ spl0_136
| spl0_303
| ~ spl0_376 ),
inference(sat_conversion,[],[f53922]) ).
cnf(s3868,plain,
( ~ spl0_145
| ~ spl0_266
| ~ spl0_309
| ~ spl0_331 ),
inference(sat_conversion,[],[f53923]) ).
cnf(s3869,plain,
( ~ spl0_148
| spl0_295
| spl0_309
| spl0_374
| ~ spl0_468 ),
inference(sat_conversion,[],[f53924]) ).
cnf(s3877,plain,
( ~ spl0_61
| ~ spl0_187
| spl0_278
| ~ spl0_286
| ~ spl0_376 ),
inference(rat,[],[s3437,s3468]) ).
cnf(s3878,plain,
( ~ spl0_187
| ~ spl0_263
| ~ spl0_266
| spl0_278
| ~ spl0_286 ),
inference(rat,[],[s3436,s3468]) ).
cnf(s3879,plain,
( ~ spl0_187
| ~ spl0_263
| spl0_278
| ~ spl0_286
| spl0_306 ),
inference(rat,[],[s3434,s3468]) ).
cnf(s3880,plain,
( ~ spl0_61
| ~ spl0_187
| spl0_278
| ~ spl0_284
| ~ spl0_288 ),
inference(rat,[],[s3433,s3468]) ).
cnf(s3892,plain,
( ~ spl0_101
| ~ spl0_102
| spl0_136
| ~ spl0_236
| spl0_290
| spl0_313 ),
inference(rat,[],[s1544,s1847]) ).
cnf(s3897,plain,
( spl0_283
| spl0_348 ),
inference(rat,[],[s1334,s3468]) ).
cnf(s3898,plain,
( spl0_284
| spl0_350 ),
inference(rat,[],[s1212,s3593]) ).
cnf(s3899,plain,
( ~ spl0_197
| ~ spl0_236
| ~ spl0_278
| spl0_303 ),
inference(rat,[],[s1123,s1143]) ).
cnf(s3900,plain,
( ~ spl0_197
| spl0_288
| spl0_303 ),
inference(rat,[],[s1122,s1143]) ).
cnf(s3910,plain,
( spl0_278
| spl0_280 ),
inference(rat,[],[s812,s877]) ).
cnf(s3915,plain,
( ~ spl0_12
| ~ spl0_135
| spl0_136
| ~ spl0_264
| spl0_293 ),
inference(rat,[],[s732,s778]) ).
cnf(s3925,plain,
( spl0_61
| spl0_94 ),
inference(rat,[],[s195,s246]) ).
cnf(s3935,plain,
( spl0_82
| spl0_89 ),
inference(rat,[],[s115,s180]) ).
cnf(s3936,plain,
( spl0_72
| spl0_83 ),
inference(rat,[],[s112,s296]) ).
cnf(s3937,plain,
( spl0_58
| spl0_70 ),
inference(rat,[],[s99,s296]) ).
cnf(s3947,plain,
( spl0_20
| spl0_48 ),
inference(rat,[],[s39,s246]) ).
cnf(s3948,plain,
( spl0_13
| spl0_23 ),
inference(rat,[],[s18,s246]) ).
cnf(s3949,plain,
( ~ spl0_195
| ~ spl0_61
| ~ spl0_89
| ~ spl0_192 ),
inference(rat,[],[s3517,s2458]) ).
cnf(s3950,plain,
( ~ spl0_309
| spl0_107
| spl0_141
| ~ spl0_68
| spl0_29
| ~ spl0_6 ),
inference(rat,[],[s2190,s3501,s2527]) ).
cnf(s3951,plain,
( spl0_309
| ~ spl0_192
| ~ spl0_20
| ~ spl0_34
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s2680,s2471,s1548,s2932]) ).
cnf(s3952,plain,
( spl0_141
| ~ spl0_68
| spl0_58
| ~ spl0_135
| ~ spl0_309
| spl0_29
| ~ spl0_6 ),
inference(rat,[],[s1920,s2083,s3950,s3501,s1233,s2527,s778]) ).
cnf(s3953,plain,
( spl0_58
| ~ spl0_148
| ~ spl0_135
| spl0_136
| ~ spl0_20
| ~ spl0_237
| ~ spl0_154
| ~ spl0_12 ),
inference(rat,[],[s3866,s1327,s1919,s1460,s1731,s362,s2510,s1707,s457,s3394,s778,s1412,s296,s180]) ).
cnf(s3954,plain,
( ~ spl0_58
| spl0_29
| ~ spl0_181
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s471,s3266,s3013,s307,s574]) ).
cnf(s3956,plain,
( ~ spl0_145
| ~ spl0_309
| spl0_136
| ~ spl0_89
| spl0_58
| ~ spl0_17
| ~ spl0_23
| ~ spl0_10
| ~ spl0_6 ),
inference(rat,[],[s1687,s3050,s2322,s2427,s2458,s3792,s2682,s402,s1954,s2996,s1533,s296]) ).
cnf(s3957,plain,
( spl0_136
| spl0_58
| ~ spl0_17
| spl0_13
| ~ spl0_10
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2636,s2458,s2189,s2322,s3347,s3340,s3381,s3956,s2932,s1284,s19,s3394,s1286,s296,s778,s180]) ).
cnf(s3959,plain,
( spl0_148
| ~ spl0_309
| spl0_136
| ~ spl0_192
| ~ spl0_235
| spl0_13
| ~ spl0_294 ),
inference(rat,[],[s1878,s2557,s3350,s2996,s26,s3340,s1650,s778,s1847,s296]) ).
cnf(s3961,plain,
( ~ spl0_266
| ~ spl0_308
| ~ spl0_145
| spl0_311
| ~ spl0_223 ),
inference(rat,[],[s955,s1150,s2113,s877]) ).
cnf(s3962,plain,
( spl0_136
| ~ spl0_380
| ~ spl0_357
| ~ spl0_22
| ~ spl0_222
| ~ spl0_223
| ~ spl0_58
| ~ spl0_192
| ~ spl0_17
| ~ spl0_235
| spl0_13
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2271,s2995,s3385,s3282,s700,s3961,s3235,s3720,s1964,s471,s480,s1466,s3244,s1706,s1602,s3515,s3386,s23,s2381,s134,s2551,s1232,s2557,s906,s921,s3424,s931,s1251,s1027,s2322,s1568,s3959,s2482,s1810,s2932,s1533,s3947,s2847,s307,s296,s246,s778]) ).
cnf(s3963,plain,
( ~ spl0_89
| ~ spl0_147
| spl0_95
| ~ spl0_148
| ~ spl0_24
| ~ spl0_192
| ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s1718,s2501,s3260,s3949,s2876]) ).
cnf(s3964,plain,
( ~ spl0_61
| spl0_95
| ~ spl0_375
| ~ spl0_192 ),
inference(rat,[],[s3517,s2678]) ).
cnf(s3966,plain,
( spl0_68
| ~ spl0_29
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s513,s471,s3325]) ).
cnf(s3969,plain,
( ~ spl0_58
| ~ spl0_181
| ~ spl0_8
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s3013,s3966,s574,s3954]) ).
cnf(s3972,plain,
( spl0_136
| spl0_58
| ~ spl0_181
| ~ spl0_20
| ~ spl0_192
| ~ spl0_237
| ~ spl0_154
| ~ spl0_235
| spl0_13
| ~ spl0_12
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s3381,s3953,s1954,s3959,s2932,s1533,s778]) ).
cnf(s3973,plain,
( spl0_17
| ~ spl0_192
| spl0_13
| ~ spl0_12
| ~ spl0_10
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s921,s2848,s1514,s3197,s3972,s3969,s523,s432,s2945,s3823,s1533,s1284,s1282,s1281,s453,s1286,s246]) ).
cnf(s3974,plain,
( spl0_136
| ~ spl0_17
| ~ spl0_192
| spl0_13
| ~ spl0_10
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3962,s1503,s3187,s402,s406,s413,s448,s450,s3969,s3957,s1533,s1284]) ).
cnf(s3976,plain,
( ~ spl0_61
| spl0_148
| ~ spl0_357
| ~ spl0_375
| ~ spl0_313
| ~ spl0_17
| ~ spl0_192 ),
inference(rat,[],[s3244,s3364,s2458,s480,s2411,s2678,s3964,s3231,s1964,s246]) ).
cnf(s3977,plain,
( spl0_148
| ~ spl0_357
| ~ spl0_375
| spl0_29
| ~ spl0_136
| ~ spl0_96
| ~ spl0_17
| ~ spl0_192
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3108,s1327,s1228,s2001,s3526,s2242,s3182,s2759,s498,s197,s3976,s3197,s296,s180]) ).
cnf(s3978,plain,
( spl0_29
| ~ spl0_136
| ~ spl0_96
| ~ spl0_17
| ~ spl0_192
| spl0_13
| ~ spl0_10
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1228,s3526,s3182,s2501,s498,s3247,s3964,s2247,s1667,s3977,s3187,s1485,s413,s433,s2848,s921,s1514,s2569,s3197,s1281,s453,s3652,s12,s2847,s19,s296,s180,s1847]) ).
cnf(s3979,plain,
( ~ spl0_192
| spl0_13
| ~ spl0_2
| ~ spl0_12
| ~ spl0_10
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s3109,s2752,s1538,s414,s2470,s2242,s513,s498,s2055,s3231,s1706,s2223,s3966,s3978,s3974,s250,s2847,s3973,s246,s180,s296]) ).
cnf(s3980,plain,
( spl0_29
| ~ spl0_136
| ~ spl0_89
| spl0_58
| ~ spl0_181
| ~ spl0_17
| ~ spl0_235
| ~ spl0_10
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2001,s1602,s3347,s3340,s3381,s921,s2848,s3197,s296,s778]) ).
cnf(s3981,plain,
( spl0_13
| ~ spl0_12
| ~ spl0_10
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2189,s3347,s3340,s3381,s1954,s2055,s1790,s2223,s3966,s3980,s3957,s3394,s3969,s589,s2146,s3979,s1286,s1282,s1284,s1533,s296,s778,s180,s246]) ).
cnf(s3982,plain,
( spl0_313
| spl0_136
| ~ spl0_380
| ~ spl0_223
| ~ spl0_236
| ~ spl0_20
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s1467,s2842,s23,s1884,s2634,s3626,s1879,s699,s3274,s3715,s700,s3247,s3961,s3717,s1205,s921,s3424,s3634,s925,s1810,s406,s1250,s2482,s2932,s296,s1847,s778]) ).
cnf(s3983,plain,
( spl0_148
| ~ spl0_322
| spl0_136
| ~ spl0_375
| ~ spl0_221
| spl0_17
| ~ spl0_192
| ~ spl0_13
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s2759,s1220,s197,s3247,s2678,s2557,s2427,s902,s2660,s2110,s1607,s2532,s2510,s1553,s2706,s1901,s1119,s1898,s2777,s30,s1547,s523,s406,s1250,s533,s2945,s2932,s1233,s180,s1847,s296,s778]) ).
cnf(s3984,plain,
( spl0_58
| spl0_441
| spl0_61
| ~ spl0_148
| ~ spl0_313
| spl0_311
| spl0_136
| ~ spl0_435
| ~ spl0_198
| ~ spl0_223
| ~ spl0_192
| ~ spl0_13
| ~ spl0_8
| ~ spl0_294 ),
inference(rat,[],[s1381,s3735,s3244,s2505,s3385,s2183,s3282,s3325,s700,s2072,s1718,s1553,s3961,s2996,s3207,s3719,s3012,s3055,s2246,s2647,s1851,s3792,s100,s1027,s2932,s1667,s197,s246,s296,s180]) ).
cnf(s3985,plain,
( ~ spl0_275
| spl0_164
| spl0_61
| ~ spl0_148
| ~ spl0_313
| spl0_17
| ~ spl0_192 ),
inference(rat,[],[s3203,s26,s455,s1258,s2647,s2189,s2246,s180]) ).
cnf(s3986,plain,
( spl0_136
| ~ spl0_380
| ~ spl0_435
| ~ spl0_375
| ~ spl0_221
| ~ spl0_223
| spl0_17
| ~ spl0_192
| ~ spl0_13
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s2899,s699,s1035,s3313,s1467,s23,s2634,s2505,s3846,s3282,s700,s3778,s3961,s921,s2996,s3719,s3012,s3985,s2086,s3984,s3063,s197,s3247,s3964,s2247,s1667,s3983,s1027,s2569,s3982,s2482,s1233,s2932,s1533,s149,s413,s1250,s533,s2945,s296,s180,s1847,s778]) ).
cnf(s3987,plain,
( ~ spl0_61
| ~ spl0_195
| spl0_110
| ~ spl0_313
| ~ spl0_20
| ~ spl0_192
| ~ spl0_6 ),
inference(rat,[],[s3062,s2411,s3526,s1964,s915]) ).
cnf(s3988,plain,
( ~ spl0_195
| ~ spl0_147
| ~ spl0_14
| spl0_110
| ~ spl0_120
| spl0_148
| ~ spl0_313
| ~ spl0_20
| ~ spl0_192
| ~ spl0_6 ),
inference(rat,[],[s1220,s2110,s2072,s2411,s2759,s3189,s197,s3987,s180]) ).
cnf(s3989,plain,
( spl0_17
| ~ spl0_192
| ~ spl0_13
| ~ spl0_10
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2295,s3348,s2404,s3792,s471,s3988,s3247,s211,s2175,s2689,s1205,s24,s1898,s2764,s996,s3951,s1255,s2680,s3197,s2527,s2471,s3986,s1503,s2682,s1485,s402,s406,s433,s447,s450,s1250,s523,s533,s149,s2945,s296,s1847]) ).
cnf(s3990,plain,
( spl0_313
| spl0_311
| ~ spl0_309
| spl0_136
| ~ spl0_380
| ~ spl0_22
| ~ spl0_183
| ~ spl0_223
| ~ spl0_48
| spl0_44
| ~ spl0_192
| ~ spl0_13 ),
inference(rat,[],[s1236,s2755,s3635,s1213,s1566,s2749,s699,s3746,s3274,s3715,s1444,s1375,s700,s388,s1471,s3961,s3717,s1437,s1307,s3424,s3634,s925,s2982,s1810,s1143,s296,s778]) ).
cnf(s3991,plain,
( spl0_58
| ~ spl0_135
| ~ spl0_313
| spl0_136
| ~ spl0_435
| ~ spl0_19
| ~ spl0_192
| ~ spl0_10 ),
inference(rat,[],[s1614,s2072,s1964,s2411,s1851,s3347,s3792,s100,s296]) ).
cnf(s3992,plain,
( ~ spl0_266
| spl0_376
| ~ spl0_135
| ~ spl0_285
| ~ spl0_313
| spl0_136
| ~ spl0_383 ),
inference(rat,[],[s2203,s2849,s2807,s699,s3127,s3335,s296]) ).
cnf(s3993,plain,
( ~ spl0_61
| ~ spl0_82
| spl0_164
| spl0_145
| spl0_148
| ~ spl0_313
| spl0_136
| ~ spl0_375
| ~ spl0_383
| ~ spl0_183
| ~ spl0_48
| spl0_44
| ~ spl0_17
| ~ spl0_192
| ~ spl0_13 ),
inference(rat,[],[s2502,s3740,s3746,s700,s3992,s2268,s2448,s3674,s1437,s2532,s388,s2660,s1444,s2647,s2411,s3976,s2678,s1964,s1233,s2586,s1375,s1471,s3381,s296,s778,s1847]) ).
cnf(s3994,plain,
( ~ spl0_25
| ~ spl0_309
| spl0_136
| ~ spl0_17
| ~ spl0_192 ),
inference(rat,[],[s1232,s1257]) ).
cnf(s3995,plain,
( spl0_145
| ~ spl0_33
| spl0_148
| ~ spl0_313
| spl0_136
| ~ spl0_435
| ~ spl0_375
| ~ spl0_383
| ~ spl0_183
| ~ spl0_19
| ~ spl0_48
| spl0_44
| ~ spl0_17
| ~ spl0_192
| ~ spl0_13
| ~ spl0_10 ),
inference(rat,[],[s3993,s1466,s3244,s1270,s307,s2086,s3991,s3381,s246,s778]) ).
cnf(s3996,plain,
( spl0_58
| spl0_111
| ~ spl0_308
| ~ spl0_435
| ~ spl0_19
| ~ spl0_95 ),
inference(rat,[],[s1998,s3052,s3244,s2427,s2458,s3792,s100,s246,s296]) ).
cnf(s3997,plain,
( spl0_136
| ~ spl0_380
| ~ spl0_375
| ~ spl0_383
| ~ spl0_17
| ~ spl0_192
| ~ spl0_13
| ~ spl0_10
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s3499,s2208,s1935,s3055,s1336,s3740,s906,s1033,s307,s3996,s975,s966,s1717,s1566,s3746,s700,s3961,s2898,s2996,s3995,s23,s134,s3994,s1375,s1471,s1667,s3990,s2482,s2932,s1900,s3947,s12,s2847,s450,s447,s433,s406,s2682,s402,s1305,s2980,s1533,s1109,s296]) ).
cnf(s3998,plain,
( spl0_313
| ~ spl0_136
| ~ spl0_380
| ~ spl0_435
| ~ spl0_183
| ~ spl0_223
| ~ spl0_19
| spl0_44
| ~ spl0_95
| ~ spl0_13
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1270,s2107,s307,s3515,s26,s3996,s3247,s1706,s1650,s2586,s2898,s921,s3966,s2482,s1307,s3424,s925,s3197,s2055,s1847,s778]) ).
cnf(s3999,plain,
( ~ spl0_61
| ~ spl0_82
| ~ spl0_195
| spl0_148
| ~ spl0_313
| ~ spl0_136
| ~ spl0_17
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s3109,s1228,s3229,s3644,s2411,s3231,s1964]) ).
cnf(s4000,plain,
( spl0_58
| ~ spl0_313
| ~ spl0_136
| ~ spl0_435
| ~ spl0_95
| ~ spl0_17
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s2072,s2411,s1327,s3365,s3071,s197,s3999,s3244,s2458,s1812,s3792,s3947,s2847,s1667,s26,s1542,s180,s246,s296]) ).
cnf(s4001,plain,
( ~ spl0_61
| ~ spl0_82
| spl0_148
| ~ spl0_313
| ~ spl0_136
| ~ spl0_375
| ~ spl0_17
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s3999,s2678]) ).
cnf(s4002,plain,
( ~ spl0_192
| ~ spl0_13
| ~ spl0_10
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s499,s2242,s134,s2001,s23,s3365,s1466,s197,s4001,s3244,s1270,s307,s4000,s26,s1542,s1667,s3998,s3997,s1503,s2682,s1485,s1507,s402,s433,s448,s450,s12,s3947,s1305,s2847,s1900,s2980,s3989,s1533,s180,s246]) ).
cnf(s4003,plain,
( spl0_313
| ~ spl0_309
| spl0_136
| ~ spl0_380
| ~ spl0_22
| ~ spl0_183
| ~ spl0_223
| spl0_44
| ~ spl0_50
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s1236,s2755,s1884,s1213,s2259,s2749,s3274,s3746,s1444,s700,s388,s3961,s3717,s1437,s1695,s1307,s3424,s3634,s925,s2982,s1810,s2482,s1143,s296,s778]) ).
cnf(s4004,plain,
( spl0_58
| spl0_286
| ~ spl0_68
| ~ spl0_309
| spl0_136
| ~ spl0_435 ),
inference(rat,[],[s902,s2427,s3121,s1851,s3792,s100,s1327,s296]) ).
cnf(s4005,plain,
( ~ spl0_20
| ~ spl0_38
| spl0_148
| ~ spl0_322
| spl0_136
| ~ spl0_435
| ~ spl0_17
| ~ spl0_13
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3381,s906,s1616,s3365,s3244,s2063,s197,s1270,s916,s307,s4004,s2190,s1553,s3966,s3361,s533,s1900,s2482,s2932,s2586,s778,s246,s180,s1847]) ).
cnf(s4006,plain,
( spl0_58
| ~ spl0_30
| ~ spl0_435
| ~ spl0_383
| spl0_192 ),
inference(rat,[],[s3333,s360,s3792,s296]) ).
cnf(s4007,plain,
( ~ spl0_275
| ~ spl0_195
| spl0_89
| ~ spl0_38
| ~ spl0_285
| ~ spl0_313
| ~ spl0_309
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s3247,s2107,s1482,s2072,s2427,s2411,s1847]) ).
cnf(s4008,plain,
( spl0_136
| ~ spl0_380
| ~ spl0_435
| ~ spl0_383
| ~ spl0_183
| ~ spl0_223
| spl0_192
| ~ spl0_13
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1929,s3109,s3344,s3229,s4007,s471,s480,s1706,s2167,s1466,s3244,s1270,s307,s2086,s4006,s23,s22,s2537,s2859,s4005,s26,s2586,s1542,s1667,s1027,s4003,s2932,s436,s407,s1900,s406,s3047,s589,s1305,s2980,s2146,s1533,s246,s1847]) ).
cnf(s4009,plain,
( spl0_313
| ~ spl0_136
| ~ spl0_380
| ~ spl0_435
| ~ spl0_183
| ~ spl0_223
| spl0_44
| ~ spl0_95
| ~ spl0_50
| ~ spl0_13
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1879,s3274,s3746,s533,s1695,s700,s3729,s12,s3240,s3961,s2482,s3238,s3998,s1307,s3424,s925,s2055,s406,s1305,s296,s778]) ).
cnf(s4010,plain,
( ~ spl0_13
| ~ spl0_10
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3229,s3109,s2174,s1929,s1466,s3244,s1270,s3835,s307,s2086,s3833,s4006,s412,s23,s22,s24,s1956,s2537,s2859,s1548,s996,s2652,s1667,s1027,s2223,s4009,s2235,s4008,s1503,s2682,s1507,s3047,s402,s433,s447,s448,s450,s589,s1305,s1900,s2980,s2146,s436,s4002,s1533,s246,s1847]) ).
cnf(s4011,plain,
( ~ spl0_192
| ~ spl0_136
| spl0_316
| ~ spl0_20
| spl0_13
| ~ spl0_10
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s921,s2848,s432,s3340,s3197,s3823,s2680,s523,s2847,s1284,s296]) ).
cnf(s4012,plain,
( ~ spl0_10
| ~ spl0_8
| ~ spl0_2
| ~ spl0_6 ),
inference(rat,[],[s3340,s2722,s1954,s2055,s2223,s2652,s589,s4011,s1534,s1535,s2120,s6,s3981,s1282,s1284,s4010,s246,s296]) ).
cnf(s4013,plain,
( spl0_148
| spl0_13
| spl0_111
| spl0_136 ),
inference(rat,[],[s3350,s26,s1878,s1650,s778,s1847]) ).
cnf(s4015,plain,
( ~ spl0_266
| spl0_311
| ~ spl0_308
| ~ spl0_309
| ~ spl0_145
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s3487,s3677,s1150,s2318,s3868]) ).
cnf(s4016,plain,
( ~ spl0_20
| ~ spl0_315
| ~ spl0_265
| ~ spl0_147
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s23,s1467,s2634,s2842,s1885,s1884]) ).
cnf(s4017,plain,
( spl0_58
| ~ spl0_30
| ~ spl0_17
| spl0_396
| ~ spl0_148
| ~ spl0_308
| ~ spl0_2 ),
inference(rat,[],[s2636,s2189,s2427,s360,s3050]) ).
cnf(s4018,plain,
( spl0_313
| spl0_13
| spl0_136
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3629,s2381,s2208,s1935,s2551,s1336,s3740,s906,s1216,s307,s4017,s2852,s26,s1259,s2995,s2322,s2945,s3947,s4016,s1043,s2018,s3268,s1236,s2529,s1884,s3626,s3274,s699,s3717,s387,s3715,s3634,s3042,s1251,s921,s3247,s1810,s406,s1954,s700,s4015,s2482,s19,s4013,s2557,s2996,s3048,s5,s4012,s1533,s2932,s1109,s296,s1847]) ).
cnf(s4019,plain,
( spl0_303
| spl0_13
| spl0_136
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s23,s1467,s2634,s2505,s2842,s2529,s3247,s700,s4015,s2482,s1667,s2945,s1568,s1027,s4018,s4013,s2557,s2996,s3048,s5,s4012,s1533,s2932,s296,s1847]) ).
cnf(s4020,plain,
( spl0_13
| spl0_136
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1660,s1566,s2217,s1756,s3714,s2679,s2849,s699,s1153,s4019,s1027,s4018,s19,s1233,s3247,s2557,s700,s4015,s2482,s2996,s1533,s2932,s3048,s5,s4012,s296,s1847,s778]) ).
cnf(s4021,plain,
( spl0_72
| spl0_358
| spl0_284
| ~ spl0_48
| ~ spl0_278
| ~ spl0_263
| spl0_313
| spl0_51
| ~ spl0_22
| ~ spl0_145 ),
inference(rat,[],[s3629,s3718,s2381,s314,s2531]) ).
cnf(s4022,plain,
( spl0_313
| spl0_136
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2208,s1935,s3499,s1336,s3740,s3055,s1032,s2427,s3526,s3182,s4021,s2669,s1437,s388,s1444,s1375,s2755,s1471,s1467,s1213,s3778,s23,s2018,s2837,s1900,s134,s3268,s2882,s940,s2945,s3947,s1236,s2529,s4016,s1884,s3645,s975,s3274,s699,s3717,s387,s3715,s3634,s3042,s2982,s921,s3247,s2557,s310,s1232,s1810,s406,s1954,s700,s4015,s2482,s2996,s1533,s2932,s3048,s5,s4012,s4020,s1109,s1143,s296,s1847]) ).
cnf(s4023,plain,
( ~ spl0_275
| spl0_148
| ~ spl0_322
| ~ spl0_147
| spl0_311
| ~ spl0_308
| ~ spl0_145
| spl0_136
| ~ spl0_2 ),
inference(rat,[],[s1220,s2110,s1851,s1553,s100,s471,s307,s2427,s906]) ).
cnf(s4024,plain,
( spl0_195
| spl0_58
| ~ spl0_87
| ~ spl0_22 ),
inference(rat,[],[s1540,s2682,s2627,s3792,s296]) ).
cnf(s4025,plain,
( spl0_148
| ~ spl0_20
| spl0_136
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1553,s2107,s3644,s3949,s4024,s916,s915,s196,s2567,s3346,s3056,s3057,s4023,s26,s1650,s2586,s2482,s406,s1954,s3247,s2557,s2996,s3048,s5,s4012,s1533,s1027,s4022,s2932,s533,s4020,s1847]) ).
cnf(s4026,plain,
( ~ spl0_263
| spl0_95
| ~ spl0_148
| ~ spl0_322
| spl0_343
| ~ spl0_265
| ~ spl0_147
| ~ spl0_192
| ~ spl0_2 ),
inference(rat,[],[s23,s1467,s2634,s2505,s2529,s1330,s1153]) ).
cnf(s4027,plain,
( ~ spl0_20
| spl0_136
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2688,s3782,s2862,s1879,s2795,s2217,s2899,s3714,s2679,s699,s4026,s1667,s4025,s533,s1233,s3247,s2557,s700,s4015,s2482,s2996,s1533,s1956,s4020,s3048,s5,s4012,s1027,s4022,s2932,s3593,s296,s1847,s778]) ).
cnf(s4028,plain,
( spl0_136
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2086,s2502,s100,s2407,s3052,s3229,s1998,s3244,s3385,s3949,s2529,s471,s1717,s3231,s1964,s1566,s3055,s3746,s1375,s1471,s4023,s1568,s2945,s12,s3947,s4027,s1027,s4022,s4020,s700,s4015,s3247,s2557,s2482,s2996,s2932,s3048,s1533,s5,s4012,s246,s296,s1847]) ).
cnf(s4029,plain,
( spl0_313
| spl0_13
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2752,s3109,s414,s1538,s513,s2470,s2242,s498,s250,s6,s3231,s1706,s2945,s2120,s3966,s523,s3197,s2055,s4028,s296,s180,s246]) ).
cnf(s4030,plain,
( ~ spl0_264
| spl0_288
| ~ spl0_147
| spl0_148 ),
inference(rat,[],[s2817,s3146,s2586,s1847]) ).
cnf(s4031,plain,
( ~ spl0_263
| spl0_407
| spl0_283
| ~ spl0_369 ),
inference(rat,[],[s1931,s2011]) ).
cnf(s4032,plain,
( ~ spl0_266
| ~ spl0_369
| spl0_141
| ~ spl0_84
| ~ spl0_308
| ~ spl0_68
| spl0_145
| ~ spl0_38
| ~ spl0_285
| ~ spl0_20
| ~ spl0_192
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2795,s2285,s2864,s2796,s699,s4031,s2412,s2595,s1816,s2113,s2318,s3247,s2557,s100,s3013,s1533,s296,s1847]) ).
cnf(s4033,plain,
( ~ spl0_308
| ~ spl0_275
| spl0_145
| ~ spl0_20
| ~ spl0_313
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1896,s699,s3732,s2900,s2842,s1816,s3740,s1779,s700,s4032,s3013,s1696,s2072,s3353,s2295,s2383,s2404,s414,s3247,s2427,s2557,s1533,s149,s2847,s1898,s3951,s1027,s2235,s2586,s26,s1650,s2680,s2471,s3381,s3325,s2242,s2001,s4028,s296,s1847,s778]) ).
cnf(s4034,plain,
( ~ spl0_264
| ~ spl0_147
| spl0_148
| ~ spl0_20
| ~ spl0_192
| ~ spl0_9
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s1660,s3487,s1566,s2842,s2795,s4030,s2864,s1533,s2586,s26,s1650,s1847]) ).
cnf(s4035,plain,
( ~ spl0_266
| spl0_304
| ~ spl0_263
| ~ spl0_136
| ~ spl0_9
| ~ spl0_8
| ~ spl0_294 ),
inference(rat,[],[s1660,s3487,s1157,s1155]) ).
cnf(s4036,plain,
( ~ spl0_263
| ~ spl0_369
| spl0_141
| ~ spl0_84
| spl0_308
| ~ spl0_68
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s1816,s4031,s2529,s2595,s2057]) ).
cnf(s4037,plain,
( spl0_303
| ~ spl0_264
| spl0_58
| ~ spl0_275
| ~ spl0_135
| ~ spl0_20
| spl0_13
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3866,s1371,s2005,s3841,s813,s704,s2744,s2807,s413,s3127,s3187,s700,s1741,s2900,s2842,s3867,s2529,s2223,s1255,s1027,s2235,s2586,s2680,s2471,s2510,s83,s2242,s2001,s4029,s4028,s296,s1847]) ).
cnf(s4038,plain,
( spl0_195
| ~ spl0_275
| spl0_145
| ~ spl0_20
| spl0_13
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3925,s1909,s3267,s1697,s3732,s3244,s2795,s2840,s2285,s2843,s2412,s1816,s4037,s3247,s4034,s2796,s699,s4036,s100,s3013,s1696,s2072,s2295,s2404,s414,s1533,s5,s4012,s2680,s2471,s149,s2847,s1898,s3951,s1027,s2235,s3381,s3325,s2790,s2242,s2001,s4028,s19,s4033,s4029,s246,s1847,s296,s778]) ).
cnf(s4039,plain,
( ~ spl0_275
| spl0_145
| ~ spl0_20
| spl0_13
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3247,s1483,s1220,s2458,s2759,s2774,s2110,s197,s3187,s2072,s1964,s413,s2411,s2429,s4038,s1255,s1027,s4029,s2235,s2586,s2680,s2471,s4028,s1847,s180]) ).
cnf(s4040,plain,
( spl0_195
| spl0_141
| spl0_275
| spl0_309
| spl0_29
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3066,s100,s83,s3013,s2641,s3182,s471,s414,s1533]) ).
cnf(s4041,plain,
( ~ spl0_147
| spl0_275
| spl0_145
| ~ spl0_20
| ~ spl0_313
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3535,s100,s2180,s2510,s3013,s3988,s3526,s3644,s4040,s1964,s915,s3189,s1533,s2223,s1255,s2680,s2471,s211,s24,s3951,s1027,s2235,s4028,s296]) ).
cnf(s4042,plain,
( spl0_195
| spl0_275
| spl0_243
| ~ spl0_36
| spl0_148
| spl0_309
| spl0_29
| ~ spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2072,s2295,s4040,s2404]) ).
cnf(s4043,plain,
( spl0_145
| ~ spl0_20
| spl0_13
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3229,s3109,s3244,s3674,s2458,s2647,s4042,s1483,s3247,s4041,s4039,s2223,s2680,s2471,s149,s2847,s1898,s3951,s1027,s4029,s2235,s4028,s246,s1847]) ).
cnf(s4044,plain,
( ~ spl0_147
| ~ spl0_368
| ~ spl0_357
| ~ spl0_152
| ~ spl0_20
| ~ spl0_313
| ~ spl0_23
| ~ spl0_136
| ~ spl0_192
| ~ spl0_9
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s3515,s2295,s1942,s2404,s1236,s3988,s1768,s2755,s2175,s3864,s1213,s1204,s2795,s1085,s700,s3487,s4035,s3626,s944,s2306,s699,s4034,s1533,s1255,s1898,s2586,s2680,s2471,s211,s24,s3951,s2764,s406,s2848,s2223,s1027,s2235,s149,s2847,s1706,s3325,s2242,s1143,s296,s1847]) ).
cnf(s4045,plain,
( ~ spl0_264
| spl0_422
| ~ spl0_357
| ~ spl0_285
| ~ spl0_20
| ~ spl0_120
| ~ spl0_192
| ~ spl0_6 ),
inference(rat,[],[s2795,s2290,s1741]) ).
cnf(s4046,plain,
( ~ spl0_20
| spl0_13
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4042,s2001,s3988,s4044,s2175,s3247,s1204,s1085,s3487,s3626,s2306,s699,s4045,s2845,s2764,s2518,s3187,s406,s413,s2848,s921,s4043,s211,s2586,s24,s1898,s149,s2680,s3951,s2847,s2471,s5,s4012,s19,s2223,s1255,s1027,s4029,s2235,s4028,s1847,s296]) ).
cnf(s4047,plain,
( spl0_72
| ~ spl0_96
| ~ spl0_17
| ~ spl0_192
| ~ spl0_8 ),
inference(rat,[],[s3231,s498,s3325,s296,s180]) ).
cnf(s4048,plain,
( spl0_148
| ~ spl0_354
| spl0_286
| ~ spl0_195
| ~ spl0_357
| ~ spl0_120
| ~ spl0_192 ),
inference(rat,[],[s3925,s3949,s2759,s2774,s2586,s1847]) ).
cnf(s4049,plain,
( spl0_13
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2501,s3247,s3517,s2247,s1615,s4048,s3219,s1228,s3014,s480,s3526,s2001,s2706,s3182,s2242,s4047,s250,s3187,s3652,s6,s413,s2945,s12,s2120,s3672,s4046,s1255,s1027,s2223,s2569,s4029,s19,s5,s4012,s2235,s4028,s1847,s246]) ).
cnf(s4050,plain,
( ~ spl0_264
| ~ spl0_135
| ~ spl0_147
| spl0_148
| spl0_44
| ~ spl0_48
| ~ spl0_13 ),
inference(rat,[],[s2081,s2749,s2816,s2864,s3146,s2586,s26,s1650,s1847]) ).
cnf(s4051,plain,
( ~ spl0_263
| ~ spl0_369
| ~ spl0_286
| spl0_161
| spl0_306 ),
inference(rat,[],[s1931,s1214]) ).
cnf(s4052,plain,
( ~ spl0_275
| spl0_44
| ~ spl0_95
| spl0_143
| ~ spl0_17
| ~ spl0_68
| ~ spl0_29
| spl0_313
| ~ spl0_13
| ~ spl0_136
| ~ spl0_192
| ~ spl0_2 ),
inference(rat,[],[s3673,s2837,s972,s2864,s2290,s699,s4051,s1696,s2381,s2531,s2919,s1540,s2682,s3996,s307,s1270,s1466,s2624,s23,s2618,s3247,s134,s2427,s2557,s499,s902,s2470,s3947,s12,s523,s3231,s1780,s2055,s2586,s406,s1305,s26,s1650,s2708,s2516,s296,s1847]) ).
cnf(s4053,plain,
( spl0_313
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1747,s2557,s3247,s3346,s2567,s3056,s4052,s197,s2708,s1900,s2980,s3231,s1706,s2945,s3966,s523,s3197,s2055,s2516,s1533,s4028,s4049,s1847,s180]) ).
cnf(s4054,plain,
( ~ spl0_147
| ~ spl0_275
| ~ spl0_20
| ~ spl0_313
| ~ spl0_13
| ~ spl0_136
| ~ spl0_192
| ~ spl0_9
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s1991,s2976,s100,s1911,s3013,s1696,s2072,s2295,s2404,s3988,s2175,s1204,s1085,s2580,s3487,s2259,s1865,s700,s4035,s944,s2306,s699,s4034,s1533,s1255,s2680,s2471,s1898,s2764,s149,s2847,s406,s511,s2223,s211,s24,s3951,s1027,s2235,s2510,s3325,s2242,s2001,s296]) ).
cnf(s4055,plain,
( ~ spl0_61
| spl0_327
| ~ spl0_264
| spl0_141
| ~ spl0_286
| spl0_431
| ~ spl0_111
| ~ spl0_68
| spl0_72
| ~ spl0_275
| spl0_148
| ~ spl0_22 ),
inference(rat,[],[s3841,s700,s2976,s2900,s1038,s1815,s1816,s2843,s2840,s3244,s1635,s1909,s2174,s1929,s2586,s296,s246,s1847]) ).
cnf(s4056,plain,
( ~ spl0_266
| ~ spl0_306
| spl0_343
| ~ spl0_94
| spl0_58
| ~ spl0_111
| ~ spl0_36
| ~ spl0_198 ),
inference(rat,[],[s2818,s2426,s2809]) ).
cnf(s4057,plain,
( spl0_195
| ~ spl0_95
| spl0_308
| ~ spl0_111
| ~ spl0_68
| spl0_72
| ~ spl0_275
| ~ spl0_99
| spl0_243
| ~ spl0_36
| spl0_148
| ~ spl0_22
| ~ spl0_198
| spl0_309
| ~ spl0_313
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s2995,s2443,s2900,s2890,s700,s4056,s1697,s1635,s455,s197,s4055,s2889,s2362,s699,s4036,s3013,s1696,s2072,s2295,s2404,s2789,s414,s1255,s2586,s296,s180,s1847]) ).
cnf(s4058,plain,
( ~ spl0_263
| spl0_174
| ~ spl0_195
| spl0_311
| spl0_308
| ~ spl0_68
| ~ spl0_313
| ~ spl0_136
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s2753,s2434,s2635,s1148,s2057]) ).
cnf(s4059,plain,
( spl0_284
| ~ spl0_395
| ~ spl0_82
| ~ spl0_141
| ~ spl0_36 ),
inference(rat,[],[s1215,s2430,s2443,s2866,s3730]) ).
cnf(s4060,plain,
( ~ spl0_275
| ~ spl0_20
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2181,s2285,s2995,s2795,s4059,s2796,s2362,s699,s4058,s3726,s3244,s2458,s2411,s4057,s1205,s1204,s1483,s2557,s3247,s4054,s3325,s2242,s2001,s1533,s5,s4012,s413,s406,s511,s2223,s533,s4049,s149,s1898,s3951,s1027,s4053,s2235,s3203,s26,s1650,s2680,s2471,s4028,s2847,s296,s246,s1847]) ).
cnf(s4061,plain,
( ~ spl0_147
| ~ spl0_20
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2175,s1205,s3988,s4041,s1255,s533,s2764,s406,s511,s4049,s211,s24,s4042,s4060,s1898,s3951,s149,s2847,s2680,s2471,s1027,s2235,s2223,s4028,s4053]) ).
cnf(s4062,plain,
( ~ spl0_20
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3229,s3244,s3109,s2458,s3674,s1483,s3247,s4061,s2647,s4042,s4060,s1898,s149,s2680,s3951,s2847,s2471,s2223,s1027,s4053,s2235,s4028,s246,s1847]) ).
cnf(s4063,plain,
( ~ spl0_263
| spl0_111
| ~ spl0_147
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19
| ~ spl0_120
| ~ spl0_313
| ~ spl0_13
| ~ spl0_136
| ~ spl0_9
| ~ spl0_8
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s2626,s2995,s3737,s2529,s813,s1717,s2259,s1865,s700,s4035,s944,s2306,s2980,s296]) ).
cnf(s4064,plain,
( ~ spl0_264
| ~ spl0_147
| ~ spl0_38
| spl0_148
| ~ spl0_95
| ~ spl0_17
| ~ spl0_192
| ~ spl0_2 ),
inference(rat,[],[s2529,s1717,s1566,s2995,s4030,s2864,s2586,s1847]) ).
cnf(s4065,plain,
( ~ spl0_147
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19
| ~ spl0_120
| ~ spl0_313
| ~ spl0_13
| ~ spl0_136
| ~ spl0_192
| ~ spl0_9
| ~ spl0_8
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s1717,s2529,s1865,s2057,s700,s2557,s4035,s4063,s944,s699,s4064,s1667,s26,s1542,s2980,s296]) ).
cnf(s4066,plain,
( ~ spl0_263
| spl0_58
| ~ spl0_33
| ~ spl0_368
| spl0_308
| ~ spl0_17
| ~ spl0_22
| ~ spl0_313
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s2837,s3673,s1467,s2285,s1942,s1717,s2181,s2529,s2057,s944]) ).
cnf(s4067,plain,
( spl0_284
| ~ spl0_264
| spl0_343
| ~ spl0_33
| ~ spl0_111
| ~ spl0_285 ),
inference(rat,[],[s2426,s700,s1467,s2900,s296]) ).
cnf(s4068,plain,
( ~ spl0_284
| spl0_44
| ~ spl0_95
| ~ spl0_17
| ~ spl0_13
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s3487,s3673,s2749,s2995,s2837]) ).
cnf(s4069,plain,
( ~ spl0_275
| spl0_284
| ~ spl0_111
| ~ spl0_285
| ~ spl0_17
| ~ spl0_48
| ~ spl0_313
| ~ spl0_136
| ~ spl0_192
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s699,s1928,s4067,s3290,s1635,s1467,s1466,s23,s3718,s134,s314,s499,s319,s3231,s4047,s3325,s2242,s2001,s296]) ).
cnf(s4071,plain,
( spl0_195
| spl0_275
| spl0_309
| spl0_29
| ~ spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3109,s2072,s2409,s4040,s2062,s1255]) ).
cnf(s4072,plain,
( ~ spl0_192
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3229,s3109,s3244,s3674,s2458,s2647,s4071,s4069,s4068,s3247,s4065,s211,s24,s1548,s2586,s1667,s1900,s2980,s2945,s12,s3947,s4062,s1255,s1027,s2223,s4053,s4049,s2235,s4028,s1533,s5,s4012,s246,s1847]) ).
cnf(s4073,plain,
( spl0_136
| spl0_146
| spl0_397
| spl0_148
| ~ spl0_23
| ~ spl0_20
| spl0_311
| spl0_313
| ~ spl0_9
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s3645,s1885,s699,s3274,s3746,s3715,s700,s4015,s2996,s1687,s3048,s2055,s296]) ).
cnf(s4074,plain,
( ~ spl0_263
| ~ spl0_318
| ~ spl0_136
| spl0_311
| ~ spl0_9
| ~ spl0_8 ),
inference(rat,[],[s3487,s2750,s1085,s1148]) ).
cnf(s4075,plain,
( spl0_148
| spl0_13
| ~ spl0_147
| ~ spl0_29
| ~ spl0_20
| spl0_311
| spl0_313
| spl0_44
| spl0_192
| ~ spl0_9
| ~ spl0_8
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s3739,s3867,s1659,s406,s2919,s3127,s3487,s2290,s700,s1742,s2257,s4030,s699,s4074,s2516,s4073,s1695,s3240,s436,s19,s1540,s1296,s296,s246]) ).
cnf(s4076,plain,
( spl0_13
| ~ spl0_147
| ~ spl0_20
| spl0_313
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s974,s946,s3746,s699,s15,s1695,s3715,s3521,s1810,s700,s406,s4015,s1954,s2996,s3048,s2471,s2722,s4075,s1540,s1296,s1533,s5,s4012,s436,s1900,s2482,s2055,s3361,s2146,s4072,s296,s246]) ).
cnf(s4077,plain,
( ~ spl0_265
| spl0_146
| spl0_396
| ~ spl0_236 ),
inference(rat,[],[s1879,s3746,s3274]) ).
cnf(s4078,plain,
( ~ spl0_145
| ~ spl0_266
| spl0_311
| ~ spl0_309
| ~ spl0_9
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s4015,s2996]) ).
cnf(s4079,plain,
( spl0_148
| spl0_130
| spl0_284
| ~ spl0_236
| ~ spl0_147
| spl0_311
| spl0_313
| ~ spl0_50
| ~ spl0_9
| ~ spl0_8
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s4074,s2516,s3048,s4078,s700,s4077,s699,s1695,s2864,s3729,s3240,s2586,s2055,s26,s1259,s296,s1847]) ).
cnf(s4080,plain,
( ~ spl0_147
| ~ spl0_20
| spl0_313
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3048,s921,s2471,s3778,s2722,s4079,s3238,s406,s4068,s1305,s533,s2980,s4076,s1533,s5,s4012,s436,s1900,s2146,s4072,s2482,s2055]) ).
cnf(s4081,plain,
( ~ spl0_20
| spl0_313
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2304,s2247,s3746,s4073,s699,s1695,s3715,s1810,s700,s19,s406,s4015,s2898,s1954,s3048,s2166,s1747,s3247,s4080,s1533,s5,s4012,s436,s1900,s2146,s4072,s2482,s2055,s296,s1847]) ).
cnf(s4082,plain,
( spl0_136
| spl0_358
| spl0_20
| ~ spl0_309
| spl0_192
| ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s3521,s15,s406,s16,s1954,s1619,s3048]) ).
cnf(s4083,plain,
( spl0_148
| ~ spl0_264
| ~ spl0_29
| ~ spl0_136
| ~ spl0_379
| ~ spl0_16
| ~ spl0_19
| ~ spl0_48
| spl0_311
| ~ spl0_309
| ~ spl0_356
| ~ spl0_50
| ~ spl0_9
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s1631,s2807,s2426,s1682,s2336,s3732,s3751,s2026,s406,s1659,s1660,s2113,s2318,s2081,s2387,s2796,s3381,s4078,s700,s2816,s2257,s3146,s3240,s2586,s778,s296,s1847]) ).
cnf(s4084,plain,
( ~ spl0_89
| spl0_397
| ~ spl0_148
| spl0_164
| ~ spl0_29
| ~ spl0_136
| ~ spl0_309
| ~ spl0_356
| ~ spl0_17 ),
inference(rat,[],[s2248,s2551,s1538,s2189,s1602]) ).
cnf(s4085,plain,
( ~ spl0_266
| spl0_117
| ~ spl0_308
| ~ spl0_135
| ~ spl0_274
| ~ spl0_288
| ~ spl0_148
| spl0_306
| spl0_164
| ~ spl0_264
| ~ spl0_29
| ~ spl0_136
| ~ spl0_48
| ~ spl0_309
| ~ spl0_356
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s3841,s3735,s3075,s4084,s2816,s2081,s1659,s406,s3692,s3751,s1317,s3739,s2113,s2318,s2146]) ).
cnf(s4086,plain,
( spl0_145
| ~ spl0_274
| spl0_149
| ~ spl0_288
| ~ spl0_148
| spl0_306
| spl0_164
| ~ spl0_264
| ~ spl0_29
| ~ spl0_136
| ~ spl0_379
| ~ spl0_48
| spl0_313
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s1317,s2995,s3692,s3736,s3715,s700,s4085,s2074,s2387,s3381,s1251,s2322,s2146,s2055,s296,s778]) ).
cnf(s4087,plain,
( spl0_111
| ~ spl0_288
| ~ spl0_148
| spl0_306
| spl0_164
| ~ spl0_264
| ~ spl0_136
| ~ spl0_379
| spl0_358
| ~ spl0_16
| ~ spl0_23
| ~ spl0_48
| spl0_313
| spl0_192
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2290,s1705,s2919,s406,s1954,s4086,s2336,s2109,s1251,s2055,s3197]) ).
cnf(s4088,plain,
( ~ spl0_266
| ~ spl0_181
| ~ spl0_308
| ~ spl0_111
| ~ spl0_288
| ~ spl0_47
| ~ spl0_23
| ~ spl0_48
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s2852,s26,s1519,s1259,s1659,s1682,s3739,s2426,s2318]) ).
cnf(s4089,plain,
( ~ spl0_265
| spl0_145
| ~ spl0_147
| ~ spl0_95
| ~ spl0_264
| spl0_313 ),
inference(rat,[],[s2995,s1317,s3732,s3692,s1779,s3715,s3381,s2796,s778]) ).
cnf(s4090,plain,
( spl0_145
| ~ spl0_111
| ~ spl0_288
| ~ spl0_147
| ~ spl0_95
| ~ spl0_264
| ~ spl0_47
| ~ spl0_23
| ~ spl0_48
| spl0_313
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s2026,s3732,s406,s1682,s4088,s2426,s2113,s700,s4089,s2796,s436,s1747,s2146,s2055,s296]) ).
cnf(s4091,plain,
( ~ spl0_147
| spl0_13
| spl0_313
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1317,s972,s3692,s2290,s3715,s2919,s700,s406,s4015,s1954,s4090,s1747,s4087,s2686,s1790,s1780,s3966,s2322,s4083,s699,s4074,s2516,s3197,s4082,s1540,s1296,s1501,s3707,s3652,s19,s9,s12,s3947,s4081,s2482,s1251,s436,s5,s4012,s1533,s2146,s4072,s2055,s296,s246]) ).
cnf(s4092,plain,
( spl0_181
| ~ spl0_148
| ~ spl0_264
| ~ spl0_68
| ~ spl0_29
| ~ spl0_318
| ~ spl0_136
| spl0_358
| spl0_20
| ~ spl0_309
| spl0_313
| ~ spl0_17
| spl0_192 ),
inference(rat,[],[s2381,s3348,s2360,s360,s4084,s3692,s1317,s972,s22,s2290,s2859,s2919,s3779,s3047,s406,s589,s436,s1251,s1790]) ).
cnf(s4093,plain,
( spl0_288
| ~ spl0_181
| ~ spl0_379
| ~ spl0_49
| ~ spl0_47
| ~ spl0_294 ),
inference(rat,[],[s1659,s1688,s1570,s3548]) ).
cnf(s4094,plain,
( spl0_13
| spl0_313
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1659,s3739,s3487,s940,s972,s1317,s3692,s3715,s700,s4088,s4093,s4092,s1747,s3247,s4091,s4083,s699,s3966,s4074,s3197,s2516,s4082,s1501,s3808,s3707,s1540,s3652,s1296,s9,s19,s1533,s5,s4012,s436,s2146,s4072,s1251,s2482,s2055,s3947,s12,s4081,s296,s1847,s246]) ).
cnf(s4095,plain,
( spl0_136
| spl0_313
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4003,s1503,s596,s1540,s2669,s4082,s5,s4012,s436,s1900,s2055,s4081,s406,s1305,s2980,s2146,s4072,s1533,s4094]) ).
cnf(s4096,plain,
( spl0_313
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4074,s2516,s4095,s699,s2862,s2356,s3779,s406,s4068,s1305,s2980,s4094,s4081,s2482,s2055,s1533,s5,s4012,s436,s1900,s2146,s4072,s296]) ).
cnf(s4097,plain,
( spl0_303
| ~ spl0_29
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s940,s2529]) ).
cnf(s4098,plain,
( ~ spl0_20
| spl0_136
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1742,s2807,s2899,s3714,s699,s1153,s4097,s3361,s1900,s1233,s700,s4015,s2482,s2996,s1533,s3048,s5,s4012,s2586,s1568,s1027,s2932,s4096,s2146,s4072,s296,s1847,s778]) ).
cnf(s4099,plain,
( spl0_136
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1507,s4008,s660,s1503,s596,s2682,s1283,s1539,s1540,s2669,s4082,s4098,s1954,s2932,s3048,s5,s4012,s4072]) ).
cnf(s4100,plain,
( ~ spl0_181
| spl0_148
| ~ spl0_263
| ~ spl0_23
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2444,s1032,s1228,s1339,s3644,s79,s480,s2876,s2875,s2995,s3864,s3699,s3290,s3487,s360,s75,s2744,s3969,s2146,s700,s4035,s5,s4012,s2529,s2586,s2852,s26,s1650,s1928,s3835,s3833,s412,s24,s1548,s1027,s2235,s3548,s1688,s944,s1501,s3707,s3947,s1533,s3808,s3652,s12,s2652,s2223,s4099,s4096,s436,s4072,s1847,s296]) ).
cnf(s4101,plain,
( ~ spl0_68
| spl0_95
| ~ spl0_382
| ~ spl0_357
| ~ spl0_285
| ~ spl0_120
| spl0_29
| ~ spl0_313
| ~ spl0_17
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s2774,s2805,s2875,s2706]) ).
cnf(s4102,plain,
( spl0_148
| ~ spl0_263
| spl0_13
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2156,s1325,s2110,s1228,s3644,s471,s4101,s2995,s1601,s3898,s15,s2755,s3521,s3187,s406,s413,s4100,s2586,s436,s2146,s1255,s1027,s2235,s1540,s1296,s700,s4035,s5,s4012,s2529,s1236,s1688,s944,s1501,s3707,s3652,s19,s12,s3947,s2652,s2223,s4099,s4096,s4072,s1533,s1847,s296,s246]) ).
cnf(s4103,plain,
( ~ spl0_68
| spl0_301
| spl0_95
| ~ spl0_288
| ~ spl0_307
| ~ spl0_47
| ~ spl0_96
| ~ spl0_23
| spl0_29
| ~ spl0_17
| ~ spl0_6 ),
inference(rat,[],[s2407,s3499,s1215,s344,s498,s2875,s1609,s2706,s1533,s296,s180]) ).
cnf(s4104,plain,
( ~ spl0_263
| spl0_13
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3209,s1207,s3525,s480,s3325,s4103,s1193,s2247,s974,s1667,s4102,s2304,s3548,s1148,s2529,s700,s1688,s4035,s944,s1533,s5,s4012,s407,s2146,s250,s6,s2120,s3808,s436,s1501,s3707,s3652,s19,s12,s3947,s2652,s2223,s4099,s4096,s4072,s296,s246]) ).
cnf(s4105,plain,
( ~ spl0_181
| ~ spl0_272
| ~ spl0_48
| spl0_29
| ~ spl0_313
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s2529,s2744,s1660,s1659,s2081,s3381,s921,s2848,s778]) ).
cnf(s4106,plain,
( ~ spl0_266
| ~ spl0_284
| ~ spl0_111
| ~ spl0_288 ),
inference(rat,[],[s1682,s2426]) ).
cnf(s4107,plain,
( spl0_148
| spl0_13
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3290,s3525,s2774,s2910,s1228,s2273,s3644,s471,s480,s4101,s3204,s2995,s2443,s2890,s700,s4106,s1601,s15,s1741,s3521,s3187,s406,s413,s4105,s3835,s3833,s412,s2816,s24,s722,s3146,s1548,s2586,s1533,s407,s2146,s1255,s3947,s1540,s1296,s3808,s3652,s19,s12,s2652,s2223,s436,s4072,s2362,s699,s4104,s1027,s2235,s4099,s4096,s296,s1847,s246]) ).
cnf(s4108,plain,
( ~ spl0_303
| ~ spl0_181
| spl0_95
| ~ spl0_379
| ~ spl0_23
| ~ spl0_48
| ~ spl0_17
| ~ spl0_294 ),
inference(rat,[],[s1481,s2852,s1659,s26,s1688,s1663]) ).
cnf(s4109,plain,
( ~ spl0_266
| spl0_278
| ~ spl0_70
| ~ spl0_288
| ~ spl0_148
| ~ spl0_264
| ~ spl0_16
| ~ spl0_23
| ~ spl0_48
| ~ spl0_313
| ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s3747,s1815,s2336,s3251,s3260,s2876,s4106,s1689,s1258,s1259,s1541,s26,s2852,s1494,s1667,s1412]) ).
cnf(s4110,plain,
( ~ spl0_68
| spl0_111
| spl0_95
| ~ spl0_47
| ~ spl0_48
| spl0_29
| ~ spl0_313
| ~ spl0_17
| ~ spl0_6 ),
inference(rat,[],[s3120,s2766,s2072,s2857,s2875,s1609,s2706,s1533]) ).
cnf(s4112,plain,
( ~ spl0_141
| ~ spl0_274
| ~ spl0_307
| ~ spl0_70
| ~ spl0_313 ),
inference(rat,[],[s3747,s3251,s1215,s2072,s1412]) ).
cnf(s4113,plain,
( ~ spl0_181
| ~ spl0_148
| ~ spl0_264
| ~ spl0_379
| ~ spl0_49
| ~ spl0_47
| ~ spl0_16
| ~ spl0_23
| ~ spl0_48
| spl0_29
| ~ spl0_313
| ~ spl0_17
| ~ spl0_8
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s3524,s471,s3325,s1609,s4112,s1768,s700,s4109,s2744,s2529,s4108,s2796,s921,s100,s4093,s2848,s3969,s1667,s296]) ).
cnf(s4114,plain,
( ~ spl0_68
| ~ spl0_288
| spl0_301
| spl0_95
| ~ spl0_96
| ~ spl0_23
| spl0_29
| ~ spl0_17
| ~ spl0_6 ),
inference(rat,[],[s2407,s2502,s3499,s344,s498,s2875,s2706,s1790,s296,s180]) ).
cnf(s4115,plain,
( spl0_307
| spl0_13
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3109,s3140,s1228,s1207,s3525,s3644,s471,s3325,s4114,s1150,s2796,s700,s3732,s1467,s2890,s1481,s973,s2026,s3180,s2443,s2529,s1255,s250,s6,s2120,s2362,s1027,s2235,s1667,s406,s22,s2859,s23,s2537,s3047,s589,s4113,s4107,s699,s4104,s1501,s3808,s436,s3707,s3652,s12,s9,s19,s3947,s2146,s1533,s2652,s2223,s4099,s4096,s4072,s296,s246]) ).
cnf(s4116,plain,
( ~ spl0_68
| spl0_289
| ~ spl0_307
| ~ spl0_382
| spl0_95
| ~ spl0_264
| ~ spl0_47
| ~ spl0_96
| ~ spl0_23
| ~ spl0_48
| spl0_29
| ~ spl0_313
| ~ spl0_17
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s2256,s700,s2397,s3841,s1336,s3109,s1909,s1215,s2976,s2805,s344,s498,s4110,s2875,s1609,s2706,s1533,s296,s1109,s180]) ).
cnf(s4117,plain,
( spl0_303
| spl0_13
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1032,s2234,s2444,s2293,s716,s1223,s2001,s1228,s2242,s3644,s79,s471,s480,s3325,s4116,s1038,s1236,s250,s6,s2120,s2889,s1255,s1027,s2235,s1667,s1601,s16,s15,s3521,s406,s4113,s4107,s699,s4104,s1501,s3808,s436,s3707,s3652,s12,s9,s19,s3947,s2146,s1533,s1540,s1296,s5,s4012,s2652,s2223,s4099,s4096,s4072,s4115,s246,s296]) ).
cnf(s4118,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3140,s3109,s2001,s1228,s2242,s3525,s3644,s471,s3325,s4114,s1467,s3204,s973,s4117,s23,s2537,s3047,s589,s4113,s1667,s4107,s699,s4104,s1501,s3808,s3707,s3652,s250,s9,s19,s1533,s436,s2146,s3947,s12,s6,s2120,s2652,s2223,s4099,s4096,s4072,s296,s246]) ).
cnf(s4119,plain,
( ~ spl0_141
| spl0_143
| ~ spl0_349
| ~ spl0_307
| ~ spl0_265
| ~ spl0_285
| ~ spl0_198
| ~ spl0_13
| ~ spl0_120
| ~ spl0_313
| ~ spl0_193 ),
inference(rat,[],[s3184,s1196,s2167,s1336,s1224,s1215,s2072,s1109]) ).
cnf(s4120,plain,
( ~ spl0_68
| ~ spl0_349
| ~ spl0_307
| ~ spl0_265
| ~ spl0_301
| ~ spl0_33
| spl0_284
| ~ spl0_13
| ~ spl0_48
| ~ spl0_120
| spl0_29
| ~ spl0_313
| ~ spl0_17
| ~ spl0_193
| ~ spl0_6 ),
inference(rat,[],[s3718,s3290,s314,s1466,s496,s3509,s4119,s2706,s1706,s413,s1305,s2586,s1667,s2980,s1533,s180,s1847]) ).
cnf(s4121,plain,
( ~ spl0_263
| ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1859,s1207,s480,s3325,s4120,s1960,s3736,s1148,s1236,s2529,s700,s3739,s4035,s1928,s944,s436,s407,s1255,s3947,s1467,s23,s2537,s3047,s589,s1305,s2652,s2223,s4068,s1900,s5,s4012,s3835,s3833,s412,s24,s1548,s1667,s2980,s4118,s2146,s1533,s4072,s1027,s2235,s4099,s4096,s296,s1847]) ).
cnf(s4122,plain,
( spl0_72
| spl0_289
| spl0_301
| ~ spl0_343
| ~ spl0_288
| ~ spl0_33
| spl0_148
| ~ spl0_48 ),
inference(rat,[],[s3056,s1635,s314,s1466,s496,s3499,s2976,s180]) ).
cnf(s4123,plain,
( ~ spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3075,s2458,s2001,s3182,s2242,s4122,s1038,s1884,s2259,s975,s2081,s2074,s3381,s1956,s2816,s4067,s3146,s2889,s699,s4121,s3835,s1467,s3833,s23,s412,s2537,s24,s3226,s3047,s1548,s2586,s406,s589,s4068,s1667,s1305,s2980,s4118,s3947,s1255,s2652,s1027,s2223,s2235,s4099,s4096,s1900,s2146,s4072,s5,s4012,s1533,s778,s296,s1847]) ).
cnf(s4124,plain,
( spl0_58
| ~ spl0_148
| ~ spl0_10
| ~ spl0_135
| spl0_13
| spl0_136 ),
inference(rat,[],[s2083,s1920,s2190,s1696,s1731,s3347,s374,s1233,s246,s778]) ).
cnf(s4125,plain,
( ~ spl0_307
| spl0_164
| spl0_161
| ~ spl0_61
| ~ spl0_25
| ~ spl0_195
| ~ spl0_29
| spl0_141 ),
inference(rat,[],[s2502,s2407,s1167,s3385,s972]) ).
cnf(s4126,plain,
( spl0_17
| spl0_13
| ~ spl0_177
| spl0_136
| ~ spl0_309
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s700,s1484,s3282,s4125,s2283,s1929,s1718,s3227,s2465,s344,s2487,s2458,s1232,s498,s476,s3164,s513,s250,s3947,s471,s523,s3013,s3954,s574,s4124,s3959,s1284,s5,s3048,s3381,s1954,s395,s658,s149,s2146,s2474,s1533,s4,s4123,s6,s1534,s19,s296,s180,s246,s778]) ).
cnf(s4127,plain,
( ~ spl0_111
| ~ spl0_192
| ~ spl0_17
| ~ spl0_309 ),
inference(rat,[],[s1747,s2557]) ).
cnf(s4128,plain,
( ~ spl0_68
| ~ spl0_192
| ~ spl0_96
| spl0_29
| ~ spl0_17
| ~ spl0_6 ),
inference(rat,[],[s498,s3231,s2706,s296,s180]) ).
cnf(s4129,plain,
( ~ spl0_307
| spl0_141
| ~ spl0_195
| ~ spl0_119
| ~ spl0_95
| ~ spl0_48
| spl0_29
| spl0_13
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s2271,s3187,s3385,s413,s3954,s360,s2852,s26,s1259,s2995,s19,s3244,s2458,s246]) ).
cnf(s4130,plain,
( ~ spl0_192
| spl0_29
| spl0_13
| spl0_136
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s433,s5,s1173,s3645,s1567,s3635,s699,s2336,s3751,s406,s3954,s360,s2852,s1884,s26,s2529,s1258,s4129,s1964,s1466,s2458,s471,s480,s4128,s2322,s4013,s4127,s23,s134,s3994,s1533,s1251,s9,s250,s6,s1534,s3707,s3652,s12,s19,s3947,s3361,s4126,s387,s3042,s2055,s296,s246]) ).
cnf(s4131,plain,
( spl0_29
| spl0_13
| spl0_136
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4124,s3340,s3381,s3954,s1954,s450,s1284,s5,s4082,s1540,s1290,s1296,s4130,s3361,s1533,s4126,s387,s3042,s2055,s296,s778,s246]) ).
cnf(s4132,plain,
( ~ spl0_307
| spl0_91
| ~ spl0_195
| spl0_141
| ~ spl0_95 ),
inference(rat,[],[s3718,s3385,s2995]) ).
cnf(s4133,plain,
( ~ spl0_181
| ~ spl0_192
| ~ spl0_29
| ~ spl0_17
| spl0_13
| spl0_136
| ~ spl0_309
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1660,s1659,s1201,s700,s1484,s2529,s4132,s2427,s3075,s314,s2458,s513,s471,s1609,s574,s4124,s5,s2074,s3048,s3381,s1954,s1533,s310,s3994,s2109,s2322,s4013,s4127,s3707,s3652,s12,s19,s3947,s2847,s296,s778]) ).
cnf(s4134,plain,
( spl0_61
| ~ spl0_33
| ~ spl0_24
| ~ spl0_148
| ~ spl0_147
| ~ spl0_17
| spl0_313
| ~ spl0_2 ),
inference(rat,[],[s3386,s1602,s2501,s1466]) ).
cnf(s4135,plain,
( ~ spl0_192
| spl0_13
| spl0_136
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1717,s1566,s1671,s700,s3751,s1484,s2529,s2427,s4132,s3263,s314,s2510,s513,s471,s480,s3231,s1964,s4134,s406,s4133,s23,s2322,s3652,s134,s4013,s3247,s12,s3947,s310,s4127,s2847,s3994,s1251,s19,s9,s4126,s387,s3042,s2055,s4131,s296,s1847]) ).
cnf(s4136,plain,
( ~ spl0_10
| spl0_148
| spl0_223
| spl0_13
| ~ spl0_309
| ~ spl0_6 ),
inference(rat,[],[s1954,s3340,s450,s1284,s296]) ).
cnf(s4137,plain,
( spl0_148
| spl0_13
| spl0_136
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4073,s4082,s5,s4136,s1695,s3240,s1533,s2482,s2055,s19,s436,s1290,s1540,s1296,s4135,s246]) ).
cnf(s4138,plain,
( ~ spl0_181
| ~ spl0_148
| spl0_192
| ~ spl0_29
| spl0_13
| ~ spl0_177
| spl0_136
| ~ spl0_309
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3263,s2510,s2427,s513,s471,s480,s1609,s2387,s574,s1501,s4124,s453,s5,s3048,s3381,s1954,s1533,s4126,s296,s778]) ).
cnf(s4139,plain,
( spl0_13
| spl0_136
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s946,s974,s699,s3746,s3715,s700,s4078,s3048,s15,s1695,s5,s3521,s1810,s402,s406,s4138,s4137,s1540,s1296,s436,s4135,s4131,s1533,s2482,s2055,s387,s3042,s296,s246]) ).
cnf(s4140,plain,
( ~ spl0_10
| spl0_396
| spl0_397
| spl0_181
| spl0_144
| ~ spl0_309
| spl0_313
| ~ spl0_6 ),
inference(rat,[],[s3626,s1884,s699,s2913,s3715,s3274,s700,s3961,s921,s2996,s926,s450,s576,s1533,s2482,s406,s296]) ).
cnf(s4141,plain,
( spl0_181
| spl0_144
| spl0_136
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3626,s1884,s699,s2913,s3715,s3274,s700,s4078,s921,s3048,s5,s4140,s3717,s1810,s3634,s406,s1533,s2482,s2055,s296]) ).
cnf(s4142,plain,
( ~ spl0_68
| spl0_146
| spl0_308
| ~ spl0_10
| ~ spl0_135
| ~ spl0_13
| ~ spl0_309
| ~ spl0_6 ),
inference(rat,[],[s2167,s3055,s3347,s902,s1706]) ).
cnf(s4143,plain,
( ~ spl0_36
| spl0_148
| ~ spl0_192
| spl0_136
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s476,s513,s471,s4142,s1375,s1232,s1471,s3164,s5,s3947,s3048,s3381,s533,s1954,s511,s1305,s1250,s4141,s3192,s2965,s2055,s387,s3042,s4139,s778]) ).
cnf(s4144,plain,
( ~ spl0_10
| ~ spl0_48
| spl0_181
| spl0_44
| ~ spl0_192
| ~ spl0_13
| spl0_136
| spl0_311
| spl0_313
| ~ spl0_2 ),
inference(rat,[],[s1503,s3990,s402,s450,s576,s2055,s406]) ).
cnf(s4145,plain,
( ~ spl0_195
| ~ spl0_72
| ~ spl0_293
| ~ spl0_278
| ~ spl0_308
| ~ spl0_145
| ~ spl0_263
| ~ spl0_147
| ~ spl0_95
| spl0_148
| ~ spl0_6 ),
inference(rat,[],[s2407,s3629,s3229,s1032,s2107,s3244,s2427,s3526,s2458,s2586,s26,s1650,s246,s1847]) ).
cnf(s4146,plain,
( spl0_148
| ~ spl0_192
| spl0_136
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3182,s972,s4145,s4021,s2669,s1437,s388,s2018,s1444,s3268,s2755,s1236,s2529,s3635,s3274,s1566,s700,s1467,s1213,s4078,s2996,s4068,s3048,s5,s4144,s3717,s699,s23,s3634,s4064,s134,s406,s3247,s3947,s310,s1305,s4127,s2847,s3994,s2980,s1900,s149,s4143,s26,s1650,s1533,s2982,s2482,s2055,s387,s3042,s4139,s296,s1143,s1847]) ).
cnf(s4147,plain,
( ~ spl0_68
| spl0_308
| ~ spl0_10
| ~ spl0_135
| ~ spl0_181
| ~ spl0_309
| ~ spl0_294 ),
inference(rat,[],[s3013,s574,s3347,s902]) ).
cnf(s4148,plain,
( ~ spl0_181
| ~ spl0_36
| ~ spl0_192
| ~ spl0_13
| ~ spl0_177
| spl0_136
| ~ spl0_309
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s476,s513,s471,s4147,s1232,s3164,s5,s3947,s3048,s3381,s533,s1954,s511,s1305,s1250,s1533,s778]) ).
cnf(s4149,plain,
( ~ spl0_10
| spl0_181
| ~ spl0_36
| ~ spl0_148
| ~ spl0_192
| ~ spl0_13
| spl0_136
| spl0_311
| ~ spl0_309
| spl0_313
| ~ spl0_294 ),
inference(rat,[],[s23,s1467,s2634,s1330,s1879,s699,s533,s3715,s3274,s3947,s700,s3164,s3247,s3961,s1232,s1956,s2898,s2996,s926,s450,s576,s387,s3042,s1810,s3717,s3634,s406,s296,s1847]) ).
cnf(s4150,plain,
( ~ spl0_36
| ~ spl0_192
| spl0_136
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s23,s1467,s2634,s1330,s1879,s699,s533,s3715,s3274,s3947,s3247,s700,s3164,s1956,s2898,s4078,s17,s3048,s5,s4149,s3717,s1810,s3634,s406,s4148,s1533,s2482,s1619,s2055,s387,s3042,s4139,s4146,s296,s1847]) ).
cnf(s4151,plain,
( ~ spl0_192
| spl0_136
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3048,s5,s921,s433,s1305,s3778,s1307,s2980,s1900,s149,s4150,s4146,s1533,s4139]) ).
cnf(s4152,plain,
( ~ spl0_10
| spl0_136
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1503,s4003,s402,s450,s576,s2055,s436,s1900,s406,s1305,s2980,s2146,s4151,s1533,s4139]) ).
cnf(s4153,plain,
( spl0_136
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1884,s2259,s1236,s3746,s3274,s1192,s700,s1213,s2898,s4078,s4068,s3048,s5,s4152,s1695,s3717,s1810,s3634,s406,s1305,s2980,s1900,s2146,s407,s436,s4151,s4139,s1533,s2482,s2055,s296,s1143]) ).
cnf(s4154,plain,
( ~ spl0_263
| ~ spl0_303
| ~ spl0_47
| ~ spl0_192
| ~ spl0_318
| ~ spl0_309 ),
inference(rat,[],[s1567,s2750,s3635]) ).
cnf(s4156,plain,
( ~ spl0_195
| spl0_95
| ~ spl0_96
| ~ spl0_192
| ~ spl0_29 ),
inference(rat,[],[s498,s3517,s513,s296,s180]) ).
cnf(s4160,plain,
( spl0_72
| ~ spl0_68
| ~ spl0_135
| ~ spl0_96
| ~ spl0_192
| spl0_313
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s3866,s1919,s348,s3070,s2881,s3013,s1964,s498,s2510,s2901,s296,s180]) ).
cnf(s4161,plain,
( ~ spl0_68
| ~ spl0_135
| ~ spl0_96
| ~ spl0_192
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s414,s2752,s513,s3109,s1538,s2470,s2242,s4160,s1706,s1533,s2055,s3197,s4153]) ).
cnf(s4162,plain,
( ~ spl0_308
| spl0_89
| ~ spl0_195
| spl0_145
| ~ spl0_48
| ~ spl0_192
| ~ spl0_23 ),
inference(rat,[],[s2074,s3075,s2109,s2427,s2557]) ).
cnf(s4163,plain,
( ~ spl0_307
| ~ spl0_36
| spl0_141
| ~ spl0_95
| ~ spl0_195
| spl0_68
| ~ spl0_23
| ~ spl0_29 ),
inference(rat,[],[s2439,s3117,s3658,s3385,s972,s2995]) ).
cnf(s4164,plain,
( spl0_307
| spl0_308
| ~ spl0_47
| ~ spl0_192
| ~ spl0_29
| ~ spl0_318
| ~ spl0_136
| ~ spl0_309
| ~ spl0_2 ),
inference(rat,[],[s3692,s2257,s699,s700,s4154,s1484,s2529,s1317,s296]) ).
cnf(s4165,plain,
( spl0_145
| ~ spl0_192
| spl0_13
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s5,s16,s4136,s2148,s1718,s699,s4125,s2796,s310,s2285,s314,s2423,s4132,s972,s2995,s4164,s4162,s3227,s2465,s2487,s344,s1964,s2458,s498,s4156,s513,s471,s4161,s925,s3381,s2055,s2516,s250,s6,s2120,s3707,s3652,s12,s19,s3947,s523,s3197,s4153,s296,s180,s778,s246]) ).
cnf(s4166,plain,
( spl0_61
| ~ spl0_147
| ~ spl0_96
| ~ spl0_24
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3386,s2242,s2501,s498,s4153,s296,s180]) ).
cnf(s4167,plain,
( ~ spl0_192
| spl0_13
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3937,s2767,s3515,s1228,s2175,s3219,s3244,s3062,s3014,s3949,s2427,s513,s2761,s471,s480,s3231,s4166,s2474,s658,s3247,s395,s2557,s1954,s921,s2996,s4165,s250,s3652,s6,s12,s2120,s523,s1533,s4,s4123,s2055,s3197,s4153,s19,s246,s1847]) ).
cnf(s4168,plain,
( spl0_89
| ~ spl0_68
| ~ spl0_20
| spl0_13
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1742,s2290,s2817,s3146,s699,s4051,s2845,s1696,s2896,s3066,s344,s83,s360,s100,s2242,s3348,s3386,s1998,s2107,s3244,s2516,s19,s3247,s2166,s1900,s2146,s4167,s2586,s26,s1650,s2722,s2471,s4153,s1780,s2055,s296,s246,s1847]) ).
cnf(s4169,plain,
( spl0_303
| ~ spl0_308
| ~ spl0_95
| spl0_111
| ~ spl0_193
| ~ spl0_2 ),
inference(rat,[],[s1192,s1213,s700,s2995,s2318,s1236,s2529,s1143,s296]) ).
cnf(s4170,plain,
( ~ spl0_278
| ~ spl0_303
| ~ spl0_181
| ~ spl0_294 ),
inference(rat,[],[s1660,s1659]) ).
cnf(s4171,plain,
( ~ spl0_293
| spl0_148
| ~ spl0_20
| spl0_44
| ~ spl0_136
| spl0_311 ),
inference(rat,[],[s4030,s699,s1742,s1085,s3247,s2166,s296,s1847]) ).
cnf(s4172,plain,
( ~ spl0_68
| ~ spl0_20
| ~ spl0_181
| spl0_13
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s574,s100,s2663,s3066,s3055,s902,s4169,s3028,s83,s2510,s2875,s1707,s4168,s1706,s407,s1954,s2166,s1695,s3240,s436,s4170,s3487,s4171,s1900,s2146,s2482,s5,s4136,s2722,s2471,s4153,s1290,s4167,s2055,s1533,s296,s246]) ).
cnf(s4174,plain,
( spl0_286
| spl0_354
| ~ spl0_147
| spl0_148 ),
inference(rat,[],[s2110,s1220]) ).
cnf(s4175,plain,
( ~ spl0_264
| ~ spl0_61
| ~ spl0_89
| spl0_406
| ~ spl0_147
| spl0_148 ),
inference(rat,[],[s1721,s1887,s2910,s2817,s3146,s2586,s1847]) ).
cnf(s4176,plain,
( ~ spl0_263
| ~ spl0_369
| ~ spl0_164
| ~ spl0_286
| spl0_407
| ~ spl0_349
| spl0_111
| ~ spl0_193 ),
inference(rat,[],[s1192,s700,s1213,s2006,s1815,s1911,s4031,s4051,s2011,s296,s1143]) ).
cnf(s4177,plain,
( ~ spl0_264
| ~ spl0_164
| spl0_406
| ~ spl0_195
| ~ spl0_307
| spl0_293
| ~ spl0_147
| spl0_148
| spl0_145
| ~ spl0_181 ),
inference(rat,[],[s3937,s574,s2412,s3385,s1815,s2285,s2910,s2864,s2796,s3146,s2586,s26,s1650,s1847]) ).
cnf(s4178,plain,
( ~ spl0_164
| ~ spl0_286
| spl0_407
| spl0_365
| ~ spl0_75
| spl0_406
| ~ spl0_195
| ~ spl0_349
| ~ spl0_307
| ~ spl0_278
| spl0_293
| spl0_149
| spl0_148
| spl0_111
| spl0_145
| ~ spl0_181
| ~ spl0_193
| ~ spl0_136 ),
inference(rat,[],[s307,s1059,s100,s2440,s3066,s3502,s1696,s4176,s2306,s699,s4177,s3381,s3247,s296,s1847,s778]) ).
cnf(s4179,plain,
( ~ spl0_264
| spl0_417
| spl0_406
| ~ spl0_195
| ~ spl0_307
| spl0_148 ),
inference(rat,[],[s3385,s1215,s2910,s2843,s3146]) ).
cnf(s4180,plain,
( ~ spl0_20
| ~ spl0_181
| spl0_13
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2910,s1911,s1418,s699,s4179,s1696,s3344,s2840,s3244,s3260,s4178,s4174,s2590,s3028,s2790,s83,s2510,s513,s2273,s2761,s471,s480,s4172,s1236,s2529,s4170,s3487,s4171,s5,s4136,s2109,s3247,s2722,s2166,s2471,s1533,s2482,s3197,s4153,s19,s436,s407,s1290,s1900,s2146,s4167,s1954,s2055,s296,s246,s1847]) ).
cnf(s4181,plain,
( spl0_111
| ~ spl0_347
| spl0_303
| ~ spl0_68
| ~ spl0_308
| ~ spl0_48
| spl0_145
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s3244,s2875,s2268,s4169,s407,s2146,s246]) ).
cnf(s4182,plain,
( spl0_303
| spl0_58
| ~ spl0_141
| ~ spl0_68
| ~ spl0_288
| ~ spl0_308
| ~ spl0_48
| spl0_145
| spl0_192
| ~ spl0_29
| ~ spl0_2 ),
inference(rat,[],[s2161,s2110,s1919,s3674,s2247,s4181,s1881,s2304,s699,s2796,s2285,s2412,s3740,s700,s1215,s972,s2318,s2529,s3381,s100,s296,s778]) ).
cnf(s4183,plain,
( ~ spl0_61
| spl0_406
| spl0_301
| spl0_58
| spl0_164
| ~ spl0_288
| ~ spl0_17
| ~ spl0_29 ),
inference(rat,[],[s414,s2012,s3260,s2285,s2408,s3735,s3256,s2407,s2910,s2412,s3499,s2502,s100]) ).
cnf(s4184,plain,
( ~ spl0_68
| ~ spl0_181
| spl0_13
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1621,s1801,s2110,s414,s1538,s2161,s2470,s513,s2242,s2556,s498,s73,s4183,s2168,s4170,s4108,s973,s4182,s100,s574,s1609,s1706,s1790,s3197,s4153,s2146,s250,s6,s2120,s2387,s1954,s2055,s4093,s1501,s3808,s436,s4167,s3707,s3652,s12,s19,s3947,s4180,s1533,s296,s180,s246]) ).
cnf(s4185,plain,
( spl0_303
| spl0_141
| ~ spl0_174
| ~ spl0_195
| ~ spl0_119
| ~ spl0_2 ),
inference(rat,[],[s2317,s2326,s3385,s1236,s2529]) ).
cnf(s4186,plain,
( ~ spl0_181
| spl0_13
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s700,s4088,s1591,s3344,s117,s3244,s2081,s2458,s4170,s4108,s4185,s574,s100,s3066,s3028,s3191,s83,s2510,s2427,s513,s471,s480,s4184,s4093,s2387,s1501,s3808,s3707,s3652,s12,s3947,s4180,s3381,s1954,s1533,s2055,s3197,s4153,s19,s436,s407,s2146,s4167,s296,s246,s778]) ).
cnf(s4187,plain,
( ~ spl0_20
| ~ spl0_68
| spl0_13
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1721,s2440,s1887,s1167,s2627,s499,s4171,s3260,s1707,s2722,s4168,s2471,s2482,s2055,s4153,s1900,s15,s2600,s406,s4186,s1540,s1296,s1790,s2146,s4167,s1706,s246]) ).
cnf(s4188,plain,
( spl0_293
| ~ spl0_27
| spl0_422
| ~ spl0_136 ),
inference(rat,[],[s699,s2148,s2290,s296]) ).
cnf(s4189,plain,
( ~ spl0_68
| spl0_13
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4083,s4092,s699,s1085,s4188,s1501,s3707,s3652,s16,s12,s3947,s4187,s1533,s1251,s2482,s2055,s2516,s3197,s4153,s19,s9,s436,s2146,s2919,s5,s402,s15,s2600,s406,s4186,s1540,s1296,s4167,s296,s246]) ).
cnf(s4190,plain,
( ~ spl0_20
| ~ spl0_286
| ~ spl0_61
| ~ spl0_83
| ~ spl0_119
| ~ spl0_25
| ~ spl0_9
| spl0_422
| ~ spl0_198
| spl0_44
| ~ spl0_193
| ~ spl0_318
| ~ spl0_136
| ~ spl0_309
| ~ spl0_6 ),
inference(rat,[],[s2502,s4031,s4176,s1696,s3011,s1236,s921,s2750,s3626,s1885,s699,s2590,s1167,s2290,s3487,s4171,s2722,s2166,s2471,s2482,s296]) ).
cnf(s4191,plain,
( spl0_13
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1718,s1929,s4083,s2336,s699,s1501,s1705,s1085,s3707,s4188,s3652,s16,s12,s3947,s4190,s2381,s499,s2531,s2510,s513,s471,s480,s4189,s15,s5,s2919,s2600,s402,s406,s413,s4186,s1540,s1900,s1296,s2146,s407,s436,s4167,s9,s19,s1533,s1251,s2482,s2055,s2516,s3197,s4153,s296,s246]) ).
cnf(s4192,plain,
( spl0_148
| spl0_303
| ~ spl0_181
| ~ spl0_68
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2752,s3109,s414,s1538,s513,s2242,s314,s3056,s902,s2318,s700,s2913,s2757,s2965,s149,s3947,s523,s3197,s4153,s319,s4161,s2146,s2980,s1305,s4191,s1533,s3381,s1954,s2055,s296,s778]) ).
cnf(s4193,plain,
( spl0_303
| ~ spl0_181
| ~ spl0_68
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2318,s700,s4147,s1201,s5,s3487,s2749,s2498,s4192,s1467,s23,s134,s1167,s972,s2505,s2529,s3381,s1954,s2055,s3947,s523,s2146,s2980,s1305,s4191,s1533,s3197,s4153,s296,s778]) ).
cnf(s4194,plain,
( spl0_72
| spl0_195
| ~ spl0_48
| ~ spl0_36
| ~ spl0_192
| ~ spl0_135
| spl0_143
| ~ spl0_68
| ~ spl0_13
| spl0_313
| ~ spl0_2 ),
inference(rat,[],[s3866,s1919,s348,s3070,s2881,s2167,s1964,s499,s3164,s387,s3820,s2510,s2901,s296]) ).
cnf(s4195,plain,
( spl0_195
| ~ spl0_181
| ~ spl0_68
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3109,s2752,s1538,s2470,s2242,s4194,s414,s1706,s3381,s1954,s2055,s149,s3947,s523,s2146,s2980,s1305,s4191,s1533,s3197,s4153,s778]) ).
cnf(s4196,plain,
( ~ spl0_275
| ~ spl0_195
| ~ spl0_68
| ~ spl0_309 ),
inference(rat,[],[s902,s2427]) ).
cnf(s4197,plain,
( ~ spl0_181
| ~ spl0_68
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3013,s574,s100,s1991,s2580,s2976,s2510,s2753,s513,s4195,s4170,s2664,s4193,s1533,s3197,s4153,s296]) ).
cnf(s4198,plain,
( ~ spl0_25
| spl0_72
| spl0_301
| spl0_293
| spl0_195
| ~ spl0_22
| spl0_143
| ~ spl0_13 ),
inference(rat,[],[s2440,s4024,s3499,s2167,s1167,s499]) ).
cnf(s4199,plain,
( spl0_72
| spl0_303
| spl0_195
| ~ spl0_192
| ~ spl0_68
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3056,s4052,s2708,s2980,s1900,s149,s314,s3164,s310,s4198,s387,s3820,s1533,s2516,s1706,s406,s3947,s523,s972,s2529,s3197,s4153,s975,s964,s395,s4197,s4,s4123,s4191,s877]) ).
cnf(s4200,plain,
( ~ spl0_72
| ~ spl0_84
| spl0_143
| ~ spl0_136
| ~ spl0_309
| spl0_313
| ~ spl0_6 ),
inference(rat,[],[s3109,s2752,s1538,s2470,s2242]) ).
cnf(s4201,plain,
( ~ spl0_36
| ~ spl0_303
| spl0_72
| spl0_195
| ~ spl0_48
| ~ spl0_192
| ~ spl0_198
| spl0_143
| ~ spl0_68
| ~ spl0_13
| ~ spl0_136
| spl0_311
| spl0_313
| ~ spl0_2 ),
inference(rat,[],[s2397,s1336,s4174,s1816,s3070,s3247,s3763,s1964,s2898,s3711,s699,s499,s3381,s4154,s3164,s4194,s3177,s2055,s2516,s387,s3820,s1109,s1847,s296,s778]) ).
cnf(s4202,plain,
( spl0_195
| ~ spl0_192
| ~ spl0_68
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s314,s3056,s496,s4052,s3231,s2708,s2980,s1900,s149,s4201,s4199,s4200,s414,s1533,s2482,s2055,s2516,s4191,s1706,s413,s4197,s3947,s523,s3197,s4153,s180]) ).
cnf(s4204,plain,
( ~ spl0_148
| spl0_275
| spl0_72
| ~ spl0_22
| ~ spl0_68
| ~ spl0_13
| ~ spl0_318
| ~ spl0_136
| spl0_313 ),
inference(rat,[],[s3348,s100,s2381,s3066,s2531,s3028,s2669,s3711,s1307,s2498,s3763,s2510,s83,s296]) ).
cnf(s4205,plain,
( ~ spl0_192
| ~ spl0_68
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3229,s3109,s3244,s3070,s3949,s1964,s500,s314,s3056,s4204,s4196,s513,s4202,s3947,s523,s2055,s2516,s3197,s4153,s4191,s406,s4197,s246]) ).
cnf(s4207,plain,
( ~ spl0_20
| spl0_208
| spl0_195
| spl0_146
| spl0_396
| spl0_148
| spl0_44
| ~ spl0_22
| spl0_306
| ~ spl0_68
| ~ spl0_13
| ~ spl0_318
| ~ spl0_136
| spl0_311 ),
inference(rat,[],[s2440,s3841,s3050,s4024,s700,s3348,s4077,s3120,s4171,s533,s2166,s296]) ).
cnf(s4208,plain,
( spl0_286
| spl0_208
| spl0_171
| ~ spl0_13
| spl0_311 ),
inference(rat,[],[s2898,s3120,s3227]) ).
cnf(s4209,plain,
( spl0_195
| spl0_72
| ~ spl0_95
| spl0_44
| ~ spl0_17
| ~ spl0_50
| spl0_181
| ~ spl0_68
| ~ spl0_13
| ~ spl0_136
| spl0_311
| spl0_313
| ~ spl0_2 ),
inference(rat,[],[s4068,s5,s2862,s402,s699,s2682,s4051,s3792,s1696,s3348,s4208,s3056,s2347,s2356,s3779,s4207,s2687,s2465,s2624,s2698,s2618,s1780,s2055,s3729,s3238,s406,s1695,s3240,s2708,s2516,s296]) ).
cnf(s4210,plain,
( spl0_275
| spl0_146
| spl0_396
| spl0_143
| ~ spl0_13 ),
inference(rat,[],[s2167,s3055,s3050]) ).
cnf(s4211,plain,
( ~ spl0_68
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4209,s4196,s2470,s4210,s1695,s3240,s3729,s2708,s2980,s1900,s3238,s2146,s436,s4205,s406,s4197,s1706,s1533,s2482,s2055,s2516,s4153,s4191]) ).
cnf(s4212,plain,
( spl0_303
| ~ spl0_147
| ~ spl0_369
| spl0_144
| spl0_148
| ~ spl0_286
| ~ spl0_60
| spl0_95
| ~ spl0_192
| ~ spl0_83
| ~ spl0_29
| ~ spl0_2 ),
inference(rat,[],[s1367,s1214,s1911,s4031,s699,s4030,s3503,s2590,s700,s2505,s972,s2913,s2529,s3947,s523,s296]) ).
cnf(s4213,plain,
( spl0_148
| spl0_436
| ~ spl0_286
| ~ spl0_36
| spl0_145
| spl0_95
| ~ spl0_181
| ~ spl0_192
| ~ spl0_195
| ~ spl0_29
| ~ spl0_309
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s3487,s5,s972,s1201,s3282,s700,s1967,s4170,s4212,s2283,s3247,s2978,s1696,s2427,s3056,s2757,s2510,s3381,s73,s314,s319,s4156,s1466,s23,s134,s476,s513,s3947,s523,s3517,s296,s1847,s778]) ).
cnf(s4214,plain,
( ~ spl0_181
| ~ spl0_192
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3937,s307,s3066,s1270,s2280,s2498,s4213,s1466,s23,s2965,s1614,s134,s149,s3028,s3381,s3517,s476,s2980,s1954,s1305,s1533,s2055,s4191,s2761,s480,s2510,s83,s513,s471,s4211,s3947,s12,s523,s3197,s4153,s778,s296]) ).
cnf(s4215,plain,
( ~ spl0_36
| ~ spl0_369
| ~ spl0_286
| ~ spl0_9
| spl0_422
| spl0_308
| spl0_148
| ~ spl0_198
| ~ spl0_192
| ~ spl0_83
| ~ spl0_13
| ~ spl0_29
| ~ spl0_136
| spl0_313
| ~ spl0_2 ),
inference(rat,[],[s1372,s700,s2309,s1214,s2913,s2259,s1911,s4031,s4154,s2306,s699,s2290,s3487,s3503,s2590,s972,s4164,s2757,s3177,s2965,s2055,s2516,s3947,s523,s296]) ).
cnf(s4216,plain,
( ~ spl0_275
| spl0_148
| ~ spl0_192
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s314,s310,s1932,s16,s699,s4188,s2864,s1431,s3247,s4068,s4127,s2980,s1900,s149,s4215,s1696,s2381,s401,s5,s2531,s2032,s2919,s402,s1540,s1503,s3424,s2427,s1533,s2055,s4191,s2510,s513,s471,s4211,s3947,s523,s3197,s4153,s413,s406,s4214,s2586,s26,s1650,s296,s1847,s778]) ).
cnf(s4217,plain,
( spl0_148
| ~ spl0_192
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2767,s3244,s100,s3949,s2175,s3515,s500,s1228,s2898,s921,s314,s3219,s3011,s3056,s3062,s3014,s4216,s2482,s2055,s4191,s2761,s480,s2510,s513,s471,s4211,s3947,s523,s3197,s4153,s413,s4214,s246,s296]) ).
cnf(s4218,plain,
( ~ spl0_192
| spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s314,s310,s1932,s16,s699,s2749,s4188,s2290,s3487,s1696,s972,s2381,s4164,s2427,s5,s2531,s2919,s3177,s3011,s433,s2669,s149,s3711,s1307,s2708,s2498,s3763,s4217,s406,s413,s4214,s3947,s523,s2055,s2516,s4191,s480,s2510,s513,s471,s4211,s3197,s4153,s296]) ).
cnf(s4219,plain,
( spl0_308
| ~ spl0_95
| spl0_44
| spl0_192
| ~ spl0_13
| ~ spl0_136
| spl0_311
| spl0_313
| ~ spl0_2 ),
inference(rat,[],[s1085,s699,s4188,s2864,s17,s4068,s15,s5,s2919,s2600,s402,s1540,s3247,s1503,s1482,s3424,s2055,s2586,s406,s1305,s26,s1650,s2708,s2146,s2516,s296,s1847,s778]) ).
cnf(s4220,plain,
( spl0_313
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2898,s3344,s3011,s2427,s4219,s3244,s413,s2458,s1305,s2980,s1900,s2146,s407,s4218,s2510,s513,s471,s480,s4211,s4191,s3197,s4153,s2482,s2055,s1533,s246,s296]) ).
cnf(s4221,plain,
( ~ spl0_181
| ~ spl0_107
| spl0_286
| ~ spl0_309
| ~ spl0_68
| ~ spl0_344
| ~ spl0_6 ),
inference(rat,[],[s3013,s574,s2083,s1920,s3381,s1954,s1533,s778]) ).
cnf(s4222,plain,
( ~ spl0_309
| ~ spl0_68
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_313
| ~ spl0_7
| ~ spl0_6 ),
inference(rat,[],[s2078,s330,s3048,s3057,s111,s15,s5,s2627,s2600,s402,s1540,s1296,s4127,s4013,s1568,s1006,s2474,s658,s395,s406,s4221,s2190,s1553,s1780,s1027,s1233,s246,s778]) ).
cnf(s4223,plain,
( spl0_148
| ~ spl0_30
| ~ spl0_36
| ~ spl0_275
| ~ spl0_83
| ~ spl0_181
| spl0_309
| ~ spl0_68
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_313
| ~ spl0_294 ),
inference(rat,[],[s4170,s3274,s2913,s700,s1371,s3866,s2556,s1909,s1697,s360,s3013,s2072,s2295,s2404,s1898,s3192,s1687,s4013,s1548,s2858,s19,s296]) ).
cnf(s4224,plain,
( ~ spl0_36
| ~ spl0_275
| spl0_72
| ~ spl0_192
| ~ spl0_181
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s5,s4124,s3048,s3381,s921,s3954,s2848,s523,s3947,s3164,s1515,s1667,s4223,s3163,s1533,s19,s4222,s471,s4220,s4,s4123,s2510,s387,s3820,s778,s296]) ).
cnf(s4225,plain,
( ~ spl0_17
| spl0_72
| ~ spl0_192
| ~ spl0_68
| spl0_13
| ~ spl0_12
| ~ spl0_6 ),
inference(rat,[],[s498,s250,s3231,s2847,s296,s180,s246]) ).
cnf(s4226,plain,
( ~ spl0_58
| ~ spl0_181
| ~ spl0_68
| ~ spl0_294 ),
inference(rat,[],[s3013,s574]) ).
cnf(s4227,plain,
( spl0_72
| ~ spl0_275
| ~ spl0_192
| ~ spl0_181
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s149,s4224,s4225,s6,s1534,s471]) ).
cnf(s4228,plain,
( ~ spl0_307
| ~ spl0_395
| ~ spl0_95
| ~ spl0_36
| ~ spl0_29
| ~ spl0_23 ),
inference(rat,[],[s3658,s2439,s2995,s972]) ).
cnf(s4229,plain,
( spl0_148
| ~ spl0_306
| spl0_308
| spl0_343
| ~ spl0_36
| spl0_113
| ~ spl0_29
| ~ spl0_275
| ~ spl0_192
| spl0_309
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s2890,s700,s2443,s2014,s4228,s2362,s699,s4036,s1696,s2072,s2295,s1867,s2404,s2174,s1483,s1898,s4013,s1548,s19,s414,s471,s1255,s296]) ).
cnf(s4230,plain,
( ~ spl0_307
| ~ spl0_147
| spl0_95
| spl0_308
| ~ spl0_24
| ~ spl0_192
| ~ spl0_313 ),
inference(rat,[],[s2686,s699,s2505,s2057,s296]) ).
cnf(s4231,plain,
( ~ spl0_36
| ~ spl0_275
| ~ spl0_192
| ~ spl0_181
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3740,s700,s1816,s2014,s2529,s4230,s1964,s2363,s2501,s1718,s3353,s3247,s2178,s2247,s1667,s4229,s2078,s1955,s1635,s1514,s360,s2383,s3163,s414,s1255,s4222,s4,s4123,s1851,s100,s2569,s4220,s1812,s4226,s471,s1533,s3707,s3652,s12,s19,s3947,s523,s3182,s4227,s296,s1847]) ).
cnf(s4232,plain,
( ~ spl0_275
| ~ spl0_192
| ~ spl0_181
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2190,s2083,s2072,s2069,s1609,s3231,s149,s4231,s3707,s3652,s12,s3947,s523,s3182,s4227,s4220,s19,s4226,s471,s1533]) ).
cnf(s4233,plain,
( ~ spl0_192
| ~ spl0_181
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3052,s2247,s12,s1687,s523,s3050,s4071,s4232,s2569,s19,s2641,s4222,s4220,s4,s4123,s414,s100,s4226,s471,s1533]) ).
cnf(s4234,plain,
( spl0_145
| spl0_148
| spl0_13
| spl0_136 ),
inference(rat,[],[s1284,s5,s3340,s3048,s296]) ).
cnf(s4235,plain,
( spl0_293
| spl0_422
| ~ spl0_9
| spl0_308
| ~ spl0_181
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2529,s2057,s4170,s699,s3487,s2290,s1533,s4220,s296]) ).
cnf(s4236,plain,
( spl0_286
| ~ spl0_29
| spl0_308
| spl0_396
| ~ spl0_111
| spl0_148
| ~ spl0_275
| ~ spl0_193
| spl0_58
| ~ spl0_181
| ~ spl0_120
| spl0_13
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3274,s700,s4170,s1682,s2529,s1431,s972,s4235,s2845,s388,s2896,s1444,s5,s360,s2774,s374,s1697,s2174,s1909,s1224,s1533,s19,s2586,s296,s246,s1847]) ).
cnf(s4237,plain,
( spl0_148
| spl0_72
| ~ spl0_275
| ~ spl0_181
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1150,s700,s3487,s2899,s1742,s1204,s722,s5,s250,s699,s453,s498,s4036,s1609,s1850,s1696,s2072,s4236,s2848,s1955,s921,s4234,s3836,s3833,s412,s24,s1687,s4013,s1548,s2586,s1233,s6,s1534,s19,s414,s1255,s4222,s4220,s4,s4123,s4226,s471,s1533,s407,s1900,s2146,s4233,s296,s246,s180,s1847,s778]) ).
cnf(s4239,plain,
( ~ spl0_303
| ~ spl0_29
| ~ spl0_20
| ~ spl0_9
| spl0_95
| spl0_44
| ~ spl0_17
| ~ spl0_50
| ~ spl0_181
| ~ spl0_294 ),
inference(rat,[],[s23,s3809,s1467,s1445,s1742,s3487,s3204,s4170]) ).
cnf(s4240,plain,
( spl0_72
| ~ spl0_275
| ~ spl0_181
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3807,s1150,s700,s3487,s2899,s699,s972,s2057,s2529,s4239,s3361,s1955,s3947,s3048,s2852,s5,s26,s360,s374,s1258,s1602,s1667,s4237,s387,s3820,s1233,s19,s1255,s4222,s4,s4123,s4226,s471,s1533,s436,s1900,s2146,s4233,s2001,s4220,s296,s246,s778]) ).
cnf(s4242,plain,
( ~ spl0_468
| spl0_374
| ~ spl0_148
| spl0_309 ),
inference(rat,[],[s3869,s1847]) ).
cnf(s4243,plain,
( ~ spl0_311
| ~ spl0_468
| ~ spl0_20
| spl0_309 ),
inference(rat,[],[s3840,s1847]) ).
cnf(s4244,plain,
( ~ spl0_61
| ~ spl0_306
| spl0_309
| ~ spl0_468 ),
inference(rat,[],[s3839,s1847]) ).
cnf(s4247,plain,
( ~ spl0_468
| spl0_316
| spl0_309
| ~ spl0_313 ),
inference(rat,[],[s3836,s1847]) ).
cnf(s4248,plain,
( spl0_111
| ~ spl0_468
| spl0_309 ),
inference(rat,[],[s3835,s1847]) ).
cnf(s4249,plain,
( spl0_58
| ~ spl0_435
| spl0_195 ),
inference(rat,[],[s3792,s296]) ).
cnf(s4250,plain,
( ~ spl0_435
| spl0_192
| spl0_13 ),
inference(rat,[],[s3791,s246]) ).
cnf(s4251,plain,
( spl0_269
| spl0_288 ),
inference(rat,[],[s3782,s3593]) ).
cnf(s4253,plain,
( ~ spl0_246
| spl0_17
| spl0_20 ),
inference(rat,[],[s3703,s246]) ).
cnf(s4256,plain,
( spl0_6
| spl0_58
| ~ spl0_1
| spl0_68 ),
inference(rat,[],[s3650,s296]) ).
cnf(s4258,plain,
( spl0_68
| ~ spl0_263
| ~ spl0_1
| ~ spl0_286
| spl0_303
| spl0_306 ),
inference(rat,[],[s3639,s1109]) ).
cnf(s4259,plain,
( spl0_68
| ~ spl0_1
| ~ spl0_61
| ~ spl0_286
| spl0_303
| ~ spl0_376 ),
inference(rat,[],[s3638,s1109]) ).
cnf(s4262,plain,
( spl0_68
| ~ spl0_263
| ~ spl0_1
| ~ spl0_266
| ~ spl0_286
| spl0_303 ),
inference(rat,[],[s3621,s1109]) ).
cnf(s4286,plain,
( ~ spl0_393
| spl0_89
| spl0_192 ),
inference(rat,[],[s3401,s180]) ).
cnf(s4287,plain,
( ~ spl0_393
| spl0_275
| spl0_313 ),
inference(rat,[],[s3400,s1412]) ).
cnf(s4294,plain,
( spl0_135
| spl0_145 ),
inference(rat,[],[s3381,s778]) ).
cnf(s4302,plain,
( ~ spl0_235
| spl0_145
| spl0_148 ),
inference(rat,[],[s3340,s296]) ).
cnf(s4305,plain,
( ~ spl0_246
| spl0_72
| spl0_68 ),
inference(rat,[],[s3320,s296]) ).
cnf(s4308,plain,
( spl0_276
| spl0_286 ),
inference(rat,[],[s3251,s1412]) ).
cnf(s4309,plain,
( spl0_111
| spl0_147 ),
inference(rat,[],[s3247,s1847]) ).
cnf(s4310,plain,
( spl0_82
| spl0_89 ),
inference(rat,[],[s3244,s246]) ).
cnf(s4316,plain,
( ~ spl0_385
| spl0_391
| spl0_313
| ~ spl0_286 ),
inference(rat,[],[s3069,s1847]) ).
cnf(s4328,plain,
( ~ spl0_302
| spl0_307
| ~ spl0_58
| ~ spl0_435 ),
inference(rat,[],[s2657,s877]) ).
cnf(s4331,plain,
( spl0_148
| spl0_285 ),
inference(rat,[],[s2586,s1847]) ).
cnf(s4336,plain,
( spl0_72
| spl0_83 ),
inference(rat,[],[s2510,s296]) ).
cnf(s4352,plain,
( ~ spl0_246
| ~ spl0_391
| ~ spl0_20
| spl0_309
| ~ spl0_72 ),
inference(rat,[],[s1853,s778]) ).
cnf(s4353,plain,
( ~ spl0_246
| spl0_309
| spl0_136 ),
inference(rat,[],[s1852,s778]) ).
cnf(s4361,plain,
( ~ spl0_101
| spl0_145
| spl0_136
| spl0_313 ),
inference(rat,[],[s1545,s778]) ).
cnf(s4362,plain,
( ~ spl0_101
| ~ spl0_102
| spl0_136
| ~ spl0_236
| spl0_313 ),
inference(rat,[],[s3892,s778]) ).
cnf(s4365,plain,
( spl0_6
| spl0_136
| ~ spl0_323 ),
inference(rat,[],[s1463,s778]) ).
cnf(s4366,plain,
( spl0_6
| ~ spl0_181
| spl0_318
| ~ spl0_323 ),
inference(rat,[],[s1462,s778]) ).
cnf(s4367,plain,
( spl0_369
| ~ spl0_286
| spl0_136
| ~ spl0_79 ),
inference(rat,[],[s1460,s1412,s778]) ).
cnf(s4374,plain,
( spl0_275
| spl0_281 ),
inference(rat,[],[s1364,s180]) ).
cnf(s4376,plain,
( spl0_283
| spl0_348 ),
inference(rat,[],[s1336,s1109]) ).
cnf(s4382,plain,
( ~ spl0_190
| spl0_192
| spl0_13 ),
inference(rat,[],[s1296,s246]) ).
cnf(s4383,plain,
( ~ spl0_223
| spl0_192
| spl0_13 ),
inference(rat,[],[s1290,s246]) ).
cnf(s4388,plain,
( spl0_136
| spl0_344 ),
inference(rat,[],[s1233,s778]) ).
cnf(s4389,plain,
( spl0_284
| spl0_350 ),
inference(rat,[],[s1213,s1143]) ).
cnf(s4397,plain,
( ~ spl0_246
| ~ spl0_263
| ~ spl0_136
| spl0_303
| spl0_311 ),
inference(rat,[],[s1154,s877]) ).
cnf(s4416,plain,
( spl0_145
| ~ spl0_186
| spl0_309 ),
inference(rat,[],[s997,s778]) ).
cnf(s4419,plain,
( spl0_145
| ~ spl0_217
| spl0_309 ),
inference(rat,[],[s988,s778]) ).
cnf(s4426,plain,
( spl0_278
| ~ spl0_217
| spl0_303 ),
inference(rat,[],[s965,s877]) ).
cnf(s4427,plain,
( spl0_278
| ~ spl0_186
| spl0_303 ),
inference(rat,[],[s964,s877]) ).
cnf(s4431,plain,
( spl0_278
| ~ spl0_223
| spl0_307 ),
inference(rat,[],[s955,s877]) ).
cnf(s4436,plain,
( spl0_148
| spl0_285 ),
inference(rat,[],[s936,s296]) ).
cnf(s4437,plain,
( spl0_145
| ~ spl0_190
| spl0_313 ),
inference(rat,[],[s930,s778]) ).
cnf(s4439,plain,
( spl0_145
| ~ spl0_223
| spl0_313 ),
inference(rat,[],[s925,s778]) ).
cnf(s4442,plain,
( ~ spl0_236
| ~ spl0_288
| ~ spl0_186
| spl0_303 ),
inference(rat,[],[s912,s877]) ).
cnf(s4453,plain,
( spl0_111
| spl0_147 ),
inference(rat,[],[s798,s296]) ).
cnf(s4454,plain,
( spl0_265
| spl0_266 ),
inference(rat,[],[s700,s296]) ).
cnf(s4455,plain,
( spl0_263
| spl0_264 ),
inference(rat,[],[s699,s296]) ).
cnf(s4475,plain,
( ~ spl0_102
| spl0_61
| spl0_72
| spl0_195 ),
inference(rat,[],[s503,s180,s296]) ).
cnf(s4476,plain,
( spl0_86
| spl0_72
| ~ spl0_12
| ~ spl0_70 ),
inference(rat,[],[s501,s296]) ).
cnf(s4478,plain,
( spl0_61
| ~ spl0_96
| spl0_72 ),
inference(rat,[],[s498,s180,s296]) ).
cnf(s4480,plain,
( ~ spl0_51
| spl0_61
| spl0_72 ),
inference(rat,[],[s496,s180]) ).
cnf(s4483,plain,
( ~ spl0_102
| spl0_61
| spl0_72
| spl0_195 ),
inference(rat,[],[s489,s180,s296]) ).
cnf(s4495,plain,
( ~ spl0_143
| spl0_58
| ~ spl0_154
| ~ spl0_20 ),
inference(rat,[],[s457,s180,s296]) ).
cnf(s4497,plain,
( ~ spl0_99
| spl0_61
| spl0_195
| spl0_89 ),
inference(rat,[],[s455,s180]) ).
cnf(s4500,plain,
( ~ spl0_101
| spl0_20
| spl0_13
| spl0_192 ),
inference(rat,[],[s439,s246]) ).
cnf(s4501,plain,
( ~ spl0_101
| spl0_72
| spl0_195
| spl0_58 ),
inference(rat,[],[s435,s296]) ).
cnf(s4512,plain,
( spl0_89
| ~ spl0_10
| spl0_58
| spl0_13 ),
inference(rat,[],[s374,s246]) ).
cnf(s4516,plain,
( spl0_79
| spl0_72
| ~ spl0_12
| spl0_58 ),
inference(rat,[],[s362,s296]) ).
cnf(s4526,plain,
( spl0_79
| spl0_72
| ~ spl0_12
| spl0_58 ),
inference(rat,[],[s315,s296]) ).
cnf(s4528,plain,
( spl0_96
| spl0_20
| ~ spl0_12
| spl0_13 ),
inference(rat,[],[s250,s246]) ).
cnf(s4530,plain,
( spl0_61
| spl0_94 ),
inference(rat,[],[s197,s180]) ).
cnf(s4531,plain,
( spl0_148
| ~ spl0_275
| ~ spl0_181
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3652,s3707,s12,s3947,s1707,s1466,s23,s3809,s1609,s1446,s2072,s1909,s4236,s2078,s1955,s4234,s1687,s4013,s19,s1706,s1255,s4222,s4220,s4,s4123,s4226,s471,s1533,s436,s407,s2146,s4233,s3182,s4240]) ).
cnf(s4532,plain,
( ~ spl0_275
| ~ spl0_181
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s23,s3809,s1466,s1446,s3498,s3947,s2852,s26,s360,s1258,s1602,s4531,s3182,s4240,s2001,s4220,s19,s4226,s471,s1533,s436,s1900,s2146,s4233]) ).
cnf(s4533,plain,
( ~ spl0_181
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2064,s4530,s3075,s2663,s2875,s2072,s1667,s3221,s1687,s416,s3050,s2062,s4532,s2146,s4233,s4226,s1533,s19,s1255,s2641,s4222,s471,s4220,s4,s4123,s414]) ).
cnf(s4534,plain,
( spl0_72
| spl0_156
| ~ spl0_25
| ~ spl0_86
| ~ spl0_316
| ~ spl0_285
| ~ spl0_357
| ~ spl0_120
| ~ spl0_68 ),
inference(rat,[],[s2774,s332,s1850,s330,s499]) ).
cnf(s4535,plain,
( ~ spl0_29
| ~ spl0_25
| ~ spl0_86
| ~ spl0_316
| ~ spl0_9
| ~ spl0_50
| ~ spl0_111
| ~ spl0_285
| ~ spl0_275
| ~ spl0_145
| ~ spl0_357
| ~ spl0_120
| spl0_143
| ~ spl0_68
| spl0_136
| ~ spl0_313 ),
inference(rat,[],[s23,s3809,s1466,s1446,s1707,s1909,s16,s2078,s1348,s4534,s2196]) ).
cnf(s4536,plain,
( spl0_192
| spl0_148
| ~ spl0_275
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1697,s2774,s1909,s1850,s499,s3182,s4535,s15,s111,s4247,s5,s2600,s2627,s3833,s402,s1540,s412,s4382,s436,s1706,s1255,s406,s3187,s413,s4416,s395,s4533,s4331,s4013,s24,s1548,s4222,s471,s4220,s4,s4123]) ).
cnf(s4537,plain,
( spl0_148
| ~ spl0_275
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2110,s2072,s2161,s1609,s307,s3707,s906,s3652,s1207,s2556,s12,s3947,s4225,s3231,s2847,s4536,s1533,s6,s1534,s19,s4416,s4222,s471,s4220,s2474,s658,s395,s4533,s4,s4123]) ).
cnf(s4539,plain,
( ~ spl0_293
| ~ spl0_20
| ~ spl0_203
| ~ spl0_29
| spl0_44 ),
inference(rat,[],[s1445,s1742]) ).
cnf(s4540,plain,
( spl0_58
| ~ spl0_29
| ~ spl0_374
| ~ spl0_276
| ~ spl0_61
| ~ spl0_25
| spl0_40
| ~ spl0_50
| spl0_89
| spl0_164
| spl0_44
| ~ spl0_22
| ~ spl0_198
| ~ spl0_120 ),
inference(rat,[],[s2850,s4455,s2502,s2304,s1167,s4539,s2859,s1698,s22,s360,s3184]) ).
cnf(s4541,plain,
( ~ spl0_29
| ~ spl0_374
| ~ spl0_111
| ~ spl0_276
| ~ spl0_61
| ~ spl0_83
| ~ spl0_25
| spl0_358
| spl0_40
| ~ spl0_50
| spl0_89
| spl0_95
| ~ spl0_275
| spl0_164
| spl0_44
| ~ spl0_17
| ~ spl0_145
| ~ spl0_22
| ~ spl0_198
| ~ spl0_120
| spl0_136
| ~ spl0_2 ),
inference(rat,[],[s2843,s4455,s2502,s2304,s1167,s3281,s1434,s3853,s401,s3767,s2032,s3947,s1204,s906,s307,s4540]) ).
cnf(s4542,plain,
( ~ spl0_288
| spl0_417
| ~ spl0_374
| ~ spl0_61
| spl0_164 ),
inference(rat,[],[s2843,s4455,s2502,s2304]) ).
cnf(s4543,plain,
( spl0_72
| ~ spl0_25
| spl0_208
| spl0_358
| spl0_40
| ~ spl0_50
| ~ spl0_148
| ~ spl0_275
| ~ spl0_17
| ~ spl0_145
| ~ spl0_22
| ~ spl0_198
| ~ spl0_120
| ~ spl0_68
| ~ spl0_23
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3204,s1467,s3548,s4542,s3808,s3853,s23,s3652,s3767,s2537,s12,s3947,s3361,s4541,s2247,s3120,s4308,s1850,s499,s4336,s1900,s1667,s2178,s1790,s1014,s4220]) ).
cnf(s4544,plain,
( spl0_192
| ~ spl0_275
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3809,s23,s1446,s1466,s3498,s16,s1348,s3182,s4543,s15,s5,s2600,s2766,s402,s1540,s2348,s2442,s4382,s436,s19,s1255,s413,s406,s4416,s4222,s4220,s1900,s2178,s4537,s1790,s2474,s658,s395,s4533,s4,s4123,s471]) ).
cnf(s4545,plain,
( ~ spl0_275
| spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s23,s134,s1466,s3947,s1515,s3231,s2847,s4544,s2178,s1667,s4537,s4220,s1790,s2474,s658,s395,s4533,s4,s4123,s471]) ).
cnf(s4546,plain,
( spl0_195
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3221,s3348,s416,s4024,s2062,s3057,s4545,s2689,s4416,s395,s406,s4533,s1255,s4222,s471,s4,s4123,s4220]) ).
cnf(s4547,plain,
( ~ spl0_111
| ~ spl0_29
| ~ spl0_61
| ~ spl0_83
| ~ spl0_25
| spl0_164
| spl0_358
| spl0_40
| ~ spl0_50
| ~ spl0_145
| spl0_89
| spl0_95
| ~ spl0_148
| spl0_44
| ~ spl0_17
| ~ spl0_22
| ~ spl0_198
| ~ spl0_276
| ~ spl0_275
| spl0_136
| ~ spl0_2 ),
inference(rat,[],[s4541,s2247,s987]) ).
cnf(s4548,plain,
( spl0_58
| ~ spl0_29
| ~ spl0_20
| ~ spl0_61
| ~ spl0_25
| ~ spl0_9
| spl0_164
| ~ spl0_50
| spl0_89
| ~ spl0_120
| spl0_44
| ~ spl0_22
| ~ spl0_198
| ~ spl0_276
| spl0_136 ),
inference(rat,[],[s4455,s3645,s2850,s1885,s2502,s1167,s3487,s4539,s1698,s22,s360,s3184]) ).
cnf(s4549,plain,
( spl0_293
| ~ spl0_150
| ~ spl0_20
| ~ spl0_61
| spl0_161
| ~ spl0_25
| ~ spl0_9
| spl0_164 ),
inference(rat,[],[s1059,s2407,s1885,s2502,s1167,s3487]) ).
cnf(s4550,plain,
( ~ spl0_148
| spl0_181
| ~ spl0_275
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1467,s3180,s1742,s972,s4549,s307,s4548,s23,s3862,s3833,s4248,s4547,s3361,s3947,s2857,s2766,s4543,s499,s2624,s4336,s15,s3526,s5,s2600,s1790,s1706,s402,s1540,s480,s2442,s4382,s436,s4416,s1873,s2487,s2647,s2322,s1602,s2246,s987,s1667,s19,s2001,s4308,s1627,s2190,s2072,s2411,s4546,s4220,s413,s406,s1900,s2474,s658,s395,s4,s4123]) ).
cnf(s4551,plain,
( spl0_181
| ~ spl0_275
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2458,s2875,s480,s2774,s1873,s1255,s1747,s4013,s4331,s4550,s2474,s658,s3187,s395,s406,s413,s4,s4123,s2427,s1627,s2190,s2072,s2411,s4546,s4220]) ).
cnf(s4552,plain,
( ~ spl0_307
| ~ spl0_20
| ~ spl0_9
| ~ spl0_29
| ~ spl0_145
| spl0_354
| ~ spl0_70
| spl0_308
| ~ spl0_141
| ~ spl0_16
| ~ spl0_313 ),
inference(rat,[],[s1150,s1204,s4454,s2336,s2256,s3487,s4455,s4112,s972,s2057,s2072]) ).
cnf(s4553,plain,
( ~ spl0_68
| ~ spl0_145
| spl0_354
| ~ spl0_181
| spl0_308
| ~ spl0_141
| ~ spl0_195
| spl0_13
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1991,s2976,s2580,s2753,s4170,s2635,s2529,s4552,s3947,s5,s2852,s26,s4512,s360,s1258,s3260,s1790,s1533,s9,s100,s2146,s1964,s2556,s3866,s4336,s513,s2848,s921,s1327,s2072,s4220,s574,s19]) ).
cnf(s4554,plain,
( ~ spl0_275
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2529,s4239,s4552,s3947,s5,s2852,s26,s4512,s360,s1258,s1602,s1667,s2110,s2156,s4553,s1900,s2146,s436,s1964,s2556,s3866,s4336,s1325,s513,s1255,s2848,s2996,s921,s4294,s1920,s1851,s2083,s100,s574,s4551,s2190,s1327,s2072,s2427,s2411,s2001,s1533,s4220,s4388,s19,s9,s4546]) ).
cnf(s4555,plain,
( ~ spl0_68
| spl0_181
| spl0_275
| ~ spl0_195
| spl0_13
| ~ spl0_12
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s499,s15,s2663,s2600,s2072,s1540,s3109,s4382,s344,s4225,s3260,s3526,s1790,s1706,s4220,s19,s406,s2474,s658,s395,s4,s4123]) ).
cnf(s4556,plain,
( spl0_72
| ~ spl0_119
| ~ spl0_17
| spl0_181
| spl0_275
| spl0_13
| spl0_136
| ~ spl0_313
| ~ spl0_6 ),
inference(rat,[],[s2660,s1607,s2532,s3515,s463,s4082,s15,s5,s2600,s402,s1540,s4382,s3050,s4127,s1687,s4013,s1568,s1027,s1873,s921,s1374,s3011,s3062,s4336,s4388,s19,s413,s406]) ).
cnf(s4557,plain,
( spl0_286
| spl0_363
| spl0_136 ),
inference(rat,[],[s1627,s2190]) ).
cnf(s4558,plain,
( spl0_293
| ~ spl0_111
| ~ spl0_285
| spl0_110
| spl0_174
| ~ spl0_120
| ~ spl0_27
| ~ spl0_25
| ~ spl0_72
| ~ spl0_357
| ~ spl0_313 ),
inference(rat,[],[s4455,s1741,s2057,s4106,s2113,s4454,s2434,s2891,s2234,s1167]) ).
cnf(s4559,plain,
( spl0_192
| ~ spl0_119
| ~ spl0_17
| spl0_181
| spl0_275
| ~ spl0_195
| spl0_13
| spl0_136
| ~ spl0_313
| ~ spl0_6 ),
inference(rat,[],[s2208,s1721,s1064,s1935,s3746,s3274,s3740,s4376,s4454,s1032,s1983,s4558,s1375,s3050,s1471,s1687,s4013,s4331,s1718,s4557,s3260,s3075,s1374,s1980,s1960,s1873,s1255,s16,s4082,s15,s5,s2600,s402,s1540,s4382,s436,s19,s406,s3187,s413,s1859,s3526,s3947,s3361,s513,s4556]) ).
cnf(s4560,plain,
( ~ spl0_148
| ~ spl0_192
| ~ spl0_24
| ~ spl0_48
| ~ spl0_17
| ~ spl0_195
| spl0_136
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s1466,s23,s3963,s134,s4309,s3517,s1515,s2247,s1667,s2569]) ).
cnf(s4561,plain,
( spl0_181
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2532,s2660,s3674,s1471,s4013,s4560,s2647,s4559,s3652,s12,s3947,s3361,s513,s4556,s480,s4555,s2474,s658,s395,s4,s4123,s4220,s4388,s6,s1534,s19,s4546,s4554]) ).
cnf(s4562,plain,
( ~ spl0_68
| ~ spl0_17
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4455,s717,s2057,s3385,s2529,s4239,s2848,s3947,s1955,s921,s2072,s2852,s1667,s3028,s3109,s26,s436,s5,s1687,s3054,s3066,s344,s1258,s4225,s83,s4336,s4512,s360,s3050,s100,s3260,s3526,s4226,s1790,s1706,s1533,s4220,s6,s1534,s19,s4546,s4374,s4554,s4561,s1900]) ).
cnf(s4563,plain,
( spl0_286
| spl0_68
| ~ spl0_181
| spl0_275
| ~ spl0_195
| spl0_136
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s513,s3954,s4336,s100,s1607,s1851,s2660,s3219,s2532,s4388,s480,s3014]) ).
cnf(s4564,plain,
( ~ spl0_148
| ~ spl0_50
| ~ spl0_286
| spl0_366
| ~ spl0_17
| spl0_275
| ~ spl0_195
| ~ spl0_313 ),
inference(rat,[],[s3075,s1960,s3260,s2322,s1718,s1667]) ).
cnf(s4565,plain,
( spl0_303
| spl0_308
| spl0_148
| ~ spl0_50
| spl0_417
| ~ spl0_119
| ~ spl0_195
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s4455,s4179,s2057,s2273,s2529]) ).
cnf(s4566,plain,
( ~ spl0_50
| ~ spl0_17
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4239,s3947,s5,s2852,s3296,s1481,s4170,s4565,s2458,s3075,s1960,s3954,s1955,s1954,s3050,s26,s4234,s1687,s1650,s4564,s19,s1900,s1859,s480,s3853,s4336,s2380,s2072,s4563,s4562,s1533,s4220,s4561,s4546,s3034,s4554,s4388]) ).
cnf(s4567,plain,
( ~ spl0_17
| spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4560,s4013,s3652,s3674,s12,s3947,s2647,s2847,s436,s4566,s4563,s4562,s1533,s4220,s19,s4546,s4554,s4561]) ).
cnf(s4568,plain,
( ~ spl0_148
| ~ spl0_192
| ~ spl0_181
| ~ spl0_87
| spl0_275
| ~ spl0_195
| ~ spl0_23
| ~ spl0_313 ),
inference(rat,[],[s513,s2848,s3062,s921,s1374,s4294,s1862,s3502,s4530,s2109,s3517,s2247,s1667,s2569]) ).
cnf(s4569,plain,
( spl0_13
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3013,s574,s3014,s3050,s2757,s1687,s4568,s2146,s149,s4567,s4561,s3057,s4554,s4546,s2858,s19,s1533,s4220]) ).
cnf(s4572,plain,
( spl0_72
| spl0_286
| spl0_134
| ~ spl0_193
| ~ spl0_275
| spl0_434
| ~ spl0_285
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s1224,s1255,s2174,s2482,s1956,s3120,s4208,s3227,s2687,s2465]) ).
cnf(s4573,plain,
( spl0_286
| spl0_134
| ~ spl0_193
| ~ spl0_50
| ~ spl0_275
| spl0_164
| spl0_434
| spl0_195
| ~ spl0_285
| ~ spl0_13
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4208,s2171,s541,s2183,s1207,s3182,s4572]) ).
cnf(s4574,plain,
( spl0_192
| ~ spl0_275
| spl0_164
| spl0_195
| ~ spl0_285
| spl0_181
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1348,s499,s17,s15,s5,s2600,s402,s1540,s2682,s4249,s2663,s3013,s2072,s4573,s2698,s407,s436,s1533,s4220,s4569,s471,s2618,s406]) ).
cnf(s4575,plain,
( spl0_286
| ~ spl0_19
| ~ spl0_48
| ~ spl0_192
| ~ spl0_275
| spl0_195
| spl0_148
| spl0_44
| ~ spl0_17
| ~ spl0_22
| ~ spl0_13
| spl0_136
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s4454,s3807,s2256,s4455,s4066,s307,s1270,s23,s2856,s134,s387,s4480,s499,s3820,s1255,s1207,s2557,s4127,s2898,s4294,s4309,s1614,s4174,s2532,s4388,s2001,s2759,s4530,s3231,s471]) ).
cnf(s4576,plain,
( ~ spl0_275
| spl0_195
| ~ spl0_17
| spl0_181
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4454,s2900,s3127,s4455,s3846,s1932,s2529,s314,s1717,s4480,s1566,s2183,s1467,s360,s4068,s23,s22,s5,s2537,s2859,s402,s132,s2682,s146,s4249,s1609,s3013,s1696,s2072,s4575,s12,s3947,s3231,s2847,s4574,s406,s1900,s4331,s1667,s2980,s4569,s1533,s4220,s471,s2636]) ).
cnf(s4577,plain,
( spl0_195
| ~ spl0_17
| spl0_181
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3365,s4310,s4530,s1270,s2167,s307,s4024,s3057,s4576,s1706,s471,s406,s1900,s1667,s26,s1542,s2980,s4569,s1533,s4220]) ).
cnf(s4578,plain,
( ~ spl0_275
| spl0_89
| ~ spl0_195
| ~ spl0_38
| ~ spl0_285
| ~ spl0_17
| ~ spl0_186
| ~ spl0_13
| spl0_136
| ~ spl0_313 ),
inference(rat,[],[s2856,s4480,s3947,s1207,s1204,s2174,s2898,s1956,s4416,s1747,s4309,s2107,s2532,s2072,s2427,s2411]) ).
cnf(s4579,plain,
( spl0_192
| ~ spl0_119
| ~ spl0_61
| ~ spl0_286
| ~ spl0_117
| spl0_275
| ~ spl0_82
| ~ spl0_13
| spl0_136
| ~ spl0_6 ),
inference(rat,[],[s5,s3347,s3048,s4294,s2086,s2898,s1929,s2482,s3344,s1960,s407,s436,s1859]) ).
cnf(s4582,plain,
( ~ spl0_284
| ~ spl0_95
| spl0_44
| ~ spl0_17
| spl0_181
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s450,s4431,s5,s2749,s2995,s4068]) ).
cnf(s4583,plain,
( ~ spl0_17
| spl0_181
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3385,s2529,s2407,s1717,s2502,s1467,s4582,s2086,s944,s100,s4455,s3052,s4064,s23,s1998,s4309,s134,s3674,s1531,s12,s3947,s2647,s2847,s4579,s480,s3509,s2072,s196,s3109,s3365,s3229,s3075,s4578,s4310,s2458,s4577,s26,s4331,s1542,s1667,s2980,s1900,s1533,s4220,s4569,s395,s4,s4123]) ).
cnf(s4584,plain,
( spl0_89
| spl0_286
| ~ spl0_148
| spl0_195
| ~ spl0_275
| spl0_181
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4455,s4026,s2256,s4454,s4015,s1956,s5,s4294,s1851,s433,s3952,s902,s1027,s2482,s100,s1485,s523,s3221,s2167,s2678,s1964,s3947,s416,s3071,s2856,s2613,s4310,s4569,s149,s1706,s471,s310,s1515,s1667,s1327,s2532,s1222,s4309,s2247,s2569,s2146,s4583,s4220]) ).
cnf(s4585,plain,
( ~ spl0_264
| ~ spl0_120
| spl0_141
| ~ spl0_305
| ~ spl0_276
| ~ spl0_68
| ~ spl0_22
| spl0_136 ),
inference(rat,[],[s1816,s1038,s2850,s2889,s2849]) ).
cnf(s4586,plain,
( ~ spl0_303
| ~ spl0_263
| spl0_141
| spl0_161
| ~ spl0_68
| ~ spl0_368 ),
inference(rat,[],[s2407,s3625,s1816]) ).
cnf(s4587,plain,
( ~ spl0_120
| spl0_141
| ~ spl0_236
| spl0_161
| ~ spl0_305
| spl0_343
| ~ spl0_276
| ~ spl0_147
| ~ spl0_148
| ~ spl0_68
| ~ spl0_368
| ~ spl0_221
| ~ spl0_22
| spl0_136
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s1865,s211,s4454,s24,s2113,s2057,s1115,s914,s2529,s4586,s1330,s4455,s4585]) ).
cnf(s4588,plain,
( ~ spl0_309
| ~ spl0_9
| ~ spl0_145
| spl0_354
| spl0_343
| spl0_286
| ~ spl0_148
| ~ spl0_192
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4455,s4026,s2256,s4454,s4078,s1027,s2482,s1533,s1667,s4309,s2247,s2569,s4220]) ).
cnf(s4589,plain,
( ~ spl0_264
| ~ spl0_120
| ~ spl0_177
| ~ spl0_145
| spl0_354
| spl0_286
| ~ spl0_198
| ~ spl0_344 ),
inference(rat,[],[s3807,s1150,s4454,s2829,s2256]) ).
cnf(s4590,plain,
( spl0_286
| ~ spl0_148
| spl0_195
| ~ spl0_275
| spl0_181
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1991,s2976,s2580,s3010,s1879,s4442,s1467,s1330,s4455,s4589,s23,s2633,s4530,s1964,s4587,s1255,s4588,s533,s3947,s3164,s387,s2624,s3820,s4336,s1265,s3778,s921,s5,s4294,s402,s1920,s2682,s1851,s2083,s3184,s4249,s100,s2086,s2189,s1635,s4584,s2190,s4308,s4388,s4569,s413,s658,s395,s4,s4123,s149,s2001,s471,s2618,s406,s1515,s1667,s4309,s2247,s2569,s2146,s4583,s4220]) ).
cnf(s4591,plain,
( ~ spl0_148
| spl0_195
| ~ spl0_275
| spl0_181
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3985,s1850,s1718,s4590,s2680,s4220,s2146,s4583,s471]) ).
cnf(s4592,plain,
( spl0_195
| ~ spl0_275
| spl0_181
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2167,s196,s100,s2759,s1851,s1220,s4309,s2110,s2557,s1553,s902,s1027,s1548,s1898,s2777,s30,s1547,s4591,s1706,s471,s4220,s4569,s406,s2146,s4583]) ).
cnf(s4593,plain,
( ~ spl0_275
| spl0_181
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1548,s1898,s4196,s2777,s1870,s30,s2063,s2190,s1547,s1964,s2072,s2246,s2411,s2647,s4592,s4220,s406,s149,s2146,s4583]) ).
cnf(s4594,plain,
( spl0_195
| ~ spl0_87
| spl0_275
| spl0_374
| ~ spl0_36
| ~ spl0_22
| ~ spl0_13
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2759,s2247,s3207,s3063,s2072,s3055,s4530,s3013,s2167,s3719,s1706,s4024,s3060,s471,s1533,s4220]) ).
cnf(s4595,plain,
( spl0_286
| ~ spl0_195
| spl0_275
| ~ spl0_192
| ~ spl0_36
| ~ spl0_22
| ~ spl0_13
| spl0_136
| ~ spl0_313
| ~ spl0_6 ),
inference(rat,[],[s3517,s1667,s2063,s3229,s1870,s4310,s2706,s2183,s513,s2086,s4336,s100,s1607,s1851,s2660,s3108,s3109,s2532,s2190,s1327,s4388]) ).
cnf(s4596,plain,
( ~ spl0_68
| spl0_111
| spl0_141
| ~ spl0_286
| ~ spl0_195
| spl0_275
| ~ spl0_36
| ~ spl0_22
| ~ spl0_6 ),
inference(rat,[],[s2175,s3062,s2764,s3526,s3501,s1706]) ).
cnf(s4597,plain,
( spl0_89
| ~ spl0_94
| spl0_111
| spl0_275 ),
inference(rat,[],[s2064,s1998,s3075,s4310]) ).
cnf(s4598,plain,
( ~ spl0_266
| ~ spl0_308
| spl0_311
| ~ spl0_309
| ~ spl0_145
| spl0_181
| ~ spl0_2 ),
inference(rat,[],[s450,s5,s3961,s4015]) ).
cnf(s4599,plain,
( ~ spl0_148
| spl0_181
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1032,s2899,s2843,s4455,s4026,s4454,s4598,s2996,s1027,s2482,s1873,s3515,s1374,s3853,s4516,s3062,s4336,s4367,s2183,s1731,s4597,s1956,s921,s3012,s3063,s4530,s3517,s1718,s1667,s1533,s6,s1534,s413,s3034,s4388,s4309,s480,s4596,s3674,s2647,s2072,s4595,s4594,s3057,s2569,s2146,s4220,s4569,s4593,s149,s4583,s406]) ).
cnf(s4600,plain,
( ~ spl0_70
| ~ spl0_61
| spl0_111
| ~ spl0_195
| spl0_275
| ~ spl0_192
| ~ spl0_313
| ~ spl0_6 ),
inference(rat,[],[s3987,s12,s2175,s3052,s2767,s1998,s4310,s3949]) ).
cnf(s4601,plain,
( ~ spl0_264
| spl0_164
| spl0_417
| ~ spl0_61
| spl0_148
| ~ spl0_147 ),
inference(rat,[],[s2502,s2843,s4030]) ).
cnf(s4602,plain,
( spl0_181
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2995,s1115,s2529,s3635,s944,s4455,s4601,s2086,s100,s4600,s2840,s4310,s3949,s3517,s1548,s196,s1898,s2567,s2777,s3346,s30,s3228,s3056,s1547,s4331,s4599,s4309,s3674,s4595,s2647,s4594,s3057,s4593,s2569,s2146,s149,s4583,s406,s4220,s4569]) ).
cnf(s4603,plain,
( spl0_195
| ~ spl0_89
| spl0_286
| ~ spl0_176
| ~ spl0_147
| ~ spl0_181
| ~ spl0_13
| spl0_136
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s921,s3778,s4294,s4174,s1920,s1851,s2083,s100,s1265,s4226,s3820,s471,s4388,s2190]) ).
cnf(s4604,plain,
( spl0_286
| ~ spl0_275
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2759,s4174,s4530,s2246,s3517,s2647,s4603,s2856,s2532,s4309,s1483,s310,s387,s3164,s3947,s533,s1250,s149,s1515,s2146,s2980,s1533,s1305,s4602,s4569,s4220]) ).
cnf(s4605,plain,
( ~ spl0_148
| ~ spl0_68
| ~ spl0_286
| ~ spl0_275
| ~ spl0_192
| spl0_17
| ~ spl0_313 ),
inference(rat,[],[s3985,s1850,s1718,s2680]) ).
cnf(s4606,plain,
( spl0_164
| spl0_161
| spl0_417
| ~ spl0_61
| spl0_146
| spl0_148
| ~ spl0_68
| ~ spl0_84
| ~ spl0_369
| spl0_141
| ~ spl0_368
| ~ spl0_147
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s3746,s4454,s2502,s2318,s1931,s4036,s4586,s4455,s4601]) ).
cnf(s4607,plain,
( ~ spl0_264
| ~ spl0_164
| spl0_417
| spl0_148
| ~ spl0_147 ),
inference(rat,[],[s1815,s2864,s2843,s4331,s26,s1650]) ).
cnf(s4608,plain,
( spl0_89
| ~ spl0_61
| spl0_146
| spl0_148
| spl0_195
| ~ spl0_369
| spl0_141
| ~ spl0_368
| ~ spl0_33
| ~ spl0_192
| ~ spl0_36
| spl0_95
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s1467,s2505,s1815,s2529,s1931,s4586,s4455,s4607,s4606,s2409,s2840,s2613,s4310,s4309,s1483,s414,s471,s2789]) ).
cnf(s4609,plain,
( ~ spl0_264
| spl0_44
| spl0_148
| ~ spl0_147
| ~ spl0_13
| ~ spl0_344 ),
inference(rat,[],[s2749,s2834,s2864,s3806,s3146,s4331,s26,s1650]) ).
cnf(s4612,plain,
( ~ spl0_284
| ~ spl0_187
| ~ spl0_263
| spl0_44
| ~ spl0_61
| ~ spl0_286
| ~ spl0_13 ),
inference(rat,[],[s3877,s3313,s2749]) ).
cnf(s4613,plain,
( ~ spl0_61
| spl0_148
| spl0_195
| ~ spl0_369
| ~ spl0_286
| ~ spl0_368
| ~ spl0_192
| ~ spl0_36
| ~ spl0_181
| ~ spl0_13
| spl0_136
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s4031,s1816,s2595,s2529,s2505,s1467,s4612,s399,s5,s3048,s1955,s4036,s4455,s4609,s1265,s2183,s4608,s4388,s4309,s1483,s23,s134,s2072,s414,s471,s3820,s387,s3164,s1515,s1305,s1375,s1471,s3947,s533,s1250]) ).
cnf(s4614,plain,
( ~ spl0_275
| spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4031,s1816,s2595,s2529,s2505,s2818,s2424,s3149,s1911,s4455,s4609,s1265,s1466,s4530,s4613,s4605,s3820,s471,s414,s2411,s1696,s2072,s4604,s2001,s4388,s4309,s1483,s23,s134,s387,s3164,s3947,s533,s1250,s149,s1515,s2146,s2980,s1533,s1305,s4602,s4569,s4220]) ).
cnf(s4615,plain,
( spl0_286
| spl0_275
| ~ spl0_176
| spl0_51
| ~ spl0_147
| ~ spl0_181
| ~ spl0_13
| spl0_136
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s513,s4336,s4603,s1607,s2856,s2660,s2532,s4388,s511,s3947,s533,s1250,s2146,s2980,s1305]) ).
cnf(s4616,plain,
( spl0_195
| spl0_141
| ~ spl0_286
| spl0_275
| ~ spl0_19
| spl0_111
| ~ spl0_181
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s3052,s2641,s100,s3501,s4226,s471,s414]) ).
cnf(s4617,plain,
( ~ spl0_293
| ~ spl0_44
| spl0_91
| ~ spl0_89
| ~ spl0_33
| ~ spl0_29
| ~ spl0_192
| ~ spl0_2 ),
inference(rat,[],[s3010,s3718,s1467,s2529,s1035,s972]) ).
cnf(s4618,plain,
( spl0_284
| spl0_302
| spl0_91
| ~ spl0_89
| ~ spl0_33 ),
inference(rat,[],[s1721,s3718,s1467]) ).
cnf(s4619,plain,
( spl0_136
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4454,s1682,s3160,s1330,s3352,s4618,s1889,s4455,s3132,s3196,s4617,s1270,s307,s4526,s4367,s1731,s1718,s3056,s314,s1466,s73,s513,s3517,s4616,s2072,s4615,s4614,s387,s23,s3164,s134,s12,s3947,s310,s4309,s533,s1515,s1483,s511,s1250,s2146,s149,s2980,s1305,s4602,s4569,s6,s4388,s1534,s1533,s4220]) ).
cnf(s4620,plain,
( ~ spl0_264
| spl0_306
| ~ spl0_141
| spl0_286
| ~ spl0_275
| ~ spl0_194
| spl0_309 ),
inference(rat,[],[s1215,s3897,s2443,s2397,s2890,s2256,s4454,s3841,s711,s2362,s1255,s4308]) ).
cnf(s4621,plain,
( spl0_13
| ~ spl0_111
| ~ spl0_152
| ~ spl0_198
| spl0_20
| ~ spl0_17
| spl0_286
| ~ spl0_275
| spl0_72
| ~ spl0_68
| ~ spl0_194
| spl0_309
| ~ spl0_136 ),
inference(rat,[],[s1570,s3626,s2304,s2306,s4455,s4620,s2247,s4331,s2774,s1635,s1909,s3509,s2174,s3707,s4478,s3652,s3187,s4528,s19,s1255,s3947,s12,s6,s2120]) ).
cnf(s4622,plain,
( spl0_181
| spl0_192
| spl0_286
| spl0_195
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4436,s3778,s4573,s4621,s3120,s921,s2687,s4416,s2698,s2618,s395,s406,s413,s4,s4123,s409,s471,s3182,s4071,s1027,s2235,s436,s407,s2652,s2223,s4619,s4220,s1900,s2636,s2146]) ).
cnf(s4623,plain,
( ~ spl0_181
| spl0_286
| ~ spl0_83
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1919,s4294,s3866,s921,s3954,s2848,s1533,s2223,s4619,s4220,s1327]) ).
cnf(s4624,plain,
( spl0_13
| ~ spl0_221
| ~ spl0_192
| spl0_72
| ~ spl0_68
| spl0_29
| ~ spl0_6 ),
inference(rat,[],[s6,s2120,s4225,s3361,s2474]) ).
cnf(s4625,plain,
( spl0_286
| spl0_195
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1928,s4455,s3290,s4067,s1467,s1466,s4309,s23,s4174,s3718,s134,s2759,s314,s4582,s499,s4530,s319,s3947,s2980,s3231,s4128,s3361,s1900,s149,s2404,s1898,s1548,s2295,s4331,s3763,s1956,s4624,s3711,s4416,s658,s4622,s395,s4623,s1533,s4,s4123,s1027,s2235,s471,s4336,s3182,s2223,s4619,s4220]) ).
cnf(s4626,plain,
( spl0_192
| spl0_195
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1305,s406,s2980,s2600,s4528,s15,s6,s4478,s499,s2120,s2663,s2652,s2146,s3182,s2223,s4619,s1540,s2682,s4249,s3013,s2072,s4625,s4220,s471,s1533]) ).
cnf(s4627,plain,
( ~ spl0_17
| spl0_181
| spl0_195
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4453,s4067,s4064,s4455,s23,s1932,s134,s314,s4582,s499,s319,s3947,s2980,s3231,s4128,s3361,s1900,s1533,s1696,s4625,s4071,s1956,s4331,s26,s1650,s3763,s3711,s4416,s1027,s2235,s4624,s658,s395,s4,s4123,s4626,s3182,s471,s2223,s4619,s4220]) ).
cnf(s4628,plain,
( ~ spl0_288
| spl0_95
| spl0_161
| ~ spl0_192
| spl0_141
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2407,s2836,s1816,s2529,s2505,s1566,s471]) ).
cnf(s4629,plain,
( spl0_288
| ~ spl0_147
| spl0_181
| spl0_195
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2318,s4586,s4036,s4454,s4455,s1865,s4030,s1255,s414,s2001,s2072,s1696,s4625,s4071,s2624,s2618,s406,s211,s24,s1548,s3763,s3711,s4416,s4624,s658,s395,s4,s4123,s4626,s3182,s471,s2223,s1027,s2235,s4619,s4220]) ).
cnf(s4630,plain,
( ~ spl0_303
| spl0_304
| spl0_161
| spl0_141
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2407,s2836,s1816,s471]) ).
cnf(s4631,plain,
( ~ spl0_147
| spl0_181
| spl0_195
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4455,s2306,s2864,s2259,s2995,s4427,s2529,s4630,s4628,s1566,s4629,s2072,s4625,s2624,s2618,s406,s4331,s26,s1650,s3763,s3711,s4416,s1027,s2235,s4624,s658,s395,s4,s4123,s4626,s3182,s471,s2223,s4619,s4220]) ).
cnf(s4632,plain,
( spl0_181
| spl0_195
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4057,s1483,s2557,s4309,s4631,s3203,s149,s4627,s1898,s26,s1548,s1650,s3763,s3711,s4624,s4416,s658,s395,s406,s413,s1533,s4,s4123,s471,s3182,s4071,s2223,s1027,s2235,s4619,s4220,s4626]) ).
cnf(s4633,plain,
( ~ spl0_17
| spl0_13
| ~ spl0_192
| spl0_72
| ~ spl0_68
| spl0_29
| ~ spl0_6 ),
inference(rat,[],[s6,s2120,s4225,s3361]) ).
cnf(s4634,plain,
( ~ spl0_288
| ~ spl0_61
| spl0_95
| ~ spl0_89
| ~ spl0_192
| spl0_141
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2408,s2595,s1721,s2505,s4628,s1887,s414]) ).
cnf(s4635,plain,
( spl0_288
| ~ spl0_147
| spl0_195
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4032,s4036,s4454,s4455,s1865,s4030,s1255,s414,s2072,s1696,s4331,s26,s1650,s211,s24,s1548,s3672,s5,s1284,s4302,s4605,s4633,s3182,s4625,s4071,s1027,s2235,s471,s921,s2848,s511,s2223,s4619,s4220,s4632,s4626]) ).
cnf(s4636,plain,
( spl0_95
| spl0_195
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2408,s2836,s2595,s2529,s2505,s4628,s1566,s4635,s4309,s1483,s414,s2072,s4625,s4220,s4626]) ).
cnf(s4637,plain,
( ~ spl0_111
| spl0_195
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2443,s2995,s2890,s2900,s4454,s1371,s2362,s3866,s4455,s2556,s4036,s1697,s2174,s2557,s1255,s414,s4336,s1696,s4331,s4605,s1635,s360,s3163,s149,s4633,s3182,s19,s511,s4632,s4626,s4,s4123,s3013,s2072,s4625,s471,s1533,s4071,s2223,s1027,s2235,s4619,s4220,s4636]) ).
cnf(s4638,plain,
( ~ spl0_405
| ~ spl0_181
| ~ spl0_83
| ~ spl0_84
| ~ spl0_294 ),
inference(rat,[],[s4170,s2432,s2580]) ).
cnf(s4639,plain,
( spl0_267
| spl0_405
| ~ spl0_70
| spl0_72 ),
inference(rat,[],[s1991,s2976]) ).
cnf(s4640,plain,
( spl0_195
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2995,s2864,s2635,s4455,s1721,s1911,s4639,s4638,s4635,s4309,s4637,s4636,s26,s360,s1650,s4331,s3163,s4605,s149,s4633,s19,s511,s4632,s4626,s100,s3013,s1696,s2072,s4625,s4336,s4071,s3182,s471,s414,s1533,s4,s4123,s2223,s1027,s2235,s4619,s4220]) ).
cnf(s4641,plain,
( spl0_283
| ~ spl0_264
| spl0_306
| spl0_161
| spl0_286
| ~ spl0_275 ),
inference(rat,[],[s4454,s2256,s3841,s2397,s2407,s4376]) ).
cnf(s4642,plain,
( ~ spl0_283
| ~ spl0_61
| ~ spl0_141
| spl0_164
| spl0_95
| ~ spl0_33
| ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s1467,s3180,s2502,s1215]) ).
cnf(s4643,plain,
( ~ spl0_68
| spl0_95
| spl0_181
| spl0_192
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1570,s3626,s2304,s2306,s4455,s4641,s4642,s2247,s4331,s1909,s344,s2774,s4478,s1696,s1609,s4110,s2875,s1790,s2706,s4555,s1255,s4640,s921,s4416,s395,s4,s4123,s1027,s2235,s23,s2537,s2442,s4528,s6,s2120,s3187,s413,s3707,s3652,s19,s12,s3947,s2983,s1434,s401,s2032,s1540,s4382,s2980,s1533,s406,s2652,s2223,s4619,s4220,s2146]) ).
cnf(s4644,plain,
( spl0_307
| ~ spl0_82
| ~ spl0_150
| ~ spl0_119
| ~ spl0_357
| spl0_95
| ~ spl0_30
| ~ spl0_17
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1059,s2271,s1481,s1884,s3180,s2529]) ).
cnf(s4645,plain,
( ~ spl0_275
| spl0_72
| spl0_170
| spl0_68
| spl0_369
| ~ spl0_357
| spl0_95
| ~ spl0_30
| spl0_192
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4455,s4641,s2057,s1215,s4644,s1909,s3120,s344,s2766,s4310,s1602,s2110,s307,s2156,s3866,s1325,s1327,s1696,s2427,s2411,s2001,s1255,s1027,s2235,s4640,s436,s19,s480,s4336,s2857,s3947,s4478,s4528,s2980,s2146,s1533,s6,s2120,s2652,s2223,s4619,s4220]) ).
cnf(s4646,plain,
( spl0_72
| spl0_363
| spl0_170
| spl0_68
| spl0_369
| ~ spl0_357
| spl0_95
| ~ spl0_30
| spl0_192
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3062,s1374,s4645]) ).
cnf(s4647,plain,
( ~ spl0_264
| spl0_286
| spl0_275
| ~ spl0_143
| ~ spl0_72
| ~ spl0_69
| ~ spl0_119
| ~ spl0_27 ),
inference(rat,[],[s1032,s2234,s2444,s3140,s716,s3109]) ).
cnf(s4648,plain,
( spl0_95
| spl0_181
| spl0_192
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4426,s1688,s3626,s2306,s944,s4455,s4647,s1228,s2001,s3526,s2242,s4646,s1873,s3765,s79,s480,s4643,s2983,s1434,s16,s401,s15,s1501,s2032,s2600,s3707,s5,s1540,s3652,s1287,s3187,s4382,s19,s2980,s1533,s4640,s2146,s3947,s12,s413,s589,s595,s921,s4416,s395,s4,s4123,s1027,s2235,s22,s2859,s2442,s406,s2652,s2223,s4619,s4220]) ).
cnf(s4649,plain,
( ~ spl0_68
| ~ spl0_58
| ~ spl0_61
| ~ spl0_285
| spl0_89
| ~ spl0_318
| ~ spl0_198
| ~ spl0_120
| ~ spl0_6 ),
inference(rat,[],[s3187,s2774,s2167,s3348,s1706]) ).
cnf(s4650,plain,
( ~ spl0_286
| ~ spl0_58
| ~ spl0_152
| ~ spl0_136 ),
inference(rat,[],[s3515,s1228]) ).
cnf(s4651,plain,
( spl0_181
| spl0_192
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2156,s2110,s1325,s4650,s4649,s360,s1466,s4331,s2458,s1667,s4648,s23,s22,s2689,s921,s2537,s2859,s4416,s2442,s395,s406,s413,s4,s4123,s1255,s1027,s2235,s4640,s436,s2652,s2223,s4619,s4220]) ).
cnf(s4652,plain,
( ~ spl0_181
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s918,s1950,s921,s3954,s2848,s2429,s1533,s4,s4123,s2223,s1255,s1027,s2235,s4619,s4220,s4640]) ).
cnf(s4654,plain,
( spl0_13
| ~ spl0_147
| spl0_61
| ~ spl0_221
| ~ spl0_195
| spl0_29
| ~ spl0_136
| ~ spl0_6 ),
inference(rat,[],[s3526,s1228,s4478,s2501,s4528,s3652,s6,s12,s2120,s3361,s2474,s19]) ).
cnf(s4655,plain,
( spl0_95
| ~ spl0_457
| ~ spl0_221
| ~ spl0_192
| ~ spl0_195
| ~ spl0_136
| ~ spl0_313
| ~ spl0_6 ),
inference(rat,[],[s2411,s3189,s2072,s211,s4174,s24,s2759,s1548,s3763,s4654,s4530,s4309,s3517,s1483,s2223,s1255,s1027,s2235]) ).
cnf(s4656,plain,
( spl0_13
| ~ spl0_38
| ~ spl0_285
| spl0_89
| ~ spl0_152
| ~ spl0_221
| ~ spl0_198
| ~ spl0_120
| spl0_29
| ~ spl0_136
| ~ spl0_6 ),
inference(rat,[],[s2852,s360,s3947,s3515,s1228,s3361,s2774,s2474,s3187,s19]) ).
cnf(s4657,plain,
( spl0_61
| spl0_72
| ~ spl0_48
| spl0_89 ),
inference(rat,[],[s134,s23,s499,s1466]) ).
cnf(s4658,plain,
( spl0_275
| spl0_286
| ~ spl0_82
| spl0_148 ),
inference(rat,[],[s3109,s3229]) ).
cnf(s4659,plain,
( spl0_286
| ~ spl0_13
| ~ spl0_38
| spl0_89
| spl0_148
| ~ spl0_145 ),
inference(rat,[],[s4657,s2174,s1207,s4658,s3947,s533,s2898,s1205,s4309,s2107,s4331,s4310,s1956]) ).
cnf(s4660,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4600,s3189,s4309,s100,s2411,s3674,s3515,s2072,s1228,s4659,s4656,s211,s24,s26,s1548,s4331,s2458,s1542,s1667,s4655,s3711,s921,s2647,s4416,s658,s4651,s395,s413,s4652,s4640,s1255,s1027,s2223,s2235,s4619,s4220,s4,s4123]) ).
cnf(s4661,plain,
( spl0_136
| spl0_286
| spl0_192
| spl0_13
| spl0_95
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1955,s4234,s1482,s2322,s4353,s597,s2915,s2532,s63,s592,s4660,s3120,s2766,s2348,s436,s2875,s2146,s471]) ).
cnf(s4662,plain,
( spl0_44
| ~ spl0_136
| ~ spl0_111
| spl0_96
| spl0_13 ),
inference(rat,[],[s6,s4528,s1536,s2166]) ).
cnf(s4663,plain,
( ~ spl0_61
| ~ spl0_143
| ~ spl0_118
| spl0_170
| ~ spl0_17
| ~ spl0_68
| ~ spl0_181 ),
inference(rat,[],[s2161,s3947,s574,s915,s3509]) ).
cnf(s4665,plain,
( ~ spl0_263
| ~ spl0_309
| spl0_311
| ~ spl0_9
| ~ spl0_136
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s2744,s2529,s3487,s3635,s1085,s944,s592,s4660,s2223]) ).
cnf(s4666,plain,
( ~ spl0_275
| ~ spl0_136
| ~ spl0_111
| spl0_286
| spl0_192
| spl0_13
| spl0_95
| ~ spl0_313
| ~ spl0_68
| ~ spl0_2 ),
inference(rat,[],[s3727,s3180,s3689,s2113,s3841,s4454,s2256,s4455,s4665,s1482,s1780,s1255,s2759,s1224,s4530,s4663,s2470,s1207,s9,s407,s4310,s1919,s4294,s2465,s3227,s2487,s2875,s2146,s19,s4331,s2110,s5,s1284,s4302,s2498,s4662,s528,s921,s2848,s2223,s592,s4660]) ).
cnf(s4667,plain,
( spl0_286
| spl0_192
| spl0_13
| spl0_95
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s4658,s4666,s2498,s4662,s4661,s3120,s528,s4660,s2766,s2348,s436,s4310,s2875,s2146,s471]) ).
cnf(s4668,plain,
( ~ spl0_264
| ~ spl0_29
| spl0_161
| spl0_145
| spl0_136
| spl0_141
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s4630,s2529,s1659,s972,s734,s3915,s592,s4660,s4294,s6,s1534,s5,s3048]) ).
cnf(s4669,plain,
( ~ spl0_263
| ~ spl0_369
| ~ spl0_374
| ~ spl0_94
| spl0_89 ),
inference(rat,[],[s1381,s2304,s1418,s1911,s4310]) ).
cnf(s4670,plain,
( spl0_161
| ~ spl0_264
| spl0_145
| spl0_136
| spl0_141
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2529,s4630,s2744,s4668,s1659,s734,s5,s3048,s592,s4660]) ).
cnf(s4671,plain,
( spl0_192
| spl0_13
| spl0_95
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2744,s3180,s1446,s3727,s2624,s2076,s4670,s1605,s1733,s734,s3915,s2796,s4455,s4669,s1696,s3075,s4242,s1960,s5,s6,s3833,s1861,s4234,s3048,s4294,s1534,s3809,s3862,s2689,s2143,s23,s3348,s1466,s4530,s2420,s3501,s2663,s2072,s4667,s2487,s4310,s1501,s2875,s3310,s2146,s407,s436,s63,s592,s4660,s471,s19]) ).
cnf(s4672,plain,
( spl0_136
| spl0_286
| spl0_13
| spl0_95
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1707,s2775,s4336,s2354,s3496,s3227,s2108,s921,s10,s149,s2848,s915,s3231,s523,s196,s3947,s1862,s3712,s4557,s1515,s63,s592,s471,s19,s3659,s3,s4660,s1483,s4671]) ).
cnf(s4673,plain,
( spl0_89
| ~ spl0_427
| spl0_113
| ~ spl0_166
| ~ spl0_192
| ~ spl0_23
| ~ spl0_68 ),
inference(rat,[],[s3231,s149,s3071,s2775,s4310]) ).
cnf(s4674,plain,
( ~ spl0_264
| spl0_306
| spl0_161
| ~ spl0_269
| spl0_141
| ~ spl0_275
| spl0_286
| spl0_111
| ~ spl0_14
| ~ spl0_68 ),
inference(rat,[],[s1236,s1816,s2855,s4641]) ).
cnf(s4675,plain,
( spl0_200
| ~ spl0_61
| ~ spl0_148
| spl0_286
| spl0_13
| spl0_95
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s4454,s2318,s4026,s4586,s4455,s4674,s902,s1780,s1027,s3221,s2409,s416,s3659,s3,s2001,s1635,s3060,s3235,s3183,s63,s4251,s4634,s4673,s2354,s3227,s921,s2848,s2223,s4672,s592,s4660,s1222,s4309,s1483,s1327,s19,s471,s1964,s4671]) ).
cnf(s4676,plain,
( spl0_20
| spl0_17
| spl0_145
| ~ spl0_192
| ~ spl0_23
| ~ spl0_313 ),
inference(rat,[],[s1514,s3163,s3707,s4,s3652,s2945,s12,s3947,s149]) ).
cnf(s4677,plain,
( ~ spl0_148
| spl0_286
| spl0_13
| spl0_95
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1330,s1467,s4455,s23,s4674,s2633,s4251,s1780,s4530,s4628,s3221,s574,s4675,s2409,s416,s3866,s2907,s4336,s2768,s2246,s3659,s3,s1919,s4294,s1635,s3060,s3235,s3183,s63,s4676,s2875,s4673,s2354,s3227,s1222,s4309,s1483,s1327,s471,s921,s2848,s2223,s4672,s592,s4660,s4671,s19]) ).
cnf(s4678,plain,
( spl0_286
| spl0_13
| spl0_95
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2295,s4677,s2404,s149,s2875,s4673,s2354,s3227,s921,s2848,s2223,s4672,s1222,s1327,s592,s471,s19,s1665,s63,s4660,s4309,s1483,s4671]) ).
cnf(s4679,plain,
( spl0_136
| ~ spl0_192
| spl0_13
| spl0_95
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s1514,s453,s1281,s5,s3048,s921,s2848,s523,s3947,s3712,s1515,s63,s592,s3659,s3,s4660]) ).
cnf(s4680,plain,
( ~ spl0_148
| ~ spl0_275
| spl0_58
| ~ spl0_286
| ~ spl0_192
| ~ spl0_23
| spl0_95
| ~ spl0_313
| ~ spl0_68
| ~ spl0_2 ),
inference(rat,[],[s1444,s3309,s388,s360,s1434,s1731,s4605,s63,s4660,s2983,s1696]) ).
cnf(s4681,plain,
( spl0_13
| spl0_95
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2318,s4586,s4036,s4455,s4030,s4680,s4454,s1865,s4628,s2409,s2907,s2470,s1696,s3060,s3235,s3183,s921,s3348,s2848,s1228,s2143,s2223,s4679,s1255,s3501,s2056,s2072,s4678,s4309,s1483,s4671,s3659,s19,s63,s3,s592,s4660,s414,s471]) ).
cnf(s4682,plain,
( spl0_136
| ~ spl0_111
| spl0_286
| spl0_89
| spl0_51
| ~ spl0_17
| ~ spl0_13
| spl0_95
| spl0_195
| ~ spl0_54 ),
inference(rat,[],[s916,s2063,s2083,s1616,s1920,s4331,s4294,s2322,s1205,s4353,s533,s597,s3947,s2915,s2856,s2532,s2190,s4388]) ).
cnf(s4683,plain,
( ~ spl0_264
| spl0_354
| ~ spl0_308
| spl0_306
| spl0_141
| spl0_161
| ~ spl0_275
| spl0_286
| ~ spl0_68
| ~ spl0_2 ),
inference(rat,[],[s2318,s4454,s1816,s2256,s4641]) ).
cnf(s4684,plain,
( spl0_72
| ~ spl0_136
| spl0_286
| spl0_89
| spl0_192
| ~ spl0_13
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s4454,s1201,s5,s2318,s3899,s4665,s4586,s4455,s4683,s3862,s1204,s533,s23,s3947,s2759,s1466,s4657,s4530,s1482,s1780,s2663,s3221,s574,s2409,s416,s3866,s2907,s4336,s63,s471,s1327,s3120,s2766,s2348,s436,s2001,s4658,s2708,s2143,s2146,s4310,s1919,s4294,s921,s2848,s2223,s592,s4660]) ).
cnf(s4685,plain,
( ~ spl0_264
| ~ spl0_236
| spl0_306
| ~ spl0_94
| ~ spl0_135
| spl0_148
| spl0_286
| ~ spl0_82
| ~ spl0_194
| ~ spl0_54 ),
inference(rat,[],[s3349,s1879,s2219,s1381,s3841,s4454,s2256,s3146,s4658,s2759]) ).
cnf(s4686,plain,
( spl0_286
| spl0_192
| spl0_95
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s4454,s1201,s5,s2318,s3899,s4665,s1153,s4455,s4685,s533,s12,s3862,s1482,s1780,s1027,s1614,s23,s1255,s2759,s1466,s1224,s4530,s4663,s1207,s2470,s4684,s1919,s4294,s4658,s2110,s4331,s921,s2708,s2848,s2143,s2223,s4682,s3120,s63,s592,s409,s4681,s407,s526,s4660,s2766,s2348,s436,s4310,s2875,s2146,s471]) ).
cnf(s4687,plain,
( spl0_136
| ~ spl0_369
| spl0_309
| spl0_141
| spl0_89
| spl0_192
| ~ spl0_13
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s3725,s3037,s1816,s2836,s2837,s3899,s1659,s1733,s734,s3915,s4455,s4669,s2247,s1547,s31,s3653,s5,s590,s6,s3048,s2932,s1534,s592,s2146,s4530,s533,s4294,s2898,s4243,s1662,s63,s4660,s4248,s3833,s3862,s23,s1466,s2663,s471]) ).
cnf(s4688,plain,
( spl0_192
| spl0_95
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s3302,s2834,s3204,s1879,s1741,s722,s3146,s4455,s2121,s6,s155,s4331,s4501,s2708,s3348,s2768,s2143,s4687,s1444,s388,s1434,s2983,s1696,s3075,s1960,s1861,s2898,s3674,s533,s4243,s4248,s1662,s3833,s3862,s23,s1255,s1466,s3501,s2663,s2072,s4686,s2875,s2146,s407,s436,s63,s592,s4660,s471,s4681]) ).
cnf(s4689,plain,
( ~ spl0_165
| spl0_51
| spl0_20
| spl0_95
| ~ spl0_68
| spl0_195
| ~ spl0_54 ),
inference(rat,[],[s2945,s590,s2875,s2915,s2856,s3947]) ).
cnf(s4690,plain,
( spl0_95
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s3164,s387,s149,s3820,s2875,s1446,s1466,s418,s1850,s3234,s2680,s590,s1548,s990,s3501,s2072,s2532,s4689,s24,s23,s211,s134,s3712,s310,s3947,s1515,s523,s2223,s511,s4688,s4681,s63,s592,s4660,s471]) ).
cnf(s4691,plain,
( spl0_136
| spl0_286
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s990,s590,s1747,s2848,s2915,s1955,s921,s2532,s4234,s4013,s149,s2404,s2295,s1667,s1665,s1305,s4690,s592,s63,s4660]) ).
cnf(s4692,plain,
( spl0_89
| spl0_425
| ~ spl0_193
| ~ spl0_9
| ~ spl0_136
| ~ spl0_17
| spl0_286
| ~ spl0_23
| spl0_148
| ~ spl0_313
| ~ spl0_68
| ~ spl0_2 ),
inference(rat,[],[s3727,s4106,s2201,s1381,s3841,s4454,s2256,s3146,s4455,s4665,s1780,s1255,s2759,s1224,s4530,s4663,s2470,s1207,s2465,s3120,s4658,s2487,s2766,s4310,s4331,s2110,s3227,s1919,s4294,s921,s2848,s2223,s592,s4660]) ).
cnf(s4693,plain,
( spl0_309
| ~ spl0_193
| spl0_170
| ~ spl0_136
| ~ spl0_17
| ~ spl0_118
| spl0_286
| ~ spl0_285
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2470,s2907,s2062,s4663,s416,s1224,s3221,s1255,s63,s592,s4660,s471]) ).
cnf(s4694,plain,
( ~ spl0_61
| ~ spl0_89
| spl0_170
| ~ spl0_17
| ~ spl0_118
| ~ spl0_166
| ~ spl0_68
| ~ spl0_181 ),
inference(rat,[],[s1707,s4336,s3947,s3866,s2161,s574,s4663,s3509]) ).
cnf(s4695,plain,
( spl0_192
| spl0_286
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1697,s4309,s3108,s4174,s2759,s4530,s4694,s1780,s4693,s4692,s2348,s407,s436,s471,s19,s4331,s1327,s2110,s149,s2404,s2295,s1665,s63,s1919,s4294,s5,s1284,s4302,s921,s2848,s2223,s4691,s1667,s1305,s4690,s592,s4660]) ).
cnf(s4696,plain,
( ~ spl0_264
| ~ spl0_113
| ~ spl0_120
| spl0_354
| ~ spl0_192
| spl0_286
| ~ spl0_313
| ~ spl0_194 ),
inference(rat,[],[s3127,s3846,s4251,s2014,s1369,s3841,s4454,s711,s2256,s4308,s3108,s1327,s2363]) ).
cnf(s4697,plain,
( spl0_286
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2750,s3487,s2529,s1085,s2057,s4455,s4696,s4673,s1265,s2907,s416,s3221,s1255,s2166,s1204,s4127,s2557,s4309,s4174,s2759,s4530,s3231,s3672,s4695,s5,s1284,s2354,s4302,s3227,s921,s2848,s2143,s2223,s4691,s149,s2404,s2295,s1327,s409,s471,s1667,s19,s1665,s1305,s4690,s592,s63,s4660]) ).
cnf(s4698,plain,
( spl0_318
| spl0_148
| spl0_13
| ~ spl0_313
| ~ spl0_181 ),
inference(rat,[],[s4234,s2689,s2143]) ).
cnf(s4699,plain,
( spl0_136
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1446,s418,s1909,s3234,s2078,s523,s4501,s3653,s2848,s155,s590,s3050,s921,s31,s6,s2932,s1687,s4234,s1547,s4013,s1534,s63,s19,s3501,s2072,s3348,s4698,s1667,s1305,s4690,s592,s4660,s471,s4697]) ).
cnf(s4700,plain,
( spl0_192
| spl0_379
| ~ spl0_23
| ~ spl0_2 ),
inference(rat,[],[s3310,s1501,s407,s63,s4660]) ).
cnf(s4701,plain,
( ~ spl0_111
| spl0_89
| ~ spl0_94
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1729,s3841,s2744,s4454,s1057,s2529,s2900,s1816,s1035,s2843,s2290,s3146,s4455,s4036,s2557,s2166,s414,s4331,s3672,s4700,s2420,s2072,s5,s1284,s4302,s921,s2848,s2223,s1696,s2845,s2896,s360,s3348,s4698,s471,s2465,s2487,s2840,s2790,s2470,s3365,s26,s1542,s1228,s4699,s4697,s19,s1305,s592,s4660,s4310,s1667,s4690]) ).
cnf(s4702,plain,
( spl0_89
| ~ spl0_17
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1057,s4586,s1418,s1911,s4455,s4064,s4309,s4701,s344,s2470,s1696,s3365,s4310,s414,s26,s1542,s2056,s1228,s4699,s4700,s2420,s3348,s4698,s1667,s19,s1305,s4690,s592,s4660,s4530,s3509,s471,s2072,s4697]) ).
cnf(s4703,plain,
( ~ spl0_111
| ~ spl0_17
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2443,s2995,s2890,s2900,s2362,s4454,s4455,s1371,s4036,s1697,s2557,s4331,s1255,s3866,s4336,s2556,s3509,s1696,s3066,s83,s1707,s4702,s3672,s4700,s2420,s19,s5,s1284,s4302,s921,s2848,s2223,s1228,s4699,s2641,s3501,s2072,s414,s100,s3348,s4698,s1667,s1305,s4690,s592,s4660,s471,s4697]) ).
cnf(s4704,plain,
( ~ spl0_17
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2432,s4639,s4586,s1911,s4455,s4064,s4309,s4703,s1696,s2409,s3066,s2907,s83,s1707,s4702,s63,s26,s1542,s2056,s2641,s3501,s414,s100,s1228,s3672,s4700,s2420,s3348,s4698,s2072,s4697,s471,s19,s5,s1284,s4302,s921,s2848,s1667,s1305,s4690,s2223,s4699,s592,s4660]) ).
cnf(s4705,plain,
( ~ spl0_111
| spl0_89
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1815,s3850,s2843,s1581,s4455,s4036,s1929,s2557,s414,s4331,s921,s2848,s2223,s4699,s4700,s2420,s2072,s19,s4497,s3203,s26,s1542,s2840,s2789,s1696,s3360,s3656,s4310,s149,s4704,s3,s3348,s4698,s1667,s1305,s4690,s592,s4660,s471,s4697]) ).
cnf(s4706,plain,
( ~ spl0_264
| ~ spl0_61
| spl0_417
| ~ spl0_147
| spl0_148 ),
inference(rat,[],[s4607,s4601]) ).
cnf(s4707,plain,
( spl0_89
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2432,s4639,s4586,s1911,s4455,s4706,s4309,s4705,s2470,s1696,s3360,s2409,s3656,s2840,s2613,s4497,s4310,s3,s414,s2072,s2056,s100,s3348,s4698,s1667,s1305,s592,s4660,s471,s1228,s4699,s4697,s3203,s26,s1542,s4690,s2789,s149,s4704]) ).
cnf(s4708,plain,
( ~ spl0_111
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2443,s2890,s2995,s4454,s3850,s1371,s2362,s1581,s3866,s4455,s2556,s4036,s2174,s1697,s2557,s3,s4331,s1255,s149,s4704,s4336,s1696,s1635,s3066,s83,s1707,s3672,s4700,s2420,s19,s5,s1284,s4302,s921,s2848,s2223,s1228,s4699,s2641,s3501,s2072,s414,s100,s3348,s4698,s1667,s1305,s4690,s592,s4660,s471,s4697,s4707]) ).
cnf(s4709,plain,
( ~ spl0_264
| ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2529,s4630,s2995,s1566,s2864,s4030,s4331,s26,s1542,s2409,s2907,s1707,s4707,s3672,s4700,s2420,s3348,s4698,s2072,s471,s19,s5,s1284,s4302,s921,s2848,s1667,s1305,s4690,s2223,s592,s1228,s4699,s4697,s63,s4660,s4309,s4708]) ).
cnf(s4710,plain,
( ~ spl0_313
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2432,s4639,s4586,s1911,s4455,s4709,s1696,s2409,s3066,s2907,s83,s1707,s4707,s3672,s4700,s5,s1284,s4302,s921,s2848,s1228,s2223,s4699,s2420,s100,s3348,s4698,s2641,s3501,s2056,s2072,s4697,s19,s1667,s1305,s4690,s63,s592,s4660,s414,s471]) ).
cnf(s4711,plain,
( ~ spl0_264
| spl0_354
| spl0_141
| ~ spl0_308
| spl0_286
| spl0_417
| ~ spl0_68
| ~ spl0_2 ),
inference(rat,[],[s2318,s1816,s4454,s2843,s2256]) ).
cnf(s4712,plain,
( spl0_13
| spl0_293
| ~ spl0_263
| ~ spl0_318
| spl0_61
| spl0_235
| ~ spl0_171
| ~ spl0_203
| spl0_89
| ~ spl0_2 ),
inference(rat,[],[s2529,s2750,s2744,s1446,s3487,s2465,s5,s2487,s1284,s19,s592,s4660]) ).
cnf(s4713,plain,
( spl0_303
| ~ spl0_236
| spl0_293
| ~ spl0_197
| ~ spl0_308
| ~ spl0_2 ),
inference(rat,[],[s5,s1201,s3487,s4454,s3899,s2318,s4294,s1955,s592,s4660]) ).
cnf(s4714,plain,
( spl0_286
| spl0_95
| spl0_192
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s3102,s1738,s2155,s1816,s3204,s2664,s4713,s533,s4712,s1085,s4455,s4711,s1204,s12,s2516,s3862,s1614,s2190,s23,s2759,s2063,s1466,s4530,s2663,s574,s2163,s1616,s1919,s4302,s3227,s4294,s1955,s1939,s902,s2360,s3120,s4658,s2114,s2381,s1327,s63,s592,s4660,s4310,s2766,s2348,s4331,s2322,s2055,s3852,s3777,s2875,s471,s2146,s436,s414,s4710]) ).
cnf(s4715,plain,
( ~ spl0_264
| spl0_95
| spl0_192
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1717,s1381,s1659,s4530,s3841,s3349,s1929,s2573,s4294,s4309,s1995,s1955,s2864,s2461,s1484,s3180,s2529,s1215,s4454,s2333,s2843,s3715,s3146,s3148,s63,s592,s4660,s1780,s2636,s4310,s4331,s3240,s2322,s2055,s26,s1258,s3852,s3777,s2875,s2146,s436,s414,s3070,s4714,s471,s4710]) ).
cnf(s4716,plain,
( spl0_61
| ~ spl0_263
| ~ spl0_286
| spl0_146
| spl0_89
| spl0_95
| ~ spl0_17
| ~ spl0_84 ),
inference(rat,[],[s3204,s1057,s1421,s1418,s2155,s1696,s3055,s4530,s4310,s26,s1258,s1889]) ).
cnf(s4717,plain,
( ~ spl0_275
| ~ spl0_263
| ~ spl0_286
| spl0_346
| ~ spl0_309
| ~ spl0_68
| ~ spl0_84 ),
inference(rat,[],[s2113,s4454,s2595,s3275,s4031,s2155,s902,s1696,s1889,s1214,s1780]) ).
cnf(s4718,plain,
( spl0_95
| spl0_192
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s5,s3487,s578,s3546,s3879,s915,s2762,s83,s12,s2407,s3066,s3052,s2752,s4717,s1998,s1929,s4716,s1214,s1889,s4455,s4715,s100,s574,s3070,s4714,s1695,s3724,s3240,s4310,s2322,s2875,s592,s4660,s1780,s2055,s471,s3283,s436,s4710,s414,s2636,s2146]) ).
cnf(s4719,plain,
( spl0_286
| ~ spl0_148
| spl0_192
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s155,s6,s4361,s1534,s2778,s1662,s3862,s23,s1466,s2663,s574,s2163,s1919,s2247,s4294,s3120,s1955,s2766,s902,s2189,s2551,s3230,s2114,s2381,s63,s592,s4660,s414,s471,s1251,s2055,s4710,s2348,s436,s2636,s2146]) ).
cnf(s4720,plain,
( ~ spl0_275
| ~ spl0_148
| spl0_192
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1659,s3739,s3349,s4251,s2333,s705,s3148,s4455,s4169,s4051,s2247,s2624,s2778,s2768,s3048,s4294,s1955,s902,s2246,s1696,s63,s1780,s407,s2487,s23,s1466,s1850,s2722,s2055,s5,s4512,s3947,s2852,s360,s574,s3070,s471,s26,s1258,s1602,s3386,s4719,s4710,s2146,s19,s1305,s4718,s592,s4660]) ).
cnf(s4721,plain,
( ~ spl0_148
| spl0_192
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1955,s3188,s1482,s3719,s4597,s3060,s4720,s100,s4530,s574,s1602,s1850,s3070,s3386,s4719,s2722,s63,s592,s4660,s471,s2055,s4710,s2146]) ).
cnf(s4722,plain,
( spl0_286
| spl0_192
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1085,s4712,s4455,s4711,s1939,s3852,s2360,s3777,s1204,s1697,s12,s4309,s1614,s4174,s2759,s4530,s2663,s574,s2163,s2516,s1919,s4234,s4302,s3227,s4294,s1955,s902,s2551,s2114,s2381,s63,s414,s1251,s1780,s2055,s4710,s471,s1305,s4718,s592,s4660,s3240,s4721,s436]) ).
cnf(s4723,plain,
( ~ spl0_275
| spl0_192
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2807,s1717,s704,s1659,s83,s3841,s2318,s3349,s2470,s4454,s2333,s1228,s3715,s3148,s4234,s4294,s4455,s1955,s4717,s902,s63,s1780,s2055,s471,s2146,s1305,s4718,s592,s4660,s4331,s3240,s3724,s4721,s3283,s436,s4710,s414,s4722]) ).
cnf(s4724,plain,
( ~ spl0_264
| spl0_308
| ~ spl0_147
| ~ spl0_38
| spl0_397
| ~ spl0_285
| ~ spl0_95
| spl0_313
| ~ spl0_2 ),
inference(rat,[],[s1484,s2995,s4454,s2864,s3715,s2055]) ).
cnf(s4725,plain,
( spl0_192
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2834,s3302,s1880,s1721,s3625,s1570,s2407,s3626,s2306,s1214,s1889,s4455,s4724,s4316,s1955,s921,s4309,s3819,s3188,s1687,s1929,s2347,s3719,s3050,s3055,s3056,s3060,s2752,s4723,s100,s574,s3070,s3386,s4722,s1695,s26,s3240,s1650,s4331,s4721,s3310,s19,s1305,s4718,s2636,s2146,s407,s436,s63,s592,s4660,s414,s1780,s2055,s4710,s471]) ).
cnf(s4726,plain,
( ~ spl0_266
| spl0_286
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2407,s2408,s1816,s2595,s3841,s2318,s2113,s1780,s574,s2163,s1919,s4294,s1955,s902,s2551,s2381,s1251,s3230,s414,s471,s2055,s63,s2114,s4710,s592,s4660]) ).
cnf(s4727,plain,
( spl0_89
| spl0_95
| spl0_286
| ~ spl0_148
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s3910,s2233,s2749,s2180,s2498,s2891,s2018,s1467,s1375,s2231,s23,s3746,s3859,s2634,s3947,s4628,s533,s511,s2409,s19,s2613,s2775,s3342,s1250,s4309,s2557,s4725,s2354,s3227,s574,s2163,s1919,s4294,s1955,s902,s2551,s2381,s1251,s3230,s414,s471,s63,s2114,s592,s4660,s4454,s4726,s149,s2322,s2055,s4710]) ).
cnf(s4728,plain,
( spl0_95
| spl0_286
| ~ spl0_148
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s23,s1467,s2634,s1330,s4634,s1635,s4727,s1867,s149,s2322,s1222,s4309,s2557,s4725,s574,s2163,s1919,s4294,s1955,s902,s2551,s2381,s1251,s471,s2055,s63,s2114,s592,s4660,s4455,s3715,s4454,s4726,s4710,s3230,s414]) ).
cnf(s4729,plain,
( spl0_286
| ~ spl0_148
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s23,s1467,s2634,s3499,s2488,s2465,s813,s1707,s2744,s915,s523,s3947,s2074,s1867,s3736,s149,s1330,s2636,s3282,s1635,s2178,s3235,s4673,s2109,s3183,s19,s1305,s4728,s974,s4455,s3715,s4454,s4726,s1222,s2354,s4309,s3227,s2557,s1955,s902,s2551,s3230,s2114,s2381,s1327,s63,s592,s4660,s414,s471,s1251,s2055,s4710,s4725]) ).
cnf(s4730,plain,
( ~ spl0_275
| ~ spl0_148
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1717,s1566,s2318,s4251,s4454,s705,s3698,s4455,s348,s4051,s3866,s344,s4336,s2768,s3048,s3947,s3235,s5,s2852,s2556,s3183,s4512,s19,s1305,s2322,s3203,s23,s26,s360,s1466,s4497,s1258,s2557,s1955,s2189,s902,s2246,s1696,s63,s1780,s2055,s1718,s1850,s2680,s4725,s574,s3070,s4729,s471,s4710,s592,s4660]) ).
cnf(s4731,plain,
( spl0_89
| spl0_17
| spl0_61
| spl0_195 ),
inference(rat,[],[s3203,s26,s4497,s1258]) ).
cnf(s4732,plain,
( ~ spl0_266
| ~ spl0_9
| ~ spl0_145
| ~ spl0_309
| ~ spl0_2 ),
inference(rat,[],[s3482,s1484,s3868,s1955,s592,s4660]) ).
cnf(s4733,plain,
( spl0_136
| spl0_405
| ~ spl0_264
| ~ spl0_89
| ~ spl0_145
| ~ spl0_146
| ~ spl0_355
| spl0_58
| spl0_164
| spl0_313
| ~ spl0_2 ),
inference(rat,[],[s2751,s2217,s2913,s3714,s4454,s4732,s5,s1287,s4495,s1707,s2183,s3947,s1991,s4336,s1375,s2849,s3496,s3375,s4388,s592,s2055,s3342,s63,s4660,s100]) ).
cnf(s4734,plain,
( ~ spl0_266
| ~ spl0_30
| ~ spl0_47
| ~ spl0_111
| ~ spl0_145
| ~ spl0_309
| ~ spl0_2 ),
inference(rat,[],[s2882,s1519,s1484,s3868,s1955,s592,s4660]) ).
cnf(s4735,plain,
( ~ spl0_264
| spl0_95
| ~ spl0_148
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1570,s2744,s2505,s1317,s3692,s3715,s4454,s4734,s1446,s418,s3163,s3234,s3707,s4,s590,s3652,s4478,s19,s2945,s12,s3947,s4662,s3763,s2778,s2498,s3711,s4733,s2579,s1718,s3360,s3,s3055,s3188,s100,s574,s3070,s592,s63,s4660,s2247,s3063,s149,s3719,s3060,s4730,s4530,s4731,s2322,s2055,s4710,s1850,s4729,s471,s2680,s4725]) ).
cnf(s4736,plain,
( ~ spl0_263
| ~ spl0_148
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s4732,s4454,s5,s1190,s578,s1236,s3879,s3625,s3629,s2407,s4376,s1214,s409,s1780,s2055,s3386,s2752,s414,s3188,s3719,s3060,s4730,s100,s574,s3070,s4729,s471,s4710,s592,s63,s4660]) ).
cnf(s4737,plain,
( spl0_89
| spl0_275
| spl0_61
| ~ spl0_192
| ~ spl0_309
| spl0_195 ),
inference(rat,[],[s4127,s4731,s4597,s4530]) ).
cnf(s4738,plain,
( ~ spl0_148
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1236,s3010,s1190,s1570,s2407,s4376,s2744,s1215,s1317,s3692,s3715,s4454,s1446,s4734,s418,s3163,s3234,s3707,s4,s590,s3652,s4478,s2945,s12,s3947,s4662,s2166,s3063,s2498,s149,s4733,s1602,s4737,s19,s1305,s4735,s2579,s4455,s4736,s3188,s3719,s3055,s3060,s2752,s3360,s4730,s100,s4530,s574,s1850,s1718,s3070,s3386,s4729,s2680,s63,s3,s592,s4660,s414,s409,s471,s2055,s4710,s4725]) ).
cnf(s4739,plain,
( spl0_286
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2462,s3947,s2183,s2086,s533,s1665,s2404,s149,s3231,s196,s2759,s2163,s2694,s2107,s4174,s1919,s3120,s4309,s4294,s2557,s1955,s902,s2551,s2295,s3230,s2114,s2381,s63,s414,s471,s1251,s2055,s4710,s1250,s4725,s592,s4660,s4331,s26,s1650,s4738]) ).
cnf(s4740,plain,
( ~ spl0_48
| spl0_89
| ~ spl0_308
| ~ spl0_275
| spl0_61
| ~ spl0_286
| ~ spl0_192 ),
inference(rat,[],[s2470,s1228,s1232,s134,s4657,s23,s1466]) ).
cnf(s4741,plain,
( spl0_89
| ~ spl0_275
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s4455,s4064,s4051,s1434,s344,s388,s2470,s1444,s1228,s3309,s4013,s19,s533,s3947,s4740,s4731,s360,s63,s2982,s1780,s1250,s26,s1650,s4738,s574,s592,s4660,s1964,s3070,s1696,s4739,s4309,s2557,s902,s471,s2055,s4710,s4725]) ).
cnf(s4742,plain,
( ~ spl0_17
| ~ spl0_275
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s2907,s2409,s2470,s4051,s1228,s4455,s4013,s4064,s1305,s2875,s63,s592,s4660,s1780,s26,s1650,s4738,s1696,s4739,s4309,s2557,s902,s471,s2055,s4710,s4725,s4741]) ).
cnf(s4743,plain,
( spl0_13
| spl0_111
| spl0_145
| ~ spl0_275
| spl0_61
| spl0_58
| ~ spl0_141
| ~ spl0_286
| spl0_148
| spl0_306
| spl0_195
| spl0_6 ),
inference(rat,[],[s2776,s3744,s3688,s3127,s3841,s4030,s4454,s4455,s3698,s3947,s4051,s348,s3712,s2409,s3866,s499,s2907,s4336,s2470,s3235,s1228,s2556,s3183,s4013,s3659,s19,s63,s3,s1696,s4309]) ).
cnf(s4744,plain,
( ~ spl0_275
| spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1446,s418,s4501,s3234,s155,s590,s6,s2945,s2120,s533,s511,s4743,s4742,s2557,s1955,s902,s63,s1780,s2055,s1250,s4738,s574,s592,s4660,s1964,s3070,s4739,s471,s4710,s4725]) ).
cnf(s4745,plain,
( spl0_195
| ~ spl0_2 ),
inference(rat,[],[s1446,s418,s3064,s3234,s590,s2945,s533,s511,s19,s3663,s149,s4127,s4309,s3346,s3754,s2567,s3050,s3056,s3191,s4744,s4530,s1964,s574,s3070,s4739,s4738,s1250,s4725,s2055,s4710,s471,s63,s592,s4660]) ).
cnf(s4746,plain,
( spl0_309
| spl0_192
| ~ spl0_148
| ~ spl0_275
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s1493,s1431,s3180,s2529,s388,s4552,s1444,s5,s3309,s4512,s9,s19,s2708,s2848,s2689,s921,s31,s4294,s1851,s3653,s3947,s1920,s100,s590,s2856,s2083,s360,s574,s2932,s2532,s2190,s4388,s1602,s1667,s2411,s2429,s2001,s2055,s63,s592,s2427,s4745,s2146,s526,s4660]) ).
cnf(s4747,plain,
( spl0_58
| ~ spl0_145
| spl0_89
| spl0_13
| ~ spl0_119
| spl0_313
| ~ spl0_309
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s986,s1659,s4455,s3274,s2913,s2256,s4454,s4732,s3754,s5,s3742,s4512,s100,s592,s4660,s3219,s2363,s2761,s2114]) ).
cnf(s4748,plain,
( ~ spl0_264
| spl0_141
| spl0_354
| spl0_89
| ~ spl0_147
| ~ spl0_309
| spl0_308
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s2910,s3735,s3385,s1484,s4454,s2256,s2292,s4745]) ).
cnf(s4749,plain,
( ~ spl0_266
| spl0_141
| spl0_89
| ~ spl0_119
| ~ spl0_309
| ~ spl0_50
| spl0_308
| ~ spl0_2 ),
inference(rat,[],[s2910,s3735,s2273,s3385,s1967,s1484,s4745]) ).
cnf(s4750,plain,
( spl0_192
| ~ spl0_148
| ~ spl0_275
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s2175,s2756,s2891,s4389,s972,s2995,s2434,s3499,s1570,s813,s1659,s986,s2913,s4454,s4749,s974,s4455,s4748,s3064,s590,s3966,s2380,s3266,s574,s307,s4747,s2387,s3071,s3310,s4700,s2363,s4310,s19,s3219,s2761,s2458,s1305,s4309,s1239,s480,s2114,s2322,s1482,s4196,s1027,s4746,s1568,s2146,s407,s436,s63,s592,s4660,s1327,s2427,s4745]) ).
cnf(s4751,plain,
( ~ spl0_17
| ~ spl0_119
| spl0_313
| ~ spl0_192
| ~ spl0_148
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s307,s3266,s4747,s523,s3227,s3947,s2465,s2857,s2380,s1964,s3071,s2487,s4310,s19,s2766,s1222,s2458,s1305,s3120,s4309,s2322,s4127,s592,s4660,s4745,s1327,s2055]) ).
cnf(s4752,plain,
( ~ spl0_58
| spl0_174
| spl0_89
| ~ spl0_23
| ~ spl0_36
| spl0_68
| ~ spl0_192
| ~ spl0_2 ),
inference(rat,[],[s1570,s1064,s1887,s2753,s2434,s2529,s4163,s3707,s3517,s3652,s4657,s12,s3947,s523,s2380,s3266,s574,s307,s592,s4660,s4745]) ).
cnf(s4753,plain,
( spl0_89
| spl0_13
| ~ spl0_36
| spl0_68
| spl0_313
| ~ spl0_192
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s918,s1919,s4747,s2163,s4752,s3726,s2055,s2114,s480,s19,s1665,s63,s4660]) ).
cnf(s4754,plain,
( spl0_13
| ~ spl0_148
| ~ spl0_275
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s2504,s4530,s2978,s3949,s4753,s3659,s3,s4660,s149,s4751,s480,s4196,s2055,s2647,s4745,s2246,s4750]) ).
cnf(s4755,plain,
( ~ spl0_148
| ~ spl0_275
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s4453,s2978,s1222,s4657,s1867,s3947,s513,s3517,s533,s511,s1305,s4754,s149,s4751,s480,s4196,s2114,s2055,s1250,s2647,s4750,s2246,s592,s4660,s4745]) ).
cnf(s4756,plain,
( spl0_309
| spl0_192
| spl0_148
| ~ spl0_275
| ~ spl0_2 ),
inference(rat,[],[s3653,s590,s31,s2932,s1547,s2429,s2055,s63,s592,s4660,s4745]) ).
cnf(s4757,plain,
( spl0_192
| ~ spl0_275
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s2411,s2761,s574,s4174,s1972,s4309,s2156,s480,s1482,s4196,s4756,s436,s63,s592,s4660,s2427,s4745,s2110,s4755]) ).
cnf(s4758,plain,
( ~ spl0_313
| ~ spl0_275
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s4528,s4478,s1305,s513,s523,s1483,s2848,s4309,s921,s4174,s4294,s1851,s1920,s100,s2083,s6,s1964,s574,s2190,s4388,s1534,s2411,s2429,s592,s4660,s4745,s4755,s4757]) ).
cnf(s4759,plain,
( ~ spl0_275
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s2154,s4659,s3656,s4753,s4310,s149,s2978,s4127,s4309,s4174,s2761,s480,s4196,s2055,s4758,s4757,s26,s1650,s4755,s3,s4660,s4745]) ).
cnf(s4760,plain,
( spl0_89
| ~ spl0_23
| spl0_309
| ~ spl0_50
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s921,s2848,s1861,s513,s1960,s344,s3075,s63,s592,s4660,s4745,s3109,s4759,s2055]) ).
cnf(s4761,plain,
( ~ spl0_29
| ~ spl0_355
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s3936,s3496,s513,s2223,s63,s4660,s4745]) ).
cnf(s4762,plain,
( spl0_13
| spl0_309
| spl0_192
| ~ spl0_148
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s6,s4528,s2120,s3498,s3189,s4309,s4662,s2498,s2624,s1851,s2729,s100,s4294,s307,s921,s3266,s2848,s4761,s1223,s79,s2875,s4760,s3659,s19,s3,s592,s4745,s3109,s3121,s4759,s1327,s436,s2146,s528,s4660,s1255,s1667,s2055]) ).
cnf(s4763,plain,
( spl0_309
| spl0_192
| ~ spl0_148
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s3266,s307,s4761,s100,s2154,s1851,s2689,s2143,s2708,s4762,s2055,s3,s592,s4660,s4745,s3121,s4759,s1327,s2146]) ).
cnf(s4764,plain,
( spl0_192
| ~ spl0_148
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s3498,s3947,s2498,s2556,s2852,s1851,s2163,s360,s100,s574,s2380,s26,s344,s1258,s19,s2114,s2458,s1305,s1027,s2322,s4763,s1568,s2146,s63,s592,s4660,s4745,s3109,s3121,s4759,s1327]) ).
cnf(s4765,plain,
( spl0_309
| ~ spl0_148
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s3936,s3271,s3947,s513,s2223,s533,s511,s3659,s1805,s3189,s3120,s4309,s3517,s1483,s1667,s2055,s1255,s3,s4745,s4759,s1250,s4764,s592,s4660]) ).
cnf(s4766,plain,
( ~ spl0_264
| ~ spl0_143
| spl0_422
| ~ spl0_64
| ~ spl0_70
| spl0_275
| ~ spl0_276 ),
inference(rat,[],[s1032,s3747,s2290,s3694]) ).
cnf(s4767,plain,
( ~ spl0_313
| ~ spl0_148
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s1467,s3313,s2505,s3846,s2529,s1153,s4455,s4766,s1707,s2624,s2428,s2729,s75,s100,s2556,s4676,s4294,s307,s19,s921,s3266,s511,s2848,s23,s4761,s2633,s4597,s2108,s4530,s10,s3517,s1483,s2322,s1027,s1667,s592,s4660,s4745,s4308,s3109,s4759,s4764,s4765]) ).
cnf(s4768,plain,
( ~ spl0_17
| ~ spl0_68
| ~ spl0_309
| ~ spl0_192
| ~ spl0_148
| spl0_275
| ~ spl0_195 ),
inference(rat,[],[s4597,s4530,s2458,s3231,s2322,s4127]) ).
cnf(s4769,plain,
( spl0_13
| ~ spl0_36
| ~ spl0_174
| ~ spl0_202
| ~ spl0_192
| ~ spl0_2 ),
inference(rat,[],[s3712,s3947,s476,s523,s2380,s3266,s574,s307,s2163,s2556,s3949,s2458,s3079,s3659,s1665,s19,s63,s3,s592,s4660,s4745]) ).
cnf(s4770,plain,
( ~ spl0_148
| spl0_286
| ~ spl0_2 ),
inference(rat,[],[s590,s3064,s2945,s513,s533,s511,s4769,s149,s4768,s480,s2761,s3191,s2114,s4767,s4765,s1250,s4764,s63,s592,s4660,s4745,s3121,s4759,s1327]) ).
cnf(s4771,plain,
( spl0_286
| ~ spl0_2 ),
inference(rat,[],[s3266,s307,s4761,s1972,s1223,s2761,s2156,s79,s480,s2875,s2146,s436,s3949,s2458,s196,s4310,s2759,s4658,s2110,s4770,s3121,s4759,s1327,s63,s592,s4660,s4745]) ).
cnf(s4772,plain,
( ~ spl0_366
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s3360,s4761,s3348,s2848,s480,s2689,s921,s1859,s1861,s63,s3,s592,s4660,s2411,s2072,s4771,s4745]) ).
cnf(s4773,plain,
( spl0_309
| spl0_192
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s1950,s4294,s307,s921,s3266,s2848,s2223,s1547,s31,s3653,s4,s590,s3325,s2875,s2458,s3075,s1960,s1255,s63,s2380,s592,s4660,s4564,s4772,s2146,s2411,s2072,s4771,s4745,s436]) ).
cnf(s4774,plain,
( spl0_29
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s3066,s100,s3028,s307,s921,s3266,s2848,s2411,s4336,s83,s2380,s2072,s4771,s592,s4660,s4745]) ).
cnf(s4775,plain,
( spl0_192
| ~ spl0_148
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s4564,s2146,s436,s2411,s2072,s4771,s4745,s4772]) ).
cnf(s4776,plain,
( ~ spl0_148
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s1889,s4618,s4455,s3352,s3132,s3118,s3196,s2776,s4617,s10,s1270,s3260,s23,s314,s4597,s134,s3947,s4480,s73,s4530,s4679,s1515,s523,s1483,s3517,s4775,s1667,s1718,s63,s4336,s2380,s592,s4388,s2223,s307,s3360,s4761,s4774,s3,s4660,s2411,s2072,s4771,s4745]) ).
cnf(s4777,plain,
( spl0_192
| ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s3325,s590,s3501,s3653,s4773,s63,s2380,s2072,s4771,s592,s4660,s4745,s31,s1547,s4776,s2223,s4774]) ).
cnf(s4778,plain,
( ~ spl0_313
| ~ spl0_2 ),
inference(rat,[],[s314,s310,s3947,s1531,s523,s2647,s4777,s3056,s4776,s2223,s4774,s2380,s2411,s2072,s592,s4660,s4745,s4771]) ).
cnf(s4779,plain,
( spl0_136
| ~ spl0_61
| ~ spl0_265
| ~ spl0_83
| ~ spl0_23
| ~ spl0_147
| ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s1756,s2849,s2679,s4455,s3625,s3499,s973,s3275,s2913,s3036,s3375,s3496,s3342,s63,s4660,s3386,s4778,s4771]) ).
cnf(s4780,plain,
( ~ spl0_264
| ~ spl0_265
| ~ spl0_9
| ~ spl0_29
| ~ spl0_95
| spl0_111
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s1717,s4251,s1236,s1659,s2688,s1192,s3487,s2862,s4389,s972,s2995,s1317,s3692,s3715,s2679,s592,s4660,s4778,s407,s2146,s4309]) ).
cnf(s4781,plain,
( spl0_58
| ~ spl0_29
| spl0_72
| ~ spl0_148
| ~ spl0_275
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s972,s2776,s2434,s3688,s1911,s4455,s4780,s4454,s4732,s5,s4512,s3,s1696,s1482,s1602,s3386,s4771,s2387,s4700,s19,s1305,s2322,s2146,s592,s2427,s4336,s3064,s590,s3325,s4196,s4745,s2055,s4778,s63,s4660]) ).
cnf(s4782,plain,
( ~ spl0_58
| ~ spl0_83
| ~ spl0_152
| spl0_89
| ~ spl0_275
| ~ spl0_50
| ~ spl0_2 ),
inference(rat,[],[s3714,s2217,s4455,s1064,s3625,s2753,s3275,s2913,s3036,s4454,s3375,s3496,s4388,s4749,s4650,s574,s592,s3342,s63,s4660,s3386,s4771,s2427,s480,s4196,s4745,s2055,s4778]) ).
cnf(s4783,plain,
( spl0_278
| spl0_44
| ~ spl0_20
| ~ spl0_9
| ~ spl0_47 ),
inference(rat,[],[s1742,s3487,s1570]) ).
cnf(s4784,plain,
( ~ spl0_136
| ~ spl0_265
| ~ spl0_20
| ~ spl0_9
| spl0_29
| ~ spl0_148
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s3692,s1695,s4455,s3746,s2750,s3739,s2529,s1317,s2744,s1659,s4783,s2498,s2516,s436,s3310,s19,s1305,s2322,s2055,s4778,s2146,s592,s407,s63,s4660]) ).
cnf(s4785,plain,
( spl0_72
| ~ spl0_148
| ~ spl0_275
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s508,s3525,s3775,s2634,s3862,s23,s973,s3275,s1466,s2913,s3036,s4779,s3375,s3496,s4784,s4454,s4732,s3947,s5,s2852,s4781,s4512,s360,s4782,s4336,s3342,s63,s436,s4196,s4309,s1482,s26,s1258,s1602,s3386,s4771,s921,s2387,s4700,s19,s1305,s2322,s2146,s592,s4660,s2427,s4745,s2055,s4778]) ).
cnf(s4786,plain,
( ~ spl0_264
| ~ spl0_303
| ~ spl0_265
| spl0_136
| ~ spl0_23
| ~ spl0_147
| ~ spl0_17
| ~ spl0_181 ),
inference(rat,[],[s1659,s1717,s2217,s1756,s3714,s2849,s2679,s4388]) ).
cnf(s4787,plain,
( ~ spl0_61
| ~ spl0_288
| spl0_278
| ~ spl0_263
| ~ spl0_20
| ~ spl0_9
| ~ spl0_72
| ~ spl0_82
| spl0_164
| ~ spl0_369 ),
inference(rat,[],[s4031,s2042,s2502,s3480,s3498]) ).
cnf(s4788,plain,
( ~ spl0_148
| ~ spl0_275
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s3727,s3480,s4783,s1426,s4787,s1570,s1659,s3635,s4455,s4786,s2913,s3375,s4454,s2768,s4732,s3947,s5,s2852,s4512,s360,s574,s2380,s4785,s2387,s3310,s4700,s26,s9,s19,s4310,s1258,s1305,s1602,s2322,s1718,s2246,s592,s3342,s63,s4660,s3386,s407,s2146,s1696,s4771,s4309,s1482,s2427,s4745,s2055,s4778]) ).
cnf(s4789,plain,
( spl0_89
| spl0_58
| ~ spl0_145
| spl0_13
| spl0_72
| spl0_146
| ~ spl0_38
| spl0_397
| ~ spl0_369
| ~ spl0_2 ),
inference(rat,[],[s2580,s4639,s3626,s1911,s1885,s4455,s3746,s3715,s4454,s4732,s3947,s5,s2852,s4512,s360,s2055,s4778,s4336,s19,s921,s100]) ).
cnf(s4791,plain,
( ~ spl0_265
| ~ spl0_20
| ~ spl0_70
| ~ spl0_152
| spl0_72
| spl0_146
| spl0_397
| ~ spl0_369
| spl0_313 ),
inference(rat,[],[s2580,s4639,s3626,s1911,s1885,s4455,s3746,s3715,s4336]) ).
cnf(s4792,plain,
( ~ spl0_266
| ~ spl0_164
| ~ spl0_145
| ~ spl0_83
| ~ spl0_275
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s4455,s3146,s4176,s2834,s2590,s3302,s1236,s2882,s1733,s1967,s1484,s3868,s63,s592,s4660,s436,s407,s1696,s4771,s1482,s2427,s4745,s2055,s4778,s4788]) ).
cnf(s4793,plain,
( spl0_13
| spl0_72
| ~ spl0_275
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s6,s4528,s2120,s4791,s4454,s4792,s3260,s4789,s100,s4650,s921,s2387,s4700,s19,s2146,s528,s2427,s1696,s4771,s26,s1650,s1695,s3240,s436,s4336,s1547,s31,s3653,s590,s3325,s4196,s4745,s2055,s4778,s63,s4660,s4788]) ).
cnf(s4794,plain,
( ~ spl0_266
| ~ spl0_145
| spl0_89
| spl0_148
| ~ spl0_119
| spl0_308
| ~ spl0_50
| ~ spl0_2 ),
inference(rat,[],[s4455,s3146,s3878,s2834,s578,s5,s3302,s2882,s4749,s4732,s1967,s1484,s3868,s63,s592,s4660,s4771,s2055,s4778]) ).
cnf(s4795,plain,
( ~ spl0_265
| ~ spl0_70
| ~ spl0_13
| ~ spl0_136
| spl0_72
| spl0_146
| spl0_397
| ~ spl0_369
| spl0_313 ),
inference(rat,[],[s2580,s2259,s4639,s2306,s1911,s4455,s3746,s3715,s4336]) ).
cnf(s4796,plain,
( ~ spl0_264
| ~ spl0_236
| spl0_439
| spl0_148
| ~ spl0_147 ),
inference(rat,[],[s1879,s2834,s4030,s3146]) ).
cnf(s4797,plain,
( spl0_58
| spl0_89
| spl0_72
| ~ spl0_275
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s2910,s1418,s1911,s4455,s4796,s533,s2859,s132,s146,s1501,s2387,s3302,s2273,s4794,s1967,s4454,s4795,s22,s360,s100,s1696,s4771,s480,s4309,s1482,s2427,s1695,s3240,s436,s1547,s31,s3653,s590,s3325,s4196,s4745,s2055,s4778,s63,s4660,s4788,s4793]) ).
cnf(s4798,plain,
( spl0_89
| spl0_72
| ~ spl0_275
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s1879,s3349,s533,s3746,s1193,s3947,s4294,s4454,s4657,s921,s4749,s2167,s4650,s574,s4797,s592,s407,s1482,s2427,s480,s1695,s3240,s436,s1228,s1547,s31,s3653,s590,s3325,s4196,s4745,s2055,s4778,s63,s4660,s4788,s4771,s4793]) ).
cnf(s4799,plain,
( ~ spl0_263
| ~ spl0_349
| ~ spl0_266
| ~ spl0_164
| ~ spl0_136
| ~ spl0_83
| spl0_111
| ~ spl0_369
| ~ spl0_193
| ~ spl0_286 ),
inference(rat,[],[s2590,s4176,s1155]) ).
cnf(s4800,plain,
( spl0_72
| ~ spl0_275
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s1733,s2837,s4177,s2864,s4455,s4799,s2273,s1236,s4792,s1967,s1484,s4454,s4795,s100,s2086,s3260,s4798,s4793,s1547,s31,s3653,s590,s3325,s4336,s63,s592,s4660,s407,s2146,s1696,s4771,s480,s4196,s4309,s1482,s2427,s4745,s2055,s4331,s26,s1650,s1695,s3240,s4788,s4778,s436]) ).
cnf(s4801,plain,
( ~ spl0_136
| ~ spl0_72
| ~ spl0_275
| ~ spl0_286 ),
inference(rat,[],[s2470,s1228]) ).
cnf(s4803,plain,
( ~ spl0_266
| ~ spl0_263
| ~ spl0_145
| spl0_311
| ~ spl0_141
| ~ spl0_2 ),
inference(rat,[],[s578,s5,s3878,s4732,s1150,s592,s4660,s4771,s2055,s4778]) ).
cnf(s4804,plain,
( ~ spl0_275
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s3910,s3737,s1659,s2626,s1717,s3204,s2913,s3746,s4454,s4803,s4455,s4609,s1120,s24,s412,s1662,s12,s533,s590,s4362,s4361,s3653,s156,s155,s1305,s31,s6,s4013,s1547,s3375,s4388,s1534,s4801,s1207,s2380,s4800,s1695,s3240,s4788,s4309,s1901,s1482,s4196,s2427,s592,s4745,s4771,s2055,s3342,s4778,s63,s4660,s436,s2146]) ).
cnf(s4805,plain,
( spl0_72
| spl0_89
| ~ spl0_148
| spl0_275
| ~ spl0_2 ),
inference(rat,[],[s2778,s2247,s3496,s3947,s4597,s3360,s4657,s4530,s574,s1850,s3501,s3322,s662,s3064,s4336,s63,s3,s592,s4660,s4771,s3191,s2722,s2055,s4778]) ).
cnf(s4806,plain,
( spl0_136
| ~ spl0_148
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s4597,s4530,s1482,s1850,s1955,s3014,s3048,s3375,s3342,s63,s2722,s5,s4512,s574,s2380,s4805,s4804,s4745,s1305,s2322,s2055,s592,s4660,s1602,s2146,s3386,s4778,s4771]) ).
cnf(s4807,plain,
( ~ spl0_148
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s3925,s4597,s3498,s4662,s2498,s4806,s3947,s2852,s360,s574,s2380,s4805,s26,s19,s1258,s1305,s1602,s2322,s592,s4745,s2055,s3386,s4778,s4771,s2146,s528,s4660,s4804]) ).
cnf(s4808,plain,
( spl0_72
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s3066,s100,s1998,s4310,s574,s1929,s3260,s3501,s1790,s3322,s662,s3064,s83,s63,s592,s4660,s4745,s4771,s2055,s2146,s3191,s3055,s1695,s3240,s4807,s4778,s436,s4804]) ).
cnf(s4809,plain,
( spl0_136
| ~ spl0_82
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s12,s3052,s533,s1998,s4362,s1929,s156,s1790,s155,s19,s31,s3014,s6,s1687,s1547,s3375,s1534,s4771,s3342,s63,s2146,s3055,s1695,s3240,s4807,s4778,s436,s100,s3050,s574,s2380,s4808,s4745,s592,s4660,s4804]) ).
cnf(s4810,plain,
( spl0_13
| spl0_89
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s3487,s2762,s3546,s2407,s1214,s1889,s1780,s4455,s480,s4706,s3344,s4309,s3674,s2768,s3947,s5,s2852,s4512,s19,s2055,s407,s26,s1650,s3055,s1695,s3240,s4778,s436,s360,s574,s2380,s4808,s4745,s592,s4660,s3229,s2840,s3228,s4331,s4804,s4807,s1228,s4809,s4310,s4771]) ).
cnf(s4811,plain,
( spl0_89
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s578,s5,s3879,s3487,s2762,s3546,s2407,s1214,s1889,s4455,s4706,s4309,s1929,s1790,s1780,s480,s3364,s1444,s388,s1434,s1305,s4810,s1228,s4809,s2840,s3229,s4310,s4771,s2982,s2055,s2146,s3228,s4331,s3055,s1695,s3240,s4807,s4778,s436,s4804,s2380,s4808,s592,s4660,s4745]) ).
cnf(s4812,plain,
( ~ spl0_264
| ~ spl0_308
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s2751,s2318,s3349,s3209,s4454,s2333,s3715,s3148,s63,s4778,s4804,s3240,s4807,s436,s4808,s480,s2875,s2458,s4745,s4811,s2146,s4294,s1955,s592,s4660]) ).
cnf(s4813,plain,
( ~ spl0_266
| ~ spl0_308
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s2750,s3538,s2318,s2113,s2516,s3375,s3014,s2875,s2458,s4745,s2146,s3342,s63,s157,s6,s2120,s3498,s1265,s4811,s4808,s3055,s1695,s3240,s4807,s4778,s436,s4804,s4660,s4455,s4812]) ).
cnf(s4814,plain,
( ~ spl0_111
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s2076,s1881,s1365,s3746,s4454,s4813,s1214,s4455,s4812,s4294,s1955,s1909,s1482,s3674,s4771,s2055,s4374,s3055,s1695,s3240,s4807,s4778,s436,s4804,s574,s2380,s4808,s4745,s592,s4660]) ).
cnf(s4815,plain,
( ~ spl0_264
| ~ spl0_147
| ~ spl0_89
| ~ spl0_61
| spl0_148
| spl0_275 ),
inference(rat,[],[s1721,s1887,s2406,s4030,s4706,s2579]) ).
cnf(s4816,plain,
( ~ spl0_266
| spl0_192
| ~ spl0_2 ),
inference(rat,[],[s578,s5,s3878,s3487,s2744,s1484,s4813,s1155,s4771,s2055,s513,s2380,s4808,s592,s3375,s3014,s2875,s2458,s4745,s2146,s3342,s63,s4660,s4455,s4815,s4309,s4814,s4811,s3055,s1695,s3240,s4778,s436,s4807,s4804]) ).
cnf(s4817,plain,
( spl0_192
| ~ spl0_2 ),
inference(rat,[],[s1721,s3209,s3746,s1193,s4454,s4816,s1889,s4455,s4815,s4309,s4814,s480,s2875,s2458,s4811,s3055,s1695,s3240,s4807,s4804,s2146,s407,s436,s4745,s4771,s4778]) ).
cnf(s4818,plain,
( spl0_72
| ~ spl0_36
| spl0_61
| spl0_89
| spl0_68
| ~ spl0_2 ),
inference(rat,[],[s360,s3163,s307,s19,s3266,s533,s523,s3947,s4,s4657,s3325,s4745,s1250,s4817,s592,s4660]) ).
cnf(s4819,plain,
( spl0_136
| ~ spl0_9
| spl0_29
| ~ spl0_264
| ~ spl0_2 ),
inference(rat,[],[s2744,s1317,s2217,s3692,s3714,s3715,s4454,s4732,s4361,s155,s6,s4388,s1534,s592,s4660,s2055,s4778]) ).
cnf(s4820,plain,
( ~ spl0_111
| ~ spl0_148
| ~ spl0_275
| ~ spl0_2 ),
inference(rat,[],[s4801,s4819,s5,s4512,s574,s511,s2380,s513,s4818,s4455,s4669,s4530,s149,s2247,s1929,s4127,s592,s4660,s4817,s4196,s4745,s2055,s4778,s1718,s1731,s1696,s4771]) ).
cnf(s4821,plain,
( ~ spl0_61
| ~ spl0_289
| spl0_398
| spl0_72
| spl0_89
| spl0_164
| ~ spl0_2 ),
inference(rat,[],[s2529,s2753,s3385,s2407,s2502,s1887,s1756,s344,s19,s1305,s1964,s3517,s592,s4660,s4745,s4817]) ).
cnf(s4822,plain,
( ~ spl0_264
| spl0_136
| spl0_72
| ~ spl0_147
| spl0_89
| spl0_164
| ~ spl0_2 ),
inference(rat,[],[s4512,s5,s307,s4819,s3266,s533,s523,s3947,s4657,s4821,s2849,s2679,s4745,s1250,s4817,s592,s4660]) ).
cnf(s4823,plain,
( spl0_136
| spl0_72
| ~ spl0_147
| spl0_89
| spl0_164
| ~ spl0_369
| ~ spl0_2 ),
inference(rat,[],[s2006,s1214,s2011,s4031,s2590,s1733,s3868,s4454,s3275,s1911,s4455,s4822,s4361,s155,s3036,s6,s3496,s1534,s63,s592,s4660,s4771,s2055,s4778,s4336]) ).
cnf(s4824,plain,
( spl0_307
| ~ spl0_264
| spl0_308
| ~ spl0_2 ),
inference(rat,[],[s3715,s4454,s3692,s1484,s1317,s2055,s4778]) ).
cnf(s4825,plain,
( ~ spl0_61
| ~ spl0_307
| spl0_398
| spl0_72
| spl0_89
| spl0_164
| ~ spl0_2 ),
inference(rat,[],[s2976,s3385,s4821,s1964,s4745,s4817]) ).
cnf(s4826,plain,
( ~ spl0_264
| spl0_44
| spl0_72
| spl0_111
| spl0_89
| spl0_164
| spl0_308
| ~ spl0_2 ),
inference(rat,[],[s5,s4512,s3487,s307,s1742,s2744,s3266,s4251,s533,s523,s705,s3947,s23,s4657,s1466,s4825,s4824,s2679,s4745,s1250,s4817,s592,s4660,s4309]) ).
cnf(s4827,plain,
( ~ spl0_61
| ~ spl0_307
| ~ spl0_263
| spl0_72
| ~ spl0_147
| spl0_89
| spl0_164
| ~ spl0_369
| ~ spl0_2 ),
inference(rat,[],[s2634,s23,s4454,s1467,s2006,s2502,s4051,s4031,s344,s2042,s19,s2995,s1305,s3517,s592,s4660,s4745,s4771,s4817,s4310,s1911]) ).
cnf(s4828,plain,
( spl0_72
| ~ spl0_148
| ~ spl0_275
| ~ spl0_2 ),
inference(rat,[],[s2505,s2995,s1381,s1421,s4530,s4827,s2434,s1418,s1911,s4455,s4826,s2498,s4823,s3064,s590,s3325,s63,s4660,s4817,s2427,s4196,s4745,s2055,s4778,s1718,s4310,s26,s1258,s1731,s1696,s4771,s4309,s4820]) ).
cnf(s4829,plain,
( ~ spl0_148
| ~ spl0_275
| ~ spl0_2 ),
inference(rat,[],[s3635,s1566,s2913,s2634,s4455,s4454,s4819,s4732,s3048,s23,s5,s1466,s4512,s3375,s1964,s574,s511,s4801,s2380,s513,s4828,s4309,s4820,s1731,s592,s4745,s2055,s3342,s4778,s63,s4660,s4817,s1696,s4771]) ).
cnf(s4830,plain,
( ~ spl0_36
| spl0_89
| spl0_72
| spl0_68
| ~ spl0_2 ),
inference(rat,[],[s360,s3163,s4752,s19,s1305,s3517,s4818,s592,s4745,s4817,s4,s3064,s590,s3325,s63,s4660]) ).
cnf(s4831,plain,
( ~ spl0_95
| spl0_89
| spl0_72
| ~ spl0_275
| ~ spl0_2 ),
inference(rat,[],[s38,s2074,s523,s921,s3266,s4650,s307,s75,s3699,s3864,s3736,s4454,s2995,s2006,s2434,s4051,s1911,s2109,s344,s4455,s4013,s19,s4064,s1305,s592,s1696,s4771,s4331,s26,s1650,s4829,s3064,s590,s3325,s63,s4660,s4309,s4127,s149,s4830,s4196,s4745,s2055,s4778,s4817]) ).
cnf(s4832,plain,
( spl0_89
| spl0_72
| ~ spl0_275
| ~ spl0_2 ),
inference(rat,[],[s360,s3309,s307,s19,s3266,s533,s523,s1444,s3947,s388,s4657,s1434,s3517,s4831,s149,s4830,s63,s2982,s1250,s4817,s592,s4660,s4196,s4745,s2055,s4778]) ).
cnf(s4833,plain,
( ~ spl0_264
| ~ spl0_89
| ~ spl0_275
| ~ spl0_2 ),
inference(rat,[],[s2505,s4824,s4030,s2427,s4829,s2458,s4745,s4309,s2978,s2055,s4778,s4817]) ).
cnf(s4834,plain,
( spl0_72
| ~ spl0_275
| ~ spl0_2 ),
inference(rat,[],[s3260,s10,s2086,s3118,s3688,s2776,s972,s511,s19,s1756,s2505,s1774,s2434,s2976,s1911,s4455,s4833,s4530,s3949,s2458,s4832,s3064,s590,s3325,s4336,s63,s3,s592,s4660,s4817,s1696,s4771,s4196,s4745,s2055,s4778]) ).
cnf(s4835,plain,
( ~ spl0_275
| ~ spl0_2 ),
inference(rat,[],[s1911,s3275,s4455,s4454,s4819,s4732,s5,s1487,s4512,s4310,s2978,s4013,s19,s4234,s574,s511,s4801,s2380,s513,s4834,s4829,s1696,s592,s4660,s4745,s4771,s2055,s4778,s4817]) ).
cnf(s4836,plain,
( spl0_89
| spl0_72
| ~ spl0_2 ),
inference(rat,[],[s3365,s26,s4805,s4310,s1258,s4530,s1964,s3501,s3322,s662,s3064,s3191,s4835,s63,s4660,s2055,s4778,s4771,s4817]) ).
cnf(s4837,plain,
( spl0_72
| ~ spl0_2 ),
inference(rat,[],[s2247,s3663,s1862,s19,s2778,s533,s4253,s149,s2875,s2458,s4836,s3754,s3496,s4530,s3050,s3360,s1964,s574,s3501,s3322,s597,s662,s1374,s3064,s3062,s4336,s63,s3,s4745,s4771,s2055,s1250,s4817,s592,s4660,s3191,s4835,s4778]) ).
cnf(s4838,plain,
( spl0_89
| ~ spl0_2 ),
inference(rat,[],[s149,s4127,s3726,s4597,s2055,s3191,s4835,s4778,s1665,s511,s513,s63,s4530,s1964,s2380,s4837,s592,s4660,s4745,s4817]) ).
cnf(s4839,plain,
( ~ spl0_264
| ~ spl0_111
| spl0_164
| ~ spl0_2 ),
inference(rat,[],[s3672,s2768,s5,s4733,s453,s4294,s1570,s3349,s2744,s2505,s2333,s4824,s2579,s3148,s63,s4778,s511,s513,s3360,s574,s3,s3055,s1964,s2380,s4837,s592,s4660,s4835,s2458,s4838,s4745,s3674,s4771,s2557,s4817]) ).
cnf(s4840,plain,
( spl0_136
| ~ spl0_263
| ~ spl0_111
| ~ spl0_2 ),
inference(rat,[],[s2208,s1935,s3625,s3740,s2913,s4454,s4376,s4803,s1214,s1204,s1780,s3947,s3014,s1375,s4361,s3375,s2055,s3342,s63,s3386,s4778,s4771,s3055,s1964,s2380,s592,s4745,s4817,s4835,s155,s6,s1536,s1265,s4838,s4837,s4660]) ).
cnf(s4841,plain,
( ~ spl0_111
| ~ spl0_148
| ~ spl0_2 ),
inference(rat,[],[s1236,s2317,s4154,s3546,s3707,s1167,s3652,s3712,s12,s3947,s2768,s1228,s2516,s4840,s2615,s2304,s4455,s4839,s2247,s3674,s63,s2055,s3191,s4835,s19,s3659,s511,s513,s4837,s4745,s4817,s592,s3,s4660,s1718,s149,s1602,s4838,s3386,s4778,s4771]) ).
cnf(s4842,plain,
( ~ spl0_264
| ~ spl0_148
| ~ spl0_2 ),
inference(rat,[],[s3672,s1707,s5,s1228,s3347,s2849,s4294,s1991,s1955,s3010,s4824,s2529,s2505,s3859,s2333,s2579,s3148,s4817,s4835,s513,s100,s574,s2380,s4837,s592,s4660,s2458,s4745,s149,s1602,s4838,s3386,s4778,s4771,s4309,s4841]) ).
cnf(s4843,plain,
( spl0_136
| ~ spl0_148
| ~ spl0_2 ),
inference(rat,[],[s1056,s1428,s3171,s2913,s4454,s4732,s5,s1287,s4495,s1214,s1707,s1780,s4294,s3947,s3014,s3502,s1375,s3375,s3057,s2055,s3342,s63,s3386,s4778,s4771,s511,s513,s3055,s1964,s4817,s1948,s100,s574,s2380,s4837,s4745,s592,s4660,s4835,s4838,s4309,s4841,s4455,s4842]) ).
cnf(s4844,plain,
( ~ spl0_148
| ~ spl0_2 ),
inference(rat,[],[s2615,s2505,s2317,s2529,s1236,s828,s4154,s3860,s3707,s3652,s12,s3947,s1707,s1228,s2516,s4843,s1889,s4455,s4842,s4841,s149,s1602,s2055,s3386,s4771,s3191,s4835,s4778,s19,s511,s513,s4530,s1964,s2380,s4837,s592,s4660,s4817,s2458,s4838,s4745]) ).
cnf(s4845,plain,
( spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4127,s4309,s149,s1987,s3663,s3056,s4844,s2567,s3754,s4530,s3050,s19,s1964,s574,s511,s2380,s513,s4837,s4835,s4817,s2055,s4778,s4745,s592]) ).
cnf(s4846,plain,
~ spl0_2,
inference(rat,[],[s4845,s4660]) ).
cnf(s4847,plain,
spl0_1,
inference(rat,[],[s1,s4846]) ).
cnf(s4848,plain,
( spl0_13
| ~ spl0_221
| ~ spl0_22
| spl0_309
| ~ spl0_264
| spl0_286
| ~ spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1605,s3256,s3677,s3732,s2753,s1167,s2026,s409,s2502,s1215,s4620,s4641,s3509,s1909,s3204,s499,s1667,s15,s2381,s2600,s2531,s1790,s1540,s344,s2474,s4382,s19,s436,s2664,s480,s2773,s1236,s2352,s4847]) ).
cnf(s4849,plain,
( spl0_181
| ~ spl0_7
| spl0_309
| ~ spl0_264
| spl0_286
| ~ spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4657,s2174,s3947,s1956,s533,s4848,s1205,s4416,s658,s395,s406]) ).
cnf(s4850,plain,
( spl0_309
| spl0_136
| ~ spl0_264
| spl0_286
| ~ spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2005,s3841,s4454,s3714,s4639,s2217,s2580,s813,s3866,s100,s4170,s4226,s4849,s1533,s480,s4,s1236,s4365,s2773,s2932,s2352,s3825,s4336,s1327,s4388,s4847]) ).
cnf(s4851,plain,
( spl0_13
| spl0_181
| ~ spl0_309
| spl0_136
| ~ spl0_264
| spl0_286
| ~ spl0_111
| ~ spl0_148
| ~ spl0_38
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2580,s4639,s1150,s3841,s4454,s2256,s1851,s100,s307,s906,s2482,s525,s1909,s2322,s499,s1667,s15,s2381,s3048,s2600,s2531,s5,s1540,s1287,s3350,s4382,s4336,s406,s589]) ).
cnf(s4852,plain,
( spl0_58
| ~ spl0_13
| spl0_40
| spl0_286
| ~ spl0_111
| spl0_89
| ~ spl0_83 ),
inference(rat,[],[s1205,s533,s4294,s2859,s1919,s22,s3866,s360,s1327]) ).
cnf(s4853,plain,
( ~ spl0_61
| ~ spl0_58
| ~ spl0_13
| spl0_136
| ~ spl0_264
| ~ spl0_111
| spl0_89
| ~ spl0_83
| ~ spl0_275 ),
inference(rat,[],[s2843,s3853,s1032,s3767,s3915,s3947,s4294,s915,s1956,s2167,s2174,s6,s1534]) ).
cnf(s4854,plain,
( spl0_181
| spl0_136
| ~ spl0_264
| spl0_286
| ~ spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2465,s3227,s2618,s1205,s4196,s533,s1239,s3947,s3071,s4657,s4853,s4852,s4851,s2442,s406,s436,s4336,s4310,s26,s1258,s1327,s4850]) ).
cnf(s4855,plain,
( spl0_13
| ~ spl0_181
| ~ spl0_309
| spl0_286
| ~ spl0_111
| spl0_89
| spl0_72
| spl0_192 ),
inference(rat,[],[s1747,s525,s1955,s1954,s3227,s2465,s2487,s3350,s19,s26,s1258]) ).
cnf(s4856,plain,
( spl0_58
| ~ spl0_181
| ~ spl0_309
| spl0_286
| ~ spl0_83
| ~ spl0_275 ),
inference(rat,[],[s902,s4256,s1955,s1954,s4294,s1919,s3866,s1327,s4847]) ).
cnf(s4857,plain,
( spl0_136
| ~ spl0_264
| spl0_286
| ~ spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4196,s1239,s4731,s3071,s4853,s4856,s2322,s1305,s4855,s4854,s4850,s436,s4336,s4310,s1327]) ).
cnf(s4858,plain,
( spl0_181
| spl0_309
| ~ spl0_264
| spl0_286
| ~ spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4114,s1467,s4662,s19,s3204,s2167,s1667,s360,s973,s2248,s2381,s22,s23,s2945,s2360,s2859,s2537,s4,s3779,s2442,s4849,s406,s436,s4657,s1236,s2352,s1706,s63,s2462,s346,s3221,s3947,s2166,s2498,s4857,s480,s2773,s4847]) ).
cnf(s4859,plain,
( spl0_58
| ~ spl0_343
| ~ spl0_48
| spl0_286
| spl0_89
| ~ spl0_83 ),
inference(rat,[],[s1956,s4294,s19,s1919,s2852,s3866,s360,s26,s1258,s1327]) ).
cnf(s4860,plain,
( spl0_309
| ~ spl0_264
| spl0_286
| ~ spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s63,s1533,s2462,s4226,s480,s346,s4858,s2773,s3221,s4859,s2174,s4657,s3947,s2166,s2498,s4857,s4336,s4847]) ).
cnf(s4861,plain,
( spl0_209
| ~ spl0_309
| spl0_20
| ~ spl0_136
| spl0_286
| ~ spl0_148 ),
inference(rat,[],[s2945,s1761,s2322,s2527,s1667,s2248,s2381,s4847]) ).
cnf(s4862,plain,
( ~ spl0_264
| spl0_286
| ~ spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1115,s1967,s1682,s4454,s2256,s2427,s2761,s3766,s480,s2223,s1706,s2527,s1761,s2,s2945,s3817,s370,s2708,s2167,s1305,s4855,s406,s3779,s2360,s4861,s2485,s4860,s4859,s2174,s4657,s3947,s2166,s2498,s4857,s436,s4336,s4286,s4847]) ).
cnf(s4863,plain,
( spl0_58
| spl0_136
| spl0_181
| spl0_309
| spl0_286
| ~ spl0_374
| ~ spl0_111
| spl0_89
| ~ spl0_83
| spl0_192 ),
inference(rat,[],[s15,s4540,s2600,s3361,s1790,s1900,s1540,s2556,s2859,s3823,s4382,s19,s22,s4852,s3866,s360,s436,s4308,s1327,s1255,s480,s2773,s413,s2442,s406,s4365,s3825,s529,s2126,s395,s4,s2932,s4847]) ).
cnf(s4864,plain,
( spl0_136
| spl0_181
| spl0_309
| spl0_288
| spl0_286
| ~ spl0_374
| ~ spl0_111
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1682,s4454,s1467,s3746,s2174,s23,s1375,s4657,s2537,s3947,s1204,s906,s307,s4863,s4416,s395,s4,s2932,s1607,s4336,s2442,s406]) ).
cnf(s4865,plain,
( spl0_181
| spl0_309
| spl0_286
| ~ spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s3204,s3203,s2769,s1593,s4454,s2167,s1682,s1667,s1706,s360,s1467,s2381,s63,s2174,s22,s23,s2360,s2462,s4657,s2859,s2537,s3779,s3947,s2166,s2498,s4864,s2442,s406,s436,s26,s1258,s2304,s4455,s4862,s2247,s1255,s346,s3221,s480,s2773,s4847]) ).
cnf(s4866,plain,
( spl0_303
| ~ spl0_120
| spl0_288
| ~ spl0_263
| ~ spl0_148
| spl0_192 ),
inference(rat,[],[s1117,s24,s4454,s412,s2769,s3900,s4847]) ).
cnf(s4867,plain,
( spl0_136
| ~ spl0_303
| ~ spl0_181
| ~ spl0_68
| ~ spl0_323
| ~ spl0_120
| ~ spl0_263
| spl0_286
| spl0_72
| ~ spl0_275 ),
inference(rat,[],[s4639,s2580,s3625,s4170,s2001,s2114,s2363,s1851,s100,s4226,s1533,s4365,s4336]) ).
cnf(s4868,plain,
( spl0_309
| spl0_286
| ~ spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2167,s1706,s19,s100,s63,s3110,s2168,s2462,s4657,s2820,s2910,s2750,s3947,s3735,s2143,s2166,s2498,s2155,s4867,s2664,s4866,s4865,s480,s346,s2773,s3221,s3825,s1255,s2304,s4455,s4862,s2247,s4847]) ).
cnf(s4869,plain,
( ~ spl0_313
| ~ spl0_309
| spl0_288
| ~ spl0_263
| ~ spl0_148 ),
inference(rat,[],[s3548,s3818,s1153,s2322,s1027,s1667,s4847]) ).
cnf(s4870,plain,
( ~ spl0_22
| ~ spl0_227
| ~ spl0_209
| spl0_313
| ~ spl0_111
| spl0_72
| spl0_192 ),
inference(rat,[],[s2898,s926,s1283,s1204,s2669,s3779,s2531]) ).
cnf(s4871,plain,
( spl0_61
| spl0_17
| ~ spl0_309
| ~ spl0_166
| spl0_89
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s4196,s1239,s4731,s3071,s4310]) ).
cnf(s4872,plain,
( spl0_136
| spl0_145
| ~ spl0_143
| spl0_313
| spl0_286 ),
inference(rat,[],[s1706,s2079,s155,s4361,s6,s2190,s1534,s2142,s4294,s1251]) ).
cnf(s4873,plain,
( spl0_286
| ~ spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s5,s3487,s1201,s1085,s4454,s2482,s3841,s1761,s4872,s2974,s2171,s2945,s3227,s4294,s915,s1956,s2167,s1909,s2174,s4871,s813,s1659,s3635,s3548,s3818,s2322,s1305,s4856,s4855,s406,s4870,s2360,s2381,s4869,s4868,s4251,s2304,s4455,s4862,s1327,s436,s4336,s2247,s4847]) ).
cnf(s4874,plain,
( spl0_181
| ~ spl0_7
| spl0_309
| spl0_311
| ~ spl0_26
| ~ spl0_111
| spl0_192 ),
inference(rat,[],[s1283,s2898,s2669,s4416,s2600,s395,s406]) ).
cnf(s4875,plain,
( spl0_309
| ~ spl0_20
| ~ spl0_26
| ~ spl0_286
| ~ spl0_111
| ~ spl0_148
| spl0_89
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4239,s5,s1900,s4512,s4731,s307,s2848,s2411,s906,s2898,s921,s1667,s2072,s4294,s3148,s2203,s3856,s2217,s4170,s4874,s1533,s4,s1236,s4365,s3801,s2932,s2352,s3825,s1255,s436,s1204,s4388,s2849,s2778,s4455,s4669,s4530,s1929,s1718,s2247,s1696,s4847]) ).
cnf(s4876,plain,
( ~ spl0_183
| ~ spl0_203
| ~ spl0_20
| spl0_370
| spl0_192 ),
inference(rat,[],[s533,s1447,s1283]) ).
cnf(s4877,plain,
( spl0_58
| spl0_13
| ~ spl0_181
| ~ spl0_309
| spl0_136
| spl0_89
| ~ spl0_275 ),
inference(rat,[],[s902,s4256,s1955,s1954,s3048,s5,s4512,s4847]) ).
cnf(s4878,plain,
( ~ spl0_58
| ~ spl0_181
| ~ spl0_309
| spl0_311
| spl0_136
| ~ spl0_264
| spl0_61
| ~ spl0_286
| ~ spl0_82
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s1320,s1043,s348,s2217,s3071,s2203,s3915,s1239,s4294,s3501,s906,s574,s307,s4388,s2849,s6,s1534]) ).
cnf(s4879,plain,
( ~ spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1660,s1533,s3899,s1659,s4256,s2217,s4196,s2203,s4731,s4294,s2322,s2898,s533,s1305,s4877,s4878,s406,s2600,s2669,s4876,s4875,s2849,s4388,s1204,s2778,s3809,s3862,s4455,s3947,s23,s15,s4669,s4657,s1466,s499,s4530,s1929,s2983,s1718,s1696,s4873,s2247,s436,s4310,s4847]) ).
cnf(s4880,plain,
( spl0_13
| spl0_181
| ~ spl0_33
| ~ spl0_17
| spl0_309
| ~ spl0_20
| ~ spl0_61
| spl0_286
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192 ),
inference(rat,[],[s4455,s2352,s4866,s1236,s3204,s1467,s1742,s4549,s307,s1667,s4548,s2248,s2381,s15,s2531,s2600,s3361,s1900,s5,s1540,s3646,s344,s1287,s4382,s4250,s19,s436,s4308,s1255,s1790,s2,s193,s480,s2773,s413,s406,s589,s4847]) ).
cnf(s4881,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_323
| spl0_143
| ~ spl0_61
| spl0_286
| ~ spl0_148
| ~ spl0_83 ),
inference(rat,[],[s1900,s4365,s3778,s3711,s921,s4294,s1919,s3866,s2167,s3763,s1327]) ).
cnf(s4882,plain,
( spl0_303
| ~ spl0_34
| spl0_309
| ~ spl0_148 ),
inference(rat,[],[s1117,s4455,s4454,s2352,s2769,s1236,s1255,s4847]) ).
cnf(s4883,plain,
( spl0_309
| spl0_286
| spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192 ),
inference(rat,[],[s4366,s2750,s1533,s4455,s4170,s2292,s2580,s2910,s4639,s3735,s2753,s2664,s4882,s100,s574,s4880,s4881,s24,s23,s3509,s412,s3862,s480,s3834,s3833,s2773,s4248,s3825,s4336,s2348,s436,s915,s3947,s2857,s2766,s3120,s3071,s1222,s4309,s1327,s4310,s4847]) ).
cnf(s4884,plain,
( spl0_286
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s3948,s2167,s2487,s3866,s2465,s1919,s3227,s4294,s2637,s1533,s1761,s3325,s4196,s4883,s915,s3947,s2427,s2857,s2348,s3071,s2766,s1222,s3120,s1327,s436,s4336,s4310,s4309,s4879,s4847]) ).
cnf(s4885,plain,
( ~ spl0_288
| spl0_161
| spl0_301
| ~ spl0_61
| spl0_164 ),
inference(rat,[],[s2407,s3499,s2502]) ).
cnf(s4886,plain,
( spl0_13
| ~ spl0_22
| ~ spl0_303
| ~ spl0_34
| ~ spl0_33
| ~ spl0_17
| ~ spl0_120
| spl0_46
| ~ spl0_369
| ~ spl0_286
| ~ spl0_148
| spl0_89
| spl0_72 ),
inference(rat,[],[s2006,s4454,s4051,s1911,s1671,s4455,s3751,s2373,s2,s1251,s2995,s320,s1667,s3204,s1467,s4885,s344,s9,s19,s1718,s1466,s973]) ).
cnf(s4887,plain,
( ~ spl0_20
| ~ spl0_13
| spl0_181
| ~ spl0_34
| ~ spl0_33
| ~ spl0_17
| spl0_46
| spl0_370
| ~ spl0_148
| spl0_37
| spl0_192 ),
inference(rat,[],[s808,s3487,s4539,s3361,s2498,s63,s1678,s1787,s1674,s2,s17,s33,s15,s5,s2600,s433,s2669,s4876,s1698,s22,s1468,s533,s436,s406]) ).
cnf(s4888,plain,
( spl0_181
| ~ spl0_34
| ~ spl0_33
| ~ spl0_17
| spl0_309
| ~ spl0_369
| ~ spl0_286
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192 ),
inference(rat,[],[s921,s4416,s3778,s395,s1900,s4,s4365,s2932,s1228,s2167,s360,s22,s2859,s4887,s4886,s2442,s406,s1258,s2983,s1306,s1255,s3825,s1466,s4882,s4847]) ).
cnf(s4889,plain,
( spl0_13
| ~ spl0_181
| ~ spl0_34
| ~ spl0_33
| spl0_309
| ~ spl0_369
| ~ spl0_286
| spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| ~ spl0_50 ),
inference(rat,[],[s2580,s4639,s4170,s100,s1533,s1605,s3,s3117,s1733,s3659,s2443,s2891,s1865,s2890,s4454,s2006,s1931,s4051,s1911,s4455,s2351,s2,s1251,s320,s1667,s2995,s3204,s1467,s4885,s1472,s344,s3797,s19,s4336,s4309,s1718,s1306,s1255,s1466,s973,s4882,s3834,s4248,s4847]) ).
cnf(s4890,plain,
( spl0_309
| ~ spl0_369
| ~ spl0_286
| spl0_111
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192 ),
inference(rat,[],[s4366,s506,s2708,s1305,s4889,s4888,s24,s23,s412,s3862,s3834,s3833,s4248,s3825,s436,s4847]) ).
cnf(s4891,plain,
( ~ spl0_20
| ~ spl0_382
| ~ spl0_17
| ~ spl0_6
| spl0_68
| ~ spl0_316
| ~ spl0_309
| spl0_393
| ~ spl0_275 ),
inference(rat,[],[s3766,s2427,s2,s1751,s34,s2471,s3361]) ).
cnf(s4892,plain,
( spl0_181
| spl0_13
| ~ spl0_309
| ~ spl0_286
| spl0_111
| ~ spl0_148
| spl0_393
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2336,s4455,s1705,s1085,s4188,s2527,s16,s4082,s4891,s2919,s1251,s1667,s1601,s2322,s2474,s658,s2482,s395,s1761,s4,s3325,s1850,s499,s15,s5,s2600,s402,s406,s2722,s9,s1540,s4382,s4847]) ).
cnf(s4893,plain,
( ~ spl0_264
| spl0_44
| spl0_136
| ~ spl0_20
| ~ spl0_12
| ~ spl0_135
| ~ spl0_23
| ~ spl0_147 ),
inference(rat,[],[s1742,s1756,s3915,s2849,s2679]) ).
cnf(s4894,plain,
( ~ spl0_263
| ~ spl0_47
| ~ spl0_294
| spl0_68
| ~ spl0_61
| ~ spl0_181
| spl0_161
| spl0_164
| ~ spl0_369
| ~ spl0_148 ),
inference(rat,[],[s4170,s1236,s1570,s2274,s4885,s1911,s974,s4847]) ).
cnf(s4895,plain,
( ~ spl0_20
| spl0_145
| ~ spl0_6
| spl0_68
| ~ spl0_61
| ~ spl0_181
| spl0_161
| spl0_13
| ~ spl0_316
| spl0_164
| ~ spl0_369
| ~ spl0_147
| ~ spl0_148 ),
inference(rat,[],[s1115,s3817,s1035,s1900,s4170,s4893,s734,s3915,s4455,s4894,s453,s5,s3048,s2471,s19,s1533,s4294,s6,s1535,s4847]) ).
cnf(s4896,plain,
( ~ spl0_61
| ~ spl0_181
| spl0_13
| ~ spl0_309
| ~ spl0_369
| ~ spl0_286
| spl0_111
| ~ spl0_148
| spl0_393
| spl0_89
| spl0_72
| ~ spl0_193 ),
inference(rat,[],[s2690,s4259,s4454,s2753,s3740,s2407,s2502,s1887,s3766,s2686,s2,s4455,s335,s4894,s574,s3707,s360,s3652,s2268,s2852,s12,s3947,s4895,s1954,s1533,s1761,s893,s3325,s480,s1850,s4310,s26,s1258,s4309,s2170,s1718,s2722,s344,s19,s4847]) ).
cnf(s4897,plain,
( ~ spl0_6
| ~ spl0_20
| spl0_61
| ~ spl0_181
| spl0_13
| ~ spl0_316
| ~ spl0_309
| ~ spl0_286
| spl0_89
| ~ spl0_83
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s4170,s2834,s1236,s3265,s2274,s1418,s1911,s4455,s4878,s4226,s4877,s2471,s2482,s1533,s4310,s1696,s4530,s4847]) ).
cnf(s4898,plain,
( spl0_13
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s3688,s2776,s3841,s1742,s4454,s4251,s2498,s4089,s705,s4877,s4455,s574,s4051,s1955,s1667,s3501,s1780,s902,s2322,s4305,s525,s3649,s3,s63,s4897,s3947,s23,s4657,s1466,s4896,s4892,s344,s3350,s19,s436,s407,s4336,s4286,s26,s1258,s4309,s2722,s4890,s1696,s4884,s4879,s4847]) ).
cnf(s4899,plain,
( ~ spl0_61
| ~ spl0_20
| spl0_181
| ~ spl0_13
| ~ spl0_316
| ~ spl0_309
| spl0_370
| ~ spl0_286
| spl0_89
| spl0_192 ),
inference(rat,[],[s17,s15,s5,s2600,s433,s2669,s4876,s1619,s1698,s2471,s22,s4256,s360,s916,s1850,s436,s406,s533,s4847]) ).
cnf(s4900,plain,
( ~ spl0_20
| spl0_181
| ~ spl0_13
| ~ spl0_316
| ~ spl0_309
| spl0_370
| ~ spl0_286
| spl0_89
| spl0_72
| spl0_192 ),
inference(rat,[],[s4876,s2669,s3809,s2600,s23,s15,s1466,s499,s4899,s436,s406]) ).
cnf(s4901,plain,
( spl0_181
| ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2,s3766,s335,s2411,s2072,s4439,s450,s5,s3048,s906,s2482,s1228,s1761,s893,s2167,s307,s3325,s480,s360,s1850,s22,s4657,s2859,s3947,s4900,s2442,s406,s407,s4310,s4286,s2170,s2983,s2722,s4890,s1696,s4884,s4879,s4898,s4847]) ).
cnf(s4902,plain,
( ~ spl0_278
| ~ spl0_294
| ~ spl0_236
| ~ spl0_49
| ~ spl0_181 ),
inference(rat,[],[s3548,s4170,s1879]) ).
cnf(s4903,plain,
( ~ spl0_61
| ~ spl0_236
| ~ spl0_20
| ~ spl0_49
| ~ spl0_181
| ~ spl0_316
| ~ spl0_309
| ~ spl0_369
| ~ spl0_286
| spl0_72 ),
inference(rat,[],[s1911,s4455,s4639,s734,s2580,s4902,s5,s3048,s2471,s1954,s1533,s4256,s100,s916,s1850,s4336,s4847]) ).
cnf(s4904,plain,
( ~ spl0_20
| spl0_17
| ~ spl0_181
| ~ spl0_13
| ~ spl0_316
| ~ spl0_309
| ~ spl0_286
| spl0_89
| spl0_72
| ~ spl0_275 ),
inference(rat,[],[s4262,s1967,s4454,s4455,s1201,s715,s5,s813,s3048,s4294,s4902,s2471,s1954,s1533,s1761,s3325,s4196,s2427,s4731,s4903,s533,s1696,s3818,s4847]) ).
cnf(s4905,plain,
( ~ spl0_264
| spl0_136
| spl0_145
| ~ spl0_294
| ~ spl0_12
| ~ spl0_34
| ~ spl0_181
| ~ spl0_13 ),
inference(rat,[],[s1118,s4170,s1043,s734,s3915,s4294,s5,s3048]) ).
cnf(s4906,plain,
( spl0_136
| spl0_308
| spl0_145
| ~ spl0_294
| spl0_68
| ~ spl0_12
| ~ spl0_34
| ~ spl0_181
| ~ spl0_13
| ~ spl0_309
| ~ spl0_369 ),
inference(rat,[],[s1201,s4454,s4170,s1967,s1236,s2274,s1911,s4455,s4905,s5,s3048,s4294,s4847]) ).
cnf(s4907,plain,
( ~ spl0_264
| ~ spl0_70
| spl0_313
| ~ spl0_29
| ~ spl0_119
| spl0_145
| ~ spl0_61
| ~ spl0_48
| ~ spl0_36
| spl0_164
| spl0_111
| ~ spl0_83 ),
inference(rat,[],[s972,s2019,s3503,s3181,s1056,s2502,s3859,s2333,s3148,s2796,s3152,s4309]) ).
cnf(s4908,plain,
( ~ spl0_148
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2408,s2590,s4894,s1085,s1911,s4455,s4907,s146,s132,s2859,s22,s360,s100,s2167,s2429,s2527,s1228,s4906,s2427,s3766,s2,s480,s1954,s2482,s1533,s370,s1850,s1761,s4657,s6,s2945,s3947,s2120,s4904,s3817,s149,s2322,s1305,s4901,s4898,s2722,s4890,s1718,s1696,s4884,s4879,s4336,s4286,s4847]) ).
cnf(s4909,plain,
( ~ spl0_264
| spl0_164
| ~ spl0_61
| spl0_417
| ~ spl0_120
| ~ spl0_285
| ~ spl0_193 ),
inference(rat,[],[s2502,s2843,s722]) ).
cnf(s4910,plain,
( ~ spl0_288
| ~ spl0_263
| spl0_164
| ~ spl0_61
| spl0_161
| ~ spl0_275 ),
inference(rat,[],[s2407,s2155,s2502,s1887]) ).
cnf(s4911,plain,
( spl0_286
| spl0_417
| spl0_13
| ~ spl0_49
| ~ spl0_111
| ~ spl0_17
| spl0_309
| ~ spl0_285
| spl0_89
| spl0_72
| ~ spl0_193
| ~ spl0_275 ),
inference(rat,[],[s1761,s1900,s4074,s2143,s2166,s4867,s3548,s4910,s4455,s4909,s1204,s3947,s5,s4859,s4512,s574,s1790,s3509,s413,s480,s3187,s2174,s2773,s2774,s1224,s4336,s1255,s3825,s344,s19,s4847]) ).
cnf(s4912,plain,
( spl0_181
| ~ spl0_369
| ~ spl0_286
| spl0_417
| spl0_161
| spl0_13
| ~ spl0_111
| ~ spl0_120
| ~ spl0_285
| spl0_72
| spl0_192 ),
inference(rat,[],[s1815,s1741,s2843,s4455,s4051,s1909,s1929,s499,s15,s2600,s3187,s406,s413,s1540,s4382]) ).
cnf(s4913,plain,
( ~ spl0_61
| ~ spl0_181
| ~ spl0_286
| spl0_161
| ~ spl0_111
| ~ spl0_17
| spl0_309
| ~ spl0_285
| spl0_72
| ~ spl0_193
| ~ spl0_275 ),
inference(rat,[],[s2411,s574,s3149,s3148,s100,s3856,s4639,s2536,s3499,s2580,s973,s4170,s1236,s1533,s722,s2352,s1761,s4455,s3325,s480,s4051,s1790,s1909,s1929,s4336,s1255,s1696,s4847]) ).
cnf(s4914,plain,
( ~ spl0_264
| ~ spl0_94
| ~ spl0_181
| ~ spl0_286
| spl0_171
| spl0_417
| ~ spl0_49
| spl0_309
| spl0_397
| spl0_148
| ~ spl0_83
| ~ spl0_193
| ~ spl0_275 ),
inference(rat,[],[s3841,s1729,s4454,s3715,s2072,s1816,s3525,s3265,s2834,s1659,s1717,s973,s1236,s2843,s722,s2352,s3146,s4331,s1255,s3817,s1548,s4847]) ).
cnf(s4915,plain,
( spl0_13
| spl0_309
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s973,s2769,s1928,s4454,s1381,s2006,s1418,s1911,s4051,s4455,s4914,s4530,s4913,s4912,s1696,s4911,s2465,s2840,s2487,s344,s2790,s19,s407,s4336,s4310,s4331,s3240,s436,s1255,s3817,s4248,s3833,s508,s3775,s412,s24,s1548,s4908,s4847]) ).
cnf(s4916,plain,
( spl0_286
| ~ spl0_13
| spl0_309
| spl0_148
| spl0_89
| ~ spl0_83
| ~ spl0_193 ),
inference(rat,[],[s2167,s1706,s3866,s3648,s1919,s989,s4294,s480,s4659,s2773,s1224,s1327,s26,s1258,s4331,s1255,s4847]) ).
cnf(s4917,plain,
( ~ spl0_61
| ~ spl0_286
| ~ spl0_13
| ~ spl0_111
| ~ spl0_17
| spl0_309
| spl0_72
| ~ spl0_275 ),
inference(rat,[],[s1305,s395,s506,s4,s4416,s4256,s3325,s1956,s2086,s1790,s2174,s1929,s4847]) ).
cnf(s4918,plain,
( spl0_309
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1305,s506,s406,s3648,s2600,s989,s2669,s2898,s4876,s1204,s3809,s3947,s23,s15,s4657,s1466,s499,s4917,s2983,s1696,s4916,s4915,s4248,s3833,s412,s3817,s24,s1548,s436,s407,s4336,s4908,s4847]) ).
cnf(s4919,plain,
( ~ spl0_17
| ~ spl0_322
| ~ spl0_25
| spl0_358
| spl0_181
| spl0_435
| ~ spl0_111
| ~ spl0_309
| spl0_72
| ~ spl0_275 ),
inference(rat,[],[s193,s2,s4305,s3646,s3649,s2235,s1006,s331,s111,s2627,s2427,s1747,s406,s499,s4847]) ).
cnf(s4920,plain,
( ~ spl0_266
| spl0_311
| spl0_306
| ~ spl0_145
| spl0_72
| ~ spl0_275 ),
inference(rat,[],[s4639,s2580,s3841,s1150,s4336,s100,s307,s906]) ).
cnf(s4921,plain,
( spl0_13
| spl0_286
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2750,s4455,s2913,s3274,s2256,s4454,s4920,s1851,s100,s3192,s307,s2858,s906,s2235,s2482,s525,s149,s4919,s1909,s1027,s499,s2689,s2381,s15,s3227,s2531,s2600,s3233,s2465,s406,s1540,s3734,s2487,s4855,s3350,s4382,s4250,s19,s4310,s4918,s4309,s2107,s4331,s4908,s26,s1258]) ).
cnf(s4922,plain,
( spl0_181
| ~ spl0_61
| spl0_145
| ~ spl0_13
| ~ spl0_111
| spl0_286
| ~ spl0_309
| spl0_89
| spl0_72
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s2274,s2155,s1236,s4328,s2682,s1153,s2057,s402,s4455,s5,s4853,s3048,s2235,s1027,s1761,s2381,s3325,s2360,s4196,s2427,s3779,s2618,s406,s2465,s3227,s915,s2167,s3866,s1919,s4294,s1327,s4336,s4847]) ).
cnf(s4923,plain,
( ~ spl0_266
| spl0_308
| ~ spl0_34
| ~ spl0_343
| ~ spl0_309 ),
inference(rat,[],[s1115,s1682,s1967]) ).
cnf(s4924,plain,
( ~ spl0_6
| spl0_141
| spl0_95
| ~ spl0_143
| ~ spl0_343
| ~ spl0_61
| ~ spl0_13
| spl0_286
| ~ spl0_309
| spl0_148
| spl0_393
| ~ spl0_82
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s1887,s2155,s4455,s3746,s3275,s2256,s4454,s4923,s1695,s2761,s3036,s2411,s2427,s3656,s3766,s480,s3817,s149,s1706,s506,s3240,s2,s370,s4847]) ).
cnf(s4925,plain,
( ~ spl0_61
| ~ spl0_13
| spl0_286
| ~ spl0_309
| spl0_148
| spl0_393
| spl0_89
| spl0_72
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s3509,s4253,s4305,s3649,s4924,s574,s1305,s4922,s915,s2167,s2174,s4310,s4309,s2107,s4331,s3866,s1919,s4294,s4659,s26,s1258,s1327,s4336,s4847]) ).
cnf(s4926,plain,
( spl0_286
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1493,s4397,s1085,s4455,s1305,s31,s4685,s406,s156,s3649,s63,s2618,s4483,s409,s1900,s1780,s2427,s2166,s533,s1204,s2190,s1239,s1747,s3947,s2063,s3071,s4871,s4657,s4530,s4925,s2465,s1616,s3227,s4294,s4659,s4921,s4309,s2107,s1327,s436,s4310,s4286,s26,s1258,s4331,s4908,s4918,s4847]) ).
cnf(s4927,plain,
( spl0_181
| spl0_306
| ~ spl0_164
| spl0_13
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2796,s4920,s3732,s2482,s2026,s525,s2113,s1790,s902,s480,s2271,s3187,s406,s413,s436,s4918,s3350,s26,s1258,s3841,s4454,s2900,s1815,s2843,s2840,s2790,s4310,s4455,s4051,s1696,s4926,s344,s19,s4331,s4908]) ).
cnf(s4928,plain,
( ~ spl0_6
| ~ spl0_181
| spl0_267
| spl0_284
| ~ spl0_264
| ~ spl0_164
| spl0_13
| ~ spl0_309
| spl0_148
| ~ spl0_82 ),
inference(rat,[],[s1790,s480,s149,s2271,s3658,s1444,s2019,s388,s972,s1431,s2285,s2527,s2796,s4234,s1954,s2423,s19]) ).
cnf(s4929,plain,
( ~ spl0_111
| ~ spl0_61
| spl0_13
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1790,s4305,s525,s3649,s4928,s4927,s3841,s4454,s2900,s1815,s2843,s4455,s4051,s1909,s1929,s4331,s4918,s1696,s4926,s3350,s26,s1258,s344,s2840,s2790,s19,s4310,s4908,s4847]) ).
cnf(s4930,plain,
( ~ spl0_61
| spl0_13
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s3487,s5,s1085,s4136,s2482,s2750,s1761,s2273,s3325,s480,s2910,s1780,s1418,s1911,s4051,s4455,s2485,s4706,s4013,s4309,s4929,s436,s4918,s1696,s4926,s4383,s344,s2840,s2790,s19,s4310,s4908,s4847]) ).
cnf(s4931,plain,
( ~ spl0_264
| spl0_308
| spl0_166
| ~ spl0_34
| ~ spl0_29
| ~ spl0_136
| ~ spl0_111
| ~ spl0_94
| ~ spl0_309
| spl0_397
| spl0_148
| ~ spl0_82
| ~ spl0_275 ),
inference(rat,[],[s2426,s1381,s4923,s3841,s1371,s4454,s2257,s3146]) ).
cnf(s4932,plain,
( ~ spl0_6
| ~ spl0_111
| ~ spl0_181
| spl0_96
| spl0_61
| spl0_161
| spl0_13
| ~ spl0_286
| ~ spl0_309
| spl0_148
| spl0_89
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s4454,s3275,s2006,s1911,s4051,s4455,s4931,s3036,s2427,s3656,s4731,s4871,s3817,s149,s2223,s1900,s2527,s4662,s4234,s1954,s4310,s3240,s1696,s4530,s4847]) ).
cnf(s4933,plain,
( ~ spl0_111
| spl0_13
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1717,s1057,s1381,s1659,s3841,s3349,s4454,s2333,s3715,s3148,s3146,s4455,s4294,s1027,s4051,s414,s1955,s1553,s1780,s4196,s1747,s4305,s525,s3649,s63,s4932,s4310,s3240,s4908,s436,s4918,s1696,s4926,s3350,s26,s1258,s344,s19,s4530,s4478,s406,s2600,s15,s499,s4930,s1540,s4382,s4847]) ).
cnf(s4934,plain,
( ~ spl0_58
| spl0_315
| ~ spl0_349
| ~ spl0_278
| ~ spl0_318
| ~ spl0_286 ),
inference(rat,[],[s2274,s1059,s3348,s307,s4847]) ).
cnf(s4935,plain,
( spl0_293
| ~ spl0_9
| ~ spl0_294
| ~ spl0_318
| ~ spl0_49
| ~ spl0_181
| ~ spl0_20
| spl0_161
| ~ spl0_23
| ~ spl0_369
| ~ spl0_286
| ~ spl0_309
| spl0_148
| spl0_89 ),
inference(rat,[],[s2274,s1780,s1911,s4051,s4455,s2290,s2845,s2896,s360,s4934,s1885,s3548,s1236,s4170,s3487,s4847]) ).
cnf(s4936,plain,
( ~ spl0_6
| ~ spl0_136
| ~ spl0_147
| ~ spl0_49
| ~ spl0_181
| ~ spl0_20
| spl0_161
| spl0_223
| spl0_13
| ~ spl0_369
| ~ spl0_286
| ~ spl0_309
| spl0_148
| spl0_89 ),
inference(rat,[],[s2864,s1035,s4455,s4171,s1085,s4935,s5,s4136,s2482,s1533,s26,s1258,s4331,s19,s2485]) ).
cnf(s4937,plain,
( spl0_13
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4743,s1955,s3348,s3501,s1780,s902,s4196,s4305,s3649,s4936,s2485,s4013,s4309,s4933,s508,s3775,s406,s3862,s2600,s3947,s23,s15,s4657,s1466,s499,s4930,s1540,s344,s4383,s4382,s19,s4908,s4918,s1696,s4926,s4847]) ).
cnf(s4938,plain,
( spl0_181
| ~ spl0_6
| ~ spl0_31
| ~ spl0_70
| spl0_145
| ~ spl0_13
| ~ spl0_369
| ~ spl0_309
| spl0_397
| spl0_72
| spl0_192 ),
inference(rat,[],[s3127,s1445,s3744,s4454,s4188,s4795,s2919,s1695,s2223,s2527,s17,s3048,s15,s5,s2600,s433,s2669,s4876,s2859,s1698,s2442,s406,s436,s2983]) ).
cnf(s4939,plain,
( ~ spl0_68
| ~ spl0_264
| ~ spl0_181
| ~ spl0_294
| ~ spl0_70
| spl0_306
| ~ spl0_286
| ~ spl0_309
| spl0_397
| spl0_72
| ~ spl0_275 ),
inference(rat,[],[s3841,s4454,s4639,s3715,s4638,s1027,s414,s1553,s4196,s4336]) ).
cnf(s4940,plain,
( ~ spl0_264
| ~ spl0_34
| ~ spl0_4
| ~ spl0_181
| ~ spl0_294
| ~ spl0_70
| spl0_306
| ~ spl0_343
| ~ spl0_286
| ~ spl0_309
| spl0_397
| spl0_393
| spl0_72
| ~ spl0_275 ),
inference(rat,[],[s2411,s2072,s3715,s4454,s4923,s2427,s3766,s4939]) ).
cnf(s4941,plain,
( ~ spl0_6
| ~ spl0_111
| ~ spl0_61
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1085,s4906,s2590,s4196,s2427,s6,s2408,s2409,s2121,s1911,s4051,s4455,s4940,s2613,s3817,s149,s2,s506,s370,s1305,s4938,s2482,s1533,s4336,s4286,s3240,s4908,s436,s4918,s1696,s1909,s1956,s2174,s100,s22,s360,s2086,s1929,s4926,s4937,s4847]) ).
cnf(s4942,plain,
( ~ spl0_111
| ~ spl0_61
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1815,s3850,s2843,s1581,s4455,s4051,s3852,s149,s1027,s2409,s414,s1790,s1553,s4196,s2907,s4256,s3,s63,s4941,s1956,s2086,s1909,s2174,s1929,s3777,s436,s4331,s4908,s4918,s1696,s4926,s4937,s4847]) ).
cnf(s4943,plain,
( ~ spl0_68
| ~ spl0_417
| ~ spl0_286
| ~ spl0_309
| spl0_424
| ~ spl0_275 ),
inference(rat,[],[s3852,s1027,s414,s1553,s4196]) ).
cnf(s4944,plain,
( ~ spl0_17
| ~ spl0_215
| spl0_68
| spl0_302
| ~ spl0_284
| ~ spl0_198
| ~ spl0_6
| ~ spl0_13
| spl0_393
| ~ spl0_83 ),
inference(rat,[],[s2753,s2981,s963,s3766,s2749,s2,s1900,s69,s480]) ).
cnf(s4945,plain,
( ~ spl0_267
| ~ spl0_195
| ~ spl0_49
| ~ spl0_215
| spl0_68
| spl0_302
| ~ spl0_288
| ~ spl0_13 ),
inference(rat,[],[s963,s975,s2753,s3525]) ).
cnf(s4946,plain,
( ~ spl0_264
| spl0_181
| ~ spl0_6
| ~ spl0_147
| ~ spl0_61
| ~ spl0_13
| ~ spl0_286
| ~ spl0_309
| spl0_148
| ~ spl0_38
| spl0_424
| spl0_393
| ~ spl0_82
| spl0_72
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s1884,s2259,s2273,s2981,s2910,s4945,s2789,s3818,s149,s4944,s529,s2126,s395,s4,s3325,s480,s4943,s1887,s2840,s4030,s2864,s4706,s3146,s4336,s4331,s413,s4847]) ).
cnf(s4947,plain,
( ~ spl0_68
| ~ spl0_263
| ~ spl0_22
| ~ spl0_286
| ~ spl0_309
| spl0_72
| ~ spl0_275 ),
inference(rat,[],[s2624,s4051,s2618,s1780,s4196,s1696]) ).
cnf(s4948,plain,
( spl0_181
| ~ spl0_6
| ~ spl0_147
| ~ spl0_61
| ~ spl0_13
| ~ spl0_286
| ~ spl0_309
| spl0_148
| spl0_393
| spl0_89
| spl0_72
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s5,s433,s3048,s926,s921,s2485,s1027,s2644,s2750,s1153,s1884,s2273,s2981,s480,s4947,s2910,s1418,s1911,s4455,s4946,s406,s413,s4336,s4310,s3777,s26,s1258,s1696]) ).
cnf(s4949,plain,
( ~ spl0_267
| ~ spl0_7
| ~ spl0_195
| spl0_302
| spl0_68
| ~ spl0_288
| ~ spl0_264
| ~ spl0_49
| spl0_145
| ~ spl0_13 ),
inference(rat,[],[s2291,s813,s1236,s975,s2753,s3525]) ).
cnf(s4950,plain,
( ~ spl0_264
| ~ spl0_49
| ~ spl0_36
| spl0_145
| ~ spl0_181
| ~ spl0_294
| ~ spl0_147
| ~ spl0_61
| ~ spl0_13
| ~ spl0_286
| ~ spl0_309
| spl0_148
| spl0_424
| ~ spl0_82
| spl0_72
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s4170,s2580,s2273,s2406,s2910,s4949,s4,s3325,s480,s2789,s1887,s4943,s2840,s4030,s4706,s3146,s4336]) ).
cnf(s4951,plain,
( ~ spl0_68
| ~ spl0_263
| spl0_200
| ~ spl0_286
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s4051,s2409,s1780,s4196,s1696]) ).
cnf(s4952,plain,
( ~ spl0_6
| ~ spl0_147
| ~ spl0_61
| ~ spl0_13
| ~ spl0_286
| ~ spl0_309
| spl0_148
| spl0_393
| spl0_89
| spl0_72
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s3275,s3036,s4454,s944,s1967,s3635,s2427,s2273,s3766,s480,s4951,s2910,s1418,s1911,s4455,s4950,s3656,s2613,s3818,s149,s2,s506,s370,s1954,s1305,s4948,s1533,s4310,s3777,s1696,s4847]) ).
cnf(s4953,plain,
( ~ spl0_61
| spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4455,s4706,s4951,s4943,s4305,s2907,s3649,s63,s4952,s4309,s4942,s4286,s3777,s436,s4908,s4918,s4926,s4937,s4847]) ).
cnf(s4954,plain,
( ~ spl0_68
| ~ spl0_282
| ~ spl0_264
| ~ spl0_181
| ~ spl0_236
| spl0_61
| ~ spl0_13
| ~ spl0_286
| ~ spl0_309
| spl0_397
| spl0_89
| ~ spl0_275 ),
inference(rat,[],[s1381,s1879,s3841,s3349,s4454,s2333,s63,s3715,s3148,s4294,s506,s1027,s1955,s4731,s1553,s1780,s902,s4196,s4310,s4530,s1305]) ).
cnf(s4955,plain,
( ~ spl0_264
| ~ spl0_181
| ~ spl0_49
| spl0_61
| ~ spl0_13
| ~ spl0_286
| ~ spl0_309
| spl0_397
| spl0_148
| spl0_89
| spl0_72
| ~ spl0_275 ),
inference(rat,[],[s2257,s4454,s2527,s1967,s3048,s1236,s5,s2291,s2427,s734,s813,s4731,s4902,s506,s1954,s1533,s1761,s4,s3325,s4954,s3146,s533,s3947,s4657,s1305,s4847]) ).
cnf(s4956,plain,
( spl0_89
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1879,s2834,s1381,s3265,s1418,s1911,s4455,s4955,s406,s2600,s508,s2669,s3775,s4876,s533,s3809,s3862,s3947,s23,s15,s4657,s1466,s499,s4530,s4953,s4937,s2983,s1696,s4926,s4918,s3240,s4908,s4310,s436,s4336]) ).
cnf(s4957,plain,
( spl0_468
| ~ spl0_68
| spl0_309
| ~ spl0_89
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1548,s2189,s24,s1790,s412,s3834,s3833,s4847]) ).
cnf(s4958,plain,
( spl0_13
| spl0_17
| ~ spl0_26
| spl0_61
| ~ spl0_68
| ~ spl0_166
| ~ spl0_83
| spl0_192 ),
inference(rat,[],[s4226,s406,s1533,s2600,s3866,s3648,s1540,s2556,s3823,s4382,s19,s4847]) ).
cnf(s4959,plain,
( spl0_286
| spl0_309
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s719,s4455,s1815,s1330,s4618,s23,s134,s261,s3947,s533,s1205,s4294,s1919,s3866,s2086,s4958,s2664,s4882,s3817,s1790,s2178,s4331,s15,s1224,s4480,s499,s2174,s4248,s4957,s480,s2773,s1327,s4308,s407,s4336,s1635,s4956,s1255,s4847]) ).
cnf(s4960,plain,
( ~ spl0_264
| ~ spl0_68
| ~ spl0_181
| ~ spl0_94
| spl0_148
| spl0_309
| ~ spl0_89
| ~ spl0_83
| ~ spl0_193 ),
inference(rat,[],[s3265,s2834,s1721,s1659,s2664,s1717,s1236,s722,s2352,s3146,s1255,s4331,s3817,s1548,s4847]) ).
cnf(s4961,plain,
( ~ spl0_263
| ~ spl0_23
| ~ spl0_94
| ~ spl0_111
| ~ spl0_17
| ~ spl0_369
| ~ spl0_120
| spl0_343
| spl0_72 ),
inference(rat,[],[s2769,s973,s4454,s1928,s2426,s1756,s1774,s2976,s1911,s4847]) ).
cnf(s4962,plain,
( spl0_13
| ~ spl0_26
| ~ spl0_94
| ~ spl0_369
| spl0_309
| spl0_343
| ~ spl0_89
| spl0_72
| spl0_192 ),
inference(rat,[],[s2834,s3265,s1659,s3525,s1717,s973,s1236,s4960,s722,s2352,s3146,s4455,s4961,s406,s2600,s1540,s4382,s19,s407,s4336,s1255,s4331,s3817,s4248,s3833,s508,s3775,s412,s24,s1548,s1731,s4847]) ).
cnf(s4963,plain,
( ~ spl0_58
| ~ spl0_13
| ~ spl0_17
| ~ spl0_286
| spl0_309
| ~ spl0_89 ),
inference(rat,[],[s921,s4650,s989,s4365,s3648,s1900,s1270,s307,s3825,s4847]) ).
cnf(s4964,plain,
( ~ spl0_95
| spl0_58
| ~ spl0_13
| ~ spl0_26
| ~ spl0_89
| spl0_192 ),
inference(rat,[],[s1540,s2600,s2682,s406,s4249,s1305,s2458]) ).
cnf(s4965,plain,
( spl0_309
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4256,s506,s2875,s4964,s4963,s4962,s15,s499,s4530,s2174,s4248,s3833,s412,s3817,s24,s1548,s1731,s1696,s4959,s1635,s4956,s4847]) ).
cnf(s4966,plain,
( ~ spl0_68
| spl0_13
| ~ spl0_164
| ~ spl0_134
| spl0_286
| ~ spl0_309
| ~ spl0_83
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s4226,s1533,s4856,s3648,s406,s3823,s2698,s1790,s4196,s4847]) ).
cnf(s4967,plain,
( ~ spl0_264
| ~ spl0_24
| ~ spl0_135
| ~ spl0_147
| ~ spl0_61
| spl0_286
| ~ spl0_89
| ~ spl0_75 ),
inference(rat,[],[s704,s2221,s1721,s1887,s2686]) ).
cnf(s4968,plain,
( ~ spl0_17
| ~ spl0_6
| spl0_68
| ~ spl0_23
| ~ spl0_148
| ~ spl0_134
| ~ spl0_61
| spl0_286
| ~ spl0_309
| ~ spl0_89
| ~ spl0_75
| ~ spl0_83
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s3841,s2010,s2309,s4454,s3503,s3736,s1085,s1330,s4455,s4967,s3652,s2074,s12,s3947,s2471,s2190,s2079,s2142,s4294,s1954,s406,s1220,s2698,s1251,s1615,s2458,s2001,s2322,s1602,s4309,s3120,s2722,s2109,s2174,s1635,s480,s2482]) ).
cnf(s4969,plain,
( ~ spl0_264
| ~ spl0_135
| ~ spl0_181
| ~ spl0_34
| ~ spl0_18
| ~ spl0_6
| ~ spl0_119
| ~ spl0_23
| ~ spl0_316
| ~ spl0_164
| spl0_111
| ~ spl0_61
| spl0_286
| ~ spl0_89
| ~ spl0_75 ),
inference(rat,[],[s2203,s2217,s4170,s2849,s4388,s1115,s2471,s1815,s12,s2444,s3652,s3142,s4967,s4309,s1533]) ).
cnf(s4970,plain,
( spl0_13
| ~ spl0_148
| ~ spl0_61
| spl0_286
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1193,s4454,s3859,s3858,s3525,s2488,s1489,s813,s4170,s1116,s974,s4455,s4969,s2465,s3227,s4294,s1954,s395,s658,s3163,s2474,s3817,s3818,s10,s149,s4968,s1533,s1761,s4,s3325,s480,s4966,s19,s436,s407,s4336,s83,s4309,s2687,s3120,s2174,s1635,s2178,s4956,s2722,s4965,s4847]) ).
cnf(s4971,plain,
( spl0_58
| ~ spl0_134
| spl0_286
| ~ spl0_309
| ~ spl0_83
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s4196,s2698,s3765,s406,s3866,s4856,s1327]) ).
cnf(s4972,plain,
( ~ spl0_68
| ~ spl0_39
| ~ spl0_58
| ~ spl0_134
| ~ spl0_61
| ~ spl0_309
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s525,s3509,s1533,s574,s4226,s406,s2698,s4196,s436]) ).
cnf(s4973,plain,
( spl0_13
| ~ spl0_61
| spl0_286
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2527,s1761,s2160,s3325,s480,s4972,s3350,s26,s4013,s4174,s1650,s4970,s4309,s4971,s2687,s3120,s2174,s1635,s4956,s4965,s4336,s436,s4847]) ).
cnf(s4974,plain,
( ~ spl0_68
| ~ spl0_48
| ~ spl0_143
| ~ spl0_208
| ~ spl0_309
| spl0_72
| ~ spl0_275 ),
inference(rat,[],[s2462,s63,s2694,s1706,s4196]) ).
cnf(s4975,plain,
( ~ spl0_264
| spl0_148
| ~ spl0_147
| ~ spl0_61
| spl0_286
| ~ spl0_89 ),
inference(rat,[],[s4175,s2292]) ).
cnf(s4976,plain,
( ~ spl0_61
| spl0_286
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1721,s1887,s2274,s3548,s1236,s1153,s4455,s4975,s3818,s1900,s1027,s1761,s2761,s3325,s480,s4974,s4174,s3947,s2189,s533,s1270,s2167,s2086,s4973,s916,s307,s4971,s2687,s3120,s4309,s2174,s436,s4336,s1635,s4956,s4965,s4847]) ).
cnf(s4977,plain,
( ~ spl0_68
| spl0_13
| spl0_286
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2759,s4174,s2189,s4309,s1790,s1697,s4958,s1780,s4336,s4956,s4965,s1327,s4530,s15,s499,s4976]) ).
cnf(s4978,plain,
( spl0_13
| spl0_286
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4174,s4309,s2722,s4662,s2471,s1900,s12,s149,s1614,s1867,s2160,s1225,s4294,s2527,s1954,s2190,s1761,s2079,s1239,s3325,s480,s4977,s406,s2600,s1540,s1597,s4382,s19,s436,s4965,s4478,s15,s499,s4976,s4847]) ).
cnf(s4979,plain,
( spl0_111
| ~ spl0_13
| ~ spl0_94
| spl0_286
| ~ spl0_309
| ~ spl0_89
| spl0_72
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s2759,s4174,s2189,s2086,s4971,s2687,s3120,s4309,s4336]) ).
cnf(s4980,plain,
( spl0_286
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1573,s2156,s149,s2110,s1900,s2189,s1270,s2086,s307,s3866,s1919,s4294,s2898,s2482,s1761,s3325,s1780,s1697,s4979,s4978,s4530,s4976,s1327,s436,s4336,s4956,s4965,s4847]) ).
cnf(s4981,plain,
( ~ spl0_68
| ~ spl0_61
| ~ spl0_286
| ~ spl0_309
| ~ spl0_89
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s1317,s2113,s2313,s4454,s4943,s1721,s1887,s3715,s4706,s4030,s4455,s4717,s3724,s3283,s1027,s414,s1553,s902,s4196,s3240,s1731,s1696,s4309,s2174,s1635]) ).
cnf(s4982,plain,
( spl0_181
| spl0_44
| ~ spl0_9
| spl0_358
| ~ spl0_136
| ~ spl0_16
| ~ spl0_6
| ~ spl0_119
| spl0_111
| ~ spl0_61
| ~ spl0_286
| ~ spl0_309
| ~ spl0_83
| spl0_192 ),
inference(rat,[],[s2336,s4455,s1705,s1085,s4188,s16,s4190,s15,s2919,s2600,s406,s413,s407,s2482,s2485,s1251,s2223,s2527]) ).
cnf(s4983,plain,
( ~ spl0_264
| ~ spl0_181
| ~ spl0_294
| ~ spl0_119
| ~ spl0_147
| ~ spl0_61
| spl0_148
| ~ spl0_89
| ~ spl0_83
| ~ spl0_50 ),
inference(rat,[],[s2580,s4170,s2406,s2273,s1721,s1887,s4175,s4706,s4030]) ).
cnf(s4984,plain,
( ~ spl0_181
| ~ spl0_9
| ~ spl0_136
| spl0_311
| ~ spl0_294
| spl0_68
| ~ spl0_147
| ~ spl0_61
| ~ spl0_369
| ~ spl0_89
| ~ spl0_83
| ~ spl0_50 ),
inference(rat,[],[s1236,s4170,s2274,s3487,s1911,s1085,s4455,s4983,s1731,s480,s4847]) ).
cnf(s4985,plain,
( spl0_13
| ~ spl0_6
| ~ spl0_7
| spl0_68
| spl0_111
| ~ spl0_61
| ~ spl0_369
| ~ spl0_286
| ~ spl0_309
| ~ spl0_89
| ~ spl0_83
| spl0_192 ),
inference(rat,[],[s2474,s1900,s658,s4982,s395,s4984,s5,s4136,s1540,s4013,s4383,s4382,s9,s436,s1731,s4309,s480,s1533,s2482]) ).
cnf(s4986,plain,
( ~ spl0_17
| ~ spl0_13
| spl0_68
| ~ spl0_147
| ~ spl0_61
| spl0_148
| ~ spl0_309
| ~ spl0_89
| spl0_72
| spl0_192 ),
inference(rat,[],[s4454,s3127,s3715,s4030,s2223,s4455,s2527,s2131,s1006,s332,s3738,s331,s15,s348,s3273,s4964,s3866,s3765,s387,s307,s406,s3820,s1270,s1305,s2458,s1900,s2980,s4336,s3240,s436,s480,s1533,s2482,s1761,s3325,s4847]) ).
cnf(s4987,plain,
( ~ spl0_264
| ~ spl0_198
| ~ spl0_13
| ~ spl0_6
| ~ spl0_119
| ~ spl0_147
| ~ spl0_61
| spl0_148
| ~ spl0_89
| ~ spl0_83
| ~ spl0_50 ),
inference(rat,[],[s2259,s1884,s2981,s2273,s1721,s1887,s4175,s4030]) ).
cnf(s4988,plain,
( spl0_181
| ~ spl0_13
| ~ spl0_6
| spl0_68
| ~ spl0_147
| ~ spl0_61
| ~ spl0_369
| ~ spl0_309
| ~ spl0_89
| ~ spl0_83
| ~ spl0_50 ),
inference(rat,[],[s5,s433,s3645,s1173,s2485,s944,s1884,s2750,s1660,s1236,s2981,s2274,s1911,s4455,s4987,s413,s1731,s480,s1533,s4847]) ).
cnf(s4989,plain,
( ~ spl0_61
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1228,s4906,s2167,s2427,s100,s3149,s4639,s3856,s2580,s4170,s1236,s2536,s2274,s6,s1911,s2121,s4455,s4983,s1954,s4988,s3817,s4986,s4985,s2482,s1533,s1761,s4,s3325,s480,s4981,s4309,s2174,s436,s4336,s1635,s4965,s1731,s1696,s4980,s4956,s4847]) ).
cnf(s4990,plain,
( ~ spl0_68
| ~ spl0_181
| spl0_13
| spl0_61
| ~ spl0_286
| ~ spl0_309
| ~ spl0_89
| spl0_72
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s4455,s4717,s4939,s1533,s3724,s100,s4743,s3283,s574,s1027,s1697,s1955,s414,s3501,s1553,s1780,s902,s4196,s3240,s1731,s1696]) ).
cnf(s4991,plain,
( ~ spl0_266
| spl0_202
| ~ spl0_306
| ~ spl0_119
| ~ spl0_309 ),
inference(rat,[],[s3814,s2014,s2343,s3847,s4847]) ).
cnf(s4992,plain,
( ~ spl0_111
| ~ spl0_6
| spl0_113
| ~ spl0_119
| ~ spl0_181
| spl0_13
| spl0_96
| spl0_61
| spl0_148
| ~ spl0_309
| ~ spl0_89
| ~ spl0_275 ),
inference(rat,[],[s4170,s3274,s2913,s4454,s4991,s3192,s3754,s2965,s3663,s1867,s149,s1900,s4662,s1697,s19,s1533,s2223,s2527,s4234,s1954]) ).
cnf(s4993,plain,
( spl0_278
| ~ spl0_272
| spl0_44
| ~ spl0_136
| ~ spl0_135
| ~ spl0_9
| spl0_311
| spl0_148 ),
inference(rat,[],[s38,s4171,s2081,s3487]) ).
cnf(s4994,plain,
( ~ spl0_264
| spl0_44
| spl0_313
| ~ spl0_136
| ~ spl0_135
| ~ spl0_9
| spl0_311
| ~ spl0_294
| spl0_68
| ~ spl0_181
| spl0_397
| spl0_148
| ~ spl0_275 ),
inference(rat,[],[s3841,s2274,s2343,s1236,s4170,s4993,s4454,s2816,s3715,s3146,s480,s4847]) ).
cnf(s4995,plain,
( ~ spl0_263
| ~ spl0_136
| ~ spl0_9
| spl0_311
| ~ spl0_294
| spl0_68
| ~ spl0_181
| ~ spl0_369 ),
inference(rat,[],[s4170,s1236,s3487,s2274,s1085,s1911,s4847]) ).
cnf(s4996,plain,
( spl0_13
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s3841,s2274,s2343,s1236,s4170,s3480,s4454,s4994,s2864,s3715,s4455,s4995,s4309,s4992,s2223,s2527,s4234,s4294,s5,s1954,s4136,s2482,s1533,s1761,s1239,s3325,s480,s4990,s406,s2600,s1540,s4383,s4382,s4965,s4331,s3240,s436,s26,s1650,s1731,s1696,s4980,s4956,s4478,s15,s499,s4989,s4847]) ).
cnf(s4997,plain,
( ~ spl0_68
| ~ spl0_13
| spl0_25
| ~ spl0_94
| ~ spl0_286
| ~ spl0_309
| ~ spl0_89
| spl0_72
| ~ spl0_50
| ~ spl0_275 ),
inference(rat,[],[s1305,s2875,s406,s149,s2026,s3164,s2815,s3947,s2749,s533,s2834,s4796,s3265,s3841,s2113,s4454,s2864,s3715,s3152,s3146,s4455,s4717,s3724,s4309,s387,s3283,s1027,s1697,s3820,s414,s1553,s1780,s902,s4196,s4336,s4331,s3240,s26,s1650,s1731,s1696]) ).
cnf(s4998,plain,
( ~ spl0_358
| ~ spl0_111
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s333,s2,s2422,s1525,s1201,s1320,s4876,s4454,s348,s3947,s4991,s3072,s3164,s1867,s1573,s149,s1900,s3273,s5,s1270,s387,s3048,s307,s3820,s414,s2235,s4249,s2411,s1027,s2072,s2682,s926,s1540,s2669,s4336,s2983,s1696,s480,s1239,s1697,s4294,s2898,s2482,s1761,s3325,s4997,s499,s4530,s4989,s4980,s4956,s436,s4965,s4996,s4847]) ).
cnf(s4999,plain,
( ~ spl0_264
| ~ spl0_265
| spl0_145
| ~ spl0_6
| ~ spl0_13
| spl0_397
| ~ spl0_285
| ~ spl0_309 ),
inference(rat,[],[s2217,s4388,s1043,s2235,s1329,s2285,s1027,s2900,s3714,s2796,s3715,s2241,s4294]) ).
cnf(s5000,plain,
( ~ spl0_111
| spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4995,s3048,s5,s1201,s4170,s1236,s2274,s1911,s4455,s4999,s4454,s4991,s1867,s149,s506,s1305,s406,s2600,s4998,s4294,s2898,s1697,s4331,s3240,s1731,s1696,s15,s480,s1239,s1533,s2482,s1761,s3325,s4997,s4996,s499,s4530,s4989,s4980,s4956,s436,s4965,s4847]) ).
cnf(s5001,plain,
( ~ spl0_17
| ~ spl0_284
| ~ spl0_183
| ~ spl0_6
| ~ spl0_13 ),
inference(rat,[],[s954,s2749,s2995,s1900,s2980,s1533]) ).
cnf(s5002,plain,
( ~ spl0_278
| ~ spl0_49
| ~ spl0_288
| ~ spl0_6
| spl0_68
| ~ spl0_13 ),
inference(rat,[],[s1236,s2274,s1884,s3525,s2259,s975,s4847]) ).
cnf(s5003,plain,
( ~ spl0_264
| ~ spl0_183
| ~ spl0_198
| ~ spl0_147
| ~ spl0_6
| spl0_68
| ~ spl0_13
| spl0_148
| ~ spl0_89
| ~ spl0_83 ),
inference(rat,[],[s3525,s3290,s2981,s5002,s3818,s5001,s2864,s4030,s4331,s26,s1650,s480,s4847]) ).
cnf(s5004,plain,
( spl0_181
| ~ spl0_147
| ~ spl0_6
| spl0_68
| ~ spl0_13
| ~ spl0_26
| ~ spl0_369
| ~ spl0_309
| ~ spl0_89
| ~ spl0_83
| spl0_192 ),
inference(rat,[],[s1173,s1027,s1884,s1153,s1236,s2981,s2274,s1911,s4455,s5003,s2669,s2600,s406,s413,s1731,s480,s4847]) ).
cnf(s5005,plain,
( ~ spl0_264
| spl0_202
| ~ spl0_49
| spl0_145
| ~ spl0_147
| ~ spl0_6
| spl0_68
| ~ spl0_13
| ~ spl0_94
| spl0_397
| spl0_148
| ~ spl0_309
| ~ spl0_83
| ~ spl0_275 ),
inference(rat,[],[s3841,s3265,s4991,s2834,s4454,s5002,s4999,s4030,s3146,s4331,s480]) ).
cnf(s5006,plain,
( spl0_72
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s5,s1201,s4995,s4454,s4906,s2006,s4051,s2427,s2624,s3149,s2488,s3856,s813,s4170,s1236,s2536,s2274,s6,s1911,s2121,s4455,s5005,s1867,s3817,s3818,s149,s4294,s506,s1954,s1305,s5004,s4309,s5000,s2482,s1533,s1761,s1239,s3325,s480,s4997,s4996,s15,s499,s4530,s4989,s3240,s1731,s1696,s4980,s4965,s4956,s4336,s436,s4847]) ).
cnf(s5007,plain,
( spl0_145
| spl0_89
| ~ spl0_68
| spl0_13
| spl0_309
| ~ spl0_72
| ~ spl0_275 ),
inference(rat,[],[s4226,s4512,s395,s5,s4,s3048,s2932,s2470,s1706,s1533,s3648,s989,s4416,s4847]) ).
cnf(s5008,plain,
( ~ spl0_61
| ~ spl0_20
| ~ spl0_306
| spl0_309
| ~ spl0_72
| spl0_192 ),
inference(rat,[],[s4365,s1900,s2498,s3498,s1548,s24,s412,s3834,s3833,s4244,s3825,s4847]) ).
cnf(s5009,plain,
( spl0_89
| ~ spl0_68
| spl0_13
| spl0_309
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2848,s413,s2114,s3187,s4801,s2163,s3309,s4365,s63,s2706,s1446,s3809,s23,s2556,s1466,s5008,s3947,s2852,s360,s307,s906,s2078,s921,s5007,s26,s1258,s436,s1207,s5006,s3825,s19,s4847]) ).
cnf(s5010,plain,
( spl0_181
| ~ spl0_7
| spl0_27
| spl0_20
| ~ spl0_111
| spl0_190
| spl0_309
| spl0_311
| spl0_192 ),
inference(rat,[],[s16,s5,s15,s402,s4874]) ).
cnf(s5011,plain,
( ~ spl0_264
| spl0_313
| ~ spl0_285
| ~ spl0_95
| ~ spl0_33
| ~ spl0_4
| ~ spl0_111
| spl0_343
| ~ spl0_120 ),
inference(rat,[],[s2995,s4067,s2373]) ).
cnf(s5012,plain,
( ~ spl0_6
| ~ spl0_111
| ~ spl0_89
| ~ spl0_68
| spl0_13
| ~ spl0_120
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1519,s1150,s4454,s3275,s1911,s4455,s5011,s3724,s3283,s2852,s2072,s1696,s26,s1224,s4234,s1650,s4331,s2189,s1609,s2875,s1790,s3707,s23,s149,s3652,s3809,s1525,s2,s12,s3947,s414,s1446,s97,s1707,s2470,s3526,s2706,s1706,s1533,s436,s407,s1207,s5006,s19,s2174,s1635]) ).
cnf(s5013,plain,
( ~ spl0_68
| spl0_13
| spl0_309
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4662,s4365,s528,s5012,s4248,s4957,s1265,s5009,s5006,s1255,s3825,s4847]) ).
cnf(s5014,plain,
( ~ spl0_111
| ~ spl0_61
| ~ spl0_286
| spl0_13
| ~ spl0_72
| ~ spl0_275 ),
inference(rat,[],[s4234,s1718,s2078,s1929,s1909,s4801]) ).
cnf(s5015,plain,
( ~ spl0_58
| spl0_393
| spl0_68
| spl0_309
| ~ spl0_72
| ~ spl0_275 ),
inference(rat,[],[s2,s3527,s313,s574,s395,s4416,s906,s307,s1207,s4,s2933,s1696,s2773,s480,s4847]) ).
cnf(s5016,plain,
( spl0_89
| spl0_13
| spl0_309
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2,s1558,s97,s3361,s149,s3947,s3163,s2852,s360,s5015,s26,s4286,s1258,s19,s4365,s4801,s3825,s4,s2933,s1696,s2773,s480,s5013,s5006,s4847]) ).
cnf(s5017,plain,
( ~ spl0_264
| ~ spl0_181
| spl0_396
| ~ spl0_111
| ~ spl0_285
| spl0_343
| ~ spl0_294
| spl0_309
| ~ spl0_193 ),
inference(rat,[],[s3274,s4454,s4170,s2426,s1236,s722,s2352,s1255,s4847]) ).
cnf(s5018,plain,
( spl0_13
| spl0_309
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1570,s1928,s4170,s973,s1236,s2274,s1911,s4455,s5017,s3707,s3652,s5010,s12,s3947,s3507,s508,s3775,s412,s3817,s24,s1687,s4013,s1548,s4331,s1731,s1265,s1635,s5016,s1533,s4,s4365,s1348,s2933,s4801,s1696,s2773,s480,s5013,s4382,s19,s407,s1207,s5006,s3825,s4847]) ).
cnf(s5019,plain,
( spl0_145
| spl0_161
| spl0_136
| spl0_195
| ~ spl0_6
| spl0_89
| ~ spl0_13
| spl0_309
| ~ spl0_275 ),
inference(rat,[],[s4051,s1696,s3221,s4455,s416,s4905,s4244,s2613,s4731,s3817,s3834,s149,s506,s1305,s395,s4416,s1533,s6,s1534,s4,s2932,s4847]) ).
cnf(s5020,plain,
( ~ spl0_6
| spl0_89
| ~ spl0_68
| spl0_309
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1548,s2640,s24,s1900,s412,s3834,s3833,s4248,s2898,s921,s5019,s676,s2470,s3526,s2706,s1706,s436,s1207,s5006,s5018,s4847]) ).
cnf(s5021,plain,
( spl0_89
| ~ spl0_68
| spl0_309
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s3763,s4659,s3711,s4801,s989,s4365,s3648,s5020,s26,s1258,s5006,s3825,s5018,s4847]) ).
cnf(s5022,plain,
( ~ spl0_68
| spl0_309
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2083,s1920,s2190,s4388,s1718,s2280,s1548,s4294,s3817,s2898,s1790,s2086,s4248,s2183,s4957,s5021,s1207,s5006,s5018,s4847]) ).
cnf(s5023,plain,
( ~ spl0_111
| spl0_89
| ~ spl0_7
| spl0_136
| ~ spl0_369
| ~ spl0_286
| ~ spl0_13
| spl0_309
| spl0_311 ),
inference(rat,[],[s3925,s4669,s1929,s4455,s1718,s4905,s1474,s1548,s3817,s506,s1305,s395,s4416,s2898,s6,s1534,s1533,s4365,s3825,s4847]) ).
cnf(s5024,plain,
( spl0_89
| spl0_309
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2859,s2442,s3498,s406,s1466,s1305,s23,s1900,s2980,s3862,s3834,s3833,s4248,s5023,s22,s360,s5015,s4286,s1207,s5018,s4,s2933,s1696,s1533,s4365,s4801,s2773,s480,s5022,s5006,s3825,s4847]) ).
cnf(s5025,plain,
( spl0_309
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4416,s2898,s395,s4248,s1305,s3833,s2980,s412,s3817,s24,s1548,s1731,s5024,s1533,s4,s4365,s2933,s4801,s1696,s2773,s480,s5022,s5018,s3825,s1207,s5006,s4847]) ).
cnf(s5026,plain,
( ~ spl0_6
| spl0_190
| spl0_13
| spl0_145
| ~ spl0_68
| ~ spl0_72
| ~ spl0_275 ),
inference(rat,[],[s4226,s402,s4124,s5,s4234,s3048,s2470,s1706,s1533,s4294]) ).
cnf(s5027,plain,
( spl0_136
| ~ spl0_17
| spl0_6
| spl0_13
| spl0_145
| ~ spl0_309 ),
inference(rat,[],[s4361,s1667,s155,s2322,s6,s4234,s1534]) ).
cnf(s5028,plain,
( ~ spl0_111
| ~ spl0_181
| ~ spl0_318
| spl0_286
| ~ spl0_143
| ~ spl0_136
| ~ spl0_17
| ~ spl0_82
| spl0_96
| ~ spl0_8
| spl0_13
| spl0_145
| spl0_306
| ~ spl0_68
| spl0_311
| ~ spl0_275 ),
inference(rat,[],[s4106,s3727,s1381,s3689,s3841,s4454,s2256,s3146,s2759,s4455,s4530,s4074,s4663,s5,s1284,s4302,s2110,s2498,s4662,s19,s9,s1919,s4294]) ).
cnf(s5029,plain,
( spl0_89
| spl0_13
| ~ spl0_68
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s3120,s5028,s406,s2698,s2171,s3227,s2485,s4801,s2470,s5027,s525,s3350,s26,s2766,s4310,s1258,s1207,s2348,s4196,s436,s1761,s528,s5026,s4382,s2078,s1780,s5025,s5006,s4847]) ).
cnf(s5030,plain,
( spl0_13
| ~ spl0_68
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4663,s196,s3646,s2759,s1919,s2,s2110,s4174,s4801,s2470,s203,s2189,s4309,s5027,s2875,s1790,s1697,s3823,s5029,s3648,s5026,s4382,s4250,s4294,s2078,s1780,s5025,s5006,s4847]) ).
cnf(s5031,plain,
( spl0_286
| spl0_136
| ~ spl0_6
| spl0_89
| spl0_145
| spl0_195
| ~ spl0_68
| ~ spl0_309
| ~ spl0_50 ),
inference(rat,[],[s406,s2698,s4221,s2171,s2190,s3227,s4388]) ).
cnf(s5032,plain,
( ~ spl0_6
| spl0_89
| ~ spl0_68
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s3817,s506,s4905,s1305,s433,s926,s4455,s1027,s4051,s1553,s1696,s5031,s5,s6,s3048,s1534,s676,s2470,s2706,s1706,s1533,s436,s4196,s2078,s1780,s5025,s5006,s5030,s4847]) ).
cnf(s5033,plain,
( spl0_136
| spl0_89
| ~ spl0_68
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4871,s4682,s916,s1305,s533,s406,s3947,s2698,s2083,s2856,s2171,s1920,s3120,s2532,s2190,s3227,s1327,s1553,s1027,s4361,s155,s6,s4388,s1534,s4294,s2078,s1780,s5006,s5030,s2766,s2348,s4196,s5025,s436,s63,s526,s5032]) ).
cnf(s5034,plain,
( ~ spl0_17
| ~ spl0_181
| ~ spl0_111
| ~ spl0_318
| spl0_286
| ~ spl0_143
| ~ spl0_136
| ~ spl0_246
| ~ spl0_54
| spl0_89
| ~ spl0_13
| ~ spl0_135
| ~ spl0_194
| spl0_306
| ~ spl0_68
| spl0_311
| ~ spl0_275 ),
inference(rat,[],[s1381,s3735,s1928,s2155,s973,s2664,s4397,s4455,s4685,s533,s12,s1614,s2759,s4530,s4663,s2110,s2708,s4310,s1919]) ).
cnf(s5035,plain,
( spl0_89
| ~ spl0_68
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s915,s4253,s4871,s5034,s406,s2698,s2171,s3120,s3227,s1327,s2485,s4801,s2470,s5033,s3649,s63,s5032,s2766,s1207,s409,s2348,s4196,s436,s4294,s2078,s1780,s5025,s5006,s5030,s4847]) ).
cnf(s5036,plain,
( ~ spl0_6
| ~ spl0_68
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4221,s2190,s4981,s1446,s402,s1525,s5,s2,s3048,s4388,s97,s2470,s2706,s1706,s436,s2078,s1780,s149,s1790,s2682,s4249,s2086,s2183,s5035,s5006,s5030,s4196,s5025]) ).
cnf(s5037,plain,
( spl0_136
| spl0_6
| spl0_58
| spl0_145
| ~ spl0_68
| ~ spl0_309 ),
inference(rat,[],[s2083,s1920,s2190,s1553,s1027,s4361,s155,s6,s4388,s1534,s4294]) ).
cnf(s5038,plain,
( ~ spl0_68
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2759,s4174,s2280,s4801,s5037,s4530,s915,s1707,s4253,s3649,s5036,s4309,s1790,s2086,s1697,s2183,s5035,s5030,s2078,s1780,s5006,s5025,s4847]) ).
cnf(s5041,plain,
( ~ spl0_145
| spl0_136
| spl0_190
| ~ spl0_6
| spl0_393
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s34,s143,s2,s4082,s3766,s5,s2427,s402,s2637,s1954,s5025,s5038,s1533,s1540,s1534]) ).
cnf(s5042,plain,
( ~ spl0_10
| spl0_190
| spl0_13
| spl0_393
| spl0_89
| spl0_68
| ~ spl0_72 ),
inference(rat,[],[s2,s3527,s313,s574,s402,s4512]) ).
cnf(s5043,plain,
( spl0_136
| ~ spl0_9
| spl0_190
| ~ spl0_6
| spl0_393
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s3048,s5041]) ).
cnf(s5044,plain,
( ~ spl0_29
| spl0_393
| spl0_68
| ~ spl0_72 ),
inference(rat,[],[s2,s1558,s97]) ).
cnf(s5045,plain,
( spl0_13
| ~ spl0_6
| spl0_89
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s5,s5043,s5042,s4382,s2527,s5044,s4286,s5038,s5006,s5025]) ).
cnf(s5046,plain,
( ~ spl0_278
| ~ spl0_49
| ~ spl0_33
| ~ spl0_25
| ~ spl0_13
| ~ spl0_6
| spl0_68 ),
inference(rat,[],[s1035,s2749,s1167,s1467,s5002]) ).
cnf(s5047,plain,
( spl0_286
| ~ spl0_6
| spl0_89
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1153,s4455,s963,s734,s5046,s3818,s23,s1257,s2537,s310,s2442,s2856,s432,s406,s3947,s574,s915,s2083,s2411,s1027,s3071,s1920,s4872,s2532,s2190,s1327,s1239,s436,s4310,s4388,s3526,s4294,s5,s3048,s2996,s2427,s3766,s2,s70,s5045,s1533,s2527,s5044,s4286,s5038,s5006,s5025,s4847]) ).
cnf(s5048,plain,
( ~ spl0_313
| ~ spl0_286
| ~ spl0_195
| ~ spl0_275 ),
inference(rat,[],[s2411,s2072]) ).
cnf(s5049,plain,
( ~ spl0_6
| spl0_89
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s3817,s506,s4906,s1305,s433,s926,s5048,s1696,s5047,s5,s3048,s2996,s2427,s3766,s2,s70,s5045,s6,s1534,s2527,s1533,s5025,s5044,s4286,s5038,s5006,s4847]) ).
cnf(s5050,plain,
( spl0_89
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2107,s4331,s4309,s1568,s1747,s4253,s533,s916,s3071,s1327,s5048,s1027,s926,s4250,s1787,s3646,s2427,s3212,s3766,s2,s312,s906,s307,s4256,s3649,s63,s5049,s5044,s26,s4286,s4310,s1258,s1207,s5006,s5025,s1239,s5038,s436,s4847]) ).
cnf(s5051,plain,
( spl0_303
| ~ spl0_284
| ~ spl0_282
| ~ spl0_264
| ~ spl0_94
| ~ spl0_20
| ~ spl0_344
| ~ spl0_84
| ~ spl0_306
| ~ spl0_119
| ~ spl0_72 ),
inference(rat,[],[s3743,s2899,s3604,s4454,s1057,s2343,s4847]) ).
cnf(s5052,plain,
( ~ spl0_264
| ~ spl0_111
| spl0_148
| ~ spl0_33
| ~ spl0_29
| ~ spl0_17
| ~ spl0_94
| ~ spl0_20
| ~ spl0_344
| ~ spl0_25
| ~ spl0_84
| ~ spl0_306
| spl0_343
| ~ spl0_119
| ~ spl0_72 ),
inference(rat,[],[s4454,s1524,s2899,s3743,s3604,s2294,s2995,s3204,s5051,s4067,s3146,s2,s97,s4331]) ).
cnf(s5053,plain,
( spl0_136
| ~ spl0_145
| spl0_13
| ~ spl0_6
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2440,s1037,s1911,s1420,s4455,s5052,s4013,s1731,s23,s1696,s3862,s2190,s3361,s3775,s2079,s3818,s508,s1597,s4530,s3507,s3498,s4082,s4388,s436,s480,s5038,s1635,s1265,s5050,s19,s9,s2078,s4024,s307,s906,s1207,s5006,s5,s402,s414,s2427,s2637,s1533,s15,s2600,s406,s1954,s5025,s1540,s4382,s4847]) ).
cnf(s5054,plain,
( ~ spl0_145
| spl0_13
| ~ spl0_6
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1519,s1150,s4454,s2256,s4455,s1085,s3707,s4188,s22,s3652,s16,s2859,s12,s3947,s2166,s2112,s2160,s2428,s2185,s2527,s4801,s5053,s15,s414,s5,s2600,s3765,s2442,s100,s2427,s402,s406,s307,s2637,s1954,s906,s1207,s5025,s480,s5038,s1265,s5050,s5006,s1533,s19,s9,s1540,s4382]) ).
cnf(s5055,plain,
( ~ spl0_264
| spl0_286
| ~ spl0_58
| spl0_136
| spl0_145
| ~ spl0_72 ),
inference(rat,[],[s2762,s2221,s1064,s2203,s734,s2849,s4294,s5,s3048]) ).
cnf(s5056,plain,
( spl0_136
| spl0_145
| spl0_13
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s1153,s1116,s4455,s5055,s3817,s1602,s1027,s2001,s1251,s2142,s2079,s2190,s1696,s4124,s1731,s5,s4234,s3048,s5006,s5025,s5038,s1635,s5050,s4294,s4847]) ).
cnf(s5057,plain,
( ~ spl0_111
| spl0_354
| ~ spl0_136
| ~ spl0_135
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s12,s1614,s2166,s2174,s1635,s1265,s5050,s4801,s5006]) ).
cnf(s5058,plain,
( ~ spl0_264
| ~ spl0_24
| ~ spl0_61
| ~ spl0_147
| spl0_397
| ~ spl0_29
| ~ spl0_136
| ~ spl0_89
| spl0_68
| ~ spl0_309
| ~ spl0_72 ),
inference(rat,[],[s3814,s1236,s2294,s2274,s1721,s3847,s1887,s4454,s2686,s2257,s480,s2,s97,s4847]) ).
cnf(s5059,plain,
( spl0_13
| ~ spl0_6
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s3814,s1236,s2294,s2274,s3841,s2010,s3847,s4454,s3736,s1330,s4455,s5058,s3652,s1614,s2074,s12,s3947,s2768,s2246,s1220,s4174,s2109,s4309,s5057,s3230,s414,s2,s2160,s513,s97,s2527,s4801,s5056,s4294,s5054,s19,s5006,s5025,s480,s5038,s1635,s5050,s4847]) ).
cnf(s5060,plain,
( ~ spl0_145
| ~ spl0_6
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s2160,s4174,s2527,s4801,s1619,s17,s15,s5,s2600,s402,s1540,s2682,s4249,s2427,s406,s4309,s2640,s2637,s1954,s2898,s921,s1207,s5025,s480,s5038,s1265,s1533,s2086,s2183,s5050,s5006,s5059]) ).
cnf(s5061,plain,
( spl0_286
| spl0_136
| ~ spl0_135
| spl0_58 ),
inference(rat,[],[s2083,s1920,s2190,s4388]) ).
cnf(s5062,plain,
( spl0_17
| spl0_61
| ~ spl0_306
| spl0_148
| ~ spl0_10
| spl0_136
| ~ spl0_135
| ~ spl0_13
| ~ spl0_6
| spl0_44
| spl0_113
| spl0_68
| ~ spl0_309
| ~ spl0_72 ),
inference(rat,[],[s3746,s5002,s1375,s1201,s1471,s4454,s3947,s4991,s3507,s1867,s3818,s149,s480,s4847]) ).
cnf(s5063,plain,
( ~ spl0_95
| ~ spl0_10
| spl0_58
| ~ spl0_13
| ~ spl0_89 ),
inference(rat,[],[s2682,s402,s4249,s1305,s2458]) ).
cnf(s5064,plain,
( ~ spl0_111
| spl0_136
| ~ spl0_6
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s5062,s2174,s1697,s5025,s1239,s5038,s436,s1635,s1265,s1718,s5061,s4294,s506,s5063,s5,s3048,s5060,s2086,s2183,s5006,s5050,s5059]) ).
cnf(s5065,plain,
( spl0_136
| ~ spl0_6
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4454,s3878,s1201,s4170,s433,s926,s1027,s1153,s1236,s2274,s1911,s4455,s4050,s4309,s5064,s3947,s3507,s3818,s506,s5063,s1718,s1696,s5061,s399,s5,s3048,s5025,s5038,s1265,s1533,s2086,s2183,s5050,s5006,s5059,s4294,s5060,s4847]) ).
cnf(s5066,plain,
( ~ spl0_6
| spl0_192
| ~ spl0_275 ),
inference(rat,[],[s4453,s5057,s1220,s2160,s2110,s2527,s2280,s4801,s5065,s4294,s5060,s5059,s5006,s5025,s480,s5038,s5050]) ).
cnf(s5067,plain,
( spl0_192
| ~ spl0_275 ),
inference(rat,[],[s6,s4528,s2120,s3498,s196,s2504,s4662,s4801,s5056,s3659,s906,s1270,s307,s4256,s528,s3,s5066,s1265,s5050,s480,s5038,s1207,s5006,s4847]) ).
cnf(s5068,plain,
( ~ spl0_7
| spl0_186
| ~ spl0_36
| ~ spl0_68
| spl0_89
| ~ spl0_23
| ~ spl0_294 ),
inference(rat,[],[s4226,s360,s395,s3163]) ).
cnf(s5069,plain,
( ~ spl0_68
| spl0_72
| ~ spl0_145
| spl0_89
| spl0_136
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s1115,s3880,s4586,s3626,s4869,s2001,s3411,s4455,s3186,s3866,s2256,s2112,s1327,s1851,s4016,s3501,s100,s4454,s1964,s4013,s4309,s307,s4920,s4731,s414,s2557,s406,s906,s1780,s4196,s2637,s1954,s2482,s2945,s2932,s4,s5068,s658,s2474,s3817,s149,s4225,s5067,s1533,s9,s6,s1534,s921,s4336,s344,s19,s4847]) ).
cnf(s5070,plain,
( ~ spl0_20
| ~ spl0_111
| ~ spl0_7
| ~ spl0_145
| spl0_89
| ~ spl0_23
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s360,s307,s3163,s906,s149,s1204,s2847,s5067]) ).
cnf(s5071,plain,
( ~ spl0_111
| spl0_309
| spl0_72
| ~ spl0_145
| spl0_89
| spl0_136
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4170,s413,s1519,s3187,s4454,s1741,s2899,s1815,s1032,s1236,s2843,s2352,s4455,s4331,s3515,s4051,s1718,s3707,s360,s1909,s1929,s3853,s3652,s2852,s4657,s3767,s12,s3947,s5070,s1533,s4388,s26,s1258,s921,s4336,s344,s19,s4,s3325,s1255,s1696,s2773,s480,s5069,s4847]) ).
cnf(s5072,plain,
( ~ spl0_264
| spl0_417
| ~ spl0_24
| ~ spl0_61
| spl0_164
| ~ spl0_147 ),
inference(rat,[],[s2502,s2686,s2843]) ).
cnf(s5073,plain,
( spl0_309
| spl0_72
| ~ spl0_145
| spl0_89
| spl0_136
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s1857,s4454,s4251,s2006,s4910,s1911,s4051,s4455,s5072,s3853,s3652,s4657,s3767,s12,s3947,s2847,s1718,s3834,s4013,s4248,s4309,s5071,s1696,s2773,s5067,s4336,s344,s19,s480,s5069,s4847]) ).
cnf(s5074,plain,
( spl0_72
| ~ spl0_145
| spl0_89
| spl0_136
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s38,s2847,s2852,s2474,s360,s658,s307,s395,s906,s1954,s2482,s5073,s4,s3325,s5069,s5067,s19,s26,s1258]) ).
cnf(s5075,plain,
( ~ spl0_145
| spl0_89
| spl0_136
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s1120,s4,s3507,s1901,s3163,s2706,s3817,s3818,s149,s523,s2847,s3947,s2852,s360,s307,s906,s1207,s5074,s5067,s19,s26,s1258,s4847]) ).
cnf(s5076,plain,
( spl0_61
| spl0_72
| ~ spl0_181
| ~ spl0_150
| spl0_89
| ~ spl0_12
| spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s3266,s4731,s523,s2847,s4528,s4478]) ).
cnf(s5077,plain,
( spl0_72
| spl0_89
| spl0_136
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3853,s2843,s3767,s2502,s3947,s1756,s2849,s4895,s2679,s4455,s4309,s4894,s1929,s5076,s1718,s1696,s3227,s2465,s344,s4336,s6,s1534,s2487,s19,s2680,s4234,s307,s4226,s433,s926,s1514,s453,s5067,s1281,s4512,s5,s3048,s5075,s1533]) ).
cnf(s5078,plain,
( spl0_286
| spl0_68
| ~ spl0_356
| ~ spl0_135
| spl0_136 ),
inference(rat,[],[s2079,s2142,s2190]) ).
cnf(s5079,plain,
( ~ spl0_264
| ~ spl0_120
| ~ spl0_4
| ~ spl0_181
| ~ spl0_356
| spl0_145
| spl0_136 ),
inference(rat,[],[s2744,s1583,s2351,s734,s3915,s6,s1534,s4294,s5,s3048]) ).
cnf(s5080,plain,
( spl0_309
| ~ spl0_369
| ~ spl0_4
| spl0_68
| ~ spl0_181
| ~ spl0_356
| ~ spl0_47
| ~ spl0_148
| spl0_145
| spl0_136
| ~ spl0_294
| ~ spl0_192 ),
inference(rat,[],[s3834,s4248,s1717,s1928,s1567,s1570,s4170,s1236,s2274,s1911,s974,s4455,s5079,s1255,s4847]) ).
cnf(s5081,plain,
( ~ spl0_111
| ~ spl0_309
| ~ spl0_286
| spl0_195
| ~ spl0_72
| spl0_89
| spl0_13
| ~ spl0_275 ),
inference(rat,[],[s4731,s5014,s4127,s5067]) ).
cnf(s5082,plain,
( ~ spl0_264
| ~ spl0_61
| ~ spl0_95
| ~ spl0_147
| ~ spl0_286
| spl0_68
| spl0_313
| ~ spl0_10
| ~ spl0_148
| spl0_145
| ~ spl0_294 ),
inference(rat,[],[s2690,s4259,s4454,s4170,s4089,s734,s433,s926,s4847]) ).
cnf(s5083,plain,
( ~ spl0_17
| ~ spl0_147
| ~ spl0_369
| ~ spl0_4
| ~ spl0_84
| spl0_68
| spl0_313
| ~ spl0_47
| ~ spl0_148
| spl0_145
| spl0_89
| spl0_136
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s2042,s2995,s2408,s2269,s4894,s1911,s4455,s5082,s1466,s23,s134,s3947,s2322,s3994,s2847,s4310,s480,s1718,s5078,s4294,s5080,s433,s926,s5,s3048,s1251,s1533]) ).
cnf(s5084,plain,
( spl0_89
| spl0_136
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2406,s2762,s2432,s5072,s1064,s4170,s3652,s734,s12,s4455,s4895,s4894,s2409,s2613,s4731,s149,s5083,s4309,s5081,s5080,s1718,s1696,s5078,s2,s414,s313,s2380,s5077,s574,s4226,s433,s926,s1251,s1514,s453,s1281,s4512,s2680,s5,s4234,s3048,s4294,s5075,s5067,s1533,s19]) ).
cnf(s5085,plain,
( spl0_309
| ~ spl0_166
| spl0_186
| ~ spl0_468
| ~ spl0_68
| ~ spl0_83
| spl0_343
| spl0_136
| ~ spl0_23
| ~ spl0_294
| ~ spl0_275 ),
inference(rat,[],[s3866,s4226,s2556,s395,s2174,s4,s4248,s2932]) ).
cnf(s5086,plain,
( spl0_286
| ~ spl0_68
| spl0_72
| ~ spl0_145
| spl0_136
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s1153,s1116,s4455,s2256,s1851,s1027,s100,s4454,s3750,s307,s4920,s414,s406,s906,s2112,s4013,s1780,s4196,s1954,s2482,s2978,s5085,s1327,s1533,s19,s9,s1635,s5084,s4336,s3834,s3817,s658,s2474,s4225,s6,s1534,s5067,s4847]) ).
cnf(s5087,plain,
( ~ spl0_68
| spl0_72
| ~ spl0_145
| spl0_136
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2978,s4013,s1548,s1731,s1696,s5086,s3817,s4225,s5067,s6,s1534,s5084,s4847]) ).
cnf(s5088,plain,
( spl0_286
| spl0_68
| ~ spl0_83
| ~ spl0_145
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3866,s3765,s307,s406,s906,s1954,s2482,s2773,s1327,s480,s4847]) ).
cnf(s5089,plain,
( spl0_72
| ~ spl0_145
| spl0_136
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2847,s4528,s3817,s4478,s1548,s2174,s2978,s4013,s1731,s1696,s5088,s5087,s4336,s5067,s6,s1534,s1635,s5084,s4847]) ).
cnf(s5090,plain,
( ~ spl0_61
| ~ spl0_68
| ~ spl0_306
| ~ spl0_192 ),
inference(rat,[],[s3834,s4244,s3231,s1780,s4847]) ).
cnf(s5091,plain,
( spl0_181
| spl0_313
| ~ spl0_95
| ~ spl0_111
| ~ spl0_285
| ~ spl0_369
| spl0_61
| ~ spl0_4
| ~ spl0_120
| spl0_20
| spl0_195
| ~ spl0_29
| spl0_58
| spl0_27
| spl0_343
| ~ spl0_16 ),
inference(rat,[],[s1037,s2440,s1420,s1911,s4455,s5011,s23,s134,s16,s5,s4024,s402,s406,s414,s3947,s2682,s4249]) ).
cnf(s5092,plain,
( ~ spl0_264
| ~ spl0_181
| spl0_313
| spl0_309
| ~ spl0_344
| ~ spl0_294 ),
inference(rat,[],[s4170,s3856,s1236,s3801,s2352,s3148,s1255,s4847]) ).
cnf(s5093,plain,
( ~ spl0_303
| ~ spl0_263
| ~ spl0_181
| ~ spl0_17
| ~ spl0_111
| ~ spl0_47
| ~ spl0_294 ),
inference(rat,[],[s1570,s1928,s4170,s973]) ).
cnf(s5094,plain,
( ~ spl0_68
| ~ spl0_145
| spl0_136
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s1519,s1150,s4454,s2769,s5093,s4455,s5092,s5091,s2072,s1609,s2875,s2852,s3817,s26,s1548,s4013,s1650,s4331,s1731,s1696,s2190,s2083,s2069,s5090,s3707,s3652,s2,s12,s3947,s1255,s97,s1707,s3526,s1780,s2706,s1706,s5067,s1533,s19,s9,s4388,s1635,s5084,s1348,s2078,s307,s906,s1207,s5089,s4847]) ).
cnf(s5095,plain,
( ~ spl0_264
| ~ spl0_198
| spl0_146
| spl0_309
| spl0_311
| ~ spl0_145
| ~ spl0_344
| ~ spl0_294
| ~ spl0_192 ),
inference(rat,[],[s3746,s4454,s1566,s1150,s1660,s1236,s2829,s2352,s1255,s4847]) ).
cnf(s5096,plain,
( ~ spl0_263
| ~ spl0_47
| ~ spl0_17
| ~ spl0_111
| ~ spl0_369
| spl0_68
| ~ spl0_152
| ~ spl0_6 ),
inference(rat,[],[s1570,s3626,s1928,s1884,s973,s1236,s2274,s1911,s4847]) ).
cnf(s5097,plain,
( spl0_309
| ~ spl0_145
| spl0_136
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4454,s1519,s3274,s4170,s413,s1236,s5095,s2352,s4455,s5096,s3707,s1375,s3652,s2852,s1471,s12,s3947,s2847,s3817,s26,s1548,s1687,s4013,s1650,s1731,s1696,s2773,s5067,s1533,s19,s4388,s5084,s921,s1207,s5089,s480,s5094,s4847]) ).
cnf(s5098,plain,
( ~ spl0_145
| spl0_136
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s395,s658,s4,s2474,s2945,s1602,s3498,s2001,s196,s3186,s1862,s2112,s4557,s1696,s414,s1731,s2427,s406,s4013,s2637,s1954,s2978,s5097,s1265,s5089,s5067,s1533,s19,s9,s5084]) ).
cnf(s5099,plain,
( spl0_136
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4226,s433,s5078,s926,s1251,s1514,s1696,s4124,s453,s1281,s1731,s5,s4234,s3048,s4294,s5098,s5084,s5067,s1533]) ).
cnf(s5100,plain,
( ~ spl0_48
| spl0_72
| ~ spl0_68
| spl0_89
| ~ spl0_23
| ~ spl0_294
| ~ spl0_192 ),
inference(rat,[],[s3013,s360,s1964,s2852,s4657,s26,s1258]) ).
cnf(s5101,plain,
( ~ spl0_20
| spl0_309
| ~ spl0_136
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s1548,s2680,s3817,s2471,s2847,s4847]) ).
cnf(s5102,plain,
( spl0_309
| spl0_89
| ~ spl0_145
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s5100,s480,s1207,s2773,s906,s4650,s307,s360,s2852,s3947,s5101,s5067,s1533,s19,s5099,s921,s26,s1258,s4847]) ).
cnf(s5103,plain,
( spl0_89
| ~ spl0_145
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2852,s360,s3947,s307,s523,s906,s2527,s2482,s5102,s26,s1258,s5067,s19,s5099]) ).
cnf(s5104,plain,
( ~ spl0_264
| spl0_148
| ~ spl0_17
| ~ spl0_147
| spl0_309
| ~ spl0_192 ),
inference(rat,[],[s1717,s1566,s1236,s2817,s2352,s3146,s4331,s4847]) ).
cnf(s5105,plain,
( spl0_72
| spl0_309
| ~ spl0_145
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3856,s2536,s3149,s3626,s1911,s2306,s4455,s5104,s1731,s1696,s5088,s480,s4225,s3834,s4248,s4309,s2174,s3949,s4478,s4336,s921,s1635,s5103,s4528,s6,s2120,s5101,s5099,s5067,s4847]) ).
cnf(s5106,plain,
( spl0_309
| ~ spl0_145
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s479,s2773,s1706,s4801,s2470,s5105,s5099,s4847]) ).
cnf(s5107,plain,
( ~ spl0_264
| spl0_422
| ~ spl0_356
| ~ spl0_22
| ~ spl0_29
| spl0_111
| ~ spl0_16 ),
inference(rat,[],[s1705,s2290,s2336]) ).
cnf(s5108,plain,
( ~ spl0_145
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2440,s1085,s1911,s4455,s5107,s2919,s1696,s1540,s2112,s2682,s2185,s4249,s414,s4024,s307,s1251,s2427,s406,s906,s1027,s2527,s2637,s1954,s2482,s2978,s5106,s5103,s5067,s1533,s9,s2235,s5099]) ).
cnf(s5109,plain,
( spl0_286
| spl0_89
| spl0_309
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s5026,s480,s2465,s2773,s3227,s2487,s4437,s1514,s2852,s26,s1258,s3707,s3652,s12,s19,s3947,s5101,s5099,s5067,s5108,s4847]) ).
cnf(s5110,plain,
( ~ spl0_111
| ~ spl0_181
| ~ spl0_61
| spl0_161
| ~ spl0_369
| ~ spl0_286
| ~ spl0_48
| spl0_309
| ~ spl0_135
| ~ spl0_294 ),
inference(rat,[],[s4170,s2081,s1236,s2816,s2352,s3146,s4455,s1718,s4051,s1929,s1909,s4847]) ).
cnf(s5111,plain,
( ~ spl0_264
| spl0_111
| ~ spl0_24
| spl0_309
| ~ spl0_192 ),
inference(rat,[],[s1717,s1566,s1236,s2686,s2352,s4309,s3834,s4248,s4847]) ).
cnf(s5112,plain,
( spl0_89
| spl0_309
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s1681,s4170,s4454,s1236,s2006,s2274,s4051,s1911,s4455,s5111,s5110,s395,s4,s3325,s4657,s5100,s344,s4801,s1696,s5109,s1533,s4294,s1255,s4416,s5108,s3947,s3652,s12,s5101,s5099,s5067,s19,s4847]) ).
cnf(s5113,plain,
( spl0_286
| spl0_309
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3013,s1964,s3866,s4478,s4336,s2470,s1706,s480,s1919,s2773,s1327,s1533,s4294,s5108,s4528,s6,s2120,s5101,s5099,s5067,s4847]) ).
cnf(s5114,plain,
( spl0_309
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4170,s3856,s1236,s3149,s2536,s2274,s395,s1911,s4,s480,s4455,s4047,s4225,s5111,s3817,s2174,s3949,s1548,s4478,s4336,s1731,s4801,s1696,s5113,s1635,s5112,s4528,s3652,s6,s12,s2120,s5101,s4416,s5067,s1533,s19,s5099,s5108,s4847]) ).
cnf(s5115,plain,
( ~ spl0_264
| ~ spl0_147
| spl0_354
| ~ spl0_17
| spl0_68
| spl0_286
| ~ spl0_24
| ~ spl0_275 ),
inference(rat,[],[s3841,s2274,s2343,s1236,s1717,s1566,s4454,s2686,s2256,s5067,s480,s4847]) ).
cnf(s5116,plain,
( spl0_286
| spl0_89
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2343,s3841,s4454,s2274,s2913,s1236,s4154,s4455,s5115,s3219,s4309,s2761,s4127,s480,s149,s5026,s2276,s2465,s3227,s2485,s4437,s1027,s2235,s5108,s3707,s3652,s12,s3947,s523,s2527,s5114,s5099,s5067,s2487,s19,s4847]) ).
cnf(s5117,plain,
( ~ spl0_111
| ~ spl0_61
| spl0_161
| spl0_431
| ~ spl0_286
| ~ spl0_82
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s2900,s1815,s4454,s2843,s4923,s2840,s4331,s4455,s3817,s1718,s4051,s4127,s1929,s1909,s2174,s2557,s5067,s1696,s4847]) ).
cnf(s5118,plain,
( ~ spl0_265
| ~ spl0_288
| spl0_117
| spl0_347
| ~ spl0_61 ),
inference(rat,[],[s1815,s2502,s3736,s3740]) ).
cnf(s5119,plain,
( ~ spl0_288
| spl0_117
| spl0_347
| ~ spl0_160
| spl0_171
| ~ spl0_61
| spl0_68
| ~ spl0_286
| ~ spl0_309
| ~ spl0_294
| ~ spl0_275 ),
inference(rat,[],[s3841,s2445,s1729,s2427,s2,s3814,s1660,s1967,s352,s4259,s3738,s3127,s3847,s4454,s5118,s1566,s480,s1964,s5067,s4847]) ).
cnf(s5120,plain,
( spl0_89
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4262,s4154,s4454,s4455,s1857,s2686,s4251,s5119,s2074,s2268,s2109,s4309,s5117,s338,s2465,s4657,s344,s2790,s3348,s4801,s5116,s360,s2852,s26,s2487,s4310,s1258,s1533,s5108,s2485,s3707,s3652,s12,s19,s3947,s523,s2527,s5114,s5099,s5067,s4847]) ).
cnf(s5121,plain,
( spl0_72
| spl0_286
| ~ spl0_147
| ~ spl0_89
| ~ spl0_47
| ~ spl0_24
| spl0_313
| ~ spl0_309
| ~ spl0_135
| ~ spl0_136
| ~ spl0_294
| ~ spl0_192 ),
inference(rat,[],[s1570,s3499,s1059,s974,s2274,s4174,s1236,s2761,s4154,s2306,s480,s4455,s3013,s307,s4967,s3866,s83,s4336,s2485,s1327,s1919,s1964,s2501,s4847]) ).
cnf(s5122,plain,
( spl0_286
| spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3841,s2274,s2010,s4454,s1236,s1330,s2913,s4154,s1220,s4174,s3219,s4455,s2761,s5058,s480,s5026,s5121,s3230,s414,s3949,s2501,s1533,s4294,s2485,s4437,s1027,s2235,s5108,s3707,s3652,s12,s19,s3947,s523,s2527,s5099,s1635,s4309,s2978,s5120,s5114,s5067,s4847]) ).
cnf(s5123,plain,
( ~ spl0_264
| spl0_68
| ~ spl0_61
| spl0_148
| ~ spl0_147
| ~ spl0_89
| ~ spl0_24
| ~ spl0_48
| ~ spl0_135
| ~ spl0_294
| ~ spl0_192 ),
inference(rat,[],[s1660,s1236,s2081,s2274,s2816,s1721,s1887,s1566,s3146,s2686,s4847]) ).
cnf(s5124,plain,
( spl0_13
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2274,s1236,s1911,s4154,s4455,s5123,s3501,s1964,s4478,s1731,s4801,s1696,s5122,s4309,s2978,s5120,s3707,s4528,s3652,s6,s12,s3947,s2120,s523,s2527,s2485,s5114,s4294,s5108,s5099,s19,s5067,s1533,s4847]) ).
cnf(s5125,plain,
( spl0_17
| spl0_468 ),
inference(rat,[],[s3834,s4847]) ).
cnf(s5133,plain,
( spl0_309
| spl0_323 ),
inference(rat,[],[s3825,s4847]) ).
cnf(s5134,plain,
( spl0_17
| spl0_49 ),
inference(rat,[],[s3818,s4847]) ).
cnf(s5135,plain,
( spl0_17
| spl0_34 ),
inference(rat,[],[s3817,s4847]) ).
cnf(s5138,plain,
( spl0_6
| spl0_58
| spl0_68 ),
inference(rat,[],[s4256,s4847]) ).
cnf(s5139,plain,
( spl0_6
| spl0_246 ),
inference(rat,[],[s3649,s4847]) ).
cnf(s5140,plain,
( spl0_6
| spl0_215 ),
inference(rat,[],[s3648,s4847]) ).
cnf(s5143,plain,
( spl0_306
| ~ spl0_263
| ~ spl0_286
| spl0_68
| spl0_303 ),
inference(rat,[],[s4258,s4847]) ).
cnf(s5144,plain,
( ~ spl0_376
| spl0_303
| ~ spl0_286
| ~ spl0_61
| spl0_68 ),
inference(rat,[],[s4259,s4847]) ).
cnf(s5148,plain,
( ~ spl0_263
| ~ spl0_266
| spl0_303
| ~ spl0_286
| spl0_68 ),
inference(rat,[],[s4262,s4847]) ).
cnf(s5161,plain,
( ~ spl0_119
| spl0_286
| spl0_309 ),
inference(rat,[],[s2773,s4847]) ).
cnf(s5163,plain,
( ~ spl0_120
| ~ spl0_265
| spl0_303 ),
inference(rat,[],[s2769,s4847]) ).
cnf(s5171,plain,
( ~ spl0_349
| ~ spl0_264
| spl0_309 ),
inference(rat,[],[s2352,s4847]) ).
cnf(s5172,plain,
( ~ spl0_306
| ~ spl0_266
| ~ spl0_119
| spl0_303 ),
inference(rat,[],[s2343,s4847]) ).
cnf(s5175,plain,
( ~ spl0_349
| spl0_267
| spl0_68 ),
inference(rat,[],[s2274,s4847]) ).
cnf(s5181,plain,
( spl0_17
| spl0_49 ),
inference(rat,[],[s1795,s4847]) ).
cnf(s5186,plain,
( spl0_6
| spl0_8 ),
inference(rat,[],[s1761,s4847]) ).
cnf(s5192,plain,
( spl0_68
| ~ spl0_120
| spl0_275 ),
inference(rat,[],[s1694,s4847]) ).
cnf(s5215,plain,
( ~ spl0_145
| spl0_72
| spl0_286
| spl0_89
| spl0_309
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s38,s4657,s1204,s2174,s2898,s4248,s5125,s1900,s3778,s4659,s1956,s921,s5124,s26,s1258]) ).
cnf(s5216,plain,
( spl0_145
| spl0_136
| spl0_286
| spl0_309
| ~ spl0_294 ),
inference(rat,[],[s4226,s395,s5061,s4416,s4294,s480,s5161,s4,s2932]) ).
cnf(s5217,plain,
( ~ spl0_145
| spl0_286
| spl0_89
| spl0_309
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4731,s5090,s1900,s513,s2706,s2078,s3778,s5215,s4659,s921,s5067,s5124,s26,s1258,s480,s5161]) ).
cnf(s5218,plain,
( spl0_286
| spl0_89
| spl0_309
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2167,s3866,s4657,s4336,s3947,s2470,s5101,s1919,s5216,s4294,s5217,s1706,s480,s5161,s1327,s5067,s1533,s5124]) ).
cnf(s5219,plain,
( ~ spl0_61
| ~ spl0_68
| spl0_343
| spl0_309
| ~ spl0_275 ),
inference(rat,[],[s4248,s5125,s2174,s3231,s5067]) ).
cnf(s5220,plain,
( ~ spl0_20
| ~ spl0_145
| spl0_309
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s4248,s1205,s5125,s533,s2847]) ).
cnf(s5221,plain,
( ~ spl0_145
| spl0_72
| spl0_89
| spl0_309
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s1884,s2644,s1236,s2981,s5175,s1911,s4455,s5104,s413,s2640,s1305,s1900,s506,s5125,s480,s4248,s4309,s5219,s2174,s4657,s3947,s5220,s1956,s921,s5067,s5124,s1696,s5218,s4336]) ).
cnf(s5222,plain,
( ~ spl0_181
| spl0_72
| ~ spl0_286
| spl0_89
| spl0_309
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s1718,s1929,s4657,s1548,s4248,s3947,s5135,s5125,s533,s506,s1250,s1305]) ).
cnf(s5223,plain,
( spl0_72
| spl0_89
| spl0_309
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3325,s3231,s4657,s2945,s3947,s5101,s2932,s4,s395,s5222,s4416,s5221,s5067,s5124,s5218]) ).
cnf(s5224,plain,
( spl0_89
| spl0_309
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s5163,s4454,s1884,s1150,s2644,s2168,s2910,s1911,s1418,s4455,s100,s5104,s307,s3778,s906,s921,s4416,s395,s1305,s3947,s1900,s506,s2847,s5125,s4248,s4309,s5023,s4,s2933,s4801,s1207,s5223,s1696,s5218,s5067,s5124,s1255]) ).
cnf(s5225,plain,
( ~ spl0_17
| ~ spl0_306
| spl0_308
| ~ spl0_344
| ~ spl0_94
| ~ spl0_68
| spl0_286
| spl0_72
| ~ spl0_145
| ~ spl0_89
| ~ spl0_120
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s2750,s5163,s3274,s4454,s2014,s2057,s3729,s4455,s3144,s4589,s2363,s100,s2689,s387,s2759,s307,s413,s2374,s3820,s3778,s1270,s2,s1305,s2458,s1900,s69,s2875,s921]) ).
cnf(s5226,plain,
( ~ spl0_111
| spl0_136
| spl0_286
| spl0_72
| ~ spl0_145
| spl0_309
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3042,s2569,s387,s1474,s3164,s5135,s149,s5225,s1697,s2557,s1255,s3947,s5220,s5124,s5067,s4530,s499,s5219,s5088,s4336,s1635,s5224,s4388]) ).
cnf(s5227,plain,
( spl0_111
| ~ spl0_94
| spl0_286
| ~ spl0_152
| spl0_309
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s4174,s2759,s3778,s1900,s5125,s4248,s4309]) ).
cnf(s5228,plain,
( ~ spl0_264
| ~ spl0_194
| spl0_164
| ~ spl0_285
| ~ spl0_111
| ~ spl0_33
| ~ spl0_276
| spl0_343
| ~ spl0_89
| ~ spl0_120 ),
inference(rat,[],[s3352,s4067,s711]) ).
cnf(s5229,plain,
( spl0_286
| spl0_72
| ~ spl0_145
| spl0_309
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4454,s3274,s2014,s3626,s2057,s2306,s4455,s5228,s3729,s3144,s100,s307,s409,s1270,s2458,s2114,s1790,s1900,s2875,s2363,s5135,s2759,s1548,s4331,s2280,s5226,s1697,s2557,s5227,s23,s134,s499,s4530,s5219,s5088,s4308,s1255,s1635,s5224,s921,s3947,s5220,s5124,s5067,s4336]) ).
cnf(s5230,plain,
( ~ spl0_264
| ~ spl0_111
| ~ spl0_33
| ~ spl0_344
| ~ spl0_198
| spl0_44
| ~ spl0_285
| spl0_343
| ~ spl0_120
| ~ spl0_13 ),
inference(rat,[],[s2749,s4067,s2829]) ).
cnf(s5231,plain,
( ~ spl0_263
| spl0_91
| ~ spl0_70
| spl0_44
| ~ spl0_369
| spl0_72
| ~ spl0_13 ),
inference(rat,[],[s2580,s2749,s4639,s1932,s1911,s4336]) ).
cnf(s5232,plain,
( spl0_136
| ~ spl0_86
| ~ spl0_198
| ~ spl0_70
| spl0_44
| spl0_148
| ~ spl0_369
| spl0_72
| ~ spl0_48
| ~ spl0_145
| spl0_343
| ~ spl0_120
| ~ spl0_13 ),
inference(rat,[],[s4453,s5230,s4609,s4455,s5231,s23,s261,s134,s310,s330,s1988,s4388,s4331]) ).
cnf(s5233,plain,
( ~ spl0_111
| ~ spl0_9
| ~ spl0_70
| spl0_44
| ~ spl0_17
| ~ spl0_285
| ~ spl0_286
| spl0_72
| ~ spl0_48
| spl0_343
| spl0_309
| ~ spl0_13
| ~ spl0_275 ),
inference(rat,[],[s3677,s3487,s2837,s2749,s1236,s4067,s5171,s4455,s5231,s23,s261,s134,s4480,s499,s4917,s1696]) ).
cnf(s5234,plain,
( spl0_72
| ~ spl0_145
| spl0_309
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2580,s4639,s3626,s1911,s2306,s4455,s5104,s4309,s5233,s5232,s5,s4476,s413,s5063,s100,s1305,s4963,s1900,s506,s5135,s1548,s4331,s1731,s1696,s5229,s4336,s1255,s1635,s5224,s921,s3947,s6,s2120,s5220,s5124,s5067]) ).
cnf(s5235,plain,
( ~ spl0_145
| spl0_309
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3737,s813,s4454,s3626,s2010,s2626,s1884,s2995,s1236,s2445,s5175,s2161,s2155,s3765,s1889,s5161,s406,s4455,s480,s2,s1305,s2458,s5104,s1790,s69,s506,s5125,s4248,s4309,s2086,s3778,s2898,s2078,s2183,s1265,s1207,s5234,s12,s3947,s5220,s921,s5067,s5124,s5224]) ).
cnf(s5236,plain,
( spl0_286
| spl0_309
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2759,s1614,s4530,s12,s5219,s5101,s2280,s480,s5216,s5161,s5067,s1533,s5124,s1635,s5224,s4294,s5235]) ).
cnf(s5237,plain,
( spl0_309
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4455,s5231,s4050,s261,s4309,s319,s5233,s4047,s2933,s4,s5,s395,s100,s5063,s1305,s3947,s4963,s1900,s506,s2847,s5135,s1548,s4331,s1731,s1696,s5236,s4416,s4294,s5235,s1635,s5224,s5067,s5124]) ).
cnf(s5238,plain,
( spl0_72
| spl0_161
| spl0_141
| ~ spl0_148
| spl0_286
| ~ spl0_145
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4586,s1116,s4455,s2256,s4454,s4920,s2001,s1780,s2381,s5088,s2531,s4336,s1956,s406,s1954,s1540,s2682,s4249,s2427,s2637,s1533,s1851,s3711,s3763,s100,s307,s906,s2482,s5237,s5135,s1900,s2640,s921,s5124]) ).
cnf(s5239,plain,
( ~ spl0_264
| spl0_422
| ~ spl0_306
| ~ spl0_72
| spl0_143
| spl0_161
| spl0_354
| spl0_286 ),
inference(rat,[],[s2006,s3546,s4454,s2290,s2256]) ).
cnf(s5240,plain,
( spl0_286
| ~ spl0_145
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3754,s3274,s944,s3626,s4454,s3635,s1884,s2010,s1116,s1330,s4455,s5239,s2428,s3742,s3765,s480,s2706,s2078,s5238,s915,s523,s3947,s2409,s2856,s2613,s310,s1220,s5135,s149,s1232,s1851,s2532,s1900,s3711,s1964,s2640,s3763,s3071,s1222,s4659,s1327,s5067,s4310,s26,s1258,s921,s1956,s406,s1954,s2427,s2637,s1533,s4309,s2898,s5124,s100,s307,s906,s2482,s5237]) ).
cnf(s5241,plain,
( ~ spl0_264
| ~ spl0_265
| ~ spl0_20
| spl0_68
| ~ spl0_49
| ~ spl0_344
| ~ spl0_147
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s2688,s4251,s2862,s5002,s2795,s2217,s2899,s3714,s2679]) ).
cnf(s5242,plain,
( ~ spl0_148
| spl0_72
| ~ spl0_369
| ~ spl0_286
| ~ spl0_147
| spl0_58
| spl0_195
| ~ spl0_22
| ~ spl0_198
| ~ spl0_308
| ~ spl0_145
| spl0_89
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s3626,s2981,s1884,s1911,s1116,s4455,s5241,s4454,s2690,s3738,s348,s3866,s3765,s480,s3947,s1850,s3164,s4731,s5135,s5134,s149,s1232,s4388,s1900,s3711,s2640,s3763,s2680,s921,s1956,s4336,s387,s3820]) ).
cnf(s5243,plain,
( ~ spl0_20
| ~ spl0_284
| ~ spl0_288
| ~ spl0_9
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s3487,s1879,s2795,s533]) ).
cnf(s5244,plain,
( ~ spl0_264
| spl0_72
| ~ spl0_145
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4427,s2749,s1717,s1900,s395,s149,s4,s2789,s3325,s2840,s3501,s4706,s1964,s4740,s3947,s5243,s1566,s2864,s4030,s4310,s26,s1258,s5,s402,s2682,s4249,s4331,s5242,s1696,s5240,s4309,s2898,s307,s906,s2482,s2427,s406,s413,s1954,s2637,s1533,s5237,s5124,s5067]) ).
cnf(s5245,plain,
( spl0_72
| ~ spl0_145
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s1884,s2644,s2432,s2981,s4639,s480,s1911,s4947,s4455,s5244,s4336,s921,s413,s406,s1954,s414,s2427,s2637,s1533,s100,s307,s906,s2482,s5237,s1696,s5240]) ).
cnf(s5246,plain,
( ~ spl0_266
| ~ spl0_306
| ~ spl0_9
| ~ spl0_145
| spl0_311
| ~ spl0_309 ),
inference(rat,[],[s3677,s3487,s5172,s3868,s1150,s480,s1780]) ).
cnf(s5247,plain,
( ~ spl0_264
| ~ spl0_265
| spl0_397
| ~ spl0_344
| spl0_68
| ~ spl0_147
| ~ spl0_38
| ~ spl0_309
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s5181,s5002,s1568,s4251,s4331,s2688,s2864,s2862,s1329,s1043,s2217,s1027,s2899,s3714,s3715,s2679]) ).
cnf(s5248,plain,
( ~ spl0_145
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s944,s3186,s3635,s3035,s1236,s3275,s5175,s1911,s4455,s5247,s4454,s5246,s1810,s4388,s1780,s2242,s2078,s5245,s1538,s1696,s5240,s5,s402,s2682,s4249,s414,s4309,s307,s2427,s406,s2898,s906,s2637,s1954,s1533,s5124,s2482,s5237,s26,s1258]) ).
cnf(s5249,plain,
( ~ spl0_68
| ~ spl0_58
| ~ spl0_434
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s406,s2618,s4226,s4196,s1533,s5237]) ).
cnf(s5250,plain,
( ~ spl0_111
| ~ spl0_148
| spl0_286
| ~ spl0_264
| spl0_72
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2174,s4657,s4923,s3947,s4454,s2471,s2256,s5078,s2761,s1251,s2569,s5135,s2247,s4127,s2557,s5237,s480,s5249,s3866,s1919,s4294,s1327,s4336,s2465,s3227,s5248,s2680,s5067]) ).
cnf(s5251,plain,
( spl0_111
| ~ spl0_58
| spl0_286
| spl0_72
| spl0_89
| ~ spl0_13 ),
inference(rat,[],[s915,s3947,s2167,s2857,s3071,s2766,s1222,s3120,s4309,s4310,s1327]) ).
cnf(s5252,plain,
( ~ spl0_20
| spl0_139
| ~ spl0_58
| spl0_286
| ~ spl0_309
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s2063,s2190,s916,s2527,s533,s523]) ).
cnf(s5253,plain,
( spl0_286
| ~ spl0_264
| spl0_72
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2807,s1631,s5002,s2081,s12,s3947,s5252,s2816,s1616,s3146,s4331,s5134,s5250,s4127,s5251,s5249,s3866,s2465,s1919,s3227,s1327,s5067,s5124,s5237,s4294,s5248,s4336]) ).
cnf(s5254,plain,
( ~ spl0_68
| ~ spl0_316
| ~ spl0_286
| spl0_72
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2847,s3947,s4731,s4657,s1850,s4196,s5067,s5237]) ).
cnf(s5255,plain,
( ~ spl0_20
| ~ spl0_148
| ~ spl0_286
| spl0_72
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4249,s916,s2682,s3985,s5048,s402,s4149,s5,s3048,s149,s2471,s4904,s533,s2847,s1533,s5124,s2482,s5237,s5248,s2680,s5067,s1718]) ).
cnf(s5256,plain,
( ~ spl0_17
| ~ spl0_61
| spl0_68
| ~ spl0_148
| ~ spl0_286
| ~ spl0_264
| spl0_145
| ~ spl0_309
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s3048,s5,s2485,s5082,s1667,s2708,s506,s1533,s4309,s1929,s1718]) ).
cnf(s5257,plain,
( spl0_136
| ~ spl0_34
| ~ spl0_36
| ~ spl0_61
| spl0_140
| ~ spl0_148
| ~ spl0_286
| ~ spl0_264
| ~ spl0_83
| spl0_145
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4249,s2167,s2682,s5048,s1032,s402,s4149,s2843,s5,s3853,s3915,s4905,s3048,s1533,s5124,s2482,s5237,s4294,s6,s1535,s2680,s5067]) ).
cnf(s5258,plain,
( ~ spl0_148
| ~ spl0_264
| spl0_72
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3937,s4907,s2167,s1027,s2527,s1228,s2235,s5257,s5135,s149,s5256,s1929,s4657,s3767,s3947,s5255,s480,s5254,s1718,s2680,s5067,s5124,s5237,s5248,s4336,s5253]) ).
cnf(s5259,plain,
( ~ spl0_20
| ~ spl0_285
| ~ spl0_264
| spl0_145
| ~ spl0_309
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s1879,s2807,s734,s2203,s5,s2849,s3048,s2527,s533,s523,s4294]) ).
cnf(s5261,plain,
( ~ spl0_17
| ~ spl0_48
| spl0_148
| ~ spl0_264
| ~ spl0_135
| ~ spl0_309
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s4050,s4309,s1900,s4127]) ).
cnf(s5262,plain,
( ~ spl0_264
| spl0_72
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2807,s1631,s5002,s5134,s5261,s3501,s1964,s2081,s4657,s12,s3947,s5259,s2816,s3146,s4331,s5258,s5253,s5067,s5124,s5237,s4294,s5248]) ).
cnf(s5263,plain,
( spl0_286
| ~ spl0_148
| spl0_72
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2180,s2233,s813,s2891,s2018,s2750,s1085,s2485,s4454,s5078,s1967,s1251,s3548,s2569,s5134,s1928,s2247,s4127,s2557,s5251,s5249,s3866,s2465,s1919,s3227,s1327,s5067,s5124,s2482,s5237,s4294,s5248,s4336,s974,s4455,s5262]) ).
cnf(s5264,plain,
( ~ spl0_17
| spl0_183
| ~ spl0_148
| spl0_145
| ~ spl0_309
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s5,s3048,s433,s2485,s1305,s2708,s506]) ).
cnf(s5265,plain,
( spl0_136
| ~ spl0_34
| ~ spl0_36
| spl0_313
| ~ spl0_48
| spl0_68
| ~ spl0_369
| ~ spl0_148
| ~ spl0_12
| spl0_145
| spl0_311
| ~ spl0_309
| ~ spl0_13
| ~ spl0_294
| ~ spl0_192 ),
inference(rat,[],[s1232,s4906,s3164,s4149,s387,s5,s3042,s3048]) ).
cnf(s5266,plain,
( ~ spl0_148
| spl0_72
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2168,s100,s2750,s2167,s2485,s1228,s5265,s5135,s149,s5264,s926,s944,s3635,s1236,s4657,s2910,s5175,s3947,s1911,s1418,s5254,s5255,s1696,s5263,s2680,s5067,s1533,s5124,s5248,s6,s2121,s4455,s5262,s2482,s5237]) ).
cnf(s5267,plain,
( spl0_136
| ~ spl0_265
| ~ spl0_49
| ~ spl0_48
| spl0_68
| spl0_364
| spl0_145
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s5002,s1201,s3746,s5,s1375,s3048,s4294]) ).
cnf(s5268,plain,
( spl0_286
| spl0_72
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3910,s1059,s2233,s3275,s2180,s3036,s2891,s2018,s1027,s1085,s2306,s2235,s5267,s4454,s4923,s2174,s3656,s4657,s5135,s5134,s149,s3947,s4127,s2557,s5249,s307,s5252,s4309,s3866,s2465,s1616,s2107,s1607,s1919,s3227,s1327,s5067,s5124,s2482,s5237,s4310,s26,s1258,s4294,s5248,s4336,s4455,s5262,s4331,s5266]) ).
cnf(s5269,plain,
( ~ spl0_17
| spl0_267
| ~ spl0_263
| spl0_72
| spl0_89
| ~ spl0_309
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s134,s3994,s23,s2485,s1467,s1566,s2750,s2749,s1660,s1236,s2981,s5175,s480,s3231,s413,s4657,s1305,s3947,s1900,s506,s2847,s1533,s4336]) ).
cnf(s5270,plain,
( spl0_72
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2006,s4051,s2409,s2427,s1967,s4454,s3275,s3036,s944,s3635,s1236,s5175,s4951,s3656,s2613,s149,s5269,s1911,s1696,s5268,s5266,s4455,s5262,s5067,s5124,s5237,s4310]) ).
cnf(s5271,plain,
( ~ spl0_17
| ~ spl0_148
| spl0_145
| ~ spl0_309
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s926,s1667,s5264,s506]) ).
cnf(s5272,plain,
( ~ spl0_68
| spl0_17
| spl0_286
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2167,s5061,s4731,s2470,s4196,s1706,s5124,s5237,s4294,s5248,s5270]) ).
cnf(s5273,plain,
( spl0_136
| ~ spl0_148
| spl0_286
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2409,s4910,s2647,s4869,s3985,s4455,s1251,s5055,s2086,s5078,s5061,s5067,s4294,s5270,s2246,s2613,s149,s5272,s5271,s5248,s5237,s5124]) ).
cnf(s5275,plain,
( ~ spl0_278
| ~ spl0_181
| spl0_68
| ~ spl0_49
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s3548,s5002,s4170,s1533]) ).
cnf(s5276,plain,
( ~ spl0_264
| spl0_272
| spl0_278
| ~ spl0_61
| spl0_354
| ~ spl0_143
| ~ spl0_119
| ~ spl0_18
| spl0_286
| spl0_145
| ~ spl0_92
| ~ spl0_275 ),
inference(rat,[],[s3142,s2444,s1909,s1032,s3841,s3487,s708,s5,s734,s4454,s2256]) ).
cnf(s5277,plain,
( ~ spl0_148
| spl0_286
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s1682,s1330,s2010,s1220,s3841,s4309,s2294,s2557,s3814,s1967,s1117,s3847,s4454,s1201,s5,s3487,s1085,s4455,s5276,s2081,s5275,s406,s2032,s2669,s401,s2,s4731,s3947,s1303,s2160,s1430,s97,s513,s2470,s2768,s2498,s2527,s5273,s480,s5272,s5135,s5134,s10,s5271,s2246,s5067,s5124,s2482,s5237,s117,s4294,s5248,s5270]) ).
cnf(s5278,plain,
( spl0_136
| ~ spl0_111
| spl0_148
| spl0_286
| spl0_145
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4454,s5267,s1471,s4923,s3947,s2174,s5252,s2063,s5061,s2190,s5124,s1616,s4331,s4294,s902,s2557,s5134,s5135,s4127,s5237,s5067]) ).
cnf(s5279,plain,
( spl0_286
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3487,s1085,s5,s4455,s1201,s2257,s5275,s4454,s406,s4923,s2032,s2174,s3230,s2669,s401,s4731,s414,s926,s1430,s513,s523,s1027,s2527,s2235,s5278,s5135,s5134,s902,s4127,s2557,s4309,s2107,s4331,s5277,s5067,s5124,s2482,s5237,s26,s1258,s4294,s5248,s5270]) ).
cnf(s5280,plain,
( ~ spl0_68
| spl0_17
| ~ spl0_316
| ~ spl0_286
| spl0_89
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s4731,s1850,s4196]) ).
cnf(s5281,plain,
( ~ spl0_20
| ~ spl0_148
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s915,s2167,s4249,s3985,s5048,s2682,s4149,s402,s511,s523,s5067,s1533,s2482,s5,s3048,s4801,s5270,s1718,s5279,s149,s5271,s5248,s5237,s5124]) ).
cnf(s5282,plain,
( ~ spl0_264
| ~ spl0_33
| spl0_68
| ~ spl0_49
| spl0_136
| spl0_145
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s1467,s1329,s5002,s1043,s734,s3915,s4294,s6,s1534,s5,s3048]) ).
cnf(s5283,plain,
( ~ spl0_148
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4869,s4910,s4455,s5282,s23,s134,s1515,s2409,s1667,s3985,s5048,s5265,s3947,s5281,s5280,s2613,s5135,s5134,s149,s1718,s5271,s2680,s5067,s1533,s5124,s2482,s5237,s5248,s1696,s6,s1534,s4801,s5279,s5270]) ).
cnf(s5284,plain,
( ~ spl0_17
| spl0_148
| spl0_136
| ~ spl0_369
| spl0_145
| spl0_89
| ~ spl0_309
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s1236,s3635,s5175,s3231,s944,s1911,s1466,s926,s4455,s23,s433,s5261,s134,s1305,s3947,s3994,s506,s2847,s4294,s5,s3048]) ).
cnf(s5285,plain,
( ~ spl0_68
| spl0_17
| ~ spl0_286
| spl0_89
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s1964,s4731,s3501,s4196,s5067]) ).
cnf(s5286,plain,
( ~ spl0_20
| ~ spl0_61
| ~ spl0_10
| ~ spl0_72
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s2682,s4249,s402,s3526,s916,s511,s915,s533,s523]) ).
cnf(s5287,plain,
( ~ spl0_264
| spl0_68
| ~ spl0_49
| ~ spl0_285
| spl0_136
| spl0_145
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s2807,s5002,s2203,s734,s2849,s4294,s5,s3048]) ).
cnf(s5288,plain,
( ~ spl0_61
| spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2445,s2427,s3814,s1967,s5148,s3847,s4454,s5267,s1471,s3947,s5286,s2,s313,s1964,s5,s3048,s480,s1911,s4455,s5287,s5285,s5134,s5284,s5237,s5067,s4331,s5283,s4801,s5270,s5248,s5124,s1696,s5279]) ).
cnf(s5289,plain,
( spl0_89
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s1566,s1381,s3635,s4530,s1236,s5288,s5175,s1911,s1418,s4455,s5287,s5285,s5134,s5284,s4331,s5283,s4801,s1696,s5279,s5270,s5248,s4310,s5067,s5124,s5237]) ).
cnf(s5290,plain,
( ~ spl0_148
| ~ spl0_145
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s1153,s1116,s4455,s2256,s4454,s4920,s1027,s1780,s2381,s5088,s5135,s2531,s4336,s1900,s1265,s1851,s1696,s2640,s2280,s1731,s5124,s1635,s5289,s921,s406,s1954,s100,s1540,s2682,s4249,s307,s906,s2482,s2427,s2637,s1533,s5237]) ).
cnf(s5291,plain,
( spl0_286
| ~ spl0_145
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s1706,s2470,s480,s2531,s2160,s2248,s2527,s1851,s4174,s4309,s2978,s5289,s5067,s406,s1954,s100,s1540,s2682,s4249,s307,s906,s2482,s2427,s2637,s1533,s5237,s5290]) ).
cnf(s5292,plain,
( ~ spl0_68
| ~ spl0_145
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s972,s1317,s2527,s3692,s1810,s3715,s2290,s4455,s2919,s4454,s4947,s2072,s4920,s2078,s3501,s1780,s406,s1954,s1540,s2682,s4249,s307,s906,s2482,s2427,s2637,s1533,s5237,s5291]) ).
cnf(s5293,plain,
( ~ spl0_17
| spl0_72
| spl0_51
| ~ spl0_344
| ~ spl0_369
| spl0_148
| ~ spl0_70
| ~ spl0_147
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s5231,s4455,s261,s4609,s3947,s1900,s2847]) ).
cnf(s5294,plain,
( ~ spl0_264
| ~ spl0_236
| ~ spl0_344
| spl0_148
| ~ spl0_147 ),
inference(rat,[],[s4796,s3806]) ).
cnf(s5295,plain,
( spl0_72
| spl0_25
| ~ spl0_344
| spl0_68
| ~ spl0_369
| spl0_148
| ~ spl0_70
| spl0_195
| ~ spl0_198
| ~ spl0_152
| ~ spl0_147
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s1884,s2644,s1236,s2981,s5175,s1911,s4455,s5294,s533,s3947,s3164,s149,s5293,s387,s3820,s4336,s480,s310]) ).
cnf(s5296,plain,
( spl0_136
| ~ spl0_145
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s1027,s1153,s3186,s1236,s3035,s5175,s3275,s1911,s4454,s4455,s5246,s4609,s2078,s1265,s5295,s1232,s4388,s5124,s4309,s2978,s5289,s5067,s921,s413,s406,s414,s100,s5,s402,s2682,s4249,s307,s906,s2482,s2427,s2637,s1533,s1954,s5237,s5290,s1696,s5291,s5292]) ).
cnf(s5297,plain,
( ~ spl0_264
| spl0_44
| ~ spl0_17
| ~ spl0_186
| spl0_148
| ~ spl0_147
| ~ spl0_13
| ~ spl0_192 ),
inference(rat,[],[s4427,s1717,s2749,s1566,s2864,s4030,s4331,s26,s1650]) ).
cnf(s5298,plain,
( ~ spl0_263
| ~ spl0_136
| ~ spl0_9
| ~ spl0_152
| spl0_311 ),
inference(rat,[],[s3487,s3626,s1085,s2306]) ).
cnf(s5299,plain,
( ~ spl0_145
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3010,s4427,s2981,s1043,s1329,s2290,s2864,s4030,s4455,s5298,s395,s4,s2919,s3325,s4336,s1027,s4801,s2235,s5296,s480,s5292,s5291,s26,s1650,s4331,s5290,s5,s402,s1540,s2682,s4249,s307,s2427,s406,s413,s906,s2637,s1954,s921,s1533,s5124,s2482,s4309,s2978,s5289,s5237,s5067]) ).
cnf(s5300,plain,
( ~ spl0_148
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s5061,s2086,s1696,s2280,s2178,s1731,s5124,s5289,s4294,s5299]) ).
cnf(s5301,plain,
( spl0_286
| spl0_136
| ~ spl0_285
| spl0_145
| ~ spl0_89
| ~ spl0_309
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s1305,s1515,s406,s3164,s2618,s387,s149,s4872,s2465,s3820,s1900,s2167,s3949,s3947,s2183,s1270,s2063,s5252,s2086,s307,s2190,s1616,s5061,s3227,s4294]) ).
cnf(s5302,plain,
( ~ spl0_17
| ~ spl0_10
| ~ spl0_89
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s307,s1270,s5063,s1900,s506]) ).
cnf(s5303,plain,
( ~ spl0_68
| spl0_72
| spl0_136
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s523,s511,s3947,s433,s3164,s926,s387,s1232,s2072,s3820,s902,s3501,s4196,s5301,s4331,s5300,s5237,s5067,s149,s5302,s5,s3048,s5299,s5289,s5124]) ).
cnf(s5304,plain,
( spl0_72
| spl0_136
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3149,s3856,s3516,s5275,s1305,s433,s926,s1027,s1153,s1236,s2536,s5175,s1911,s4455,s5287,s480,s5303,s4336,s1696,s5301,s4331,s5300,s5237,s5067,s5134,s5302,s5,s3048,s5299,s5289,s5124]) ).
cnf(s5305,plain,
( ~ spl0_68
| spl0_136
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2017,s2012,s3102,s2408,s348,s1214,s4051,s1321,s414,s2706,s1780,s4196,s100,s2086,s2183,s1911,s4455,s4609,s1265,s5304,s4309,s2978,s4388,s1696,s5301,s4331,s5300,s5299,s5289,s5237,s5124,s5067]) ).
cnf(s5306,plain,
( spl0_136
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s3878,s5275,s4454,s402,s5267,s2682,s1471,s4249,s3947,s3516,s3507,s5305,s5063,s4455,s399,s2086,s4609,s2183,s1265,s5304,s5134,s5302,s5301,s5,s3048,s4388,s5124,s4309,s2978,s5289,s5237,s5067,s5299,s4331,s5300]) ).
cnf(s5307,plain,
( spl0_286
| spl0_72
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s5249,s480,s2161,s2761,s2465,s1919,s2110,s4174,s3227,s4309,s2978,s5289,s4294,s5299,s5300,s1027,s2235,s3947,s523,s2527,s5306,s5237,s5067]) ).
cnf(s5308,plain,
( ~ spl0_68
| spl0_72
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s4455,s5231,s5261,s1900,s149,s261,s3164,s4480,s499,s387,s100,s1964,s3820,s3348,s3501,s4196,s5124,s4294,s5299,s5300,s2485,s3947,s523,s2527,s5306,s5237,s5067,s1696,s5307]) ).
cnf(s5309,plain,
( ~ spl0_17
| ~ spl0_369
| ~ spl0_136
| spl0_148
| ~ spl0_135
| ~ spl0_89
| ~ spl0_309
| ~ spl0_13
| ~ spl0_6
| ~ spl0_192 ),
inference(rat,[],[s2440,s4024,s1911,s1085,s307,s406,s4455,s1270,s1305,s2458,s5261,s1900,s506,s2482,s3947,s523,s2527]) ).
cnf(s5310,plain,
( ~ spl0_264
| ~ spl0_49
| spl0_68
| ~ spl0_48
| spl0_148
| ~ spl0_135
| ~ spl0_147
| ~ spl0_13
| ~ spl0_6 ),
inference(rat,[],[s2081,s5002,s2816,s4030,s3146]) ).
cnf(s5311,plain,
( spl0_72
| ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s1201,s5,s4454,s3487,s2006,s2750,s4051,s1236,s2011,s5175,s2590,s1911,s1085,s4455,s5310,s5134,s5309,s5308,s1696,s5307,s4336,s5124,s2482,s4309,s2978,s5289,s4294,s5299,s5300,s2485,s3947,s523,s2527,s5306,s5237,s5067]) ).
cnf(s5312,plain,
( ~ spl0_6
| ~ spl0_275 ),
inference(rat,[],[s2761,s480,s4174,s1706,s4801,s2470,s5311,s1027,s2235,s5306,s5300,s4309,s2978,s5289,s5237,s5067]) ).
cnf(s5313,plain,
( ~ spl0_264
| ~ spl0_32
| spl0_111
| ~ spl0_17
| spl0_309
| ~ spl0_192 ),
inference(rat,[],[s1566,s1717,s4251,s1236,s705,s5171]) ).
cnf(s5314,plain,
( spl0_72
| ~ spl0_148
| spl0_13
| spl0_309
| ~ spl0_275 ),
inference(rat,[],[s3265,s2834,s3626,s1911,s1418,s2306,s4455,s5313,s1696,s2633,s23,s1466,s4530,s2189,s4662,s3231,s1790,s4047,s4305,s4336,s5067,s5186,s921,s989,s3823,s5140,s2498,s4353,s5139,s5312]) ).
cnf(s5315,plain,
( ~ spl0_148
| spl0_13
| spl0_309
| ~ spl0_275 ),
inference(rat,[],[s3935,s2189,s3071,s3231,s1790,s1812,s480,s307,s5161,s1327,s3947,s906,s4801,s4352,s1207,s5314,s2246,s5067,s4353,s5139,s989,s3823,s5140,s5312]) ).
cnf(s5316,plain,
( ~ spl0_148
| ~ spl0_13
| ~ spl0_136
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s2465,s3227,s2618,s5285,s4196,s406,s4305,s511,s2768,s523,s4253,s3711,s2708,s2280,s3763,s2246,s5067,s5139,s5312,s2485]) ).
cnf(s5317,plain,
( spl0_89
| spl0_72
| spl0_148
| ~ spl0_13
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s938,s533,s1717,s3947,s1566,s4657,s4030,s1964,s4455,s5285,s3501,s4951,s2107,s5140,s4331,s26,s1650,s2907,s63,s4309,s2557,s902,s4305,s5139,s5312,s5067]) ).
cnf(s5318,plain,
( spl0_58
| ~ spl0_89
| spl0_195
| spl0_72
| ~ spl0_13
| ~ spl0_275 ),
inference(rat,[],[s3646,s511,s2,s523,s204,s2120,s6,s155,s4249,s4501,s5067,s5312]) ).
cnf(s5319,plain,
( spl0_72
| spl0_148
| ~ spl0_13
| ~ spl0_318
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s533,s3947,s916,s2462,s196,s2694,s2759,s3120,s4174,s3348,s5318,s5317,s4309,s2557,s902,s4196,s4305,s5067,s63,s5139,s5312]) ).
cnf(s5320,plain,
( ~ spl0_89
| spl0_286
| ~ spl0_72
| spl0_148
| ~ spl0_13
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s3498,s4253,s196,s1790,s2759,s5138,s4174,s2086,s4309,s1265,s2183,s2978,s5067,s5139,s5312]) ).
cnf(s5321,plain,
( ~ spl0_13
| ~ spl0_136
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s149,s3656,s4127,s2154,s4309,s4659,s2107,s4310,s5320,s4801,s5319,s26,s1650,s4331,s5316,s5067,s3,s5312,s2485]) ).
cnf(s5322,plain,
( spl0_72
| spl0_148
| ~ spl0_136
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s162,s2,s6,s3646,s155,s1955,s3863,s4249,s4501,s4743,s100,s3348,s3501,s4174,s2759,s4530,s409,s3231,s902,s1780,s4196,s4305,s63,s5139,s2485,s4309,s4127,s3823,s5321,s5140,s5312,s5067]) ).
cnf(s5323,plain,
( spl0_148
| ~ spl0_136
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s3707,s4154,s3652,s4397,s12,s3947,s4455,s3498,s4975,s196,s1265,s2759,s2107,s4174,s4801,s1207,s5322,s26,s1650,s4331,s5139,s2485,s19,s4309,s4127,s3823,s5321,s5140,s5312,s5067]) ).
cnf(s5324,plain,
( spl0_72
| ~ spl0_136
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s4454,s2690,s4089,s3867,s1955,s1717,s413,s1566,s3187,s4251,s3309,s705,s360,s4455,s3348,s4951,s2633,s3947,s23,s4657,s1466,s4530,s2189,s3231,s1790,s902,s4305,s2907,s63,s5139,s5186,s2485,s19,s4309,s4127,s5067,s2322,s1027,s1568,s5323,s3823,s5321,s5140,s5312]) ).
cnf(s5325,plain,
( ~ spl0_136
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s4154,s4397,s4455,s5115,s2761,s480,s3231,s2501,s3707,s3652,s12,s3947,s2768,s4801,s1207,s5324,s1027,s1568,s2246,s5323,s4309,s4127,s3823,s19,s5321,s2485,s5067,s5139,s5140,s5312]) ).
cnf(s5326,plain,
( spl0_72
| spl0_148
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s4253,s533,s4013,s3231,s916,s2557,s4475,s4501,s902,s4196,s4305,s5067,s5139,s155,s6,s1534,s156,s31,s1547,s5325,s5312]) ).
cnf(s5327,plain,
( ~ spl0_68
| ~ spl0_286
| ~ spl0_72
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s4361,s2072,s2078,s3501,s1780,s155,s6,s1534,s5325,s5312]) ).
cnf(s5329,plain,
( ~ spl0_263
| ~ spl0_322
| spl0_68
| ~ spl0_369 ),
inference(rat,[],[s1236,s5175,s1153,s1911]) ).
cnf(s5330,plain,
( ~ spl0_286
| ~ spl0_13
| ~ spl0_72
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s2408,s2407,s2042,s1216,s1329,s2762,s1043,s1064,s734,s3915,s4455,s5329,s1027,s5,s4310,s4361,s3048,s4294,s2183,s906,s2086,s307,s5138,s5327,s1696,s155,s6,s1534,s5325,s5312,s1207]) ).
cnf(s5331,plain,
( ~ spl0_13
| spl0_148
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s149,s3656,s4127,s2154,s4309,s4659,s2107,s4310,s5320,s5330,s5067,s3,s5312,s4331,s26,s1650,s5326]) ).
cnf(s5332,plain,
( spl0_148
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s4127,s4013,s3823,s5331,s5067,s5140,s5312,s5325]) ).
cnf(s5333,plain,
( spl0_68
| ~ spl0_72
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s1120,s3507,s4253,s5135,s5134,s1568,s1027,s4361,s906,s307,s5138,s1901,s5139,s5186,s155,s6,s1534,s5325,s5312,s5332,s1207]) ).
cnf(s5334,plain,
( ~ spl0_13
| ~ spl0_72
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s916,s533,s4731,s2189,s4689,s2086,s2532,s5330,s63,s4196,s5037,s310,s1232,s902,s5067,s1667,s1568,s1027,s4361,s2078,s1780,s5333,s155,s6,s1534,s5312,s5325,s5332]) ).
cnf(s5335,plain,
( ~ spl0_72
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s3823,s5334,s1568,s1027,s4361,s2078,s1780,s5333,s5140,s155,s6,s1534,s5325,s5312,s5332]) ).
cnf(s5336,plain,
( ~ spl0_13
| ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s1717,s1566,s938,s4251,s533,s705,s3947,s23,s4657,s1466,s4455,s1850,s4951,s5285,s5251,s2189,s2086,s5140,s2680,s5332,s2907,s63,s4501,s4196,s155,s6,s1534,s5325,s2557,s902,s4305,s5335,s5139,s5312,s5067]) ).
cnf(s5337,plain,
( ~ spl0_309
| ~ spl0_275 ),
inference(rat,[],[s2113,s4454,s3751,s3715,s2336,s4455,s4717,s4557,s1810,s3036,s1251,s1862,s406,s1027,s4530,s1955,s1568,s3231,s5027,s3823,s9,s19,s5336,s2557,s414,s902,s4196,s3496,s4305,s4336,s5335,s5332,s5325,s5067,s63,s5139,s5140,s5312]) ).
cnf(s5338,plain,
( ~ spl0_72
| spl0_148
| ~ spl0_275 ),
inference(rat,[],[s2166,s1265,s3947,s2774,s2161,s3187,s2556,s413,s19,s2848,s2898,s1225,s2114,s4309,s2363,s4174,s2759,s4530,s5090,s480,s307,s2110,s5161,s906,s2078,s4801,s1207,s5067,s1255,s4353,s5139,s921,s989,s5337,s5140,s5312,s4331]) ).
cnf(s5339,plain,
( ~ spl0_13
| spl0_148
| ~ spl0_275 ),
inference(rat,[],[s2975,s3731,s100,s1911,s3626,s2306,s4650,s1696,s4455,s4174,s5104,s4309,s413,s1205,s511,s533,s4353,s921,s989,s5140,s2759,s4530,s523,s3947,s3712,s499,s3231,s4305,s5139,s5135,s5338,s211,s24,s1548,s5337,s63,s5312,s5067]) ).
cnf(s5340,plain,
( ~ spl0_263
| ~ spl0_286
| spl0_72
| ~ spl0_275 ),
inference(rat,[],[s4639,s2580,s1911,s3626,s2306,s4336,s1696,s100,s4650,s4353,s5139,s921,s989,s5337,s5140,s5312]) ).
cnf(s5341,plain,
( spl0_89
| ~ spl0_286
| spl0_148
| ~ spl0_275 ),
inference(rat,[],[s1729,s1150,s4920,s4454,s2900,s1035,s4662,s1204,s2290,s5313,s2845,s23,s2896,s2465,s1466,s360,s2487,s4331,s4047,s5186,s3947,s3712,s499,s3231,s4305,s5135,s5067,s211,s24,s1548,s63,s19,s5339,s4650,s4353,s5139,s921,s989,s5337,s5140,s5312,s4455,s5340,s5338]) ).
cnf(s5342,plain,
( ~ spl0_286
| spl0_148
| ~ spl0_275 ),
inference(rat,[],[s2443,s2995,s2890,s2900,s4454,s1371,s1697,s2875,s4309,s5341,s5104,s2362,s4455,s5340,s3866,s4650,s1255,s4353,s921,s989,s5140,s4331,s4336,s2556,s19,s5339,s3231,s4305,s5338,s5139,s5312,s5135,s1548,s5337,s5067]) ).
cnf(s5343,plain,
( spl0_148
| ~ spl0_275 ),
inference(rat,[],[s906,s1204,s307,s4309,s3866,s4174,s1327,s5342,s2556,s19,s5339,s3947,s3712,s2759,s499,s4530,s3231,s4305,s4336,s5338,s211,s5135,s24,s1548,s5067,s63,s5139,s989,s5337,s5140,s5312]) ).
cnf(s5344,plain,
~ spl0_275,
inference(rat,[],[s3763,s5315,s5343,s3711,s989,s4353,s5337,s5140,s5139,s5312]) ).
cnf(s5345,plain,
spl0_281,
inference(rat,[],[s4374,s5344]) ).
cnf(s5346,plain,
( spl0_61
| spl0_13
| ~ spl0_286
| ~ spl0_136
| spl0_72
| spl0_148
| spl0_309 ),
inference(rat,[],[s4650,s921,s100,s989,s2937,s5140,s414,s1900,s3260,s4662,s4310,s1862,s3074,s4478,s4530,s26,s1650,s1790,s5135,s1548,s5192,s1255,s1374,s1472,s3062,s19,s5344]) ).
cnf(s5347,plain,
( spl0_13
| ~ spl0_286
| ~ spl0_136
| spl0_72
| spl0_148
| spl0_309 ),
inference(rat,[],[s3797,s436,s1929,s3231,s5346,s19,s1790,s5135,s1548,s5192,s1255,s1472,s3062,s5344]) ).
cnf(s5348,plain,
( ~ spl0_192
| ~ spl0_13
| ~ spl0_286
| spl0_72
| spl0_148
| spl0_309 ),
inference(rat,[],[s3646,s2,s4249,s1305,s129,s2847,s3260,s4963,s2875,s3947,s4310,s314,s3074,s4480,s4530,s3231,s3056,s26,s1650,s1790,s5135,s1548,s5192,s1255,s5344]) ).
cnf(s5349,plain,
( ~ spl0_286
| ~ spl0_136
| spl0_72
| spl0_148
| spl0_309 ),
inference(rat,[],[s4964,s4963,s2875,s4310,s15,s3074,s499,s4530,s1929,s4248,s3833,s412,s5348,s5347,s26,s1650,s24,s1790,s5135,s1548,s5192,s1255,s5344]) ).
cnf(s5350,plain,
( spl0_286
| spl0_148
| spl0_309 ),
inference(rat,[],[s3260,s416,s4310,s3221,s4658,s2062,s1790,s5135,s1548,s5192,s1255,s5344]) ).
cnf(s5351,plain,
( spl0_13
| spl0_143
| spl0_136
| ~ spl0_286
| spl0_148 ),
inference(rat,[],[s3515,s3050,s921,s1687,s4234,s19,s5344]) ).
cnf(s5352,plain,
( spl0_72
| spl0_148
| spl0_309 ),
inference(rat,[],[s38,s314,s533,s4480,s1205,s1929,s4416,s4248,s395,s3833,s1305,s412,s506,s5348,s5351,s4,s1706,s2932,s4365,s5349,s5133,s3056,s24,s1790,s5135,s1548,s5192,s1255,s5350,s5344]) ).
cnf(s5353,plain,
( spl0_278
| ~ spl0_215
| ~ spl0_47
| ~ spl0_192
| ~ spl0_17 ),
inference(rat,[],[s1717,s1570,s1567,s963]) ).
cnf(s5354,plain,
( ~ spl0_263
| ~ spl0_278
| ~ spl0_152
| ~ spl0_136 ),
inference(rat,[],[s3626,s2306]) ).
cnf(s5355,plain,
( ~ spl0_264
| ~ spl0_64
| ~ spl0_94
| ~ spl0_23
| spl0_164
| spl0_148 ),
inference(rat,[],[s2066,s3352,s2816,s3864,s3146,s3694,s4331,s4310,s3074,s26,s1650,s5345,s5344]) ).
cnf(s5356,plain,
( spl0_278
| ~ spl0_47
| ~ spl0_30
| ~ spl0_111
| ~ spl0_192
| ~ spl0_17
| ~ spl0_120 ),
inference(rat,[],[s5163,s1717,s4454,s1570,s1567,s1519]) ).
cnf(s5357,plain,
( ~ spl0_152
| ~ spl0_278
| ~ spl0_94
| ~ spl0_23
| ~ spl0_136
| ~ spl0_286
| spl0_164
| spl0_148 ),
inference(rat,[],[s5355,s4455,s75,s5354,s4650]) ).
cnf(s5358,plain,
( ~ spl0_192
| spl0_13
| ~ spl0_136
| spl0_148
| spl0_309 ),
inference(rat,[],[s1157,s4455,s4,s4454,s5171,s1950,s5163,s1236,s4226,s4170,s406,s1533,s3186,s5140,s1514,s989,s4294,s921,s5357,s5356,s3707,s3652,s2852,s12,s3947,s414,s1707,s3260,s4310,s4309,s3074,s3345,s3189,s4530,s3231,s26,s1650,s211,s24,s1790,s5135,s1548,s5192,s1255,s5352,s1228,s5350,s19,s9,s5344]) ).
cnf(s5359,plain,
( spl0_13
| ~ spl0_136
| spl0_148
| spl0_309 ),
inference(rat,[],[s2706,s2223,s157,s6,s1695,s3667,s2120,s3055,s2768,s1929,s3674,s4248,s3833,s3240,s412,s436,s5358,s24,s1790,s5135,s1548,s5192,s1255,s5350,s5352,s5344]) ).
cnf(s5360,plain,
( ~ spl0_61
| spl0_148
| spl0_309 ),
inference(rat,[],[s3833,s4248,s412,s1929,s3231,s24,s1790,s5135,s1548,s5192,s1255,s5350,s5344]) ).
cnf(s5361,plain,
( spl0_148
| spl0_309 ),
inference(rat,[],[s1706,s5351,s4365,s5359,s2183,s4310,s3074,s4530,s5360,s5352,s5350,s1790,s5135,s26,s1548,s1650,s5133,s5192,s1255,s5344]) ).
cnf(s5362,plain,
( spl0_6
| ~ spl0_89
| ~ spl0_152
| ~ spl0_111
| spl0_13
| ~ spl0_192
| ~ spl0_17
| ~ spl0_136
| spl0_309 ),
inference(rat,[],[s1583,s2479,s2744,s1236,s2373,s5171,s4455,s1601,s1659,s5354,s3712,s5353,s3659,s5140,s3,s63,s1251,s3707,s3652,s12,s19,s3947,s2166,s2498,s2,s203,s2875,s406,s3186,s414,s3260,s1790,s3345,s9,s3231,s5192,s1255,s2569,s2247,s5361,s5344]) ).
cnf(s5363,plain,
( ~ spl0_263
| ~ spl0_152
| ~ spl0_47
| ~ spl0_374
| ~ spl0_136 ),
inference(rat,[],[s1570,s2304,s5354]) ).
cnf(s5364,plain,
( ~ spl0_89
| ~ spl0_152
| ~ spl0_111
| spl0_13
| ~ spl0_192
| ~ spl0_17
| ~ spl0_136
| spl0_309 ),
inference(rat,[],[s2696,s1567,s2407,s4170,s1215,s2373,s1609,s1533,s5362,s406,s3186,s2,s2409,s414,s203,s3260,s2875,s2062,s1790,s3345,s9,s3231,s5192,s1255,s2569,s1236,s5171,s4455,s5363,s3707,s3652,s12,s19,s3947,s2166,s2498,s2247,s5361,s5344]) ).
cnf(s5365,plain,
( ~ spl0_152
| ~ spl0_111
| spl0_13
| ~ spl0_192
| ~ spl0_286
| ~ spl0_17
| ~ spl0_136
| spl0_309 ),
inference(rat,[],[s2852,s26,s360,s1258,s5364,s4650,s19,s3947,s2166,s2498,s5361]) ).
cnf(s5366,plain,
( ~ spl0_263
| ~ spl0_8
| ~ spl0_181
| ~ spl0_294
| ~ spl0_47
| ~ spl0_111
| ~ spl0_17
| ~ spl0_136
| ~ spl0_120 ),
inference(rat,[],[s4454,s5163,s1157,s5093]) ).
cnf(s5367,plain,
( ~ spl0_111
| ~ spl0_72
| spl0_13
| ~ spl0_192
| ~ spl0_286
| ~ spl0_17
| ~ spl0_136
| spl0_309 ),
inference(rat,[],[s4170,s3487,s1236,s1583,s5171,s4455,s5366,s4,s5,s1950,s3347,s4226,s406,s3186,s2,s414,s97,s3526,s2706,s1533,s5140,s989,s4294,s921,s5365,s3707,s3652,s1251,s12,s3947,s2569,s2166,s2247,s2498,s5361,s1228,s19,s3345,s9,s3231,s5192,s1255,s5344]) ).
cnf(s5368,plain,
( ~ spl0_72
| spl0_13
| ~ spl0_192
| ~ spl0_286
| ~ spl0_17
| ~ spl0_136
| spl0_309 ),
inference(rat,[],[s4226,s100,s406,s3052,s1533,s3186,s2641,s3,s12,s414,s1667,s3659,s1707,s3260,s2875,s3189,s4597,s4309,s5367,s5361,s1790,s1228,s4530,s3345,s9,s3231,s5192,s1255,s5344]) ).
cnf(s5369,plain,
( spl0_13
| ~ spl0_192
| ~ spl0_286
| ~ spl0_17
| ~ spl0_136
| spl0_309 ),
inference(rat,[],[s1862,s4662,s1374,s4478,s3062,s5368,s19,s2498,s5361,s4530,s3231,s5192,s1255,s5344]) ).
cnf(s5370,plain,
( ~ spl0_192
| ~ spl0_286
| ~ spl0_17
| ~ spl0_136
| spl0_309 ),
inference(rat,[],[s2937,s1472,s100,s414,s3062,s4963,s3260,s2183,s3075,s2074,s3947,s5101,s3226,s5140,s406,s989,s2143,s3711,s2708,s3763,s5369,s5361,s1790,s5192,s1255,s5344]) ).
cnf(s5371,plain,
( ~ spl0_264
| ~ spl0_95
| spl0_419
| ~ spl0_4
| spl0_313
| ~ spl0_120 ),
inference(rat,[],[s2995,s2862,s2373]) ).
cnf(s5372,plain,
( ~ spl0_111
| spl0_13
| ~ spl0_286
| ~ spl0_17
| ~ spl0_136
| spl0_309 ),
inference(rat,[],[s4866,s2304,s5093,s4455,s5371,s2875,s1466,s406,s23,s2356,s3186,s3809,s1939,s2,s3707,s414,s1446,s97,s2223,s3652,s3526,s2706,s1533,s12,s3947,s4478,s528,s3345,s2166,s4662,s2247,s1929,s2498,s5361,s1790,s5192,s1255,s1228,s436,s5370,s19,s9,s5344]) ).
cnf(s5373,plain,
( ~ spl0_89
| ~ spl0_303
| ~ spl0_33
| spl0_110
| spl0_91
| spl0_111
| spl0_143
| ~ spl0_17
| spl0_309 ),
inference(rat,[],[s2891,s4454,s3677,s1682,s1605,s1330,s100,s4455,s3052,s2373,s2407,s2641,s2,s2995,s3352,s12,s2409,s414,s203,s1667,s4618,s1707,s3260,s2875,s2062,s5361,s1790,s3062,s2664,s5192,s1255,s5344]) ).
cnf(s5374,plain,
( spl0_13
| ~ spl0_286
| ~ spl0_17
| ~ spl0_136
| spl0_309 ),
inference(rat,[],[s4650,s360,s921,s2852,s2074,s3947,s3498,s26,s1466,s3075,s1258,s5373,s4882,s24,s23,s3062,s412,s3862,s1472,s3833,s1987,s3797,s2109,s4248,s4309,s5372,s19,s2498,s5361,s1228,s2027,s436,s5370,s5344]) ).
cnf(s5375,plain,
( ~ spl0_111
| ~ spl0_25
| spl0_149
| spl0_145
| ~ spl0_13
| ~ spl0_286
| spl0_164
| spl0_44
| ~ spl0_136 ),
inference(rat,[],[s3075,s2074,s2183,s3947,s499,s2166,s1929,s5344]) ).
cnf(s5376,plain,
( ~ spl0_286
| ~ spl0_17
| ~ spl0_136
| spl0_309 ),
inference(rat,[],[s3499,s1466,s3718,s4618,s1467,s2837,s3677,s973,s2664,s4882,s24,s23,s412,s3862,s3833,s1987,s4248,s4309,s5375,s4188,s17,s15,s2600,s2919,s2669,s1307,s1667,s506,s5,s3226,s5140,s441,s406,s989,s4419,s2143,s3711,s2708,s3763,s5374,s2027,s436,s5370,s2498,s5361,s1790,s5192,s1255,s5344]) ).
cnf(s5377,plain,
( ~ spl0_192
| spl0_20
| ~ spl0_374
| spl0_89
| ~ spl0_161
| ~ spl0_166
| ~ spl0_17
| ~ spl0_136
| ~ spl0_120 ),
inference(rat,[],[s3140,s4455,s2762,s5363,s1064,s921,s5353,s1861,s146,s5140,s63,s132,s2706,s2537,s1980,s673,s1812,s23,s3191,s4657,s3071,s1466,s2569,s3231,s5192,s2062,s4310,s3947,s5344]) ).
cnf(s5378,plain,
( spl0_13
| spl0_192
| ~ spl0_111
| spl0_89
| ~ spl0_195
| ~ spl0_161
| spl0_44
| ~ spl0_136
| ~ spl0_68 ),
inference(rat,[],[s3526,s1706,s528,s344,s4662,s19]) ).
cnf(s5379,plain,
( ~ spl0_17
| ~ spl0_136
| spl0_309 ),
inference(rat,[],[s3226,s406,s2074,s2143,s3711,s2708,s3763,s5378,s5377,s3947,s2166,s2247,s4309,s1971,s346,s3075,s3260,s416,s3109,s3221,s1327,s5376,s1790,s5192,s2062,s1255,s2498,s5361,s5344]) ).
cnf(s5381,plain,
( spl0_145
| ~ spl0_136
| spl0_309 ),
inference(rat,[],[s4226,s395,s1950,s4416,s4294,s5192,s1255,s4,s2945,s1533,s5139,s4253,s2166,s4248,s5125,s2498,s5361,s5379,s5344]) ).
cnf(s5383,plain,
( ~ spl0_136
| spl0_309 ),
inference(rat,[],[s2443,s1215,s1816,s2890,s2407,s3140,s4454,s1721,s2362,s1519,s1570,s4455,s4170,s5363,s5068,s395,s3707,s658,s3163,s3652,s2474,s19,s3778,s921,s5381,s1533,s4,s5139,s2945,s4253,s12,s3947,s2664,s2166,s4882,s4242,s4248,s5135,s5125,s149,s5379,s2498,s5192,s1255,s5361,s5344]) ).
cnf(s5384,plain,
( ~ spl0_192
| spl0_13
| ~ spl0_17
| spl0_309 ),
inference(rat,[],[s1214,s2407,s2006,s2762,s4454,s1570,s5163,s1928,s5093,s1889,s974,s3052,s4455,s100,s5092,s4226,s406,s3186,s2072,s1609,s3221,s2641,s3707,s2409,s416,s414,s3652,s3526,s12,s3947,s3345,s4225,s2847,s3231,s2062,s5361,s4388,s6,s1534,s1533,s1706,s4365,s5383,s5133,s5192,s1255,s19,s9,s5344]) ).
cnf(s5385,plain,
( ~ spl0_89
| ~ spl0_286
| ~ spl0_111
| spl0_13
| ~ spl0_17
| spl0_309 ),
inference(rat,[],[s3707,s5093,s3652,s4866,s12,s3947,s2304,s1707,s4455,s4526,s5092,s4226,s406,s2627,s1667,s4367,s3260,s2875,s1731,s4388,s3057,s6,s1534,s1533,s1706,s4365,s5383,s5133,s1790,s5192,s1255,s19,s1540,s4382,s5384,s2247,s5361,s5344]) ).
cnf(s5386,plain,
( ~ spl0_286
| ~ spl0_111
| spl0_13
| ~ spl0_17
| spl0_309 ),
inference(rat,[],[s4454,s5163,s1150,s4170,s3487,s5,s4512,s4539,s406,s3515,s1204,s3361,s2600,s921,s4528,s15,s3028,s4478,s499,s4336,s3526,s414,s3809,s2641,s23,s1376,s1466,s3075,s5385,s4530,s1929,s6,s1534,s1533,s1706,s1790,s5192,s1255,s1900,s4365,s5383,s5133,s436,s1540,s4382,s5384,s5344]) ).
cnf(s5387,plain,
( spl0_286
| ~ spl0_23
| ~ spl0_17
| spl0_309 ),
inference(rat,[],[s344,s3526,s3260,s416,s3109,s3221,s2062,s1706,s4365,s5383,s5133,s1790,s5192,s1255,s5344]) ).
cnf(s5388,plain,
( spl0_13
| ~ spl0_17
| spl0_309 ),
inference(rat,[],[s12,s3498,s3052,s1466,s2641,s100,s5373,s414,s3515,s4882,s3526,s921,s24,s23,s3062,s4294,s412,s3862,s1472,s3502,s3833,s1987,s3797,s2109,s4248,s4309,s5386,s5387,s2027,s436,s5384,s19,s5361,s3057,s1706,s5192,s1255,s1900,s4365,s5383,s5133,s5344]) ).
cnf(s5389,plain,
( ~ spl0_17
| spl0_309 ),
inference(rat,[],[s395,s4416,s1305,s921,s506,s2640,s5388,s1900,s5361,s4365,s5133,s4,s2932,s5383]) ).
cnf(s5390,plain,
( ~ spl0_286
| spl0_13
| spl0_309 ),
inference(rat,[],[s2064,s3736,s2641,s3352,s414,s1644,s3526,s4454,s4516,s1860,s4530,s1689,s4367,s1929,s1718,s6,s1534,s1706,s10,s4248,s5125,s4226,s1731,s1489,s4170,s395,s4882,s5135,s5068,s658,s2474,s5192,s1255,s1533,s4365,s5133,s3163,s19,s149,s5389,s4,s2932,s5383,s5361,s5344,s5345]) ).
cnf(s5391,plain,
( spl0_13
| spl0_309 ),
inference(rat,[],[s2058,s1327,s5390,s1851,s100,s4226,s395,s658,s2474,s5192,s1255,s1533,s4365,s5133,s4,s2932,s5383,s5389,s5345,s5344]) ).
cnf(s5392,plain,
( ~ spl0_58
| ~ spl0_286
| spl0_309 ),
inference(rat,[],[s4416,s921,s395,s3515,s4226,s1533,s1706,s4365,s5133,s5192,s1255,s4,s2932,s5383,s5344]) ).
cnf(s5393,plain,
( ~ spl0_72
| ~ spl0_286
| spl0_309 ),
inference(rat,[],[s4731,s3526,s2183,s1706,s4365,s5383,s5133,s5192,s1255,s5391,s1929,s1718,s5361,s4248,s5125,s5389,s5344]) ).
cnf(s5394,plain,
( ~ spl0_286
| spl0_309 ),
inference(rat,[],[s1731,s4657,s4367,s3947,s4526,s533,s5393,s1205,s4294,s1950,s5392,s1929,s1718,s1255,s5361,s6,s1534,s4,s2932,s5383,s4248,s5125,s5389,s5391,s5344]) ).
cnf(s5395,plain,
spl0_309,
inference(rat,[],[s3936,s1607,s3526,s2660,s416,s2532,s3221,s5394,s1706,s4365,s4388,s5383,s2062,s5192,s5133,s1255,s5344]) ).
cnf(s5396,plain,
( ~ spl0_72
| spl0_192
| ~ spl0_111
| ~ spl0_89
| ~ spl0_136
| ~ spl0_368
| spl0_13 ),
inference(rat,[],[s4662,s528,s1265,s2242]) ).
cnf(s5397,plain,
( ~ spl0_68
| spl0_397
| ~ spl0_111
| ~ spl0_17
| ~ spl0_286 ),
inference(rat,[],[s3055,s1695,s1929,s2072,s1790,s3501,s436,s4127,s5344,s5395]) ).
cnf(s5398,plain,
( spl0_58
| spl0_313
| ~ spl0_6
| ~ spl0_110
| ~ spl0_83
| ~ spl0_50
| spl0_148 ),
inference(rat,[],[s406,s1954,s3238,s2180,s3729,s3535,s3050,s100,s5395,s5344]) ).
cnf(s5399,plain,
( ~ spl0_303
| spl0_95
| ~ spl0_181
| ~ spl0_30
| ~ spl0_294
| ~ spl0_17 ),
inference(rat,[],[s1481,s4170]) ).
cnf(s5400,plain,
( ~ spl0_111
| ~ spl0_89
| spl0_148
| ~ spl0_136
| ~ spl0_17
| ~ spl0_286
| spl0_13 ),
inference(rat,[],[s1721,s1887,s5175,s3548,s1236,s5399,s2458,s413,s3060,s3011,s3299,s921,s4650,s5398,s3808,s3652,s2852,s4478,s12,s3947,s4662,s2166,s1027,s1900,s2235,s1533,s5186,s3325,s480,s5397,s3062,s4336,s5396,s3240,s436,s4127,s19,s1538,s26,s1650,s5344,s5395]) ).
cnf(s5401,plain,
( ~ spl0_72
| spl0_302
| ~ spl0_263
| ~ spl0_61
| ~ spl0_89
| spl0_143
| ~ spl0_136
| ~ spl0_17
| ~ spl0_368
| spl0_13 ),
inference(rat,[],[s5175,s1236,s2762,s4154,s3231,s5353,s4500,s3707,s155,s3652,s6,s12,s3947,s2120,s5140,s1707,s2242,s19,s2485,s5395]) ).
cnf(s5402,plain,
( spl0_6
| spl0_72
| ~ spl0_263
| ~ spl0_89
| ~ spl0_318
| ~ spl0_17
| ~ spl0_286 ),
inference(rat,[],[s3879,s3629,s3411,s2180,s2407,s3866,s3535,s2409,s348,s100,s3260,s1321,s1214,s3348,s1790,s1780,s4305,s2907,s5139,s63,s4336,s3062,s5344,s5395]) ).
cnf(s5403,plain,
( ~ spl0_68
| spl0_313
| ~ spl0_6
| ~ spl0_110
| ~ spl0_83
| ~ spl0_61
| spl0_148
| ~ spl0_318
| ~ spl0_17
| ~ spl0_286 ),
inference(rat,[],[s436,s5398,s3231,s3348]) ).
cnf(s5404,plain,
( ~ spl0_3
| ~ spl0_61
| ~ spl0_89 ),
inference(rat,[],[s203,s370]) ).
cnf(s5405,plain,
( ~ spl0_89
| spl0_148
| ~ spl0_136
| ~ spl0_17
| ~ spl0_286
| spl0_13 ),
inference(rat,[],[s1236,s4934,s4170,s3487,s4982,s5,s4136,s1540,s5398,s4383,s4382,s436,s3949,s3766,s2,s5404,s480,s5403,s4287,s1085,s1027,s1900,s2482,s2235,s1533,s5402,s3062,s4336,s5401,s1889,s2306,s4455,s4815,s196,s2567,s1987,s4309,s5400,s9,s1538,s2485,s1228,s3056,s5395,s5344]) ).
cnf(s5406,plain,
( ~ spl0_68
| ~ spl0_8
| ~ spl0_72
| ~ spl0_61
| spl0_161
| spl0_417
| spl0_148
| spl0_143
| ~ spl0_17
| ~ spl0_286 ),
inference(rat,[],[s3625,s3849,s2407,s1214,s4455,s4706,s4309,s1929,s1790,s1780,s1538,s5395]) ).
cnf(s5407,plain,
( ~ spl0_72
| spl0_148
| ~ spl0_136
| ~ spl0_17
| ~ spl0_286
| spl0_13 ),
inference(rat,[],[s4127,s4286,s3235,s3766,s3060,s2,s3266,s312,s1430,s413,s388,s3187,s1444,s307,s3364,s3720,s5138,s480,s5406,s5186,s2242,s1538,s1228,s2840,s3228,s4331,s3229,s196,s3365,s4310,s5405,s26,s1650,s5395,s5344]) ).
cnf(s5408,plain,
( ~ spl0_68
| ~ spl0_110
| ~ spl0_61
| ~ spl0_82
| ~ spl0_318
| ~ spl0_17
| ~ spl0_286 ),
inference(rat,[],[s2767,s2175,s100,s1929,s3348,s1790,s5344]) ).
cnf(s5409,plain,
( ~ spl0_303
| ~ spl0_47
| ~ spl0_48
| ~ spl0_111
| ~ spl0_135
| ~ spl0_181
| ~ spl0_294
| spl0_148
| ~ spl0_17 ),
inference(rat,[],[s2816,s3146,s2081,s4455,s4170,s5093]) ).
cnf(s5410,plain,
( ~ spl0_111
| ~ spl0_135
| ~ spl0_181
| spl0_44
| ~ spl0_29
| ~ spl0_294
| spl0_68
| ~ spl0_61
| spl0_148
| ~ spl0_136
| ~ spl0_17
| ~ spl0_286
| ~ spl0_23 ),
inference(rat,[],[s2257,s4454,s4455,s3127,s3548,s5143,s5144,s5409,s3808,s3707,s3652,s3240,s12,s3947,s436,s2166,s1909,s4127,s5395]) ).
cnf(s5411,plain,
( spl0_148
| ~ spl0_136
| ~ spl0_17
| ~ spl0_286
| spl0_13 ),
inference(rat,[],[s2847,s3947,s407,s2074,s3344,s2109,s5410,s4294,s1954,s413,s1900,s2527,s1533,s3187,s5186,s3364,s3325,s480,s5408,s3062,s5407,s196,s3365,s3075,s4310,s5405,s26,s1650,s19,s2485,s5344,s5395]) ).
cnf(s5412,plain,
( ~ spl0_68
| spl0_44
| spl0_89
| ~ spl0_316
| ~ spl0_136
| ~ spl0_286
| ~ spl0_23 ),
inference(rat,[],[s2166,s3947,s4597,s2852,s4530,s360,s1850,s3348,s2485,s26,s1258,s5344,s5395]) ).
cnf(s5413,plain,
( spl0_29
| spl0_183
| ~ spl0_150
| ~ spl0_54
| spl0_68
| spl0_393 ),
inference(rat,[],[s3212,s1787,s2,s312]) ).
cnf(s5414,plain,
( spl0_6
| spl0_68
| spl0_313
| ~ spl0_136
| ~ spl0_286 ),
inference(rat,[],[s5044,s3325,s5413,s926,s921,s4650,s307,s5138,s5186,s63,s4287,s5344]) ).
cnf(s5415,plain,
( ~ spl0_136
| ~ spl0_17
| ~ spl0_286
| spl0_13 ),
inference(rat,[],[s921,s2074,s4650,s2109,s360,s1929,s2852,s4657,s3947,s2471,s2242,s5414,s5412,s26,s3075,s1258,s1027,s2498,s1602,s1568,s1718,s2722,s5411,s19,s1538,s5344,s5395]) ).
cnf(s5416,plain,
( spl0_148
| ~ spl0_17
| ~ spl0_286
| spl0_13 ),
inference(rat,[],[s3055,s915,s1695,s4082,s4559,s3646,s2,s375,s2458,s4310,s3364,s15,s480,s5,s2627,s2600,s3187,s5397,s402,s406,s413,s1540,s3240,s1955,s4382,s4250,s436,s1747,s4127,s5351,s4234,s4013,s1678,s3057,s5415,s5344,s5395]) ).
cnf(s5417,plain,
( ~ spl0_68
| ~ spl0_17
| ~ spl0_286
| spl0_13 ),
inference(rat,[],[s5,s3048,s4512,s1955,s574,s406,s1810,s5397,s1747,s4597,s4530,s1850,s3501,s5415,s2722,s1602,s5416,s1538,s5395,s5344]) ).
cnf(s5418,plain,
( ~ spl0_54
| ~ spl0_144
| spl0_313
| spl0_136 ),
inference(rat,[],[s3375,s3342]) ).
cnf(s5419,plain,
( ~ spl0_111
| spl0_397
| spl0_313
| spl0_164
| ~ spl0_17
| ~ spl0_286 ),
inference(rat,[],[s1695,s3055,s436,s1929,s4127,s5344,s5395]) ).
cnf(s5420,plain,
( ~ spl0_263
| spl0_315
| ~ spl0_303
| ~ spl0_152
| ~ spl0_192
| ~ spl0_47 ),
inference(rat,[],[s1567,s3635,s3626,s5395]) ).
cnf(s5421,plain,
( ~ spl0_303
| ~ spl0_152
| ~ spl0_192
| ~ spl0_147
| ~ spl0_47
| ~ spl0_24
| ~ spl0_6
| ~ spl0_17 ),
inference(rat,[],[s1717,s1566,s2686,s4455,s5420,s1884]) ).
cnf(s5422,plain,
( ~ spl0_17
| ~ spl0_286
| spl0_13 ),
inference(rat,[],[s3282,s4454,s3385,s2690,s5175,s5144,s1236,s5421,s1964,s921,s407,s196,s2074,s3235,s3344,s4597,s2109,s4309,s5419,s1810,s406,s3212,s3766,s2,s312,s307,s3707,s360,s3652,s2852,s12,s3947,s3361,s63,s5418,s5044,s4336,s3263,s3720,s3014,s480,s5417,s387,s26,s4287,s3042,s3075,s4310,s1258,s1027,s1602,s1568,s1718,s5416,s5415,s19,s1538,s5344,s5395]) ).
cnf(s5423,plain,
( spl0_148
| spl0_313
| ~ spl0_318
| ~ spl0_36
| ~ spl0_286
| ~ spl0_23 ),
inference(rat,[],[s3348,s3050,s3014,s3754,s2757,s3663,s2965,s5344]) ).
cnf(s5424,plain,
( ~ spl0_288
| ~ spl0_89
| spl0_161
| ~ spl0_61
| spl0_164 ),
inference(rat,[],[s2407,s2502,s1721,s1887]) ).
cnf(s5425,plain,
( ~ spl0_136
| ~ spl0_286
| spl0_13 ),
inference(rat,[],[s4170,s1570,s3548,s5424,s3075,s2624,s2074,s2729,s2109,s4294,s1929,s1954,s4478,s395,s3707,s4528,s4,s3652,s6,s2945,s12,s3947,s1535,s2471,s1718,s2722,s5423,s1027,s2242,s2235,s2485,s19,s1538,s149,s5134,s658,s2474,s1533,s5140,s3823,s5422,s5344,s5395]) ).
cnf(s5426,plain,
( spl0_148
| ~ spl0_286
| spl0_13 ),
inference(rat,[],[s3014,s1706,s2757,s5351,s149,s5140,s3823,s5422,s2858,s5425,s19,s5344]) ).
cnf(s5427,plain,
( ~ spl0_145
| ~ spl0_68
| spl0_136
| ~ spl0_6
| ~ spl0_286 ),
inference(rat,[],[s3717,s3634,s3050,s406,s3515,s1954,s921,s1706,s2072,s3501,s5344,s5395]) ).
cnf(s5428,plain,
( ~ spl0_68
| spl0_136
| ~ spl0_6
| ~ spl0_286 ),
inference(rat,[],[s4226,s402,s3347,s5,s4437,s3048,s4294,s5427,s2072,s3501,s1533,s5344,s5395]) ).
cnf(s5429,plain,
( ~ spl0_8
| spl0_68
| spl0_17 ),
inference(rat,[],[s3507,s1120,s3325,s2945,s5134,s5135,s1901]) ).
cnf(s5430,plain,
( ~ spl0_303
| ~ spl0_322
| ~ spl0_10
| spl0_145
| ~ spl0_181
| ~ spl0_294 ),
inference(rat,[],[s4455,s734,s1153,s4170]) ).
cnf(s5431,plain,
( spl0_303
| ~ spl0_89
| spl0_68
| spl0_164
| ~ spl0_34 ),
inference(rat,[],[s3352,s5175,s1115,s1236]) ).
cnf(s5432,plain,
( spl0_278
| ~ spl0_47
| ~ spl0_111
| ~ spl0_10
| ~ spl0_135
| ~ spl0_30 ),
inference(rat,[],[s4454,s1201,s1519]) ).
cnf(s5433,plain,
( ~ spl0_286
| spl0_13 ),
inference(rat,[],[s3028,s4336,s2064,s2762,s3075,s5175,s5431,s1236,s1064,s4170,s5432,s4530,s1929,s453,s3347,s2109,s5,s3502,s3048,s4294,s1954,s3163,s395,s4,s5429,s5428,s1718,s5426,s3057,s5425,s1533,s658,s5140,s2474,s3823,s5135,s149,s5422,s19,s5344,s5395]) ).
cnf(s5434,plain,
( spl0_68
| spl0_17
| ~ spl0_6
| spl0_136
| spl0_13 ),
inference(rat,[],[s1928,s4869,s974,s2109,s4455,s3502,s5055,s4294,s1954,s395,s4,s3192,s2761,s5429,s3014,s480,s3057,s2858,s19,s100,s1851,s3108,s1327,s4336,s1607,s2660,s2532,s4388,s5433,s149,s658,s2474,s5395,s5344]) ).
cnf(s5435,plain,
( spl0_17
| ~ spl0_6
| spl0_136
| spl0_13 ),
inference(rat,[],[s1707,s2945,s2613,s4,s673,s395,s2706,s4226,s1706,s5434,s658,s2474,s149,s3109,s100,s1851,s3108,s1327,s4336,s1607,s2660,s2532,s4388,s5433,s1533,s5344]) ).
cnf(s5436,plain,
( spl0_148
| spl0_44
| ~ spl0_72
| ~ spl0_364
| ~ spl0_354 ),
inference(rat,[],[s3498,s3947,s196,s1471,s2759]) ).
cnf(s5437,plain,
( ~ spl0_6
| spl0_136
| spl0_13 ),
inference(rat,[],[s3526,s1706,s414,s480,s2752,s1615,s1027,s2322,s1568,s5436,s1900,s5435,s3109,s3108,s1327,s4336,s1607,s2660,s2532,s4388,s5433,s5344,s5395]) ).
cnf(s5438,plain,
( spl0_136
| spl0_13 ),
inference(rat,[],[s1265,s4310,s5436,s4658,s1568,s1027,s3823,s3342,s5140,s63,s5437,s4336,s1607,s2660,s2532,s4388,s3108,s1327,s5433,s5344,s5395]) ).
cnf(s5439,plain,
( ~ spl0_6
| spl0_13 ),
inference(rat,[],[s523,s2945,s1283,s4,s2669,s395,s2531,s658,s406,s2474,s1954,s2875,s4294,s2458,s2729,s344,s2624,s513,s414,s480,s2752,s2160,s2248,s1027,s2527,s2235,s19,s3109,s3108,s1327,s5433,s5438,s5395,s5344]) ).
cnf(s5440,plain,
( spl0_68
| spl0_13 ),
inference(rat,[],[s4455,s4815,s5354,s921,s4309,s5353,s1514,s4127,s4500,s3707,s155,s3652,s2852,s6,s12,s3947,s2120,s3498,s1265,s196,s4310,s26,s2759,s4658,s1650,s1568,s1027,s2761,s4305,s480,s19,s3108,s1327,s5433,s5438,s5139,s3823,s5140,s5439,s5344,s5395]) ).
cnf(s5441,plain,
( ~ spl0_148
| spl0_13 ),
inference(rat,[],[s2766,s3098,s3120,s4309,s5378,s4768,s2458,s414,s2752,s1027,s2498,s2322,s1568,s3109,s5433,s5438,s3823,s5140,s5439,s5440,s5344,s5395]) ).
cnf(s5442,plain,
spl0_13,
inference(rat,[],[s6,s4528,s2120,s3498,s1265,s2907,s528,s2409,s3231,s3260,s196,s4310,s2759,s4658,s5441,s1790,s5440,s3823,s5140,s63,s5439,s3108,s3109,s1327,s5433,s5344]) ).
cnf(s5443,plain,
( spl0_145
| ~ spl0_264
| ~ spl0_83
| ~ spl0_119
| ~ spl0_294
| ~ spl0_34
| spl0_136 ),
inference(rat,[],[s413,s4905,s3011,s6,s1534,s5442,s5344]) ).
cnf(s5444,plain,
( ~ spl0_89
| ~ spl0_313
| ~ spl0_148
| ~ spl0_286
| ~ spl0_6
| spl0_17
| spl0_136 ),
inference(rat,[],[s2113,s2026,s4454,s2825,s2899,s1032,s406,s3152,s3515,s2637,s1954,s2898,s921,s5443,s436,s3516,s3820,s2843,s387,s4455,s4516,s3853,s3263,s1153,s4367,s4336,s5431,s1731,s2183,s6,s1534,s3034,s4388,s5134,s5135,s1533,s2482,s480,s5428,s1718,s1027,s1667,s5395,s5442,s5344]) ).
cnf(s5445,plain,
( ~ spl0_181
| spl0_145
| ~ spl0_322
| ~ spl0_286
| ~ spl0_6
| spl0_17
| spl0_136 ),
inference(rat,[],[s5148,s4454,s4455,s1201,s5430,s4905,s5275,s6,s1534,s5134,s5135,s1533,s5428,s4294,s5,s3048,s5442]) ).
cnf(s5446,plain,
( ~ spl0_111
| ~ spl0_221
| ~ spl0_222
| ~ spl0_22
| spl0_145
| ~ spl0_72
| spl0_89
| spl0_95
| ~ spl0_313
| spl0_164
| spl0_68
| ~ spl0_286
| spl0_136 ),
inference(rat,[],[s1043,s734,s3915,s4455,s824,s1320,s533,s348,s2537,s3071,s23,s893,s1239,s1466,s2442,s407,s436,s1929,s1483,s6,s1534,s480,s4310,s3347,s5,s3048,s4294,s5442,s5344]) ).
cnf(s5447,plain,
( spl0_111
| spl0_89
| spl0_95
| ~ spl0_119 ),
inference(rat,[],[s3517,s3060,s407,s196,s3235,s3344,s4597,s3720,s4310,s5344]) ).
cnf(s5448,plain,
( ~ spl0_313
| ~ spl0_148
| ~ spl0_286
| ~ spl0_6
| spl0_17
| spl0_136 ),
inference(rat,[],[s3936,s5446,s3011,s447,s448,s406,s413,s5,s5445,s3048,s2898,s5447,s5444,s1667,s1027,s2482,s480,s5428,s1718,s5344,s5442,s5395]) ).
cnf(s5449,plain,
( spl0_145
| spl0_313
| spl0_68
| spl0_136 ),
inference(rat,[],[s307,s3212,s3347,s433,s5,s926,s3048,s4294,s2,s70,s5044,s4336,s3263,s387,s3042,s480,s4287,s5344,s5442]) ).
cnf(s5450,plain,
( ~ spl0_148
| ~ spl0_286
| ~ spl0_6
| spl0_17
| spl0_136 ),
inference(rat,[],[s3164,s3947,s1232,s915,s407,s196,s3344,s4597,s2637,s2898,s5449,s3526,s3210,s2,s70,s4310,s5044,s2183,s4336,s3263,s387,s4287,s3042,s5448,s1718,s149,s1533,s2482,s480,s5428,s5344,s5395,s5442]) ).
cnf(s5451,plain,
( spl0_145
| ~ spl0_286
| ~ spl0_6
| spl0_17
| spl0_136 ),
inference(rat,[],[s5002,s963,s3548,s1153,s432,s4455,s5,s5445,s5287,s3048,s5134,s4331,s1027,s2965,s2757,s5450,s3014,s5428,s149,s5442,s5395,s5344]) ).
cnf(s5452,plain,
( spl0_303
| ~ spl0_215
| spl0_68
| ~ spl0_6
| ~ spl0_49 ),
inference(rat,[],[s5002,s963,s3548,s5442]) ).
cnf(s5453,plain,
( ~ spl0_286
| ~ spl0_6
| spl0_17
| spl0_136 ),
inference(rat,[],[s2840,s4310,s4706,s4815,s4455,s1153,s5452,s196,s529,s2567,s2126,s1987,s395,s4309,s1954,s2898,s5451,s1027,s2965,s3228,s2757,s3056,s4331,s5450,s4,s5429,s3014,s5428,s149,s5134,s2482,s5344,s5395,s5442]) ).
cnf(s5454,plain,
( ~ spl0_6
| spl0_17
| spl0_136 ),
inference(rat,[],[s1153,s5452,s4455,s529,s5055,s2126,s2898,s395,s5447,s1027,s4,s1615,s2761,s5429,s480,s2706,s3266,s673,s2409,s4658,s2613,s4310,s2183,s2086,s307,s4336,s100,s1607,s1851,s2660,s3108,s2532,s3109,s1327,s5453,s2482,s4388,s149,s5134,s5442,s5395,s5344]) ).
cnf(s5455,plain,
( ~ spl0_286
| spl0_17
| spl0_136 ),
inference(rat,[],[s2776,s1035,s3118,s3718,s2753,s3060,s4336,s3719,s2183,s3346,s3063,s4597,s2567,s1230,s1890,s4530,s1120,s1850,s3778,s1718,s2722,s1547,s31,s4309,s156,s1205,s921,s4362,s4361,s2072,s3501,s149,s10,s5135,s63,s155,s6,s1534,s5429,s5186,s533,s4253,s5139,s5454,s5344,s5442,s5395]) ).
cnf(s5456,plain,
( spl0_17
| spl0_136 ),
inference(rat,[],[s1928,s4869,s974,s4455,s5055,s1205,s4597,s2759,s4530,s2183,s916,s2086,s4336,s100,s3342,s1607,s1851,s2660,s3108,s2532,s1327,s5455,s533,s4253,s5139,s63,s5454,s4388,s5395,s5344,s5442]) ).
cnf(s5457,plain,
( spl0_145
| ~ spl0_313
| ~ spl0_286
| ~ spl0_6
| spl0_136 ),
inference(rat,[],[s2762,s5175,s963,s1236,s1153,s1889,s4455,s5297,s4309,s4579,s1929,s196,s3074,s3075,s4310,s2086,s425,s432,s5302,s3347,s4336,s5,s3011,s3048,s4294,s1900,s413,s1305,s480,s5428,s1027,s1667,s26,s1542,s506,s5456,s5442,s5344,s5395]) ).
cnf(s5458,plain,
( ~ spl0_313
| ~ spl0_286
| ~ spl0_6
| spl0_136 ),
inference(rat,[],[s2847,s12,s407,s3737,s1192,s813,s2626,s4389,s3629,s3313,s4454,s5175,s5144,s5148,s1236,s1153,s196,s4455,s2567,s4609,s3346,s4309,s2898,s5457,s3056,s1667,s1027,s4388,s2482,s1900,s506,s5456,s5428,s5344,s5442,s5395]) ).
cnf(s5459,plain,
( spl0_303
| spl0_141
| ~ spl0_263
| spl0_313
| spl0_68
| ~ spl0_286
| ~ spl0_4 ),
inference(rat,[],[s3287,s3385,s4454,s5175,s5148,s1236,s3210,s480,s5344]) ).
cnf(s5460,plain,
( ~ spl0_286
| ~ spl0_6
| spl0_136 ),
inference(rat,[],[s1032,s3487,s2407,s2644,s3625,s1884,s5459,s5,s433,s1437,s1964,s388,s407,s1444,s4455,s3515,s196,s3344,s3364,s3229,s4609,s3050,s4597,s4310,s4309,s3778,s3717,s2458,s2898,s921,s3634,s3210,s5449,s2982,s5458,s480,s5428,s1538,s4388,s2482,s1900,s2,s69,s406,s1305,s506,s5456,s5442,s5344,s5395]) ).
cnf(s5461,plain,
( ~ spl0_6
| spl0_136 ),
inference(rat,[],[s921,s2640,s5271,s5436,s4336,s1607,s2660,s3108,s2532,s1327,s5460,s1900,s4388,s5456,s5442,s5395,s5344]) ).
cnf(s5462,plain,
( spl0_68
| spl0_136 ),
inference(rat,[],[s533,s916,s3947,s196,s1471,s3074,s1568,s4310,s26,s1027,s2183,s1262,s2086,s3375,s5418,s4305,s5138,s3014,s5456,s63,s5139,s5461,s5442,s5344,s5395]) ).
cnf(s5463,plain,
( ~ spl0_148
| ~ spl0_286
| spl0_136 ),
inference(rat,[],[s5397,s1810,s4597,s406,s4530,s1305,s1850,s1602,s2322,s2722,s5456,s5462,s1538,s5344,s5442,s5395]) ).
cnf(s5464,plain,
( ~ spl0_286
| spl0_136 ),
inference(rat,[],[s963,s3629,s3625,s2407,s1214,s4455,s4706,s2840,s3229,s4310,s2183,s261,s526,s4309,s3231,s1929,s3055,s1375,s3947,s533,s4362,s156,s31,s3228,s1547,s3056,s4331,s5463,s3342,s4361,s2072,s3501,s1538,s63,s5140,s155,s5461,s6,s1534,s1780,s1790,s5462,s5456,s5344,s5442,s5395]) ).
cnf(s5465,plain,
spl0_136,
inference(rat,[],[s4658,s4310,s1568,s2183,s1027,s4336,s3342,s1607,s2660,s2532,s5464,s1790,s5462,s63,s5461,s5456,s4388,s5344,s5442,s5395]) ).
cnf(s5466,plain,
spl0_318,
inference(rat,[],[s2485,s5395,s5465]) ).
cnf(s5467,plain,
( ~ spl0_148
| ~ spl0_286
| ~ spl0_6 ),
inference(rat,[],[s4657,s1270,s2167,s307,s100,s3066,s3028,s3947,s3711,s2471,s3763,s2498,s2722,s1228,s4336,s83,s2242,s1538,s5442,s5344,s5465,s5395]) ).
cnf(s5468,plain,
( ~ spl0_286
| ~ spl0_6
| ~ spl0_36 ),
inference(rat,[],[s261,s3947,s4480,s523,s1964,s436,s5398,s3348,s3501,s3014,s2757,s3056,s5467,s3062,s4336,s2242,s1538,s2527,s2965,s1027,s2235,s5466,s5395,s5344,s5465]) ).
cnf(s5469,plain,
( ~ spl0_6
| ~ spl0_36 ),
inference(rat,[],[s3949,s436,s196,s2766,s3098,s3240,s2759,s3120,s4309,s3763,s2898,s3711,s4294,s2729,s2624,s513,s414,s2551,s2752,s3108,s2248,s3109,s1327,s5468,s1251,s1027,s2527,s2235,s2482,s5344,s5442,s5465,s5395]) ).
cnf(s5470,plain,
( ~ spl0_148
| ~ spl0_286
| spl0_17 ),
inference(rat,[],[s3066,s3028,s83,s4336,s2183,s4597,s4530,s3711,s1850,s2247,s3763,s1718,s2722,s2778,s4253,s5139,s100,s3348,s5429,s5186,s5469,s149,s5344,s5442,s5465,s5395,s5466]) ).
cnf(s5471,plain,
( ~ spl0_286
| spl0_17 ),
inference(rat,[],[s3625,s4639,s963,s2580,s5354,s4455,s4815,s196,s2567,s3346,s4309,s1205,s921,s2180,s3535,s3062,s4336,s1707,s4310,s3656,s3056,s5470,s3360,s100,s3348,s1228,s1538,s3,s5140,s5429,s5186,s533,s4253,s5139,s5469,s149,s5465,s5344,s5466,s5395,s5442]) ).
cnf(s5472,plain,
( ~ spl0_148
| spl0_17 ),
inference(rat,[],[s938,s1153,s4869,s4455,s1027,s4766,s2114,s2428,s2163,s75,s100,s1707,s307,s2465,s1270,s1919,s2729,s2766,s3098,s3227,s4294,s3120,s4309,s3711,s2247,s3763,s2498,s63,s5140,s2778,s533,s4253,s5139,s5469,s149,s4308,s5471,s5395,s5344,s5442,s5465]) ).
cnf(s5473,plain,
spl0_17,
inference(rat,[],[s2753,s2664,s2488,s963,s813,s5354,s4455,s4815,s4309,s1205,s921,s2180,s2409,s3535,s2624,s2907,s3062,s4336,s1707,s100,s915,s916,s196,s4310,s2759,s4658,s5472,s3108,s3109,s1327,s5471,s533,s5429,s4253,s5186,s5140,s5139,s63,s5469,s149,s5465,s5344,s5442]) ).
cnf(s5474,plain,
~ spl0_148,
inference(rat,[],[s2708,s5442,s5466,s5473]) ).
cnf(s5475,plain,
spl0_285,
inference(rat,[],[s4331,s5474]) ).
cnf(s5477,plain,
~ spl0_37,
inference(rat,[],[s1650,s5474]) ).
cnf(s5478,plain,
spl0_91,
inference(rat,[],[s3056,s5344,s5474]) ).
cnf(s5479,plain,
~ spl0_431,
inference(rat,[],[s3228,s5344,s5475]) ).
cnf(s5480,plain,
spl0_38,
inference(rat,[],[s26,s5477]) ).
cnf(s5482,plain,
( spl0_68
| ~ spl0_6
| ~ spl0_286 ),
inference(rat,[],[s2767,s100,s2175,s4650,s4310,s2898,s921,s2458,s3011,s3766,s480,s2482,s2,s69,s4336,s3062,s2242,s1538,s4287,s1027,s2235,s413,s1305,s506,s5344,s5465,s5442,s5473,s5395]) ).
cnf(s5483,plain,
( ~ spl0_6
| ~ spl0_286 ),
inference(rat,[],[s2847,s3947,s436,s261,s5398,s4480,s3348,s5403,s5482,s3062,s4336,s1027,s2242,s2235,s1538,s5473,s5478,s5474,s5466,s5344,s5395,s5465]) ).
cnf(s5484,plain,
( spl0_68
| ~ spl0_286 ),
inference(rat,[],[s3074,s4310,s4530,s2183,s2167,s2086,s4305,s5138,s1228,s5139,s5483,s5344,s5474,s5480,s5442,s5465]) ).
cnf(s5485,plain,
( ~ spl0_89
| ~ spl0_286 ),
inference(rat,[],[s3646,s2,s4249,s1305,s129,s3260,s2875,s5483,s1790,s3348,s5484,s5442,s5473,s5466]) ).
cnf(s5486,plain,
~ spl0_286,
inference(rat,[],[s3062,s5408,s5406,s196,s2840,s3229,s3074,s4310,s5485,s5484,s5186,s5483,s1228,s5344,s5466,s5473,s5474,s5479,s5480,s5465]) ).
cnf(s5490,plain,
spl0_161,
inference(rat,[],[s3109,s5344,s5486]) ).
cnf(s5491,plain,
~ spl0_82,
inference(rat,[],[s4658,s5344,s5474,s5486]) ).
cnf(s5495,plain,
spl0_89,
inference(rat,[],[s4310,s5491]) ).
cnf(s5500,plain,
~ spl0_6,
inference(rat,[],[s414,s2752,s2458,s1027,s506,s2235,s5490,s5344,s5495,s5395,s5442,s5473,s5465]) ).
cnf(s5501,plain,
spl0_54,
inference(rat,[],[s63,s5500]) ).
cnf(s5503,plain,
spl0_246,
inference(rat,[],[s5139,s5500]) ).
cnf(s5507,plain,
spl0_68,
inference(rat,[],[s2183,s2086,s4305,s5138,s5495,s5442,s5503,s5500]) ).
cnf(s5509,plain,
~ spl0_164,
inference(rat,[],[s1790,s5473,s5507]) ).
cnf(s5513,plain,
~ spl0_195,
inference(rat,[],[s3260,s5495,s5473,s5509]) ).
cnf(s5514,plain,
~ spl0_72,
inference(rat,[],[s2183,s5442,s5495,s5509]) ).
cnf(s5527,plain,
spl0_200,
inference(rat,[],[s2409,s5490,s5513]) ).
cnf(s5533,plain,
$false,
inference(rat,[],[s2907,s5501,s5514,s5527]) ).
thf(f53931,plain,
$false,
inference(avatar_sat_refutation,[],[s5533]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA154^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n005.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 19:04:46 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running higher-order theorem proving
% 0.10/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.43 % (2073802)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.62/0.43 % (2073807)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=593391303:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.62/0.43 % (2073809)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=445832990:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.62/0.43 % (2073808)lrs+10_16_si=on:nwc=1.5:random_seed=385126591:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.62/0.43 % (2073810)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=1200064847: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)
% 0.62/0.43 % (2073813)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.62/0.43 % (2073813)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
% 0.62/0.43 % (2073813)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=2360471842:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.62/0.43 % (2073809)Instruction limit reached!
% 0.62/0.43 % (2073809)------------------------------
% 0.62/0.43 % (2073809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.43 % (2073809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.43 % (2073809)CaDiCaL version: 2.1.3
% 0.62/0.43 % (2073809)Termination reason: Instruction limit
% 0.62/0.43 % (2073809)Termination phase: Saturation
% 0.62/0.43 % (2073809)Time elapsed: 0.003 s
% 0.62/0.43 % (2073809)Peak memory usage: 12 MB
% 0.62/0.43 % (2073809)Instructions burned: 5 (million)
% 0.62/0.43 % (2073811)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1231266133:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.62/0.43 % (2073808)Instruction limit reached!
% 0.62/0.43 % (2073808)------------------------------
% 0.62/0.43 % (2073808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.43 % (2073808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.43 % (2073808)CaDiCaL version: 2.1.3
% 0.62/0.43 % (2073808)Termination reason: Instruction limit
% 0.62/0.43 % (2073808)Termination phase: Saturation
% 0.62/0.43 % (2073808)Time elapsed: 0.010 s
% 0.62/0.43 % (2073808)Peak memory usage: 12 MB
% 0.62/0.43 % (2073808)Instructions burned: 19 (million)
% 0.62/0.43 % (2073812)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1111441657:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.62/0.43 % (2073811)Instruction limit reached!
% 0.62/0.43 % (2073811)------------------------------
% 0.62/0.43 % (2073811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.43 % (2073811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.43 % (2073811)CaDiCaL version: 2.1.3
% 0.62/0.43 % (2073811)Termination reason: Instruction limit
% 0.62/0.43 % (2073811)Termination phase: Saturation
% 0.62/0.43 % (2073811)Time elapsed: 0.012 s
% 0.62/0.43 % (2073811)Peak memory usage: 12 MB
% 0.62/0.43 % (2073811)Instructions burned: 26 (million)
% 0.62/0.43 % (2073820)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1260473298:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.43 % (2073820)Instruction limit reached!
% 0.62/0.43 % (2073820)------------------------------
% 0.62/0.43 % (2073820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.43 % (2073820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.43 % (2073820)CaDiCaL version: 2.1.3
% 0.62/0.43 % (2073820)Termination reason: Instruction limit
% 0.62/0.43 % (2073820)Termination phase: Saturation
% 0.62/0.43 % (2073820)Time elapsed: 0.003 s
% 0.62/0.43 % (2073820)Peak memory usage: 12 MB
% 0.62/0.43 % (2073820)Instructions burned: 5 (million)
% 0.62/0.43 % (2073823)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.45 % (2073823)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4288236291:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.62/0.45 % (2073807)Instruction limit reached!
% 0.62/0.45 % (2073807)------------------------------
% 0.62/0.45 % (2073807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2073807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2073807)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2073807)Termination reason: Instruction limit
% 0.62/0.45 % (2073807)Termination phase: Saturation
% 0.62/0.45 % (2073807)Time elapsed: 0.037 s
% 0.62/0.45 % (2073807)Peak memory usage: 12 MB
% 0.62/0.45 % (2073807)Instructions burned: 87 (million)
% 0.62/0.45 % (2073823)Instruction limit reached!
% 0.62/0.45 % (2073823)------------------------------
% 0.62/0.45 % (2073823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2073823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2073823)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2073823)Termination reason: Instruction limit
% 0.62/0.45 % (2073823)Termination phase: Saturation
% 0.62/0.45 % (2073823)Time elapsed: 0.004 s
% 0.62/0.45 % (2073823)Peak memory usage: 12 MB
% 0.62/0.45 % (2073823)Instructions burned: 7 (million)
% 0.62/0.45 % (2073821)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2076770392:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.62/0.45 % (2073825)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2503879740:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.62/0.45 % (2073821)Instruction limit reached!
% 0.62/0.45 % (2073821)------------------------------
% 0.62/0.45 % (2073821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2073821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2073821)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2073821)Termination reason: Instruction limit
% 0.62/0.45 % (2073821)Termination phase: Saturation
% 0.62/0.45 % (2073821)Time elapsed: 0.006 s
% 0.62/0.45 % (2073821)Peak memory usage: 11 MB
% 0.62/0.45 % (2073821)Instructions burned: 5 (million)
% 0.62/0.45 % (2073827)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
% 0.62/0.45 % (2073827)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.45 % (2073825)Instruction limit reached!
% 0.62/0.45 % (2073825)------------------------------
% 0.62/0.45 % (2073825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2073825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2073825)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2073825)Termination reason: Instruction limit
% 0.62/0.45 % (2073825)Termination phase: Saturation
% 0.62/0.45 % (2073825)Time elapsed: 0.008 s
% 0.62/0.45 % (2073825)Peak memory usage: 12 MB
% 0.62/0.45 % (2073825)Instructions burned: 13 (million)
% 0.62/0.45 % (2073827)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1289285111:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.62/0.45 % (2073813)Instruction limit reached!
% 0.62/0.45 % (2073813)------------------------------
% 0.62/0.45 % (2073813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (2073813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (2073813)CaDiCaL version: 2.1.3
% 0.62/0.45 % (2073813)Termination reason: Instruction limit
% 0.62/0.45 % (2073813)Termination phase: Saturation
% 0.62/0.45 % (2073813)Time elapsed: 0.056 s
% 0.62/0.45 % (2073813)Peak memory usage: 12 MB
% 0.62/0.45 % (2073813)Instructions burned: 159 (million)
% 0.62/0.45 % (2073828)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=1376074220:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.62/0.45 % (2073832)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.62/0.49 % (2073827)Instruction limit reached!
% 0.62/0.49 % (2073827)------------------------------
% 0.62/0.49 % (2073827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.49 % (2073827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.49 % (2073827)CaDiCaL version: 2.1.3
% 0.62/0.49 % (2073827)Termination reason: Instruction limit
% 0.62/0.49 % (2073827)Termination phase: Saturation
% 0.62/0.49 % (2073827)Time elapsed: 0.013 s
% 0.62/0.49 % (2073827)Peak memory usage: 12 MB
% 0.62/0.49 % (2073827)Instructions burned: 28 (million)
% 0.62/0.49 % (2073832)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=4119950868:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.49 % (2073832)Instruction limit reached!
% 0.62/0.49 % (2073832)------------------------------
% 0.62/0.49 % (2073832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.49 % (2073832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.49 % (2073832)CaDiCaL version: 2.1.3
% 0.62/0.49 % (2073832)Termination reason: Instruction limit
% 0.62/0.49 % (2073832)Termination phase: Saturation
% 0.62/0.49 % (2073832)Time elapsed: 0.002 s
% 0.62/0.49 % (2073832)Peak memory usage: 11 MB
% 0.62/0.49 % (2073832)Instructions burned: 3 (million)
% 0.62/0.49 % (2073812)Instruction limit reached!
% 0.62/0.49 % (2073812)------------------------------
% 0.62/0.49 % (2073812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.49 % (2073812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.49 % (2073812)CaDiCaL version: 2.1.3
% 0.62/0.49 % (2073812)Termination reason: Instruction limit
% 0.62/0.49 % (2073812)Termination phase: Saturation
% 0.62/0.49 % (2073812)Time elapsed: 0.063 s
% 0.62/0.49 % (2073812)Peak memory usage: 12 MB
% 0.62/0.49 % (2073812)Instructions burned: 75 (million)
% 0.62/0.49 % (2073831)lrs+10_1_si=on:cs=on:random_seed=3956585789:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.62/0.49 % (2073836)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=7253077:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.62/0.49 % (2073836)Refutation not found, incomplete strategy
% 0.62/0.49 % (2073836)------------------------------
% 0.62/0.49 % (2073836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.49 % (2073836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.49 % (2073836)CaDiCaL version: 2.1.3
% 0.62/0.49 % (2073836)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.49 % (2073836)Time elapsed: 0.001 s
% 0.62/0.49 % (2073836)Peak memory usage: 11 MB
% 0.62/0.49 % (2073836)------------------------------
% 0.62/0.49 % (2073836)------------------------------
% 0.62/0.49 % (2073834)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=91729738:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.62/0.49 % (2073834)Refutation not found, incomplete strategy
% 0.62/0.49 % (2073834)------------------------------
% 0.62/0.49 % (2073834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.49 % (2073834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.49 % (2073834)CaDiCaL version: 2.1.3
% 0.62/0.49 % (2073834)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.49 % (2073834)Time elapsed: 0.0000 s
% 0.62/0.49 % (2073834)Peak memory usage: 11 MB
% 0.62/0.49 % (2073834)------------------------------
% 0.62/0.49 % (2073834)------------------------------
% 0.62/0.49 % (2073831)Instruction limit reached!
% 0.62/0.49 % (2073831)------------------------------
% 0.62/0.49 % (2073831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.49 % (2073831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.49 % (2073831)CaDiCaL version: 2.1.3
% 0.62/0.49 % (2073831)Termination reason: Instruction limit
% 0.62/0.49 % (2073831)Termination phase: Saturation
% 0.62/0.49 % (2073831)Time elapsed: 0.009 s
% 0.62/0.49 % (2073831)Peak memory usage: 12 MB
% 0.62/0.49 % (2073831)Instructions burned: 8 (million)
% 0.62/0.49 % (2073828)Instruction limit reached!
% 0.62/0.49 % (2073828)------------------------------
% 0.62/0.49 % (2073828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.49 % (2073828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (2073828)CaDiCaL version: 2.1.3
% 1.42/0.54 % (2073828)Termination reason: Instruction limit
% 1.42/0.54 % (2073828)Termination phase: Saturation
% 1.42/0.54 % (2073828)Time elapsed: 0.040 s
% 1.42/0.54 % (2073828)Peak memory usage: 12 MB
% 1.42/0.54 % (2073828)Instructions burned: 86 (million)
% 1.42/0.54 % (2073838)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=110575062:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.42/0.54 % (2073838)Refutation not found, incomplete strategy
% 1.42/0.54 % (2073838)------------------------------
% 1.42/0.54 % (2073838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (2073838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (2073838)CaDiCaL version: 2.1.3
% 1.42/0.54 % (2073838)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.54 % (2073838)Time elapsed: 0.001 s
% 1.42/0.54 % (2073839)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3854080383:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.42/0.54 % (2073842)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3146826709:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.42/0.54 % (2073844)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1099168287:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.42/0.54 % (2073842)Refutation not found, incomplete strategy
% 1.42/0.54 % (2073842)------------------------------
% 1.42/0.54 % (2073842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (2073842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (2073842)CaDiCaL version: 2.1.3
% 1.42/0.54 % (2073842)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.54 % (2073842)Time elapsed: 0.001 s
% 1.42/0.54 % (2073842)Peak memory usage: 11 MB
% 1.42/0.54 % (2073838)Peak memory usage: 11 MB
% 1.42/0.54 % (2073838)------------------------------
% 1.42/0.54 % (2073838)------------------------------
% 1.42/0.54 % (2073842)------------------------------
% 1.42/0.54 % (2073842)------------------------------
% 1.42/0.54 % (2073845)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2951709987: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 % (2073845)Refutation not found, incomplete strategy
% 1.42/0.54 % (2073845)------------------------------
% 1.42/0.54 % (2073845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (2073845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (2073845)CaDiCaL version: 2.1.3
% 1.42/0.54 % (2073845)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.54 % (2073845)Time elapsed: 0.0000 s
% 1.42/0.54 % (2073845)Peak memory usage: 11 MB
% 1.42/0.54 % (2073845)------------------------------
% 1.42/0.54 % (2073845)------------------------------
% 1.42/0.54 % (2073844)Instruction limit reached!
% 1.42/0.54 % (2073844)------------------------------
% 1.42/0.54 % (2073844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (2073844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (2073844)CaDiCaL version: 2.1.3
% 1.42/0.54 % (2073844)Termination reason: Instruction limit
% 1.42/0.54 % (2073844)Termination phase: Saturation
% 1.42/0.54 % (2073844)Time elapsed: 0.008 s
% 1.42/0.54 % (2073844)Peak memory usage: 12 MB
% 1.42/0.54 % (2073844)Instructions burned: 15 (million)
% 1.42/0.54 % (2073839)Instruction limit reached!
% 1.42/0.54 % (2073839)------------------------------
% 1.42/0.54 % (2073839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (2073839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (2073839)CaDiCaL version: 2.1.3
% 1.42/0.54 % (2073839)Termination reason: Instruction limit
% 1.42/0.54 % (2073839)Termination phase: Saturation
% 1.42/0.54 % (2073839)Time elapsed: 0.015 s
% 1.42/0.54 % (2073839)Peak memory usage: 12 MB
% 1.42/0.54 % (2073839)Instructions burned: 15 (million)
% 1.42/0.54 % (2073846)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2362536636:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.42/0.57 % (2073851)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2044719442:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.42/0.57 % (2073852)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=615213244:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.42/0.57 % (2073854)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
% 1.42/0.57 % (2073854)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.42/0.57 % (2073851)Instruction limit reached!
% 1.42/0.57 % (2073851)------------------------------
% 1.42/0.57 % (2073851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (2073851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (2073851)CaDiCaL version: 2.1.3
% 1.42/0.57 % (2073851)Termination reason: Instruction limit
% 1.42/0.57 % (2073851)Termination phase: Saturation
% 1.42/0.57 % (2073851)Time elapsed: 0.010 s
% 1.42/0.57 % (2073851)Peak memory usage: 11 MB
% 1.42/0.57 % (2073851)Instructions burned: 23 (million)
% 1.42/0.57 % (2073846)Instruction limit reached!
% 1.42/0.57 % (2073846)------------------------------
% 1.42/0.57 % (2073846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (2073846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (2073846)CaDiCaL version: 2.1.3
% 1.42/0.57 % (2073846)Termination reason: Instruction limit
% 1.42/0.57 % (2073846)Termination phase: Saturation
% 1.42/0.57 % (2073846)Time elapsed: 0.014 s
% 1.42/0.57 % (2073846)Peak memory usage: 12 MB
% 1.42/0.57 % (2073846)Instructions burned: 28 (million)
% 1.42/0.57 % (2073855)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.42/0.57 % (2073854)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=1071714138:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.42/0.57 % (2073855)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=1429297561:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.42/0.57 % (2073861)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3702478669:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.42/0.57 % (2073855)Instruction limit reached!
% 1.42/0.57 % (2073855)------------------------------
% 1.42/0.57 % (2073855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (2073855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (2073855)CaDiCaL version: 2.1.3
% 1.42/0.57 % (2073855)Termination reason: Instruction limit
% 1.42/0.57 % (2073855)Termination phase: Saturation
% 1.42/0.57 % (2073855)Time elapsed: 0.009 s
% 1.42/0.57 % (2073855)Peak memory usage: 12 MB
% 1.42/0.57 % (2073855)Instructions burned: 9 (million)
% 1.42/0.57 % (2073854)Instruction limit reached!
% 1.42/0.57 % (2073854)------------------------------
% 1.42/0.57 % (2073854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (2073854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (2073854)CaDiCaL version: 2.1.3
% 1.42/0.57 % (2073854)Termination reason: Instruction limit
% 1.42/0.57 % (2073854)Termination phase: Saturation
% 1.42/0.57 % (2073854)Time elapsed: 0.015 s
% 1.42/0.57 % (2073854)Peak memory usage: 12 MB
% 1.42/0.57 % (2073854)Instructions burned: 14 (million)
% 1.42/0.57 % (2073852)Instruction limit reached!
% 1.42/0.57 % (2073852)------------------------------
% 1.42/0.57 % (2073852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (2073852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (2073852)CaDiCaL version: 2.1.3
% 1.42/0.57 % (2073852)Termination reason: Instruction limit
% 1.42/0.57 % (2073852)Termination phase: Saturation
% 1.42/0.57 % (2073852)Time elapsed: 0.023 s
% 1.42/0.57 % (2073852)Peak memory usage: 12 MB
% 1.42/0.57 % (2073852)Instructions burned: 60 (million)
% 1.42/0.57 % (2073860)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2261670130:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.98/0.63 % (2073861)Instruction limit reached!
% 1.98/0.63 % (2073861)------------------------------
% 1.98/0.63 % (2073861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.63 % (2073861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.63 % (2073861)CaDiCaL version: 2.1.3
% 1.98/0.63 % (2073861)Termination reason: Instruction limit
% 1.98/0.63 % (2073861)Termination phase: Saturation
% 1.98/0.63 % (2073861)Time elapsed: 0.014 s
% 1.98/0.63 % (2073861)Peak memory usage: 11 MB
% 1.98/0.63 % (2073861)Instructions burned: 23 (million)
% 1.98/0.63 % (2073857)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=1417289256:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.98/0.63 % (2073860)Instruction limit reached!
% 1.98/0.63 % (2073860)------------------------------
% 1.98/0.63 % (2073860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.63 % (2073860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.63 % (2073860)CaDiCaL version: 2.1.3
% 1.98/0.63 % (2073860)Termination reason: Instruction limit
% 1.98/0.63 % (2073860)Termination phase: Saturation
% 1.98/0.63 % (2073860)Time elapsed: 0.012 s
% 1.98/0.63 % (2073860)Peak memory usage: 12 MB
% 1.98/0.63 % (2073860)Instructions burned: 7 (million)
% 1.98/0.63 % (2073866)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3479409666:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.98/0.63 % (2073870)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1220654477:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.98/0.63 % (2073870)Refutation not found, incomplete strategy
% 1.98/0.63 % (2073870)------------------------------
% 1.98/0.63 % (2073870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.63 % (2073870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.63 % (2073870)CaDiCaL version: 2.1.3
% 1.98/0.63 % (2073870)Termination reason: Refutation not found, incomplete strategy
% 1.98/0.63 % (2073870)Time elapsed: 0.001 s
% 1.98/0.63 % (2073870)Peak memory usage: 11 MB
% 1.98/0.63 % (2073870)------------------------------
% 1.98/0.63 % (2073870)------------------------------
% 1.98/0.63 % (2073865)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1168720980:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.98/0.63 % (2073867)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1723208260:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.98/0.63 % (2073810)Instruction limit reached!
% 1.98/0.63 % (2073810)------------------------------
% 1.98/0.63 % (2073810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.63 % (2073810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.63 % (2073810)CaDiCaL version: 2.1.3
% 1.98/0.63 % (2073810)Termination reason: Instruction limit
% 1.98/0.63 % (2073810)Termination phase: Saturation
% 1.98/0.63 % (2073810)Time elapsed: 0.212 s
% 1.98/0.63 % (2073810)Peak memory usage: 13 MB
% 1.98/0.63 % (2073810)Instructions burned: 637 (million)
% 1.98/0.63 % (2073857)Instruction limit reached!
% 1.98/0.63 % (2073857)------------------------------
% 1.98/0.63 % (2073857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.63 % (2073857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.63 % (2073857)CaDiCaL version: 2.1.3
% 1.98/0.63 % (2073857)Termination reason: Instruction limit
% 1.98/0.63 % (2073857)Termination phase: Saturation
% 1.98/0.63 % (2073857)Time elapsed: 0.034 s
% 1.98/0.63 % (2073857)Peak memory usage: 12 MB
% 1.98/0.63 % (2073857)Instructions burned: 33 (million)
% 1.98/0.63 % (2073871)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2838902343:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.98/0.63 % (2073874)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.98/0.63 % (2073874)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=748293667:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.31/0.71 % (2073865)Instruction limit reached!
% 2.31/0.71 % (2073865)------------------------------
% 2.31/0.71 % (2073865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.71 % (2073865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.71 % (2073865)CaDiCaL version: 2.1.3
% 2.31/0.71 % (2073865)Termination reason: Instruction limit
% 2.31/0.71 % (2073865)Termination phase: Saturation
% 2.31/0.71 % (2073865)Time elapsed: 0.018 s
% 2.31/0.71 % (2073865)Peak memory usage: 12 MB
% 2.31/0.71 % (2073865)Instructions burned: 20 (million)
% 2.31/0.71 % (2073874)Instruction limit reached!
% 2.31/0.71 % (2073874)------------------------------
% 2.31/0.71 % (2073874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.71 % (2073874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.71 % (2073874)CaDiCaL version: 2.1.3
% 2.31/0.71 % (2073874)Termination reason: Instruction limit
% 2.31/0.71 % (2073874)Termination phase: Saturation
% 2.31/0.71 % (2073874)Time elapsed: 0.005 s
% 2.31/0.71 % (2073874)Peak memory usage: 12 MB
% 2.31/0.71 % (2073874)Instructions burned: 8 (million)
% 2.31/0.71 % (2073877)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=4025593980:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.31/0.71 % (2073877)Refutation not found, incomplete strategy
% 2.31/0.71 % (2073877)------------------------------
% 2.31/0.71 % (2073877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.71 % (2073877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.71 % (2073877)CaDiCaL version: 2.1.3
% 2.31/0.71 % (2073877)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.71 % (2073877)Time elapsed: 0.001 s
% 2.31/0.71 % (2073877)Peak memory usage: 12 MB
% 2.31/0.71 % (2073877)------------------------------
% 2.31/0.71 % (2073877)------------------------------
% 2.31/0.71 % (2073882)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2342582654:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.31/0.71 % (2073878)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=3342086009: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)
% 2.31/0.71 % (2073878)Refutation not found, incomplete strategy
% 2.31/0.71 % (2073878)------------------------------
% 2.31/0.71 % (2073878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.71 % (2073878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.71 % (2073878)CaDiCaL version: 2.1.3
% 2.31/0.71 % (2073878)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.71 % (2073878)Time elapsed: 0.001 s
% 2.31/0.71 % (2073878)Peak memory usage: 11 MB
% 2.31/0.71 % (2073881)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.31/0.71 % (2073884)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2781005413:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.31/0.71 % (2073878)------------------------------
% 2.31/0.71 % (2073878)------------------------------
% 2.31/0.71 % (2073884)Refutation not found, incomplete strategy
% 2.31/0.71 % (2073884)------------------------------
% 2.31/0.71 % (2073884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.71 % (2073884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.71 % (2073884)CaDiCaL version: 2.1.3
% 2.31/0.71 % (2073884)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.71 % (2073884)Time elapsed: 0.002 s
% 2.31/0.71 % (2073884)Peak memory usage: 12 MB
% 2.31/0.71 % (2073884)Instructions burned: 3 (million)
% 2.31/0.71 % (2073884)------------------------------
% 2.31/0.71 % (2073884)------------------------------
% 2.31/0.71 % (2073871)Instruction limit reached!
% 2.31/0.71 % (2073871)------------------------------
% 2.31/0.71 % (2073871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.71 % (2073871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.71 % (2073871)CaDiCaL version: 2.1.3
% 2.31/0.77 % (2073871)Termination reason: Instruction limit
% 2.31/0.77 % (2073871)Termination phase: Saturation
% 2.31/0.77 % (2073871)Time elapsed: 0.036 s
% 2.31/0.77 % (2073871)Peak memory usage: 12 MB
% 2.31/0.77 % (2073871)Instructions burned: 43 (million)
% 2.31/0.77 % (2073881)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=862140274:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.31/0.77 % (2073881)Refutation not found, incomplete strategy
% 2.31/0.77 % (2073881)------------------------------
% 2.31/0.77 % (2073881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.77 % (2073881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.77 % (2073881)CaDiCaL version: 2.1.3
% 2.31/0.77 % (2073881)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.77 % (2073881)Time elapsed: 0.001 s
% 2.31/0.77 % (2073881)Peak memory usage: 11 MB
% 2.31/0.77 % (2073881)Instructions burned: 2 (million)
% 2.31/0.77 % (2073881)------------------------------
% 2.31/0.77 % (2073881)------------------------------
% 2.31/0.77 % (2073882)Instruction limit reached!
% 2.31/0.77 % (2073882)------------------------------
% 2.31/0.77 % (2073882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.77 % (2073882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.77 % (2073882)CaDiCaL version: 2.1.3
% 2.31/0.77 % (2073882)Termination reason: Instruction limit
% 2.31/0.77 % (2073882)Termination phase: Saturation
% 2.31/0.77 % (2073882)Time elapsed: 0.018 s
% 2.31/0.77 % (2073882)Peak memory usage: 12 MB
% 2.31/0.77 % (2073882)Instructions burned: 22 (million)
% 2.31/0.77 % (2073889)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=3468490141: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)
% 2.31/0.77 % (2073888)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=2717994241:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.31/0.77 % (2073867)Instruction limit reached!
% 2.31/0.77 % (2073867)------------------------------
% 2.31/0.77 % (2073867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.77 % (2073867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.77 % (2073867)CaDiCaL version: 2.1.3
% 2.31/0.77 % (2073867)Termination reason: Instruction limit
% 2.31/0.77 % (2073867)Termination phase: Saturation
% 2.31/0.77 % (2073867)Time elapsed: 0.078 s
% 2.31/0.77 % (2073867)Peak memory usage: 12 MB
% 2.31/0.77 % (2073867)Instructions burned: 145 (million)
% 2.31/0.77 % (2073890)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=2830844128: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)
% 2.31/0.77 % (2073892)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3873092528:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.31/0.77 % (2073892)Refutation not found, incomplete strategy
% 2.31/0.77 % (2073892)------------------------------
% 2.31/0.77 % (2073892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.77 % (2073892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.77 % (2073892)CaDiCaL version: 2.1.3
% 2.31/0.77 % (2073892)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.77 % (2073892)Time elapsed: 0.001 s
% 2.31/0.77 % (2073892)Peak memory usage: 11 MB
% 2.31/0.77 % (2073892)Instructions burned: 1 (million)
% 2.31/0.77 % (2073892)------------------------------
% 2.31/0.77 % (2073892)------------------------------
% 2.31/0.77 % (2073896)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.31/0.77 % (2073896)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1823105485:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.31/0.77 % (2073893)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3675836407:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.73/0.82 % (2073890)Instruction limit reached!
% 2.73/0.82 % (2073890)------------------------------
% 2.73/0.82 % (2073890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.82 % (2073890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.82 % (2073890)CaDiCaL version: 2.1.3
% 2.73/0.82 % (2073890)Termination reason: Instruction limit
% 2.73/0.82 % (2073890)Termination phase: Saturation
% 2.73/0.82 % (2073890)Time elapsed: 0.040 s
% 2.73/0.82 % (2073890)Peak memory usage: 12 MB
% 2.73/0.82 % (2073890)Instructions burned: 45 (million)
% 2.73/0.82 % (2073893)Instruction limit reached!
% 2.73/0.82 % (2073893)------------------------------
% 2.73/0.82 % (2073893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.82 % (2073893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.82 % (2073893)CaDiCaL version: 2.1.3
% 2.73/0.82 % (2073893)Termination reason: Instruction limit
% 2.73/0.82 % (2073893)Termination phase: Saturation
% 2.73/0.82 % (2073893)Time elapsed: 0.024 s
% 2.73/0.82 % (2073893)Peak memory usage: 12 MB
% 2.73/0.82 % (2073893)Instructions burned: 22 (million)
% 2.73/0.82 % (2073899)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=42475313:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.73/0.82 % (2073899)Instruction limit reached!
% 2.73/0.82 % (2073899)------------------------------
% 2.73/0.82 % (2073899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.82 % (2073899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.82 % (2073899)CaDiCaL version: 2.1.3
% 2.73/0.82 % (2073899)Termination reason: Instruction limit
% 2.73/0.82 % (2073899)Termination phase: Saturation
% 2.73/0.82 % (2073899)Time elapsed: 0.017 s
% 2.73/0.82 % (2073899)Peak memory usage: 12 MB
% 2.73/0.82 % (2073899)Instructions burned: 15 (million)
% 2.73/0.82 % (2073902)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=2908430832:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.73/0.82 % (2073904)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2496642198:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.73/0.82 % (2073896)Instruction limit reached!
% 2.73/0.82 % (2073896)------------------------------
% 2.73/0.82 % (2073896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.82 % (2073896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.82 % (2073896)CaDiCaL version: 2.1.3
% 2.73/0.82 % (2073896)Termination reason: Instruction limit
% 2.73/0.82 % (2073896)Termination phase: Saturation
% 2.73/0.82 % (2073896)Time elapsed: 0.071 s
% 2.73/0.82 % (2073896)Peak memory usage: 12 MB
% 2.73/0.82 % (2073896)Instructions burned: 201 (million)
% 2.73/0.82 % (2073904)Refutation not found, incomplete strategy
% 2.73/0.82 % (2073904)------------------------------
% 2.73/0.82 % (2073904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.82 % (2073904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.82 % (2073904)CaDiCaL version: 2.1.3
% 2.73/0.82 % (2073904)Termination reason: Refutation not found, incomplete strategy
% 2.73/0.82 % (2073904)Time elapsed: 0.005 s
% 2.73/0.82 % (2073904)Peak memory usage: 11 MB
% 2.73/0.82 % (2073904)Instructions burned: 1 (million)
% 2.73/0.82 % (2073904)------------------------------
% 2.73/0.82 % (2073904)------------------------------
% 2.73/0.82 % (2073902)Instruction limit reached!
% 2.73/0.82 % (2073902)------------------------------
% 2.73/0.82 % (2073902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.82 % (2073905)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=359514137:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.73/0.82 % (2073902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.82 % (2073902)CaDiCaL version: 2.1.3
% 2.73/0.82 % (2073902)Termination reason: Instruction limit
% 2.73/0.82 % (2073902)Termination phase: Saturation
% 2.73/0.82 % (2073902)Time elapsed: 0.031 s
% 2.73/0.82 % (2073902)Peak memory usage: 12 MB
% 2.73/0.82 % (2073902)Instructions burned: 66 (million)
% 2.73/0.82 % (2073908)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2514620633:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.73/0.88 % (2073909)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=395714912:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.73/0.88 % (2073905)Instruction limit reached!
% 2.73/0.88 % (2073905)------------------------------
% 2.73/0.88 % (2073905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.88 % (2073905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.88 % (2073905)CaDiCaL version: 2.1.3
% 2.73/0.88 % (2073905)Termination reason: Instruction limit
% 2.73/0.88 % (2073905)Termination phase: Saturation
% 2.73/0.88 % (2073905)Time elapsed: 0.016 s
% 2.73/0.88 % (2073905)Peak memory usage: 12 MB
% 2.73/0.88 % (2073905)Instructions burned: 33 (million)
% 2.73/0.88 % (2073911)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1702095798:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 2.73/0.88 % (2073911)Refutation not found, incomplete strategy
% 2.73/0.88 % (2073911)------------------------------
% 2.73/0.88 % (2073911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.88 % (2073911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.88 % (2073911)CaDiCaL version: 2.1.3
% 2.73/0.88 % (2073911)Termination reason: Refutation not found, incomplete strategy
% 2.73/0.88 % (2073911)Time elapsed: 0.001 s
% 2.73/0.88 % (2073911)Peak memory usage: 11 MB
% 2.73/0.88 % (2073911)Instructions burned: 1 (million)
% 2.73/0.88 % (2073911)------------------------------
% 2.73/0.88 % (2073911)------------------------------
% 2.73/0.88 % (2073914)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.73/0.88 % (2073909)Instruction limit reached!
% 2.73/0.88 % (2073909)------------------------------
% 2.73/0.88 % (2073909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.88 % (2073909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.88 % (2073909)CaDiCaL version: 2.1.3
% 2.73/0.88 % (2073909)Termination reason: Instruction limit
% 2.73/0.88 % (2073909)Termination phase: Saturation
% 2.73/0.88 % (2073909)Time elapsed: 0.018 s
% 2.73/0.88 % (2073909)Peak memory usage: 12 MB
% 2.73/0.88 % (2073909)Instructions burned: 35 (million)
% 2.73/0.88 % (2073914)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1989854359:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 2.73/0.88 % (2073916)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3354546979:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 2.73/0.88 % (2073916)Refutation not found, incomplete strategy
% 2.73/0.88 % (2073916)------------------------------
% 2.73/0.88 % (2073916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.88 % (2073916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.88 % (2073916)CaDiCaL version: 2.1.3
% 2.73/0.88 % (2073916)Termination reason: Refutation not found, incomplete strategy
% 2.73/0.88 % (2073916)Time elapsed: 0.001 s
% 2.73/0.88 % (2073916)Peak memory usage: 11 MB
% 2.73/0.88 % (2073916)------------------------------
% 2.73/0.88 % (2073916)------------------------------
% 2.73/0.88 % (2073917)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=748595484:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 2.73/0.88 % (2073908)Instruction limit reached!
% 2.73/0.88 % (2073908)------------------------------
% 2.73/0.88 % (2073908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.88 % (2073908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.88 % (2073908)CaDiCaL version: 2.1.3
% 2.73/0.88 % (2073908)Termination reason: Instruction limit
% 2.73/0.88 % (2073908)Termination phase: Saturation
% 2.73/0.88 % (2073908)Time elapsed: 0.048 s
% 2.73/0.88 % (2073908)Peak memory usage: 12 MB
% 2.73/0.88 % (2073908)Instructions burned: 139 (million)
% 2.73/0.88 % (2073920)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=114446838:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 2.73/0.88 % (2073920)Refutation not found, incomplete strategy
% 2.73/0.88 % (2073920)------------------------------
% 2.73/0.88 % (2073920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.96 % (2073920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.96 % (2073920)CaDiCaL version: 2.1.3
% 3.50/0.96 % (2073920)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.96 % (2073920)Time elapsed: 0.001 s
% 3.50/0.96 % (2073920)Peak memory usage: 11 MB
% 3.50/0.96 % (2073920)------------------------------
% 3.50/0.96 % (2073920)------------------------------
% 3.50/0.96 % (2073922)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=167487892:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.50/0.96 % (2073922)Refutation not found, incomplete strategy
% 3.50/0.96 % (2073922)------------------------------
% 3.50/0.96 % (2073922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.96 % (2073922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.96 % (2073922)CaDiCaL version: 2.1.3
% 3.50/0.96 % (2073922)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.96 % (2073922)Time elapsed: 0.001 s
% 3.50/0.96 % (2073922)Peak memory usage: 11 MB
% 3.50/0.96 % (2073922)------------------------------
% 3.50/0.96 % (2073922)------------------------------
% 3.50/0.96 % (2073924)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1125513322:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.50/0.96 % (2073924)Refutation not found, incomplete strategy
% 3.50/0.96 % (2073924)------------------------------
% 3.50/0.96 % (2073924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.96 % (2073924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.96 % (2073924)CaDiCaL version: 2.1.3
% 3.50/0.96 % (2073924)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.96 % (2073924)Time elapsed: 0.002 s
% 3.50/0.96 % (2073924)Peak memory usage: 12 MB
% 3.50/0.96 % (2073924)------------------------------
% 3.50/0.96 % (2073924)------------------------------
% 3.50/0.96 % (2073917)Instruction limit reached!
% 3.50/0.96 % (2073917)------------------------------
% 3.50/0.96 % (2073917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.96 % (2073917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.96 % (2073917)CaDiCaL version: 2.1.3
% 3.50/0.96 % (2073917)Termination reason: Instruction limit
% 3.50/0.96 % (2073917)Termination phase: Saturation
% 3.50/0.96 % (2073917)Time elapsed: 0.042 s
% 3.50/0.96 % (2073917)Peak memory usage: 12 MB
% 3.50/0.96 % (2073917)Instructions burned: 97 (million)
% 3.50/0.96 % (2073926)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3042487782:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 3.50/0.96 % (2073926)Refutation not found, incomplete strategy
% 3.50/0.96 % (2073926)------------------------------
% 3.50/0.96 % (2073926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.96 % (2073926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.96 % (2073926)CaDiCaL version: 2.1.3
% 3.50/0.96 % (2073926)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.96 % (2073926)Time elapsed: 0.001 s
% 3.50/0.96 % (2073926)Peak memory usage: 11 MB
% 3.50/0.96 % (2073926)Instructions burned: 2 (million)
% 3.50/0.96 % (2073926)------------------------------
% 3.50/0.96 % (2073926)------------------------------
% 3.50/0.96 % (2073928)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1155771242:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.50/0.96 % (2073888)Instruction limit reached!
% 3.50/0.96 % (2073888)------------------------------
% 3.50/0.96 % (2073888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.96 % (2073888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.96 % (2073888)CaDiCaL version: 2.1.3
% 3.50/0.96 % (2073888)Termination reason: Instruction limit
% 3.50/0.96 % (2073888)Termination phase: Saturation
% 3.50/0.96 % (2073888)Time elapsed: 0.222 s
% 3.50/0.96 % (2073888)Peak memory usage: 13 MB
% 3.50/0.96 % (2073888)Instructions burned: 317 (million)
% 3.50/0.96 % (2073929)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=43806145:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.50/0.96 % (2073929)Refutation not found, incomplete strategy
% 3.50/0.96 % (2073929)------------------------------
% 3.50/1.04 % (2073929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/1.04 % (2073929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.04 % (2073929)CaDiCaL version: 2.1.3
% 3.50/1.04 % (2073929)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.04 % (2073929)Time elapsed: 0.001 s
% 3.50/1.04 % (2073929)Peak memory usage: 12 MB
% 3.50/1.04 % (2073929)Instructions burned: 1 (million)
% 3.50/1.04 % (2073929)------------------------------
% 3.50/1.04 % (2073929)------------------------------
% 3.50/1.04 % (2073914)Instruction limit reached!
% 3.50/1.04 % (2073914)------------------------------
% 3.50/1.04 % (2073914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/1.04 % (2073914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.04 % (2073914)CaDiCaL version: 2.1.3
% 3.50/1.04 % (2073914)Termination reason: Instruction limit
% 3.50/1.04 % (2073914)Termination phase: Saturation
% 3.50/1.04 % (2073914)Time elapsed: 0.080 s
% 3.50/1.04 % (2073914)Peak memory usage: 12 MB
% 3.50/1.04 % (2073914)Instructions burned: 182 (million)
% 3.50/1.04 % (2073931)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3488548716:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.50/1.04 % (2073928)Instruction limit reached!
% 3.50/1.04 % (2073928)------------------------------
% 3.50/1.04 % (2073928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/1.04 % (2073928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.04 % (2073928)CaDiCaL version: 2.1.3
% 3.50/1.04 % (2073928)Termination reason: Instruction limit
% 3.50/1.04 % (2073928)Termination phase: Saturation
% 3.50/1.04 % (2073928)Time elapsed: 0.026 s
% 3.50/1.04 % (2073928)Peak memory usage: 12 MB
% 3.50/1.04 % (2073928)Instructions burned: 46 (million)
% 3.50/1.04 % (2073935)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=3038141706:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.50/1.04 % (2073936)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=2948683307: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_2994 on theBenchmark for (2994ds/105Mi)
% 3.50/1.04 % (2073934)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1091159169:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.50/1.04 % (2073938)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=3785787708:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 3.50/1.04 % (2073938)Refutation not found, incomplete strategy
% 3.50/1.04 % (2073938)------------------------------
% 3.50/1.04 % (2073938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/1.04 % (2073938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.04 % (2073938)CaDiCaL version: 2.1.3
% 3.50/1.04 % (2073938)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.04 % (2073938)Time elapsed: 0.001 s
% 3.50/1.04 % (2073938)Peak memory usage: 12 MB
% 3.50/1.04 % (2073938)Instructions burned: 1 (million)
% 3.50/1.04 % (2073938)------------------------------
% 3.50/1.04 % (2073938)------------------------------
% 3.50/1.04 % (2073935)Instruction limit reached!
% 3.50/1.04 % (2073935)------------------------------
% 3.50/1.04 % (2073935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/1.04 % (2073935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.04 % (2073935)CaDiCaL version: 2.1.3
% 3.50/1.04 % (2073935)Termination reason: Instruction limit
% 3.50/1.04 % (2073935)Termination phase: Saturation
% 3.50/1.04 % (2073935)Time elapsed: 0.034 s
% 3.50/1.04 % (2073935)Peak memory usage: 12 MB
% 3.50/1.04 % (2073935)Instructions burned: 67 (million)
% 3.50/1.04 % (2073943)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=426309313:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 4.92/1.13 % (2073943)Refutation not found, incomplete strategy
% 4.92/1.13 % (2073943)------------------------------
% 4.92/1.13 % (2073943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.13 % (2073943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.13 % (2073943)CaDiCaL version: 2.1.3
% 4.92/1.13 % (2073943)Termination reason: Refutation not found, incomplete strategy
% 4.92/1.13 % (2073943)Time elapsed: 0.001 s
% 4.92/1.13 % (2073943)Peak memory usage: 11 MB
% 4.92/1.13 % (2073943)------------------------------
% 4.92/1.13 % (2073943)------------------------------
% 4.92/1.13 % (2073944)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3093102503:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 4.92/1.13 % (2073936)Instruction limit reached!
% 4.92/1.13 % (2073936)------------------------------
% 4.92/1.13 % (2073936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.13 % (2073936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.13 % (2073936)CaDiCaL version: 2.1.3
% 4.92/1.13 % (2073936)Termination reason: Instruction limit
% 4.92/1.13 % (2073936)Termination phase: Saturation
% 4.92/1.13 % (2073936)Time elapsed: 0.053 s
% 4.92/1.13 % (2073936)Peak memory usage: 12 MB
% 4.92/1.13 % (2073936)Instructions burned: 105 (million)
% 4.92/1.13 % (2073946)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=3678372205:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 4.92/1.13 % (2073934)Instruction limit reached!
% 4.92/1.13 % (2073934)------------------------------
% 4.92/1.13 % (2073934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.13 % (2073934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.13 % (2073934)CaDiCaL version: 2.1.3
% 4.92/1.13 % (2073934)Termination reason: Instruction limit
% 4.92/1.13 % (2073934)Termination phase: Saturation
% 4.92/1.13 % (2073934)Time elapsed: 0.074 s
% 4.92/1.13 % (2073934)Peak memory usage: 12 MB
% 4.92/1.13 % (2073934)Instructions burned: 95 (million)
% 4.92/1.13 % (2073948)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=928171769:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/91Mi)
% 4.92/1.13 % (2073946)Instruction limit reached!
% 4.92/1.13 % (2073946)------------------------------
% 4.92/1.13 % (2073946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.13 % (2073946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.13 % (2073946)CaDiCaL version: 2.1.3
% 4.92/1.13 % (2073946)Termination reason: Instruction limit
% 4.92/1.13 % (2073946)Termination phase: Saturation
% 4.92/1.13 % (2073946)Time elapsed: 0.030 s
% 4.92/1.13 % (2073946)Peak memory usage: 12 MB
% 4.92/1.13 % (2073946)Instructions burned: 35 (million)
% 4.92/1.13 % (2073866)Instruction limit reached!
% 4.92/1.13 % (2073866)------------------------------
% 4.92/1.13 % (2073866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.13 % (2073866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.13 % (2073866)CaDiCaL version: 2.1.3
% 4.92/1.13 % (2073866)Termination reason: Instruction limit
% 4.92/1.13 % (2073866)Termination phase: Saturation
% 4.92/1.13 % (2073866)Time elapsed: 0.440 s
% 4.92/1.13 % (2073866)Peak memory usage: 13 MB
% 4.92/1.13 % (2073866)Instructions burned: 1242 (million)
% 4.92/1.13 % (2073950)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=877834517: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)
% 4.92/1.13 % (2073950)Refutation not found, incomplete strategy
% 4.92/1.13 % (2073950)------------------------------
% 4.92/1.13 % (2073950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.13 % (2073950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.13 % (2073950)CaDiCaL version: 2.1.3
% 4.92/1.13 % (2073950)Termination reason: Refutation not found, incomplete strategy
% 4.92/1.13 % (2073950)Time elapsed: 0.001 s
% 4.92/1.13 % (2073950)Peak memory usage: 12 MB
% 4.92/1.13 % (2073950)------------------------------
% 4.92/1.13 % (2073950)------------------------------
% 4.92/1.13 % (2073952)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1185950468:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 5.62/1.24 % (2073955)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3672525266:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/28Mi)
% 5.62/1.24 % (2073955)Refutation not found, incomplete strategy
% 5.62/1.24 % (2073955)------------------------------
% 5.62/1.24 % (2073955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.24 % (2073955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.24 % (2073955)CaDiCaL version: 2.1.3
% 5.62/1.24 % (2073955)Termination reason: Refutation not found, incomplete strategy
% 5.62/1.24 % (2073955)Time elapsed: 0.001 s
% 5.62/1.24 % (2073955)Peak memory usage: 11 MB
% 5.62/1.24 % (2073955)------------------------------
% 5.62/1.24 % (2073955)------------------------------
% 5.62/1.24 % (2073952)Instruction limit reached!
% 5.62/1.24 % (2073952)------------------------------
% 5.62/1.24 % (2073952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.24 % (2073952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.24 % (2073952)CaDiCaL version: 2.1.3
% 5.62/1.24 % (2073952)Termination reason: Instruction limit
% 5.62/1.24 % (2073952)Termination phase: Saturation
% 5.62/1.24 % (2073952)Time elapsed: 0.013 s
% 5.62/1.24 % (2073952)Peak memory usage: 12 MB
% 5.62/1.24 % (2073952)Instructions burned: 27 (million)
% 5.62/1.24 % (2073954)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=1949853782:i=338:bd=all:ins=4:rtra=on_2993 on theBenchmark for (2993ds/338Mi)
% 5.62/1.24 % (2073958)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.62/1.24 % (2073958)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3134192512:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/137Mi)
% 5.62/1.24 % (2073959)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=2797385657:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/340Mi)
% 5.62/1.24 % (2073931)Instruction limit reached!
% 5.62/1.24 % (2073931)------------------------------
% 5.62/1.24 % (2073931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.24 % (2073931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.24 % (2073931)CaDiCaL version: 2.1.3
% 5.62/1.24 % (2073931)Termination reason: Instruction limit
% 5.62/1.24 % (2073931)Termination phase: Saturation
% 5.62/1.24 % (2073931)Time elapsed: 0.171 s
% 5.62/1.24 % (2073931)Peak memory usage: 12 MB
% 5.62/1.24 % (2073931)Instructions burned: 452 (million)
% 5.62/1.24 % (2073948)Instruction limit reached!
% 5.62/1.24 % (2073948)------------------------------
% 5.62/1.24 % (2073948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.24 % (2073948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.24 % (2073948)CaDiCaL version: 2.1.3
% 5.62/1.24 % (2073948)Termination reason: Instruction limit
% 5.62/1.24 % (2073948)Termination phase: Saturation
% 5.62/1.24 % (2073948)Time elapsed: 0.067 s
% 5.62/1.24 % (2073948)Peak memory usage: 12 MB
% 5.62/1.24 % (2073948)Instructions burned: 92 (million)
% 5.62/1.24 % (2073963)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=626361420:i=227:sd=1:bd=all:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/227Mi)
% 5.62/1.24 % (2073963)Refutation not found, incomplete strategy
% 5.62/1.24 % (2073963)------------------------------
% 5.62/1.24 % (2073963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.24 % (2073963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.24 % (2073963)CaDiCaL version: 2.1.3
% 5.62/1.24 % (2073963)Termination reason: Refutation not found, incomplete strategy
% 5.62/1.24 % (2073963)Time elapsed: 0.001 s
% 5.62/1.24 % (2073963)Peak memory usage: 11 MB
% 5.62/1.24 % (2073963)------------------------------
% 5.62/1.24 % (2073963)------------------------------
% 5.62/1.24 % (2073964)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.62/1.24 % (2073966)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=267723831:i=116:ep=RSTC:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/116Mi)
% 5.62/1.29 % (2073964)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3184018548:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/373Mi)
% 5.62/1.29 % (2073889)Instruction limit reached!
% 5.62/1.29 % (2073889)------------------------------
% 5.62/1.29 % (2073889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.29 % (2073889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.29 % (2073889)CaDiCaL version: 2.1.3
% 5.62/1.29 % (2073889)Termination reason: Instruction limit
% 5.62/1.29 % (2073889)Termination phase: Saturation
% 5.62/1.29 % (2073889)Time elapsed: 0.468 s
% 5.62/1.29 % (2073889)Peak memory usage: 13 MB
% 5.62/1.29 % (2073889)Instructions burned: 854 (million)
% 5.62/1.29 % (2073970)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2294979887:i=575:rtra=on_2992 on theBenchmark for (2992ds/575Mi)
% 5.62/1.29 % (2073970)Refutation not found, incomplete strategy
% 5.62/1.29 % (2073970)------------------------------
% 5.62/1.29 % (2073970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.29 % (2073970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.29 % (2073970)CaDiCaL version: 2.1.3
% 5.62/1.29 % (2073970)Termination reason: Refutation not found, incomplete strategy
% 5.62/1.29 % (2073970)Time elapsed: 0.001 s
% 5.62/1.29 % (2073970)Peak memory usage: 12 MB
% 5.62/1.29 % (2073970)Instructions burned: 1 (million)
% 5.62/1.29 % (2073970)------------------------------
% 5.62/1.29 % (2073970)------------------------------
% 5.62/1.29 % (2073966)Instruction limit reached!
% 5.62/1.29 % (2073966)------------------------------
% 5.62/1.29 % (2073966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.29 % (2073966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.29 % (2073966)CaDiCaL version: 2.1.3
% 5.62/1.29 % (2073966)Termination reason: Instruction limit
% 5.62/1.29 % (2073966)Termination phase: Saturation
% 5.62/1.29 % (2073966)Time elapsed: 0.049 s
% 5.62/1.29 % (2073966)Peak memory usage: 12 MB
% 5.62/1.29 % (2073966)Instructions burned: 117 (million)
% 5.62/1.29 % (2073958)Instruction limit reached!
% 5.62/1.29 % (2073958)------------------------------
% 5.62/1.29 % (2073958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.29 % (2073958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.29 % (2073958)CaDiCaL version: 2.1.3
% 5.62/1.29 % (2073958)Termination reason: Instruction limit
% 5.62/1.29 % (2073958)Termination phase: Saturation
% 5.62/1.29 % (2073958)Time elapsed: 0.106 s
% 5.62/1.29 % (2073958)Peak memory usage: 12 MB
% 5.62/1.29 % (2073958)Instructions burned: 137 (million)
% 5.62/1.29 % (2073972)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=260301202: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)
% 5.62/1.29 % (2073973)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=2013201287: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)
% 5.62/1.29 % (2073974)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=629443400:i=421:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/421Mi)
% 5.62/1.29 % (2073944)Instruction limit reached!
% 5.62/1.29 % (2073944)------------------------------
% 5.62/1.29 % (2073944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.29 % (2073944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.29 % (2073944)CaDiCaL version: 2.1.3
% 5.62/1.29 % (2073944)Termination reason: Instruction limit
% 5.62/1.29 % (2073944)Termination phase: Saturation
% 5.62/1.29 % (2073944)Time elapsed: 0.236 s
% 5.62/1.29 % (2073944)Peak memory usage: 12 MB
% 5.62/1.29 % (2073944)Instructions burned: 497 (million)
% 5.62/1.29 % (2073974)Refutation not found, incomplete strategy
% 5.62/1.29 % (2073974)------------------------------
% 5.62/1.29 % (2073974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.29 % (2073974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.32 % (2073974)CaDiCaL version: 2.1.3
% 6.24/1.32 % (2073974)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.32 % (2073974)Time elapsed: 0.001 s
% 6.24/1.32 % (2073974)Peak memory usage: 12 MB
% 6.24/1.32 % (2073974)------------------------------
% 6.24/1.32 % (2073974)------------------------------
% 6.24/1.32 % (2073959)Instruction limit reached!
% 6.24/1.32 % (2073959)------------------------------
% 6.24/1.32 % (2073959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.32 % (2073959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.32 % (2073959)CaDiCaL version: 2.1.3
% 6.24/1.32 % (2073959)Termination reason: Instruction limit
% 6.24/1.32 % (2073959)Termination phase: Saturation
% 6.24/1.32 % (2073959)Time elapsed: 0.155 s
% 6.24/1.32 % (2073959)Peak memory usage: 13 MB
% 6.24/1.32 % (2073959)Instructions burned: 341 (million)
% 6.24/1.32 % (2073978)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 6.24/1.32 % (2073980)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 6.24/1.32 % (2073980)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
% 6.24/1.32 % (2073979)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2130596682:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/31Mi)
% 6.24/1.32 % (2073978)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=4207418863:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/270Mi)
% 6.24/1.32 % (2073980)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=2509132696:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2991 on theBenchmark for (2991ds/1440Mi)
% 6.24/1.32 % (2073979)Instruction limit reached!
% 6.24/1.32 % (2073979)------------------------------
% 6.24/1.32 % (2073979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.32 % (2073979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.32 % (2073979)CaDiCaL version: 2.1.3
% 6.24/1.32 % (2073979)Termination reason: Instruction limit
% 6.24/1.32 % (2073979)Termination phase: Saturation
% 6.24/1.32 % (2073979)Time elapsed: 0.034 s
% 6.24/1.32 % (2073979)Peak memory usage: 12 MB
% 6.24/1.32 % (2073979)Instructions burned: 33 (million)
% 6.24/1.32 % (2073984)dis+10_2_sil=128000:si=on:random_seed=2058479191:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2990 on theBenchmark for (2990ds/339Mi)
% 6.24/1.32 % (2073984)Refutation not found, incomplete strategy
% 6.24/1.32 % (2073984)------------------------------
% 6.24/1.32 % (2073984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.32 % (2073984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.32 % (2073984)CaDiCaL version: 2.1.3
% 6.24/1.32 % (2073984)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.32 % (2073984)Time elapsed: 0.0000 s
% 6.24/1.32 % (2073984)Peak memory usage: 11 MB
% 6.24/1.32 % (2073984)------------------------------
% 6.24/1.32 % (2073984)------------------------------
% 6.24/1.32 % (2073972)Instruction limit reached!
% 6.24/1.32 % (2073972)------------------------------
% 6.24/1.32 % (2073972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.32 % (2073972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.32 % (2073972)CaDiCaL version: 2.1.3
% 6.24/1.32 % (2073972)Termination reason: Instruction limit
% 6.24/1.32 % (2073972)Termination phase: Saturation
% 6.24/1.32 % (2073972)Time elapsed: 0.122 s
% 6.24/1.32 % (2073972)Peak memory usage: 12 MB
% 6.24/1.32 % (2073972)Instructions burned: 272 (million)
% 6.24/1.32 % (2073986)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2627222546:i=111:add=on:fgj=on:rtra=on:fdi=1024_2990 on theBenchmark for (2990ds/111Mi)
% 6.24/1.32 % (2073987)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=2954903843: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)
% 6.42/1.43 % (2073987)Refutation not found, incomplete strategy
% 6.42/1.43 % (2073987)------------------------------
% 6.42/1.43 % (2073987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.43 % (2073987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.43 % (2073987)CaDiCaL version: 2.1.3
% 6.42/1.43 % (2073987)Termination reason: Refutation not found, incomplete strategy
% 6.42/1.43 % (2073987)Time elapsed: 0.001 s
% 6.42/1.43 % (2073987)Peak memory usage: 11 MB
% 6.42/1.43 % (2073987)------------------------------
% 6.42/1.43 % (2073987)------------------------------
% 6.42/1.43 % (2073954)Instruction limit reached!
% 6.42/1.43 % (2073954)------------------------------
% 6.42/1.43 % (2073954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.43 % (2073954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.43 % (2073954)CaDiCaL version: 2.1.3
% 6.42/1.43 % (2073954)Termination reason: Instruction limit
% 6.42/1.43 % (2073954)Termination phase: Saturation
% 6.42/1.43 % (2073954)Time elapsed: 0.266 s
% 6.42/1.43 % (2073954)Peak memory usage: 14 MB
% 6.42/1.43 % (2073954)Instructions burned: 338 (million)
% 6.42/1.43 % (2073964)Instruction limit reached!
% 6.42/1.43 % (2073964)------------------------------
% 6.42/1.43 % (2073964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.43 % (2073964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.43 % (2073964)CaDiCaL version: 2.1.3
% 6.42/1.43 % (2073964)Termination reason: Instruction limit
% 6.42/1.43 % (2073964)Termination phase: Saturation
% 6.42/1.43 % (2073964)Time elapsed: 0.216 s
% 6.42/1.43 % (2073964)Peak memory usage: 12 MB
% 6.42/1.43 % (2073964)Instructions burned: 375 (million)
% 6.42/1.43 % (2073990)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=1534511628:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/136Mi)
% 6.42/1.43 % (2073990)Refutation not found, incomplete strategy
% 6.42/1.43 % (2073990)------------------------------
% 6.42/1.43 % (2073990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.43 % (2073990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.43 % (2073990)CaDiCaL version: 2.1.3
% 6.42/1.43 % (2073990)Termination reason: Refutation not found, incomplete strategy
% 6.42/1.43 % (2073990)Time elapsed: 0.001 s
% 6.42/1.43 % (2073990)Peak memory usage: 11 MB
% 6.42/1.43 % (2073990)Instructions burned: 1 (million)
% 6.42/1.43 % (2073990)------------------------------
% 6.42/1.43 % (2073990)------------------------------
% 6.42/1.43 % (2073992)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=1076102015:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2990 on theBenchmark for (2990ds/1254Mi)
% 6.42/1.43 % (2073992)Refutation not found, incomplete strategy
% 6.42/1.43 % (2073992)------------------------------
% 6.42/1.43 % (2073992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.43 % (2073992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.43 % (2073992)CaDiCaL version: 2.1.3
% 6.42/1.43 % (2073992)Termination reason: Refutation not found, incomplete strategy
% 6.42/1.43 % (2073992)Time elapsed: 0.002 s
% 6.42/1.43 % (2073992)Peak memory usage: 11 MB
% 6.42/1.43 % (2073992)Instructions burned: 3 (million)
% 6.42/1.43 % (2073992)------------------------------
% 6.42/1.43 % (2073992)------------------------------
% 6.42/1.43 % (2073991)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2905961352:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/232Mi)
% 6.42/1.43 % (2073991)Refutation not found, incomplete strategy
% 6.42/1.43 % (2073991)------------------------------
% 6.42/1.43 % (2073991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.43 % (2073991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.43 % (2073991)CaDiCaL version: 2.1.3
% 6.42/1.43 % (2073991)Termination reason: Refutation not found, incomplete strategy
% 6.42/1.43 % (2073991)Time elapsed: 0.001 s
% 6.42/1.43 % (2073991)Peak memory usage: 11 MB
% 6.42/1.43 % (2073991)------------------------------
% 6.42/1.43 % (2073991)------------------------------
% 6.42/1.43 % (2073994)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.91/1.58 % (2073994)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=3052812134:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2990 on theBenchmark for (2990ds/281Mi)
% 6.91/1.58 % (2073978)Instruction limit reached!
% 6.91/1.58 % (2073978)------------------------------
% 6.91/1.58 % (2073978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.58 % (2073978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.58 % (2073978)CaDiCaL version: 2.1.3
% 6.91/1.58 % (2073978)Termination reason: Instruction limit
% 6.91/1.58 % (2073978)Termination phase: Saturation
% 6.91/1.58 % (2073978)Time elapsed: 0.126 s
% 6.91/1.58 % (2073978)Peak memory usage: 13 MB
% 6.91/1.58 % (2073978)Instructions burned: 272 (million)
% 6.91/1.58 % (2073996)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2264308007:i=619:add=on:rtra=on_2989 on theBenchmark for (2989ds/619Mi)
% 6.91/1.58 % (2073986)Instruction limit reached!
% 6.91/1.58 % (2073986)------------------------------
% 6.91/1.58 % (2073986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.58 % (2073986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.58 % (2073986)CaDiCaL version: 2.1.3
% 6.91/1.58 % (2073986)Termination reason: Instruction limit
% 6.91/1.58 % (2073986)Termination phase: Saturation
% 6.91/1.58 % (2073986)Time elapsed: 0.052 s
% 6.91/1.58 % (2073986)Peak memory usage: 12 MB
% 6.91/1.58 % (2073986)Instructions burned: 113 (million)
% 6.91/1.58 % (2073996)Refutation not found, incomplete strategy
% 6.91/1.58 % (2073996)------------------------------
% 6.91/1.58 % (2073996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.58 % (2073996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.58 % (2073996)CaDiCaL version: 2.1.3
% 6.91/1.58 % (2073996)Termination reason: Refutation not found, incomplete strategy
% 6.91/1.58 % (2073996)Time elapsed: 0.003 s
% 6.91/1.58 % (2073996)Peak memory usage: 12 MB
% 6.91/1.58 % (2073996)Instructions burned: 3 (million)
% 6.91/1.58 % (2073996)------------------------------
% 6.91/1.58 % (2073996)------------------------------
% 6.91/1.58 % (2073998)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=1958963603:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/865Mi)
% 6.91/1.58 % (2074000)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2945290393:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/212Mi)
% 6.91/1.58 % (2074000)Refutation not found, incomplete strategy
% 6.91/1.58 % (2074000)------------------------------
% 6.91/1.58 % (2074000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.58 % (2074000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.58 % (2074000)CaDiCaL version: 2.1.3
% 6.91/1.58 % (2074000)Termination reason: Refutation not found, incomplete strategy
% 6.91/1.58 % (2074000)Time elapsed: 0.001 s
% 6.91/1.58 % (2074000)Peak memory usage: 11 MB
% 6.91/1.58 % (2074000)------------------------------
% 6.91/1.58 % (2074000)------------------------------
% 6.91/1.58 % (2074002)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=774448317:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/130Mi)
% 6.91/1.58 % (2074002)Refutation not found, incomplete strategy
% 6.91/1.58 % (2074002)------------------------------
% 6.91/1.58 % (2074002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.58 % (2074002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.58 % (2074002)CaDiCaL version: 2.1.3
% 6.91/1.58 % (2074002)Termination reason: Refutation not found, incomplete strategy
% 6.91/1.58 % (2074002)Time elapsed: 0.001 s
% 6.91/1.58 % (2074002)Peak memory usage: 11 MB
% 6.91/1.58 % (2074002)------------------------------
% 6.91/1.58 % (2074002)------------------------------
% 6.91/1.58 % (2074003)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=545934438:st=1.5:i=346:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/346Mi)
% 6.91/1.58 % (2074003)Refutation not found, incomplete strategy
% 6.91/1.58 % (2074003)------------------------------
% 6.91/1.58 % (2074003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.88 % (2074003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.88 % (2074003)CaDiCaL version: 2.1.3
% 7.74/1.88 % (2074003)Termination reason: Refutation not found, incomplete strategy
% 7.74/1.88 % (2074003)Time elapsed: 0.001 s
% 7.74/1.88 % (2074003)Peak memory usage: 11 MB
% 7.74/1.88 % (2074003)Instructions burned: 1 (million)
% 7.74/1.88 % (2074003)------------------------------
% 7.74/1.88 % (2074003)------------------------------
% 7.74/1.88 % (2074007)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=757841642:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/152Mi)
% 7.74/1.88 % (2074008)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2672459077:i=75:ep=R:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/75Mi)
% 7.74/1.88 % (2074010)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=672087366:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/387Mi)
% 7.74/1.88 % (2074010)Refutation not found, incomplete strategy
% 7.74/1.88 % (2074010)------------------------------
% 7.74/1.88 % (2074010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.88 % (2074010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.88 % (2074010)CaDiCaL version: 2.1.3
% 7.74/1.88 % (2074010)Termination reason: Refutation not found, incomplete strategy
% 7.74/1.88 % (2074010)Time elapsed: 0.001 s
% 7.74/1.88 % (2074010)Peak memory usage: 11 MB
% 7.74/1.88 % (2074010)Instructions burned: 1 (million)
% 7.74/1.88 % (2074010)------------------------------
% 7.74/1.88 % (2074010)------------------------------
% 7.74/1.88 % (2074014)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=3486486916:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2989 on theBenchmark for (2989ds/148Mi)
% 7.74/1.88 % (2074008)Instruction limit reached!
% 7.74/1.88 % (2074008)------------------------------
% 7.74/1.88 % (2074008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.88 % (2074008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.88 % (2074008)CaDiCaL version: 2.1.3
% 7.74/1.88 % (2074008)Termination reason: Instruction limit
% 7.74/1.88 % (2074008)Termination phase: Saturation
% 7.74/1.88 % (2074008)Time elapsed: 0.037 s
% 7.74/1.88 % (2074008)Peak memory usage: 12 MB
% 7.74/1.88 % (2074008)Instructions burned: 76 (million)
% 7.74/1.88 % (2074016)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3834351313:i=161:piset=and:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/161Mi)
% 7.74/1.88 % (2074007)Instruction limit reached!
% 7.74/1.88 % (2074007)------------------------------
% 7.74/1.88 % (2074007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.88 % (2074007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.88 % (2074007)CaDiCaL version: 2.1.3
% 7.74/1.88 % (2074007)Termination reason: Instruction limit
% 7.74/1.88 % (2074007)Termination phase: Saturation
% 7.74/1.88 % (2074007)Time elapsed: 0.072 s
% 7.74/1.88 % (2074007)Peak memory usage: 12 MB
% 7.74/1.88 % (2074007)Instructions burned: 152 (million)
% 7.74/1.88 % (2073994)Instruction limit reached!
% 7.74/1.88 % (2073994)------------------------------
% 7.74/1.88 % (2073994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.88 % (2073994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.88 % (2073994)CaDiCaL version: 2.1.3
% 7.74/1.88 % (2073994)Termination reason: Instruction limit
% 7.74/1.88 % (2073994)Termination phase: Saturation
% 7.74/1.88 % (2073994)Time elapsed: 0.130 s
% 7.74/1.88 % (2073994)Peak memory usage: 13 MB
% 7.74/1.88 % (2073994)Instructions burned: 282 (million)
% 7.74/1.88 % (2074014)Instruction limit reached!
% 7.74/1.88 % (2074014)------------------------------
% 7.74/1.88 % (2074014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.88 % (2074014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.88 % (2074014)CaDiCaL version: 2.1.3
% 7.74/1.88 % (2074014)Termination reason: Instruction limit
% 7.74/1.88 % (2074014)Termination phase: Saturation
% 7.74/1.88 % (2074014)Time elapsed: 0.067 s
% 7.74/1.88 % (2074014)Peak memory usage: 12 MB
% 7.74/1.88 % (2074014)Instructions burned: 148 (million)
% 9.04/2.02 % (2074018)lrs+10_1_sil=128000:si=on:random_seed=3166023260:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/888Mi)
% 9.04/2.02 % (2074018)Refutation not found, incomplete strategy
% 9.04/2.02 % (2074018)------------------------------
% 9.04/2.02 % (2074018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/2.02 % (2074018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.02 % (2074018)CaDiCaL version: 2.1.3
% 9.04/2.02 % (2074018)Termination reason: Refutation not found, incomplete strategy
% 9.04/2.02 % (2074018)Time elapsed: 0.005 s
% 9.04/2.02 % (2074018)Peak memory usage: 11 MB
% 9.04/2.02 % (2074018)------------------------------
% 9.04/2.02 % (2074018)------------------------------
% 9.04/2.02 % (2074019)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=2492008615:i=136:add=on:ins=4:rtra=on:sup=off_2988 on theBenchmark for (2988ds/136Mi)
% 9.04/2.02 % (2074021)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=1447509865:i=88:s2at=3:nm=2:rtra=on:rawr=on_2988 on theBenchmark for (2988ds/88Mi)
% 9.04/2.02 % (2074016)Instruction limit reached!
% 9.04/2.02 % (2074016)------------------------------
% 9.04/2.02 % (2074016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/2.02 % (2074016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.02 % (2074016)CaDiCaL version: 2.1.3
% 9.04/2.02 % (2074016)Termination reason: Instruction limit
% 9.04/2.02 % (2074016)Termination phase: Saturation
% 9.04/2.02 % (2074016)Time elapsed: 0.064 s
% 9.04/2.02 % (2074016)Peak memory usage: 12 MB
% 9.04/2.02 % (2074016)Instructions burned: 164 (million)
% 9.04/2.02 % (2074022)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3639911293:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2988 on theBenchmark for (2988ds/93Mi)
% 9.04/2.02 % (2074025)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2928319104:i=2186:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/2186Mi)
% 9.04/2.02 % (2074021)Instruction limit reached!
% 9.04/2.02 % (2074021)------------------------------
% 9.04/2.02 % (2074021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/2.02 % (2074021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.02 % (2074021)CaDiCaL version: 2.1.3
% 9.04/2.02 % (2074021)Termination reason: Instruction limit
% 9.04/2.02 % (2074021)Termination phase: Saturation
% 9.04/2.02 % (2074021)Time elapsed: 0.040 s
% 9.04/2.02 % (2074021)Peak memory usage: 12 MB
% 9.04/2.02 % (2074021)Instructions burned: 89 (million)
% 9.04/2.02 % (2074019)Instruction limit reached!
% 9.04/2.02 % (2074019)------------------------------
% 9.04/2.02 % (2074019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/2.02 % (2074019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.02 % (2074019)CaDiCaL version: 2.1.3
% 9.04/2.02 % (2074019)Termination reason: Instruction limit
% 9.04/2.02 % (2074019)Termination phase: Saturation
% 9.04/2.02 % (2074019)Time elapsed: 0.062 s
% 9.04/2.02 % (2074019)Peak memory usage: 12 MB
% 9.04/2.02 % (2074019)Instructions burned: 137 (million)
% 9.04/2.02 % (2074028)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1550814288:s2a=on:i=240:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/240Mi)
% 9.04/2.02 % (2074029)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2190193847:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/805Mi)
% 9.04/2.02 % (2074022)Instruction limit reached!
% 9.04/2.02 % (2074022)------------------------------
% 9.04/2.02 % (2074022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.04/2.02 % (2074022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.02 % (2074022)CaDiCaL version: 2.1.3
% 9.04/2.02 % (2074022)Termination reason: Instruction limit
% 9.04/2.02 % (2074022)Termination phase: Saturation
% 9.04/2.02 % (2074022)Time elapsed: 0.078 s
% 9.04/2.02 % (2074022)Peak memory usage: 12 MB
% 9.04/2.02 % (2074022)Instructions burned: 93 (million)
% 9.04/2.02 % (2074032)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 12.51/2.22 % (2074032)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=147132766:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2987 on theBenchmark for (2987ds/391Mi)
% 12.51/2.22 % (2074032)Refutation not found, incomplete strategy
% 12.51/2.22 % (2074032)------------------------------
% 12.51/2.22 % (2074032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.22 % (2074032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.22 % (2074032)CaDiCaL version: 2.1.3
% 12.51/2.22 % (2074032)Termination reason: Refutation not found, incomplete strategy
% 12.51/2.22 % (2074032)Time elapsed: 0.002 s
% 12.51/2.22 % (2074032)Peak memory usage: 11 MB
% 12.51/2.22 % (2074032)Instructions burned: 2 (million)
% 12.51/2.22 % (2074032)------------------------------
% 12.51/2.22 % (2074032)------------------------------
% 12.51/2.22 % (2074034)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1040858993:i=355:av=off:fsr=off:rtra=on:ixr=off_2986 on theBenchmark for (2986ds/355Mi)
% 12.51/2.22 % (2074028)Instruction limit reached!
% 12.51/2.22 % (2074028)------------------------------
% 12.51/2.22 % (2074028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.22 % (2074028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.22 % (2074028)CaDiCaL version: 2.1.3
% 12.51/2.22 % (2074028)Termination reason: Instruction limit
% 12.51/2.22 % (2074028)Termination phase: Saturation
% 12.51/2.22 % (2074028)Time elapsed: 0.116 s
% 12.51/2.22 % (2074028)Peak memory usage: 12 MB
% 12.51/2.22 % (2074028)Instructions burned: 240 (million)
% 12.51/2.22 % (2074036)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2228028475:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/314Mi)
% 12.51/2.22 % (2074036)Refutation not found, incomplete strategy
% 12.51/2.22 % (2074036)------------------------------
% 12.51/2.22 % (2074036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.22 % (2074036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.22 % (2074036)CaDiCaL version: 2.1.3
% 12.51/2.22 % (2074036)Termination reason: Refutation not found, incomplete strategy
% 12.51/2.22 % (2074036)Time elapsed: 0.005 s
% 12.51/2.22 % (2074036)Peak memory usage: 11 MB
% 12.51/2.22 % (2074036)------------------------------
% 12.51/2.22 % (2074036)------------------------------
% 12.51/2.22 % (2074038)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1511281370:s2a=on:i=251:fsr=off:rtra=on_2985 on theBenchmark for (2985ds/251Mi)
% 12.51/2.22 % (2073998)Instruction limit reached!
% 12.51/2.22 % (2073998)------------------------------
% 12.51/2.22 % (2073998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.22 % (2073998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.22 % (2073998)CaDiCaL version: 2.1.3
% 12.51/2.22 % (2073998)Termination reason: Instruction limit
% 12.51/2.22 % (2073998)Termination phase: Saturation
% 12.51/2.22 % (2073998)Time elapsed: 0.437 s
% 12.51/2.22 % (2073998)Peak memory usage: 15 MB
% 12.51/2.22 % (2073998)Instructions burned: 867 (million)
% 12.51/2.22 % (2074040)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=896068127: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)
% 12.51/2.22 % (2074034)Instruction limit reached!
% 12.51/2.22 % (2074034)------------------------------
% 12.51/2.22 % (2074034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.22 % (2074034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.22 % (2074034)CaDiCaL version: 2.1.3
% 12.51/2.22 % (2074034)Termination reason: Instruction limit
% 12.51/2.22 % (2074034)Termination phase: Saturation
% 12.51/2.22 % (2074034)Time elapsed: 0.187 s
% 12.51/2.22 % (2074034)Peak memory usage: 12 MB
% 12.51/2.22 % (2074034)Instructions burned: 356 (million)
% 12.51/2.22 % (2074042)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3045957406:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2984 on theBenchmark for (2984ds/673Mi)
% 12.51/2.22 % (2074029)Instruction limit reached!
% 13.41/2.43 % (2074029)------------------------------
% 13.41/2.43 % (2074029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.43 % (2074029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.43 % (2074029)CaDiCaL version: 2.1.3
% 13.41/2.43 % (2074029)Termination reason: Instruction limit
% 13.41/2.43 % (2074029)Termination phase: Saturation
% 13.41/2.43 % (2074029)Time elapsed: 0.352 s
% 13.41/2.43 % (2074029)Peak memory usage: 13 MB
% 13.41/2.43 % (2074029)Instructions burned: 806 (million)
% 13.41/2.43 % (2073980)Instruction limit reached!
% 13.41/2.43 % (2073980)------------------------------
% 13.41/2.43 % (2073980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.43 % (2073980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.43 % (2073980)CaDiCaL version: 2.1.3
% 13.41/2.43 % (2073980)Termination reason: Instruction limit
% 13.41/2.43 % (2073980)Termination phase: Saturation
% 13.41/2.43 % (2073980)Time elapsed: 0.725 s
% 13.41/2.43 % (2073980)Peak memory usage: 13 MB
% 13.41/2.43 % (2073980)Instructions burned: 1440 (million)
% 13.41/2.43 % (2074044)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3397675648:i=116:ep=RSTC:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/116Mi)
% 13.41/2.43 % (2074038)Instruction limit reached!
% 13.41/2.43 % (2074038)------------------------------
% 13.41/2.43 % (2074038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.43 % (2074038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.43 % (2074038)CaDiCaL version: 2.1.3
% 13.41/2.43 % (2074038)Termination reason: Instruction limit
% 13.41/2.43 % (2074038)Termination phase: Saturation
% 13.41/2.43 % (2074038)Time elapsed: 0.202 s
% 13.41/2.43 % (2074038)Peak memory usage: 12 MB
% 13.41/2.43 % (2074038)Instructions burned: 252 (million)
% 13.41/2.43 % (2074045)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2834886648:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2983 on theBenchmark for (2983ds/270Mi)
% 13.41/2.43 % (2074047)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=3775257748: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)
% 13.41/2.43 % (2074047)Instruction limit reached!
% 13.41/2.43 % (2074047)------------------------------
% 13.41/2.43 % (2074047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.43 % (2074047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.43 % (2074047)CaDiCaL version: 2.1.3
% 13.41/2.43 % (2074047)Termination reason: Instruction limit
% 13.41/2.43 % (2074047)Termination phase: Saturation
% 13.41/2.43 % (2074047)Time elapsed: 0.020 s
% 13.41/2.43 % (2074047)Peak memory usage: 11 MB
% 13.41/2.43 % (2074047)Instructions burned: 30 (million)
% 13.41/2.43 % (2074044)Instruction limit reached!
% 13.41/2.43 % (2074044)------------------------------
% 13.41/2.43 % (2074044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.43 % (2074044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.43 % (2074044)CaDiCaL version: 2.1.3
% 13.41/2.43 % (2074044)Termination reason: Instruction limit
% 13.41/2.43 % (2074044)Termination phase: Saturation
% 13.41/2.43 % (2074044)Time elapsed: 0.100 s
% 13.41/2.43 % (2074044)Peak memory usage: 12 MB
% 13.41/2.43 % (2074044)Instructions burned: 118 (million)
% 13.41/2.43 % (2074050)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 13.41/2.43 % (2074050)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3973118508:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2983 on theBenchmark for (2983ds/39Mi)
% 13.41/2.43 % (2074050)Instruction limit reached!
% 13.41/2.43 % (2074050)------------------------------
% 13.41/2.43 % (2074050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.43 % (2074050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.43 % (2074050)CaDiCaL version: 2.1.3
% 13.41/2.43 % (2074050)Termination reason: Instruction limit
% 13.41/2.43 % (2074050)Termination phase: Saturation
% 13.41/2.43 % (2074050)Time elapsed: 0.019 s
% 13.41/2.43 % (2074050)Peak memory usage: 12 MB
% 13.41/2.43 % (2074050)Instructions burned: 41 (million)
% 13.94/2.57 % (2074051)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2481348298:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2982 on theBenchmark for (2982ds/365Mi)
% 13.94/2.57 % (2074053)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2933604245:i=158:av=off:rtra=on_2982 on theBenchmark for (2982ds/158Mi)
% 13.94/2.57 % (2074045)Instruction limit reached!
% 13.94/2.57 % (2074045)------------------------------
% 13.94/2.57 % (2074045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.57 % (2074045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.57 % (2074045)CaDiCaL version: 2.1.3
% 13.94/2.57 % (2074045)Termination reason: Instruction limit
% 13.94/2.57 % (2074045)Termination phase: Saturation
% 13.94/2.57 % (2074045)Time elapsed: 0.209 s
% 13.94/2.57 % (2074045)Peak memory usage: 12 MB
% 13.94/2.57 % (2074045)Instructions burned: 271 (million)
% 13.94/2.57 % (2074056)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 13.94/2.57 % (2074056)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=1474868312:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/252Mi)
% 13.94/2.57 % (2074053)Instruction limit reached!
% 13.94/2.57 % (2074053)------------------------------
% 13.94/2.57 % (2074053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.57 % (2074053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.57 % (2074053)CaDiCaL version: 2.1.3
% 13.94/2.57 % (2074053)Termination reason: Instruction limit
% 13.94/2.57 % (2074053)Termination phase: Saturation
% 13.94/2.57 % (2074053)Time elapsed: 0.108 s
% 13.94/2.57 % (2074053)Peak memory usage: 11 MB
% 13.94/2.57 % (2074053)Instructions burned: 159 (million)
% 13.94/2.57 % (2074058)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2336474842:i=213:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/213Mi)
% 13.94/2.57 % (2074058)Refutation not found, incomplete strategy
% 13.94/2.57 % (2074058)------------------------------
% 13.94/2.57 % (2074058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.57 % (2074058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.57 % (2074058)CaDiCaL version: 2.1.3
% 13.94/2.57 % (2074058)Termination reason: Refutation not found, incomplete strategy
% 13.94/2.57 % (2074058)Time elapsed: 0.001 s
% 13.94/2.57 % (2074058)Peak memory usage: 11 MB
% 13.94/2.57 % (2074058)------------------------------
% 13.94/2.57 % (2074058)------------------------------
% 13.94/2.57 % (2074042)Instruction limit reached!
% 13.94/2.57 % (2074042)------------------------------
% 13.94/2.57 % (2074042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.57 % (2074042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.57 % (2074042)CaDiCaL version: 2.1.3
% 13.94/2.57 % (2074042)Termination reason: Instruction limit
% 13.94/2.57 % (2074042)Termination phase: Saturation
% 13.94/2.57 % (2074042)Time elapsed: 0.368 s
% 13.94/2.57 % (2074042)Peak memory usage: 12 MB
% 13.94/2.57 % (2074042)Instructions burned: 675 (million)
% 13.94/2.57 % (2074060)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=2576757226:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/160Mi)
% 13.94/2.57 % (2074060)Refutation not found, incomplete strategy
% 13.94/2.57 % (2074060)------------------------------
% 13.94/2.57 % (2074060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.57 % (2074060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.57 % (2074060)CaDiCaL version: 2.1.3
% 13.94/2.57 % (2074060)Termination reason: Refutation not found, incomplete strategy
% 13.94/2.57 % (2074060)Time elapsed: 0.001 s
% 13.94/2.57 % (2074060)Peak memory usage: 11 MB
% 13.94/2.57 % (2074060)Instructions burned: 1 (million)
% 13.94/2.57 % (2074060)------------------------------
% 13.94/2.57 % (2074060)------------------------------
% 13.94/2.57 % (2074061)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=3156155767:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/763Mi)
% 14.59/2.64 % (2074063)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 14.59/2.64 % (2074063)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=724715516:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2980 on theBenchmark for (2980ds/237Mi)
% 14.59/2.64 % (2074063)Refutation not found, incomplete strategy
% 14.59/2.64 % (2074063)------------------------------
% 14.59/2.64 % (2074063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.59/2.64 % (2074063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.59/2.64 % (2074063)CaDiCaL version: 2.1.3
% 14.59/2.64 % (2074063)Termination reason: Refutation not found, incomplete strategy
% 14.59/2.64 % (2074063)Time elapsed: 0.001 s
% 14.59/2.64 % (2074063)Peak memory usage: 11 MB
% 14.59/2.64 % (2074063)------------------------------
% 14.59/2.64 % (2074063)------------------------------
% 14.59/2.64 % (2074051)Instruction limit reached!
% 14.59/2.64 % (2074051)------------------------------
% 14.59/2.64 % (2074051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.59/2.64 % (2074051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.59/2.64 % (2074051)CaDiCaL version: 2.1.3
% 14.59/2.64 % (2074051)Termination reason: Instruction limit
% 14.59/2.64 % (2074051)Termination phase: Saturation
% 14.59/2.64 % (2074051)Time elapsed: 0.205 s
% 14.59/2.64 % (2074051)Peak memory usage: 13 MB
% 14.59/2.64 % (2074051)Instructions burned: 366 (million)
% 14.59/2.64 % (2074066)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2596810500:s2a=on:i=386:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/386Mi)
% 14.59/2.64 % (2074056)Instruction limit reached!
% 14.59/2.64 % (2074056)------------------------------
% 14.59/2.64 % (2074056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.59/2.64 % (2074056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.59/2.64 % (2074056)CaDiCaL version: 2.1.3
% 14.59/2.64 % (2074056)Termination reason: Instruction limit
% 14.59/2.64 % (2074056)Termination phase: Saturation
% 14.59/2.64 % (2074056)Time elapsed: 0.102 s
% 14.59/2.64 % (2074056)Peak memory usage: 12 MB
% 14.59/2.64 % (2074056)Instructions burned: 252 (million)
% 14.59/2.64 % (2074067)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=4096814697:i=300:piset=and:nm=32:rtra=on_2980 on theBenchmark for (2980ds/300Mi)
% 14.59/2.64 % (2074069)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=224209609:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/567Mi)
% 14.59/2.64 % (2074069)Refutation not found, incomplete strategy
% 14.59/2.64 % (2074069)------------------------------
% 14.59/2.64 % (2074069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.59/2.64 % (2074069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.59/2.64 % (2074069)CaDiCaL version: 2.1.3
% 14.59/2.64 % (2074069)Termination reason: Refutation not found, incomplete strategy
% 14.59/2.64 % (2074069)Time elapsed: 0.001 s
% 14.59/2.64 % (2074069)Peak memory usage: 12 MB
% 14.59/2.64 % (2074069)Instructions burned: 2 (million)
% 14.59/2.64 % (2074069)------------------------------
% 14.59/2.64 % (2074069)------------------------------
% 14.59/2.64 % (2074072)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1951257329:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2979 on theBenchmark for (2979ds/379Mi)
% 14.59/2.64 % (2074072)Refutation not found, incomplete strategy
% 14.59/2.64 % (2074072)------------------------------
% 14.59/2.64 % (2074072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.59/2.64 % (2074072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.59/2.64 % (2074072)CaDiCaL version: 2.1.3
% 14.59/2.64 % (2074072)Termination reason: Refutation not found, incomplete strategy
% 14.59/2.64 % (2074072)Time elapsed: 0.001 s
% 14.59/2.64 % (2074072)Peak memory usage: 11 MB
% 14.59/2.64 % (2074072)------------------------------
% 14.59/2.64 % (2074072)------------------------------
% 14.59/2.64 % (2074074)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2053481425: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)
% 14.59/2.64 % (2074025)Instruction limit reached!
% 15.28/2.74 % (2074025)------------------------------
% 15.28/2.74 % (2074025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.74 % (2074025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.74 % (2074025)CaDiCaL version: 2.1.3
% 15.28/2.74 % (2074025)Termination reason: Instruction limit
% 15.28/2.74 % (2074025)Termination phase: Saturation
% 15.28/2.74 % (2074025)Time elapsed: 0.952 s
% 15.28/2.74 % (2074025)Peak memory usage: 13 MB
% 15.28/2.74 % (2074025)Instructions burned: 2187 (million)
% 15.28/2.74 % (2074077)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3958636898:i=478:bd=all:rtra=on_2978 on theBenchmark for (2978ds/478Mi)
% 15.28/2.74 % (2074077)Refutation not found, incomplete strategy
% 15.28/2.74 % (2074077)------------------------------
% 15.28/2.74 % (2074077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.74 % (2074077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.74 % (2074077)CaDiCaL version: 2.1.3
% 15.28/2.74 % (2074077)Termination reason: Refutation not found, incomplete strategy
% 15.28/2.74 % (2074077)Time elapsed: 0.001 s
% 15.28/2.74 % (2074077)Peak memory usage: 12 MB
% 15.28/2.74 % (2074077)Instructions burned: 1 (million)
% 15.28/2.74 % (2074077)------------------------------
% 15.28/2.74 % (2074077)------------------------------
% 15.28/2.74 % (2074061)Instruction limit reached!
% 15.28/2.74 % (2074061)------------------------------
% 15.28/2.74 % (2074061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.74 % (2074061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.74 % (2074061)CaDiCaL version: 2.1.3
% 15.28/2.74 % (2074061)Termination reason: Instruction limit
% 15.28/2.74 % (2074061)Termination phase: Saturation
% 15.28/2.74 % (2074061)Time elapsed: 0.260 s
% 15.28/2.74 % (2074061)Peak memory usage: 14 MB
% 15.28/2.74 % (2074061)Instructions burned: 765 (million)
% 15.28/2.74 % (2074079)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1098634515:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2978 on theBenchmark for (2978ds/445Mi)
% 15.28/2.74 % (2074080)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3277210130:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2977 on theBenchmark for (2977ds/71Mi)
% 15.28/2.74 % (2074080)Instruction limit reached!
% 15.28/2.74 % (2074080)------------------------------
% 15.28/2.74 % (2074080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.74 % (2074080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.74 % (2074080)CaDiCaL version: 2.1.3
% 15.28/2.74 % (2074080)Termination reason: Instruction limit
% 15.28/2.74 % (2074080)Termination phase: Saturation
% 15.28/2.74 % (2074080)Time elapsed: 0.037 s
% 15.28/2.74 % (2074080)Peak memory usage: 12 MB
% 15.28/2.74 % (2074080)Instructions burned: 71 (million)
% 15.28/2.74 % (2074067)Instruction limit reached!
% 15.28/2.74 % (2074067)------------------------------
% 15.28/2.74 % (2074067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.74 % (2074067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.74 % (2074067)CaDiCaL version: 2.1.3
% 15.28/2.74 % (2074067)Termination reason: Instruction limit
% 15.28/2.74 % (2074067)Termination phase: Saturation
% 15.28/2.74 % (2074067)Time elapsed: 0.259 s
% 15.28/2.74 % (2074067)Peak memory usage: 12 MB
% 15.28/2.74 % (2074067)Instructions burned: 300 (million)
% 15.28/2.74 % (2074083)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1824732908:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/302Mi)
% 15.28/2.74 % (2074084)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=2240776185:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/4980Mi)
% 15.28/2.74 % (2074083)Refutation not found, incomplete strategy
% 15.28/2.74 % (2074083)------------------------------
% 15.28/2.74 % (2074083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.74 % (2074083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.74 % (2074083)CaDiCaL version: 2.1.3
% 15.28/2.74 % (2074083)Termination reason: Refutation not found, incomplete strategy
% 15.28/2.74 % (2074083)Time elapsed: 0.005 s
% 15.28/2.74 % (2074083)Peak memory usage: 11 MB
% 15.28/2.74 % (2074084)Refutation not found, incomplete strategy
% 15.28/2.74 % (2074084)------------------------------
% 15.28/2.74 % (2074084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.05/2.96 % (2074084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.05/2.96 % (2074084)CaDiCaL version: 2.1.3
% 16.05/2.96 % (2074084)Termination reason: Refutation not found, incomplete strategy
% 16.05/2.96 % (2074084)Time elapsed: 0.001 s
% 16.05/2.96 % (2074084)Peak memory usage: 11 MB
% 16.05/2.96 % (2074083)------------------------------
% 16.05/2.96 % (2074083)------------------------------
% 16.05/2.96 % (2074084)------------------------------
% 16.05/2.96 % (2074084)------------------------------
% 16.05/2.96 % (2074066)Instruction limit reached!
% 16.05/2.96 % (2074066)------------------------------
% 16.05/2.96 % (2074066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.05/2.96 % (2074066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.05/2.96 % (2074066)CaDiCaL version: 2.1.3
% 16.05/2.96 % (2074066)Termination reason: Instruction limit
% 16.05/2.96 % (2074066)Termination phase: Saturation
% 16.05/2.96 % (2074066)Time elapsed: 0.317 s
% 16.05/2.96 % (2074066)Peak memory usage: 12 MB
% 16.05/2.96 % (2074066)Instructions burned: 387 (million)
% 16.05/2.96 % (2074087)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
% 16.05/2.96 % (2074087)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 16.05/2.96 % (2074089)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=580939122:i=289:rtra=on_2976 on theBenchmark for (2976ds/289Mi)
% 16.05/2.96 % (2074089)Refutation not found, incomplete strategy
% 16.05/2.96 % (2074089)------------------------------
% 16.05/2.96 % (2074089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.05/2.96 % (2074089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.05/2.96 % (2074089)CaDiCaL version: 2.1.3
% 16.05/2.96 % (2074089)Termination reason: Refutation not found, incomplete strategy
% 16.05/2.96 % (2074089)Time elapsed: 0.001 s
% 16.05/2.96 % (2074089)Peak memory usage: 11 MB
% 16.05/2.96 % (2074089)Instructions burned: 1 (million)
% 16.05/2.96 % (2074089)------------------------------
% 16.05/2.96 % (2074089)------------------------------
% 16.05/2.96 % (2074088)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=1915999279:i=76:piset=equals:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/76Mi)
% 16.05/2.96 % (2074074)Instruction limit reached!
% 16.05/2.96 % (2074074)------------------------------
% 16.05/2.96 % (2074074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.05/2.96 % (2074074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.05/2.96 % (2074074)CaDiCaL version: 2.1.3
% 16.05/2.96 % (2074074)Termination reason: Instruction limit
% 16.05/2.96 % (2074074)Termination phase: Saturation
% 16.05/2.96 % (2074074)Time elapsed: 0.274 s
% 16.05/2.96 % (2074074)Peak memory usage: 12 MB
% 16.05/2.96 % (2074074)Instructions burned: 429 (million)
% 16.05/2.96 % (2074087)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3704450052:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2977 on theBenchmark for (2977ds/100Mi)
% 16.05/2.96 % (2074091)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=1837385483:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2976 on theBenchmark for (2976ds/493Mi)
% 16.05/2.96 % (2074093)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=616716566:cond=on:i=34:hud=10:nm=10:rtra=on_2976 on theBenchmark for (2976ds/34Mi)
% 16.05/2.96 % (2074088)Instruction limit reached!
% 16.05/2.96 % (2074088)------------------------------
% 16.05/2.96 % (2074088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.05/2.96 % (2074088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.05/2.96 % (2074088)CaDiCaL version: 2.1.3
% 16.05/2.96 % (2074088)Termination reason: Instruction limit
% 16.05/2.96 % (2074088)Termination phase: Saturation
% 16.05/2.96 % (2074088)Time elapsed: 0.036 s
% 16.05/2.96 % (2074088)Peak memory usage: 12 MB
% 16.05/2.96 % (2074088)Instructions burned: 78 (million)
% 16.05/3.02 % (2074093)Instruction limit reached!
% 16.05/3.02 % (2074093)------------------------------
% 16.05/3.02 % (2074093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.05/3.02 % (2074093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.05/3.02 % (2074093)CaDiCaL version: 2.1.3
% 16.05/3.02 % (2074093)Termination reason: Instruction limit
% 16.05/3.02 % (2074093)Termination phase: Saturation
% 16.05/3.02 % (2074093)Time elapsed: 0.018 s
% 16.05/3.02 % (2074093)Peak memory usage: 12 MB
% 16.05/3.02 % (2074093)Instructions burned: 35 (million)
% 16.05/3.02 % (2074087)Instruction limit reached!
% 16.05/3.02 % (2074087)------------------------------
% 16.05/3.02 % (2074087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.05/3.02 % (2074087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.05/3.02 % (2074087)CaDiCaL version: 2.1.3
% 16.05/3.02 % (2074087)Termination reason: Instruction limit
% 16.05/3.02 % (2074087)Termination phase: Saturation
% 16.05/3.02 % (2074087)Time elapsed: 0.060 s
% 16.05/3.02 % (2074087)Peak memory usage: 12 MB
% 16.05/3.02 % (2074087)Instructions burned: 101 (million)
% 16.05/3.02 % (2074097)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 16.05/3.02 % (2074097)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=4068890576:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2976 on theBenchmark for (2976ds/372Mi)
% 16.05/3.02 % (2074097)Refutation not found, incomplete strategy
% 16.05/3.02 % (2074097)------------------------------
% 16.05/3.02 % (2074097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.05/3.02 % (2074097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.05/3.02 % (2074097)CaDiCaL version: 2.1.3
% 16.05/3.02 % (2074097)Termination reason: Refutation not found, incomplete strategy
% 16.05/3.02 % (2074097)Time elapsed: 0.003 s
% 16.05/3.02 % (2074097)Peak memory usage: 11 MB
% 16.05/3.02 % (2074097)Instructions burned: 3 (million)
% 16.05/3.02 % (2074097)------------------------------
% 16.05/3.02 % (2074097)------------------------------
% 16.05/3.02 % (2074098)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=3200902155:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2976 on theBenchmark for (2976ds/670Mi)
% 16.05/3.02 % (2074099)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2093347430:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/647Mi)
% 16.05/3.02 % (2074099)Refutation not found, incomplete strategy
% 16.05/3.02 % (2074099)------------------------------
% 16.05/3.02 % (2074099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.05/3.02 % (2074099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.05/3.02 % (2074099)CaDiCaL version: 2.1.3
% 16.05/3.02 % (2074099)Termination reason: Refutation not found, incomplete strategy
% 16.05/3.02 % (2074099)Time elapsed: 0.001 s
% 16.05/3.02 % (2074099)Peak memory usage: 11 MB
% 16.05/3.02 % (2074099)------------------------------
% 16.05/3.02 % (2074099)------------------------------
% 16.05/3.02 % (2074101)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=1066454807:i=857:add=off:kws=frequency:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/857Mi)
% 16.05/3.02 % (2074079)Instruction limit reached!
% 16.05/3.02 % (2074079)------------------------------
% 16.05/3.02 % (2074079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.05/3.02 % (2074079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.05/3.02 % (2074079)CaDiCaL version: 2.1.3
% 16.05/3.02 % (2074079)Termination reason: Instruction limit
% 16.05/3.02 % (2074079)Termination phase: Saturation
% 16.05/3.02 % (2074079)Time elapsed: 0.232 s
% 16.05/3.02 % (2074079)Peak memory usage: 14 MB
% 16.05/3.02 % (2074079)Instructions burned: 446 (million)
% 16.05/3.02 % (2074104)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=3490481255:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2975 on theBenchmark for (2975ds/693Mi)
% 16.05/3.02 % (2074106)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3060855627:i=285:hud=10:bd=all:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/285Mi)
% 18.89/3.20 % (2074106)Refutation not found, incomplete strategy
% 18.89/3.20 % (2074106)------------------------------
% 18.89/3.20 % (2074106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.89/3.20 % (2074106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.20 % (2074106)CaDiCaL version: 2.1.3
% 18.89/3.20 % (2074106)Termination reason: Refutation not found, incomplete strategy
% 18.89/3.20 % (2074106)Time elapsed: 0.001 s
% 18.89/3.20 % (2074106)Peak memory usage: 11 MB
% 18.89/3.20 % (2074106)Instructions burned: 1 (million)
% 18.89/3.20 % (2074106)------------------------------
% 18.89/3.20 % (2074106)------------------------------
% 18.89/3.20 % (2074109)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 18.89/3.20 % (2074109)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=3632158391:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2975 on theBenchmark for (2975ds/52Mi)
% 18.89/3.20 % (2074109)Instruction limit reached!
% 18.89/3.20 % (2074109)------------------------------
% 18.89/3.20 % (2074109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.89/3.20 % (2074109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.20 % (2074109)CaDiCaL version: 2.1.3
% 18.89/3.20 % (2074109)Termination reason: Instruction limit
% 18.89/3.20 % (2074109)Termination phase: Saturation
% 18.89/3.20 % (2074109)Time elapsed: 0.020 s
% 18.89/3.20 % (2074109)Peak memory usage: 12 MB
% 18.89/3.20 % (2074109)Instructions burned: 52 (million)
% 18.89/3.20 % (2074111)dis+10_1_si=on:random_seed=3217521974:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2974 on theBenchmark for (2974ds/407Mi)
% 18.89/3.20 % (2074111)Refutation not found, incomplete strategy
% 18.89/3.20 % (2074111)------------------------------
% 18.89/3.20 % (2074111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.89/3.20 % (2074111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.20 % (2074111)CaDiCaL version: 2.1.3
% 18.89/3.20 % (2074111)Termination reason: Refutation not found, incomplete strategy
% 18.89/3.20 % (2074111)Time elapsed: 0.001 s
% 18.89/3.20 % (2074111)Peak memory usage: 11 MB
% 18.89/3.20 % (2074111)------------------------------
% 18.89/3.20 % (2074111)------------------------------
% 18.89/3.20 % (2074113)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=2741513290:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/2240Mi)
% 18.89/3.20 % (2074040)Instruction limit reached!
% 18.89/3.20 % (2074040)------------------------------
% 18.89/3.20 % (2074040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.89/3.20 % (2074040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.20 % (2074040)CaDiCaL version: 2.1.3
% 18.89/3.20 % (2074040)Termination reason: Instruction limit
% 18.89/3.20 % (2074040)Termination phase: Saturation
% 18.89/3.20 % (2074040)Time elapsed: 1.179 s
% 18.89/3.20 % (2074040)Peak memory usage: 16 MB
% 18.89/3.20 % (2074040)Instructions burned: 2472 (million)
% 18.89/3.20 % (2074091)Instruction limit reached!
% 18.89/3.20 % (2074091)------------------------------
% 18.89/3.20 % (2074091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.89/3.20 % (2074091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.20 % (2074091)CaDiCaL version: 2.1.3
% 18.89/3.20 % (2074091)Termination reason: Instruction limit
% 18.89/3.20 % (2074091)Termination phase: Saturation
% 18.89/3.20 % (2074091)Time elapsed: 0.304 s
% 18.89/3.20 % (2074091)Peak memory usage: 12 MB
% 18.89/3.20 % (2074091)Instructions burned: 494 (million)
% 18.89/3.20 % (2074098)Instruction limit reached!
% 18.89/3.20 % (2074098)------------------------------
% 18.89/3.20 % (2074098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.89/3.20 % (2074098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.20 % (2074098)CaDiCaL version: 2.1.3
% 18.89/3.20 % (2074098)Termination reason: Instruction limit
% 18.89/3.20 % (2074098)Termination phase: Saturation
% 18.89/3.20 % (2074098)Time elapsed: 0.250 s
% 18.89/3.20 % (2074098)Peak memory usage: 12 MB
% 18.89/3.20 % (2074098)Instructions burned: 672 (million)
% 18.89/3.20 % (2074115)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=947551005:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/336Mi)
% 20.91/3.53 % (2074115)Refutation not found, incomplete strategy
% 20.91/3.53 % (2074115)------------------------------
% 20.91/3.53 % (2074115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.91/3.53 % (2074115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.91/3.53 % (2074115)CaDiCaL version: 2.1.3
% 20.91/3.53 % (2074115)Termination reason: Refutation not found, incomplete strategy
% 20.91/3.53 % (2074115)Time elapsed: 0.001 s
% 20.91/3.53 % (2074115)Peak memory usage: 11 MB
% 20.91/3.53 % (2074116)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=1530844214:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2973 on theBenchmark for (2973ds/1142Mi)
% 20.91/3.53 % (2074115)------------------------------
% 20.91/3.53 % (2074115)------------------------------
% 20.91/3.53 % (2074120)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1508945339:i=766:bd=all:rtra=on_2973 on theBenchmark for (2973ds/766Mi)
% 20.91/3.53 % (2074120)Refutation not found, incomplete strategy
% 20.91/3.53 % (2074120)------------------------------
% 20.91/3.53 % (2074120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.91/3.53 % (2074120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.91/3.53 % (2074120)CaDiCaL version: 2.1.3
% 20.91/3.53 % (2074120)Termination reason: Refutation not found, incomplete strategy
% 20.91/3.53 % (2074120)Time elapsed: 0.001 s
% 20.91/3.53 % (2074120)Peak memory usage: 12 MB
% 20.91/3.53 % (2074120)Instructions burned: 1 (million)
% 20.91/3.53 % (2074117)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3557440900:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/376Mi)
% 20.91/3.53 % (2074120)------------------------------
% 20.91/3.53 % (2074120)------------------------------
% 20.91/3.53 % (2074117)Refutation not found, incomplete strategy
% 20.91/3.53 % (2074117)------------------------------
% 20.91/3.53 % (2074117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.91/3.53 % (2074117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.91/3.53 % (2074117)CaDiCaL version: 2.1.3
% 20.91/3.53 % (2074117)Termination reason: Refutation not found, incomplete strategy
% 20.91/3.53 % (2074117)Time elapsed: 0.001 s
% 20.91/3.53 % (2074117)Peak memory usage: 11 MB
% 20.91/3.53 % (2074117)------------------------------
% 20.91/3.53 % (2074117)------------------------------
% 20.91/3.53 % (2074123)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 20.91/3.53 % (2074123)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2455001911: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_2972 on theBenchmark for (2972ds/959Mi)
% 20.91/3.53 % (2074123)Refutation not found, incomplete strategy
% 20.91/3.53 % (2074123)------------------------------
% 20.91/3.53 % (2074123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.91/3.53 % (2074123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.91/3.53 % (2074123)CaDiCaL version: 2.1.3
% 20.91/3.53 % (2074123)Termination reason: Refutation not found, incomplete strategy
% 20.91/3.53 % (2074123)Time elapsed: 0.001 s
% 20.91/3.53 % (2074123)Peak memory usage: 11 MB
% 20.91/3.53 % (2074123)------------------------------
% 20.91/3.53 % (2074123)------------------------------
% 20.91/3.53 % (2074124)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=2353506638:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2972 on theBenchmark for (2972ds/6359Mi)
% 20.91/3.53 % (2074126)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2079077882:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2972 on theBenchmark for (2972ds/35Mi)
% 20.91/3.53 % (2074126)Refutation not found, incomplete strategy
% 20.91/3.53 % (2074126)------------------------------
% 20.91/3.53 % (2074126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.91/3.53 % (2074126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.67 % (2074126)CaDiCaL version: 2.1.3
% 21.38/3.67 % (2074126)Termination reason: Refutation not found, incomplete strategy
% 21.38/3.67 % (2074126)Time elapsed: 0.0000 s
% 21.38/3.67 % (2074126)Peak memory usage: 11 MB
% 21.38/3.67 % (2074126)------------------------------
% 21.38/3.67 % (2074126)------------------------------
% 21.38/3.67 % (2074104)Instruction limit reached!
% 21.38/3.67 % (2074104)------------------------------
% 21.38/3.67 % (2074104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.67 % (2074104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.67 % (2074104)CaDiCaL version: 2.1.3
% 21.38/3.67 % (2074104)Termination reason: Instruction limit
% 21.38/3.67 % (2074104)Termination phase: Saturation
% 21.38/3.67 % (2074104)Time elapsed: 0.317 s
% 21.38/3.67 % (2074104)Peak memory usage: 12 MB
% 21.38/3.67 % (2074104)Instructions burned: 695 (million)
% 21.38/3.67 % (2074129)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3956841069:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2972 on theBenchmark for (2972ds/53Mi)
% 21.38/3.67 % (2074131)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1071541952:s2a=on:i=876:s2at=6:nm=2:rtra=on_2972 on theBenchmark for (2972ds/876Mi)
% 21.38/3.67 % (2074129)Instruction limit reached!
% 21.38/3.67 % (2074129)------------------------------
% 21.38/3.67 % (2074129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.67 % (2074129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.67 % (2074129)CaDiCaL version: 2.1.3
% 21.38/3.67 % (2074129)Termination reason: Instruction limit
% 21.38/3.67 % (2074129)Termination phase: Saturation
% 21.38/3.67 % (2074129)Time elapsed: 0.042 s
% 21.38/3.67 % (2074129)Peak memory usage: 12 MB
% 21.38/3.67 % (2074129)Instructions burned: 54 (million)
% 21.38/3.67 % (2074134)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2763009182:i=57:ep=R:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/57Mi)
% 21.38/3.67 % (2074134)Instruction limit reached!
% 21.38/3.67 % (2074134)------------------------------
% 21.38/3.67 % (2074134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.67 % (2074134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.67 % (2074134)CaDiCaL version: 2.1.3
% 21.38/3.67 % (2074134)Termination reason: Instruction limit
% 21.38/3.67 % (2074134)Termination phase: Saturation
% 21.38/3.67 % (2074134)Time elapsed: 0.029 s
% 21.38/3.67 % (2074134)Peak memory usage: 12 MB
% 21.38/3.67 % (2074134)Instructions burned: 57 (million)
% 21.38/3.67 % (2074136)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 21.38/3.67 % (2074136)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=387753355:i=306:bd=all:rtra=on_2971 on theBenchmark for (2971ds/306Mi)
% 21.38/3.67 % (2074136)Refutation not found, incomplete strategy
% 21.38/3.67 % (2074136)------------------------------
% 21.38/3.67 % (2074136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.67 % (2074136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.67 % (2074136)CaDiCaL version: 2.1.3
% 21.38/3.67 % (2074136)Termination reason: Refutation not found, incomplete strategy
% 21.38/3.67 % (2074136)Time elapsed: 0.001 s
% 21.38/3.67 % (2074136)Peak memory usage: 12 MB
% 21.38/3.67 % (2074136)Instructions burned: 1 (million)
% 21.38/3.67 % (2074136)------------------------------
% 21.38/3.67 % (2074136)------------------------------
% 21.38/3.67 % (2074138)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1292896690:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/262Mi)
% 21.38/3.67 % (2074138)Refutation not found, incomplete strategy
% 21.38/3.67 % (2074138)------------------------------
% 21.38/3.67 % (2074138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.67 % (2074138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.67 % (2074138)CaDiCaL version: 2.1.3
% 21.38/3.67 % (2074138)Termination reason: Refutation not found, incomplete strategy
% 21.38/3.67 % (2074138)Time elapsed: 0.001 s
% 21.38/3.67 % (2074138)Peak memory usage: 11 MB
% 21.38/3.67 % (2074138)------------------------------
% 21.38/3.67 % (2074138)------------------------------
% 21.38/3.67 % (2074140)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 22.83/3.82 % (2074140)ott+1002_16_sil=128000:si=on:random_seed=2570232790:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2970 on theBenchmark for (2970ds/409Mi)
% 22.83/3.82 % (2074101)Instruction limit reached!
% 22.83/3.82 % (2074101)------------------------------
% 22.83/3.82 % (2074101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/3.82 % (2074101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/3.82 % (2074101)CaDiCaL version: 2.1.3
% 22.83/3.82 % (2074101)Termination reason: Instruction limit
% 22.83/3.82 % (2074101)Termination phase: Saturation
% 22.83/3.82 % (2074101)Time elapsed: 0.577 s
% 22.83/3.82 % (2074101)Peak memory usage: 12 MB
% 22.83/3.82 % (2074101)Instructions burned: 858 (million)
% 22.83/3.82 % (2074143)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=3856979991:s2a=on:i=381:rtra=on_2969 on theBenchmark for (2969ds/381Mi)
% 22.83/3.82 % (2074116)Instruction limit reached!
% 22.83/3.82 % (2074116)------------------------------
% 22.83/3.82 % (2074116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/3.82 % (2074116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/3.82 % (2074116)CaDiCaL version: 2.1.3
% 22.83/3.82 % (2074116)Termination reason: Instruction limit
% 22.83/3.82 % (2074116)Termination phase: Saturation
% 22.83/3.82 % (2074116)Time elapsed: 0.461 s
% 22.83/3.82 % (2074116)Peak memory usage: 14 MB
% 22.83/3.82 % (2074116)Instructions burned: 1143 (million)
% 22.83/3.82 % (2074140)Instruction limit reached!
% 22.83/3.82 % (2074140)------------------------------
% 22.83/3.82 % (2074140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/3.82 % (2074140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/3.82 % (2074140)CaDiCaL version: 2.1.3
% 22.83/3.82 % (2074140)Termination reason: Instruction limit
% 22.83/3.82 % (2074140)Termination phase: Saturation
% 22.83/3.82 % (2074140)Time elapsed: 0.219 s
% 22.83/3.82 % (2074140)Peak memory usage: 12 MB
% 22.83/3.82 % (2074140)Instructions burned: 410 (million)
% 22.83/3.82 % (2074145)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2219752859:cond=on:i=324:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/324Mi)
% 22.83/3.82 % (2074146)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=1492158734:i=240:kws=inv_precedence:rtra=on_2968 on theBenchmark for (2968ds/240Mi)
% 22.83/3.82 % (2074146)Refutation not found, incomplete strategy
% 22.83/3.82 % (2074146)------------------------------
% 22.83/3.82 % (2074146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/3.82 % (2074146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/3.82 % (2074146)CaDiCaL version: 2.1.3
% 22.83/3.82 % (2074146)Termination reason: Refutation not found, incomplete strategy
% 22.83/3.82 % (2074146)Time elapsed: 0.002 s
% 22.83/3.82 % (2074146)Peak memory usage: 11 MB
% 22.83/3.82 % (2074146)Instructions burned: 1 (million)
% 22.83/3.82 % (2074146)------------------------------
% 22.83/3.82 % (2074146)------------------------------
% 22.83/3.82 % (2074131)Instruction limit reached!
% 22.83/3.82 % (2074131)------------------------------
% 22.83/3.82 % (2074131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/3.82 % (2074131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/3.82 % (2074131)CaDiCaL version: 2.1.3
% 22.83/3.82 % (2074131)Termination reason: Instruction limit
% 22.83/3.82 % (2074131)Termination phase: Saturation
% 22.83/3.82 % (2074131)Time elapsed: 0.408 s
% 22.83/3.82 % (2074131)Peak memory usage: 12 MB
% 22.83/3.82 % (2074131)Instructions burned: 878 (million)
% 22.83/3.82 % (2074149)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 22.83/3.82 % (2074149)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3885694506:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/124Mi)
% 22.83/3.82 % (2074150)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3228382732:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2968 on theBenchmark for (2968ds/223Mi)
% 22.83/3.82 % (2074149)Instruction limit reached!
% 22.83/3.82 % (2074149)------------------------------
% 22.83/3.82 % (2074149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/3.82 % (2074149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/4.01 % (2074149)CaDiCaL version: 2.1.3
% 23.45/4.01 % (2074149)Termination reason: Instruction limit
% 23.45/4.01 % (2074149)Termination phase: Saturation
% 23.45/4.01 % (2074149)Time elapsed: 0.046 s
% 23.45/4.01 % (2074149)Peak memory usage: 12 MB
% 23.45/4.01 % (2074149)Instructions burned: 125 (million)
% 23.45/4.01 % (2074153)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1316979168:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2967 on theBenchmark for (2967ds/282Mi)
% 23.45/4.01 % (2074150)Instruction limit reached!
% 23.45/4.01 % (2074150)------------------------------
% 23.45/4.01 % (2074150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.45/4.01 % (2074150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/4.01 % (2074150)CaDiCaL version: 2.1.3
% 23.45/4.01 % (2074150)Termination reason: Instruction limit
% 23.45/4.01 % (2074150)Termination phase: Saturation
% 23.45/4.01 % (2074150)Time elapsed: 0.099 s
% 23.45/4.01 % (2074150)Peak memory usage: 12 MB
% 23.45/4.01 % (2074150)Instructions burned: 223 (million)
% 23.45/4.01 % (2074145)Instruction limit reached!
% 23.45/4.01 % (2074145)------------------------------
% 23.45/4.01 % (2074145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.45/4.01 % (2074145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/4.01 % (2074145)CaDiCaL version: 2.1.3
% 23.45/4.01 % (2074145)Termination reason: Instruction limit
% 23.45/4.01 % (2074145)Termination phase: Saturation
% 23.45/4.01 % (2074145)Time elapsed: 0.170 s
% 23.45/4.01 % (2074145)Peak memory usage: 12 MB
% 23.45/4.01 % (2074145)Instructions burned: 324 (million)
% 23.45/4.01 % (2074155)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3756163700:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/464Mi)
% 23.45/4.01 % (2074155)Refutation not found, incomplete strategy
% 23.45/4.01 % (2074155)------------------------------
% 23.45/4.01 % (2074155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.45/4.01 % (2074155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/4.01 % (2074155)CaDiCaL version: 2.1.3
% 23.45/4.01 % (2074155)Termination reason: Refutation not found, incomplete strategy
% 23.45/4.01 % (2074155)Time elapsed: 0.005 s
% 23.45/4.01 % (2074155)Peak memory usage: 11 MB
% 23.45/4.01 % (2074155)Instructions burned: 1 (million)
% 23.45/4.01 % (2074155)------------------------------
% 23.45/4.01 % (2074155)------------------------------
% 23.45/4.01 % (2074143)Instruction limit reached!
% 23.45/4.01 % (2074143)------------------------------
% 23.45/4.01 % (2074143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.45/4.01 % (2074143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/4.01 % (2074143)CaDiCaL version: 2.1.3
% 23.45/4.01 % (2074143)Termination reason: Instruction limit
% 23.45/4.01 % (2074143)Termination phase: Saturation
% 23.45/4.01 % (2074143)Time elapsed: 0.305 s
% 23.45/4.01 % (2074143)Peak memory usage: 12 MB
% 23.45/4.01 % (2074143)Instructions burned: 381 (million)
% 23.45/4.01 % (2074157)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=799333336:i=88:s2at=3:nm=2:rtra=on:rawr=on_2966 on theBenchmark for (2966ds/88Mi)
% 23.45/4.01 % (2074158)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3775553983:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2966 on theBenchmark for (2966ds/280Mi)
% 23.45/4.01 % (2074159)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 23.45/4.01 % (2074159)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2441311839:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/4386Mi)
% 23.45/4.01 % (2074153)Instruction limit reached!
% 23.45/4.01 % (2074153)------------------------------
% 23.45/4.01 % (2074153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.45/4.01 % (2074153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/4.01 % (2074153)CaDiCaL version: 2.1.3
% 23.45/4.01 % (2074153)Termination reason: Instruction limit
% 23.45/4.01 % (2074153)Termination phase: Saturation
% 23.45/4.01 % (2074153)Time elapsed: 0.125 s
% 23.45/4.01 % (2074153)Peak memory usage: 12 MB
% 23.45/4.01 % (2074153)Instructions burned: 284 (million)
% 25.02/4.16 % (2074163)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 25.02/4.16 % (2074163)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 25.02/4.16 % (2074163)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=1043936886:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2966 on theBenchmark for (2966ds/483Mi)
% 25.02/4.16 % (2074163)Refutation not found, incomplete strategy
% 25.02/4.16 % (2074163)------------------------------
% 25.02/4.16 % (2074163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.02/4.16 % (2074163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.02/4.16 % (2074163)CaDiCaL version: 2.1.3
% 25.02/4.16 % (2074163)Termination reason: Refutation not found, incomplete strategy
% 25.02/4.16 % (2074163)Time elapsed: 0.001 s
% 25.02/4.16 % (2074163)Peak memory usage: 12 MB
% 25.02/4.16 % (2074163)------------------------------
% 25.02/4.16 % (2074163)------------------------------
% 25.02/4.16 % (2074157)Instruction limit reached!
% 25.02/4.16 % (2074157)------------------------------
% 25.02/4.16 % (2074157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.02/4.16 % (2074157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.02/4.16 % (2074157)CaDiCaL version: 2.1.3
% 25.02/4.16 % (2074157)Termination reason: Instruction limit
% 25.02/4.16 % (2074157)Termination phase: Saturation
% 25.02/4.16 % (2074157)Time elapsed: 0.068 s
% 25.02/4.16 % (2074157)Peak memory usage: 13 MB
% 25.02/4.16 % (2074157)Instructions burned: 90 (million)
% 25.02/4.16 % (2074165)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3592507714:i=73:rtra=on_2965 on theBenchmark for (2965ds/73Mi)
% 25.02/4.16 % (2074165)Refutation not found, incomplete strategy
% 25.02/4.16 % (2074165)------------------------------
% 25.02/4.16 % (2074165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.02/4.16 % (2074165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.02/4.16 % (2074165)CaDiCaL version: 2.1.3
% 25.02/4.16 % (2074165)Termination reason: Refutation not found, incomplete strategy
% 25.02/4.16 % (2074165)Time elapsed: 0.005 s
% 25.02/4.16 % (2074165)Peak memory usage: 11 MB
% 25.02/4.16 % (2074165)Instructions burned: 1 (million)
% 25.02/4.16 % (2074165)------------------------------
% 25.02/4.16 % (2074165)------------------------------
% 25.02/4.16 % (2074166)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=490062448:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2965 on theBenchmark for (2965ds/176Mi)
% 25.02/4.16 % (2074168)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 25.02/4.16 % (2074168)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3801093154:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2965 on theBenchmark for (2965ds/39Mi)
% 25.02/4.16 % (2074168)Instruction limit reached!
% 25.02/4.16 % (2074168)------------------------------
% 25.02/4.16 % (2074168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.02/4.16 % (2074168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.02/4.16 % (2074168)CaDiCaL version: 2.1.3
% 25.02/4.16 % (2074168)Termination reason: Instruction limit
% 25.02/4.16 % (2074168)Termination phase: Saturation
% 25.02/4.16 % (2074168)Time elapsed: 0.020 s
% 25.02/4.16 % (2074168)Peak memory usage: 12 MB
% 25.02/4.16 % (2074168)Instructions burned: 40 (million)
% 25.02/4.16 % (2074171)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1299660952:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2964 on theBenchmark for (2964ds/708Mi)
% 25.02/4.16 % (2074166)Instruction limit reached!
% 25.02/4.16 % (2074166)------------------------------
% 25.02/4.16 % (2074166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.02/4.16 % (2074166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.02/4.16 % (2074166)CaDiCaL version: 2.1.3
% 25.02/4.16 % (2074166)Termination reason: Instruction limit
% 25.02/4.16 % (2074166)Termination phase: Saturation
% 25.02/4.16 % (2074166)Time elapsed: 0.080 s
% 25.02/4.16 % (2074166)Peak memory usage: 12 MB
% 25.02/4.16 % (2074166)Instructions burned: 178 (million)
% 26.05/4.33 % (2073973)Instruction limit reached!
% 26.05/4.33 % (2073973)------------------------------
% 26.05/4.33 % (2073973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.05/4.33 % (2073973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.05/4.33 % (2073973)CaDiCaL version: 2.1.3
% 26.05/4.33 % (2073973)Termination reason: Instruction limit
% 26.05/4.33 % (2073973)Termination phase: Saturation
% 26.05/4.33 % (2073973)Time elapsed: 2.723 s
% 26.05/4.33 % (2073973)Peak memory usage: 16 MB
% 26.05/4.33 % (2073973)Instructions burned: 9840 (million)
% 26.05/4.33 % (2074173)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
% 26.05/4.33 % (2074173)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=3501644474:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/252Mi)
% 26.05/4.33 % (2074174)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2937879018:i=823:fsr=off:rtra=on_2964 on theBenchmark for (2964ds/823Mi)
% 26.05/4.33 % (2074158)Instruction limit reached!
% 26.05/4.33 % (2074158)------------------------------
% 26.05/4.33 % (2074158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.05/4.33 % (2074158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.05/4.33 % (2074158)CaDiCaL version: 2.1.3
% 26.05/4.33 % (2074158)Termination reason: Instruction limit
% 26.05/4.33 % (2074158)Termination phase: Saturation
% 26.05/4.33 % (2074158)Time elapsed: 0.234 s
% 26.05/4.33 % (2074158)Peak memory usage: 12 MB
% 26.05/4.33 % (2074158)Instructions burned: 280 (million)
% 26.05/4.33 % (2074177)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 26.05/4.33 % (2074177)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=3978606540:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2963 on theBenchmark for (2963ds/16202Mi)
% 26.05/4.33 % (2074177)Refutation not found, incomplete strategy
% 26.05/4.33 % (2074177)------------------------------
% 26.05/4.33 % (2074177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.05/4.33 % (2074177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.05/4.33 % (2074177)CaDiCaL version: 2.1.3
% 26.05/4.33 % (2074177)Termination reason: Refutation not found, incomplete strategy
% 26.05/4.33 % (2074177)Time elapsed: 0.001 s
% 26.05/4.33 % (2074177)Peak memory usage: 12 MB
% 26.05/4.33 % (2074177)Instructions burned: 2 (million)
% 26.05/4.33 % (2074177)------------------------------
% 26.05/4.33 % (2074177)------------------------------
% 26.05/4.33 % (2074179)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=871916505:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/300Mi)
% 26.05/4.33 % (2074173)Instruction limit reached!
% 26.05/4.33 % (2074173)------------------------------
% 26.05/4.33 % (2074173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.05/4.33 % (2074173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.05/4.33 % (2074173)CaDiCaL version: 2.1.3
% 26.05/4.33 % (2074173)Termination reason: Instruction limit
% 26.05/4.33 % (2074173)Termination phase: Saturation
% 26.05/4.33 % (2074173)Time elapsed: 0.101 s
% 26.05/4.33 % (2074173)Peak memory usage: 12 MB
% 26.05/4.33 % (2074173)Instructions burned: 252 (million)
% 26.05/4.33 % (2074181)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 26.05/4.33 % (2074181)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 26.05/4.33 % (2074181)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=783421180:i=177:add=on:bd=preordered:rtra=on:rawr=on_2963 on theBenchmark for (2963ds/177Mi)
% 26.05/4.33 % (2074113)Instruction limit reached!
% 26.05/4.33 % (2074113)------------------------------
% 26.05/4.33 % (2074113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.05/4.33 % (2074113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.05/4.33 % (2074113)CaDiCaL version: 2.1.3
% 26.98/4.47 % (2074113)Termination reason: Instruction limit
% 26.98/4.47 % (2074113)Termination phase: Saturation
% 26.98/4.47 % (2074113)Time elapsed: 1.189 s
% 26.98/4.47 % (2074113)Peak memory usage: 17 MB
% 26.98/4.47 % (2074113)Instructions burned: 2241 (million)
% 26.98/4.47 % (2074183)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3966256204:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2962 on theBenchmark for (2962ds/715Mi)
% 26.98/4.47 % (2074183)Refutation not found, incomplete strategy
% 26.98/4.47 % (2074183)------------------------------
% 26.98/4.47 % (2074183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.98/4.47 % (2074183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.98/4.47 % (2074183)CaDiCaL version: 2.1.3
% 26.98/4.47 % (2074183)Termination reason: Refutation not found, incomplete strategy
% 26.98/4.47 % (2074183)Time elapsed: 0.001 s
% 26.98/4.47 % (2074183)Peak memory usage: 11 MB
% 26.98/4.47 % (2074183)Instructions burned: 2 (million)
% 26.98/4.47 % (2074183)------------------------------
% 26.98/4.47 % (2074183)------------------------------
% 26.98/4.47 % (2074181)Instruction limit reached!
% 26.98/4.47 % (2074181)------------------------------
% 26.98/4.47 % (2074181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.98/4.47 % (2074181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.98/4.47 % (2074181)CaDiCaL version: 2.1.3
% 26.98/4.47 % (2074181)Termination reason: Instruction limit
% 26.98/4.47 % (2074181)Termination phase: Saturation
% 26.98/4.47 % (2074181)Time elapsed: 0.082 s
% 26.98/4.47 % (2074181)Peak memory usage: 12 MB
% 26.98/4.47 % (2074181)Instructions burned: 178 (million)
% 26.98/4.47 % (2074185)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 26.98/4.47 % (2074185)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 26.98/4.47 % (2074185)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=52159844:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2962 on theBenchmark for (2962ds/230Mi)
% 26.98/4.47 % (2074185)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 26.98/4.47 % (2074186)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1318133532:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2962 on theBenchmark for (2962ds/606Mi)
% 26.98/4.47 % (2074179)Instruction limit reached!
% 26.98/4.47 % (2074179)------------------------------
% 26.98/4.47 % (2074179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.98/4.47 % (2074179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.98/4.47 % (2074179)CaDiCaL version: 2.1.3
% 26.98/4.47 % (2074179)Termination reason: Instruction limit
% 26.98/4.47 % (2074179)Termination phase: Saturation
% 26.98/4.47 % (2074179)Time elapsed: 0.130 s
% 26.98/4.47 % (2074179)Peak memory usage: 12 MB
% 26.98/4.47 % (2074179)Instructions burned: 300 (million)
% 26.98/4.47 % (2074171)Instruction limit reached!
% 26.98/4.47 % (2074171)------------------------------
% 26.98/4.47 % (2074171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.98/4.47 % (2074171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.98/4.47 % (2074171)CaDiCaL version: 2.1.3
% 26.98/4.47 % (2074171)Termination reason: Instruction limit
% 26.98/4.47 % (2074171)Termination phase: Saturation
% 26.98/4.47 % (2074171)Time elapsed: 0.268 s
% 26.98/4.47 % (2074171)Peak memory usage: 13 MB
% 26.98/4.47 % (2074171)Instructions burned: 709 (million)
% 26.98/4.47 % (2074189)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 26.98/4.47 % (2074189)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2914591432:lrd=on:i=841:nm=0:rtra=on_2962 on theBenchmark for (2962ds/841Mi)
% 26.98/4.47 % (2074190)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1387823992:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2962 on theBenchmark for (2962ds/445Mi)
% 26.98/4.47 % (2074185)Instruction limit reached!
% 26.98/4.47 % (2074185)------------------------------
% 26.98/4.47 % (2074185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.98/4.47 % (2074185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.67/4.58 % (2074185)CaDiCaL version: 2.1.3
% 27.67/4.58 % (2074185)Termination reason: Instruction limit
% 27.67/4.58 % (2074185)Termination phase: Saturation
% 27.67/4.58 % (2074185)Time elapsed: 0.105 s
% 27.67/4.58 % (2074185)Peak memory usage: 12 MB
% 27.67/4.58 % (2074185)Instructions burned: 230 (million)
% 27.67/4.58 % (2074193)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3353037766:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2961 on theBenchmark for (2961ds/71Mi)
% 27.67/4.58 % (2074193)Instruction limit reached!
% 27.67/4.58 % (2074193)------------------------------
% 27.67/4.58 % (2074193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.67/4.58 % (2074193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.67/4.58 % (2074193)CaDiCaL version: 2.1.3
% 27.67/4.58 % (2074193)Termination reason: Instruction limit
% 27.67/4.58 % (2074193)Termination phase: Saturation
% 27.67/4.58 % (2074193)Time elapsed: 0.037 s
% 27.67/4.58 % (2074193)Peak memory usage: 12 MB
% 27.67/4.58 % (2074193)Instructions burned: 73 (million)
% 27.67/4.58 % (2074195)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
% 27.67/4.58 % (2074195)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 27.67/4.58 % (2074195)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1226669946:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2960 on theBenchmark for (2960ds/100Mi)
% 27.67/4.58 % (2074195)Instruction limit reached!
% 27.67/4.58 % (2074195)------------------------------
% 27.67/4.58 % (2074195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.67/4.58 % (2074195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.67/4.58 % (2074195)CaDiCaL version: 2.1.3
% 27.67/4.58 % (2074195)Termination reason: Instruction limit
% 27.67/4.58 % (2074195)Termination phase: Saturation
% 27.67/4.58 % (2074195)Time elapsed: 0.048 s
% 27.67/4.58 % (2074195)Peak memory usage: 12 MB
% 27.67/4.58 % (2074195)Instructions burned: 102 (million)
% 27.67/4.58 % (2074197)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 27.67/4.58 % (2074197)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=231717346:i=1352:add=on:aac=none:rtra=on_2959 on theBenchmark for (2959ds/1352Mi)
% 27.67/4.58 % (2074197)Refutation not found, incomplete strategy
% 27.67/4.58 % (2074197)------------------------------
% 27.67/4.58 % (2074197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.67/4.58 % (2074197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.67/4.58 % (2074197)CaDiCaL version: 2.1.3
% 27.67/4.58 % (2074197)Termination reason: Refutation not found, incomplete strategy
% 27.67/4.58 % (2074197)Time elapsed: 0.002 s
% 27.67/4.58 % (2074197)Peak memory usage: 11 MB
% 27.67/4.58 % (2074197)Instructions burned: 3 (million)
% 27.67/4.58 % (2074197)------------------------------
% 27.67/4.58 % (2074197)------------------------------
% 27.67/4.58 % (2074190)Instruction limit reached!
% 27.67/4.58 % (2074190)------------------------------
% 27.67/4.58 % (2074190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.67/4.58 % (2074190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.67/4.58 % (2074190)CaDiCaL version: 2.1.3
% 27.67/4.58 % (2074190)Termination reason: Instruction limit
% 27.67/4.58 % (2074190)Termination phase: Saturation
% 27.67/4.58 % (2074190)Time elapsed: 0.227 s
% 27.67/4.58 % (2074190)Peak memory usage: 14 MB
% 27.67/4.58 % (2074190)Instructions burned: 446 (million)
% 27.67/4.58 % (2074199)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=2686655998:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2959 on theBenchmark for (2959ds/646Mi)
% 27.67/4.58 % (2074186)Instruction limit reached!
% 27.67/4.58 % (2074186)------------------------------
% 27.67/4.58 % (2074186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.67/4.58 % (2074186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.89/4.70 % (2074186)CaDiCaL version: 2.1.3
% 28.89/4.70 % (2074186)Termination reason: Instruction limit
% 28.89/4.70 % (2074186)Termination phase: Saturation
% 28.89/4.70 % (2074186)Time elapsed: 0.269 s
% 28.89/4.70 % (2074186)Peak memory usage: 12 MB
% 28.89/4.70 % (2074186)Instructions burned: 607 (million)
% 28.89/4.70 % (2074200)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=942297602:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2959 on theBenchmark for (2959ds/1924Mi)
% 28.89/4.70 % (2074200)Refutation not found, incomplete strategy
% 28.89/4.70 % (2074200)------------------------------
% 28.89/4.70 % (2074200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.89/4.70 % (2074200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.89/4.70 % (2074200)CaDiCaL version: 2.1.3
% 28.89/4.70 % (2074200)Termination reason: Refutation not found, incomplete strategy
% 28.89/4.70 % (2074200)Time elapsed: 0.001 s
% 28.89/4.70 % (2074200)Peak memory usage: 11 MB
% 28.89/4.70 % (2074200)------------------------------
% 28.89/4.70 % (2074200)------------------------------
% 28.89/4.70 % (2074202)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=87416788:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2959 on theBenchmark for (2959ds/984Mi)
% 28.89/4.70 % (2074202)Refutation not found, incomplete strategy
% 28.89/4.70 % (2074202)------------------------------
% 28.89/4.70 % (2074202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.89/4.70 % (2074202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.89/4.70 % (2074202)CaDiCaL version: 2.1.3
% 28.89/4.70 % (2074202)Termination reason: Refutation not found, incomplete strategy
% 28.89/4.70 % (2074202)Time elapsed: 0.001 s
% 28.89/4.70 % (2074202)Peak memory usage: 11 MB
% 28.89/4.70 % (2074202)Instructions burned: 1 (million)
% 28.89/4.70 % (2074202)------------------------------
% 28.89/4.70 % (2074202)------------------------------
% 28.89/4.70 % (2074204)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=2706962680:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2959 on theBenchmark for (2959ds/592Mi)
% 28.89/4.70 % (2074206)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=2935612075:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2959 on theBenchmark for (2959ds/872Mi)
% 28.89/4.70 % (2074206)Refutation not found, incomplete strategy
% 28.89/4.70 % (2074206)------------------------------
% 28.89/4.70 % (2074206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.89/4.70 % (2074206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.89/4.70 % (2074206)CaDiCaL version: 2.1.3
% 28.89/4.70 % (2074206)Termination reason: Refutation not found, incomplete strategy
% 28.89/4.70 % (2074206)Time elapsed: 0.001 s
% 28.89/4.70 % (2074206)Peak memory usage: 11 MB
% 28.89/4.70 % (2074206)------------------------------
% 28.89/4.70 % (2074206)------------------------------
% 28.89/4.70 % (2074209)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 28.89/4.70 % (2074209)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=1672661948:i=999:add=on:rtra=on_2959 on theBenchmark for (2959ds/999Mi)
% 28.89/4.70 % (2074189)Instruction limit reached!
% 28.89/4.70 % (2074189)------------------------------
% 28.89/4.70 % (2074189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.89/4.70 % (2074189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.89/4.70 % (2074189)CaDiCaL version: 2.1.3
% 28.89/4.70 % (2074189)Termination reason: Instruction limit
% 28.89/4.70 % (2074189)Termination phase: Saturation
% 28.89/4.70 % (2074189)Time elapsed: 0.380 s
% 28.89/4.70 % (2074189)Peak memory usage: 13 MB
% 28.89/4.70 % (2074189)Instructions burned: 842 (million)
% 28.89/4.70 % (2074174)Instruction limit reached!
% 28.89/4.70 % (2074174)------------------------------
% 28.89/4.70 % (2074174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.89/4.70 % (2074174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.89/4.70 % (2074174)CaDiCaL version: 2.1.3
% 28.89/4.70 % (2074174)Termination reason: Instruction limit
% 28.89/4.70 % (2074174)Termination phase: Saturation
% 28.89/4.70 % (2074174)Time elapsed: 0.602 s
% 28.89/4.70 % (2074174)Peak memory usage: 13 MB
% 29.12/4.89 % (2074174)Instructions burned: 824 (million)
% 29.12/4.89 % (2074211)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 29.12/4.89 % (2074211)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=3525985707:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2958 on theBenchmark for (2958ds/244Mi)
% 29.12/4.89 % (2074212)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2569837643:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2958 on theBenchmark for (2958ds/113Mi)
% 29.12/4.89 % (2074211)Refutation not found, incomplete strategy
% 29.12/4.89 % (2074211)------------------------------
% 29.12/4.89 % (2074211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.12/4.89 % (2074211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.12/4.89 % (2074211)CaDiCaL version: 2.1.3
% 29.12/4.89 % (2074211)Termination reason: Refutation not found, incomplete strategy
% 29.12/4.89 % (2074211)Time elapsed: 0.003 s
% 29.12/4.89 % (2074211)Peak memory usage: 11 MB
% 29.12/4.89 % (2074211)Instructions burned: 3 (million)
% 29.12/4.89 % (2074212)Refutation not found, incomplete strategy
% 29.12/4.89 % (2074212)------------------------------
% 29.12/4.89 % (2074212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.12/4.89 % (2074212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.12/4.89 % (2074212)CaDiCaL version: 2.1.3
% 29.12/4.89 % (2074212)Termination reason: Refutation not found, incomplete strategy
% 29.12/4.89 % (2074212)Time elapsed: 0.002 s
% 29.12/4.89 % (2074212)Peak memory usage: 11 MB
% 29.12/4.89 % (2074212)Instructions burned: 1 (million)
% 29.12/4.89 % (2074211)------------------------------
% 29.12/4.89 % (2074211)------------------------------
% 29.12/4.89 % (2074212)------------------------------
% 29.12/4.89 % (2074212)------------------------------
% 29.12/4.89 % (2074215)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1753245086:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/7795Mi)
% 29.12/4.89 % (2074215)Refutation not found, incomplete strategy
% 29.12/4.89 % (2074215)------------------------------
% 29.12/4.89 % (2074215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.12/4.89 % (2074215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.12/4.89 % (2074215)CaDiCaL version: 2.1.3
% 29.12/4.89 % (2074215)Termination reason: Refutation not found, incomplete strategy
% 29.12/4.89 % (2074215)Time elapsed: 0.001 s
% 29.12/4.89 % (2074215)Peak memory usage: 11 MB
% 29.12/4.89 % (2074216)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1529159494:st=2:i=5026:sd=1:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/5026Mi)
% 29.12/4.89 % (2074215)------------------------------
% 29.12/4.89 % (2074215)------------------------------
% 29.12/4.89 % (2074216)Refutation not found, incomplete strategy
% 29.12/4.89 % (2074216)------------------------------
% 29.12/4.89 % (2074216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.12/4.89 % (2074216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.12/4.89 % (2074216)CaDiCaL version: 2.1.3
% 29.12/4.89 % (2074216)Termination reason: Refutation not found, incomplete strategy
% 29.12/4.89 % (2074216)Time elapsed: 0.002 s
% 29.12/4.89 % (2074216)Peak memory usage: 11 MB
% 29.12/4.89 % (2074216)------------------------------
% 29.12/4.89 % (2074216)------------------------------
% 29.12/4.89 % (2074219)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 29.12/4.89 % (2074199)Instruction limit reached!
% 29.12/4.89 % (2074199)------------------------------
% 29.12/4.89 % (2074199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.12/4.89 % (2074199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.12/4.89 % (2074199)CaDiCaL version: 2.1.3
% 29.12/4.89 % (2074199)Termination reason: Instruction limit
% 29.12/4.89 % (2074199)Termination phase: Saturation
% 29.12/4.89 % (2074199)Time elapsed: 0.243 s
% 29.12/4.89 % (2074199)Peak memory usage: 14 MB
% 29.12/4.89 % (2074199)Instructions burned: 648 (million)
% 29.12/4.89 % (2074219)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=1657220349:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2957 on theBenchmark for (2957ds/763Mi)
% 29.12/4.89 % (2074219)Refutation not found, incomplete strategy
% 29.12/4.89 % (2074219)------------------------------
% 29.12/4.89 % (2074219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.12/4.89 % (2074219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.12/4.89 % (2074219)CaDiCaL version: 2.1.3
% 29.12/4.89 % (2074219)Termination reason: Refutation not found, incomplete strategy
% 29.12/4.89 % (2074219)Time elapsed: 0.001 s
% 29.12/4.89 % (2074219)Peak memory usage: 11 MB
% 29.12/4.89 % (2074219)Instructions burned: 1 (million)
% 29.12/4.89 % (2074220)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2704920879:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2957 on theBenchmark for (2957ds/1144Mi)
% 29.12/4.89 % (2074220)Refutation not found, incomplete strategy
% 29.12/4.89 % (2074220)------------------------------
% 29.12/4.89 % (2074220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.12/4.89 % (2074220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.12/4.89 % (2074220)CaDiCaL version: 2.1.3
% 29.12/4.89 % (2074220)Termination reason: Refutation not found, incomplete strategy
% 29.12/4.89 % (2074220)Time elapsed: 0.001 s
% 29.12/4.89 % (2074220)Peak memory usage: 11 MB
% 29.12/4.89 % (2074220)------------------------------
% 29.12/4.89 % (2074220)------------------------------
% 29.12/4.89 % (2074219)------------------------------
% 29.12/4.89 % (2074219)------------------------------
% 29.12/4.89 % (2074221)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 29.12/4.89 % (2074221)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=4202993738:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2957 on theBenchmark for (2957ds/52Mi)
% 29.12/4.89 % (2074224)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=3705269460:i=1724:fsr=off:rtra=on:fe=abstraction_2956 on theBenchmark for (2956ds/1724Mi)
% 29.12/4.89 % (2074225)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=3574775880:i=439:add=on:slsql=off:rtra=on:ntd=on_2956 on theBenchmark for (2956ds/439Mi)
% 29.12/4.89 % (2074204)Instruction limit reached!
% 29.12/4.89 % (2074204)------------------------------
% 29.12/4.89 % (2074204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.12/4.89 % (2074204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.12/4.89 % (2074204)CaDiCaL version: 2.1.3
% 29.12/4.89 % (2074204)Termination reason: Instruction limit
% 29.12/4.89 % (2074204)Termination phase: Saturation
% 29.12/4.89 % (2074204)Time elapsed: 0.285 s
% 29.12/4.89 % (2074204)Peak memory usage: 12 MB
% 29.12/4.89 % (2074204)Instructions burned: 593 (million)
% 29.12/4.89 % (2074229)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1173625976:i=6395:sd=1:rtra=on:ss=axioms_2956 on theBenchmark for (2956ds/6395Mi)
% 29.12/4.89 % (2074229)Refutation not found, incomplete strategy
% 29.12/4.89 % (2074229)------------------------------
% 29.12/4.89 % (2074229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.12/4.89 % (2074229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.12/4.89 % (2074229)CaDiCaL version: 2.1.3
% 29.12/4.89 % (2074229)Termination reason: Refutation not found, incomplete strategy
% 29.12/4.89 % (2074229)Time elapsed: 0.001 s
% 29.12/4.89 % (2074229)Peak memory usage: 11 MB
% 29.12/4.89 % (2074229)------------------------------
% 29.12/4.89 % (2074229)------------------------------
% 29.12/4.89 % (2074221)Instruction limit reached!
% 29.12/4.89 % (2074221)------------------------------
% 29.12/4.89 % (2074221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.12/4.89 % (2074221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.12/4.89 % (2074221)CaDiCaL version: 2.1.3
% 29.12/4.89 % (2074221)Termination reason: Instruction limit
% 29.12/4.89 % (2074221)Termination phase: Saturation
% 29.12/4.89 % (2074221)Time elapsed: 0.038 s
% 29.12/4.89 % (2074221)Peak memory usage: 12 MB
% 29.12/4.89 % (2074221)Instructions burned: 53 (million)
% 29.12/4.89 % (2074231)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 29.12/4.89 % (2074232)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 29.12/4.89 % (2074232)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=4040400438:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2956 on theBenchmark for (2956ds/376Mi)
% 29.12/4.89 % (2074231)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=3463585887:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2956 on theBenchmark for (2956ds/6762Mi)
% 29.12/4.89 % (2074231)Refutation not found, incomplete strategy
% 29.12/4.89 % (2074231)------------------------------
% 29.12/4.89 % (2074231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.12/4.89 % (2074231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.12/4.89 % (2074231)CaDiCaL version: 2.1.3
% 29.12/4.89 % (2074231)Termination reason: Refutation not found, incomplete strategy
% 29.12/4.89 % (2074231)Time elapsed: 0.001 s
% 29.12/4.89 % (2074231)Peak memory usage: 12 MB
% 29.12/4.89 % (2074231)------------------------------
% 29.12/4.89 % (2074231)------------------------------
% 29.12/4.89 % (2074235)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=1361054790:i=965:bd=all:ins=4:rtra=on_2955 on theBenchmark for (2955ds/965Mi)
% 29.12/4.89 % (2074124) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2073802-2074124"...
% 29.12/4.89 % (2074209)Instruction limit reached!
% 29.12/4.89 % (2074209)------------------------------
% 29.12/4.89 % (2074209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.12/4.89 % (2074209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.12/4.89 % (2074209)CaDiCaL version: 2.1.3
% 29.12/4.89 % (2074209)Termination reason: Instruction limit
% 29.12/4.89 % (2074209)Termination phase: Saturation
% 29.12/4.89 % (2074209)Time elapsed: 0.475 s
% 29.12/4.89 % (2074209)Peak memory usage: 13 MB
% 29.12/4.89 % (2074209)Instructions burned: 1000 (million)
% 29.12/4.89 % (2074124)...printing done.
% 29.12/4.89 % (2074124)Refutation found. Thanks to Tanya!
% 29.12/4.89 % SZS status Unsatisfiable for theBenchmark
% 29.12/4.89 % SZS output start Proof for theBenchmark
% See solution above
% 30.75/4.99 % (2074124)------------------------------
% 30.75/4.99 % (2074124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.75/4.99 % (2074124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.75/4.99 % (2074124)CaDiCaL version: 2.1.3
% 30.75/4.99 % (2074124)Termination reason: Refutation
% 30.75/4.99 % (2074124)Time elapsed: 1.876 s
% 30.75/4.99 % (2074124)Peak memory usage: 23 MB
% 30.75/4.99 % (2074124)Instructions burned: 6570 (million)
% 30.75/4.99 % (2073802)Success in time 4.699 s
% 30.75/4.99 % Vampire exiting
%------------------------------------------------------------------------------